At a summer camp,the ratio of campers to adults is kept equivalent to 7:1 use equivalent ratios to complete the table

Answers

Answer 1
Answer:

The tabular representation of the ratio of campers to adults in the summer camp is given as follows -

CAMPERS :  7          14        21          28      . . . .    7n

ADULTS :     1           2          3           4        . . . .     n

We have a summer camp in which the ratio of campers to adults is kept equivalent to 7:1 .

We have to complete the table using the equivalent ratios.

How can you find out the equivalent ratios of the ratio a : b ?

To find the equivalent ratios of a : b, follow the simple rule -

a:b=(a)/(b)=(a*2)/(b*2) =(a*3)/(b*3) =(a*4)/(b*4)  = ... =(a* n)/(b* n)

In the question given -

a:b=(7)/(1)=(7*2)/(1*2) =(7*3)/(1*3) =(7*4)/(1*4)  = ... =(7* n)/(n* n)

Hence, we can write the equivalent ratios in the form of tables -

CAMPERS :  7          14        21          28      . . . .    7n

ADULTS :     1           2          3           4        . . . .     n

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Answer 2
Answer:

Answer:

Campers: 7, 14, 28, 42

Adults: 1,2,5,30

Step-by-step explanation:


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John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink.A. 3d + $14.00 – $7.00 = $12.10; $1.90

B. 3d – $14.00 + $7.00 = $12.10; $9.55

C. 3d + $14.00 – $7.00 = $12.10; $1.70

D. 2d + $14.00 – $7.00 = $12.10; $2.55

Answers

Answer:

The equation to model this situation is  3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .

Option (C) is correct .

Step-by-step explanation:

As given

John and 2 friends are going out for pizza for lunch.

They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10.

let us assume that the numbers of large drinks are represented by d .

Than the equation becomes

Total money spend = Number of drinks × d + Pizza cost  - Gift certificate amount .

Putting all the values in the above

12.10 = 3d + 14.00 - 7.00

Simplify the aboves

12.10 = 3d + 14 - 7

12.10 = 3d + 7

12.10 - 7 = 3d

5.1 = 3d

d = (5.1)/(3)

d = $ 1.7

Therefore the equation to model this situation is  3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .

Option (C) is correct .

Its no D because you need to divide by 3 not 2. Your answer should be C.

Which ordered pair is a solution to the system of inequalities?

Answers

Answer:

Option A

Step-by-step explanation:

System of the inequalities is,

y ≥ 2x

y < x + 4

By satisfying these inequalities with the points given in the options we can get the answer.

Option (A). (2, 5)

y ≥ 2x

5 ≥ 2(2)

5 ≥ 4

True.

y < x + 4

5 < 2 + 4

5 < 6

True

Therefore, Option (1) is the answer.

Option (B) (1, 6)

y ≥ 2x

6 ≥ 2(1)

6 ≥ 2  

True.

y < x + 4

6 < 1 + 4

6 < 5

False.

Therefore, it's not the solution.

Option (C) (2, 3)

y ≥ 2x

3 ≥ 2(2)

3 ≥ 4

False.

y < x + 4

4 < 2 + 4

4 < 6

True.

Therefore, It's not the solution.

Option (D) (1, 5)

y ≥ 2x

5 ≥ 2(1)

5 ≥ 4

True.

y < x + 4

5 < 1 + 4

5 < 5

False.

Therefore, It's not the solution.

Match each expression with its simplified form.1. a/(a^2-4)+2/(3a+6)
2.5/a+7
3.a/ab-3/b
4.6/ab+8/a
5.3a/4b^2-b/6a

Answers

(a)/(a^2-4)+(2)/(3a+6) = (a)/((a-2)(a+2)) + (2)/(3(a+2)) = \n\n(3a)/(3(a-2)(a+2))+(2(a-2))/(3(a+2)(a-2)) = \n\n(3a+2a-4)/(3(a^2-4)) = (5a-4)/(3a^2-12)

(5)/(a)+7 = (5)/(a)+(7a)/(a) = (7a+5)/(a)\n\n\n(a)/(ab)-(3)/(b) = (1)/(b) -(3)/(b) = (1-3)/(b) = -(2)/(b)\n\n(6)/(ab)+(8)/(a) = (6)/(ab)+(8b)/(ab) = (6+8b)/(ab)\n\n(3a)/(4b^2) - (b)/(6a) = (9a^2)/(12ab^2) - (2b^3)/(12ab^2) = (9a^2-2b^3)/(12ab^2)

The brackets for a shelf are in a shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio x : 2x : 3x :

Answers

ok so remember that al angles add to 180
angles are x,2x,3x

add
x+2x+3x=6x
6x=180
divide 6
x=30

tmes 2
30*2=60

30*3=90

the angles are 30,60,90 degrees
so the angles are 30 60 and 90 degrees.

Please help math 25 points

Answers

The answer is c folk

The answer is C my mans

Is it possible to intersect a plane at more than one point with a line?

Answers

no it is not possible for a line to intersect a plane at more than one point because it is going through the figure once

Final answer:

In geometry, a line usually intersects a plane at one point, but if it runs parallel there are no points of intersection. If the line is part of the plane, there are infinite points of intersection.

Explanation:

In geometry, a line can intersect a plane in one point, no point, or the line could lie entirely on the plane. Usually, a line intersects a plane at a single point. However, if the line happens to run parallel to the plane, there would be no point of intersection as they are never going to cross each other. If the line lies on the plane, every point along that line intersects the plane, so technically there are infinite points of intersections.

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