Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.

Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”

Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”

Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”

Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”

Which student’s work is correct?
Alyssa
Rahul
Toni
Wilhem

Answer:

D) 37 cars/hour

Step-by-step explanation:

148/4=37

Answer:

52

Step-by-step explanation:

Of means multiply and is means equals

25% * W = 13

Changing to decimal form

.25W =13

Divide each side by .25

.25W/.25 = 13/.25

W =52

Answer: sac fungi

Step-by-step explanation:

x = 41 cm

Here is why:

For this question we have to use the pythagorean theorem, which is used for right triangles. The hypotenuse will always be the last in this theorem.

[tex]a^2+b^2=c^2[/tex]

Plug in.

[tex]9^2+40^2=c^2[/tex]

[tex]81+1,600=c^2[/tex]

Add together.

[tex]1,681=c^2[/tex]

Now we will find the square root of 1,681, since c is squared.

[tex]\sqrt{1,681}[/tex]

= 41 cm

Answer:

-11/3

Step-by-step explanation:

Answer:

b. 504

Step-by-step explanation:

In this case, we have to apply the permutation formula, since the order is important and it cannot be repeated. The formula is as follows:

nPr = n! / (n-r)!

From 0 to 9, there are 10 digits, but we must remember that the number 7 has already been used and cannot be repeated, therefore n = 9. And they are 4 digits but only 3 are needed, therefore r = 3.

Replacing:

9P3 = 9! / (9-3)!

nPr = 504

Therefore the answer is b.

Answer:

A, the first one

Step-by-step explanation:

Answer:

I BELIEVE THAT THE ANSWER IS A.

Answer:

you can not plant 1 and a half of a seed

Step-by-step explanation:

Answer: the answer is the answer cannot be a whole number

Step-by-step explanation:

your welcome

The answer is D, because -2/3/2 = -4/3.

Answer:

the answer is D

Step-by-step explanation:

-2/ 3/2

= -2 × 2/3

= -4/3

Answer:

196

Step-by-step explanation:

12*13+8*5

Answer:

$196

Step-by-step explanation:

First, you have to know how many total there are for each. In total, there are 13 books and 8 magazines. We also need to know how much all of these cost. So, you multiply 13 by 12 to find the total cost of the books. 13 books times 12 dollars each is $156. Now, we do the same for the magazines. 8 magazines times 5 dollars each is $40. To find how much she spent in all, you have to add the two numbers.

$156 plus $40 is $196.

Answer:

C =75.36 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2 *3.14 *12

C =75.36 cm

Answer:

Juan would need to fill up the 1/4 measuring cup 24 times.

Step-by-step explanation:

So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!

Juan would need to use his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour. This is solved by multiplying the number of quarters (4) in a cup with the total cups Juan needs (6).

In order to understand the problem, we need to consider that each cup contains 4 quarters. So, if 1 cup equals 4 quarters, then 6 cups, the amount Juan needs for his recipe, would be 6 multiplied by 4, which is 24. Therefore, Juan would need to fill his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour.

This is a problem of mathematics, precisely about ratios and proportions, commonly taught in middle school.

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So, the triangle is equilateral, all its sides are equal⇒

AB=BC=AC=8

In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒

AO=OC=8:2=4

by the Pythagorean theorem

[tex]8^2=4^2+BO^2\\BO^2=64-16\\BO=\sqrt{48} \\BO=4\sqrt{3}[/tex]

Answer: BO=4√3

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

The difference of the circumference of the pie container and pie is 6.3 inches.

Step-by-step explanation:

Given,

The radius of the pie container (R) = 9 in

The radius of the pie (r) = 8 in

To find the difference of the circumference of the pie container and pie.

Formula

The circumference of a circle = 2πr

Now,

The circumference of the pie container = 2×π×9 = 18π in

The circumference of the pie = 2×π×8 = 16π in

Hence,

The difference = 18π-16π = 2π = 6.28 = 6.3 inches (approx)

Answer:

Step-by-step explanation:

purple goes to the first

green goes to the third

teal goes to the last

orange goes to second

Answer:

radious 7

diameter 14

Step-by-step explanation:

Final answer:

The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle.

Explanation:

The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle. Since the value of π is approximately 3.14159, you can divide the circumference of the circle by 2π to find the radius.

For example, if the circumference of the circle is 10 units, the radius would be 10/(2π) units.

Remember to use the appropriate units for both the circumference and the radius.

Answer:

57.8  and 32.2 degrees

Step-by-step explanation:

Complementary angles = 90 degrees

90-57.8= 32.2

Answer: fraction = 1/20 or 0.05

Step-by-step explanation:

Let's first convert metre to centimeter

1 metre = 100 centimeters

Given that Each fourth meter is marked off and divided into 5 smaller equal lengths. This means:

1/4 × 100 = 25

Then divide 25 into 5 places

25/5 = 5cm

If Mr. Hopkins bends the wire at - meter, what fraction of the smaller marks is that?

The fraction = 5/100 = 1/ 20 or 0.05

Answer:

12.57

Step-by-step explanation:

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Answer:

4pi

Step-by-step explanation:

Pi * r^2 = area of circle

r = 2

pi*2^2 =

4pi

The solution to the system of linear equations represented by D and Dx is (x,y,z) = (5, 4, -11), which corresponds to option A.

To solve for Dx in the given system of linear equations, we multiply matrix D by the unknowns (x, y, z). So let's assume that Dx = (x, y, z).

By comparing the results of Dx and the given matrix, we can write the system of equations as:

By solving this system of equations, we can find that the solution is (x,y,z) = (5, 4, -11), which corresponds to the multiple-choice option A.

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To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ. By calculating the inverse of matrix D and substituting the values of Dx, we find that the solution is (5, 7, -9).

To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ

Let's use matrix inversion to solve for x. We know that Dx = Dⁿⁿ can be rewritten as x = Dⁿⁿ −1 Dx. To find Dⁿⁿ −1, we need to calculate the inverse of matrix D:

After calculating the inverse of matrix D, we can substitute the values of Dx into the equation x = Dⁿⁿ −1 Dx to find the solution.

Plugging in the values of Dⁿⁿ and Dx, we get x = (5, 7, -9).

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Answer:

g(x)=9

Step-by-step explanation:

use a vertical line to determine what the y value is for g(x)

g(x)=9

Step-by-step explanation:

use a vertical line to determine what the y value is for g(x)

Answer:

BF = 30

Step-by-step explanation:

Since B and F are midpoints of AC and AE then BF is a midsegment and is one half the measure of the third side CE, thus

BF = 0.5 × 60 = 30

The value of BF will be, 30 units.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In this picture;

B, D, and F are midpoints.

And, AC = 50, CE = 60 and BD = 35.

Here, C is midpoint of CE.

Hence, We get;

⇒ CD = 1/2 × 60

           = 30

Here, The length of BF is equal to the length of CD.

Hence, The value of BF = 30 units.

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Answer:

98.4

Step-by-step explanation:

Multiply 3.28 by 30

Answer:

$98.40

Step-by-step explanation:

3.28x30=98.4

Answer:

C =56.52 ft

Step-by-step explanation:

The circumference is found by

C = 2*pi*r  where r is the radius

C = 2*3.14 * 9

C =56.52 ft

Answer:

48°

Step-by-step explanation:

We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.

This means the tangent of x° =  [tex]\frac{10}{9}[/tex]. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:

[tex]x = arctan (\frac{10}{9})[/tex]

Using a calculator, the answer would be:

[tex]x = 48.0128[/tex]

Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.

Answer:

choice C. y = 4

Step-by-step explanation:

Simplify  11^-4 / 11^-8

=  11^(-4 - (-8) ) =  11^(-4+8)  =  11^4

so

11^4 = 11^y

means  y = 4

Answer:

The had read the books for 12 minutes.

Step-by-step explanation:

Let the number of minutes be x.

Tess = 51 + 1x

Ronald = 15 + 4x

When both read the same number of pages :

51 + 1x = 15 + 4x

3x = 36

x = 12

Answer:

(9,-6)

Step-by-step explanation:

The difference between the x coordinates (3 and 6) is 3 and the y coordinates (2 and -2) is -4, so the differences need to be the same from the midpoint to the other point.

6+3=9

-2+(-4)=-6

So the coordinates are (9,-6)

Answer:

One of these numbers is a cube number which means that it could be 1,8, or 27 because those are the first three cube numbers.

If you go with one then you have to find two more numbers that add up to 35 and are a factor of 20, which is not possible.

Then you use 8, which means you have to find two numbers that add up to 26, and are factors of 20, which could be nothing, there aren't any.

Last you do 27 which means you need to find two numbers that add up to 9 and are factors of 27, which can be 4 and 5, because 4+5=9 and 4*5=20.

27,4,5

Hope this helps ;)