A machine packs boxes at a constant rate of 2/3 of a box every 1/2 minute. What is the number of boxes per minute that the machine packs?
A 1/3
B 3/4
C 1 1/6
D 1 1/3

Answer:

\(x=20^o\)

Step-by-step explanation:

from the diagram, we can define the remaining angle in the quadrilateral through the sum of angles in any quadrilateral, which is \(360^o\), so the remaining unknown angle should be:

\(360-(50+2x+x)=310-3x\)

now that we have the unknown angle, we can find x through the point at which the outer angle is. \(x+90\) degrees. (sum of angles at one point is 360 degrees)

\(310-3x +x+90=360\\\\400-2x=360\\2x=400-360\\x=20^o\)

The value of variable x is,

x = 20

We have to given that,

In the diagram below, all angles are given in degrees.

Since, the sum of angles in any quadrilateral is, 360 degree.

Let measure of fourth angle is, y

Hence, We get;

(50 + 2x + y + x ) = 360

50 + 3x + y = 360

3x + y  = 360 - 50

3x + y = 310

y = 310 - 3x

Now, We get;

(310 - 3x) + (x + 90) = 360

Solve for x,

310 - 3x + x + 90 = 360

400 - 2x = 360

400 - 360 = 2x

2x = 40

x = 40/2

x = 20

Therefore, The solution is, 20

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Answer: 8/10, 4/5, or 16/20

Step-by-step explanation: 0.8 means 8 tenths, because theres an eight in the ten section  >  >  >  >   ^    and 8/10 represents eight tenths, which can be reduced to 4/5

Answer:

Step-by-step explanation:

Step 1/4

Add the length of the first and last segments together: 10'.

Step 2/4

B: Take the length of the middle segment: 5'.

Step 3/4

C: Subtract B from A: 4'.

Step 4/4

D: Add C to D: 13'.

Answer:

Step-by-step explanation: You can split the shape into 2 shapes.

The volume of one shape is 126

The volume of the other is 150

You have to add them together and you get 276 cubic inches

Answer:

A. x+138

Step-by-step explanation:

Deposit into her bank account is adding money to her bank account. So that means she's adding $138 to her bank. Which gives us the expression of x+138.

Answer:

45

Step-by-step explanation:

6+30+48-1-9=45

Answer:     792 / 6 = 132

Step-by-step explanation:

  792             264

  -132.            -132

  660.            132

  -132.             -132

  528.                  0

  -132

 396

  -132

  264

Answer:

↔

CD

Step-by-step explanation:

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer:

52

Step-by-step explanation:

The value of the expression is 52(10/24).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1258 ÷ 24

This can be written as,

= 1258 / 24

  24 ) 1258 ( 52

          1248

             10

Now,

= 52(10/24)

Thus,

52(10/24).

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Answer:

0

Step-by-step explanation:

x+0+x = 0 so y must equal 0

Answer:

334.488

Step-by-step explanation:

I used a calculator lol

Answer:

Exact = 334.488 miles

Rounded, 72 × 5 = 360

Step-by-step explanation:

There were 3 decimal places in the factors, so after multiplying all the digits, put a decimal point 3 places from the right.

Your estimate from the rounded numbers is supposed to help confirm a reasonable answer.

(to a completely unrealistic scenario)

Rational numbers include positive and negative numbers and when multiplying those, there are two rules that you should follow: The Same Sign Multiplication Rule: The product of two positive or two negative numbers is positive. If the signs are the same then the result is positive.

    Rational numbers include positive and negative numbers and when multiplying those, there are two rules that you should follow: The Same Sign Multiplication Rule: The product of two positive or two negative numbers is positive. If the signs are the same then the result is positive.

                                            Just same answer

Step-by-step explanation:

(2/3)(-4)(9) = -24

(5/16)(-2)(-4)(-4/5)= -2

(-3/4)(7/8)=-21/32

(2 3/5) (7/9)=91/45

Answer:

400

Step-by-step explanation:

Answer: Your welcome!

Step-by-step explanation:

The answer is 1/36. To solve this, the first step is to simplify the expression by using the power rule for multiplication: (4^0 * 3^2)^-2 = (3^2)^-2. The next step is to use the power rule for division: (3^2)^-2 = 3^(-2 * 2) = 3^-4. Finally, we can use the power rule for negative powers: 3^-4 = 1/3^4 = 1/81 = 1/36.

Answer:

the 13th one is 115

Step-by-step explanation:

Answer:

D: No, because angle 2 and angle 6 are not congruent

Step-by-step explanation:

Angles 2 and 6 would need to be congruent for this problem to be true. The 10 degree difference may not be visually noticeable, but angles would have to be the exact same size for the lines to be parallel.

Answer:

3/10

Step-by-step explanation: you would count the total amount of marbles in the bag, which would be the denominator. Then you would count the amount of green marbles, which is 3, which would be the numerator. Your final answer would be 3/10.

Answer:

x^13y^-2

Step-by-step explanation:

The solution of given equation is 5.04.

To find the solution of given equation.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

4 1/5 ÷ 1 1/5 = 11 - 1 7/18x

convert into simple fraction form, we get

21/5 ÷ 11/5=11-17x/18

convert  divide into multiply

21/5*5/11=11-17x/18

cancel out 5 from numerator and denominator, we get

21/11=11-17x/18

same form are in same side

17x/18=11-21/11

after simply, we get

17x/18=121-21/11

17x/18=100/21

cross multiplication on both sides and find x,we get

x=100*18/21*17

x=5.04

So, the solution of given equation is 5.04.

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Answer:

x/3 == 300

Marcy earned $900 last week.

Step-by-step explanation:

For this problem let's consider that 3 equal parts, or "split her income from last week equally" is 3 parts of her entire paycheck.

So she put $300 into savings which is x/3, if we let x represent the amount in dollars of her entire paycheck.

Then we can say the following:

If x / 3 == $300, then x == $900.

x / 3 == 300

( x / 3) * 3 == 300 * 3

( x * 3 / 3 ) == 300 * 3

x == 300 * 3

x == 900

So you can say the following:

x/3 == 300

Marcy earned $900 last week.

Cheers.

Answer:

right of -7 and left of -1

took the test! gl!

Answer: A is certainly true.

Step-by-step explanation:

Answer:

Q

Step-by-step explanation:

\(\sqrt{23}\) = 4.8 = 4 4/5

\(\sqrt{23}\) = 4.79583152331...     If you round the answer it would be 4.8

Hope this helps you, can you mark me brainliest?

Answer:

The answer is Q i think but I'm not exactly sure.

Answer:

Step-by-step explanation:

To make the race close, the length of the race should be 450 meters.

Here's the reasoning behind the answer:

Let's first calculate how long it would take for Emile to catch up to Henri, assuming Henri starts 45 meters ahead.

The time it takes Emile to cover the same 45-meter distance is 45/2.5 = 18 seconds.

During this time, Henri would have walked a distance of 1 x 18 = 18 meters.

So, after 18 seconds, Emile will have caught up to Henri and will be 27 meters ahead of him (45 - 18 = 27).

To make the race close, we want Henri to finish just a split second before Emile. So, we can assume that Henri will finish the race just as Emile catches up to him.

Let's call the total distance of the race "d."

So, Henri will walk d meters, while Emile will walk d + 27 meters (the 27 meters is the distance Emile has to walk after catching up to Henri).

We can set up an equation to solve for d:

d/1 = (d + 27)/2.5

Solving for d, we get:

d = 450

So, the race should be 450 meters long for Henri to win in a close race.

Answer:

25.685 square feet.

Step-by-step explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.