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2 years ago

3) The sum of two numbers is 17. The difference between five times the first number and three times

Mathematics

1 answer:

Nitella [24]2 years ago

7 0

Answer:

8 and 9.

Step-by-step explanation:

Let the two unknown numbers be a and b.

When added together, they equal 17. In other words:

a + b = 17.

The difference between five times the first number and three times the second number is 13. In other words:

5a - 3b = 13.

We have a system of equations. We can use substitution. From the first equation, we can derive a = 17 - b. Let's substitute this in:

5(17 - b) - 3b = 13

85 - 5b - 3b = 13

-8b = -72

b = 9

a = 17 - b.

a = 17 - 9 = 8.

Thus, the two numbers are 8 and 9.

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a truck is rented at 40$ per day plus a charge per mile use. The truck traveled 15 miles in one day, and the total charge was 11

Alla [95]

Answer:

15x + 40 = 115

We set the equation to 115 because the total cost is $115.

We add the "+ 40" because of the $40 to rent the trailer for the day.

The 15x is because it represents the miles per hour (x) times the number of hours.

The number of hours times the charge per mile, plus the $40 to rent it, will equal $115.

Hope this helps!!

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2 years ago

I need some one to help me!! Is (7, 0) a solution to the equation y = x − 7?

Marianna [84]

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Coordinates (x, y)

Step-by-step explanation:

Step 1: Define

Identify

Point (7, 0)

Equation y = x - 7

Step 2: Find

Substitute in point [Equation]: 0 = 7 - 7
Subtract: 0 = 0

Since 0 = 0 is true, then it would be a solution to the equation.

3 0

2 years ago

The product of 5 and cube of x increased by the difference of 6 and x3?

Vinil7 [7]

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2 years ago

Solve the system of linear equations by elimination. x+6y=28 2x−3y=−19

bekas [8.4K]

The answer is: x = -4 and y = 11/3

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2 years ago

Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic fe

yanalaym [24]

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

$D = 2ft$ -- Diameter

$H = 6ft$ -- Height

Required

Determine the volume

First, calculate the radius (r)

$r = \frac{1}{2}D$

$r = \frac{1}{2}*2ft$

$r = 1ft$

The volume (V) of the tank is:

$V = \pi r^2h$

Substitute values for r and h

$V = 3.14 *1^2*6$

$V = 3.14 *1*6$

$V = 18.84$

Hence, the tank can hold 18.84 cubic feet

4 0

2 years ago