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BARSIC [14]
2 years ago
11

Cai is buying a fruit smoothie from the grocery store and wants the best deal. Drag the smoothies in order from the least to the

greatest unit cost in dollars per ounce.
Best Fruit 22.5 ounces for $2.29
Healthy Smoothie 12.5 ounces fgor $3.00
Smooth and Tasty 32 ounces for $5.16
Mathematics
2 answers:
liraira [26]2 years ago
7 0
The cost of one ounce each :
$2.29/22.3 = $0.10
$3.00/12.5 = $0.24
$5.16/32 = $0.17

The order
Best Fruit
Smooth and Tasty
Healthy Smoothie
bezimeni [28]2 years ago
6 0

Answer:

Best fruit <Smooth and Tasty<Healthy Smoothie

Step-by-step explanation:

A) Best Fruit 22.5 ounces for $2.29

Cost of 22.5 ounces of Best fruit = $2.29

Cost of 1 ounce of Best fruit = \frac{2.29}{22.5}=0.101

B)Healthy Smoothie 12.5 ounces for $3.00

Cost of 12.5 ounces of Healthy Smoothie= $3

Cost of 1 ounce of Healthy Smoothie = \frac{3}{12.5}=0.24

C)Smooth and Tasty 32 ounces for $5.16

Cost of 32 ounces of Smooth and Tasty = $5.16

Cost of 1 ounce of Smooth and Tasty  = \frac{5.16}{32}=0.161

the least to the greatest unit cost in dollars per ounce.: 0.101<0.161<0.24

Best fruit <Smooth and Tasty<Healthy Smoothie

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A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen
Sergeu [11.5K]

Answer: Cost of each hot dog and bratwursts would be $1.1 and $1.35 each.

Step-by-step explanation:

Since we have given that

Cost of each dozen hot dogs be 'x'.

Cost of each dozen bratwursts be 'y'.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $316.20.

So, the equation would be

8x+13y=\$316.20

.The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $375.00.

So, the equation would be

10x+15y=\$375.00\\\\2x+3y=\$75

So, the equations becomes

8x+13y=316.20--------------(2)\\\\(2x+3y=75)\times 4\\\\\implies 8x+12y=300------------(1)

So, by elimination method, we get that

8x+13y=316.20\\\\(-)8x+(-)12y=(-)300\\\\--------------\\y=\$16.20

Put the value of y in the eq(1), we get that

2x+3y=75\\\\2x+3(16.20)=75\\\\2x+48.6=75\\\\2x=75-48.60\\\\2x=26.4\\\\x=\dfrac{26.4}{2}\\\\x=\$13.2

Hence, the cost of hot dogs would be \dfrac{13.2}{12}=\$1.1

And the cost of bratwursts would be \dfrac{16.2}{12}=\$1.35

4 0
2 years ago
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
Ira Lisetskai [31]

Answer:

0.1x+0.15(50-x)= 50*0.12

Step-by-step explanation:

50 ml of 12% solution has 50*0.12 ml of alcohol

x ml of 10% solution has x*0.1 ml of alcohol

(50-x) ml of 15% solution has (50-x)*0.15 ml of alcohol

The equation to solve is:

  • 0.1x+0.15(50-x)= 50*0.12
3 0
2 years ago
Triangle A has a height of 2.5\text{ cm}2.5 cm2, point, 5, start text, space, c, m, end text and a base of 1.6\text{ cm}1.6 cm1,
konstantin123 [22]

Answer:

Option A

Option D

Option E

Step-by-step explanation:

we know that

If the height and base of triangle B are proportional to the height and base of triangle A

then

Triangle A and Triangle B are similar

Remember that

If two triangles are similar then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

\frac{h_A}{h_B} =\frac{b_A}{b_B}

where

h_A and h_B are the height of triangle A and triangle B

b_A and b_B are the base of triangle A and triangle B

In his problem we have

h_A=2.5\ cm\\b_A=1.6\ cm

substitute

\frac{2.5}{h_B} =\frac{1.6}{b_B}

Rewrite

\frac{2.5}{1.6} =\frac{h_B}{b_B}

\frac{h_B}{b_B}=1.5625

<u><em>Verify all the options</em></u>

A) we have

h_B=2.75\ cm\\b_B=1.76\ cm

Find the ratio of the height to the base of triangle B and compare the result with the ratio of height to the base of triangle A (the value is 1.5625)

substitute the values in the proportion

\frac{2.75}{1.76}=1.5625

The ratios are the same

That means that are proportional

therefore

These values could be the height and base of triangle B

B) we have

h_B=9.25\ cm\\b_B=9.16\ cm

Find the ratio of the height to the base of triangle B and compare the result with the ratio of height to the base of triangle A (the value is 1.5625)

substitute the values in the proportion

\frac{9.25}{9.16}=1.0098

The ratios are not equal

That means that are not proportional

therefore

These values could not be the height and base of triangle B

C) we have

h_B=3.2\ cm\\b_B=5\ cm

Find the ratio of the height to the base of triangle B and compare the result with the ratio of height to the base of triangle A (the value is 1.5625)

substitute the values in the proportion

\frac{3.2}{5}=0.64

The ratios are not the same

That means that are not proportional

therefore

These values could not be the height and base of triangle B

D) we have

h_B=1.25\ cm\\b_B=0.8\ cm

Find the ratio of the height to the base of triangle B and compare the result with the ratio of height to the base of triangle A (the value is 1.5625)

substitute the values in the proportion

\frac{1.25}{0.8}=1.5625

The ratios are the same

That means that are proportional

therefore

These values could be the height and base of triangle B

E) we have

h_B=2\ cm\\b_B=1.28\ cm

Find the ratio of the height to the base of triangle B and compare the result with the ratio of height to the base of triangle A (the value is 1.5625)

substitute the values in the proportion

\frac{2}{1.28}=1.5625

The ratios are the same

That means that are proportional

therefore

These values could be the height and base of triangle B

8 0
2 years ago
Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as
ikadub [295]

Answer:

Step-by-step explanation:

7 0
2 years ago
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