Last summer, 54,849 people went on a vacation. This year it is expected that an additional 9,499 people will take a summer vacation. How many people will be taking a summer vacation in all?

[tex]\frac{2}{3} (m+4) = \frac{1}{5} (3m+9)[/tex]

[tex]\frac{2m+8}{3} = \frac{3m+9}{5}[/tex]

10m + 40 = 9m + 27

10m - 9m = 27 - 40

m = -13

Answer:

m = - 13

Step-by-step explanation:

2/3 (m + 4) = 1/5 (3m+9)

2/3m + 8/3 = 3/5m + 9/5

2/3m - 3/5m = 9/5 - 8/3

10/15m - 9/15m = 27/15 - 40/15

1/15m = - 13/15

m = - 13/15 / 1/15

m = - 13/15 * 15

m = - 195/15

m = - 13

Answer:

x-y=3-1=2

Step-by-step explanation:

[tex]8x-4y=20[/tex]                            [tex]4x-8y=4[/tex]

[tex]8x=20+4y[/tex]                            [tex]4(\frac{20+4y}{8})-8y=4[/tex]

 [tex]x=\frac{20+4y}{8}[/tex]                                               [tex]\frac{80+16y}{8} -8y=4[/tex]

 [tex]x=\frac{20+4}{8}[/tex]                                                [tex]10+2y-8y=4[/tex]

[tex]x=\frac{24}{8}[/tex]                                                 [tex]10-6y=4[/tex]

[tex]x=3[/tex]                                                  [tex]-6y=4-10[/tex]

                                                   [tex]-6y=-6[/tex]

                                                    [tex]y=1[/tex]

so x-y=3-1=2

Answer:

The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.

Step-by-step explanation:

The daily consumption of water in the farm must be:

[tex]x = (4\,horses)\times \left(50\,\frac{L}{horse} \right) + (8\,sheep)\times \left(4\,\frac{L}{sheep} \right) + (16\,chickens)\times \left(0.2\,\frac{L}{chicken} \right)[/tex]

[tex]x = 235.2\,L[/tex]

The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.

Answer:

V = 75π

Step-by-step explanation:

The volume of a cone is πr^2 * h / 3

r = 5

h = 12

25π * 3 = 75π

Answer:

Step-by-step explanation:

r = 5 inches

h = 12 inches

Volume of cone = (1/3)πr²h

[tex]\frac{1}{3}*\pi *5*5*12\\=\pi *5*5*4[/tex]

= 100π cubic inches

Answer:

First, she notes down her current position as point A.

Then she checks out on the other bank, a big stone (point B) or something (which is not too far from her), she then goes along the bank to the point C so that BC is perpendicular with the bank.

If she can mark down the distance she walked AC and the angle BAC, then she can calculate the width of river (AB) by formula:

BC = AC x tan(BAC)

Hope this helps!

:)

Answer: -4

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

x + 4 = - x - 4

x + x = - 4 - 4

2x = - 8

x = - 8/2

x = - 4

Answer:

573.3

Step-by-step explanation:

just multiply it out

Answer:

5.733×10^2

Step-by-step explanation:

The question says you are to leave the answer in standard form not just only multiply which means you're to first multiply then you're supposed to bring a decimal point right after the first number and give the corresponding index which is 10^2 because you moved it twice to the left making it a positive index.

5.46×105

573.3

5.733×10^2

Answer:

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

[tex]40x -10x \leq 9,800[/tex]

Where [tex]x[/tex] represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

[tex]30x\leq 9,800[/tex]

Solving for [tex]x[/tex]

[tex]x\leq \frac{9800}{30}\\ x \leq 326.67[/tex]

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

Answer:

7

Step-by-step explanation:

-x^2 -6y+13x+7

The constant is the term with no variable attached to it

7 is the constant

Answer:

7 is the constant

Step-by-step explanation:

because -x^2 -6y+13x+7

Answer:

Step-by-step explanation:

None of these Choices are correct..

Answer:

there is no solution

Step-by-step explanation:

When we solve it, the first step is [tex]-6x+1=7-6x[/tex].

-6x+6x is 0, so there is no solution

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(3x)+1=7−6x

Step 1: Simplify both sides of the equation.

−2(3x)+1=7−6x

−6x+1=7+−6x

−6x+1=−6x+7

Step 2: Add 6x to both sides.

−6x+1+6x=−6x+7+6x

1=7

Step 3: Subtract 1 from both sides.

1−1=7−1

0=6

Hope this helps.

Answer:

The y value of Function A when x = -4 is greater than the y value of Function B when x = -4.

Step-by-step explanation:

A.) y = 2(-4) + 5 = -8 + 5 = -3

B.) y = 2(-4) + 2 = -8 + 2 = -6

-3 is greater than - 6.

Answer:

A. One line

Step-by-step explanation:

Let rearrange the system of equations into explicit forms:

[tex]y = -2\cdot x - 5[/tex]

[tex]6\cdot x + 3\cdot y = -15[/tex]

[tex]3\cdot y = -6\cdot x - 15[/tex]

[tex]y = -2\cdot x - 5[/tex]

The second equation is identical to the first one, which means that there is just one line.

Answer:

if you are dividing it would be

6.5 i think im not really sure though.

Answer: $840

Step-by-step explanation:

42,000 total sale multiplied by .02 sales commission

42,000x.02 = 840

Answer:

it's b c and e

Step-by-step explanation:

just took the test

Statements second statements third, and statement fifth is correct as per the conditional relative frequency table.

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the frequency cell by the total frequency.

As per the relative frequency table, the correct statements are:

Thus, statements second statements third, and statement fifth is correct as per the conditional relative frequency table.

Learn more about the conditional relative frequency here:

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so the answer is 16+4i ^2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Step-by-step explanation:

S = (2 * pi * r^2) + (2 * pi * r * h)

S = (2 * pi * 4^2) + (2 * pi * 4 * 5)

S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.

Answer:

Step-by-step explanation:

A/b = 7 / 2

Then

A / b = 3½

A = 3½ × b

Then, a is 3.5 times greater than b.

Answer:

-5

Step-by-step explanation:

-3 + -1 = -4

-1/3 + -2/3 = -1

-1 + -4 = -5

Answer:

The largest possible value of x is 2 + √8

Step-by-step explanation:

Given;

x² + y² = 4(x + y)

This is an equation of circle

x² + y² = 4x + 4y

x²- 4x + y² - 4y = 0

complete the square by taking half of coefficient of x and y, then add the squares to both sides;

x²- 4x + (-2)² + y² - 4y + (-2)² = (-2)² + (-2)²

factorize

(x - 2)² + (y - 2)² = √8

This circle has its center at  (2, 2)  with a radius of  √8

The largest x-value occurs at the right end of the circle = x value of the center plus the radius = 2 + √8

Answer:

17 feet

Step-by-step explanation:

I used the Pythagorean theorem to answer this question.

a^2 + b^2 = c^2

15^2 + 8^2 = c^2

225 + 64 = c^2

289=c^2

c^2=289

c=√289

c=17 feet

The length of the tip of the tree to the tip of it's shadow will be;

⇒ 17 feet

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

A 15 feet tree casts a shadow that is 8 feet long.

Now,

Since, A 15 feet tree casts a shadow that is 8 feet long.

Hence, The length of the tip of the tree to the tip of it's shadow = x feet

So, We get by using the Pythagoras theorem;

⇒ x² = 15² + 8²

⇒ x² = 225 + 64

⇒ x² = 289

⇒ x = √289

⇒ x = 17

Thus, The length of the tip of the tree to the tip of it's shadow will be;

⇒ 17 feet

Learn more about the Pythagoras theorem visit:

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Answer:

136

Step-by-step explanation:

The area of the triangle is 24 the area of the rectangle is 112

Answer:

136

Step-by-step explanation:

first start with the triangle

to find the base, subtract 8 from 16

to find height subtract 7 from 13

.5(8)(6)

triangle = 24

the area of the rectangle is 16 * 7 = 112

add them both together to get

136

Answer:

286m²

Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

Answer:

Step-by-step explanation:

IDK

Step-by-step explanation:

Pls ignoré the scribbled part.

Answer:

12

Step-by-step explanation:

194-50=144

144/12=12

Answer:

12 hours

Step-by-step explanation:

We can start with an equation: 12x+50 = 194 (x being number of hours)

solving gives 12x = 144

x = 144/12

x = 12

Answer:

15,539 gallons will remain after 192 days

Step-by-step explanation:

16,307 - 4x = y

Plug in 192 for x since that's how many days will have passed.

16,307 - 4(192) = y

4 x 192 = 768

Then, subtract 768 from 16,307 to see how many gallons will remain.

16,307 - 768 = 15,539

Answer:

15,539 gallons

Step-by-step explanation:

16,307 - 4x = y;

16,307 - 4(192) = y;

4 x 192 = 768;

16,307 - 768 = 15,539

Answer:

9

Step-by-step explanation:

Answer:

If the diameter us 4, the radius would be 2.

Answer:

5 points

Step-by-step explanation:

score of Zara = 15 points

Score of John = 10 points

Zara scored more than John = 15 - 10 = 5 points

Answer:

Hello! Your answer is 5

Step-by-step explanation:

Zara scored 15 points, and John scored 10 points

15-10=5

Hope this helps :)

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