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liraira [26]
3 years ago
10

Jessica finished a race that was 5 miles long in 30 minutes and 15 seconds. Casey finished a race that was 2 miles log in 11 min

utes and 8 seconds. Who has the faster rate? Explain your reasoning.
Mathematics
1 answer:
poizon [28]3 years ago
3 0

Answer:

Casy

Step by step explanation:

You divide the miles by their time

It took Jessica 6 minutes and .03 seconds to finish a mile

It took Casy 5 minutes and 54 seconds to finish a mile

Casy is .09 Seconds quicker than Jessica

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A sales person is paid a weekly salary of $760, plus a commission of 7.5% of all her sales for the week. Express her weekly inco
Elis [28]

Answer:

1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.

So, if we say that y is her weekly income and x is her weekly sales, we can write this as:

y = 760 + 0.075x

Note that we had to change percentage to decimal number dividing it by 100.

2  Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.

Since this is a function, it can also be written as:

f(x) = 760 + 0.075x

3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).

All this means that appropriate domain for this function are positive real numbers including 0.

6 0
3 years ago
Point E is between points D and F and DE=27 and EF =34.
asambeis [7]
If e is between them, then the distances DE and EF add to the total, DF. So the answer is just 27 + 34 which is 61, A

4 0
3 years ago
Pleasee helppp it’s due todayyy
slava [35]

Answer:

88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.

Step-by-step explanation:

8 0
3 years ago
Find the measures of the interior angles of the triangle.
jeka94

Answer:

∠A = 30°

∠B = 60°

∠C= 90°

Step-by-step explanation:

This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.

Knowing that, you now know <em>∠C is 90°</em>

Now, to find ∠B, you should use the following equation:

  • A+B+C = 180°

This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:

Fill the values of the equation with the angles you now know:

  • 30° + B + 90° = 180

Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:

  • B = 180° - 30° - 90°

<em>B = 60</em>

<em>Hope it helps!!</em>

3 0
3 years ago
Eva makes a few dozen cupcakes and sells them for $8 a dozen. Which function represents the relationship between the money Eva e
d1i1m1o1n [39]
The answer   is f(m) = c x 8
8 0
3 years ago
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