3
Roy and David both play football for the same team. A football match is 90 minutes long.
In one match, Roy plays for 70% of the 90 minutes and David plays for of the 90 minutes.
Who plays for the longer time and by how many minutes?

Answer:

less than or equal to 200 miles

Step-by-step explanation:

let 'm' = mileage

0.21m + 40 ≤ 82

subtract 40 from each side to get:

0.21m ≤ 42

divide each side by 0.21 to get:

m ≤ 200

Answer:

All ordered pairs with the same x value

Step-by-step explanation:

A vertical line can be represented by the equation x=k for some value k. So any pair with x value equal to k satisfies the equation and is thus in the set

Change in acceleration: 60 - 5 = 55 m/s

Average acceleration = 55 m/s / 11 second = 5 meters per second squared ( m/s^2)

Answer: 5 m/s^2

Answer:

-8

Step-by-step explanation:

Because it moved 2 to the right.

Answer:

-8

Hope this helps :)

Answer:

A= adult tickets, C=children tickets, S=senior tickets

A-10=C; C+10=A

4C=S

4C+6S+10A=1240, but S=4C and C=A-10

4C+24C+10C+100=1240

38C=1140

C=30 children tickets and $120

A=C+10=40 adult tickets and $400

4C=S=120 senior tickets and $720

$120+$400+$720= $1240.

Answer:

Step-by-step explanation:

a      15090

b      4255

c      dairy heifers and bulls

d      9975/15090

e      how many steers there are compared to bulls

Answer:

a) 15,090, addition

b) 4,255, subtraction

c) bulls and beef heifers for breeding

d) 5115/15,090 or 15/90

e) How many more calves are there than steers?

3930

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

c (constant of proportionality) = y/x = 5/2 in this case

Answer:

number of days = 3

total number of pages=135

Step-by-step explanation:

98÷49= 2

37=1 day

total number of days=3days

Total number of pages read=135 pages

Based on the information given, the value of the two numbers will be 2 and 1 respectively.

The equation to solve the question will be:

7a + 8b = 22 .... i

5a + 8b = 18 ..... ii

Subtract equation ii from I

2a= 4

a = 4/2

a = 2

Therefore, 7a + 8b = 22

7(2) + 8b = 22

14 + 8b = 22

8b = 22 - 14.

8b = 8

b = 8/8 = 1

Therefore, the numbers are 2 and 1.

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Answer:

b

Step-by-step explanation:

y=-1/4 x -3

Answer:

Step-by-step explanation:

To calculate the perimeter of a triangle, add the length of its sides.

8 + 9 + 11 = 28in

Answer:

166) C. 72 square cm        167) D. 113.09 square inches

Step-by-step explanation:

166) Parallelogram area formula is A=Base x height

A= 6 x 12

A= 72

167) Circle area formula A=πr²

r= half of diameter (12)

A=π(6)²

A=112.09

Answer:

c  5x -15y =1

5x-15y=1

-5x -15y= 1 -5x     change the signs on both sides of the equation

    15y = -1 +5x      divide both sides by 15

        y = -1/15 + 1/3 x    Reorder the terms

        y = 3x-15

Step-by-step explanation:

Hope this helps:)

Answer: 78 paperback books.

Step-by-step explanation:

1. Since 2/3 of the books are hardcover books, then 1/3 of the books are paperback books.

2. 234/3 = 78 books.

Answer:

78 paperback books

Step-by-step explanation:

234 x (2/3) = 156

234 - 156 = 78

Answer:

9:29pm

Step-by-step explanation:

Answer:

7.5 cm

Step-by-step explanation:

Since it's a right triangle, apply pythegorean theorem

Let the missing side be x

[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]

[tex]60.84 = 4.41 + {x}^{2} [/tex]

[tex] {x}^{2} = 60.84 - 4.41[/tex]

[tex] {x}^{2} = 56.43[/tex]

[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]

[tex]x = 7.5[/tex]

Therefore, the length of the missing side is 7.5 cm

The temperature of the substance at 10am  =  63.95°F

Let the temperature at 10 am be x

The temperature changes by −8.7°F from 10 a.m. to 1 p.m

The temperature at 1 pm = x  -  8.7

At 5 p.m., the temperature is 33.5°F

The temperature at 5 pm = 33.5°F

The temperature at 5 pm is 2/3 of what the temperature was at 1 p.m

[tex]33.5 = \frac{2}{3} ( x-8.7 )[/tex]

Solve for x

3(33.5)  =  2(x  -  8.7)

110.5  =  2x  -  17.4

2x  =  110.5 +  17.4

2x   =  127.9

x   =  127.9/2

x   =  63.95°F

The temperature of the substance at 10am =  63.95°F

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The largest area would be a square shape.

A square has 4 equal sides:

1800/4 = 450

Now because the street side doesn't have fencing, add that side length to one side of the fencing:

450 +450 = 900

Now the fence would have two widths of 450 feet and one length of 900 feet.

Area = length x width = 450 x 900 = 405,000 square feet.

Answer:

-6m and -6k

Step-by-step explanation:

(5k - 7) = -2k (k - 4) = -4k + -2k = -6k. (3m - 9) = -6m.

Expression 6k + 3m - 20 represents the perimeter, in centimeters, of the triangle which has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and (3m - 9) centimeters.

1st side length = 5k - 7 centimeters

2nd side length = k - 4 centimeters

3rd side length = 3m - 9 centimeters

Now, the perimeter of a triangle is the sum of its three sides.

So, the expression representing the perimeter of the triangle would be the sum of these side lengths:

Perimeter = (5k - 7) + (k - 4) + (3m - 9)

Further, simplifying the expression by combining like terms:

Perimeter = 5k + k + 3m - 7 - 4 - 9

Perimeter = 6k + 3m - 20

So, the expression that represents the perimeter of the triangle is (6k + 3m - 20) centimeters.

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Answer:

The slope is -5 and the y intercept is (0,4)

Step-by-step explanation:

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -5x+4

The slope is -5 and the y intercept is (0,4)

Answer:

N 2.4 ∘ W  or Bearing  357.6 ∘

672.2x  km/hr

Step-by-step explanation:

Answer:

D: Factor a q out of p^2 q+ 2q

Step-by-step explanation:

I took the test. Hope it was helpful! :)

The first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the equation is,

p²q+2q=11

Take q common from the L.H.S as

q(p²+2)=11

The value of q is obtained by rearranging the equation as,

q=11/(p²+2)

The value of q obtained after solving the equation p²q+2q=11 will be q=11/(p²+2).

Thus, the first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.

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Answer:

hey you can use scan and search

Answer:

I got : 0.42264973

Step-by-step explanation:

1/ -√3 + 1

-√3 = -1.73 ( 2 decimal place )

1/ -1.73 + 1

and found the answer

Answer:

6.4 ounces

Step-by-step explanation:

The total number of 'parts' is 5 containing 2 parts yellow and 3 parts green so if we divide 16 ounces of blue paint by the 5 parts, we can find 1 part. 1 part is 3.2. Yellow uses 2 parts so we time 3.2 by 2. The answer should be 6.4

Answer:

i need help I 6understand

Answer:

longer = 28 meters

Total = 40 meters

Step-by-step explanation:

Let the smaller piece be s,

and the longer piece be b

s = ¼b + 5

s = 12

¼b + 5 = 12

¼b = 7

b = 28 m

Total length = 28+12 = 40 meters

Step-by-step explanation:

[tex]3r = 4s \\ r \div s = 4 \div 3 \\ \\ \\ \\ hope \: it \: helps.[/tex]

In the given question if if 3r = 4s, This means that r is four times greater than s.

The given equation is 3r = 4s. To find the value of r/s, we can divide both sides of the equation by s. Dividing both sides of the equation by s, we get: (3r) / s = (4s) / s On the right side, the s cancels out, leaving us with: (3r) / s = 4 So, the value of r/s is 4.

An equation is a mathematical statement that states that two expressions are equal. It contains an equal sign "=" and consists of two sides: the left-hand side (LHS) and the right-hand side (RHS).

In this case, r/s represents the ratio of r to s. It indicates how many times r is greater than s. For example, if r = 8 and s = 2, then r/s = 8/2 = 4. This means that r is four times greater than s.

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then then then

okokokokokokok

Answer:

Step-by-step explanation Let g be the function defined by 8(x) = f*r(t) dt. (a) Find the average rate of change of g from x = -5 to x = 5. (b) Find the instantaneous rate of change ...