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Phoenix [80]
2 years ago
6

Solve the following proportion by cross multiplying: x / 8 = 28 / 32

Mathematics
2 answers:
AveGali [126]2 years ago
6 0
Since it is an equality that means the left side of the equation (x/8) has to be equal to the right side of the equation (28/32). One way you can solve for x is to isolate it. Since it’s an equality like we said you have to do to the left side the same that you would do to the right side to isolate x. So if I multiply by 8 on the left I need to also multiply by 8 on the right. So 8* (x/8) becomes just x since 8x/8 becomes 8/8 * x which is 1 *x. On the right side we do 8 *(28/32) which becomes 28 * 8/32 which becomes 7. So x = 7.
vova2212 [387]2 years ago
4 0

Answer:  x = 7

Step-by-step explanation:

\frac{x}{8} =\frac{28}{32}

We cross multiply, and we get:

32x = 8(28)

32x = 224

    x = 7

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A machine made 3 1/2 pencils in 1/6 of a minute. It made at a rate of how many per minute?
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21 per min

Step-by-step explanation:

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What are the steps to this equation to -2x-4+5x=8
laila [671]

Answer:

x = 4

Explanation:

−2x − 4 + 5x = 8

[ Simplify both sides of the equation ]

−2x − 4 + 5x = 8

−2x + −4 + 5x = 8

(−2x + 5x) + (−4) = 8 (Combine Like Terms)

3x + −4 = 8

3x − 4 = 8

[ Add 4 to both sides ]

3x − 4 + 4 = 8 + 4

3x = 12

[ Divide both sides by 3 ]

3x / 3 = 12 / 3

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- PNW

6 0
3 years ago
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A two-person relay race consists of eight times around a football field. Juan runs four and one-sixth times and Antonio runs thr
Serga [27]

Answer:

A


Step-by-step explanation:


To convert mixed number as improper fractions, use this rule:

A\frac{B}C}=\frac{(A*C)+B}{C}


<u>For Juan:</u>  (4\frac{1}{6})

4\frac{1}{6}=\frac{(4*6)+1}{6}=\frac{25}{6}


<u>For Antonio:</u>  (3\frac{2}{3})

3\frac{2}{3}=\frac{(3*3)+2}{3}=\frac{11}{3}


Answer choice A is correct.


5 0
3 years ago
Suppose a population of insects begins to grow gradually, and then over time, the rate of growth experiences rapid growth. Which
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8 0
3 years ago
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Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Snezhnost [94]

Answer:

\boxed {\boxed {\sf 1. \ 20 }}

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles. Remember that <em>equil</em>ateral sounds like equal.

The interior angles of a triangle must equal 180 degrees.

  • All 3 angles are the same.
  • 180/3= 60
  • All 3 angles in an equilateral triangle equal 60 degrees.

The question tells us the angle is equal to (4x-20).

  • ∠= 60°
  • ∠= (4x-20)°

So, by substitution, we can set 60 and (4x-20) equal to each other.

60=4x-20

Now, solve for x by isolating the variable on one side of the equation.

20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.

20+60=4x-20+20 \\ 20+60=4x\\80=4x

x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.

\frac{80}{4}=\frac{4x}{4}

\frac{80}{4}=x \\\ 20=x

x is equal to 20 and choice 1 is correct.

3 0
3 years ago
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