Blake and two friends equally shared the cups of water shown in the picture.


What fraction of the cups of water did each of them drink?

A

3
6

B

5
6

C

2
6

D

4
6

Step-by-step explanation:

[tex]f(x) = \frac{4}{x - 2} \\ g(x) = \frac{x - 2}{x} [/tex]

[tex] {f}^{ - 1} (x) ... \\ x = \frac{4}{y - 2} \\ y - 2 = \frac{4}{x} \\ {f}^{ - 1} (x) = \frac{4}{x} + 2[/tex]

[tex] {g}^{ - 1} (x)... \\ x = \frac{y - 2}{y} \\ xy = y - 2 \\ xy - y = - 2 \\ y(x - 1) = - 2 \\ {g}^{ - 1} (x) = \frac{ - 2}{x - 1} [/tex]

Answer:

12 cups of pineapple juice for 16 cups of ginger ale.

Step-by-step explanation:

4+4+4+4= 16

3+3+3+3= 12

Answer:

not sure

Step-by-step explanation:

I'm not sure how to do this guys I am very sorry for the inconvenience

Step-by-step explanation:

brother or sister whoever you are, please try to post the full question.

Refer to the attachment

Answer:

about 12 1/2 minutes

each mile he went to school took him 5 minutes and if his friend's house is 2 1/2 miles away then 2.5x5= 12.5

======================================================

Work Shown:

20 min = 20/60 = 1/3 of an hour

distance = rate*time

d = r*t

4 mi = (x mph)*(1/3 hr)

4 = x*(1/3)

4*3 = x

x = 12 mph

Damon's speed is 12 mph

--------------

Now calculate the time it takes go travel to his friends house.

d = r*t

2.5 = 12*t

t = (2.5)/12

t = 25/120

t = (5*5)/(5*24)

t = 5/24

He takes 5/24 of an hour to go from school to Stefan's house.

Multiply by 60 to convert to minutes

(5/24)*60 = 12.5 minutes

The number of dimes, pennies and nickels are required.

The number of dimes is 50, pennies is 200 and nickels is 75.

Let the number of dimes be [tex]x[/tex]

From the question the number of dimes is one-fourth the number of pennies and two-thirds the number of nickels.

So,

The number of pennies is [tex]4x[/tex]

and number of nickels is [tex]\dfrac{3}{2}x[/tex]

1 nickel = 0.05$

1 penny = 0.01$

1 dime = 0.01$

Total value of the coins is $10.75

[tex]0.1x+0.05\times \dfrac{3}{2}x+0.01\times 4x=10.75\\\Rightarrow 0.215x=10.75\\\Rightarrow x=\dfrac{10.75}{0.215}\\\Rightarrow x=50[/tex]

The number of dimes is 50.

The number of pennies is [tex]4x=4\times50=200[/tex]

The number of nickels is [tex]\dfrac{3}{2}x=\dfrac{3}{2}\times50=75[/tex].

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Answer:

8 weeks

Step-by-step explanation:

16km is the total, 2km is what is completed in a single (1) week.

so our equation is 16÷2

Week 1: 2km

Week 2: 4km

Week 3: 6km

Week 4: 8km

Week 5: 10km

Week 6: 12km

Week 7: 14km

Week 8: 16km (final)

Answer: The graph of g(x) will be shifted 2 units left and 1 unit down compared to the parabola, f(x).

Step-by-step explanation:

Answer:

k^-1(x) = -1/128+16x

Domain = ]-infinity,-8[ U ]-8,infinity[

Range = ]-infinity,0[ U ]0,infinity[

Step-by-step explanation:

k(x) = -1/16x = -8

y = -1/16x = -8

x = -1/16y = -8

y = -1/128+16x

k^-1(x) = -1/128+16x

Answer:

D

Step-by-step explanation:

e2021 on god

the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.

Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is  75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

=  [tex]\frac{4.5}{750}[/tex]

= 0.006$

In 1 gram of rice he spend 0.006$

If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true

That makes 0.006$ is the right answer.

Hope that help :)

Answer:

[tex]h = \frac{2a}{a + b} [/tex]

The total amount that Ella earned in a week in which she made sales of $600 is; $500

The parameters given about Ella who is a salesperson are;

Amount paid per week = $500

Commission on sales exceeding $800 = 3%

Total sales for the week = $600

From the parameters above, we see that she didn't make sales exceeding the commission limit of $800 and as such she didn't earn any extra commission.

Therefore her weekly pay was still $500

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Answer:

gok jhtgrfedcfrgtyhu57i86i8ujyhg

Step-by-step explanation:

Answer:

The integers are 96, 97, 98, and 99

Step-by-step explanation:

first integer = x

second integer = x+1

third integer = x+2

fourth integer = x+3

(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time

The sum (add them all up) is (=) 390 so

x+(x+1)+(x+2)+(x+3) = 390

4x+6=390

4x+6-6=390-6

4x=384

4x/4=384/4

x=96

x+1=97

x+2=98

x+3=99

The integers are 96, 97, 98, and 99

Answer:

x equals to 5

jist cross multiply

Step-by-step explanation:

area of circle = πr²

radius ² = 9.15 = 83.72 (approx.)

now,

→ 22/7 × 83.72

→ 22 × 11.96 = 263.02 m²

therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².

hope this answer helps you dear..take care and may u have a great day ahead!

Step-by-step explanation:

1 ft = 12 in

=>

6 ft = 12×6 = 72 in

so, the given ratio is

6 ft / 80 in = 72 in / 80 in = 9/10 in

Answer:

g = 8

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

-1 = (-6 -7) / (g +5)

-1= -13/x + 5

-1(x+5)= -13

-x - 5 = -13

-x = -8

x = 8

Answer:

It is correct :)

Step-by-step explanation:

Step-by-step explanation:

vyo yesko solutions yeti matra xa

Answer:

the answer is below

Step-by-step explanation:

multiply like this

Answer:

x<-6 or x>10

Step-by-step explanation:

-3+|x-2|>5

add 3 to both sides

|x-2|>8

x-2>8

x>10

There are 2 answers because it is absolute value.

It can't be 10, so the only other option is -6.

|x-2|>8

|-6-2|=8

|-8|=8

Apply absolute rule. If |u| > a, u < -a

because one of the answers is -6, it has to be x<-6

Answer:

77 rows

As per the provided information in the given question, we have :

We've been asked to calculate the number of rows in the auditorium.

Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.

Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.

Writing it in the form of a linear equation,

[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]

Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.

[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]

Therefore, there are 77 rows in the auditorium.

Answer:

Step-by-step explanation:

Write the equation of the line perpendicular to 2x-3y=12 that passes through the point (16,-7)

Rewrite the equation as  y = (2/3)x - 4  This has slope 2/3

A perpendicular line will have slope -3/2 so the equation of a perpendicuar line is y = -(3/2)x + c where c is a constant found from the fact that the line must go through point (16, -7).

-7 = -(3/2).16 + c

c = 24 - 7  

c = 17

Hence perpendicular line has equation  y = -(3/2)x + 17

Answer:

Step 1: The formula for distance is

Distance = Rate × Time

Total distance = 32 × 3 + 60 × 4 = 624

Step 2: Total time = 2 + 4 = 6

Step 3: Using the formula:

average speed formula

624/6 = 104

Step-by-step explanation:

Answer:

y=-5/3x+10

Step-by-step explanation:

slope is -5/3 and the y int. is 10. Hope this helps!

Answer:

The x-int is 3/2y - 3 (x=3/2y-3)

Step-by-step explanation:

2x-3y=-6

2x=3y-6

x=3/2y-3

Answer:7

Step-by-step explanation:

1/2 of j is the same as j ÷ 2

14 ÷ 2 = 7