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yawa3891 [41]
2 years ago
13

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

Mathematics
1 answer:
tangare [24]2 years ago
3 0
The larger number is 51 and the smaller number is 12. ( hope I helped) have a good day
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If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0
3 years ago
Which number represents the solutions to |-2x|=4
posledela

Answer:

2

Step-by-step explanation:

Since there is nothing to solve in the absolute value, take them away and make -2x just 2x. To get x by itself, divide both sides by 2 to get x=2

3 0
2 years ago
Alfonso is 8 years older than Ashley. Five years ago Alfonso was three times as old as Ashley. How old is Ashley now?
Pavel [41]

Answer: 9 years


Step-by-step explanation:

Let the present age of Ashley be x.

Then the present age of Alfonso =x+8

Five years ago,

Ashley's age = x-5

Alfonso's age = x+8-5 = x+3

According to the question,

x+3=3(x-5)\\\Rightarrow\ x+3=3x-15\\\Rightarrow\ 3x-x=3+15\\\Rightarrow\ 2x=18\\\Rightarrow\ x=\frac{18}{2}\\\Rightarrow\ x=9

Hence, the present age of Ashley =9 years

8 0
3 years ago
Read 2 more answers
A recipe whuch makes 8 servings calls for 2 cups if sugar. How many cups if sugae will it takr to make 18 servings
yan [13]
Answer:
4.5 cups of sugar
Explanation:
set up the problem like servings/cups. it would look like 8/2. then add the 18 servings and make it 8/2=18/x so you can cross multiply. cross multiply and you get 8x=36. divide it by 8 and you get x=4.5 cups. hope this helps!
3 0
2 years ago
Bonnie deposits $70.00 into a new savings account. *The account earns 4.5% simple interest per year. * No money is added or remo
Angelina_Jolie [31]

Answer with Step-by-step explanation:

Amount in Bonnie's account initially=$ 70

The formula for simple interest= \dfrac{P\times R\times T}{100}

Where P is the principal amount

R is rate of interest

and T is the time

Here, P=70,R=4.5,T=3

Interest=  \dfrac{70\times 4.5\times 3}{100}

           = $ 9.45

Hence, Total amount in his savings account after 3 years= $(70+9.45)

                                                                                              = $ 79.45

Hence, correct option is:

B. $ 79.45

7 0
3 years ago
Read 2 more answers
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