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enot [183]
3 years ago
11

Write an equivalent expression for 48+18x

Mathematics
2 answers:
natulia [17]3 years ago
6 0

Answer:

2(24+9x)

Step-by-step explanation:

joja [24]3 years ago
3 0

Answer:

6(8+3x)

Step-by-step explanation:

48+18x=6(8+3x)

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The sum of two even consecutive integers is 114. What is the smallest integer?
Ainat [17]

Answer:

56

Step-by-step explanation:

The sum of two <em>even</em> consecutive integers is 114.

Let's let the first even integer be 2n, where n is <em>some</em> integer: it doesn't matter what n is, but if we multiply n by 2, we are certainly getting an even number. This is because any integer multiplied by 2 is even.

So, this means that the second number is 2n+2.

Their sum is 114. In other words:

(2n)+(2n+2)=114

Solve for n.

Combine like terms:

4n+2=114

Subtract 2 from both sides:

4n=112

Divide both sides by 4:

n=28

So, n is 28.

This means that the first number is 28(2) or 56.

And the second number is 58.

So, the smallest integer is 56.

And we're done!

8 0
4 years ago
Glenn and helen are playing ping pong. For every 3 points that glenn scores, helen scores 4 points. If Glenn scores 6 points, ho
forsale [732]

Answer:

8

Step-by-step explanation:

If Helen scores 4 for each time Glenn scores 3

4 x 2=8

4 0
3 years ago
Read 2 more answers
What is the surface area of a sphere with radius 2?
VladimirAG [237]

\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies \begin{array}{llll} SA=4\pi (2)^2\implies SA=16\pi \\\\\\ SA\approx 50.27 \end{array}

8 0
3 years ago
The area of a rectangle is expressed as (14r + 21) square feet. If the width of the
lilavasa [31]

Answer:

 L  = 2r  + 3

Step-by-step explanation:

Given parameters:

Area of rectangle  = 14r + 21

Width of the rectangle  = 7ft

Unknown:

Length of the rectangle  = ?

Solution:

If the length of the rectangle is designated as L;

 Area of a rectangle = Length x width

Now insert the parameters:

           14r + 21   = L x 7

            L  = \frac{14r + 21}{7}  

           L  = 2r  + 3

8 0
3 years ago
The diagonals of a kite separate the quadrilateral into four congruent triangles
statuscvo [17]
<span>If the sum of two of the sides congruent to each other are greater than that of the sides opposite them, then no. If however the kite forms a rombus ot square, the diagnoles will form four congruent triangles with the base of both being the line of symmetry.
hope this helps :)</span>
6 0
3 years ago
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