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LenKa [72]
3 years ago
6

Sarah and Jean were able to sell 4 dozen of cupcakes in a hour at a school fair if this rate continue how many dozen s of cupcak

es well they be able to sell if the school fair 5 at 9:00 am and ends in 5:00 pm​
Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer:

Step-by-step explanation:

Firstly,

We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:

There are 8 hours between 9am and 5pm

∴ It is 48:1

That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other

So if it is 48:1 then x:8 with be = 48x8

∴ Sarah and Jean will be able to sell 384 cupcakes

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Solve the system of linear equations by elimination.<br> -3.x – 5y = -7<br> -4x + 5y = 14
julia-pushkina [17]

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

8 0
3 years ago
Read 2 more answers
Henry is making a corn grits recipe that calls for cup of corn grits for every cup of water.
Step2247 [10]

Answer:

3 cups of water

Step-by-step explanation:

Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits?

Expand 1/2 to 2/4, if there is 1 1/2 cups of corn grits, that means that 1/4 cups of corn grits was used 6 times, 1/2x6=3. He will need 3 cups of water

8 0
3 years ago
Miss Berk has 8 pairs of pajama pants and 3 pairs of slippers. Three pairs of the pajama pants are Harry Potter themed and one p
shusha [124]

The probability that both items will be Harry Potter themed is 1/8.

<u>Step-by-step explanation:</u>

Total Number of pajama pants n(P) =8

Total number of slippers n(S)= 3

Number of Harry Potter themed Pajama pants n(H.P)=3

Number of Harry Potter themed slippers n(H.S)=1

We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.

If two events A and B are independent, then the probability of A and B is given by

P(A and B)=P(A)*P(B)

Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.

P(Harry\ Potter\ pants)=\frac{n(H.P)}{n(P)}

                                       =\frac{3}{8}

P(Harry\ Potter\ slippers)=\frac{n(H.S)}{n(S)} \\                                         =1/3

P(Harry\ Potter\ pants\ and\ Harry\ Potter\ slippers)=P(Harry Potter pants)\times P(Harry potter slippers)

=\frac{3}{8}\times  \frac{1}{3} =\frac{1}{8}

Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8

3 0
3 years ago
Read 2 more answers
Find 4.5×10^7 over 1.5×10^-8 . write answer in scientific notation.
Sati [7]

Answer:

\large\boxed{\dfrac{4.5\times10^7}{1.5\times10^{-8}}=3\times10^{15}}

Step-by-step explanation:

The scientific notation:

a\times10^k\ \text{where}\ 1\leq a

We have:

\dfrac{4.5\times10^7}{1.5\times10^{-8}}=\dfrac{4.5}{1.5}\times\dfrac{10^7}{10^{-8}}

Use

\dfrac{a^n}{a^m}=a^{n-m}

=3\times10^{7-(-8)}=3\times10^{7+8}=3\times10^{15}

4 0
3 years ago
Chloe purchased a sweater that cost $24, and a shirt that cost 5/8 times as much as the sweater.What amount of change did Chloe
KatRina [158]

Answer:

Chloe received $11 as change if she gave the clerk $50

Step-by-step explanation:

We are given that Chloe purchased a sweater that cost $24, and a shirt that cost 5/8 times as much as the sweater.

Cost of sweater = $24

Cost of shirt =\frac{5}{8} \times 24 = 15

So, Total cost of shirt and sweater = 24+15=39

Now She gave $50 to clerk

So, Change received by her = 50-39=11

So, Chloe received $11 as change if she gave the clerk $50

8 0
3 years ago
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