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mina [271]
2 years ago
3

Each week Zoe's parents give her an allowance of $10. Zoe has the opportunity to earn additional money each week by completing t

asks that are outside of her regular chores. She can earn an additional $5 for each of the tasks that she completes. Which algebraic expression describes how much she has the potential to earn each week?
A)10t+5t
B)10t+5
C)10(5t)
D)10+5t
C)5(10t)
Mathematics
2 answers:
jeka942 years ago
6 0

Answer: D. 10+5t

Step-by-step explanation:

Given : Each week Zoe's parents give her an allowance of $10.

She can earn an additional $5 for each of the tasks that she completes.

Let 't' denotes the number of tasks that she completes.

Then, the expression for money earned by completing the tasks :

5\times t=5t

Now, the algebraic expression describes how much she has the potential to earn each week :-

10+5t

Zarrin [17]2 years ago
3 0

Answer: d) 10+5t because 10 is the constant, she will get that no matter what but the 5 is dependent on the amount of extra chores she does

Step-by-step explanation:

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Aubrey's dinner cost \$85$85dollar sign, 85. She tips the waitstaff 30\%30%30, percent for excellent service.
KATRIN_1 [288]
<h3><u>Question:</u></h3>

Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?

<h3><u>Answer:</u></h3>

Aubrey paid $ 25.5 to the wait staff

<h3><u>Solution:</u></h3>

Given that, Aubrey's dinner cost $ 85

She tips the waitstaff 30% for excellent service

We have to find the amount paid as tip to wait staff

Cost = $ 85

Tip = 30 %

So the tip amount paid is 30 % of 85

<h3><u>Find out 30 % of 85</u></h3>

Tip\ Amount = 30 \% \times 85\\\\Tip\ Amount = \frac{30}{100} \times 85\\\\Tip\ Amount = 0.30 \times 85\\\\Tip\ Amount = 25.5

Thus Aubrey paid $ 25.5 to waitstaff

4 0
2 years ago
Frogs a b c d had a jumping relay race how many centimeters did they jump altogether ? 27 centimeters 34, 25, 28?
inysia [295]
114.
Just add all of them and that's it :)
6 0
2 years ago
Assume the blood pressures of 10 people were measured before and after sleeping for the night. What is the corresponding critica
NeX [460]

Answer:

For the critical value we need to calculate the degrees of freedom given by:

df = n-1= 10-1=9

And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:

|t_{crit}| =1.833

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=test value with right arm , y = test value with left arm  

The system of hypothesis for this case are:  

Null hypothesis: \mu_y- \mu_x = 0  

Alternative hypothesis: \mu_y -\mu_x \neq 0  

The first step is calculate the difference d_i=y_i-x_i

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{361}{5}  

The third step would be calculate the standard deviation for the differences, and we got:  

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}  

The 4 step is calculate the statistic given by :  

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}  

For the critical value we need to calculate the degrees of freedom given by:

df = n-1= 10-1=9

And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:

|t_{crit}| =1.833

5 0
2 years ago
Michael has $1.95 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the nu
Triss [41]
1 nickel=$0.05
1 quarter=$0.25
let the number of quarters be x, the number of nickels will be 3+x
thus:
0.05(3+x)+0.25x=1.95
0.05x+0.15+0.25x=1.95
0.30x=1.8
x=6
thus the number of quarters is 6
the number of nickels=6+3=9
4 0
2 years ago
You put $350 per month in an investment plan that pays an APR of 3.5% compounded monthly. How much will you have after
melamori03 [73]

Answer: B.

Step-by-step explanation: TVM Solver Equation:

N = 216 (12 x 18 years)

I% = 3.5

PV = 0

PMT = - $350

FV = 105,106.7593

P / Y = 12 (months)

C / Y = 12

PMT: END

8 0
2 years ago
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