MATHEMATICS HIGH SCHOOL

Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in., 4 in. × 6 in., and 4.25 in. × 6 in. Which size postcard should she use? Explain.

Answers

Answer 1

Answer:

Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.

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A negative integer is a whole number.

Answers

Answer:

A negative integer is a whole number

NEVER TRUE

Integers run from 0 on up

No decimals

No fractions

Step-by-step explanation:

Always an integer is a whole number :)

What is the y-intercept of the line y + 11=2(x+1.5)

Answers

Answer:

-8

Step-by-step explanation:

Turn the equation into slope intercept form [ y = mx + b ]

y + 11 = 2(x + 1.5)

~Distribute right side

y + 11 = 2x + 3

~Subtract 11 to both sides

y = 2x - 8

"b" represents the y-intercept, so, the y-intercept is -8.

Best of Luck!

Which of the following is not the same set of numbers?natural numbers
whole numbers
counting numbers

Answers

it is natural numbers

Which relation is a direct variation that contains the ordered pair (2, 7)?

Answers

Choices:
y=4x-1
y=2/7x
y=7/2x
y=7/x

(2,7) ⇒ x = 2 ; y = 7
y = 4x - 1 ⇒ y = 4(2) - 1 ; y = 8 - 1 ; y = 7
y = 2/7x ⇒ y = 2/7(2) ; y = 2/14 ; y = 1/7
y = 7/2x ⇒ y = 7/2(2) ; y = 7/4 ; y = 1 3/4
y = 7/x ⇒ y = 7/2 ; y = 3 1/2

Among the choices, only y = 4x - 1 is the direct variation that contains the ordered pair (2,7)

The direct relation that is a direct variation that contains the ordered pair (2, 7) is; y = (7/2)x

How too work with direct variation?

Given ordered pair is (2, 7)

We know that y = kx is valid for every direct relationship,

Determine k using the y and x, since k = y/x

k = 7/2

k = 3.5

Put the value for k in y = kx and you have y = 3.5x.

Therefore, the direct relation that is a direct variation that contains the ordered pair (2, 7) is y = (7/2)x

Read more about Direct Variation at; brainly.com/question/6499629

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which of the following linear equations when graphed on a coordinate grid has the steepest slope? a. y=1/4x-7, b. y=7/3x-2, c. y=9x+2/3 d. y=6x=5/9

Answers

C. 9x is keyword (m=slope which is 9)

A. has slope of 1/4

B. has slope of 7/3

D. has slope of 6

Therefore, C. has the highest slope.

|x/3|=1

please help me <3

Answers

the correct answer is -3

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