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horsena [70]
3 years ago
6

One number is seven less than four times the other number. The sum of the two numbers is 93. Find the numbers.

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

You can write the two equations x = 4y - 7 and x + y = 93; substitute the value of x into the other equation

(4y - 7) + y = 93; combine like terms

5y - 7 = 93; add 7 to both sides

5y = 100; divide both sides by 5

y = 20; substitute this value into the other equation

x + 20 = 93

x = 73

So the numbers are 20 and 73

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13. If the following fractions were converted to decimals, which one would result in a repeating decimal? A. 3/4 B. 1/9 C. 5/11
Vladimir [108]
Hey there!

In order to find if a fraction would result in a repeating decimal, recall that a fraction is a division problem written vertically. All that you have to do is divide the numerator by the denominator. Also, remember that a repeating decimal will result in the same number after the decimal point as long as the calculator can handle. 

3 ÷ 4 = 0.75

1 ÷ 9 = 0.11111111...

5 ÷ 11 = 0.45454545...

3 ÷ 0.42857143...

As you can see, two out of your four answer choices give you a repeating decimal. B gives you a repeated number of "1" while C gives you "45". D doesn't count since there is no pattern of repeated numbers that it follows. 

Both B and C fall into the category of repeating decimal. If you're only able to choose one answer, I would ask your teacher, a parent, or a peer what they think. 

Hope this helped you out! :-)
5 0
3 years ago
A scientist uses a camera to study the stars.
Ugo [173]

Answer:

sure

Step-by-step explanation:

7 0
2 years ago
2x18-5+15%5=32<br><br> Insert parentheses to make each equal true
Colt1911 [192]

Answer:

( 2×8) - [ ( 5 + 15 ) ÷ 5] = 32

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Given equation = 2x18-5+15/5=32

First we multiply first two letters,

then ( 2 × 18) = 36

Now, we add 5 and 15 then divide it by 5,

So, ( 5 + 15 ) ÷ 5 = 20 ÷ 5 = 4

Now we subtract 4 from 36,

Then 36 - 4 = 32

Hence the correct parentheses = ( 2×8) - [ ( 5 + 15 ) ÷ 5] = 32

3 0
3 years ago
Write the equation of a circle with a center at (-1,2) and a radius of 7
Sever21 [200]

Answer:

(x+1)^2+(y-2)^2=49

Step-by-step explanation:

The standard form for the equation of a circle is (x-h)^2+(y-k)^2=r^2 where  r  is the radius, and the center is (h, k).

(h, k) = (-1, 2),  r = 7

(x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49

5 0
3 years ago
Let a = -4.82 and b = 4.35. All of the following statements are true except
kolezko [41]

Answer:

the sum of -4.82 and 4.35 = -0.47

so a is correct

the product of -4.82 and 4.35 = -20.967

so b is incorrect

the quotient of -4.82 and -4.35 is 1.10804597701

the quotient of 4.82 and 4.35 is 1.10804597701

so c is correct

if we subtract 4.35 from -4.82 we get -9.17

so d is incorrect

Hope This Helps!!!

6 0
3 years ago
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