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2 years ago

joseph saves 30% of his allowace each week. if he saves 24$ in 5 weeks. how much allowance does joseph recieve in each week

Mathematics

1 answer:

creativ13 [48]2 years ago

5 0

Answer:

$24/5 weeks = $4.80 saved per week.

$4.80 is 30% of what number?.....

4.8=0.3*X....... 4.8/0.3=X ........X=16

So, Joseph receives $16 per week.

Step-by-step explanation:

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3 years ago

Read 2 more answers

When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, the

arsen [322]

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben = B

let the hourly rate of pay for Judy = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

2J + 6B = 120 --- ii

Now, we should solve the expression;

Multiply equation ii by 2 and equation i by 1;

4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii

2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv

Now,

equation iv - iii;

11B = 165

B = $15

So, solving for J;

4J + B = 75

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3 0

3 years ago

Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

3 years ago