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juin [17]
3 years ago
12

How do you solve this step by step? “ I’m thinking of a number. If you multiply it by 6 and then add 7, you will get 55. What is

my number?”
Mathematics
2 answers:
Julli [10]3 years ago
7 0

Answer:

\large \boxed{8}

Step-by-step explanation:

        Let x = your number

   Then 6x = your number multiplied by 6

and 6x + 7 = 7 added to that number

\begin{array}{rcrl}6x + 7 & = & 55 & \\6x & = & 48 & \text{Subtracted 7 from each side}\\x & = & \mathbf{8} & \text{Divided each side by 6}\\\end{array}\\\text{Your number is $\large \boxed{\mathbf{8}}$}

Check:

\begin{array}{rcl}6(8) + 7 & = & 55\\48 + 7 & = & 55\\55 & = & 55\\\end{array}

OK.

lozanna [386]3 years ago
5 0

Answer:

8

Step-by-step explanation:

55 -7 = 48

48/6= 8

Check answer:

8x6= 48

48+7= 55

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When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, the
arsen [322]

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben  = B

let the hourly rate of pay for Judy  = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

              4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

               2J + 6B  = 120 --- ii

Now, we should solve the expression;

   Multiply equation ii by 2 and equation i by 1;

 

            4J + B = 75 ----- i    x 1  ;    4J + B  = 75          -- iii

            2J + 6B  = 120 --- ii  x 2 ;   4J + 12B  = 240    ---iv

Now,

 equation iv - iii;

                   11B  = 165

                      B  = $15

So, solving for J;

          4J + B = 75

         4J + 15  = 75

          4J  = 75 - 15  = 60

          J  = $15

3 0
3 years ago
Use ratio language to describe the relationship between 2 dogs and 1 cat
Andrei [34K]
2:1 is the ratio

- Rach :)
5 0
2 years ago
A fully inflated basketball has a radius of 12
valentinak56 [21]

The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.

<h3>How to get the volume of a sphere?</h3>

The volume of air that we need is equal to the volume of the basketball.

Remember that for a sphere of radius R, the volume is:

V = (4/3)*3.14*R^3

In this case, the radius is 12cm, replacing that we get:

V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3

Then, to fully inflate the ball, we need  7,234.56 cm^3 of air.

If you want to learn more about spheres, you can read:

brainly.com/question/10171109

7 0
2 years ago
HELP PLEASE ! TRUE OR FALSE ?!
miss Akunina [59]
This is false because on 2) x does not equal 3. 
8 0
3 years ago
X to the power of 2 subtract 3x for x=4
Helen [10]
First, X^2 while x is 4 =4^2, which is 4x4, which is 16 
3X while x is 4 is 12. 16-12=4. So the answer is 4
6 0
2 years ago
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