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3 years ago

What is the answer to 20x+4=10x+100?

Mathematics

2 answers:

DanielleElmas [232]3 years ago

7 0

The answer to 20x+4=10x+100 is x = 9.6

Lunna [17]3 years ago

4 0

first since we have the variable "x" on both sides of the equation, we can subtract the lower number to make sure x is only on one side (subtract 10x from both sides)

20x + 4 = 10x + 100

10x + 4 =100

now we can subtract 4 from both sides

10x = 96

now we can divide both sides by 10 to isolate x

x = 9.6

hope this helped

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Two tapes, red and green, with lengths of 415 feet and 780 feet respectively are to be cut into pieces of equal length without r

ICE Princess25 [194]

Answer:

The greatest possible length of the pieces is 5 feet

Step-by-step explanation:

Red = 415 feet

Green = 780 feet

Find the greatest possible length of the pieces.

Find the Highest common factor

415 = 1, 5, 83, 415

780 = 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 and 780

The Highest common factor of 415 and 780 is 5

The greatest possible length of the pieces is 5 feet

Red = 415/5

= 83 pieces

Green = 780/5

= 156 pieces

3 0

3 years ago

What is the equation of y = x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to t

givi [52]

Answer:

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

Step-by-step explanation:

A vertical stretch factor 3 is given by 3x^3. Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we add -3 to this function to move it 3 units down.

Answer is y = 3(x- 4)^3 - 3

4 0

3 years ago

Read 2 more answers

Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows

juin [17]

Answer:

$\frac{AB}{A''B''} = \frac{1}{4}$

Step-by-step explanation:

Given the information:

A'B'C' reflection over x = −1
dilation by a scale factor of 4 from the origin

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= $\frac{AB}{A''B''} = \frac{1}{4}$

We choose C.

Hope it will find you well.