Answer:
3.) rule of thumb
Step-by-step explanation:
Multiply these fractions. Cancel and simplify if necessary
Answer: KCF
Step-by-step explanation: Using this method (just kinda changed?) first change the mixed numbers to improper fractions by multiplying the denominator with the whole number, and adding the numerator to that. Then add a /1 to the regular whole numbers (or the 2nd part of the question) simply multiply both to get the improper fraction. Change into a mixed number as you wish.
The length of a rectangle is 3 cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.
The length and width of the given rectangle is 16cm and 13cm.
What is a rectangle?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can also be defined as an equiangular quadrilateral because all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.Formula of perimeter of a rectangle: 2(l+b)
Let, width be 'x' then length will automatically be 'x+3'.
Now, put the values in the formula:
P = 2(l+b)58 = 2(x+3+x)58 = 2(2x + 3)58 = 4x + 64x = 58 - 64x = 52x = 52/4x = 13So, width is 13cm then length is (13+3) that is 16cm.
Therefore, the length and width of the given rectangle is 16cm and 13cm.
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The perimeter of the quadrilateral below is 119 units. Find the length of side AB.
Answer:
Step-by-step explanation:
The endpoints of AB are A(-8,-6) and B(-3,-1). Point C lies on Ab and is 3/5 of the way from A to B. What are the coordinates of point C?
Answer: C(-6.125,-4.125)
Step-by-step explanation:
[tex]\displaystyle\\A(-8,-6)\ \ \ \ B(-3,-1)\\Let\ \frac{3}{5}=\lambda \\Hence,\\\boxed {x_C=\frac{x_1+x_2\lambda}{1+\lambda} }\ \ \ \ \ \ \boxed {y_C=\frac{y_1+y_2\lambda}{1+\lambda} }\\\\x_1=-8\ \ \ \ x_2=-3\\\lambda=\frac{3}{5} \\\\\lambda=\frac{0.6*5}{5}\\\\\lambda=0.6\\\\x_C=\frac{-8+(-3)*0.6}{1+0.6} \\\\x_C=\frac{-8-1.8}{1.6} \\\\x_C=\frac{-9.8}{1.6} \\\\x_C=-\frac{9.8*10}{1.6*10} \\\\x_C=-\frac{98}{16} \\\\x_C=-6.125\\\\\\[/tex]
[tex]\displaystyle\\y_1=-6\ \ \ \ y_2=-1\ \ \ \ \lambda=0.6\\\\y_C=\frac{-6+(-1)*0.6}{1+0.6} \\\\y_C=\frac{-6-0.6}{1.6}\\\\y_C=\frac{-6.6}{1.6} \\\\y_C=-\frac{6.6*10}{1.6*10} \\\\y_C=-\frac{66}{16} \\\\y_C=-4.125[/tex]
[tex]Thus,\ C(-6.125,-4.125)[/tex]
Mrs gerry used the following square to teach her class about quarters. the squares is divided into four equal parts.the class disagreed with their teacher that each part represents a quarters.name the misconception of the class and correct the misconception
Consider a square and divide it into four equal parts. Each part of the square is called as a quarter.
A quarter of a square is one out of four of its equal parts . In a square there are four quarters or four fourths in a whole.
From the figure, the shaded portion represents one quarter of the square i.e., [tex]\frac{1}{4} th[/tex] of a square.
I need help, will somebody please help me and FAST! The question is in the picture
Answer:
I'm gonna solve it in words each day the snail climbs 3 feet but drops down to 2 feet ( 3-2 = 1) let the days it will take be equal to Xwe divide 10 feet by the feet reached a day, it will become:10/1 = X
Cross multiply
X = 10
so it would take 10 days for the snail to reach 10 feet Hope this helpsace that homeworkGood luck ✅A basketball team raised $200 to purchase new jerseys. there are 8 people on the team and jerseys cost $22 each. with the extra money, the team would like to purchase socks at $5 per pair.
write an inequality that describes the situation and solve it. what is the greatest number of pairs of socks the team can purchase? explain your answer.
The inequality that describe the situation is (22 x 8) + (5 x S) = 200 and with the money left over, the team will be able to buy 4 pairs of socks, and there will be $4 left over.
Inequality:
Inequality means relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
A basketball team raised $200 to purchase new jerseys.
There are 8 people on the team and jerseys cost $22 each.
With the extra money, the team would like to purchase socks at $5 per pair.
Here we need to find the inequality that describes the situation and solve it. And also we need to find the greatest number of pairs of socks the team can purchase.
Let S be the number of Socks they brought.
Based on the given details,
The following inequality must be raised:
=> (22 x 8) + (5 x S) = 200
When we solve it,
=> 176 + 5S = 200
=> 5S = 200 - 176
=> 5S = 24
=> S = 24 / 5
Here the S has the value of 4 and the remaining is 4.
Therefore,
with the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.
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Claire has $300 in an account. She decides she is going to take out half of what's left in
there at the end of each month.
Recursive:
Explicit:
The recursive function is Tn = 1/2T(n - 1) where T1 = 300
How to determine the recursive and the explicit functions?Recursive function
Here, we have
She decides she is going to take out half of what's left in there at the end of each month.
This means that
Tn = 1/2T(n - 1)
Hence, the recursive function is Tn = 1/2T(n - 1) where T1 = 300
Explicit function
Here, we have
Initial, T1 = 300
Rate, r = 1/2
The explicit function is represented as
Tn = T1 * r^(n-1)
So, we have
Tn = 300 * (1/2)^(n-1)
Hence, the explicit function is Tn = 300 * (1/2)^(n-1)
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Figure ABCD is a kite. What is the length of line segment AD? 8 units O 14 units 22 units 36 units
Length of line segment AD = 22 units .
Given : ABCD is a kite
AB and BC are congruent
AD and CD are congruent
AB = 14 units
CD = 22 units
To find : length of line segment AD
When 2 sides of a triangle are congruent , they are equal in measure ie. their magnitude is equal .
Since , AB and BC are congruent
⇒ AB = BC = 14 units
Similarly , CD = AD = 22 units
Therefore , length of line segment AD = 22 units .
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Answer: c on edge
Step-by-step explanation:
how do put this 7+2x=11+5x
Which graph represents the function h (x) = -√x+2?
Answer:
Step-by-step explanation:
See the attached file below it will help to understand this problem and it will improve your grade and score.
What is the ratio of protonated/deprotonated acetic acid at ph 1.8, 5.8, and 10.8?
The ratio of protonated/deprotonated acetic acid at the given pH is:
pH 1.8: 1000:1, pH 5.8: 1:10, pH 10.8: 1:1000000What is acetic acid?Acetic acid, also known as ethanoic acid, is a colorless liquid with a strong, vinegar-like odor. It is referred to as glacial acetic acid when it is pure (100% acetic acid). Acetic acid is a byproduct of fermentation that gives vinegar its distinctive aroma. Vinegar contains approximately 4-6% acetic acid in water. More concentrated solutions are available in laboratories, and glacial acetic acid is pure acetic acid containing only traces of water. Human Reactions: Acetic acid, in vapor form, is a severe irritant to the eyes, mucous membranes, upper respiratory tract, and skin. When acetic acid solutions of 80% or higher come into contact with the skin or eyes, they can be corrosive, causing severe burns to any exposed tissue.The protonated/deprotonated acetic acid pH 1.8, 5.8, and 10.8 ratios are 1000:1, 1:10, and 1:1000000, respectively.Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:
pH 1.8: 1000:1, pH 5.8: 1:10, pH 10.8: 1:1000000Know more about acetic acid here:
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Un ciclista tarda 3horas y 25 minutos en recorrer 150km ¿cuantos minutos tardará en recorrer 238km si lleva una velocidad constante?
Answer :
The time it will take to travel a distance of 225km is t = 9 h
What is MRU?
MRU are the acronyms that define the uniform rectilinear movement which is the movement that maintains a variation of the distance with respect to time always constant since the acceleration is null.
We will calculate the speed you have in cyclist with the initial data of traveling a distance of 125km in a time of 5 hours:
Speed = distance / time
Speed = 125km/5h
Speed = 25 km/h
We now determine a time for a 225km course
25 km/h = 225km/t
t = 225km / 25km/h
t = 9 h
cuál es el doble de 5.85
Answer:
11.7
Step-by-step explanation:
5.85 * 2 =11.7
5) If the sun is out, then it is daytime.
Converse:
Inverse:
Contrapositive:
the 3 statements are:
The converse statement is: If it is daytime, then the sun is out.
The inverse statement is: if the sun is not out, then is not daytime.
The contrapositive statement is: if it is not daytime, then the sun is not out.
How to find the converse, inverse, and contrapositive statements?
If we have two propositions P and Q, then we have a conditional statement:
If P then Q.
The converse statement is: if Q then P
The inverse statement is: if Not P, then Not Q.
The contrapositive statement is: if Not Q, then Not P.
The conditional statement is:
"If the sun is out, then it is daytime"
So we have:
P = the sun is out.
Q = it is daytime.
Then the 3 statements are:
The converse statement is: If it is daytime, then the sun is out.
The inverse statement is: if the sun is not out, then is not daytime.
The contrapositive statement is: if it is not daytime, then the sun is not out.
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What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
1/3
Step-by-step explanation:
Gradient or slope can be found using the point-slope formula:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
We can rearrange the equation to find slope (m) like so:
[tex]m=\frac{y-y_{1} }{x-x_{1} }[/tex]
To use this formula we need to find two well-defined points and use their coordinates.
Let's use (0,2) and (3,3) because they are clear points on the graph.
(0,2) will represent [tex]x[/tex] and [tex]y[/tex] in the equation respectively, and (3,3) our other point will represent [tex]x_{1}[/tex] and [tex]y_{1}[/tex].
Now we just need to plug the numbers into the equation:
[tex]m=\frac{2-3}{0-3} \\\\m=\frac{-1}{-3} \\m=\frac{1}{3}[/tex]
The gradient of the graph is 1/3.
Hope this helped!
1/5 raised to the power minus 1
Simplification form of 1/5 raised to the power minus 1 is 5.
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."
The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.
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Flying to Houston with a tailwind a plane averaged 107 mph. On the return trip the plane only averaged 85 mph while flying back into the same wind. Find the speed of the plane in still air and the speed of the wind
The wind speed and plane speed is 11 and 96 mph.
It is required to find the speed of the plane in still air and the speed of the wind.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let plane speed be "p".
Let wind speed be "w".
According to given question we have,
p + w = 107 mph
p - w = 85 mph
By the method of elimination we get,
2p = 192
p = 96 mph
The plane speed is 96 mph.
Solve for "w":
p + w = 107
96 + w = 107
w = 11 mph
The wind speed is 11 mph.
Therefore, the wind speed and plane speed is 11 and 96 mph.
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Solve each question for the variable.
7. p+12,982= 25,000 (1 point)
Op = 12,010
Op=12,018
Op = 12,028
Solve each question for the variable.
8. 912+e=1,201 (1 point)
Oe=389
Oe=299
Oe=289
Solve each question for the variable.
3. 918.2 + v= 1,920.8 (1 point)
Ov=1,000.6
Ov=1,002.6
Ov= 1,001.6
.chris p. bacon worked 44 hours last week and gets double time pay for overtime. his regular pay is $14 per hour. how much was his paycheck for the week?
The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week, regular pay $14 per hour and double time pay for overtime.
As given,
Regular pay per hour = $14
Overtime work payment= 2 × ($14)
Total hours work done last week = 44hours
Let regular timing be 8 hours per day 5 days a week
Total regular working hours = 8 × 5
= 40 hours
Over time = 44-40
= 4 hours
Payment check = (40 × 14)+ (4 × 28)
= $672
Therefore, The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week.
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1. Find the length of the indicated side.
Helpp i dont know what to do after finding the angle (39) pls explain
Using Trigonometric ratios, we can conclude the length of the indicated side is 12.70m.
It can be solved using Trigonometric ratios and Pythagoras theorem
Firstly using Trigonometric ratios
Using Sinθ,
Sinθ = perpendicular / hypotenuse(h)
Sin 39 = 8 / h
0.63 = 8 / h
h = 8 / 0.63
h = 12.70
∴ The length of indicated side is 12.70m
Secondly, using Pythagoras theorem,
(hypotenuse)² = (Altitude)² + (Base)²
⇒ (H)² = 8² + 10²
⇒ (H)² = 64 + 100
⇒ (H)² = 164
⇒ H = √164
⇒ H = 12.80
∴ The length of indicated side is 12.80m
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Un automóvil recorre 1122.4 km con 80 litros de gasolina ¿cuántos kilómetros recorre con 16 litros de gasolina?
The automobile covers 224.48 km.
This problem can be solved by using the unitary method.
In this method we calculate the value for a unit quantity and then multiply it with the desired number for which we want to calculate.
Here it is given that a automobile covers 1122.4 km with 80 liters.
For 1 liter of gasoline distance covered = [tex]\frac{1122.4}{80}[/tex]
= 14.03 km
So, for 16 liters of gasoline distance covered will be = 16× 14.03
= 224.48 km
Therefore the automobile covers 224.48 km for 16 liters of gasoline.
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Use the SOLVE Strategy to solve the problem below.
Wendy has taken two tests with scores of 77 and 80. To get an 82 average, what must her grade be on the third test?
Write and solve an equation to find her third test score. Show your work to explain how you determined her test score.
Rubric :
S - Underline the Question. ( 1 Point )
Answered Question, What is the Problem is asking me to find? ( 2 Points )
O- All Math facts are identified. ( 2 Points )
Unnecessary facts are eliminated. ( 2 Points)
All Necessary Facts are listed: ( 1 Point)
L- Use of correct operations . ( 2 Points )
Representation of the unknown. ( 2 Points)
Explained in a logical and sequential order. ( 2 Points)
V- Make estimation . ( 2 Points )
Number sentence matches plan for L. ( 2 Points)
Computation is correct . ( 2 Points )
E- Answer written in complete sentence. ( 1 Point )
Sentence Matches S. ( 1 Point )
Answer is correct . ( 1 Point )
Estimate was reasonable for the answer. ( 1 Point )
Answer: wendy should pick S
Step-by-step explanation:
If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5, how many divisions are possible?
The final answer is 24,024
In the given statement is :
If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5
To find the how many divisions are possible
Let us understand the:
What do you mean by Permutation?
A Permutation is an act of arranging the objects or number in order.
Formula of Permutation :
The formula for Permutations is : n P r = n! / (n - r)!
n p r = n! /(n-r)!
14 P 4 = 14 ! / (14-4)!
= 14 × 13 × 12 × 11 x 10! / 10!
= 14 × 13 × 12 × 11
= 24,024
Hence, The answer is 254,024
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1) 3 (x - y)² - 10 (x-y) + 8
Answer:
[tex](3x-3y-4)(x-y-2)[/tex]
Step-by-step explanation:
Given expression:
[tex]3(x-y)^2-10(x-y)+8[/tex]
Let u = (x - y):
[tex]\implies 3u^2-10u+8[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex] find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:
[tex]\implies ac=3 \cdot 8=24[/tex]
[tex]\implies b=-10[/tex]
Therefore, the numbers are: -6 and -4.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 3u^2-6u-4u+8[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 3u(u-2)-4(u-2)[/tex]
Factor out the common term (u - 2):
[tex]\implies (3u-4)(u-2)[/tex]
Substitute back in u = (x - y):
[tex]\implies (3(x-y)-4)((x-y)-2)[/tex]
Simplify:
[tex]\implies (3x-3y-4)(x-y-2)[/tex]
The formula for potential energy is p=mgh, where p is potential energy, m is mass , g is gravity and h is height . Which expression can be used to represent g
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
Step-by-step explanation:
what is (−2.1)⋅(−1.4)
(PLEASE HELP!) Annie wishes to build a set of five stairs according to the plan below.
(a) How high is each step?
(b) How wide is each step, correct to 2 decimal places?
Answer:
a)
sin30=high of steps/175
sin30=1/2
so
high of steps= 175/2
high of steps=87.5cm
b)
cos30=wide/175
cos30=3^1/2÷2
wide=175*3^1/2÷2
3^1/2=1.73
so
wide=175*1.73/2
wide=151.37
Nancy rode her bike for 15 4/5 miles on Saturday and Sunday she rode 0.7 fewer miles how many miles did she ride on Sunday HW
Parallelogram be is a scaled copy of parallelogram U what is the value of w ( please answer ASAP I'm in a rush)