Answers
Answer:
x = 27
Step-by-step explanation:
All angles in a triangle add up to 180 degrees
180 = (3x - 17) + (x + 40) + (2x - 5)
Combine like terms.
180 = 6x + 18
Subtract 18 from both sides.
162 = 6x
Divide both sides by 6.
x = 27
Related Questions
2 ( x + a ) = 4b explain how i solve this not the answer how to sovle it please
Answers
Answer:
x = 2b - a
Step-by-step explanation:
2(x + a) = 4b
2x + 2a = 4b
x + a = 2b
x = 2b - a
I think this question is incomplete
The slope for a wheelchair ramp for a home has to be 1/2. if the vertical distance from the ground to the door bottom is 3 ft, find the distance the ramp has to extend from the home in order to comply with the needed slope. write your work in the answer box.
Answers
Answer:
6 ft
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] ( rise is vertical height and run is horizontal distance )
here vertical height = 3 and slope = [tex]\frac{1}{2}[/tex] , then
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{run}[/tex] ( cross- multiply )
run = 2 × 3 = 6 ft
Can someone help me find the perimeter of the figure in feet.
Answers
32 + 13.6 + 16 + 9.7 + 6.3 + 9.7 + 9.7 + 13.6 = 110.6
Givien f (x) = -4x-2 , find f (1).
Answers
Answer: -6
Step-by-step explanation:
-4(1)-2=-6
Answer:
f(1) = -6
Step-by-step explanation:
Hello!
Substitute 1 for x in the equation.
Evaluatef(x) = -4x - 2f(1) = -4(1) -2f(1) = -4 - 2f(1) = -6f(1) is -6.
Are 12,16,20 pythagorean triplets. Explain why.
Answers
Answer:
The numbers that make up today's date—12, 16, and 20—form a Pythagorean triple. That is, 12² + 16² = 20².
Step-by-step explanation:
Answer:Yes, these are pythagorean triplets because they are multiples of 4. 4 times 3 is twelve.4 times 4 is 4.And 4 times 5 is 20.
x - 4b
this is about algebra I had a doubt please answer this as well as the question above
Do variables have values? Like would they have a value of 1?
Answers
Answer: YES
Step-by-step explanation:
Variable have values it can be constant or changing.
for example if it is assigned a constant value 5 then it is a constant
if it has a function that varies from one value to another then it too has value but it frequently changes.
Just treat variable as a container containing some water in it sometimes we know about its quantity and sometimes it is unknown.
They may or may not have a value of 1 depending on what values you are assigning to them
hope it was of help
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solve the equation tanx+secx=2 given that x is greater than or equal to 0 and less than or equal to 2pie
Answers
X = 0.6444
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.
There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.
The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.
tan x +sec x =2
⇒sin x /cosx + 1/ cos x = 2
⇒1+sin x / cos x =2
⇒ (sin² x/2 +cos ² x/2 +2 sin x/2 cos x/2 )/( cos ² x/2 - sin²x/2 ) = 2
⇒(cos x/2 +sin x/2)² / ( cos ² x/2 - sin²x/2 ) = 2
⇒( cos x/2+sin x/2)² / (cos x/2 + sin x/2)(cos x/2-sinx/2) = 2
⇒(cos x/2 +sin x/2)/ (cos x/2-sin x/2) = 2
Dividing by cos x/2 in both numerator and denominator,
⇒(1+tan x/2)/(1-tan x/2) =2
⇒ 1 + tan x/2 = 2 - 2tanx/2
⇒ tan x/2 = 1/3
⇒ x= 0.6444
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Does each box at the fruit stand contain a different fruit? set all_different to true if each box contains a different fruit or to false if multiple boxes contain the same fruit.
Answers
No, multiple boxes contain the same fruit.
3 boxes contains the same fruit : strawberry
all different = False
From the given table,
box ID | fruit name | count
53686 | kiwi | 45
57181 | strawberry | 123
25274 | apple | 20
48800 | orange | 35
26187 | strawberry | 255
57930 | grape | 517
52357 | strawberry | 102
43566 | peach | 40
=> You can see that, each box have a unique box ID, and a fruit name for each box.
=> These 57181, 26187, 52357 boxes contains strawberry.
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round 184329 to the nearest 100
Answers
Answer:
184300
Step-by-step explanation:
When rounding to the nearest anything, you look at the place 1 unit smaller. Here, we'd look at the tens place.
184329
Anything 5 or greater increases the value of the place 1 unit bigger. Here, we have a 2 in the tens place. That doesn't increase the 3 in the hundreds place, so we round down to 184300.
Sara and her mom are planning to attend the symphony. An adult ticket is $54. The price of an adult ticket is 1/4 the price of a student ticket plus $25. Write an equation to determine how much Sara will pay for a student ticket.
Answers
The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara's spend for a student ticket will be $116.
What is the solution to the equation?The allocation of values to the parameters that produce the calculation's balance is known as an outcome.
Sara and her mom are planning to attend the symphony. An adult ticket is $54. A ticket for 1/4 an adult costs $25 more than it would be for a student.
Let x be the amount of pay for student's tickets. Then the equation will be
54 = x / 4 + 25
Simplify the equation, then we have
x / 4 = 54 - 25
x / 4 = 29
x = $116
The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara pays for a student ticket will be $116.
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-5/9 - (-7/27)
Can someone help
Answers
Answer:
[tex]\frac{-8}{27}[/tex]
Step-by-step explanation:
[tex]\frac{-5}{9}[/tex] - [tex]\frac{-7}{27}[/tex] Subtracting a negative is the same as adding a positive. So I would change the form to addition.
[tex]\frac{-5}{9}[/tex] + [tex]\frac{7}{27}[/tex] Now to add, we need a common denominator. Let's us 27
[tex]\frac{-5}{9}[/tex] = [tex]\frac{-15}{27}[/tex] We multiple the numerator and denominator (top and bottom) by 3 to make an equivalent fraction.
[tex]\frac{-15}{27}[/tex] + [tex]\frac{7}{27}[/tex] the bottom number stays the same and we add the top numbers
-15 + 7 = -8
[tex]\frac{-8}{27}[/tex]
Answer: -8/27
Step-by-step explanation:
[tex]\displaystyle\\-\frac{5}{9} -(-\frac{7}{27} )=\\\\-\frac{5*3}{9*3} +\frac{7}{27} =\\\\\frac{-15}{27}+\frac{7}{27}=\\\\ \frac{-15+7}{27}=\\\\ \frac{-8}{27} =\\\\-\frac{8}{27}[/tex]
a sum of scalar multiples of two vectors (such as ab, where a and b are scalars) is called a linear combination of the vectors. let u, and v,. express , as a linear combination of u and v
Answers
The linear combination of u and v = <3,-27>=5U+4V.
What does linear combination in vectors mean?A linear combination of two or more vectors is the vector formed by multiplying two or more vectors (with distinct directions) by scalar values. The above equation demonstrates that the vector is produced by adding two vectors to three vectors.
What is the term "linear combination"?The term "linear" has two independent meanings: geometric and algebraic. Because linear combinations essentially linear in the both senses, the expression is accurate.
According to the given information:Let u= <3,3> and v= <-3,3>
<3,-27> = x< 3,3> + y<-3,3> = <3x - 3y, 3x + 3y>
3x - 3y = 3 => x - y = 1
3x + 3y = -27 => x + y = -9
Adding both, we get
2x = -8 => x = -4
y = -5
So <3,-27> = -4< 3, 3 > + (-5) < -3 , 3 >
The linear combination of u and v = <3,-27>=5U+4V.
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I understand that the question you are looking for is:
A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a linear combination of the vectors.
Let u= <3,3> and v= <-3,3>. Express <3,-27> as a linear combination of u and v.
the image i attached is the question
Answers
Answer:
D
Step-by-step explanation:
Solve for X:
3x-8≥7
3x≥15
x≥5
Any value of x is greater than or equal to 5
This is represented by answer D
Solve for u.
4u = 88
Simplify your answer as much as possible.
U=
X
3
Answers
Answer: u=22
Step-by-step explanation:
4u = 88
Divide by 4 on both sides
4u/4 = 88/4
Cancel out 4u
u = 22
the ice cream shop has 10 flavor of ice cream, how many different two-scoop ice cream cones can you make?
Answers
90 different two-scoop ice cream cones we can make.
What do we mean by permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected, generally without substitute, to form subsets. When the order of selection is a factor, this selection of subsets is called a permutation; when order is not a factor, it is called a combination.To find how many different two-scoop ice cream cones can you make:
We're picking two flavors out of ten, so we'll use [tex]\left(\begin{array}{c}10 \\2\end{array}\right)=45[/tex] different two-scoop cones.This time, there are more cones that were previously excluded, and we use permutation:[tex]\frac{10 !}{8 !}=90[/tex]Therefore, 90 different two-scoop ice cream cones we can make.
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56) The length of a rectangle is 1 inch more than 4 times its width. The area of the rectangle is 3 square
inches. What is the perimeter of the rectangle?
Answers
Perimeter of rectangle is 9.5 inches
If the length of the rectangle is l and its width is w,
l = 4w + 1, and
lw = (4w+1)×w = 3.
This yields 4w² + 1w -3= 0, which can be solved in the normal way for quadratic equations.
Solving the equation we get as
w=0.75 or w=-1
as it an not be negative value hence w=0.75
l=4
Perimeter of rectangle is 2*(l+w)= 9.5 inches.
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Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds digit is zero.
What is Ali's number?
Answers
Answer:
1021
Step-by-step explanation:
1+1=2 and it needs to add up to 4 so you add in another 2 in the only place left for it to go which is in the tens place because the first and last number have to be the same and 0 has to go in the hundreds place.
two students are running on a circular path. it takes the first student 25 minutes to complete one lap, and it takes the second student 30 minutes to complete one lap. if they both start at the same time and run in the same direction, when will they meet each other at the starting point? 175 minutes 150 minutes 25 minutes 5 minutes
Answers
150 Minutes
We need to find the Lcm of 25 and 30
Student 1 and Student 12 start from the same point, at same time and in same direction. So they meet again after lcm of the times taken by them individually.
What is LCM?
Least common multiple
To get the LCM we have to factorize the numbers,
25=5*5
30=2*5*3
LCM of 25 and 30 is 5*2*3*5 is 150
Therefore in 15 minutes they meet each other at the starting point
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Answer: 175
Step-by-step explanation:
The school finance committee has determined that a $28,000 facilities upgrade will be needed in 12 years. an alumnus has donated $20,000. if invested, will it grow to be enough?
Answers
Answer:
Step-by-step explanation:
QWEQEQWEQEQEQEQ
Find, in gradient-intercept form, the equation of a line which has:
a gradient of -4/5 and which passes through (4,-2)
Answers
The gradient is -4/5, so the equation is of the form
[tex]y=-\frac{4}{5}x+c[/tex]
Substituting in the coordinates (4, -2),
[tex]-2=-\frac{4}{5}(4)+c \\ \\ c=\frac{6}{5} \\ \\ \therefore y=-\frac{4}{5}x+\frac{6}{5}[/tex]
Simplify.
[tex](4x^{2})^{3}(3x^{6})^{4}[/tex]
Answers
This is the answer
If the price of an apple is $0.50, the marginal utility per dollar spent on the fifth apple is: ________
a) 20
b) 30
c) 40
Answers
The marginal utility per dollar spent on the fifth apple is 60. The correct option is D.
What is marginal utility?The marginal utility simply refers to the change or extra satisfaction derived from the change in consumption.
Hence, the marginal utility of the fifth apple equals :
Difference /change or extra satisfaction derived by consuming one more than 4 apples = (total utility of 5th apple - total utility of 4th apple)
= (250 - 220) = 30
Hence, marginal utility per dollar: Marginal utility/price per apple
Price per apple = $0.5
Marginal utility of 5th apple = 30
Marginal utility of 5th apple = 30 / 0.5
Marginal utility of 5th apple = 60
Therefore, the marginal utility per dollar spent on the fifth apple is 60. The correct option is D.
Complete question :
If the price of an apple is $0.50, the marginal utility per dollar spent for the fifth apple is:
a) 20
b) 30
c) 40
d) 60
Number of apples ____total utility
2__________________130
3__________________180
4__________________220
5__________________250
6__________________270
7__________________280
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What is the value of the expression below when x = 3 and y = 2? 6x - y
Answers
Answer:
The value of the expression of x 3 and y 5. Substitute each x and y with these numbers in equation and which would you get a value? So 4x+6y
4(3)+6(5)=
12+30=42
B. 42 ♥️
Step-by-step explanation:
Nine added to twice a number, x, is -5
what is the equation?
what is the solution?
Answers
Answer: -7
Step-by-step explanation: -7 times 2= -14, -14 +9= -5
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
Answers
Answer:
-1
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (-1 - 4)/(2 - (-3)) = -5/(2 + 3) = -5/5 = -1
Write an algebraic expression
to represent each verbal expression.
the sum of six times a number and 25
Answers
Answer:
6x+25
Step-by-step explanation:
6 times a number. Let x represent that number.
6x
It also says the to add 25 to the expression.
Add 25 to 6x.
6x+25
Hope this helps!
Please mark as brainliest if correct!
. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z
Enter your answer in the box. 42 BRAINLESS
Answers
Answer:
4
Step-by-step explanation:
replace x , y and z with the values given for them
12x - 3y + 4x - z
12(3) - 3(13) + (4)(3) - 5
36 - 39 + 12 - 5 = 4
Answer:it is 5
Step-by-step explanation:
i got it on the k12 test
A city has a population of 2,549,786 people. Estimate this population to the nearest million. Express your answer as the product of a single digit and a power of 10.
Rounded to the nearest million,the population is about ____
Written as the product of a single digit and a power of 10, this number is ___x 10^_
Please answer this ^-^
Answers
Answer:2,549,786 rounded to the nearest million is 3,000,000
Pls give me brainliest if I am rigth
Step-by-step explanation:3,000,000 written as a power of ten is
find the indicated length.
Point R bisects segment ST. Find RT if ST = 16.9 meters.
RT=
Answers
The value of the indicated length RT is 8.45 meters
How to find the indicated length?The given parameters are
Point R bisects segment ST. ST = 16.9 meters.The above means that
RT = 1/2 * ST
So, we have
RT = 1/2 * 16.9
Evaluate the products
RT = 8.45
Hence, the value of the indicated length RT is 8.45 meters
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Solve the quadratic equation by completing the square.
2
x² - 10x+10=0
Answers
Answer: x=5+[tex]\sqrt{15}[/tex]
Step-by-step explanation:
x² - 10x+10=0
x² - 5x - 5x+10=0
x² - 5x - 5x+25-15=0
(x-5)^2 -15=0
(x-5)^2=15
x-5=[tex]\sqrt{15}[/tex]
x=5+[tex]\sqrt{15}[/tex]