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4 years ago

From the set {5, 9, 12}, use substitution to determine which value of x makes the equation true. 12(x - 4) = 96

Mathematics

1 answer:

Savatey [412]4 years ago

4 0

Answer:

Step-by-step explanation:

12(5-4)=96

60-48=12 means it's not five

12(9-4)=96

108-48=60 means it's not 9

12(12-4)=60

144-48=96 so answer is 12

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It takes Kevin 15 minutes to drive 52 miles.

Kaylis [27]

Answer:

Step-by-step explanation:

5 0

3 years ago

The number of kilograms of water in a human body varies directly as the mass of the body. An 87-kg person contains 58 kg of wat

katen-ka-za [31]

Answer:

50 kg water.

Step-by-step explanation:

We have been given that the number of kilograms of water in a human body varies directly as the mass of the body.

We know that two directly proportional quantities are in form $y=kx$ , where y varies directly with x and k is constant of variation.

We are told that an 87-kg person contains 58 kg of water. We can represent this information in an equation as:

$58=k\cdot 87$

Let us find the constant of variation as:

$\frac{58}{87}=\frac{k\cdot 87}{87}$

$\frac{29*2}{29*3}=k$

$\frac{2}{3}=k$

The equation $y=\frac{2}{3}x$ represents the relation between water (y) in a human body with respect to mass of the body (x).

To find the amount of water in a 75-kg person, we will substitute $x=75$ in our given equation and solve for y.

$y=\frac{2}{3}(75)$

$y=2(25)$

$y=50$

Therefore, there are 50 kg of water in a 75-kg person.

3 0

3 years ago

Find the product, write using<br> positive exponents.<br> x-6 • x-2

Lelu [443]

Answer:

(2x)X-12

Step-by-step explanation:

x-6.x-2

4 0

4 years ago

Read 2 more answers

PLATO: Type the correct answer in each box. The vector is first dilated by a factor of 2.5 and then rotated by pi/2 radians. If

yawa3891 [41]

Answer:

a = -1, b = -2.5

Step-by-step explanation:

Rule for the dilation of a vector $\binom{x}{y}$ by a scale factor of k is,

(x, y) → (kx, ky)

BY using this rule for a vector $\binom{-1}{4}$ by a scale factor of 2.5

$\binom{-1}{4}$ → $\binom{-2.5}{1}$

Followed by the rotation by 90° Or $\frac{\pi }{2}$ radians,

Rule for rotation of a vector by 90° is,

(x, y) → (-y, x)

By this rule vector $\binom{-2.5}{1}$ will become,

$\binom{-2.5}{1}$ → $\binom{-1}{-2.5}$

If we represent this vector by $\binom{a}{b}$ ,

Then a = -1 and b = -2.5 will be the answer.

5 0

3 years ago

Read 2 more answers

A tailor cuts 2 3/4 yards from a roll of fabric to make one curtain.

Otrada [13]

Answer:

You know, I really don’t like the 312 notation, I think it’s a lot more confusing than writing 3.5 or even 72. I’ll use the latter here, to make the math easier.

Okay, Erica started with 72 yards of fabric. Then, she uses 2/3 of that. But how much is 23 of 72? All you have to do is multiply!

72⋅23=146=73

Alright, she used 73 yards of fabric in the curtain, if you take that out of the total how much will be left?

72−73=21−146=76

Here it is, she will have 76 yards of fabric left. If you want the answer in that notation, it is 116.

You know, I really don’t like the 312 notation, I think it’s a lot more confusing than writing 3.5 or even 72. I’ll use the latter here, to make the math easier.

Okay, Erica started with 72 yards of fabric. Then, she uses 2/3 of that. But how much is 23 of 72? All you have to do is multiply!

72⋅23=146=73

Alright, she used 73 yards of fabric in the curtain, if you take that out of the total how much will be left?

72−73=21−146=76

Here it is, she will have 76 yards of fabric left. If you want the answer in that notation, it is 116.

7 0

3 years ago