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lidiya [134]
3 years ago
9

the larger of two numbers is 7 less than three times the smaller number. if the sum of the numbers is 61, find the numbers

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Let X = the large #

    Y = the small #

We have 2 unknowns, therefore we need 2 equations to solve for them:

    X + Y = 61

    X = 3Y - 7

Using the substitution method we get:

    X + Y = 61                original equation

   (3Y - 7) + Y = 61        substituting for X

    4Y - 7 = 61                combine like terms

    4Y - 7 + 7 = 61 + 7    add 7 to both sides

    4Y = 68                     simplify

    4Y/4 = 68/4               divide both sides by 4

    Y = 17                       solve for Y

    X + Y = 61                 original equation

    X + 17 = 61                replace Y with 17

    X + 17 - 17 = 61 - 17  subtract 17 from both sides

    X = 44                        solve for X

Check your answer:

       X + Y = 61          X = 3Y - 7

     44 + 17 = 61        44 = 3(17) - 7

     61 = 61  check!     44 = 51 - 7

                                 44 = 44  check!

Therefore, the larger #(X) = 44 and the smaller #(Y)= 17.

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chubhunter [2.5K]

Given:

The perimeter of a rhombus of side d cm  is

p=4d

To find:

The perimeter of a rhombus of  side 3.2 cm.

Find the length of a side of a rhombus  of perimeter 14 cm.

Solution:

Side of a rhombus is 3.2 cm. So, its perimeter is

p=4(3.2)

p=12.8

Therefore, the perimeter of a rhombus of  side 3.2 cm is 12.8 cm.

The perimeter of another rhombus is 14 cm, and we need find its side.

p=4d

14=4d

Divide both sides by 4.

\dfrac{14}{4}=d

3.5=d

Therefore, the length of a side of a rhombus  of perimeter 14 cm is 3.5 cm.

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3 years ago
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FrozenT [24]

Answer:

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Step-by-step explanation:

Think of percents like fractions. 25% is 1/4 in fraction form. Then multiply 1/4 to 12, which is the same is as 12 divided by 4. And your answer is 3

8 0
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Aleks04 [339]

When two lines intersect each other then the vertically opposite angles are equal. Then the correct option is A.

<h3>What is an angle?</h3>

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

The diagram is shown.

We know that when two lines intersect each other then the vertically opposite angles are equal.

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Answer:

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Step 2: write 1st one out.

(8*10000)

Step 3: multiply

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________________-

Step 1: multiply

10*10=100*10=1000*10=10000*10=100000*10=1000000*10=10000000*10=100000000*10=1000000000*10=10000000000*10=100000000000*10=1000000000000

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step 3: write it out

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Step-by-step explanation:

so your answer is

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