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amm1812
3 years ago
11

Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the

DVD. Write an expression that can be used to determine the final cost of the DVD.
Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0
0.05(0.85y)=5%(of the onsale dvd) and a is just the on sale dvd (85%)
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getting home from trick or treat celia and emma counted their candies. half of celias candies is equal to 2/3 of emmas candies.
blagie [28]

Candies with celias and emmas is 60 and 45 respectively.

<u>Solution:</u>

Given, Getting home from trick or treat celia and emma counted their candies.  Half of celias candies is equal to 2/3 of emmas candies.  

They had a total of 105 candies altogether.  

We have to find how many candies did each of them have.

Let the number of candies with celias be n, then number of candies with emma will be 105 – n.

Now according to given condition.

\begin{array}{l}{\frac{1}{2} \times \text { celias candies count }=\frac{2}{3} \times \text { emmas candies count }} \\\\ {\rightarrow \frac{1}{2} \times n=\frac{2}{3} \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 n=4(105-n)} \\\\ {\quad \rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n+4 n=420} \\\\ {\rightarrow 7 n=7 \times 60} \\\\ {\rightarrow n=60}\end{array}

Hence, candies with celias and emmas is 60 and 45 respectively.

4 0
3 years ago
SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SA
kotegsom [21]

Answer:

I should use at least 304 students

Step-by-step explanation:

Margin error (E) = t × sd/√n

E = 40

sd = 300

confidence level (C) = 98% = 0.98

significance level = 1 - C = 1 - 0.98 = 0.02 = 2%

t-value corresponding to 2% significance level and infinity degree of freedom is 2.326

n = (t×sd/E)^2 = (2.326×300/40)^2 = 17.445^2 = 304 (to the nearest integer)

3 0
3 years ago
Help me please and thx
Olenka [21]
Y = kx, so y/x is constant

you want y such that
y/12 = -2/-8
3 0
3 years ago
Apples are on sale at the grocery store at a price of 8 apples for $4.00. Maggie buys 12 apples. If she is charged the sale pric
Gnesinka [82]

Answer:

$6

Step-by-step explanation:

3 0
3 years ago
1. What number, when substituted for x in the following problem, will make the problem true?
riadik2000 [5.3K]

Answer:

x = 17.82

Step-by-step explanation:

6x + 8% = 107    

      -8%    -8%

or

107 - 0.08 = 106.92

-----------------------------------

6x = 106.92

÷6      ÷6

x = 17.82

------------------------------------

I hope this helps!

8 0
2 years ago
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