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dedylja [7]
2 years ago
14

There is a sidewalk of width x around a rectangular garden. If the garden measures twenty-feet by thirty-feet, then the combined

area of the garden and sidewalk is
Mathematics
1 answer:
prohojiy [21]2 years ago
5 0

Answer:

Area = 200 + 50 + x

Step-by-step explanation:

Given

Length = 20

Width = 30

Side Walk = x

Required

Determine the area.

To do this we need to get the new worth and length by adding the length of the sidewalk.

This gives:

Length = 20 + x.

Width = 30 + x

So, area becomes.

Area = (20 + x)(30 + x)

Area = 600 + 20x + 30x + x²

Area = 200 + 50 + x²

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If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park
Ierofanga [76]
Answer:

2.45

Explanation:

Halfway of 2.4 and 2.5 is 2.45 because .05 is the halfway mark based on the place value.
6 0
2 years ago
Priscilla’s grandmother’s fruit salad recipe calls for one part apple, one part orange, four parts strawberry, two parts cherry,
Kryger [21]
There are 11 parts of fruit: 4-strawberry, 3- grape, 2, cherry, 1- apple, 1-orange

4/11 from the entine quantity of fruits- strawberry
3/11-grapes
2/11- cherries
1/11- apples
1/11- oranges } ⇒ the quantity of oranges and apples are equal

The biggest part of the fruit- 4/11 - are strawberries
4/11>3/11>2/11>1/11
the smallest part of the fruit- apples and oranges
8 0
2 years ago
An arrow is shot vertically upward from a platform 45 feet high at a rate of 168 ft/sec. Use the quadratic function
Maksim231197 [3]

Answer:

5.3 s

Step-by-step explanation:

a) since the height is defined by a function, we can find the turning point of the quadratic , which is where the ball will have the highest point. The turning point is where the gradient is equal to zero so we differentiate first

h(t) = -16t^{2} + 168t + 45\\h'(t)= -32t+168\\0=-32t+168\\t=5.3s

8 0
2 years ago
Read 2 more answers
The distribution of scores on a test is​ mound-shaped and symmetric with a mean score of 78. If​ 68% of the scores fall between
Salsk061 [2.6K]

Answer:

The standard deviation for the distribution of scores is 6.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from mean for a normal data.
  • for this rule almost all the data lies within on tandard deviation from the mean.

68% of the scores fall between 72 and​ 84, thus, we can write:

\mu + \sigma = 84\\\mu - \sigma = 72\\78 - \sigma  = 72\\\Rightarrow \sigma = 6

Thus, the standard deviation for the distribution of scores is 6.

4 0
2 years ago
Jacqueline earned a commission of $200 for one week at work. her commission rate is 12% of the merchandise she sells. how much m
guajiro [1.7K]

For this case, the first thing we must do is define variables.

We have then:

m: original quantity of merchandise sold (in $)

We then have the following idea:

(original amount) (percent) = new amount

The new amount is the amount that Jacqueline earns for 12% of the commission on sales.

We have then:

m (0.12) = 200

Clearing m we have:

m =\frac{200}{0.12}\\m = 1666.7

  Answer:

The equation that solves the problem is:

m (0.12) = 200

The amount she sold is:

m = 1666.7

3 0
2 years ago
Read 2 more answers
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