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den301095 [7]
2 years ago
3

A circular flower garden has a radius of 18 feet that has to be mulched. Each bag of mulch covers 24 square feet. How many bags

of mulch are needed?
Mathematics
1 answer:
Sedbober [7]2 years ago
5 0
24 over even this changes is good
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Cody's new car cost $15,200. With a sales tax of 7%, determine the total price of the car.
Paul [167]

Answer:

$16,264

Step-by-step explanation:

.07(15200)=1064

1064+15200(original price)=16264

4 0
2 years ago
Read 2 more answers
How many extraneous solutions does the equation below have? StartFraction 2 m Over 2 m + 3 EndFraction minus StartFraction 2 m O
xeze [42]

Answer:

0

Step-by-step explanation:

We have the fraction \frac{2m}{2m+3} -\frac{2m}{2m-3}

Step 1. Use LCM of the fraction, (2m+3)(2m-3), to simplify the fraction:

\frac{(2m-3)(2m)-(2m+3)(2m)}{(2m+3)(2m-3)} =\frac{2m^2-6m-[2m^2+6m]}{(2m+3)(2m-3)} =\frac{2m^2-6m-2m^2-6m}{(2m+3)(2m-3)} =\frac{-12m}{(2m+3)(2m-3)}

Step 2. Equate the resulting fraction to zero and solve for m:

\frac{-12m}{(2m+3)(2m-3)} =0

-12m=0[(2m+3)(2m-3)]

-12m=0

m=\frac{0}{-12}

m=0

Step 3. Replace the value in the original equation and check if it holds:

\frac{-12m}{(2m+3)(2m-3)} =0

-12m=0

Since m=0,

-12(0)=0

0=0

Since the only solution of the equation holds, the equation bellow doesn't have any extraneous solution

5 0
2 years ago
Read 2 more answers
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s
faltersainse [42]
<h2>Answer</h2>

She will be scoring above 85 after her 7 assessment.

<h2>Explanation</h2>

We can model this situation using a line equation.

We know that on her first assessment, Rita scored 58 points, so our first point is (1, 58)

We also know that on her second assessment, Rita scored 63 points, so our second point is (2, 63)

To find the rate, which is the slope of our line, we are using the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

where

(x_{1},y_{1}) are the coordinates of the first point

(x_{2},y_{2}) are the coordinates of the second point

From our points we can infer that x_{1}=1, y_{1}=58, x_{2}=2, y_{2}=63. Let's replace the values in our slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{63-58}{2-1}

m=\frac{5}{1}

m=5

Now we know that Rita's score is increasing 5 points every assessment.

To complete the equation of our line, we are using the point slope formula:

y-y_{1}=m(x-x_{1})

y-58=5(x-1)

y-58=5x-5

y=5x+53

Finally, we just need to replace y with 85 in our line equation and solve for x to find after which assessment she will score above 85:

85=5x+53

32=5x

x=\frac{32}{5}

x=6.4

Since we can't have 0.4 assessment, she will be scoring above 85 after her 7 assessment.  


3 0
2 years ago
Read 2 more answers
Harry rolls 2 fair dice. Probability of both dice showing a factor of 12
enyata [817]

Answer:

P = 4/9

Step-by-step explanation:

Event A1: The first dice shows a factor of 12. P(A1) = 4/6 = 2/3

Event A2: The second dice shows a factor of 12. P(A2) = 4/6 = 2/3

P (A1*A2)=4/9

5 0
2 years ago
Elizabeth made a scale drawing of her school's basketball court before devising a winning strategy for her team. The dimensions
lesya [120]

Answer:

the answer is 16ft

step-by-step explanation:

in order to make a triangle with non-zero area, the sum of the shorter two sides must be greater than the longest side.

here, 4 + 4 > 7, so the lengths can form a triangle.

The correct answer was given: Brain

7+8= 15

hope this

The correct answer was given: Brain

36 cm is the final : )

4 0
2 years ago
Read 2 more answers
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