MATHEMATICS HIGH SCHOOL

At a sale, Janet bought a $40 blouse for $25. Find the discount rate.

Answers

Answer 1

Answer:

Answer:

37.5%

Step-by-step explanation:

40-x%*40=25

x%40=15

x%=15/40=37.5%

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. Using the order of operations rule, solve the following: 12 ÷ 2 + 4 – 2 × 3 = ? A. 4 B. 36 C. 24 D. 0
Solve the proportion. If necessary, round to the nearest hundredth. 9/(y +1) = 18/54 *22183026
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How to write repeating 3.01 as a mixed number

Answers

3.010101.. = 3 + 0.010101... = 3 + 1/(100 - 1) = 3 + 1/99 = 3 1/99

A factory produced a batch of handheld video games, but 4% of the games were found to be defective. If the batch had 250 games in all, how many games in the batch were not defective?

Answers

Answer:

240 video games were not defective in the video game .

Step-by-step explanation:

Formula

$Percentage =(Part\ value* 100)/(Total\ value)$

As given

A factory produced a batch of handheld video games, but 4% of the games were found to be defective.

If the batch had 250 games in all .

Percentage = 4%

Total value = 250

Put all the values in the formula

$4 =(Part\ value* 100)/(250)$

$Part\ value =(4* 250)/(100)$

$Part\ value =(1000)/(100)$

Part value = 10

This means number of video games to be defective in the batch are 10 .

Thus

Number of video games in the batch were not defective= Total number of video games in the batch - Number of defective video games in the batch .

Put all the values in the formula

Number of video games in the batch were not defective= 250 - 10

= 240

Therefore 240 video games were not defective in the video game .

250 x 96% (good games) = 240

Consider the the first six terms in the sequence 10, 29, 48, 67, 86, 105. Which statements are correct? A) The 10th term in this sequence is 199. B) The 15th term in this sequence is 276. C) The 20th term in this sequence is 389. D) The recursive formula is an - 2ₙ₋₁ + 19. E) The explicit formula is a, = 19n - 9.

Answers

Answer:

Step-by-step explanation:

This is an arithmetic sequence when each term is 19 higher than the previous. You can use the formula 19(n-1)+10 when n is the desired term you wish to find. So options A and C are wrong because when plugged into the formula we get another solution. D is wrong because it provides us with an incorrect formula for both the recursive and explicit versions.

The correct answer is B, when the 15th term is 276.

A salesperson at Crabby Crystal's Sea Life Store sells 2 fishing reels and 5 rods for $295. The next day, the salesperson sells 4 reels and 2 rods for $230. Find the cost of each. Write both equations and solve the system.

Answers

Answer:

1 fishing reel costs $35

1 rod costs $45

Step-by-step explanation:

let the cost of fishing reels be f and the cost of rods be r

2f + 5r = 295 Equation1

4f + 2r = 230 Equation2

multiply Equation1 by -2

-2(2f + 5r = 295 )

-4f -10r = -590 Equation3

Add Equations 2 & 3

4f + 2r = 230

-4f -10r = -590

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

-8r = -360

r = 45

substitute r = 45 to any of the equations

I use 2f + 5r = 295

2f + 5(45) = 295

2f + 225 = 295

2f = 70

f = 35

Add and simplify 9/16 + 1/2= ?

Answers

when adding fractions, they should have the same denominator.
the denominators of the 2 fractions 9/16 and 1/2 are 16 and 2 respectively.
to bring them both to the same denominator we can multiply both numerator and denominator of 1/2 by 8 and we get ---> 8/16.
$(1*8)/(2*8) = (8)/(16)$
then the 2 fractions are 9/16 and 8/16. Now we can add the 2 fractions. when denominator is same the numerator values shoud be added.

$(9)/(16) + (8)/(16) = (17)/(16)$
This is an improper fraction since 16/16 is 1 whole and 1/16 is remaining, simplified fraction = 1 1/16

The addition of $\frac{9}{{16}} +(1)/(2)$ is $\boxed{\frac{{17}}{{16}}}.$