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2 years ago

The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers

Mathematics

1 answer:

Inga [223]2 years ago

6 0

Answer:

(x,y): (6 , -3) or (-30/7 , 33/7)

Step-by-step explanation:

6x + 8y = 12

x = y + 9 or y = x+ 9

if x = y+9

6*(y+9) + 8y = 12

14y = -42

y = -3 and x = 6

if y = x+9

6x + 8*(x+9) = 12

14x = -60

x = -30/7 and y = 33/7

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Which statement best explains the value of 16 − (−3)?

amm1812

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

8 0

3 years ago

The diameter of a circle is 10 ft. Find the circumference to the nearest tenth to the nearest tenth. (Urgent)

Paul [167]

Answer:

31.42ft

Step-by-step explanation:

diameter = 10

radius = diameter ÷ 2

r = 10 ÷ 2

r= 5

Circumference = 2(pie)(r)

= 2(22÷7)(5)

= 31.42ft

6 0

2 years ago

Read 2 more answers

Abdul is creating a cushion that is 1 foot by 2 feet by 3 feet. He wants to find the least amount of fabric he will need to cove

netineya [11]

Answer:

The least amount of fabric are 22 square feet

Step-by-step explanation:

we know that

The surface area of a rectangular prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Let

L ---> the length pf the prism

W ---> the width of the prism

H ---> is the height of the prism

Let

$L=2\ ft\\W=3\ ft\\H=1\ ft$

Find the area of the base

$B=LW=(2)(3)=6\ ft^2$

Find the perimeter of the base

$P=2(L+W)=2(2+3)=10\ ft$

Find the surface area

$SA=2(6)+10(1)=22\ ft^2$

therefore

The least amount of fabric are 22 square feet

7 0

2 years ago

Read 2 more answers

Find the 64th term of the following arithmetic sequence.<br><br> 17, 26, 35, 44, ...

goblinko [34]

take the difference

26-17=9

35-26=9

the first term is 17

and the nth term is 64

use the formula

tn=a+(n-1) d

let a be 17

let n be 64

let d be 9

then you substitute

t64=17+(64-1)9

=17+(63)9

=17+567

=584

so the 64th term is 584.

8 0

3 years ago

Describe the change int he radius of a circle when the area is multiplied by 1/4.

Marianna [84]

I think the correct answer is C. Since a=πr², in order to get the area to become 1/4 of what it was previously, the radius needs to be cut in half to make the divide that side by 4. a=π(r/2)²=πr²/4 and will therefore multiply the area by 1/4.

4 0

2 years ago