Solve the inequality<br> 9 + 14 >22

A student has 5 ninths gallons of popcorn to give away. He wants to split it evenly between his 4 friends. How much popcorn does

Lera25 [3.4K]

The quantity of popcorn each friend of the students receive is 5/36 gallons.

<h3>Division of fraction</h3>

Number of gallons of popcorn the student .has = 5/9 gallons

Number of the student's friends = 4

Quantity of popcorn each friend receive = Number of gallons of popcorn the student has / Number of the student's friends

= 5/9 ÷ 4

= 5/9 × 1/4

= (5 × 1) / (9 × 4)

= 5/36

Therefore, the quantity of popcorn each friend of the students receive is 5/36 gallons

Learn more about division of fraction:

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3 0

2 years ago

What is the value of s? I'll mark first correct answer brainliest.

irinina [24]

Answer:

s = 11.

Step-by-step explanation:

To find the value of 's', we can first use the Supplementary Angles theorem. If '12s' is the measure of the angle outside of the triangle, the angle inside the triangle must be equivalent to '180-12s'.

Since the sum of all of the angles of the triangle must be 180°, we can set up an equation to solve for 's':

180 = 45 + 10s - 23 + 180 - 12s (Subtract both sides by 180)

Simplify:

0= 45 + 10s - 23 - 12s (Subtract both sides by 45, and add 23 to both)

-22 = 10s - 12s

-22 = -2s (Divide both sides by -2)

s = 11.

7 0

3 years ago

9: Stella picks 8 red flowers and 9yellow flowers. How many flowers does she pick? 10: Stretch your thinking- Noah makes a ten t

mamaluj [8]

For 9: stella picked 17 flowers. Idk about 10

3 0

3 years ago

PLS HELP GIVING BRAINLIEST Turner Middle School has 525 boys, 625 girls, 58 teachers, and a supporting staff of 12 employees. Th

viva [34]

Answer:

Step-by-step explanation:

Number of students = 525+625=1 150

The number of people = 525+625+58+12=1 220

let x represent the amounot of water consumed by students

1220———————>1 267 760

1150———————> x

then

x = (1 150×1 267 760)÷1 220 = 1 195 019.67213115

:)

4 0

3 years ago

A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde

xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

$225(\frac{1}{3})=75\ m^2$

step 2

Find the length side of the square building

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=225\ m^2$

so

$b^2=225\\b=15\ m$

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

$(15+2x)^2=225+75$

solve for x

$225+60x+4x^2=225+75\\4x^2+60x-75=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^2+60x-75=0$

so

$a=4\\b=60\\c=-75$

substitute in the formula

$x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}$

$x=\frac{-60\pm\sqrt{4,800}} {8}$

$x=\frac{-60\pm40\sqrt{3}} {8}$

$x=\frac{-60+40\sqrt{3}} {8}\ m$ ----> exact value

8 0

3 years ago

Solve the inequality 9 + 14 >22