Answers
Answer: -7/24
Step-by-step explanation:
move 2/3 to the opposite side of the equal sign which then changes the equation to...
3/8-2/3 = r
then change the denominators for both of them to 24.
so it would be 9/24 - 16/24
9-16 = -7
so it would be -7/24
Related Questions
A yard has a perimeter of 190 feet. If four times the length of the yard equals 15 times the width, what are its dimensions
Answers
We get the dimensions of the park as length = 75 feet and width = 20 feet.
We are given that:
A yard has a perimeter of 190 feet.
Also, four times the length of the yard equals 15 times the width.
Now,
Let the length of the yard be x.
ATQ, we get the width of the yard as:
15 width = 4 x
Width = 4 / 15 x
Perimeter = 2 ( l + b )
190 = 2( x + 4 / 15 x )
95 = 19 x / 15
19 x = 95 × 15
19 x = 1425
x = 1425 / 19
x = 75 feet.
Length = 75 feet
Width = 4 / 15 x = 20 feet.
Therefore, we get the dimensions of the park as length = 75 feet and width = 20 feet.
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Find point G on AB such that the ratio of AG to GB is 3:2.
Answers
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
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what is the answer to 5g/8-1/2=-3
plssss help
Answers
Answer:
g = -4
Step-by-step explanation:
Hope this helps :)
Evaluate the expression −x^2 + 2x-7 when X=-4
Answers
-(-4)^2+2(-4)-7
-16-8-7
=-31
Here are four equations connecting x and y k is a constant
Answers
Answer:
A : Equation 4
B: Equation 1
C: Equation 3
D: Equation 2
Step-by-step explanation:
For direct proportionality, it means as one variable increases, the other increases. E.g. as X in eqn 4 increases y increases. Same thing applies to decrease. This is cause y and x are on the "same level". In eqn 2 and 3, y and x are NOT on the same level because of the division sign.
Hope this helps!
Kindly mark (my answer) as brainliest. Thanks.
5. Analyze and Persevere A recipe calls for 0.5 cup of milk. Express the number of cups of milk as a fraction.
Answers
The number of cups of milk when represented as fraction is expressed as 1/2 cup.
Given a recipe indicates 0.5 cup of milk.
A numerical value that designates a portion of a whole is used to represent fractions.A fraction is a part or portion that is taken from the total, which might be any number, a specific sum, or an item.
To convert it into fraction, we first need to remove the decimal.
5/10
when 5 is divided by 10 we get 0.5, hence we have removed the decimal and converted it into its orignal form.
Now multiply and divide by 5.
= 5 × 5/10 × 5
= 1/2
we get the fraction part as 1/2
Hence 0.5 cup of milk represent 1/2 cup of milk as a fraction.
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Pls help! shannon is designing a new rectangular flag for the school's color guard and is determining the angles at which to cut the fabric. she wants the measure of 22 to be three times as great as the measure of z1. she thinks the measures of 23 and 24 should be equal. finally, she wants the measure of 26 to be half that of 25. determine the measures of the angles. 3
Answers
The angles are: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.
The flag is rectangle; hence, each corner will be 90°. Now, sum of ∠1 and ∠2 and sum of ∠3 and ∠4 will be 90°. We are given ∠2 is three times the ∠3. So, forming the equation -
∠2 = 3 ∠3
∠2 = 3 ∠1
∠1 + ∠2 = 90
∠1 + 3 ∠1 = 90
4 ∠1 = 90
∠1 = 22.5°
∠2 = 90 - ∠1
∠2 = 90 - 22.5
∠2 = 67.5°
According to Shannon, ∠3 = ∠4
∠3 + ∠3 = 90
2 ∠3 = 90
∠3 = 45° = ∠4
∠2 and ∠6 are the opposite angles and hence are also equal. Also, according to Shannon, ∠6 = 1/2 ∠5.
67.5 = 1/2 × ∠5
∠5 = 67.5 × 2
∠5 = 135°
Hence, each angle is: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.
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Name:
#5 Go Tigers!
Seven days a year, Tiger Stadium becomes the fifth largest city
in the state of Louisiana. Over 92,000 fans pack the stadium to
watch the Tigers play. After the game, if the fans leave at a rate
of 10% per minute, how long will it take before the stadium is
half empty?
Partner Name:
Circle:
EQUATION
y = abx
GRAPH (label the x, and y-axis, plot the four points from the table, and connect the dots to receive full credit)
X
a =
TABLE
or y = a (1+r)*
Identify if it is a GROWTH or DECAY by circling
Write your equation:
After the game, if the fans leave at a rate of 10% per minute, how long will it take before the
stadium is half empty?
b =
f(x)
MEANING OF THE EQUATION
Answers
Answer:
3/2
Step-by-step explanation:
Which statement correctly explains how Mari could find the solution to the following system of linear equations using elimination?
Multiply the first equation by 7 and the second equation by 2, and then add.
Multiply the first equation by 3 and the second equation by 5, and then subtract.
Multiply the first equation by –7 and the second equation by 2, and then add.
Multiply the first equation by –3 and the second equation by -5, and then subtract.
Answers
Multiply the first equation by 7 and the second equation by 2, and then add.
2f - 5g=-9
-7f + 3g=4
To eliminate any variable , we need to make the coefficients same with different sign and add it
the coefficient of 'f' in first equation is 2
the coefficient of 'f' in second equation is -7
We already have different sign so we make the coefficients same
To make the coefficient same , we multiply the first equation by 7 and second equation by 2
So equation becomes
14f - 35g = -63
-14f + 6g = 8
Now when we add both equations, 'f' gets cancelled
-29g = -55
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Answer:
A
Step-by-step explanation:
Edge2022
solve for x and y
(7y-20)
(5x-38)
(3x-4)
Answers
Find a number such that one-half of the number is three more than one-fourth of the number.
Answers
The number such that one-half of the number is three more than one-fourth of the number is 12.
It is given in the question that a number is such that one-half of the number is three more than one-fourth of the number.
We have to find the number.
Let the number be x.
According to the question, we can write,
x/2 = x/4 + 3
Solving the linear equation, we get,
x/2 - x/4 = 3
(2x - x)/4 = 3
x/4 = 3
x = 4*3
x = 12
Hence, the number such that one-half of the number is three more than one-fourth of the number is 12.
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find both area and perimeter of square its length is 16 cm
Answers
Answer:
Perimeter=16cm
Area=16cm
Step-by-step explanation:
we know that all 4 sides of square are equal. So,
Length of 4 sides of square= 16cm
Length of 1 side of square= 16/4cm=4cm
Now that we have found the length of single side of square, by using the formula of area and perimeter we can get of square like this:
Perimeter= 4 times the length of square
or,Perimeter= 4*4
Therefore,Perimeter=16 cm
Now,
Area=square of length of side
or,Area=4^2
Therefore, Area=16 cm
FH bisects ZEFG. Find the indicated angle measures.
m/GFH=71 °. Find m/EFH and m/EFG.
m/EFH=
m/EFG=
O
O
Answers
The measure of angle EFH, m ∠EFH is 71°
The measure of angle EFG, m ∠EFG is 142°
Calculating angles
From the question, we are to determine the measure of angle EFH and angle EFG
From the given information, we have that
FH bisects ∠EFG.
Thus, we can write that
m ∠EFH = m ∠GFH
From the given information,
m ∠GFH = 71°
∴ m ∠EFH = 71°
Also,
Since FH bisects ∠EFG
Then,
m ∠EFH + m ∠GFH = m ∠EFG
71° + 71° = m ∠EFG
142° = m ∠EFG
m ∠EFG = 142°
Hence, the measure of angle EFH, m ∠EFH is 71°
The measure of angle EFG, m ∠EFG is 142°
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Peter signed up for a program that cost $10.50 per month to stream movies to his computer. He decided to cancel the service after 5/6 month, he only has to pay for the amount of time he use the service. What number represents the total change in what amount of money Peter has after paying for the service.
Answers
In linear equation, $1.75 is amount of money Peter has after paying for the service.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Peter signed up for a program that costs $10.50 per month to stream movies to his computer.
He decided to cancel his service after 5/6 month.
So, has to pay for the amount of time he used the service
$10.50 . 5/6 = $175.5 = $8.75
The amount of money Peter has after paying for the service is
$10.50 - $8.75 = $1.75
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h is a trigonometric function of the form h(x)=a\cos(bx+c)+dBelow is the graph of h(x)h(x)h, left parenthesis, x, right parenthesis. The function has a maximum point at (-2\pi,3) and a minimum point at(− 2 π ,−4). Find a formula for h(x). Give an exact expression.
Answers
Answer is h(x) =[tex]\frac{1}{2}[/tex] cos ([tex]\frac{2}{3}[/tex]π +[tex]\frac{2}{3}[/tex]π ) - [tex]\frac{1}{2}[/tex]
∵The maximum point (- 2π. 3 )
minimum point (- π / 2 , - 4)
and h(x) = a cos (b x + c)+ d
∴ a + d = 3 d = - 1/ 2
⇒
-a + d = -4 a = 7 / 2
{solve the equation}
and -2πb + c = 0 b = 2 / 3
⇒
- ( π/ 2) b + c = λ c = 4 / 3 π
∴ h(x) =[tex]\frac{1}{2}[/tex] cos ([tex]\frac{2}{3}[/tex]π +[tex]\frac{2}{3}[/tex]π) - [tex]\frac{1}{2}[/tex]
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant
here detail explanation:
Sine Function
Sine function of an angle is the ratio between the opposite side length to that of the hypotenuse. From the above diagram, the value of sin will be:
Sin a =Opposite/Hypotenuse = CB/CA
Cos Function
Cos of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. From the above diagram, the cos function will be derived as follows.
Cos a = Adjacent/Hypotenuse = AB/CA
Tan Function
The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It should be noted that the tan can also be represented in terms of sine and cos as their ratio. From the diagram taken above, the tan function will be the following.
Tan a = Opposite/Adjacent = CB/BA
Also, in terms of sine and cos, tan can be represented as:
Tan a = sin a/cos a
Secant, Cosecant and Cotangent Functions
Secant, cosecant (csc) and cotangent are the three additional functions which are derived from the primary functions of sine, cos, and tan. The reciprocal of sine, cos, and tan are cosecant (csc), secant (sec), and cotangent (cot) respectively. The formula of each of these functions are given as:
Sec a = 1/(cos a) = Hypotenuse/Adjacent = CA/AB
Cosec a = 1/(sin a) = Hypotenuse/Opposite = CA/CB
cot a = 1/(tan a) = Adjacent/Opposite = BA/CB
Note: Inverse trigonometric functions are used to obtain an angle from any of the angle’s trigonometric ratios. Basically, inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions are represented as arcsine, arccosine, arctangent, arc cotangent, arc secant, and arc cosecant.
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If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.
Answers
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the Poisson probability distribution.
How do you find the probability of success for each trial?
Each trial has a head (success) and a tail (failure) outcome (failure). Each trial's chances of success are p = 1/2 and its chances of failure are q = 1 1/2 = 1/2. The variable X, which counts the number of successes across 12 trials, is the one that interests us. This is an illustration of a 12-trial Bernoulli experiment.What is the probability formula?
Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) E is the event, P is the probability, and S is the sample area.
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Find an approximate equation of the line that passes through the two given. Write the equation in slope-intercept form. Round the slope and the constant term to teo decimal places. (-4. 7,2. 7) and (1. 3,-7. 3)
Answers
The equation of the line in slope-intercept form passing through the points (-4.7 , 2.7) and (1.3 , -7.3) is y = -1.67x - 5.13.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given the two points, (-4.7 , 2.7) and (1.3 , -7.3), get the slope of the line using the formula:
m = (y2 - y1)/(x2 - x1)
m = (-7.3 - 2.7)/(1.3 - -4.7)
m = -10/6
m = -5/3
Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.
y = mx+ b
2.7 = -5/3(-4.7) + b
b = -77/15
Substitute the value of the slope and y-intercept in the slope-intercept form.
y = -5/3 x -77/15
y = -1.67x - 5.13
Hence, the equation of the line in slope-intercept form is y = -1.67x - 5.13.
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13. There are 4,585 students who
rode the bus to school today.
There were 3,369 students who
came to school another way.
How many students were there
in all at the school?
Answers
The number of students in all at the school is 7,954 students.
How many students are in school?In order to determine the number of students in all at the school, you would add the number of students that rode the bus with the number of students that came to school another way.
Addition is the mathematical operation that is used to determine the sum of two or more numbers. The sign used to denote addition is +. Other mathematical operations are subtraction, division and multiplication.
Number of students in school = number of students that rode the bus + number of students that came another way
4,585 + 3,369 = 7,954 students
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Researchers wanted to determine if there was an association between the level of happiness of an individual and their risk of breast cancer. The researchers studied 1813 people over the course of 5 years. During this 5-year period, they interviewed the individuals and asked questions about their daily lives and the hassles they face. In addition, hypothetical scenarios were presented to determine how each individual would handle the situation. These interviews were videotaped and studied to assess the emotions of the individuals. The researchers also determined which individuals in the study experienced any type of breast cancer over the 9-year period. After their analysis, the researchers concluded that the happy individuals were less likely to experience breast cancer. (a) What type of observational study was this? Explain. (b) What is the response variable? What is the explanatory variable?
Answers
The answers to all the subparts of the question are shown below.
What is an observational study?An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints. One common observational study is about the potential effect of a treatment on subjects, where the assignment of subjects to a treated versus a control group is beyond the investigator's control.(A) What type of observational study was this?
Because all information about the individuals was gathered at one point in time, this was a cross-sectional study.(B-1) What is the response variable?
Whether or not the woman has IDC breast cancer is the response variable. The qualitative response variable is used.(B-2) What is the explanatory variable?
Whether or not the woman has IDC breast cancer is the explanatory variable.Therefore, the answers to all the subparts of the question are shown.
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What is Euclidian Geometry?
Answers
Answer:
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.
Step-by-step explanation:
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Please look at the picture above and respond.
Answers
Question 2 of 10
Which situation shows a constant rate of change?
A. The amount raised by a booster club compared with the number
of raffle tickets sold
B. The weight of a kitten compared with its age in months
C. The number of goals scored in a soccer game compared with the
minutes played
D. The height of a paper airplane over time
Answers
The amount raised by a booster club compared with the number of raffle tickets sold shows a constant rate of change;
A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.
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PLEASE ANSWER THIS I NEED IT URGENTLY WILL GIVE BRAINIEST 3 TIMES OR MORE AND 100 POINTS AND MORE!! PLSSS
Answers
Answer:
Step-by-step explanation:
8).
Given,
For no. Of shirts = 10, price per shirt = $9
For no. Of shirts = 25, price per shirt = $8.40
.
Linear equation be,
y = mx + b
x 10 25
y 9 8.4
9 = 10m + b (i)
8.4 = 25m + b (ii)
Now,
(i) 9 = 10 m + b b = 9 - 10m
(ii) 8.4 = 25m + b 8.4 = 25m + 9 - 10m
8.4 - 9 = 15m m = -0.6/15 = -0.04
m = - 0.04
b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4
b = 9.4
The linear equation,
y = mx + b
y = -0.04x + 9.4
want this q's answers according to the absolute value
Answers
Answer:
24; 0
Step-by-step explanation:
Absolute value means number of the value away from zero, either positive or negative. So the absolute value of -24 (for example) is 24 because it is 24 integers away from zero.
What is the simplified form of this expression 4(2x-5y)-3x
Answers
Answer:
5x - 20y
Step-by-step explanation:
4(2x - 5y) - 3x ← multiply each term in the parenthesis by 4
= 8x - 20y - 3x ← collect like terms
= 8x - 3x - 20y
= 5x - 20y
Answer:
5x - 20y
Step-by-step explanation:
Hello!
Distribute the terms outside of the parenthesis to the terms inside.
Simplify4(2x - 5y) - 3x4(2x) +4(-5y) - 3x8x - 20y - 3x5x - 20yThe simplified expression is 5x - 20y.
Question 1-6
Mrs. Herrera is buying one piece of candy for each of the students who have 100% attendance. The number of students in Mrs. Herrera's mach classes that have perfect attendance is
2 Square root of 196 -1. The candy costs $0.79 each, plus 7% tax. How much money does it cost for Mrs. Herrera to purchase candy for her.
$19.75
$19.82
$20.45
$21.13
Answers
The total money that will be cost for Mrs. Herrera to purchase candy for her is $10.9889
Given, Number of students that 100% attendance in the class is √196 -1 that is equal to
14-1 = 13.
So, number of students is 13.
Cost of one candy = $0.79+7%(tax)
Cost of one candy = $0.79 + (7% of 0.79)
Cost of one candy = $ 0.79 + 0.0553
Cost of one candy = $0.8453
So , total cost that Mrs. Herrera to purchase candy will be
Total cost = Number of student X Cost of one candy
Total cost = 13 X $0.8453
Total cost = $ 10.9889
Hence, The total cost for Mrs. Herrera to purchase candy for her is $10.9889
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darren drives to school in rush hour traffic and averages . he returns home in mid-afternoon when there is less traffic and averages . what is the distance between his home and school if the total traveling time is ?
Answers
1 hour & 45 minutes is the distance between his home and school.
What is distance short answer?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.d=rt
distance = rate of speed times time
d= 33X = 44(7/4-X)
33X = 77- 44X
77X = 77
X = 1 hour
33X = 33 miles
44(7/4 - 4/4) = 33 miles each way
1 hour & 45 minutes = 1 3/4 hours or 7/4 hours
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in the figure below.
L
(a) Name a diameter:
(b) Name a radius:
[
(c) Name a chord:
(d) If the length of GK is 6 units,
what is the length of JL?
X
units
Answers
Diameter = GK
Radius= JL
Chord= HI
JL=3
A circle is a fundamental 2D form whose radius is quantified. The interior and exterior parts of the aircraft are separated by the circles. It is similar to the type of line segment. Consider the line segment being bent till the ends meet. Make sure the loop is perfectly circular by arranging it.
A two-dimensional figure with an area and perimeter is a circle. The distance around a circle, or its circumference, is also known as its perimeter. The area of a circle is the area that it surrounds on a 2D plane.
radius = diameter /2
Diameter = GK
Radius= JL
Chord= HI
Since radius is half of diameter,
So, JL =GK/2 =6/2
= 3
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Solve the given initial-value problem. the de is a bernoulli equation. y1/2 dy dx y3/2 = 1, y(0) = 9
Answers
A differential equation with some initial conditions is used to solve an initial value problem.
The required particular solution is given by the relation:
[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]
What is meant by an initial-value problem?An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.
Let the given equation be [tex]$y^{1/2} dy\ dx y^{3/2} = 1[/tex], y(0) = 9
[tex]$(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1[/tex] …..(1)
Divide the given equation (1) by [tex]$\sqrt{ y} $[/tex] giving
[tex]$y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$[/tex], which is in Bernoulli's form.
Put [tex]$u=y^{(1+1 / 2)}=y^{(3 / 2)}$[/tex]
Then [tex]$(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$[/tex].
Multiply (2) by [tex]$\sqrt{ } y$[/tex] and we get
[tex]y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1[/tex]
(2/3) [tex]u^{\prime}+u=1$[/tex] or [tex]$u^{\prime}+(3 / 2) y=3 / 2$[/tex],
which is a first order linear equation with an integrating factor
exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is
[tex]u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$[/tex] or
[tex]\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}[/tex]
To obtain the particular solution satisfying y(0) = 4,
put x = 0, y = 4, then
8 = (9/4) + c
c = (23/4)
Hence, the required particular solution is given by the relation:
[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]
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someone pls explain what is adding and subtracting whole numbers
Answers
Numbers without fractions are referred to as "whole numbers," and they are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12,..
A mathematical procedure called addition symbolizes adding objects t to a larger collection. The plus sign ( + ) is used to denote it.
Some examples of the addition of whole numbers is:
1 + 8 = 9
10 + 19 = 29
A mathematical operation known as subtraction symbolizes the process of determining the difference between two numbers or units. The negative sign is used to denote it ( - ).
An example of subtraction of whole numbers is:
10 - 2 = 8
40 - 25 = 15
Learn more about whole numbers is:
https://brainly.com/question/461046
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