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3 years ago

4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and

Mathematics

1 answer:

Anon25 [30]3 years ago

4 0

Answer:

Form an equation:

let x be the price of a shirt

Then, the price of a sweater would be x - 5

So you would have:

4(x - 5) + 3x = 200

simplify

4x - 20 + 3x = 200

7x - 20 = 200

add 20 to both sides

7x = 220

divide both sides by 7

x = about 31.43

That means the cost of the sweater would be 31.43 - 5 = 26.43

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Ben's living room is a rectangular measuring 12 yards x 204" by how many feet does the length of the room exceed the with the le

Firlakuza [10]

Answer:

The length of the room exceeds the width by 19 feet

Step-by-step explanation:

From the question, the room measures 12 yards x 204", that 12 yards x 204 inches. To determine by how many feet the length of the room exceeds the width, we will first convert both units of measurement ( yards and inches) to feet.

To convert 12 yards to feet,

1 yard = 3 feet

∴ 12 yards will be 3 × 12 feet = 36 feet

To convert 204" to feet

12" = 1 foot

∴ 204" will be 204/12 feet = 17 feet

Hence, the room measures 36 feet × 17 feet

That is, Length of the room = 36 feet

and width of the room = 17 feet

Now, to determine by how many feet the length of the room exceeds the width, we will deduct the width of the room from the length of the room, that is,

36 feet - 17 feet = 19 feet

Hence, the length of the room exceeds the width by 19 feet.

6 0

3 years ago

A=v1-v0/t solve for v1

Tom [10]

A=v1-v0/t
a*t=v1-v0
(a*t)+v0=v1

3 0

3 years ago

There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, wh

Mrac [35]

Answer:

$20.5\%$

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

$\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}$ ,

The $\frac{1}{5}$ represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The $\frac{4}{5}$ represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): $\binom{5}{2}=10$ .

Therefore, the probability the student gets two questions correct is:

$\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}$

6 0

3 years ago

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how m

jok3333 [9.3K]

Answer:

52 young calves

Step-by-step explanation:

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

The ration is given as:

adult milking cows to young calves

= 9 : 2

= 234 : x

= 9/2 = 234/x

x = Number of young calves

Cross Multiply

9 × x = 2 × 234

= x = 2 × 234/9

x = 468/9

x = 52

Hence, the number of young calves on the farm is 52.

7 0

3 years ago

Jill incorrectly subtracted the two mixed numbers to find how much more blue fabric than purple fabric she should buy. Her work

Pavlova-9 [17]

41-32=9
12-9=3

9 is not equal to 3

6 0

3 years ago