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Hoochie [10]
3 years ago
6

heather, rafael, and tom have a total of $101 in their wallets. Rafael had 3 times what tom has. tom has $9 more than heather. h

ow much do they have in their wallets
Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

A) H + R + T = 109

B) R = 3T

C) T = H + 9 combining equation B) with equation A)

A) H + 4T = 109 combining C) with A)

A) T -9  + 4T = 109

A) 5T = 118

Tom has 23.60 dollars

We put this information into equation B)

R = 3*23.60

Rafeal has 70.80 dollars

Putting this into Rafael and Ton into equation A)

A) H + 70.80 + 23.60 = 109

Heather has 14.60 dollars

Step-by-step explanation:

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If there were only sandwiches bought, there would be 15, if there were only salads bought there would be 20. There’s probably more than one possibility, but that’s the best I can do, considering how long it’s been since I’ve done this type of problem. I’m all the way to learning determinants, so I really have to think to remember these. Sorry in advance if this doesn’t help at all, I’m not the best at this, but I can still try.

5 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
sineoko [7]

When you plot the offered points on the graph, you find only one of them falls inside the shaded region:

... D. 43 pepperoni slices and 25 cheese slices

6 0
3 years ago
Joe's bill at grocery store came to $6.08 he paid with a $10 bill and a dime how much change do you get Joe's bill at the grocer
Levart [38]

Answer:

$4.02

Step-by-step explanation:

$10.10 - $6.08 = $4.02

7 0
3 years ago
Read 2 more answers
Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t
liq [111]

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got  = m

So, the number of votes Vivienne received =   3 times (John's share )

 = 3  times m   =  3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m)   = 6 m

Total Votes in the grade 6  

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6  = 10 m

\textrm{The percentage of John's Votes }  = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }}  \times 100

= \frac{m}{10m}  \times 100 = 10

or, The percentage of John's Votes  = 10%

Hence, John received 10% of the overall votes.

3 0
3 years ago
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It
Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 450 gram

Sample mean, \bar{x} = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

=n-1 = 16-1=15

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .            

5 0
3 years ago
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