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3 years ago

Solve the proportion and round your answer to the nearest tenth.

Mathematics

1 answer:

GalinKa [24]3 years ago

8 0

Answer:

y = 1.1

Step-by-step explanation:

Proportion is a statement that two ratios are equal.

It can be written in two ways:

Two equal fractions $\frac{a}{b}$ = $\frac{c}{d}$

Two equal sides a: b = c: d.

We can use cross products to find a missing term in it.

Let us solve the question

∵ The proportion statement is $\frac{7.7}{15.4}$ = $\frac{y}{2.2}$

→ Use the cross multiplication to find y

∵ y × 15.4 = 7.7 × 2.2

∴ 15.4y = 16.94

→ Divide both sides by 15.4 to find y

∵ $\frac{15.4y}{15.4}$ = $\frac{16.94}{15.4}$

∴ y = 1.1

<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>

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A complete table with values for x or y that make this equation true:3x+y=15

Reika [66]

Answer:

Table is attached

Step-by-step explanation:

We are given equation as

$3x+y=15$

We will complete each column

First column:

we are given x=2 and we have to find y

$3\times 2+y=15$

$6+y=15$

$y=9$

Second column:

we are given y=3 and we have to find x

$3x+3=15$

$3x=12$

$x=4$

Third column:

we are given x=6 and we have to find y

$3\times 6+y=15$

$18+y=12$

$y=-6$

Fourth column:

we are given x=0 and we have to find y

$3\times 0+y=15$

$0+y=15$

$y=15$

Fifth column:

we are given x=3 and we have to find y

$3\times 3+y=15$

$9+y=15$

$y=6$

Sixth column:

we are given y=0 and we have to find x

$3x+0=15$

$3x=15$

$x=5$

Seventh column:

we are given y=8 and we have to find x

$3x+8=15$

$3x=7$

$x=\frac{7}{3}$

now, we can complete table

8 0

3 years ago

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair. This situation can be de

frez [133]

Answer:

b = 40

Step-by-step explanation:

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.

This situation can be described by an equation of the form y=mx+b , where

x = the time in hours

y = the cost in dollars.

What is the value of b in this equation?

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair

Writing the above in an equation =

y = $70 × x + $40

y = 70x + 40

Therefore, the value of b in the expression = 40

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3 years ago

A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the

mixas84 [53]

B. $\tan{\alpha}= \frac{h}{122+3}$

c.
$\tan{\alpha}=\frac{h}{122+3} = \frac{6}{3}
\\
\\ \frac{h}{125} = 2
\\
\\h=250$

4 0

3 years ago

While reviewing his budget, Andre calculated his variable and total expenses for last month: variable expenses: $2,863.09 total

Elenna [48]

Answer:

Fixed expenses = 1767.07

Step-by-step explanation:

Andre calculated his variable and total expenses for last month.

His variable expenses is $2,863.09

His total expenses is $4,630.16

Now, Total expenses = Variable expenses + Fixed expenses

So, Fixed expenses = Total expenses - Variable expenses

⇒ F = T - V

⇒ F = 4630.16 - 2863.09

⇒ F = 1767.07

So, this the equation to represent Andre's fixed income. (Answer)

7 0

3 years ago

Read 2 more answers

Nike marks up the original cost of all of the shoes they sell by 30%. Andre wants to buy a pair of shoes that has a price tag of

Kisachek [45]

Answer:

$90

Step-by-step explanation:

The shoes now cost 130% of the original cost

The original cost is 100%

Take the new amount and divide it by 130:

117/130 = .90

Then multiply that number by 100 to get the original percent

.90 x 100 = $90

To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117

$90 x 1.30 = $117

7 0

2 years ago