Sarah purchased 2 pounds of cheese for $8.00. Arun purchased ½ pound of cheese for $2.50. How much more does Arun pay per pound of cheese?

Answer:

3

Step-by-step explanation:

Answer:

$30.80

Step-by-step explanation:

10% of $28 is 2.80

add 28+2.80=30.80

Answer:10 adult and 20 children

Step-by-step explanation:

The two inequalities for the given situation are x+y>30 and 15x+9y≤360.

Given that, a hairstylist charges $15 for an adult haircut at nine dollars for a child haircut she wants to earn at least $360.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of adults be x and the number of child be y.

So, x+y>30

Now, 15x+9y≤360

⇒ 3(5x+3y)≤360

⇒ (5x+3y)≤120

From the graph we can see that, two graphs intersecting at (15, 15)

Therefore, the two inequalities for the given situation are x+y>30 and 15x+9y≤360.

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Answer:

y = 3/2x+6

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{2}[/tex]x + 9

Step-by-step explanation:

Slope-intercept form is y = mx + b. [tex]\frac{3}{2}[/tex] is the slope and 9 is the y-intercept.

Ans

c=9

Step-by-step explanation:

2 x 9 = 18 +9 = 27

Answer:

[tex]18\; {\rm in}[/tex].

Step-by-step explanation:

Let [tex](x\; {\rm in})[/tex] be the length of the base.

The question states that the length of each congruent side is [tex]8\; {\rm in}[/tex] less than twice the length of the base. Twice the length of the base would [tex](2\, x\; {\rm in})[/tex]. The length of each congruent side would be [tex](2\, x - 8)\; {\rm in}[/tex].

Sum up the length of each side to find the perimeter of this triangle:

[tex](2\, x - 8) + (2\, x - 8) + x = 5\, x - 16[/tex].

Substitute in the actual perimeter of this triangle:

[tex]5\, x - 16 = 74[/tex].

Solve for [tex]x[/tex]:

[tex]x = 18[/tex].

Therefore, the length of the base of this isosceles triangle would be [tex]18\; {\rm in}[/tex].

Answer:

The Distributive Property

Answer:

w= -1/3

Let's solve your equation step-by-step.

7w+9−4w−4=4

Step 1: Simplify both sides of the equation.

7w+9−4w−4=4

7w+9+−4w+−4=4

(7w+−4w)+(9+−4)=4(Combine Like Terms)

3w+5=4

3w+5=4

Step 2: Subtract 5 from both sides.

3w+5−5=4−5

3w=−1

Step 3: Divide both sides by 3.

3w/3=−1/3

w= −1/3

Answer:

w= −1/3

HOPE THIS HELPS <3333333

-Silver

Answer:

A

Step-by-step explanation

i = [tex]\sqrt{-1}[/tex]

i² = ([tex]\sqrt{-1}[/tex] )² = - 1

i³ = i² × i = - 1 × i = - i

[tex]i^{4}[/tex] = i² × i² = - 1 × - 1 = 1 , then

[tex]i^{16}[/tex]

= [tex](i^4)^{4}[/tex]

= [tex](1)^{4}[/tex]

= 1

I think mackenzie cuz she got 4 pillows

Answer:

Mackenzie found a better deal because each of her pillows were 22.50. And Ariana's pillows costed 23.5 each.

Answer:

Simplify the expression.

Exact Form:

8

3

Decimal Form:

2.

¯

6

Mixed Number Form:

2

2

3

Step-by-step explanation:

Answer:

{ }, {4}, {6}, {7}, {4, 6} {4, 7}, {6, 7}, {4, 6, 7}

Step-by-step explanation:

The empty set is a subset of every set.

Also, a set is a subset of itself.

S = {4, 6}

T = {6, 7}

S U T = {4, 6, 7}

Subsets of S U T: { }, {4}, {6}, {7}, {4, 6} {4, 7}, {6, 7}, {4, 6, 7}

Answer:

-9 7/15

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

first you have to make 1 1/4 an improper fraction so since the denominator is 4 you add 4 to the numerator which is 1 so your fraction would be 5/4.

Second you make the denominators the same so you have to multiply them together. but since your multiplying the denominators you have to multiply the numerator as well. so for 5/4 you would multiply both the numerator and denominator by 10 so your fraction will now be 50/40. now you  multiply 8/10 by 4 so your new fraction is now 32/40

Third you subtract. you only have to subtract the numerators so 50-32 is 18 so your answer is 18/40

Last you need to simplify the highest number you can divide both of them by is 2 so now you divide 18 by 2 which makes 9 then you divide 40 by 2 which is 20 so your answer is 9/20

Sorry i'm not the best at explaining things but i tried my best

Hope this helps you out and have a great day : )

Answer:

the shortest angle is P which is 30

Step-by-step explanation:

180-70-80= 30

Answer:

x=34/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Research decreases satisfaction

Answer:

I am not sure but i think B so two solutions

Answer:

C

Step-by-step explanation:

Answer:

C because 340 represents the ticket sales . It wouldnt be d because it 2a and 5c when it should be 5A for the adults and 2C for the children

Step-by-step explanation:

Answer:

107.2 seconds

Step-by-step explanation:

Step one:

given

the diameter of ball 8 inches

radius= 8/2 = 4 in

The volume of the ball

[tex]v=4/3 \pi r^3[/tex]

[tex]v= 4/3*3.142*4^3\\\\v= 4/3*3.142*64\\\\v= 804.35/3\\\\v=268.12 in^3[/tex]

Step two:

we know that

rate= quantity/time

rate= 2.4 in per second

quantity= 268.12

time=?

time= quantity/rate

time= 268.12/2.5

time= 107.2 seconds

Answer: A

Step-by-step explanation: because the slope is positive 1/3 on the line

The number of all possible combinations of 3 letters can be made from the word 'oranges' = 35

The probability that the three letters will be consonants = 0.114

In this question, we have been given a word 'oranges'

We need to find the number of ways in which the letters of orange can be arranged.

Also, we need to find the probability that these three letters will all be consonants.

The number of letters in the word oranges = 7

So, n = 7

We need combinations of 3 letters.

so, r = 3

The number of all possible combinations of 3 letters would be,

^7C_3 = 7! / (7 - 3)! (3!)

^7C_3 = 35

The number of combinations of 3 letters = 35

We can observe that the consonants in the word 'oranges' are:

r, n, g, s

The number of consonants = 4

The combinations of 3 consonants would be,

^4C_3 = 4! / (4 - 3)! 3!

^4C_3 = 4

The required probability would be,

p = ^4C_3  / ^7C_3

p = 4 / 35

p = 0.114

Therefore, the number of all possible combinations of 3 letters can be made from the word 'oranges' = 35

the probability that the three letters will be consonants = 0.114

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Answer:

a or b

Step-by-step explanation:

Answer:

B. 30

Step-by-step explanation:

3/4 = .75

120 * .75 = 90

Of those 90 students 1/3 wore sandals.

1/3 = approximately .33

90 * .33 = 29.7

Therefore, around 30 students wore jeans and sandals.