Three friends ordered 2 pizzas.Each pizza was cut into 8 slices. If each person ate the same amount of slices, how many slices did each person eat?

The number of Douglas fir pine trees is 350, and the number of Ponderosa pine trees is 500

From the question, we are to determine the number of each kind of pine trees.

Let x represent Douglas fir pine trees

and y represent Ponderosa pine trees

From the first statement - There are 850 Douglas fir and Ponderosa pine trees

We can write that

x + y = 850 ------------- (1)

Also,

The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine; and the company paid $217,500 for the trees.

From this statement, we can write that

300x + 225y = 217500  ---------------- (2)

Now, we will solve the equations simultaneously

From equation (1)

x + y = 850

Then,

x = 850 - y ------------ (3)

Substitute this into equation (2)

300x + 225y = 217500

300(850-y) + 225y = 217500

255000 -300y + 225y = 217500

255000 - 75y = 217500

255000 - 217500 = 75y

37500 = 75y

∴ y = 37500/75

y = 500

Substitute the value of y into equation (3)

x = 850 - y

x = 850 - 500

x = 350

∴ x = 350 and y = 500

Hence, the number of Douglas fir pine trees is 350, and the number of Ponderosa pine trees is 500

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Answer:

you multiply the second equation by -2.

Step-by-step explanation:

to get rid of y and find x. Then you plug x into one of the equations to find y

Answer:5-y=a

Step-by-step explanation:

AnsWER:  22

Step-by-step explanation: (5+4)X 2+4

9X2+4

18+4

22

Answer:

12 + 2g ?

Step-by-step explanation:

6 + 6 = 12. g + g = 2g. So together you get 12 + 2g. I am not 100% sure.

Answer:

10

Step-by-step explanation:

1*4 -(3*(-2))=4-(-6)=4+6=10

Answer:

Hello, Subtract 4x 4 x from both sides of the equation. Divide each term by 3 3 and simplify. Divide each term in 3y=−4x+15 3 y = - 4 x + 15 by 3 3 . Use the slope-intercept form to find the slope and y-intercept.

Hope This Helps!

Answer:

5

Step-by-step explanation:

~Hope this helps!

Krystal~~

Answer:

B. -3.

Step-by-step explanation:

If we take a look at the point (0, 1) in f(x), and compare it to the point (5, -2) in g(x), we can see that the point is simply moved to the right (translated horizontally) and moved down (translated vertically). Since k represents the vertical translation, the value must be -3.

1 -> -2

k = -3.

Answer:

B. -3

Step-by-step explanation:

Because I did the unit test

Step-by-step explanation:

[tex] \because \: \cos \theta = \frac{1}{\sec \theta} \\ \\ \therefore \: \cos \theta = \frac{1}{2} \\ \\ \therefore \: \cos \theta = \cos 60 \degree \\ \\ \huge \red{ \boxed{\therefore \: \theta = 60 \degree}}[/tex]

Answer:1/2

Step-by-step explanation:Plato

Answer:

You just divide the numbers to get the hourly pay.

98÷5÷2

$9.80/hr

Answer:

15 and 9/10 or 15.9

Step-by-step explanation:

4_2/5 + 3_3/10 = 4_4/10 + 3_3/10 = 7_7/10

8_1/5 = 8_2/10

8_2/10 + 7_7/10 = 15 9/10

or 15.9

Answer:15 and 9 10ths

Step-by-step explanation:

Answer:

[tex]1\frac{7}{18}[/tex]  or one seven eighteenths

Step-by-step explanation:

we know that

12 one half times one nine is the same that multiply 12 one half by one nine

so

[tex](12\frac{1}{2})(\frac{1}{9})[/tex]

Convert mixed number to an improper fraction

[tex]12\frac{1}{2}=12+\frac{1}{2}=\frac{12*2+1}{2}=\frac{25}{2}[/tex]

substitute

[tex](\frac{25}{2})(\frac{1}{9})=\frac{25}{18}[/tex]

Convert to mixed number

[tex]\frac{25}{18}=\frac{18}{18}+\frac{7}{18}=1\frac{7}{18}[/tex]

therefore

12 one half times one nine is one seven eighteenths

Answer:

100000

Step-by-step explanation:

f(5)=10^5

f(5)=100000

Answer:

100,000

Step-by-step explanation:

Answer:

[tex](x^2)^2=x^4[/tex]

Step-by-step explanation:

Because of the power of a power property states that [tex]((x^n)^m)=x^{n\times{m}}[/tex], where n and m are real numbers, then, the expression you have just posted can be simplified by applying this property to [tex](x^2)^2=x^{2\times2}=x^4[/tex].

Answer:

67%

Step-by-step explanation:

we are given the probability of rain tomorrow of 60 % and  a 40% chance of wind and rain. we are asked for the probability that it is windy, given that it is rainy. The formula that should be used is the quotient of the probability with "and" over the probability of the rain only. Hence, P[W U R ] / P [R] =  0.4 / 0.6 = 2/3 = 67%

:Answer: 67%

Step-by-step explanation:

APEX

The estimation of the total number of soccer matches in Greenville's annual tournament, with 8 matches each day for around 20 days, is approximately 160 matches.

The student is asking for an estimation of the total number of soccer matches in Greenville's annual tournament. There are 8 matches each day, and the tournament runs for 17 days. The part of the question that asks you to round to the nearest ten refers to the 17 days, as this is the larger number. Rounding 17 days to the nearest ten would give us 20 days. Therefore, to estimate:multiply the rounded number of days (20) by the number of matches per day (8), yielding an estimate of 160 soccer matches during the tournament.

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Final answer:

The estimated number of soccer matches during Greenville's annual soccer tournament is 160 matches, calculated by rounding 17 days to 20 and multiplying by 8 matches per day.

Explanation:

To estimate the number of soccer matches during Greenville's annual soccer tournament, we round the larger number (17 days) to the nearest ten. Since 17 is closer to 20 than it is to 10, we round up to 20 days for our estimation. With 8 soccer matches per day, we then calculate the estimated number of matches as 8 matches/day × 20 days.

8 matches/day × 20 days = 160 matches

Therefore, an estimated 160 soccer matches will be played during the tournament.

Answer: 722

Step-by-step explanation:

Add 700, 10, and 12. Your answer added altogether is 722.

Answer:

b

Step-by-step explanation: i just know

Answer:

bb

Step-by-step explanation:

Many of the colors in them were "home dyed," as commercial dyes were unknown is the correct answer because "As" correctly begins the subordinate clause and shows the relationship to the main clause

Answer: yes

Step-by-step explanation:Can you brainless me

Allen and Beverly both thought of the number 18. When Allen doubled the number and added 15, he got 51. Beverly, in reverse order, subtracted 15 from the number and then doubled it to get 6.

Let the number that Allen and Beverly thought of be represented by 'x'.

Allen doubled the number and added 15 to the result, which gives us the equation:2x + 15 = 51

Now, we need to solve for 'x' to find the original number.

Subtract 15 from both sides of the equation: 2x = 51 - 15

2x = 36

Now, divide both sides by 2 to isolate 'x': x = 36 / 2

x = 18

So, Allen and Beverly both thought of the number 18.

Now, Beverly performs the same operations but in reverse order: 1. She starts with the number 18.

2. She subtracts 15 from it:18 - 15 = 3

3. Then, she doubles the result:2 * 3 = 6

So, Beverly gets the result of 6 by performing the same operations in reverse order.

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Answer:

5(2x + 7)

Step-by-step explanation:

Answer:

look at the picture shown

Answer:

(x - 8)^2

Step-by-step explanation:

Factor the following:

x^2 - 16 x + 64

The factors of 64 that sum to -16 are -8 and -8. So, x^2 - 16 x + 64 = (x - 8) (x - 8):

(x - 8) (x - 8)

(x - 8) (x - 8) = (x - 8)^2:

Answer: (x - 8)^2

Answer:

78 degrees

Step-by-step explanation:

It’s already above the grown by 8 feet 100 feet in the air but can only go 70

Answer:

B) {-8,-2,3,4,7,11}

Step-by-step explanation:

range is y

Final answer:

The range of the set of points {(3, 4), (7, -2), (11, – 8)} is the set of their y-values, which are -8, -2, and 4. So the range is {-8, -2, 4}.

Explanation:

The range of a set of points in mathematics refers to the difference between the highest and lowest y-values (also known as the vertical coordinate) in the set. Looking at the provided set of points {(3, 4), (7, -2), (11, – 8)}, we identify the y-values as 4, -2, and -8. To find the range, we look for the highest and lowest y-values. The highest y-value among these points is 4, and the lowest is -8.

The range consists of all the y-values which the function or set of points may take. Consequently, within this set of points, the range encompasses all values from -8 up to 4. Therefore, the correct answer listing those y-values is Option C: {-8, -2, 4}

By using the tangent function tan(31°) = opposite/adjacent, and knowing the rock's height of 555 meters, we can find the distance from the rock that Archimedes should sleep to wake up with direct sunlight. The distance is calculated as the height of the rock divided by the tangent of the angle of the sun, which will give the desired result.

To find out how far from the rock Archimedes went to sleep, we can use the concept of trigonometry. Specifically, we will use the tangent function, which relates the angle of the sun to the height of the rock and the distance of the shadow on the ground.

Given that the sunshine angle is 31 degrees and the rock is 555 meters tall, we can set up our equation using the tangent function: tan(31°) = opposite/adjacent, where the opposite side is the height of the rock, and the adjacent side is the distance from the rock where Archimedes slept.

The equation would look like this:

tan(31°) = 555 / distance

To solve for the distance, we rearrange the equation:

distance = 555 / tan(31°)

By calculating this, we would get the distance where Archimedes should sleep to be woken by the direct sunlight.

Answer:

[tex]Any\ two\ equations\ x,\ 54.57-x\\\\For\ example\ 23.37+31.20=54.57[/tex]

Step-by-step explanation:

[tex]Let\ first\ decimal=x\\\\Second\ decimal=y\\\\x+y=54.57\\\\y=54.57-x\\\\so\ any\ two\ decimal\ x\ and\ 54.57-x\ will\ give\ 54.57\\\\If\ we\ take\ first\ decimal(x)=23.37\\\\second\ decimal=54.57-23.37\\\\second\ decimal=31.20\\\\\Rightarrow 23.37+31.20=54.57[/tex]

Answer:

Tina makes per hours [tex]=\$11.925[/tex]

Step-by-step explanation:

Tina makes [tex]8[/tex] hours [tex]=\$10.40[/tex]

and additional tips [tex]=\$85[/tex]

total amount makes for [tex]8[/tex] hours [tex]= \$10.40+\$85[/tex]

total amount makes for [tex]8[/tex] hours [tex]=\$95.40[/tex]

total amount makes for [tex]1[/tex] hours [tex]=\frac{total\ amount}{total\ time}\\\\=\frac{\$95.40}{8}\\\\=\$11.925[/tex]

Answer:

0.20

Step-by-step explanation:

0.20