2 years ago

Steven earns extra money babysitting. he charges $20.25 for 3 hours and $40.50 for 6 hours.

Mathematics

1 answer:

il63 [147K]2 years ago

6 0

Y=6.75x
He charges $6.75 per hour

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3 years ago

1. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 π inches. One day, her sink clogge

Anettt [7]

Answer:

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4. The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

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3 years ago

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

salantis [7]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

${:}\longrightarrow$ $\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}$

${:}\longrightarrow$ $\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}$

${:}\longrightarrow$ $\sf 8 (3x)=5×3$

${:}\longrightarrow$ $\sf 24x=15$

${:}\longrightarrow$ $\sf x={\dfrac{24}{15}}$

${:}\longrightarrow$ $\sf x=1.6$

$\therefore$ Nichol runs 1.6miles .

4 0

3 years ago