mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5

Answer:

[tex]x=-10-8 = -18[/tex]

Step-by-step explanation:

Answer:

x=-10-8=18

Step-by-step explanation:

Answer:

y=15

Step-by-step explanation:

Answer:

N = 34

Step-by-step explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]

Cross multiplying:

[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]

taking 12 to the denominator:

[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{ N = 34 } [/tex]

[tex] \implies \mathsf{ N = 34} [/tex]

The one-time entry fee is $12.

In order to determine the one-time entry fee, two equations have to be formed from the information in the question:

x + 5y = 42 equation 1

x + 7y = 54  equation 2

Where:

x = one-time entry fee

y = cost to pick an apple per pound

In order to determine the one-time entry fee, take the following steps:

Multiply equation 1 by 7 and equation 2 by 5.

7x + 35y = 294 equation 3

5x + 35y = 270 equation 4

Subtract equation 4 from equation 3

2x =24

Divide both sides of the equation by 2

x = $12

To learn more, please check: brainly.com/question/23589883

Answer:

7.8 or 8

Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.

5^2 is 25 and 6^2 is 36

Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.

Answer:

-7 1/2 equals to -7.5

so

-7.5 ___ -7.75

-7.5 > -7.75

Answer:

No solution

Step-by-step explanation:

How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.

Answer:

36

Step-by-step explanation:

6:8

27/6 = 4.5

8 · 4.5 = 36

Answer:

a)

Step-by-step explanation:

Answer: pretty sure it's d but I could be wrong

Step-by-stepStep-by-step explanation:

Answer:

x = 45°, y= 5°

Step-by-step explanation:

x = 9y

90+2x = 180

2x = 90

x = 45

so x = 45

9y = 45

y = 5

Answer:

2×2=4

9x+2=11x

1-6x=4x

x²-4=16

=16¹⁵x

Answer:

f(x)=12(1.2)x

Step-by-step explanation:

Answer: see below

Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50

If  Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being

$5y + $6y - $50 or $11y - $50

Answer:

Any number smaller than 2

Step-by-step explanation:

You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2

Answer:

The Answer Is A. $13,800

Step-by-step explanation:

Answer:

[tex] - (6 - 4x) = - 6 + 4x[/tex]

Answer:

[tex]-6+4x[/tex]

Step-by-step explanation:

[tex]-(6-4x)[/tex]

[tex]\mathrm{Distribute\:parentheses}[/tex]

[tex]=-\left(6\right)-\left(-4x\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=-6+4x[/tex]

in order:

y=6

y=16

y=26

y=31

Answer:

r= 5/12 h

Step-by-step explanation:

r/h = 1/2.4

r =[tex]\frac{10}{24}[/tex]h

r=[tex]\frac{5}{12}[/tex]h

The length of the line segment GD is 10.5

To get the length of the line segment GD, we will use similarity theorems of triangles to have:

ED/FD = GD/DH

Substitute the given sides to have:

6+GD/(8+14) = GD/14

6+GD/22 = GD/14

Cross multiply

22GD = 14(6+GD)

22GD = 84 + 14GD

22GD - 14GD = 84

8GD = 84

GD = 84/8

GD = 10.5

Hence the length of the line segment GD is 10.5

Learn more on similarity theorems of triangle here: https://brainly.com/question/8242716

Answer:

13+4=17,17/64=3-8=-5

Step-by-step explanation:

this is the solution

Step-by-step explanation:

Let x be the number subtracted from 13 such that the difference is 13-x

divide that resulting difference by 11, then it becomes (13 - x) / 11

Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8

the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide

both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2

Answer:

Parallel: 6, 1

Perpendicular6,. 1

Answer:

See below

Step-by-step explanation:

Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)

Recall that

(a + b)² = a² + 2ab + b²

Then

(a + b)² = 25 + 2•12 = 49

Answer:

0.8 km per day

Step-by-step explanation:

5 3/5 is the same as 5.6, so

5.6/7

= 0.8 km per day

Answer:

Around 19 rows

Step-by-step explanation:603/31= 19.40 so I'm not too sure

Answer:

122.4 i think

Step-by-step explanation:

Answer:

4860

Step-by-step explanation:

Get the product of twenty and three, then multiply that to three again, repeat this for three more times.