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3 years ago

When 47 is added to a number the result is 37 less than 7 times the number.

Mathematics

1 answer:

svetoff [14.1K]3 years ago

5 0

X - the number

$x+47=7x-37 \\
x-7x=-37-47 \\
-6x=-84 \\
x=\frac{-84}{-6} \\
x=14$

The number is 14.

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Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years. Set up the two equations that can be used t

KatRina [158]

Answer:

The two equations that can be used to find each of their ages are $x=4 \times y$ and $x+y=60$ .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;

$x=4 \times y$ ----------------- [equation 1]

The <u>second condition</u> states that the sum of their ages is 60 years, that means;

$x+y=60$

$4y + y = 60$ {using equation 1}

$5y=60$

$y=\frac{60}{5}$

y = 12 years

Now, putting the value of y in equation 1 we get;

$x=4 \times y$

$x= 4 \times 12$ = 48 years

Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.

8 0

3 years ago

For his phone service, Ivan pays a monthly fee of $14, and he pays an additional $0.05 per minute of use. The least he has been

Tomtit [17]

Answer:

1215 minutes are the possible numbers he has used his phone in a month.

Step-by-step explanation:

He has a monthly fee of 14$ then to the least that he has been charged we need to substract the monthly fee as follows:

Monthly charged = 74,75-14

Monthly charged= 60,75$

Then he pays an additional 0,05 $/minute of use, to know the consume:

Minutes= $\frac{60,75}{0,05}$

Minutes= 1215 possible numbers of minutes he has used his phone.

8 0

3 years ago

Lesson 2-3

malfutka [58]

Answer:

18. g= -3

19. x= -1

20. n= 3

21. p= -1

22. d= -3

23. a= 5

Step-by-step explanation:

how to solve the variable (using 18 as an example)

step 1: simplify both sides of the equation.

20+g+g=14

(g+g)+(20)=14(combine like terms)

2g+20=14

step 2: subtract 20 from both sides.

2g+20−20=14−20

2g=−6

step 3: divide both sides by 2.

2g/2 = -6/2

6 0

3 years ago

Select the statement that correctly describes the expression below

Kitty [74]

Answer:

Step-by-step explanation:

The equation is (2x+5)^2.

It can't be A because 2 is the multiplier for only x.

It can't be C because the square is outside of the equation.

It can't be D because again, the square is outside of the equation.

So the only thing left is B.

Hope this helped!

7 0

3 years ago

Help me with this :)))))))

lora16 [44]

Answer:

QR= 16

Step-by-step explanation:

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3 years ago