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prisoha [69]
3 years ago
5

Kelly's bill at a restaurant came to $21.52. If

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0
$3.87 for the 18% tip.
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The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?
Ne4ueva [31]

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}

Cross products,

5x = 120

Inverse operations,

x = 24

4 0
3 years ago
Jerry's team has played 8 games of basketball. During those 8 games his team scored 59, 66, 56, 63, 42, 55, 62 and 51. What is t
zavuch27 [327]

Answer:

To calculate the mean of a set of data, you have to work out the sum of the data (in this case, you need to work out the sum of all the points) and divide it by the number of data points there are (in this case, number of games played).

So you have to do:

(67 + 45 + 84 + 55 + 73 + 36 + 80 + 62 + 38)/9 = 60

The mean number of points is 60.

Step-by-step explanation:

please mark as brainiest

8 0
3 years ago
Read 2 more answers
hello I am trying to figure out how much rent I would have to pay if I abated the rent 30%. My rent is $610.
horrorfan [7]
If you were to get 30% backed off, lucky you !
You would then pay only the remaining 70%.

70% means 0.70

0.70 x $610 = <u>$427 </u>
6 0
4 years ago
Find the diameter of a circle with an area of 400cm squared.
Furkat [3]
11.28 cm is the answer to this problem.


3 0
3 years ago
A rectangular vegetable patch has a perimeter of 28 meters and an area of 48 square
aliina [53]

Answer:

Length = 8 meters

Width = 6 meters

Step-by-step explanation:

Given the following information:

Perimeter of a rectangular vegetable patch: 2(L + W) = 28 meters

Area = L × W = 48 m²

We can solve for the dimensions by using both equations.

First, let's use the formula for the perimeter of the rectangular vegetable patch, and isolate one of the given variables:

2(L + W) = 28

Divide both sides by 2:

\frac{2(L + W)}{2} = \frac{28}{2}

L + W = 14

Subtract W from both sides to isolate L:

L + W - W = 14 - W

L = 14 - W

Next, we'll take the formula for the area, and substitute the value for the L from our previous step:

A = 48  =  L × W

48  = W × (14 - W)

Distribute W into the parenthesis:

48 = 14W - W²

Add W² and subtract 14W to both sides:

W² - 14W + 48 = 14W - 14W - W² + W²

W² - 14W + 48 = 0   ⇒ This represents a quadratic equation in standard form. We can use the coefficient and constant values to solve for its roots.

a = 1, b = -14, and c = 48

Substitute these values into the quadratic equation:

x = \frac{-b +/- \sqrt{b^{2}-4ac}}{2a}

x = \frac{14 +/- \sqrt{(-14)^{2}-4(1)(48)}}{2(1)}

x = \frac{14 +/- \sqrt{196-192}}{2}

x = \frac{14 +/- \sqrt{4}}{2}

x = \frac{14 + 2}{2}, x = \frac{14 - 2}{2}

x = 8, x = 6

Now, we can substitute these values into the formulas for the perimeter and area to find the true dimensions of the rectangular vegetable patch.

Perimeter: 2(L + W) = 2(8 + 6) = 28 meters

Area = L × W = 8 × 6  = 48 m²

Therefore, the dimensions of the rectangular vegetable patch are:

Length = 8 meters

Width = 6 meters

Dimensions: 8 × 6 meters.

3 0
3 years ago
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