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3 years ago

Are these ratios equivalent?

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

Answer:

A, yes.

Step-by-step explanation:

63:60, 21:20:

The difference between 60 and 20 is *3. If you do that to 21, you get 63. So a , yes.

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Sammy buys his clothes at super discounts. On saturday he bought shoes regularly priced at $40 for 25% off, and jacket regularly

Georgia [21]

Answer:

A. $100

B. 29%

Step-by-step explanation:

A. To find total price of the items Sammy bought we will add the price of shoes and jacket after discount.

Let us find price of shoes after 25% discount.

$\text{Price of shoes after discount}=40-(\frac{25}{100}*40)$

$\text{Price of shoes after discount}=40-(\frac{1}{4}*40)$

$\text{Price of shoes after discount}=40-10=30$

Therefore, price of shoes after discount is $30.

Now let us find price of jacket after 30% discount.

$\text{Price of jacket after discount}=100-(\frac{30}{100}*100)$

$\text{Price of jacket after discount}=100-30$

$\text{Price of jacket after discount}=70$

Therefore, price of jacket after discount is $70.

Now let us add both prices to find the total price of the items.

$\text{Total price of items}=30+70$

$\text{Total price of items}=100$

Therefore, the total price of the items bought by Sammy is $100.

B. To find the percent discount which Sammy got on his total purchases, we will use percent change formula.

$\text{Percent change}=\frac{\text{Difference}}{\text{Original value}}\times 100$

Total price without discount= 100+40=140

$\text{Discount percent}=\frac{140-100}{140}\times 100$

$\text{Discount percent}=\frac{40}{140}\times 100$

$\text{Discount percent}=0.2857142857142857\times 100$

$\text{Discount percent}=28.57142857142857\approx 29$

Therefore, Sammy got approximately 29% discount on his total purchases.

7 0

4 years ago

3 of the digits 0-9 are chosen randomly by a computer what is the probability that it will choose 3 sequential digits?

Sindrei [870]

Answer:

B. 1/15

Step-by-step explanation:

The number of ways in which we can select x elements from a group of n elements is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, the number of ways in which a computer can select 3 digits is calculated as:

$10C3=\frac{10!}{3!(10-3)!}=120$

Because there are 10 digits from 0 to 9.

Then, from that 120 options there are 8 that have 3 sequential digits. These options are:

{0,1,2} {1,2,3} {2,3,4} {3,4,5} {4,5,6} {5,6,7} {6,7,8} {7,8,9}

So, the probability that it will choose 3 sequential digits is equal to:

$P=\frac{8}{120}=\frac{1}{15}$

7 0

3 years ago

A plane is flying at an altitude of 45,000 feet. It begins to drop in altitude 3,000 feet per minute. What is the slope in this

In-s [12.5K]

Answer: C which is -3,000

Step-by-step explanation:

3 0

2 years ago

If Tayler can travel 180 miles in 3 hours, how many miles can she travel per hour?

Mamont248 [21]

60 miles an hr.. Because 180 divides by three is 60 and that is the answer per hr

3 0

3 years ago

Read 2 more answers

1<br> How many milliliters are in 90 ounces?

statuscvo [17]

According to my math, there are approximately 2557.179 millilitres in 90 ounces.

6 0

4 years ago

Read 2 more answers