Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expression using no more than one set of parentheses.


4(3x+5y+2z)+3(x−z) ​​



• Tom wrote 12x+20y+8z



• Jenna wrote 5(3x+4y+z)



• Chris wrote 15x+20y−5z



Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?



​Answer ​_______ wrote an equivalent expression.

​Show your work to prove which expressions, if any, are equivalent.

Answers

Answer 1
Chris wrote an equivalent expression.

12x+20y+8z+3x-3z
15x+20y-5z

Related Questions

Evaluate y=(1/5)x
when x=- 3

Answers

Answer:

125y

hope this helps

Answer:

Y = 125

Step-by-step explanation:

The price of a cup of coffee was $2.85 yesterday. Today, the price fell to $2.50. Find the percentage decrease, Round your answer to the nearest tenth of a
percent

Answers

5.9%


Let's see what percentage of 2.55 is 2.40
or $2.40 = x% of $2.55

2.40 = (x/100)(2.55)
x = 2.40(100)/2.55
x = 240/2.55
x = 94.1%

$2.40 is 94.1% of $2.55

The decrease is from 100% to 94.1%

100-94.1 = 5.9% decrease in price

18. Convert 395 to a mixed number
written in lowest terms.
A. 4577
B.5 41
C.745
O D. 75/

Answers

Answer:

U can’t convert a single number to a mixed number

Step-by-step explanation:

a new school has a teacher to student ratio is 2:15. the school has 42 teachers. how many students are there in the school?

Answers

Answer:

315

Step-by-step explanation:

42÷2 = 21

2×21 = 42

So, 15×21 = 315

315÷21 = 15

Answer:

315

Step-by-step explanation:

42÷2 = 21

2×21 = 42

So, 15×21 = 315

315÷21 = 15

If we draw a ball from an urn containing 10 numbered balls, with seven red balls that are numbered 1, 2, 3, 4, 5, 6, 7 and three that are green and are numbered 8, 9, 10, what is the probability of drawing a ball that is red and even?
a. 2/5
b. 3/10
c. 1/2
d. 4/7

Answers

Answer:

b

Step-by-step explanation:

Which is the graph of x^2/9-y^2/4=1

Answers

Answer: A (top left box)

Step-by-step explanation:

Identify the solutions to the quadratic equation

x2 + 4x-21 = 0
Check all that apply
O A. x= 3
B. X= -7
O C. x = 21
O D. x= -5
O E. x= 4

Answers

Answer:

Step-by-step explanation:

Solving quadratics is easy. With no coefficient to the x^2, we can go right to finding factors. We want two numbers that multiply to -21, and add to 4. Our numbers are 7, and -3. Now, we move the numbers around to be (x-3) and (x+7). We know that these both equal 0, so we can do basic algebra to solve for x. We can subtract 7 to the other side to just get x, and add 3 over because it is subtracted by x. This leaves us with our answers:

x = -7, x = 3

Can someone answer 32 points

Answers

Answer:

a=  3/4

Step-by-step explanation:

2/3 x 3/4- 1/6 = 1/3

When 240 sixth-grade students were polled, results showed that 96 students were dissatisfied with the music played at the school dance. What percentage of the sixth-grade students does this represent? Use at least 2 strategies.

Answers

Answer:

40%

Step-by-step explanation:

one strategie is doing proportions

96/240= ?/100

simplify 96/240= 2/5

so 2/5=?/100

multiply 100 by 2

then divide it by 5

another strategie is putting it into a decimal and percent

96/240= 2/5

in decimal is 0.40

move the decimal twice to the right and you get 40%

39 less than the product of a number and 13 is 39

Answers

Answer:

13n - 39 = 39

Step-by-step explanation:

Let the number be n.  Then we have 13n - 39 = 39

pls help will mark as brainliest

Answers

The answer is y=1/4^x

If you plug in the x values, such as 2, into the equation you should get the y value. For example 1/4^2 is 1/16 which matches the table

Answer:

C or [tex]y=\frac{1}{4}^{x}[/tex]

Step-by-step explanation:

when x is 0 y is 1 and every positive number to the zeroth power is 1

so It can be A or C

but the value of y goes down when x goes up so its exponential decay or less than 1 so 1/4<1 So

C or [tex]y=\frac{1}{4}^{x}[/tex]

Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
x-3y = -19
2x+y=-3
A. (-2, 1)
B. (-4,5)
C. (4, -11)
D. (-1,1)
SUBMIT

Answers

Answer:

x=-4,y=5

Step-by-step explanation:

Answer:

B (-4,5)

Step-by-step explanation:

x-3y=-19

2x+y=-3

this is how I'll start it off, I'll multiple the bottom equation by 3 to have the y-value become the reciprocal (opposite) of the top equation.

now it's:

x-3y=-19

6x+3y=-9

now add/subtract

7x=-28

divide 7 from both sides

x=-4

now plug -4 into the equations to get y

-4-3y=-19

add 4 to both sides to get rid of -4

-3y=-15

divide -3 on both sides

y=5

now to double check, do the other equation

2(-4)+y=-3

-8+y=-3

add 8 to both sides to get rid of -8

y=5

now to check the answer, plug in x=-4 and y=5 into the equations

-4-3(5)=-19

-4-15=-19

2(-4)+5=-3

-8+5=-3

If 3n – 2 = 10, then n = _______.

Answers

Answer:

n = 4

Step-by-step explanation:

[tex]3n-2=10\\3n=10+2\\3n=12\\n=12/3\\n=4[/tex]

I hope I helped you! Please mark me brainiest if I am correct. Thanks!

Answer:

n=4

Step-by-step explanation:

Identify the terms and the like terms in this expression.

7 + a – 2 + 3a + b^2

Which statements are true? Check all that apply.
a. The expression contains seven terms.
b. The terms in the expression are 7, a, 2, 3a, b2.
c. Constants are like terms.
d. 2 and b2 are like terms because they both contain the number 2.
e.a and 3a are like terms.
f. a, 3a, and b2 contain variables, so they are like terms.

Answers

Answer:

B, C, E

Step-by-step explanation:

I took the test and I got it right

Answer: B C E

Step-by-step explanation: Edge 2020-WAiT! It’s not 2020 any MORE! Anyways edge 2021

Rhoda completed the right column of the table to help her find the sum of One-half and One-third.In which step did her first error occur? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

her error was in the second step

Step-by-step explanation:

her fraction was 1/2 but the way the bar was split is wrong it was supposed to have only two sides with 1 shaded in but has 6 with 3 shaded in

Using the data set provided below, order the values from greatest to least.


41, 45, 45, 47, 50, 53, 54, 55
Select one:
A. Mean > Median > Mode
B. Median > Mode > Mean
C. Mode > Mean > Median
D. Mean > Mode > Median
E. Median > Mean > Mode

Answers

The answer will be E

Which equation in rectangular form describes the parametric equations x=5-3cost and y=4+2sint?
A. (x+5)^2/9+(y+4)^2/4=1
B. (y+4)^2/2-(x+5)^2/3=1
C. (y-4)^2/2-(x-5)^2/3=1
D. (x-5)^2/9+(y-4)^2/4=1

Answers

Answer:

D. (-x+5)^2/9+(y-4)^2/4=1    (I assume there was a mistype)

Step-by-step explanation:

The first step is isolating the sine and cosine functions.

x=5-3cos(t)

x + 3cos(t) = 5

3cos(t) = 5 - x

cos(t) = (5 - x)/3

y=4+2sin(t)

y - 4 = 2sin(t)

(y - 4)/2 = sin(t)

Then, square at both sides of the equal sign

cos²(t) = (5 - x)²/3² = (5 - x)²/9

sin²(t) = (y - 4)²/2² = (y - 4)²/4

Recall the trigonometric identity and replace.

cos²(t) + sin²(t) = 1

(5 - x)²/9 + (y - 4)²/4 = 1

Can anyone help? I will mark you as brainliest!

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

First calculate the area of the field using this equation:

area = (a+b)/2 x h

Substitute the values in:

area = (210 + 190)/2 x 250

area = 50000 m^2

Calculate how many hectares this is:

50000/10000 = 5

This is 5 hectares

Multiply this by the number of kg per hectare

5 x 7200 = 36000

It would produce 36000 kg

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

which of the following is equal to the square root of -5

Answers

Answer:

√5 i

Step-by-step explanation:

√-5

√5*√-1

√-1=i

√5*i

√5 i

NEED HELP!!!!! Evaluate 3x - y + z, when x = 2, y = -4, and z = 10

Answers

Answer:

20

Step-by-step explanation:

3x-y+z; x=2, y=-4, z=10

3x-y+z

3*2-(-4)+10

6+4+10

10+10

20

Step-by-step explanation:

Step 1:  Find the solution

[tex]3x - y + z[/tex]

[tex]3(2) - (-4) + (10)[/tex]

[tex]6 + 4 + 10[/tex]

[tex]20[/tex]

Answer:  [tex]20[/tex]

Which of the following is equivalent to 7-2( x + 2) <-4 - 3(1 – x)?
(A) -5 x < -10
(B) - X<-16
(C) -2x <-17
(D) 6x<-9

Answers

The answer is (A) you because the equation is equal to X>2 and answer A is also equal to X>2

i dont get this at all

Answers

Answer: Not sure what you are asking; please edit your question so that I have the ability to assist you.

Step-by-step explanation: If the teacher did not  include much information, go ahead and email her and let her know. I am not sure what the work you are doing in class is but try to ask her if she could help and if you need anything else, let me know!

Stay safe. Stay warm.

<3

-Carrie

Please HELP WILL MARK BRAINLIEST 25 POINTS!!!!

The rectangle shown is dilated by a scale factor of 15.
What is the length of side A'B' and side B'D'?

Answers

Answer:

AC=8 and CD=15

Step-by-step explanation:

Answer:

8 AND 15 :)

Step-by-step explanation:

Please I need help with my geometry math assignment with 13C and is Almost soon to due and I been struggling and needing help on it I try my best and don’t work out for me so I will mark your guys brainlist

Answers

Answer: y = 2x + 2

Step-by-step explanation:

To find the slope of a line perpendicular to another line, you take the slope of the other line and flip it (find the negative reciprocal) and make it negative.

In this case, -1/2 would become 2. 2 is now the slope of the line perpendicular to the other line.

Since the line passes through (1, 4), we can plug the point in - the line will be

y = 2x + 2.

Answer:

y=2x+2.

Step-by-step explanation:

Honestly the perpendicular flipping didn't make sense, but somehow google thought so, so ill leave it at this, if you need more help, just message me.

For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?

Answers

Answer:  k = 0 or k = 3

Explanation:

If you have repeated x values, then you wont have a function. For example, the points (1,5) and (1,6) mean we don't have a function since the input x = 1 leads to multiple outputs y = 5 and y = 6 simultaneously. For a function to be possible, we must have any input lead to exactly one output only.

What we do is set the x coordinates (k^2 and 3k) equal to each other and solve for k

k^2 = 3k

k^2-3k = 0

k(k-3) = 0 .... factoring

k = 0 or k-3 = 0 .... zero product property

k = 0 or k = 3

If k = 0, then (k^2,5) becomes (0,5). Also, (3k,6) becomes (0,6). The two points (0,5) and (0,6) mean the graph fails the vertical line test.

Similarly, if k = 3, then (k^2,5) becomes (9,5) and (3k,6) = (9,6). Another vertical line test failure happens here to show we don't have a function.

Which expression should you simplify to find the 90% confidence interval,
given a sample of 64 people with a sample proportion of 0.55?

Answers

Step-by-step explanation:

CI = p ± z √(pq/n)

For 90% confidence, z = 1.645.

CI = 0.55 ± 1.645√(0.55 × 0.45 / 64)

The expression  to find the 90% confidence interval is

[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]

What is confidence interval?

A confidence interval is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used.

CI             z

0.70        1.04

0.75 1.15

0.80 1.28

0.85 1.44

0.90        1.645

0.92 1.75

0.95 1.96

0.96 2.05

0.98 2.33

0.99 2.58

According to the question

Data of  people = 64

Data proportion (P) =  0.55

The 90% confidence interval

therefore, [tex]z_{c}[/tex] =  1.645

CI = P± [tex]z \sqrt{\frac{P ( 1-P}{N} }[/tex]

substituting the value

[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]

CI = 0.5563

Hence, expression  to find the 90% confidence interval is

[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]

To know more about confidence interval here:

https://brainly.com/question/24131141

#SPJ2

A recipe needs 4/5 cups of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?

Answers

Answer:

1 1/5 cups of butter

Step-by-step explanation:

4/5=2

      =3

 4/5 x 3=12/5

12/5 / 2

12/5 x 1/2=1 1/5

1 1/5 cups of butter

Geometry help please
Which set contains letters that all have rotational symmetry?


a.F, G, L, P

b.S, O, X, Z

c.A, M, T, O

d.H, I, J, X

Answers

Answer:

The answer is C- A, M, T, O

What do the variables in this problem stand for V=Bh
V=
B=
h=
Please help

Answers

B =Base
H= Height
V=Volume
v= volume

B= base

h= height

therefore: volume= base(height)

help me plzz!!!! thank you

Answers

Answer: The first one is  144 .   The second one is   C.

Step-by-step explanation:

Answer:

1) Full surface area = 156unit^2 this is correct.

lateral surface area = 144unit^2, this wasn't asked.

2) C = 528unit^2 is correct.

Lateral = 480unit^2 this wasnt asked.

Step-by-step explanation:

yes the next one is C 528

The formula for finding the surface area is the same for all right prisms and is: Surface area = 2B + hP. In this formula, B is the area of one of the bases, while h is the prism's height, and P is the perimeter of the base.

In effect;

step 1 = parallel sides indicate the bases of all triangular prism

step 2 = perimeter = 3+4+5 = 12

step 3 = LA = P x H = P x Length which is lateral height

              LA = 12 x 12 = 144

step 4 = SA = 1/2 b x h (height of triangle) +LA

             SA = 1/2 4 x 3      + LA

             SA = 2 x 3 = 6 = 1 base + LA   (+base)

             SA = 6+6 = 12 + 144  = 156 = 2b+LA

IF you remember LA is perimeter x length of prism but label L as H then use little h for triangle h. You can remember.

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