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S_A_V [24]
4 years ago
10

Natalie wants to grow it 4 in. Longer than it is now. She knows that hair grows at an average rate of 15 cm/year. How many more

months will she wait to have her hair cut? (1 cm ≈ 0.39 in.) Question 1 First, you will need to convert the rate of 15 cm/year to inches per month. Which two conversion factors should you use? Select all correct answers.
Mathematics
1 answer:
Alexxandr [17]4 years ago
5 0

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

\Rightarrow R=\frac{15}{12} cm/month

As 1 cm ≈ 0.39 in.,

\Rightarrow R= \frac{15}{12}\times 0.39=0.4875 inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

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A tennis racket normally costs $85. The tennis racket is on sale for 60% off. What is the sale price of the tennis racket?
Leona [35]

60/100 = 0.6

0.6 * 85 = 51

85 - 51 = 34

It is on sale for $34.

4 0
3 years ago
Read 2 more answers
Solve the INEQUALITY.<br> 7(x + 9) − 6(x + 4) ≥ 37
oee [108]

Answer:

x ≥ -2

Step-by-step explanation:

4 0
4 years ago
Which is an equation of a direct proportion
Over [174]
K = y/x OR y = kx

hope it helps!
6 0
3 years ago
Write an equation for the perpendicular bisector of the line segment joining the two points.
Leona [35]
Points (1, 7)  and  (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

The slope for the line joining the two points =  (2 - 7) / (-3 - 1) = -5/-4

Slope = 5/4

Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5

By condition of perpendicularity

For points (1, 7)  and  (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7)  and  (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation  y - y₁ = m (x - x₁)

                y - 9/2 = (-4/5) (x - -1)
           
                y - 9/2 = (-4/5)(x + 1)

               5(y - 9/2) = -4(x + 1)

               5y - 45/2 = -4x - 4

                 5y =  -4x - 4 + 45/2
           
                5y + 4x = 45/2 - 4

                  5y + 4x = 22  1/2  - 4 =  18 1/2

                  5y + 4x =  37/2

                  10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37
7 0
4 years ago
Distribute -9 (-4+8) please and thank you
qaws [65]

Answer:

36-72

Step-by-step explanation:

all you do is multiply the -9 by the numbers in the parenthesis. If you are multiplying two negatives or two positives then the outcome if positive.  If you multiply a positive and a negative the outcome is negative.

5 0
3 years ago
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