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Y_Kistochka [10]
2 years ago
6

A barber shop produces 96 haircuts a day. each barber in the shop works 8 hours per day and produces the same number of haircuts

per hour. if the shop's productivity is 2 haircuts per hour of labor, then how many barbers does the shop employ?
Mathematics
1 answer:
Finger [1]2 years ago
7 0
We know that
A barber shop produces 96 haircuts a day----------> <span>8 hours per day
so
96/8--------> 12 haircuts per hour

if </span><span>if the shop's productivity is 2 haircuts per hour of labor
then
12/2---------> 6 </span><span>barbers

the answer is
6 </span><span>barbers</span>
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The measure of ∠1 =<br><br> 55<br> 62.5<br> 110
elena-s [515]
360 - 250 = 110
m<1 = 110/2 = 55

answer
55
8 0
2 years ago
Read 2 more answers
The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0
2 years ago
#6) Beth saved a total of $30 per month for her first car. Beth saved
cluponka [151]

Answer:

1) The domain In interval notation is [0, 20]

2) The range in interval notation is [100, 700]

Step-by-step explanation:

The given parameters are;

The amount Beth saved per month = $30

The number of months Beth saved = 20 months

The amount with which Beth opened her account = $100

Therefore, the amount of money Beth saved with respect to time is given as follows;

Y = $100 + $30 × X

Where;

Y = The amount of money Beth saved

X = The time (number of months) Beth saved

The domain is given as follows;

\{X | \ 0 \leq X \leq 20 \}

The domain in interval notation is [0, 20]

For the range, when X = 0, Y = $100

When X = 20, Y = $100 + $30 × 20 = $700

Therefore, the range is given as follows;

\{Y | \ 100 \leq Y \leq 700 \}

Which the range in interval notation is [100, 700].

6 0
2 years ago
Use the function below to find F(3).<br> F(x) = 3x
Vikki [24]

The value of F(3) = 27.

Step-by-step explanation:

Step 1:

F(x) is dependent on the value of x.

So x is independent while F(x) is dependent on x i.e. the value of F(x) depends on the value of x.

Step 2:

F(x) = 3^{x}, if we have the x's value we can calculate the F(x)'s value.

Here the value of x is given as 3 so F(x) when x equals 3 can be calculated.

F(x) = 3^{x} , F(3) = 3^{3} = 27.

So F(3) = 27.

7 0
2 years ago
The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region.
Andre45 [30]

Options:

A. Both the Highlands and the Lowlands data points are evenly distributed around the center.

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

C. The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.

D. The Highlands data points are clustered toward the left of the plot, while the Lowlands data points are evenly distributed.

Answer:

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

Step-by-step Explanation:

From the dot plots displaying rainfall totals for highland and lowland areas as shown in the diagram attached below, we can clearly observe that most of the dots on the plot tend to be more concentrated towards the left of the plot, compared to the concentration of dots toward the right of the plot.

Invariably, we can infer that data points for lowlands and Highlands are clustered toward the left of the plot.

Therefore, the statement that is true, comparing the shapes of the dot plot is B. "Both the Highlands and the Lowlands data points are clustered toward the left of the plot."

7 0
2 years ago
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