MATHEMATICS HIGH SCHOOL

One number is six times another number. Their difference is 35. What are the two numbers?

Answers

Answer 1

Answer:

Answer:

The two numbers are: 42 and 7

Step-by-step explanation:

let x be the one number and y be the other number..

As per the statement:

One number is six times another number. Their difference is 35.

⇒ $x = 6y$ .....[1]

and

$x -y = 35$ .....[2]

Substitute equation [1] into [2] we get;

$6y-y = 35$

Combine like terms;

$5y = 35$

Divide both sides by 5 we get;

y = 7

Substitute the value of y =7 in [1] we get;

$x = 6(7) = 42$

Therefore, the two numbers are: 42 and 7

Answer 2

Answer: 7x6=42. 7+35=42. The numbers are 7 and 42.

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Khloe is thinking of a number that is 2 times the value of Carl's number. Khloe's number is also 2 more than 4 times the value of Carl's number. What is Khloe's number?

Answers

lets x is Carl's number
Khloe is thinking of a number that is 2 times the value of Carl's number = 2x

Khloe's number is also 2 more than 4 times the value of Carl's number: 4x + 2

4x + 2 = 2x
2x = -2
x = -1

Carl's number = -1
Khloe's number = 2(-1) = -2

double check:

4x + 2 = 4(-1) + 2 = -2

answer: Khloe's number is -2

Answer:

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Step-by-step explanation:

)) A triangle has sides with lengths of 5 inches, 12 inches, and 13 inches. Is it a righttriangle?
yes
no

Answers

Answer:Yes

Step-by-step explanation:

Given

Triangle has sides

length $a=5\ in.$

$b=12\ in.$

$c=13\ in.$

If the triangle is Right angled then it must satisfy the Pythagoras rule

$(\text{Perpendicular})^2+(\text{base})^2=(\text{Hypotenuse})^2$

$(a)^2+(b)^2=(c)^2$

$5^2+12^2=13^2$

$25+144=13^2$

$169=13^2$

$13^2=13^2$

Therefore The given triangle is right angled

My dad has 8 oak and maple boards from the lumber yard. Each oak board is 9 centimeters thick. Each maple board is 6 centimeters thick. When my dad stacks the boards, the stack is 60 centimeters thick. How many of each type of board does he have_Oak boards
_Maple boards

Answers

he has 4 oaks because each oak is 9 cm and 9*4=36
and he has 4 maple because the maple is 6 cm and 6*4= 24 and 24+36=60
so he as 4 of each
if i am wrong i am sorry

HELP! 10 POINTS!! :((

Answers

Answer below.

1. 2

2. 17

3. 16

4. 4

5. 2

6. 8

7. 8

8. 10

The answer is 6 hope this helps

A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?

Answers

The volume of the cylinder 1,570 square meter. This is calculated using the formula volume is equal to height times Pi times radius squared. We first solve the radius which is 5 meters times 4 equals to 20 meters, this is the diameter of cylinder. But we need the radius, so 20 meters divided by 2 is equals to 10. Then substituting the given figure to the formula, Volume = 5 (3.14) (10), it will give us 1,570 square meter.

Help me with this question i don’t understand what to do

Answers

Answer:

- 36

Step-by-step explanation:

First evaluate g(18), then substitute the value obtained into h(x), then substitute the value obtained here into f(x).

g(18) = $√(2(18))$ = $√(36)$ = 6, then

h(6) = | 4(6) | - 12 = | 24 | - 12 = 24 - 12 = 12, then

f(12) = - 3(12) = - 36

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What is the area of the triangle bounded by the line 3x+2y=12 and the x- and y- axes?

BRAINLISTTTT!!!!Match each system of equations with its number of solutions