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kirill115 [55]
3 years ago
9

One number exceeds another by 15. the sum of the numbers is 69. what are the numbers

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Hey there!!

Let us take the first number as ' x '

According to the question

The second number exceeds the first number by 15

hence, the second number = x+15

The sum of both the numbers = 69

which means

x + x + 15 = 69

2x+15 = 69

Subtracting by 15 on both sides

2x + 15 - 15 = 69 - 15

2x = 54

dividing by  2 on both sides

x = 27

first number = 27

second number = 27 + 15

= 42

Hope my answer helps!

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8_murik_8 [283]
You have 2 triangles and 3 rectangles. 
Start with a triangle:
area is base side * height / 2 ->  4 * 3 / 2 = 6
The other triangle has the same area: 6

First rectangle: side * other side -> 7 * 5 = 35
Second rectangle: 7 * 4 = 28
Third rectangle: 7 * 3 = 21

Now simply add all this together: 6+6+35+28+21 = 96

5 0
3 years ago
Gas station X charges $4.00 per gallon of gas. Gas station Y charges $4.12 per gallon of gas. What is the percent increase from
kirill [66]
First, find the increase in charge between the two station. That is:

$4.12-$4.00=$0.12

Then, divide the increase by the price charged by Gas Station X.

$0.12/$4.00=0.03

Lastly, since it is a decimal, transform it to percentage by multiplying 100%

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3 0
3 years ago
Y= - 2x + 4<br> 2x + y = 4
Tomtit [17]

Answer:

Infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -2x + 4

2x + y = 4

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  2x + (-2x + 4) = 4
  2. Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

7 0
2 years ago
Read 2 more answers
Please help
earnstyle [38]

Please consider the graph of the sphere.

We know that the volume of sphere is equal to \frac{4}{3}\pi r^3, where r represents radius of sphere.

We can see that diameter of sphere is 30 inches. We know that radius is half the diameter, so radius of the given sphere would be half of 30 inches that is \frac{30}{2}=15 inches.

V=\frac{4}{3}\pi r^3

V=\frac{4}{3}\pi (15\text{ in})^3

V=\frac{4}{3}\pi \times 3375\text{ in}^3

V=4\times 1125\pi \text{ in}^3

V=4500\pi \text{ in}^3

Therefore, the volume of the given sphere is 4500\pi\text{ in}^3 and option B is the correct choice.

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3 years ago
What cross section shape is formed when the figure is cut as shown?
kirza4 [7]

Answer:

Triangle

Step-by-step explanation:

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