Find the scale factor of ABC to MNO.

Answer:

x =150 men

Step-by-step explanation:

Think of the total as workdays

125men* 120days = 15000 workdays

We still need 15000 workdays

100 days * x = 15000workdays

Divide by 100

x = 15000/ 100

x =150 men

Answer:

150 men

Step-by-step explanation:

120 × 125 = 15000

15000 ÷ 100

150

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Answer:

  total cooling was 252 degrees

Step-by-step explanation:

  quantity = rate × time

The total temperature change is ...

  (-6°/h)(42 h) = -252°

The total change in temperature was a cooling of 252 degrees.

Answer:

188 children, 190 adults

Step-by-step explanation:

For this equation, let c be the number of children, and a represent the number of adults.

On this day 378 total people were at the park, so

a + c = 378   eq 1

Each adult pays $4, so the admission fee for ALL adults will be $4 multiplied by the number of adults , a, so 4a

Use the same method for the children, and the total all children paid is 1.50c

From all the children and adults, the total was 1042, so merge the 2 cost variables together.

4a + 1.50c = 1042   eq 2

the 2 equations we will use are

a + c = 378

4a + 1.50c = 1042

From equation 1, subtract c from both sides, and

a = 378 - c     eq 3

Substitute the value of a in eq 3 into equation 2

4a + 1.50c = 1042

4 (378 - c) + 1.50c = 1042

1512 - 4c +1.50 c = 1042 (collect like terms)

1512 - 1042 = 4c -1.50 c

470 = 2.5 c

c = 470 /2.5

c = 188 children

Substitute the value of c into eq 3 to get the value of a

a = 378 -c

a = 378 - 188

a = 190 adults

Answer:

c = 7p

Step-by-step explanation:

i think

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

     = -2(16) -32-10

     = -32 -32-10

    = -74

Answer:

C

Step-by-step explanation:

We have the equation:

[tex]4x^2+5x=-10[/tex]

Add 10 to both sides to isolate the equation.

[tex]4x^2+5x+10=0[/tex]

This is not factorable*, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 4, b = 5, and c = 10.

Substitute:

[tex]\displaystyle x=\frac{-(5)\pm\sqrt{(5)^2-4(4)(10)}}{2(4)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{-5\pm\sqrt{-135}}{8}[/tex]

Since we cannot take the root of a negative, we have no real solutions.

Our answer is C.

*To factor something in the form of:

[tex]ax^2+bx+c=0[/tex]

We want two numbers p and q such that pq = ac and p + q = b.

Since ac = 4(10) = 40. We need to find two whole numbers that multiply to 40 and add to 5.

No such numbers exist, so the equation is not factorable.

Answer:

c) No Real Solution

Step-by-step explanation:

I'ma try my best to explain it!

We have: 4x^2+5x=−10

Step 1: Subtract -10 from both sides.

4x^2+5x−(−10)=−10−(−10) (you don't put the -10 next to it but you put it in the bottom)

Then we get 4x^2+5x+10=0 from the subtraction above

For this equation: a=4, b=5, c=10

4x^2+5x+10=0

Then we use quadratic formula with a=4, b=5, c=10

The answer is the picture below: means no solution

Hope this helps and is correct!

[tex]0.375[/tex] ✅

Step-by-step explanation:

[tex] - 1 \frac{7}{8} + 2 \frac{1}{4} \\ = - \frac{15}{8} + \frac{9}{4} \\ = - \frac{15}{8} + \frac{9 \times 2}{4 \times 2} \\ = \frac{ - 15 + 18}{8} \\ = \frac{3}{8} \\ = 0.375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

01:04

Step-by-step explanation:

add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.

Answer:

$2,500

Step-by-step explanation:

$350 per day for 25 days

350*25=2450

Add the 50 for insurance and that makes it 2500

If its wrong im sorry

Answer:

8800 is the amount before she buys her own instrument

Step-by-step explanation:

350 x 25 = 8750

8750 + 50 = 8800

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Answer:

  7. 91 m²

  8. 56 in²

  9. 105 in²

  10. 135 m²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the base length, and h is the height perpendicular to the base.

The formula for the area of a trapezoid is ...

  A= 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them. Note that this formula is virtually identical to the triangle formula, with the triangle 'b' being replaced by (b1+b2).

__

Fill in the numbers and do the arithmetic. The result is shown in the attachment. (We have used the triangle formula for all, with b1+b2 being used for 'b' to find the area of the trapezoids.)

  7. A = 1/2(14 m)(13 m) = 91 m²

  8. 56 in²

  9. A = 1/2(14 +16 in)(7 in) = 105 in²

  10. 135 m²

Answer:

?????????

Step-by-step explanation:

di ko po alam yan god bless po

Answer:

B.   3x = 90

Step-by-step explanation:

m<QPS + m<RPS = m<QPR

Let m<RPS = x

Then m<QPS = 2x

2x + x = 90

3x = 90

Answer: B.   3x = 90

Answer:

Distance = 15 units

Step-by-step explanation:

[tex]Let \ (x_1 , y_ 1 ) = ( 0 , 7 ) \ , \ (x _ 2 , y _ 2 ) \ = ( -12 , -2 ) \\\\Dsitance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1 )^2} \\\\[/tex]

             [tex]= \sqrt{(-12 - 0)^2 + ( -2 - 7)^2} \\\\=\sqrt{12^2 + 9^2 }\\\\=\sqrt{144 + 8 1} \\\\= \sqrt {225 } \\\\= 15[/tex]

Answer:

( 12 , - 10 )

Step-by-step explanation:

Difference between the x points : 0 - ( - 12 ) = 12

Difference between the y points : - 12 - ( - 2 ) = -10

There fore the difference ( 12 , - 10 )

Hopefully this is what you mean

Have a nice day !

Answer:

28% off 160.00 is 115.20

The difference is 44.80

Step-by-step explanation:

One way is to multiply 160 by 28 percent, and then divide the answer by one hundred, then deduct that result from the original price.

Purchase Price:

$160

Discount:

(160 x 28)/100 = $44.80

Final Price:

160 - 44.80 = $115.20

Thus, a product that normally costs $160 with a 28 percent discount will cost you $115.20, and you saved $44.80.

You can also calculate how much you save by simply moving the period in 28.00 percent two spaces to the left, and then multiply the result by $160 as follows: $160 x .28 = $44.80 savings.

Furthermore, you can get the final price by simply deducting .28 from 1 and multiplying it by $160 as follows: (1 - .28) x $160 = $115.20 final price.

Answer:

160-44.8=115.2

Step-by-step explanation:

160 would be 100%

28%=x

[tex]\frac{160}{x} = \frac{100}{28}[/tex]

[tex]\frac{x}{160} =\frac{28}{100}[/tex]      x=44.8

28% of 160 would be 44.8

160-44.8=115.2

Answer:

112 yards

Step-by-step explanation:

Applying Pythagoras theorem,

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

Mathematically, it is expressed as

a² = b²+c²................. Equation 1

Where a = Length of the diagonal, b and c = lenght of the two other sides

From the question,

Given: b = 50 yards, c = 100  yards.

Substitute these values into equation 1

a² = 50²+100²

a² = 2500+10000

a² = 12500

a = √12500

a = 111.8

a = 112 yards

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Answer:

Step-by-step explanation:

Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.

 (x -h)^2 +(y -k)^2 = r^2

You see that ...

 -h = +5   ⇒   h = -5

 -k = 0   ⇒   k = 0

  r^2 = 36   ⇒   r = √36 = 6

The center is (h, k) = (-5, 0), and the radius is r = 6.

Answer:

Y = 0.5x-1 is the formula

adfhjjhhhhhh ffggg3rfffhkjdgb gghh

Answer:

1

Step-by-step explanation:

Answer:

ice cream scoops (white scoop)= 2

ice cream cones = 3

ice cream scoops (pink scoops) = 1

Step-by-step explanation:

3 x 3 x 3 = 27

3(cone) + 2(white scoop) + 3(cone) + 2(white scoop) = 10

and so on

Answer:

x = -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt{50}+\sqrt{18}=\sqrt{2*5^2}+\sqrt{2*3^2}=5\sqrt{2}+3\sqrt{2}=8\sqrt{2}[/tex]

Answer:

Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.

Step-by-step explanation:

Step 1: Determining the amount in metric tons of paper products recycled

In the year 2010, a total of 76 million metric tons of MSW was recycled.

Recycling of paper products accounted for 33% of the total MSW recycled in 2010.

The amount of paper products recycled in millions of metric ton = 0.33 × 76 million  = 25.08 million metric tons of paper products.

Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products

7m³ of landfill space is saved for each metric ton of paper products.

Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled  × 7 m³/metric ton

Volume of landfill space saved = 25.08 million metric tons  × 7  m³/metric ton

Volume of landfill space saved = 175.56 million m³ of land space

Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

A proportion is a fraction of a total amount.

In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:

0.33t = 7

t = 7/0.33

t = 21

21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

More can be learned about proportions at https://brainly.com/question/24372153

I'm assuming all the numbers here mistakenly got copied twice.

Let A(t) denote the amount (in kg) of salt in the tank at time t. The solution starts with 70 kg of salt, so (a) A(0) = 70.

I also assume there is more to the question, so I'll just go ahead and build the differential equation to model this situation, and solve it.

Pure water is flowing into the tank, so no salt is being introduced. The concentration of salt at time t is A(t)/2000 kg/L, and solution is drained from the tank at a rate of 4 L/min, which means salt is being removed at a rate of

(4 L/min) (A(t)/2000 kg/L) = A(t)/500 kg/min = 0.002 A(t) kg/min

Thus the amount of salt (ignoring units now) in the tank changes according to the DE,

dA(t)/dt = -0.002 A(t)

which is easy to solve because it's linear with constant coefficients.

Without going into too much detail:

dA(t)/dt + 0.002 A(t) = 0

exp(0.002t ) dA(t)/dt + 0.002 exp(0.002t ) A(t) = 0

d/dt [exp(0.002t ) A(t)] = 0

exp(0.002t ) A(t) = C

A(t) = C exp(-0.002t )

Given A(0) = 70, solve for C :

70 = C exp(0) = C

Hence

A(t) = 70 exp(-0.002t )

Answer:

D

Step-by-step explanation:

It’s correct

[tex]\frac{1}{3} *\pi *6^{2}*27[/tex]

[tex]=324\pi[/tex]

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = dπ or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Answer:

x= -4,y=2............