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2 years ago

Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $6. On

Mathematics

1 answer:

abruzzese [7]2 years ago

7 0

Answer:

Rob has saved $24.

Step-by-step explanation:

The first thing I noticed was that Rob only saved some of the money he earned. That means only x% only gets saved. To find x, I simply divided 6 by 14 and got 0.42857142857. Then to find the amount he saved from earning $56, I multiplied that number with 56 and got 24.

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Can someone help me please? Am I right or no?

Juliette [100K]

The figure consists of three objects, a rectangle, a trapezoid, a triangle

Find the area of the rectangle
The rectangle is 16 in long and 9 in wide
a₁ = l × w
a₁ = 16 × 9
a₁ = 144 in²

Find the area of the trapezoid
The base of trapezoid is 31 in and 16 in, and the height is 35 - 20 = 15 in.
a₂ = 1/2 × (a + b) × h
a₂ = 1/2 × (31 + 16) × 15
a₂ = 1/2 × 47 × 15
a₂ = 352.5 in²

Find the area of the triangle
The base of the triangle is 31 in, the height is 20 in
a₃ = 1/2 × b × h
a₃ = 1/2 × 31 × 20
a₃ = 310 in²

Add the area together
a = a₁ + a₂ + a₃
a = 144 + 352.5 + 310
a = 806.5

The answer is 806.5 in²

4 0

2 years ago

A sweater is marked down from $25 to $18. What is the percent of change

zhenek [66]

Answer:

28 percent off is the answer :)

Step-by-step explanation:

5 0

2 years ago

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What is the range of the values shown on the table? What does the range represent?

hjlf

Answer:

Option D)R: {0 ≤ y ≤ 360}; The range represents the number of miles the car can travel

Step-by-step explanation:

The table in the attached figure

Let

x -----> the amount of gas used in gallons (independent variable)

y ----> the number of miles the car can travel (dependent variable)

In this problem

The domain is the interval -----> [0,12]

$0\ gal \leq x \leq 12\ gal$

The range is the interval ----> [0,360]

$0\ miles \leq y \leq 360\ miles$

3 0

3 years ago

One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which

anzhelika [568]

First recognize that the unit rate we're finding is gallons per hour, or $\frac{g}{h}$ .

rate for Tank 1 = x gallons per hour = a gallons / b hours

$T_{1}=\frac{\frac{5}{8}}{\frac{7}{10}}\\\\T_{1}=\frac{5}{8}*\frac{10}{7}\\\\T_{1}=\frac{50}{56}\\\\\\Fill\ rate\ of\ Tank\ 1=\frac{25}{28}$

rate for Tank 2 = y gallons per hour = c gallons / d hours

$T_{2}=\frac{\frac{5}{9}}{\frac{2}{3}}\\\\T_{2}=\frac{5}{9}*\frac{3}{2}\\\\T_{2}=\frac{15}{18}\\\\T_{2}=\frac{15}{18}\\\\\\Fill\ rate\ of\ Tank\ 2=\frac{5}{6}$

3 0

3 years ago

Two customers took out home equity loans. • Cathy took out a 10-year loan for $20,000 and paid 5.20% annual simple interest • St

ratelena [41]

Answer: B) $4,000

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering Cathy's loan,

P = $20,000

R = 5.2%

T = 10 years

I = (20000 × 5.2 × 10)/100

I = $10400

Considering Steven's loan,

P = $20,000

R = 4.8%

T = 15 years

I = (20000 × 4.8 × 15)/100

I = $14400

The difference between the amounts of interest Cathy and Steven paid for their loans is

14400 - 10400 = $4000

4 0

3 years ago

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