Hello I need help please

Suppose that two motorboats leave the same point at the same time. If one travels north at 15 miles per hour and the other travels east at 20 miles per hour, how fast will the distance between them be changing after 2 hours? Draw a diagram to model the situation.

Answer: y-8=8/9(x-9)

Step-by-step explanation:

If it is parallel line that means that their gradient must be the same.

Point slope formula: y - y1 = m (x - x1)

m= gradient

y1 = y point

x1 = x point

y-8=8/9(x-9)

The percent of the total calories in each brownie that comes from fat is 26.9%

We know that the total amount of calories in each brownie is 420 calories, so that number represents our 100%, then we can write the relation:

420 cal = 100%

Now, the fat has 113 calories, this is a percentage X that we want to find, so we can write:

113 cal = X

We have the two relations:

113 cal = X

420 cal = 100%

If we take the quotient we get:

(113 cal/420 cal) = X/100%

Solving for X.

(113 cal/420 cal)*100% = X = 26.9%

So, the percent of the total calories in each brownie that comes from fat is 26.9%.

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Answer:

  19 mL

Step-by-step explanation:

You want the volume of a rock with density 45 g/mL and mass of 855 g.

The units of density are mass per volume, so we can find the volume by dividing the mass by the density. The units basically tell you how to work the problem.

  [tex]\dfrac{855\text{ g}}{45\text{ g/mL}}=\dfrac{855}{45}\,\dfrac{\text{g$\cdot$mL}}{\text{g}}=\boxed{19\text{ mL}}[/tex]

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Additional comment

Sometimes we like the volumes of things that aren't liquid to be expressed in cubic units. 1 mL = 1 cm³, so the volume could be described as 19 cm³.

10,091 because it's a 10 season football season and he spends 9 dollars every game

Step-by-step explanation:

ez

The opportunity cost of playing football for Graham is $1,190.

The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.

Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.

Therefore, the opportunity cost of playing football for Graham is,

Opportunity cost

= Amount that Graham would have made in a part-time job +  Total cost of playing football season

= $1,100 + (Number of games × Amount spend in a single game)

= $1,100 + (10×$9)

= $1,100 + $90

= $1,190

Hence, the opportunity cost of playing football for Graham is $1,190.

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Answer: Player A=1 time

Player B=2 times

Player C=5 times

Step-by-step explanation:

A=B-1

C=4+B/2

A+B+C=8

B-1+B+4+B/2=8

B+B+B/2 -1+4=8

2B+B/2 +3=8

4B/2 +B/2=5

5B/2=5

5B=10

B=2 times

A=B-1

A=2-1

A=1 time

A+B+C=8

1+2+C=8

3+C=8

C=5 times

Answer:

37.1 m/h, he was going over but I don't think 2 m/h is technically speeding

Step-by-step explanation:

v = 2√5(69)

v = 2 √345

v = 2 × 18.57418

v = 37.14835

v = 37.1 m/h

9514 1404 393

Answer:

  41 13/40

Step-by-step explanation:

Generally, you're told to multiply mixed numbers by converting each to an improper fraction:

  5 7/10 = (5·10 +7)/10 = 57/10

  7 4/16 = (7·16 +4)/16 = 116/16

The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.

  [tex](5\frac{7}{10})(7\frac{4}{16})=\dfrac{57}{10}\cdot\dfrac{116}{16}=\dfrac{57\cdot116}{10\cdot16}=\dfrac{6612}{160}\\\\=41+\dfrac{52}{160}=\boxed{41\frac{13}{40}}[/tex]

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You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).

_____

Alternate solution

You can also treat this as the product of two sums. The distributive property is handy for this.

  (5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)

  = 35 +5/4 +49/10 +7/40

  = 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts

  = 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator

  = 40 +53/40 = 41 13/40

Answer:

41.325

Step-by-step explanation:

:)

your answers needs to be 20 characters long-

The two rates that can be used to represent this relationship are:

A ratio is a comparison between two numbers that can be separated with (:) sign or can be represented as a fraction. This comparison deals with the same units.

However,

From the parameters given:

For every 2 cups of barbecue sauce, 4 pounds of pulled pork is used.

Therefore, we can conclude that the two rates that can be used to represent this relationship are:

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Answer:

2. A

3. H

4. D

5. C

6. G

7. E

8. F

Answer:

its not a rational bcs 13 is non recurring decimal and not a perfect square.

Answer:

10/27

Step-by-step explanation:

Simplify the following:

(5/6)/(9/4)

Multiply the numerator by the reciprocal of the denominator, (5/6)/(9/4) = 5/6×4/9:

(5×4)/(6×9)

The gcd of 4 and 6 is 2, so (5×4)/(6×9) = (5 (2×2))/((2×3) 9) = 2/2×(5×2)/(3×9) = (5×2)/(3×9):

(5×2)/(3×9)

3×9 = 27:

(5×2)/27

5×2 = 10:

Answer: 10/27

Answer:

I think the answer is 43

Step-by-step explanation:

Because b=83

The total value of triangle angles =180

So 54+83=137

180-137=43

Answer:Y=2x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = s2

A = (8)2

= 64

Option A is the correct answer

Answer:

Step-by-step explanation:

[tex]h(1.5) = 20[/tex]

from the graph  when t= 1.5 h(t) = 20

[tex]h(8) = 0[/tex]    

from the graph  when t= 8 h(t) = 0

When the time is at 8 seconds the item hist the ground and  therefore the height is zero , and it represents the x-intercept of the graph.

Answer:║

             ∨

        A=150in²

Hope this helps :D

Answer:

150 inches

The surface area of a cube is the sum of the areas of its six faces:

area of one face = 5 inches × 5 inches = 25 square inches

surface area of the cube = 6 × 25 square inches = 150 square inches.

Step-by-step explanation:

Answer: range:6

interquartile: 3.5

Step-by-step explanation:

Answer:

-9 1/4

Step-by-step explanation:

Answer:

-9.25

Step-by-step explanation:

Pemdas,

Answer:

2x - x = 1x

Step-by-step explanation:

P.S Can I have brainliest?

Answer: the x = 0 means 2 * 0 - 0 = 0

Step-by-step explanation:

Answer:

It's already solved

Step-by-step explanation:

But try mo sa Quick Math nag try ako pero Sabi Already solved na daw

Answer:

the answers c

Step-by-step explanation: you are welc you wlc

Answer:

[tex]\mathbf{3x}[/tex] is the greatest common factor for the expression: [tex]3x^2 -9x[/tex]

Step-by-step explanation:

We need to find the greatest common factor for the following expression: [tex]3x^2 -9x[/tex]

Greatest common factor is the number, that is divisible by both numbers. In the given expression 3x is the greatest number that is divisible by all the terms

[tex]3x^2 -9x\\3x(x-3)[/tex]

So, [tex]\mathbf{3x}[/tex] is the greatest common factor for the expression: [tex]3x^2 -9x[/tex]

Answer:

-x^2-2x+3

1/2x^2-2x-1

Answer:

4:4

Step-by-step explanation:

Answer:

$2.10

Step-by-step explanation:

Answer:

^algebra^

#1). a - b=4

a=4 + b .....(equation 1)

#2) a + b=12

(4 + b) + b= 12

4 + b + b=12

4 + 2b=12

2b= 12 - 4

2b =8

b= 8:2

b=4

subtituted b in equation 1

a= 4 + b

a= 4 + 4

a=8

so, the number is 8 and 4

Answer:

Step-by-step explanation:

The unit rate is 50

Hope it helps