Mathematics Middle School

Which word sentence represents the equation?



6(x + 3) = 42



A. The sum of 3 and six times some number is 42.

B. Three plus 3 times some number is 42.

C. Six times some number plus 3 is 42.

D. Six times the sum of a number and 3 is 42.

Answers

Answer 1
Final answer:

The word sentence that represents the equation 6(x + 3) = 42 is option A: The sum of 3 and six times some number is 42.

Explanation:

The word sentence that represents the equation 6(x + 3) = 42 is option A. The sum of 3 and six times some number is 42.

To understand why, let's break down the equation step-by-step:

We have the expression (x + 3) in parentheses, which means that whatever number the student chooses to replace x with should be added to 3.Next, we multiply the entire expression (x + 3) by 6.The result of that multiplication should equal 42.

So, option A correctly expresses the equation by stating that the sum of 3 and six times some number is 42.

Related Questions

Suppose there are 20 questions on a multiple choice test.if 25%of the answers are choice B how many of the answers are not choice B

Answers

The amount of answers that are not choice B are 15 questions.
First, break down the question. There are 20 questions in all. So, do 20-25%=15. So, 15 questions aren't choice B.

Please don't answer if you don't know.

Answers

Since they are vertical angles, they are congruent:

2x + 2 = 3x - 52

Solving:

54 = x

Hope this helps!
2x + 2 = 3x - 52

2x - 3x = -2 - 52

- x = - 54

x = 54


hope this helps

5x-2y=8 solve for y

Answers

[tex]5x-2y=8\ \ \ \ |-5x\\\\-2y=8-5x\ \ \ |:(-2)\\\\y=-4+2.5x\\\\\boxed{y=2.5x-4}[/tex]

explain the. different ways that u can use multiplication to estimate. and solve. division problems

Answers

Do the division problem.Multiply the quotient times the divisor.If there is a remainder, add it to the multiplication product.Compare this answer to the dividend. They should be the same number (630 = 630).

Answer:

Instead of divide the dividend by the divisor to get a quotient, you can estimate an approximate quotient and then multiply it by the dividend. If the result is greater than the divisor, then your estimated quotient was greater than the actual quotient, in the case that the result is lower than the divisor, then your estimated quotient was lower than the actual quotient. After that you proceed to estimate again the quotient. For example:

First approximation:

192/12 ≈ 14

12*14 = 168 < 192

Second approximation:

192/12 ≈ 20

12*20 = 240

So, the answer is between 14 and 20

Third approximation:

192/12 ≈ 16

12*16 = 192

Then, 16 is the correct answer

PLEASE HELP ASAP!

Which of the following does not represent a function?

the first one on the left is A and the last one on the right is D

Answers

C is the answer to it
C, because a slope be curved or straight .

Find the GCF of 44j5k4 and 121j2k6.

Answers

How? I really would like to know

Answer:

The GCF is [tex]11j^{2} k^{4}[/tex]

Step-by-step explanation: I did the assignment on edge.

An architect is designing a new windmill with four sails. In his sketch the sails center of rotation is the origin (0,0) and the top of one sails point T, has a coordinates (6,-2). He wants to make another sketch that shows the windmill after sails have rotated 180* degrees about their center of rotation. What would be the coordinates of T?

Answers

The coordinates of T are (-6,2).

The sails center of rotation is the origin (0,0)

The top of one sails point T(6,2).

What is the rotation?

The action or process of rotating on or as if on an axis or center.

A 180 degree rotation make you turn (x, y) into (-x, -y),

so the point  turn (6, -2), into (-6, 2).

Therefore the coordinates of T are (-6,2).

To learn more about the coordinate after rotation visit:

https://brainly.com/question/14266597

find the equation of the normal of the curve at the given points :D thankiewss

Answers

We want to find the equation of the normal line of [tex]y=\dfrac{20-x}{3x}[/tex] at the point [tex]P=(x_0,y_0)[/tex], where [tex]y_0=3[/tex]. First calculate [tex]x_0[/tex]. We have:

[tex]y_0=f(x_0)=\dfrac{20-x_0}{3x_0}\\\\\\3=\dfrac{20-x_0}{3x_0}\quad|\cdot3x_0\\\\\\3\cdot3x_0=20-x_0\\\\9x_0=20-x_0\\\\9x_0+x_0=20\\\\10x_0=20\quad|:2\\\\\boxed{x_0=2}[/tex]

Now, when we know that [tex]P=(x_0,y_0)=(2,3)[/tex] we can write an equation of the normal line as:

[tex]\boxed{y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)}[/tex]

Calculate [tex]f'(x_0)[/tex]:

[tex]f'(x)=\left(\dfrac{20-x}{3x}\right)'=\left(\dfrac{20}{3x}\right)'-\left(\dfrac{x}{3x}\right)'=\dfrac{20}{3}\cdot\left(\dfrac{1}{x}\right)'-\left(\dfrac{1}{3}\right)'=\\\\\\=\dfrac{20}{3}\cdot\left(-\dfrac{1}{x^2}\right)-0=\boxed{-\dfrac{20}{3x^2}}\\\\\\\\f'(x_0)=f'(2)=-\dfrac{20}{3\cdot2^2}=-\dfrac{20}{3\cdot4}=-\dfrac{20}{12}=\boxed{-\frac{5}{3}}[/tex]

and the equation of the normal line:

[tex]y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)\\\\\\y-3=-\dfrac{1}{-\frac{5}{3}}(x-2)\\\\\\y-3=\dfrac{3}{5}(x-2)\\\\\\y-3=\dfrac{3}{5}x-\dfrac{6}{5}\\\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}+3\\\\\\\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]

a jigsaw puzzle has edge pieces and inside pieces. the ratio 3:22. there are 924 inside pieces. calculate the total number of pieces in the puzzle

Answers

Okay. So, 924 pieces are inside. Let’s divide to see how many times 22 goes into 924. 924/22 = 42. So now, multiply 3 by 42 to do the same thing the opposite way. The product is 126. There are 126 edge pieces in the puzzle. You can do 126/924 to get the fraction in simplest form to be 3/22. To find the total number of pieces, add both numbers up. The sum of the two numbers is 1,050. There are 1,050 total pieces in the puzzle.

The jigsaw puzzle has a total of 1050 pieces, with 126 edge pieces and 924 inside pieces, based on the ratio 3:22 provided in the question.

To calculate the total number of pieces in the jigsaw puzzle, we need to use the given ratio of edge pieces to inside pieces, which is 3:22. If there are 924 inside pieces, and the ratio of edge pieces to inside pieces must remain constant, we can set up a proportion where the number of edge pieces is represented by x and the number of inside pieces by 924.

3:22 = x:924

To find the value of x, we can cross-multiply:

3 * 924 = 22 * x

This gives us :

2772 = 22x

Now, we can solve for x by dividing both sides of the equation by 22:

x = 2772 / 22

x = 126

This means there are 126 edge pieces. To find the total number of pieces in the jigsaw puzzle, we add the edge pieces to the inside pieces:

Total pieces = edge pieces + inside pieces = 126 + 924 = 1050

Can someone help me solve X please?

Answers

Both equations are the same angle so you have to create your own equation to solve for x.

4x + 66 = 7x + 15
Subtract 4x to both sides.
66 = 3x + 15
Subtract 15 from both sides.
51 = 3x
Divide.
17 = x 
I hope this helps love! :)

A pancake recipe calls for 4 cups of flour and 3 cups milk.does the recipe calling for 2 cups flour and 1.5 cup milk use the same ratio of flour to milk

Answers

yes because if you take 4:3 it equals out to be 2:1.5

I NEED HELP FAST! PLEASE!
Carson was building a greenhouse. He has a board that is 6 1/3 ft long. He’s needs the board to measure 5 1/6 fr. how much will he need to cut off of the board?

Answers

6 1/3-5 1/6=6 2/6-5 1/6= 1 1/6. Hope this helps!

How do I solve 26/5+8.8?

Answers

You would do 26/5 first because of the order of operations. 26/5= 5.2
5.2+8.8= 14

You would do 26/5 then add 8.8 it would equal 14

Most of the energy on Earth comes from A. Chemicals B. The sun C. Photosynthesis D. Carbohydrates

Answers

B.The sun. The sun shines down on earth for US humans to have energy.
(B. the sun) we get our energy mostly solar energy from the sun

When your graphing inequality how do you know which side to shade in

Answers

When graphing an inequality, it is often hard to see what side is shaded, to signal which solutions work. Try out (0, 0) into the equation and if it works, it is a solution, so shade the side that has the origin in it.
You figure out by picking a coordinate on either side of the line, and see if it satisfies the inequality. If it doesn't, the other side of the line will be shaded. If it does, shade that side.

A group consisted of two girls for every boy. 24 more girls joined the group. there are now five girls for every boy. how many boys are in the group?

Answers

I think it's 4 1/2 because 5×4 equals 20

PLEASE HELP 2O POINTS
SHOW ME THE CORRECT ANSWER DRAW!!

PLOT THE X- AND Y- INTERCEPTS TO GRAPH THE EQUATION
Y = 1/3 x - 1

Answers

The x-intercept is at (3, 0) and the y-intercept is at (0, -1). :0

Kendrick adds 3/4cup of chicken stock to a pot. Then he takes 3/4 cup of stock out of the pot. What is the overall increase or decrease in the amount of chicken stock in the pot?

Answers

the over all increase is 3/4 the decrease is 3/4 so the answer would be 0 stock in a pot

There is no net change in the amount of chicken stock in the pot.

To determine the overall change in the amount of chicken stock, we need to compare the amount added to the amount removed. Kendrick adds 3/4 cup of chicken stock to the pot, and then he takes out 3/4 cup of chicken stock from the pot.

Using a simple calculation:

Initial stock added: 3/4 cupStock removed: 3/4 cupOverall change = 3/4 cup - 3/4 cup = 0 cups

Therefore, the overall increase or decrease in the amount of chicken stock in the pot is zero. There is no net change in the amount of chicken stock in the pot.

A scuba diver is 3.8 meters below the surface of the water. He is descending at a rate of 0.5 meters per minute.

Part 1:
Write an algebraic expression to describe the depth of the scuba diver after any number of minutes.




Part 2:

Describe what the variable represents in this situation.

Answers

-3.8 - 0.5m <== ur expression

the variable (m) represents number of minutes

Answer:

[tex]-3.8-0.5x[/tex]

Step-by-step explanation:

A scuba diver is 3.8 meters below the surface of the water.

So, Depth of scuba driver is - 3.8 m

He is descending at a rate of 0.5 meters per minute.

So, Rate = -0.5 m . min

So,Distance traveled in x minutes = -0.05 x

So, The depth after x minutes = -3.8-0.5x

So, an algebraic expression to describe the depth of the scuba diver after any number of minutes is  -3.8-0.5x

The variable x represents the no. of minutes .

56/x^2-2x-15 - 6/x+3 = 7/x-5

Answers

i have no idea man, it said no solution in my calculation 

need help with this if someone could help me please and thank you

Answers

I would say the square with 3 out of 4 boxes shaded, because the point is 0.75
The answer is C the one with 3 out of 4 
Hope this helps!!

10 peaple can paint a room in 5 days. if each person paints as quickly as the others then how much of the building could 7 paint in 5 days?

Answers

70% of the room could be painted
7 people is 70% of 10 people.
If 10 people can paint the room in 5 days, then 7 people can paint 70% of the room in 5 days.

find y when x= 115 if y=10 when x=130

Answers

what is the equation

f(x)=-x^2+8x-20 find the min/max value

Answers

use the formula 
-b/2(a)

The maximum value of the quadratic function f(x)=-[tex]x^2+8x-20[/tex] is -4, which occurs at x=4. This value can be found by using the vertex formula for parabolas.

The function in question is f(x)=-[tex]x^2[/tex]+8x-20. This is a quadratic function, and since the coefficient of [tex]x^2[/tex] is negative, the graph of the function will be a downward-opening parabola. To find the maximum value of this function, we need to determine the vertex of the parabola.

The vertex of a parabola in the form of f(x)=[tex]ax^2[/tex]+bx+c is given by the formula h=-b/(2a). Plugging in our coefficients a=-1 and b=8, we find the x-coordinate of the vertex to be h=-8/(2(-1))=4. To find the corresponding y-coordinate, which is the maximum value, we substitute x=4 into the original function [tex]ax^2[/tex]+bx+c:

f(4)=[tex]-4^2+8\times4-20[/tex]

f(4)=-16+32-20

f(4)=-4

Therefore, the maximum value of the function f(x)=-[tex]x^2+8x-20[/tex] is -4, which occurs at x=4.


Plot the x- and y-intercepts to graph the equation. y=1/3x−1.


Answers

To find the x-intercept, substitute in y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept= (3,0)
y-intercept= (0,-1)

Answer:

The graph of given equation is shown below.

x-intercept is 3 and y-intercept is -1.

Step-by-step explanation:

The given function is

[tex]f(x)=\frac{1}{3}x-1[/tex]

We need to draw the graph of given equation.

At x=0,

[tex]f(0)=\frac{1}{3}(0)-1=-1[/tex]

So, y-intercept is -1.

Equate f(x)=0 to find x-intercept.

[tex]\frac{1}{3}x-1=0[/tex]

[tex]\frac{1}{3}x=1[/tex]

Multiply both sides by 3.

[tex]x=3[/tex]

So, x-intercept of the line is 3.

Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.

At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at 10:00 P.M. the temperature had decreased by 15°F, how much does the temperature need to rise or fall to return to the original temperature of 33°F?
A) Fall 7°F

B) Rise 7°F

C) Fall 3°F

D) Rise 3°F

Answers

So at 6:00 a.m. the temperature is 33 F
12:00 p.m. the temperature increased by 10 F so it is 43 F
3:00 p.m. the temperature increased by another 12 F making it 55 F
At 10:00 p.m. it would decrease by 15 F making it 40 F.

The temperature would need to fall/decrease 7 F to reach the original temperature of 33 F so it would be A.

Hope this helps!
Can u plz mark me as brainliest? I really need it!

What is lineAF? 11 units 15 units 43 units 51 units

Answers

Answer:

d.51

Step-by-step explanation:

took the quiz

Find the x-intercept of the line:

-4x - 2y = 16

Question 6 options:

a) (-4,0)
b) (4,0)
c) (0,8)
d) (0.-8)

Answers

The x intercept is a. (-4,0)
The answer is a) (-4,0)

sanjay can travel 342 miles in 6 hours. at this rate, how far can he travel in 5 hours?

Answers

285 miles in 5 hours
To find the hourly rate, you divide miles/hour.
342/6= 57mph
57*5= 285

If Bella runs 40% as fast as Thomas and 35% as fast as tam what percent faster than Thomas is tam

Answers

I think you multiply 40 by35
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