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True [87]
2 years ago
9

Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find

the two Numbers? show working​
Mathematics
1 answer:
olga55 [171]2 years ago
6 0

Answer:

14\text{ and }16

Step-by-step explanation:

Let the smaller number be x. Since they are consecutive even numbers, the larger number can be represented by x+2.

Therefore, we have the following equation:

8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}

Thus, the larger number is x+2=\boxed{16}

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If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?​
madreJ [45]

<u><em>Answer:</em></u>

Her hourly rate is $8.25

<u><em>Explanation:</em></u>

Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week

<u>We know that:</u>

There are 5 school days in a week

<u>We are given that:</u>

She works for 3 hours a day each of those days

<u>Therefore:</u>

Total number of hours worked = hours worked daily * number of days

Total number of hours worked = 3 * 5 = 15 hours in a week

<u>The equation used to calculate Tatianna's earnings is:</u>

Amount she makes in a week = Total number of hours worked * hourly rate

<u>Now, we substitute with the givens to get the hourly rate as follows:</u>

Amount she makes in a week = Total number of hours worked * hourly rate

123.75 = 15 * hourly rate

Hourly rate = $8.25

6 0
3 years ago
Each leg of a 45 45 90 triangle has a length of 6 what is the length of its hypotenuse
Reika [66]
Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:

cross multiply to get:

divide both sides by 45 to get 
x=12
7 0
3 years ago
When a retired police officer passes away, he leaves $325,000 to be divided among his five children and three grandchildren. The
BabaBlast [244]
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8 0
2 years ago
(-17,-5), (15,-13)<br> Slope of the line through each pair of points
Andreyy89
If you have a graph, I’d use it and make curved lines going down to plot the points!
Using -17 ,15
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Hope this helps!
6 0
2 years ago
In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?
kupik [55]

Answer:

There are 5,586,853,480 different ways to select the jury.

Step-by-step explanation:

The order is not important.

For example, if we had sets of 2 elements

Tremaine and Tre'davious would be the same set as Tre'davious and Tremaine. So we use the combinations formula.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

Here we have n = 40, x = 12.

So

C_{40,12} = \frac{40!}{12!(28)!} = 5,586,853,480

There are 5,586,853,480 different ways to select the jury.

3 0
3 years ago
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