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3 years ago

The sum of a number, n, and 8 is multiplied by -4, and the result is 12. What is the number?

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer: -11

Step-by-step explanation:

(n+8)* -4= 12

-8 -8

n* -4= 12

/-4 /-4

n= -11

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In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S ) Counselors : Students is 4 : 57

( T: C ) Teachers : Counselors is 3 : 5

To determine the ratio of - Students : Counselors : Teachers

Here given - C : S = 4 : 57

Multiplying both sides by 5, we get

C: S = 4 x 5 : 57 x 5 = 20 : 285

So, for every 20 counselors, there are 285 students ...... (1)

Similarly, given Teachers : Counselors is 3 : 5

Multiplying both sides by 4, we get

T : C = 3 x 4 : 5 x 4 = 12 : 20

So, for every 12 teachers, there are 20 Counselors ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S = 20 : 285 and T : C = 12: 20

Inverting the values

⇒ S : C = 285 : 20 and C : T = 20 : 12

or, S : C : T = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

4 0

3 years ago

the measurements of a photo and it's frame are shown in the diagram. Write a polynomial that represents the width of the photo.

suter [353]

Answer:

The width of the photo is $4w^2+6w+4$ .

Step-by-step explanation:

From the given figure it is notices that the total width of the frame is

$6w^2+8$

The photo is covered by a frame border and the width of the border is

$w^2-3w+2$

To find the width of the photo we have to subtract the width of upper frame border and lower frame border from the total width of frame.

Width of the photo is

$\text{Width of the photo}=\text{Width of the frame}-2(\text{Width of the frame border})$

$\text{Width of the photo}=6w^2+8-2(w^2-3w+2)$

$\text{Width of the photo}=6w^2+8-2w^2+6w-4$

$\text{Width of the photo}=4w^2+6w+4$

Therefore the width of the photo is $4w^2+6w+4$ .

4 0

3 years ago

The heights of the members of a high school class

sergey [27]

Answer:

the average height is between 65 and 72 inches

Step-by-step explanation:

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