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alexdok [17]
3 years ago
15

Which two ratios form a proportion? A 1/ 2 and 4/2 B.2/1 and 4/8 C.1/2 and 8/4 D.2/1 and 16/8

Mathematics
2 answers:
N76 [4]3 years ago
6 0

Answer:

Option D

Step-by-step explanation:

LEts check each option

Simplify the fraction and check whether they are equal

Option A: \frac{1}{2} =\frac{4}{2}

\frac{1}{2} =2. they are not equal

Option B: \frac{2}{1} =\frac{4}{8}

\frac{2}{1} =\frac{1}{2}. they are not equal

Option C: \frac{1}{2} =\frac{8}{4}

\frac{1}{2} =\frac{2}{1}. they are not equal

Option D: \frac{2}{1} =\frac{16}{8}

\frac{2}{1} =\frac{2}{1}. they are equal

wel3 years ago
4 0

Two ratios form a proportion if they are equal. If one fraction is equivalent to the other fraction, they form a proportion. To find out, reduce both fractions and see if they are equal.

A

1/2 and 4/2

Reduce 4/2 to 2/1.

1/2 and 2/1 are not equal.

1/2 and 4/2 do not form a proportion.

B

2/1 and 4/8

Reduce 4/8 to 1/2.

2/1 and 1/2 are not equal.

2/1 and 4/8 do not form a proportion

C

1/2 and 8/4

Reduce 8/4 to 2/1.

1/2 and 2/1 are not equal.

1/2 and 8/4 do not form a proportion

D

2/1 and 16/8

Reduce 16/8 to 2/1

2/1 and 2/1 are equal.

2/1 and 16/8 form a proportion.

Answer: D. 2/1 and 16/8

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( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify
pishuonlain [190]

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

7x +  \frac{1}{2}  + 7x -  \frac{7 \times 2 + 1}{2}

2) Simplify 7 × 2 to 14 .

7x +  \frac{1}{2}  + 7x  -  \frac{14 + 1}{2}

3) Simplify 14 + 1 to 15.

7x +  \frac{1}{2}  + 7x -  \frac{15}{2}

4) Collect like terms.

(7x + 7x) + ( \frac{1}{2}  -  \frac{15}{2} )

5) simplify.

14x - 7

6) Factor out the common term 7.

7(2x - 1)

Therefor, the answer is 7( 2x - 1 ).

7 0
2 years ago
A scale model of a ramp is a right triangular prism as given in this figure. in the actual ramp, the triangular base has a heigh
kakasveta [241]

The surface area of the actual ramp including the underside is 16.8 ft²

The height of the actual ramp = 1.2 feet  

The height of the model = 6 cm

<h3>What is the surface area of a right triangular prism?</h3>

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

convert the units

9 cm = 9 cm × 0.2 ft/cm = 1.8 ft

10 cm = 10 cm × 0.2 ft/cm = 2 ft

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)

= 16.8 ft²

Hence, the surface area of the actual ramp including the underside is 16.8 ft²

Learn more about the area here:

brainly.com/question/25292087

3 0
3 years ago
Solve for w, where w is a real number.
Ber [7]

Answer:

w= 9

Step-by-step explanation:

\sqrt{ - 4w + 61}  = w - 4

Square both sides:

-4w +61= (w -4)²

\boxed{(a - b)^{2}  = a^2 -2ab + b^2 }

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0
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uranmaximum [27]

Answer:

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Step-by-step explanation:

6x^2 + 9x - 12/ 3x

1. Reduce the expression by cancelling the common factors.

2x^2 + 3x - 4/ x

2. Divide each term in the numerator by the denominator.

2x^2/x  +  3x/x  -  4/x

3. Simplify each term. Then when you finish to simplify your answwer would be:  2x + 3 - 4/x

i hope its helpful! :D

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3 years ago
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babunello [35]

Answer: A

Step-by-step explanation:

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