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3 years ago

Solve the proportional

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

x = 7

Step-by-step explanation:

10 / 4 = x + 8 / x - 1

[cross multiply]

10 (x - 1) = 4 (x + 8)

[distribute the factors]

10x - 10 = 4x + 32

+ 10 + 10

[add 10 to both sides to cancel out -10]

10x = 4x + 42

-4x -4x

[subtract both sides by 4x to cancel out 4x]

6x = 42

÷6 ÷6

[divide both sides by 6 to simplify 6x to x]

x = 7

________

x = 7 → 10 / 4 = x + 8 / x - 1 →

(7) + 8 / (7) - 1 → 15 / 6 →

15 ÷ 3 / 6 ÷ 3 → 5 / 2 →

5 × 2 / 2 × 2 → 10 / 4 = 10 / 4

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A snail travels at a rate of 2.37 feet per minute. a. write a rule to describe a function. b. how far will the snail travel in 6

Naddik [55]

2.37t = feet, where t is time, in minutes. for 6 minutes we do 2.37(6) = 14.22 feet

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3 years ago

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Use substitution to solve the linear system of equations. (-8, -2) (8, -2) (-2, 8) (-2, -8).

Mamont248 [21]

The solution of the system of equation is (-8, -2).

Given that,

Use substitution to solve the linear system of equations.

y = 4x

3x + 5y = -46

We have to determine,

Solve the equation using the substitution method.

According to the question,

The given system of equation is,

$\rm y = 4x\\\\3x + 5y = -46$

Substitute y = 4x in the equation 2,

$\rm 3x+5y = -46\\\\3x+5(4x) =-46\\\\3x+20x=-46\\\\23x=-46\\\\x =\dfrac{-46}{23}\\\\x = -2$

Substitute the value of x in equation 1,

$\rm y = 8x\\\\y = 8(-2)\\\\y = -16$

Hence, The solution of the system of equation is (-8, -2).

For more details refer to the link given below.

brainly.com/question/3144348

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2 years ago

Which expressions are equivilant to 6^16?

belka [17]

The expressions which are equivalent to 6¹⁶ are

$(6^{8}) ^{2}$

$(6^{-2}) ^{\times -8}$

and $(6^{-4}) ^{\times -4}$

<h3>Equivalent expressions </h3>

From the question, we are to determine which of the given expressions are equivalent to 6¹⁶

From one of the laws of indices, we have that

$x^{y\times z} = (x^{y})^{z}$

The given expression, 6¹⁶, can be expressed as

$6^{8\times 2}$

$6^{-2\times -8}$

$6^{-4\times -4}$

Then,

$6^{8\times 2}= (6^{8}) ^{2}$

$6^{-2\times -8}= (6^{-2}) ^{\times -8}$

$6^{-4\times -4}= (6^{-4}) ^{\times -4}$

Hence, the expressions which are equivalent to 6¹⁶ are

$(6^{8}) ^{2}$

$(6^{-2}) ^{\times -8}$

and $(6^{-4}) ^{\times -4}$

Learn more on Equivalent expressions here: brainly.com/question/21643960

#SPJ1

4 0

2 years ago

1)calculate please it <br> 2) prove it please

Dvinal [7]

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2(0.25) - 0.6
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4 years ago

At a movie theater they sell hotdogs and popcorn. The first hour they sold 15 popcorns and 14 hotdogs for a total of $84. The se

Delicious77 [7]

Answer:

1 hotdog cost $2.25

1 popcorn cost $3.5

Step-by-step explanation:

Let the price of hotdog be and that of popcorn be p

For the first hour;

15p + 14h = 84 •••• (i)

for the second hour;

18p + 16h = 99 •••••(ii)

so we want to solve these two equations simultaneously

In equation 1,

14h = 84-15p

h = (84-15p)/14

Simply insert this into equation ii

18p + 16(84-15p)/14 = 99

Multiply through by 14

252p + 1344 - 240p = 1386

1386-1344 = 252p-240p

12p = 42

p = 42/12

p = $3.5

to get cost of hotdogs;

h = (84-15p)/14

Substitute p = 3.5

h = (84-52.5)/14

h = 31.5/14

h = 2.25

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3 years ago