In a school there are 200 boys and 800 girls. Find the percentage of girls in that school.

[tex]7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 = \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\[/tex]

[tex]\\\text{Hence}~ (x,y) = (15,-10)[/tex]

Answer: Solving two-step linear equations using distributive property: a (x+b)=c;aleft ( {x + b} ight) = ca (x+b)=c Solving linear equations using multiplication and division Solving two-step linear equations: ax+b=cax + b = cax+b=c, xa+b=c {x over a} + b = cax​+b=c

Step-by-step explanation:

Answer:

solving equations using distributive property. We'll guide you through two ways that the following question can be solved.

Question: 11.32 = 8(0.61 + x)

Solution 1:

11.32 = 8(0.61+x)

Divide both side by 8, you get 1.415 = 0.61 +x

Minus both side by 0.61, 0.805 = x

In this solution, we first try to move all the non-x terms over to one side. The first step of dividing both sides by 8 helps us move the 8 from the right side to the left side. This allows us to get rid of the parentheses too as the terms no longer have to be multiplied out (there's nothing to multiply them with). Then, in order to move 0.61 to the left side, we'll minus it from both sides. In the end, we'll get that x ultimately equals 0.805.

Solution 2:

11.32 = 8(0.61+x)

Open up the right side, you get 11.32 = 4.88+8x

Minus both side by 4.88, you get 6.44 = 8x

Divide both side by 8, you get 0.805 = x

In solution 2, we're truly using the distributive property. We're going to distribute 8 into the terms in the parentheses, which are "+0.61" and "+x". This gives us 4.88 + 8x on the right side of the equation. Then we can move over 4.88 to the left side with the rest of the non-x terms by minusing it from both sides. Lastly, divide both sides by 8 to move the 8 over to the left side and you'll find that x = 0.805. Both methods will bring you to the same correct answer.

Answer:

4 cm

Step-by-step explanation:

Where 7 cm is located is parallel to the side of 11cm

11-7 is 4cm.

Hope that helps!

Answer:

Step-by-step explanation:

A = πr²/2 = 3.142(11²)/2 = 190.091 cm²

Answer:

123 pens in Box A

Step-by-step explanation:

To solve this we will rewrite the word problem as an equation...

5x (A)

x (B)

When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...

5x - 82 (Change in Box A - subtraction)

x + 82 (Change in Box B - addition)

The problem now states that Box A and Box B are equal...

5x - 82 = x + 82

--- subtract x from both sides ---

4x - 82 = 82

--- add 82 to both sides ---

4x = 164

--- divide both sides by 4 ---

x = 41 pens

Now, we replace the x in the expression "5x - 82" with 41...

5(41) - 82 = 205 - 82

205 - 82 = 123

123 pens in Box A

Hope this Helps!

Answer:

huh

Step-by-step explanation:

Answer:  Im sorry what is the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² + 2x -24 = 0

delta = 2² - 4*1*(-24)

delta = 4 + 96

delta = 100

x' = (-2 + [tex]\sqrt{100}[/tex]) / 2*1

x' = (-2 + 10) / 2

x' = 8 / 2

x' = 4

x" = (-2 -10) / 2

x" = -12 / 2

x" = -6

Answer:

x = 1/5 - first box

Step-by-step explanation:

Let's interpret this by using what I call the "isolated-x method."

First, we can simplify whatever's being affected in the parentheses.

#1: 3 times (2x) is equal to 6x

#2: 3 times (- 1 | equal to -1) results in -3, or + -3

So now we're working with 6x - 3 = -9x.

Now, we'll add a positive 9x to the -9x, since it can be hugely helpful to have one side result in 0.

Now we're working with 15x (6x + our new 9x) - 3 = 0

Since we have "whole like terms" we can now easily add 3 to each side.

Now we're working with 15x = 3 (0 + our new 3)

We can finish by dividing each side by 3.

15x = 3 now turns into 5x = 1.

To get from 5 to 1 you can multiply 5 by its "multiplicative inverse," also known as 1/5.

Therefore, x = 1/5

Hopefully this helped a bunch! Tell me if you need any further assistance...

( :

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

given expression,

4(3x - 1) - 2(6 + 2x)

given,

x = 12.5

so q/q

→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]

→ 4(37.5 - 1) - 2(6 + 25)

→ 4 × 36.5 - 2 × 31

→ 146 - 62

→ 84

therefore, 84 articles store received last Thursday.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.

Answer:

84

Step-by-step explanation:

how many pounds does he feed his dogs for each meal?

Answer:

6 cm for both sides

Step-by-step explanation:

Answer:  Multiply the original price by the decimal form of the percent and subtract that from the original price.

37*0.85=31.45

37-31.45=5.55

Answer: New price is $5.55

Answer:

he  walks at lest 5 miles

Step-by-step explanation:

gak bisa bahasa inggris.

Step-by-step explanation:

maap.

Answer:

See below:

Step-by-step explanation:

So we know that there is a [tex]\frac{3}{4}[/tex] feet long board and that it is split into 6 pieces.

With that information, we can split it by doing the following:

1. [tex]\frac{3}{4} *\frac{1}{6}[/tex]

We can do this because we have a board that is 0.75 feet long and we multiply it by one sixth because we want to divide a fraction and to do that we have to flip the fraction.

After doing that, we get our answer of [tex]\frac{3}{24}=\frac{1}{8}[/tex]

This means that each piece is [tex]\frac{1}{8}[/tex] feet long.

Cheers!

Answer:

3/24 feet long each.

Step-by-step explanation:

You are dividing 3/4 by 6, so the expression is:

(3/4) / 6

You can rewrite this as:

(3/4) * (1/6)

Then, multiply across, with the numerator of the new fraction being (3 * 1) and the denominator being (4 * 6)

Your answer becomes 3/24

Answer:

p ≥ 1,000,000,000

Step-by-step explanation:

since it says "at-least" that is implying that, that is the estimate and there is most likely more people and it is not exactly 1,000,000,000 so we need to use ≥ to show that it could be greater than or equal to 1,000,000,000.

Answer:

Down here    ↓↓↓↓↓

Step-by-step explanation:

(a) Does the Parabola open upward or downward

Upward - the open "space" is above the vertex, so it opens upward

(b) X and y  intercepts

x - intercepts : where the graph touches the x - axis

                      x - intercepts = (2, 0) , (4, 0)

Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0

y - intercepts : where the graph touches the y - axis

                      y - intercepts = (0, 3)

(c)  Vertex of the parabola

vertex: the point of symmetry

          vertex : (4, -1)

(d) Axis of symmetry

axis of symmetry : x - value of vertex

                            axis of symmetry : x = 4

-Chetan K

Hey where are the questions?

Answer: 12

I am not sure what you need help with exactly but

3 ÷ 1/4 = 12

Reason: 3 ×4/1 = 12 3×4= 12/1 take off the 1 and the answer is 12

why 4/1 you would find the reciprocal of 1/4 and the reciprocal of 1/4 is 4/1 or just 4 you dont need the 1 but if you cant handle your math problem without the 1 you can use it but always remember to take out the 1 in your final answer.

I really hopes this helps you.

Answer:

Step-by-step explanation:

ASSUMING all family members purchased ride tickets

Let n be the number of family members

148 = 8 + n(16 + 12)

140 = 28n

n = 5

Answer:

This is 0.8 to the nearest tenth.

Step-by-step explanation:

FYI, to round to the nearest tenth, look at the second number after the decimal point. If it is 5 or more then round the first number after the point up one e.g.. If the answer was 0.850375,you round up which is 0.9 to the nearest 10th.

If the second number after the decimal point is less than 5 (in this case) you round down to 0.8.        (BRAINLIETS PRETTY PLEASEEEE OvO)

m-18

Answer: 6

Step-by-step explanation:

PEMDAS. 3 * {(10+35) / 9 - 3}             10+35=45  45/9= 5    5-3=2     2*3= 6

f() = -5 when f(t) = -3t + 4 is equal to 19. The value of t is -5

The given function is f(t) = -3t + 4. To find the value of f() when it is equal to 19, we substitute 19 in place of f() in the equation.

f() = -3() + 4

Since the value of f() is not provided, we can solve for it by setting the equation equal to 19:

-3() + 4 = 19

To solve for f(), we isolate the variable on one side of the equation. First, we subtract 4 from both sides:

-3() = 19 - 4

-3() = 15

Then, we divide both sides of the equation by -3 to solve for :

/ -3 = 15 / -3

= -5

It's important to note that the notation f() represents the value of the function at a specific point, usually denoted by a specific value in the parentheses. In this case, we were given f() = 19, and our task was to find the corresponding value of . By solving the equation, we determined that = -5 in this scenario.

Therefore, f() = -5 when f(t) = -3t + 4 is equal to 19.

For more such questions on value

https://brainly.com/question/843074

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i calculated that the answer will be roughly 24.9 miles per hour.

Answer:

Exact Form:

7/4

Decimal Form:

1.75

Mixed Number Form:

1 3/4

Step-by-step explanation:

To add fractions, find the LCD and then combine.