1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kruka [31]
3 years ago
7

Use the expression below to answer the question. 20 + 8y – 9y – 21 Which expression is equivalent? A. 2(10 + 4y – 7y – 19) B. 2(

10 + 4y) – 3(3y – 7) C. 4(5 + 2y – 5y – 17) D. 4(5 + 2y) – 3(3y + 7)
Mathematics
1 answer:
Amanda [17]3 years ago
8 0

Option D: 4(5+2y)-3(3y+7) is the correct answer.

Explanation:

The expression is $20+8 y-9 y-21$

Solving the expression, we have,

-y-1

Now, we need to find an expression equivalent to $20+8 y-9 y-21$

Option A: 2(10+4y-7y-19)

Solving the expression, we have,

$\begin{aligned} 2(10+4 y-7 y-19) &=2(-9-3 y) \\ &=-18 y-6 y \end{aligned}$

From the result, the expression 2(10+4y-7y-19) is not equivalent to $20+8 y-9 y-21$

Option A is not the correct answer.

Option B: $2(10+4 y)-3(3 y-7)$

Solving the expression, we have,

$\begin{aligned} 2(10+4 y)-3(3 y-7) &=20+8 y-9 y+21 \\ &=-y+41 \end{aligned}$

From the result, the expression $2(10+4 y)-3(3 y-7)$ is not equivalent to $20+8 y-9 y-21$

Option B is not the correct answer.

Option C: 4(5+2y-5y-17)

Solving the expression, we have,

$\begin{aligned} 4(5+2 y-5 y-17) &=20+8 y-20 y-68 \\ &=-12 y-48 \end{aligned}$

From the result, the expression 4(5+2y-5y-17) is not equivalent to $20+8 y-9 y-21$

Option C is not the correct answer.

Option D: $4(5+2 y)-3(3 y+7)$

Solving the expression, we have,

$\begin{aligned} 4(5+2 y)-3(3 y+7) &=20+8 y-9 y-21 \\ &=-y-1 \end{aligned}$

From the result, the expression $4(5+2 y)-3(3 y+7)$ is equivalent to $20+8 y-9 y-21$

Option D is not the correct answer.

You might be interested in
HELP ME PLZ ASAPPPPPP
boyakko [2]

Answer:

(x,y) =(-4,-3) --- Vertex

x = -4 --- Axis of symmetry

Step-by-step explanation:

Given

y = -6(x + 4)^2 - 3

Solving (a): The vertex

For an equation written in

y = a(x - h)^2 + k

The vertex is:

(x,y) = (h,k)

By comparison:

y = a(x - h)^2 + k  and y = -6(x + 4)^2 - 3

-h =4       k = -3

h =-4         k = -3  

So, the vertex is:

(x,y) =(-4,-3)

Solving (b): The axis of symmetry

For an equation written in

y = a(x - h)^2 + k

The axis of symmetry is:

x = h

In (a):

h =-4

So:

x = -4

5 0
2 years ago
Brooks built two similar wooden chests in the shape of rectangular prisms. She used 16 pints of paint to cover the outside of th
Anika [276]
The choices for this question is found elsewhere and as follows:

<span>A. 16/9 B. 4/3 C. 32/9 D. 64/27
</span>
From the choices, i think the correct answer from the choices listed above is option B since from the situation you are reducing the ratio. Hope this answers the question.
7 0
3 years ago
Find x inscribed angles
mina [271]
The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:

93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x

Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y

Hope this helps!
5 0
3 years ago
Jasmine had a carrot cake with cream cheese frosting for her birthday .she and her friend each ate 1/4 of the cake and jasmine's
zloy xaker [14]
Hey there!

To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4. 

\frac{12}{12} - \frac{1}{4} - \frac{1}{4} - \frac{1}{3}
\frac{12}{12} - \frac{3}{12} - \frac{3}{12} - \frac{4}{12}
\frac{12}{12} - \frac{10}{12} = \frac{2}{12}

It can then be concluded that each parent ate \frac{1}{12} of the cake, since there was \frac{2}{12} remaining. 

You can check this answer by adding up all of the parts we used in this problem:

\frac{3}{12} + \frac{3}{12} + \frac{4}{12} +  \frac{1}{12} +  \frac{1}{12} = \frac{12}{12}

Hope this helped you out! :-)
3 0
3 years ago
If arc CE is 125°, what is the measure of angle CDE?
Delvig [45]

Check the picture below.

7 0
2 years ago
Other questions:
  • What is 2x566!!!!!!!!!!!
    14·2 answers
  • What is the answer to 45 − (−28) =
    9·2 answers
  • Mama had several notebooks. If she give 13 notebooks to each of her children, she will have 8 left. If she give 15 notebooks to
    12·2 answers
  • Prove this ~ cosx/1-tanx + sinx/1-cotx = cosx + sinx
    15·1 answer
  • Factor 36+12x+x^2<br><br> as the product of two binomials
    5·1 answer
  • Can I please get help​
    15·1 answer
  • Write the standard form of an equation with p=3sqrt2, theta=135.
    10·1 answer
  • A^2-36=5a <br><br> A. {4,-9}<br> B. {5+√61/2, 5-√61/2}<br> C. No solution <br> D. {9,-4}
    5·1 answer
  • Please help me with this.
    11·1 answer
  • In the pipe flange shown to the right, the ten bolt holes are equally spaced. What is the spacing of the holes, in degrees?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!