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Akimi4 [234]
3 years ago
10

Carey is raking leaves. She can rake 200 square yards in 40 minutes. What is her rate of raking?

Mathematics
2 answers:
Yakvenalex [24]3 years ago
5 0

Answer: 5 square yards every min

Step-by-step explanation:

We know that Carey can rake 200 square yards in 40 minutes so we need to figure out how much she can rake in one minute.

40 mins = 200 square yards

So in 1 min:

200/ 40 => 5

so basically she can rake 5 square yards every min.

Studentka2010 [4]3 years ago
3 0

Answer:

5 Square yards/min

Step-by-step explanation:

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a triangle has a perimeter of 49 inches. the medium side is 7 more than the short side, and the longest side is 5 times the leng
slavikrds [6]
Short side length = x
Medium side = x + 7
Long side = 5x
Total 49, so
x + x + 7 + 5x = 49
If you combine like terms:
7x + 7 = 49
Subtract 7 from both sides
7x = 42
Divide both sides by 7
x = 6 inches
4 0
3 years ago
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Four friends share 5 pizzas equally, how much pizza did each friend get?
yarga [219]

Answer:

1 1/4 or 5/4

Step-by-step explanation:

Divide 5 by 4

5 0
3 years ago
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Find the solutions to the system of equations. Select all that apply. Y=x^2-1 y=2x-2
Sliva [168]

Answer:

Option C (1, 0)

Step-by-step explanation:

We have a system with the following equations:

y = x ^ 2-1\\\\y = 2x-2

The first equation is a parabola.

The second equation is a straight line

To solve the system, substitute the second equation in the first and solve for x.

2x-2 = x ^ 2 -1

Simplify

x ^ 2-2x + 1 = 0

You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.

These numbers are -1 and -1

Therefore

x ^ 2-2x + 1= (x-1)(x-1)\\\\x ^ 2-2x + 1= (x-1)^2=0

Finally the solutions are

x = 1\\y =0

8 0
3 years ago
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Use the Properties of Equality to solve each equation.
castortr0y [4]
The answer is -25

All you have to do is add -6-9 which equals -25 because “same signs add(+) and keep” “different signs subtract(-)” but “add” means positive number and “subtract” means negative number. Since they are different signs a (+) and a (-) you subtract it.

Hope this helps!
6 0
1 year ago
△klm, lm=20 sqrt 3 m∠k=105°, m∠m=30° find: kl and km
Anarel [89]

Answer:

KL =  \frac{20\sqrt{6}}{1+\sqrt{3}} = 17.93

MK =  \frac{40\sqrt{3}}{1+\sqrt{3}} = 25.36


Explanation:

According to the Law of Sines:

\frac{a}{sinA}=\frac{b}{sinB}= \frac{c}{sinC}

where:

A, B, and C are angles

a, b, and c are the sides opposite to the angles


First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore

m∠K + m∠L + m∠M = 180°

m∠L = 180° - m∠K - m∠M

m∠L = 180° - 105° - 30°

m∠L = 45°


Now, we can apply the Law of Sines to our case (see picture attached):

\frac{LM}{sinK}=\frac{MK}{sinL}=\frac{KL}{sinM}


Let's solve one side at the time:

\frac{LM}{sinK}=\frac{MK}{sinL}

\frac{20\sqrt{3}}{sin(105)}=\frac{MK}{sin(45)}

MK = \frac{20\sqrt{3} }{sin(105)} \cdot sin(45)

MK = \frac{40\sqrt{3} }{1+\sqrt{3} } = 25.36


Similarily:

\frac{LM}{sinK}=\frac{KL}{sinM}

\frac{20\sqrt{3}}{sin(105)}=\frac{KL}{sin(30)}

KL = \frac{20\sqrt{3} }{sin(105)} \cdot sin(30)

KL = \frac{20\sqrt{6}}{1+\sqrt{3}} = 17.93

8 0
3 years ago
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