Noah writes the equation 3(x+7)=57 to represent the situation. Use the distributive property to write this equation another way.

Answers

Answer 1

Answer:

3x+21=57

Step-by-step explanation:

When we use distributive property we do

[tex]3*x[/tex] and [tex]3*7[/tex] which will like this when rewritten [tex]3x+21=57[/tex]

Check answer:

[tex]3x+21=57\\-21=-21\\3x=36[/tex]      [tex]\frac{3x}{3} =\frac{36}{3}[/tex]

x=12    3(12)+21=57

36+21=57


Related Questions

HELLPP PLEASE ASAP!!!!

Answers

y=47x is your answer

Buddy orders 50 burritos for a conference meeting.
Each burrito costs $5 how much will he spend?
A $316
B $134
C $250
D $562

Answers

We can say we know that 10 burritos cost $50. So then 50 burritos would be, $250, making C you’re answer.

what is 2+2x490+30 divided by 100

Answers

Answer:

982.3

Step-by-step explanation:

A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all of their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?

How much is the family spending all at the fair?

Answers

Answer:

$18.50

Step-by-step explanation:

because there are 6 people, to find out the total discount, we do:

2.50 x 6 = 15

This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is

96 + 15 = 111

Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:

$18.50

Hope this helps! If you have any further questions, let me know!

- profparis

in a promotion at a local diner ever twelfth customer will get a free hamburger and every ninth customer will get a free milkshake which customer will be first to get a free sandwich and a free drink

Answers

The 36th customer

The common denominator between 9 and 12 would be 36

9 th customer -> 18th customer -> 27th customer - > 36 th

12th -> 24th -> 36th

If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact measure of θ?

Answers

The exact measure of the angle is 45°.

How to get the angle?

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

[tex]1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y[/tex]

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

Zero and Negative Exponents 4-30=_

Answers

Answer:

-26

Step-by-step explanation:

4-30=-26

help pls!!!
free brainleist

Answers

Answer:

28

Step-by-step explanation:

subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28

Answer:

ah P00

Step-by-step explanation:

Determine the solution, if any, to the system of equations below
8x - 2y = 1
-4x + y=3
Show your work.

Answers

Answer:

This question cant be determine

Step-by-step explanation:

there's no input

What is the measure of each angle in the circle?
36°
40°
45°
60°

Answers

Answer:

45 degrees

Step-by-step explanation:

360 degrees is a whole circle, and there are 8 slots

360 / 8 = 45

Vanessa wants to play a video game that charges .12 a minute. If ahe has 15.00 to spend how many minutes can she play at most

Answers

Answer:

125

Step-by-step explanation:

15/12 you get 125. Then multiple it by 100 and you get 125.

A machine fills boxed at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxed and the number of boxes it has filled?

Answers

Answer:

35 divided by 5 = 7

Step-by-step explanation:

Pietro is measuring the thickness of his favorite books. He rounds his measurements to the nearest \dfrac{1}{8} 8 1 ​ start fraction, 1, divided by, 8, end fraction inch and records the information on the line plot below. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. What is the total thickness of the two thickest books? \text{ inches} inches

Answers

Answer:

3 6/8

Step-by-step explanation:

im probably giving answers to 9 year olds rn LOL and anyways theres a number line there so you can see the heaviest which is 2 and 1 6/8 so then just add them like this 2+1=3+6/8=3 6/8 hope i helped like a 9 year old LOL

Solve the equation 7(x + 4) = -21.

x =

Answers

Answer:

-7

Step-by-step explanation:

7(x+4)=-21

x+4=-21/7

x+4=-3

x=-3-4

x=-7

PLEASE HELP ASAP! Find the volume of the prism.

Answers

You have to look for the formula

Answer:

5 * sqrt(3)

Step-by-step explanation:

First, find the area of the triangle. Do this by determining the height of the triangle. The main triangle is really two right triangles, so do half of it at a time. This causes the base to become one.

According to the Pythagorean Theorem, the height is the square root of 3.

The area of one half of the triangle is sqrt(3)/2, but you need to double that to find the whole triangle's area, so the whole area is sqrt(3).

Now just multiply by 5.

The answer is 5 * sqrt(3), the one you have selected in the image.

WILL MARK BRAINLIEST PLS HELP!! Given the functions f(x) = x ^ 3 + x ^ 2 - 2x + 3 and g(x) = log (x) + 2 what type of functions are f(x) and g(x) ? Justify your answerWhat key features do f(x) and g(x) have in common ? (Consider domain , range, xintercepts , and y intercepts)

Answers

The functions f(x) and g(x) are different functions.

How to explain the function?

The function f(x) is a cubic function, while the function g(x) is a logarithmic function. The common feature of both functions is their range

The functions are given as:

f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2

This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.

From the attached graph, we have the following features:

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y-intercept = 3

x - intercepts = -2.37

Function g(x)

Domain: x > 0

Range: -∞ < y < ∞

y - intercept = None

x - intercepts = 0.01

By comparing the key features above, we can conclude that the common features in both functions are their range

Read more about functions at:

brainly.com/question/24123211

#SPJ1

One side of a rectangle is 24 cm longer than four times another side. Find the length of the sides, given that the area of the rectangle is 1260 cm ^ 2 . Enter both sides, separated by a comma. Length of the sides: cm

Answers

Answer:

84 cm, 15 cm

Step-by-step explanation:

Check the attachment.

How many pieces of stone each of size 20 cm x 30 cm x 10 cm are required to construct a wall of 20 m x 60 cm x 2m?​

Answers

4000 pieces of stones needed

Explanation:

All measurements should be taken in cm unit wise

For wall:

20 m = 2000 cm60 cm = 60 cm2 m = 200 cm

For each stone:

20 cm30 cm10 cm

Volume of the wall:

2000 x 60 x 200 24000000 cm³

Volume of each stone:

20 x 30 x 106000 cm³

Pieces of stone needed:

24000000/60004000 pieces of stones

Answer:

=> 4000 pieces

Step-by-step explanation:

First change m into cm

20m -> 2000cm

2m -> 200cm

volume of wall = 2000×200×60

=> 24000000 cm³

volume of each stone = 20×30×10

=> 6000 cm³

stone needed = 24000000/6000

=> 4000 pieces

Which function represents the sequence? 45, 40, 35, 30, 25

Answers

Answer:

the function is subtracting 5 from the next number, the next number would be 20. If this helped please mark brainliest

Step-by-step explanation:

Subtract by 5 for everyone

help?????????? i don't really know how to answer

Answers

Answer:

[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]

Step-by-step explanation:

Given:

Total money Marsha gave = 20$

Total money she received in return = 5.03$

Number of pairs of socks she purchased= 3 pairs

To find: Cost of each pair of socks =?

Solution:

Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,

[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]

Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.

Thanks for joining brainly community!

Answer:

$4.99

Step-by-step explanation:

Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;

⇒ Cost for 3 pairs of socks = 20 - 5.03 = $14.97⇒ Cost for 3 pairs of socks = $14.97

To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.

⇒ Cost for 3 pairs of socks/3 = $14.97/3⇒ Cost for each pair of socks = $4.99

Therefore, the cost for each pair of socks $4.99.


An alloy weighing 30 lbs is 119 tin The alloy was made by mixing a 15% tin alloy and a 9% tin allov. How many pounds of each alloy were used to make the 11% alloy?

Answers

We let x = pounds of alloy that is 15% tin

The problem is modeled by the equation:

0.11(30) = 0.15x + 0.09(30-x)

The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).

Solving for x:

3.3 = 0.15x +2.7 - 0.09x

.06x = 0.6

x = 10 lbs

30-10 = 20 lbs

10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy

∠A and \angle B∠B are vertical angles. If m\angle A=(7x-6)^{\circ}∠A=(7x−6) ∘ and m\angle B=(8x-27)^{\circ}∠B=(8x−27) ∘ , then find the measure of \angle B∠B.

Answers

Answer: 141 degrees

Step-by-step explanation:

pls help!!! What is the surface area of the pyramid?

Answers

Answer:

SA = 224 ft^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 8

H = 10

SA = (B×B) + 4((1/2)×(B×H))

SA = (8×8) + 4((1/2)×(8×10))

SA = 224 ft^2

what is the solution to this system of equations?
4x+y=6
x-2y=6

Answers

x=2 and y=(-2)

hope it helps...

Answer:

y = ( -2 )

x = 2

Step-by-step explanation:

4x + y = 6 ⇒ ( 1 )

x - 2y = 6  ⇒ ( 2 )

x = 6 + 2y ⇒ ( 3 )

First, let us find the value of y.

For that, we can replace x with ( 6 + 2y ).

Let us use equation 1 for that.

4x + y = 6

4 ( 6 + 2y ) + y = 6

24 + 8y + y = 6

24 + 9y = 6

9y = 6 - 24

9y = -18

Divide both sides by 9.

y = -2

Now let us find the value of x by replacing y with -2.

For that let us take equation 3.

x = 6 + 2y

x = 6 + 2 × -2

x = 6 - 4

x = 2

Help Asap please 100 points

Answers

The first one is also 158 I think i don’t know the second one though

find the slope of the line graphed below.

Answers

Answer: I got 4/7

Step-by-step explanation:

(-3,1)(4,5)[this points from graph btw]

the formula of slop is [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex]

[tex]\frac{5-1}{4-(-3)\\}\\ \\\frac{5-1}{4+3} \\\\=\frac{4}{7}[/tex]

When the bank returns a check for which there is not enough money in the bank to cover it, what do we call the check?
o uncovered
O irresponsible
O bounced
o free

Answers

The answer is bounced

Each day, Mr. Bowman selects a piece of paper from a bag to determine whether
plece: walk or backyard. Mr. Bowman's students pulled a piece of paper from the bag
results.

Answers

Answer : Backyard

Step-by-step explanation:

Five is to three as thirty is to what number?​

Answers

5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.

Identify the domain of the following rational expression:
7x
3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.

Answers

The domain for the rational expression as given in the task content is; All real numbers except -5.

Domain of Rational functions

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.

Read more on rational functions;

https://brainly.com/question/13763081

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