−3, −1, 0, 3 Which pair of numbers has a sum of 0

There are 8 cups of pasta in 22 servings. Write a proportion that gives the number x of cups of pasta in 3 servings.

Lisa [10]

Answer:

Step-by-step explanation:

Cups: servings

8 : 22 :: x : 3

Product of means = product of extremes

22*x = 3*8

$x = \dfrac{3*8}{22}=\dfrac{3*4}{11}=\dfrac{12}{11}=1\dfrac{1}{11}$

6 0

2 years ago

a boat traveled 160 miles downstream and back. the trip downstream took 8 hours. the trip back took 40 hours. find the speed of

Nana76 [90]

Let speed of the boat in still water = x miles per hour

Let speed of the current = y miles per hour

When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)

now plug the given values in formula speed=distance/time

we get equation:

(x+y)=160/8

or x+y=20...(i)

When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)

now plug the given values in formula speed=distance/time

we get equation:

(x-y)=160/40

or x-y=4

or x=4+y...(ii)

plug value of x into (i)

4+y+y=20

4+2y=20

2y=16

y=8

plug value of y into (ii)

x=4+8=12

Hence final answer is given by:

Speed of the boat in still water = 12 miles per hour

Speed of the current = 8 miles per hour

4 0

3 years ago

What function equation is represented by the graph?

KATRIN_1 [288]

Answer:

f(x) = -2.5x + 4

Step-by-step explanation:

If you go down 5 units and 2 units to the right then there is another point so the slope is -5/2 which is the same thing as -5 divided by 2. So it’s -2.5 as the slope and for the y- intercept, there is only one point on there and it is on 4. So the function is

f(x) = -2.5x + 4

I hope this helps

(I deserve to be marked the brainliest)

6 0

2 years ago

How do you find mode in data

nikdorinn [45]

Answer:

The mode is the number that shows up most frequently

Step-by-step explanation:

Example, in the number set below

1, 1, 2, 3, 4, 4, 4, 4, 5, 7, 35, 36

The mode is 4

4 0

3 years ago

Read 2 more answers

A cylindrical soup can has a diameter of 3.6 in. and is 6.4 in. tall. Find the volume of the can.

arsen [322]

<h2>⚘Your Answer:------</h2>

<h3>Given Information:</h3>

Diameter of can:- 3.6 cm
Height of can:- 6.4 cm

Volume of the Can.

<h3>Solution:</h3>

Radius = (Diameter/2)

ㅤㅤㅤㅤ3.6 cm/2

ㅤㅤㅤㅤ1.8 cm

So, Radius of the soup can is 1.8 cm.

Volume øf cylinder = Volume øf can

Volume of cylinder = π r²h

(π = 22/7)

(r = radius = 1.8 cm)

(h = height = 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7×(1.8 cm)²× 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7× 3.24 cm² × 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7 × 20.736 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= (456.192/7) cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 65.17 cm³

So, the Volume of the soup can is 65.17 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤ⚘Thank You

7 0

2 years ago