How do I get from this guy 3/2/(15/4) to 2/5?

Answer:

5

Step-by-step explanation:

2(3x + 6) = 42

(3x + 6) = 42/2

(3x + 6) = 21

3x + 6  = 21

3x  =  21 - 6

3x  =  15

x = 1/3

x = 5

Answer:

The answer would be x=5

Step-by-step explanation:

2(3x+6)=42

so what you're gonna do is use the distributive property, so you would multiply 2 and 3x, and 2 and 6. so then you would have:

6x+12=42

Now you want to get rid of the twelve so you can solve for x. So you are going to subtract 12 from 12 and 42. So now you have:

6x=30

Next you're going to divide 6x and 30 by 6. So you would have x=5

Answer: radius = 6.18 (I don't know what solutions you have, but the actual answer for the radius is about 6.18 cm so which ever is closest.)

Step-by-step explanation:

the area of a circle is \pi  r^{2}

*rewrite your equation solving for radius

r=\sqrt{A/\pi } =\sqrt{120/\pi } = 6.18

To find the Radius of a circle with an area equal to the area of a rectangle, multiply the length and width of the rectangle to get its area, then use the formula A = πr² to solve for the radius.

To find the Radius of a circle with an area equal to the area of a rectangle, we need to find the area of the rectangle and then calculate the radius of the circle using that area.

The area of the rectangle is found by multiplying the length and width, which in this case is 15 cm * 8 cm = 120 cm².

The area of a circle is given by the formula A = πr², where A is the area and r is the radius. Since the area of the rectangle is equal to the area of the circle, we can set up the equation 120 cm² = πr².

Solving for r, we get r ≈ 6.94 cm (rounded to two decimal places).

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Answer:he made an error in Step 3. He should have subtracted 2 from both sides.

Step-by-step explanation:

Answer:

It's c

Step-by-step explanation:

He made an error in Step 3. He should have subtracted 2 from both sides.

To find the length of line AB, use the midpoint formula and solve for AB.

To find the length of line AB, we can use the midpoint formula. Given that point T is the midpoint of line AB, we can set up the equation:

(AT + TB) / 2 = AB

Substituting the given values:

((3/4)x + 6 + (1/2)x + 9) / 2 = AB

Simplifying the equation:

(5/4)x + 15 / 2 = AB

(5/4)x + 7.5 = AB

Therefore, the length of line AB is (5/4)x + 7.5.

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Answer:

Step-by-step explanation:

speed = distance/time

so renaldo speed = 3.2/0.5 = 6.4miles/hr (since time taken is 1/2 hr)

now after 1 hr of his appoinment i.e at 5:30pm he took bus whose speed is same as before i.e 6.4 miles/hr

now time taken to cover this 4.8 miles = 4.8/6.4 = 3/4 hr (since time = distance /speed )

3/4 hr = 3/4 * 60 = 45 minutes

so he reached at 6:15pm . so he will be on time.

The value of an improper fraction is,

⇒ 74/9

We have to give that,

A mixed fraction is,

⇒ 8 2/9

Now, Change the fraction into an improper fraction as,

⇒ 8 2/9

⇒ (8×9 + 2)/9

⇒ (72 + 2)/9

⇒ 74/9

Therefore, The improper fraction is, 74/9

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Answer:

Look to the explanation

Step-by-step explanation:

* Lets think how to write a short story represents this expression

* Remember multiplication must solved before subtraction, so we

 can think that:

- 6 multiply by 24 can represented by six bags each one has 24 items

- Subtract f can be represented by someone takes 5

- We can chose bags or boxes for 6

- We can chose sweets or marbles to 24

- We can say sister or brother or friend takes 5

- Lets try to make a short story to represent this situation

* Nadine has six boxes of marbles. Each bag has twenty four

 marbles with different colors, she wants to give her sister

 Sarah 5 marbles. Write an expression to model this situation

* The expression is 6 * 24 - 5

Answer:

Joy went to 6 shops and bought 24 candies from each shop. After returning home he gives 5 candies to his brother. Find the number of candies left.

Step-by-step explanation:

Consider the provided expression.

[tex]6 \times 24 - 5[/tex]

Here the sign "×" represents repeated addition or multiplication.

The sign "-" represents the subtraction.

To define [tex]6 \times 24-5[/tex] we can imagine any real life situation.

Joy went to 6 shops and bought 24 candies from each shop. After returning home he gives 5 candies to his brother. Find the number of candies left.

8 * 5 = 40

Paolo gets $500/week for 40h/week.

500/40 = 12.5

He earns $12.50 an hour.

Answer:

38

Step-by-step explanation:

38 divided by 2 is 19

8 divided by 1 is 8

33 divided by 3 is 11

Answer:

38 shots were made.

Step-by-step explanation:

I just worked it out on paper.

The area of the sector is 84.78 square units

From the question, we are to determie the area of the sector.

The area of a sector can be calculated by using the formula,

[tex]A= \frac{\theta}{360}\times \pi r^{2}[/tex]

Where A is the area of the sector

θ is the central angle

and r is the radius

From the give information,

θ = 120°

r = 9

and π = 3.14

Putting the parameters into the formula, we get

[tex]A = \frac{120 ^\circ}{360 ^\circ} \times 3.14 \times 9^{2}[/tex]

[tex]A = \frac{1}{3} \times 3.14 \times 81[/tex]

[tex]A = 3.14 \times 27[/tex]

A = 84.78 square units

Hence, the area of the sector is 84.78 square units

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In order to get the answer you will have to divide 30 by 100 then divide the number you get from that by 20 to receive your answer.

20/x=100/30

(20/x)*x=(100/30)*x      

20=3.33333333333*x      

(3.33333333333) to get x

20/3.33333333333=6

=6

Therefore your answer is "6."

Hope this helps

Answer:

future value

Step-by-step explanation:

The value of the goal is called future value. Then the correct option is B.

The worth of a present asset at a certain stage in the future, depending on an estimated growth, is called future value (FV).

The FV estimate allows investors to make a reasonable assumption about equity investment earnings.

When Emma saves each month for a goal.

Then the value of the goal is called future value.

Thus, the correct option is B.

More about the future value link is given below.

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Answer:

1 2/3 yards of yellow fabric.

Step-by-step explanation:

5 1/3 = 3 2/3+y

5 1/3 - 3 2/3 = y

16/3 - 11/3 = y

5/3 = y

y = 1 2/3 yards of yellow fabric.

Answer:

y= # yellow fabric yards

5 1/3= 3 2/3+ y

Convert to improper fractions

((5*3)+1)/3= ((3*3)+2)/3 + y

16/3=11/3+y

Subtract both sides by 11/3

5/3=y

or

1 2/3=# yellow fabric yards

hope this helps

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There are 3 breads, 3 meats and 2 cheese.

To find the total different outcomes, multiply the 3 together:

3 x 3 x 2 = 18

There are 18 different possibilities.

The average temperature of 7 degrees below normal can be represented as the integer '-7'. This is because in mathematics, a 'below' situation often equates to a negative value.

The situation describes 'an average temperature of 7 degrees below normal'. In the context of integers, 'below' generally refers to a negative value. Hence, we would represent this situation with the integer '-7'. This is because a below normal temperature is often regarded as a decrease or loss, which is conventionally represented in mathematics as a negative value.

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The change in water is 5/24 cups.

Explanation:

First, we graph the linear function of y = -5x [as though it were an equivalence symbol], then, since there is a less than sign, we shade everything to the left of that.

I am joyous to assist you anytime.

Answer:

see explanation

Step-by-step explanation:

(a)

AC = AB + BC ← substitute values

AC = x + 2 + 7x - 3 = 8x - 1

(b)

QR = PR - PQ ← substitute values

QR = 13y + 25 - (8y + 5) ← distribute parenthesis by - 1

     = 13y + 25 - 8y - 5 = 5y + 20

Final answer:

The result of adding 30.09, 5.55, and 80.761 and rounding to the least number of decimal places (two decimal places) is 116.40, with four significant figures.

Explanation:

To solve the problem 30.09 + 5.55 + 80.761 and express the answer with the correct number of significant figures, you should first perform the addition and then round the result to the least number of decimal places of any number in the sum. The number with the least number of decimal places is 5.55 (two decimal places).

Here's the step-by-step calculation:

Add the numbers: 30.09 + 5.55 + 80.761 = 116.401

Round to two decimal places (because of 5.55): 116.40

So, the final result is 116.40, which has four significant figures and two decimal places.

a.  [tex]\frac{1}{20}[/tex] liters per glass

b. 50 milliliters

To find the amount of water in each glass, divide the total amount of water by the number of glasses, resulting in [tex]\frac{1}{20}[/tex] liters per glass. To express this in milliliters, multiply by 1000 to get 50 milliliters per glass.

a. To find the amount of water in each glass, divide the total amount of water ([tex]\frac{1}{4}[/tex] liters) by the number of glasses (5): [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex] liters per glass. Drawing a visual representation can help understand this partitioning.

b. To express the amount in milliliters, we know that 1 liter is equal to 1000 milliliters. So, [tex]\frac{1}{20}[/tex] liters per glass = ([tex]\frac{1}{20}[/tex]) * 1000 milliliters = 50 milliliters per glass.

To distribute the 250 milliliters equally into 5 glasses, we divide 250 milliliters by 5. This calculation results in:

250 milliliters ÷ 5 = 50 milliliters per glass.

To convert the amount in milliliters back to liters for each glass, recall that 1,000 milliliters is equivalent to 1 liter. Therefore, 50 milliliters is the same as 0.05 liters (since 50 divided by 1,000 equals 0.05).

The question is:

A pitcher of water contains [tex]\frac{1}{4}[/tex] liters of water. The water is poured equally into 5 glasses.

a. How many liters of water are in each glass? Draw a picture to support your response.

b. Write the amount of water in each glass in milliliters.

Answer:

10x+1

Step-by-step explanation:

The expression of the given description could be 10n + 1.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.

For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.

If something is for example, doubled, then you can multiply that thing by 2 and so on  methods can be used to convert description to mathematical expressions.

We have been given a statement as 'The product of a number and 10, increased by 1'

Where" the product " means multiply.

" increased " means add

Let the unknown number be n

So the expression could be;

10n + 1

Therefore, the expression of the given description could be 10n + 1 .

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Answer:

B = 68°  and  C = 22°

Step-by-step explanation:

Let angle B's measure be B and angle C's measure be C.

Also note that complementary means that they sum to 90.

Now:

The m∠B is two more than three times the measure of ∠C:

we can write:

B = 3C + 2

If ∠B and ∠C are complementary angles:

B + C = 90

Putting 1st equation in 2nd, we get:

B + C = 90

3C + 2 + C = 90

4C = 90 - 2

4C = 88

C = 88/4 = 22

Now B = 3C + 2, so

B = 3(22) + 2 = 68

Hence, B = 68 degrees and C = 22 degrees

Final answer:

The letter J is formed by the opposition movement of the thumb toward the fingers of the same hand.

Explanation:

The subject of this question is Biology, specifically the anatomy of the hand and the movement of the thumb.

The letter J is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them. This hand movement is an example of the opposition movement of the thumb toward the fingers of the same hand, which allows us to grasp and hold objects.

The thumb joint, which can move back and forth and up and down, but more freely than the wrist or fingers, plays a key role in the formation of the letter J.

Answer:

X = 6

Step-by-step explanation:

See Attachment

Answer:

3.08

Explanation:

The first 3 numbers (from left to right) are the ones counted as 3 significant figures. You alreadty start of 5 significant figures. What you do is count the numbers, from left to right, and once you get to the number you're finding (in this case the 3rd significant figure), then you look at the number to the right of it and see if it's over or under 5. Depending on which one it is will determine wiether you round up or stay at the same point.

Answer:

36%

1) 1/25= 0.04

2) multiply 0.04 by 9 (0.36)

Answer:

x=-2

Step-by-step explanation:

x+6=4

x-6=-6+4

x=-2

Answer:

-2

Step-by-step explanation:

x = 6 - 4

x = -2

Answer:

B on edg

Step-by-step explanation:

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