Y is equal to the additive inverse of 4x. Use this information to find the value of the expression 17x + 3y in terms of x.

Answer:

20n

Step-by-step explanation:

One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.

1 pretzel = 20 calories

n pretzel = x

Cross Multiply

x × 1 pretzel = n pretzel × 20 calories

x = n pretzel × 20 calories/1 pretzel

x = 20 n

Therefore, an algebraic expression for the total number of calories in n pretzels = 20n

Answer:

The market sold 18 6-ounce cans of soup on Tuesday

Step-by-step explanation:

Let us solve the question

∵ The number of the 6-ounce cans is x

∵ The number of 12-ounce cans is y

∵ 6x + 12y = 420

→ Divide each term by 6 to simplify the equation

∴ x + 2y = 70 ⇒ (1)

∵ x + y = 44 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (x - x) + (2y - y) = (70 - 44)

∴ 0 + y = 26

∴ y = 26

Substitute the value of y in equation (2) to find the value of x

∵ x + 26 = 44

→ Subtract 26 from both sides

∴ x + 26 - 26 = 44 - 26

∴ x = 18

∵ x represents the number of the 6-ounce cans

∴ The market sold 18 6-ounce cans of soup on Tuesday

Step-by-step explanation:

4x,+10-2x=70

2x+10=70

2x=60

x=60

2

x=30

hope it helps.

Answer:

x=30

Step-by-step explanation:

4x+10-2x=70

Combine 4x and -2x

2x+10=70

Isolate variable

2x=60

divide everything by 2

x=30

Answer:

5 matches

Step-by-step explanation:

25% of 20

Do 25/100 * 20

25/100 (20)

Answer:

92

Step-by-step explanation:

let 'q' = score on last quiz

  70 + 75 + 83 + 80 + q  ≥  80

                   5

cross-multiply:

308 + q ≥ 5(80)

308 + q ≥ 400

q ≥ 92

Answer:

false

Step-by-step explanation:

Answer:

slope = - 50

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 2400) and (x₂, y₂ ) = (12, 2000) ← 2 points on the line

m = [tex]\frac{2000-2400}{12-4}[/tex] = [tex]\frac{-400}{8}[/tex] = - 50

Answer:

550 1/3

4952/9=1651/3=550 1/3

Answer:

25 hours

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

D is your answer

Step-by-step explanation:

Answer:

[tex]option \: d[/tex]

Step-by-step explanation:

............ ................

....

Answer:

12x + 25

Step-by-step explanation:

Just subtract the Xs, so 19x - 7x = 12x.

Then, you add back in the 25 so 12x + 25

Answer:

12x+25

Step-by-step explanation:

19x-7x+25=12x+25

Answer:

68/13=5n

Step-by-step explanation:

So you have 75 glass beads. Since you already used 7 to make a bracelet you would subtract that amount

75-7= 68

Then you would do 68/13 because each necklace needs that amount

13 can only go into 68 5 times because you cant make a partial amount of a necklace

Answer:

13

Step-by-step explanation: 75. 5 .=5-5

Answer:

ok.

Step-by-step explanation:

hiiiiiiiiiiiiiiiiii

Answer:

hi

Step-by-step explanation:

hi

Answer:

The axis of symmetry is the horizontal shift. If I am not wrong, you might be learning about absolute value functions or parabolas.

The absolute value function: f(x)= a|x-h|+k

The parabola (Vertex form of a quadriceps function): f(x)= a(x-h)^2+k

The variable ‘h’ is the horizontal shift, in other words, the axis of symmetry

Answer:

x=12

Step-by-step explanation:

hope this helps

Answer:

First is to collect like terms therefore bring the x to the right and the numbers to the left side:

-x+7=x-5

5+7=x+x

12=2x

Divide both sides by 2 so that we find the value of x

12/2=2x/2

6=x

Answer:

D

Step-by-step explanation:

3y + 2y =5y

-b + 6b =5b

so then it's 5y - 5b

Answer:

The baseball's volume will be less than the number of cubic inches in the display case. The cube's edge will be 8.

2. If a sphere fits snugly inside this cube, what is its volume?

the volume of a cube is the side^3, 512^(1/3)=8. 3. 4/3pi(r^3)/512,  

3. What fraction of the cube is taken up by the sphere? What percentage is this? Explain or show your reasoning.= the radius will be 4 since the edge of the cube is 8. 4/3pi(4^3)/512, so pi/6 when simplified or 52.3598%.

Step-by-step explanation:

a) The side length of the cube with volume V = 512 units³ is a = 8 units

b) The volume of the sphere is V₁ = ( 4/3 )π ( 4 )³

c) The faction of the cube taken up by the sphere is A = 52.35 %

The formula of volume of the cube is given by:

Volume of Cube = a x a x a

Volume of Cube = a³

where a is the length of its sides or edges

Given data ,

a)

Let the volume of the cube be represented as V

Now , the value of V is V = 512 unis³

And , Volume of Cube = a³

On simplifying , we get

512 = a³

Taking cube roots on both sides , we get

a = ∛512

a = 8 units

Therefore , the side length of the cube is 8 units

b)

The volume of the sphere is V₁ = ( 4/3 )πr³

Now , the radius of the sphere is r = a/2 = 4 units

And , volume of the sphere is V₁ = ( 4/3 )π ( 4 )³

c)

Let the fraction of the cube is taken up by the sphere be A

And , A = volume of sphere / volume of cube

On simplifying , we get

A = ( 4/3 )π ( 4 )³ / 512

On further simplification , we get

A = ( 4 )⁴ / 1536 ( π )

A = 0.5235

So , the value of A is 52.35 %

Therefore , the fraction of the cube is taken up by the sphere is 52.35 %

Hence , the volume of cube is 512 units³ and the side length is 8 units

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Answer:

y = 5x + 4

Step-by-step explanation:

4 is the y intercept so that most of the time is the answer when you see a 4 in the y point

The lines goes through the point (0, 4) and is parallel to y = 5x - 3 would be; y = 5x + 4

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Given that

y=5x-3

m=5

The slope of a line parallel to this line is;

[tex]\begin{gathered} m(parallel)=m \\ m=5 \\ m(parallel)=5 \end{gathered}[/tex]

Now We proceed to use the point-slope equation to get the equation of the line that is;

[tex]\begin{gathered} y-y_1=m(x-x_1)\\ \\ (x_1,y_1)=(0,4)\\ \\ y-4=5(x-0) \\\\ y-4=5x+0 \\ y=5x+4 \end{gathered}[/tex]

Here 4 is the y intercept.

Learn more about slope here:

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Answer:

No b answer is 867.2839506173£ will be of $1405

Answer:

a diagonal line

Step-by-step explanation:

Well, if you're in debt your amount of money can go into the negatives

Answer:

She bought 7 packs of stickers

5 * x = 35

Step-by-step explanation:

35 divided by 5 is 7

5 * x = 35

Answer:

prettyy sure it is 59

Step-by-step explanation:

good luck

Answer:

C. 59

Step-by-step explanation

I don't see a 17 in the data set, so I would say the answer is C. 59, because all the other numbers are in the 70s and this one is not.