These two rectangular prisms are similar. What’s the volume of the larger prism?
810
216
300
900

Answer:

The second option.

Step-by-step explanation:

The reasoning behind this is because it is a mixed fraction and the rest aren't.

Hope that helps!

Answer:

D. $2 million

Step-by-step explanation:

make it a porportion - easier to complete the problem..

30,000 / ? = 1.5% / 100%

30,000 * 100 = 3,000,000 / 1.5% = 2,000,000

hope this helps!!

Answer:

x = 14

Step-by-step explanation:

W and Z are adjacent angles. So they are supplementary and add to 180 degrees.  

W + Z = 180  

9x - 3 + 3x + 15 = 180  

12x + 12 = 180 12x = 180 - 12  

12x = 168  

x = 168/12  

Answer:

Please, refer to the images below

Step-by-step explanation:

We need to solve for x in the equation

cos (x+ pi) ^2 = sin (x)

cos (x+ pi) = - cos(x)

(-cos (x)) * (-cos (x)) = sin(x)

cos(x) ^2 = sin(x)

We know that

cos(x) ^2  + sin(x) ^2  = 1

cos(x) ^2 = 1 - sin(x) ^2

1 - sin(x) ^2 = sin(x)

sin(x) ^2 + sin (x) -1 = 0

Let A = sin(x)

A^2 + A - 1 = 0

(solutions attached in picture 1)

This means that

x = arcsin(A)

(solutions attached in picture 2)

Answer:

x = 140

Step-by-step explanation:

The figure is a quadrilateral. That means it has 4 sides and more importantly for this question 4 angles. All quadrilaterals have 4 angles that add up to 360o.

You know 3 of the angles. The fourth one is x.

90 + 90 + 40 + x = 360                    Combine like terms on the left

220 + x  = 360                                  Subtract 220 from both sides.

220 - 220 + x = 360 - 220               Combine all like terms

x = 140

Answer:

A) The worker is paid S= $ 1110 for producing 18 units.

B) The worker is paid $3,330 for producing x= 50 units.

Step-by-step explanation:

a) given x = 18 units

Time required T(x) = 4x+2

                               = 4(18)+2

                               = 72 +2

                               = 74 hrs

Amount paid S(T) = 15 T

                             = 15 ( 74) = $ 1110

b) Since S is given, S= $3,030

     S(T)= 15 (T)

     3030 /15= T

     202 hrs= T

Now, we can find x:

  T(x) = 4(x) +2

  202 = 4x + 2

  202-2 = 4x

  200 / 4 =x

  50 = x

so, worker produces 50 units.

Answer:

500

Step-by-step explanation:

Given: P = 150 - T where P is passenger cars and T is trucks

10P = 7T ⇔ P = [tex]\frac{7T}{10}[/tex]

Plug in equation 2 into equation 1:

[tex]\frac{7T}{10}[/tex] = 150 - T

Solving for T, we get 500

Answer:

There would be 500 passenger cars and 350 trucks.

Step-by-step explanation:

In order to find this, we need to create a system of equations. Start by making the number of passenger cars as x and the number of trucks at y. Now the first equation can be the difference of the two.

x - y = 150

The second equation can make use of the proportion. If we multiply by the opposites we'll get the difference of 0.

7x - 10y = 0

Now we multiply the first equation by -10 and add together to solve for x.

-10x + 10y = -1500

7x - 10y = 0

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

-3x = -1500

x = 500

Now we can find the amount of trucks by using either equation.

x - y = 150

500 - y = 150

-y = -350

y = 350

Answer:

[tex]3)~v=8491mm^3[/tex]

Step-by-step explanation:

3) volume of cylinder is...

v= πr²h

plug r= 13 and h=16

so, your answer is B

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

hope it helps...

have a great day!!

Answer: 80

Step-by-step explanation:

Lol. So we are trying to find x, yeah?

Whatever 2 angles that are inside the triangle add up to x.

And you know a triangle adds up to 180°

So do 180 - 100 = 80°

So, x = 80°

:)

Answer:

21

Step-by-step explanation:

answer A , that could not be point

Answer:

Options a and c

Step-by-step explanation:

A unit circle is one which has origin as centre and radius as 1.

The equation of the unit circle would be

[tex]x^2+y^2 =1[/tex]

Thus we find that any point satisfying the above equation lies on the unit circle

Let us try the given points one by one

a) [tex](0.8)^2+(-0,6)^2 =1[/tex]. Hence lies on the circle

b) (1,1)

Cannot lie on circle since [tex]1^2+1^2 \neq 1[/tex]

c) [tex](\frac{-2}{3} ,\frac{\sqrt{5} }{3} )\\(\frac{-2}{3})^2+(\frac{\sqrt{5} }{3} )^2 =1[/tex]. Hence lies on the circle

d) [tex](\frac{\sqrt{3} }{2} ,\frac{1}{3} )\\(\frac{\sqrt{3} }{2})^2+(\frac{1}{3} )^2\\\neq 1[/tex]

Hence does not lie on the circle

Only option A,C are right

Answer:

[tex]\frac{45-b}{25}[/tex]

Step-by-step explanation:

given

45 = 25m + b ( isolate the term in m by subtracting b from both sides )

45 - b = 25m ← divide both sides by 25

[tex]\frac{45-b}{25}[/tex] = m

Answer: 16

Step-by-step explanation: If 3 black circles equal 30, we can divide that by 3 and get 10. If 1 black circle and 2 white circles equal 18, we can subtract 10 and get left with 2 white circles worth 8, which means a white circle is 4. A white circle minus a square is 2, which means a square is 2. So we put this all together and get 16.

1: -b

2:√b^2

3: -4ac

4: ÷2a

Answer:

162.5

Step-by-step explanation:

subtract 35 away from 180 then divide it by 2 = 162.5

Check the picture below.

recall that a flat-line has 180°.

ANSWER

2160 cubes

EXPLANATION

The given rectangular prism has edge lengths,

9 inches,9inches and 3⅓ inches.

The volume of this rectangular prism is

[tex]V = 9 \times 9 \times \frac{10}{3} [/tex]

[tex]V = 3 \times 9 \times 10 = 270 {in}^{3} [/tex]

A cube with unit edges of length

[tex] \frac{1}{8} [/tex]

has volume.

[tex]v = {( \frac{1}{8}) }^{3} = \frac{1}{8} [/tex]

The number of unit cubes that can go into the prism is

[tex] = \frac{270}{ \frac{1}{8} } = 2160[/tex]

the probability that the roll of a six-sides die will be either even or odd is 1/2 or 50%

The probability of a six-sided die will be either even or odd is 1/2.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A die is rolled once.

The sample space = {1, 2, 3, 4, 5, 6}

An even number sample space = {2, 4, 6}

Odd number sample space = {1, 3, 5}

The probability of a six-sided die will be either even or odd,

= 3/6

= 1/2

Therefore, 1/2 is the probability.

To learn more about the probability;

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Answer:

The error is:

He multiplied the dividend by 100 instead of 10

Step-by-step explanation:

∵ 1.926 ÷ 0.9 ⇒ means

  1.926 = 1926/1000 ⇒ dividend

  0.9 = 9/10 ⇒ divisor

* [tex]\frac{1926}{1000}[/tex] ÷ [tex]\frac{9}{10}[/tex]

 [tex]\frac{1926}{1000}[/tex] × [tex]\frac{10}{9}[/tex]

 [tex]\frac{1926}{100}[/tex] × [tex]\frac{1}{9}[/tex]

∵ 1926/100 = 19.26 ⇒ dividend

∴ 19.26 ÷ 9 = 1926/100 ÷ 9

  19 ÷ 9 = 2 with remainder 1/9

  12 ÷ 9 = 1 with remainder 3/9

  36 ÷ 9 = 4 no remainder

∴ The quotient is 214/100 = 2.14

Answer:He multiplied the dividend by 100 instead of 10

Step-by-step explanation:

Answer: His gross pay is $461.

Step-by-step explanation: George’s gross pay consists of two parts, his salary and his commission. His salary is $350, regardless of how much he sells. His commission is 6% of the $1,850 in sales that he made.

First, calculate the amount of commission = .06 x $1,850 = $111

$350 + $111 = $461

Answer:

The volume of the rectangular one-story house is [tex]18,000\ ft^{3}[/tex]

Step-by-step explanation:

we know that

To find the volume, multiply the area of the base by the height

so

[tex]V=1,800*(10)=18,000\ ft^{3}[/tex]

Answer:

Step-by-step explanation:

y-intercept is for r = 0.

We have the equation y = -3 - 7r.

Substitute r = 0:

y = -3 - 7(0) = -3 - 0 = -3

Other way.

The slope-intercept form of an equation of a line:

y = mx + b (y = mr + b).

m - slope

b - y-intercept

We have the equation y = -3 - 7r = -7r - 3. Therefore m = -7 and b = -3.

Answer:

s > 5

Step-by-step explanation:

s is the number of cookies Sue has.

Since she has more than 5 cookies, the number of cookies she has is greater than 5.

Hello there! An inequality modeling this could be x > 5.

When setting up this equation, we can use x to model the number of cookies that Sue has.

Remember that these are the symbols we use to represent inequalities:

< - greater than

> - less than

≤ - greater than or equal to

≥ - less than or equal to

Since the number of cookies Sue has is greater than 5 (but not equal to), we use the symbol.

We can represent her having x amount of cookies, which is more than 5, like this: x > 5,

I hope this helps and have a great day! :)

Answer:

The correct options are c, d and e.

Step-by-step explanation:

From the given graph it is clear that the length of BC is 5 units.

Christopher made a scaled copy of the following trapezoid.

1. If a the scale factor is less than 1 then the image is smaller than its original figure.

2. If a the scale factor is greater than 1 then the image is larger than its original figure.

It is given that he used a scale factor greater than 1. So, the scaled copy of the following trapezoid is larger than the given trapezoid.

The length of corresponds with BC is greater than 5.

[tex]\frac{1}{5}<5[/tex]

[tex]4<5[/tex]

[tex]15.5>5[/tex]

[tex]24>5[/tex]

[tex]18>5[/tex]

Therefore, the correct options are c, d and e.

2 dive by 1/4= 8

6 dive by 1/3 = 18

2 dive by 1/3 = 6

5 dive by 1/2= 10

1/6 dive by 2= 1/12

1/3 dive by 6= 1/18

3 dive by 1/4= 12

1/2 dive by 5= 1/10

Answer:

Step-by-step explanation:

0.01041666666

Answer:

A)−3(y + z = 4)

Step-by-step explanation:

Equation P: y + z = 4  

Equation Q: 3y + 7z = 15  

To eliminate the y term,  The equations have to have the coefficients on y equal and opposite.

Equation Q has 3y, so Equation P needs -3y

Multiply equation P by -3

−3(y + z = 4)

Answer:

A

Step-by-step explanation:

Answer:

0.000111

Step-by-step explanation:

0.0015 is a decimal between 0.001 and 0.002.

A number system is defined as a system of writing to express numbers.

To find a decimal between 0.001 and 0.002, you can take the average of the two numbers.

The average of 0.001 and 0.002 is:

(0.001 + 0.002) / 2

= 0.003 / 2

= 0.0015

Therefore, 0.0015 is a decimal between 0.001 and 0.002.

To learn more on Number system click:

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Answer:

a. how old are the people living in ______(where you are)?

b. What is the people living in _____ (where you are) favorite color?

c.  What is the age of the principals in the schools that are in ____ county?

3. How far do the students at _____ school live from school?

4. Do the students at ___ school enjoy to write with pencils, pens, markers, or crayons the most?

5. What is the age of the math teachers in the schools that are in ____ county?

Step-by-step explanation:

Answer: 480 patients

Step-by-step explanation:

If each nurse can treat for patients and there are 120 nurses, you need to multiply 120 nurses x 4 patients each.

120 x 4 = 480

120 nurses can treat 480 patients.

Answer:

$375

Step-by-step explanation:

subtract 9,000 from the 12,000, then divide the 3,000 by 8 and you get 375.

She needs to save $375 each month. This is because the total she needed was $12,000 but her mom paid $9,000 which leaves $3,000 and she has eight months and 3,000 divided by 8 = $375

Hope this helps.