A rectangular park is 260 m by 480 m. Danny usually trains by running 5 circuits around the edge of
the park. After heavy rain, two adjacent sides are too muddy to run along, so he runs a triangular path
along the other two sides and the diagonal. Danny does 5 circuits of this path for training. Show that
Danny runs about 970 metres less than his usual training session

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

Answer:

Y x 2

Step-by-step explanation:

2 x 1 simplified is 2 so 1 will be eliminated

Answer:

C. 8 in

Step-by-step explanation:

(5)(6)(x)=240

solve for x

30x=240

x=240/30

x=8

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

The volume of the rectangular prism is 14.66 square units.

It is required to find the volume of the  rectangular prism.

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given:

The volume is calculated as:

V= w h l

V= 7 1/3 x 2

V= 22/3 x 2

V= 44/3

V=14.66  square units.

Hence, the volume of the rectangular prism is 14.66 square units.

Learn more about prism here:

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Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

Answer:

If I did my math correctly, They washed 15 cars on Sunday.

Step-by-step explanation:

50 cars = 100%

Therefore 1 car would be 2% because 50 is half of 100.

So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = 15 cars on Sunday

With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday

Here is some extra data:

10% = 5 cars

20% = 10 cars

30% = 15 cars

40% = 20 cars

50% = 25 cars

60% = 30 cars

70% = 35 cars

80% = 40 cars

90% = 45 cars

100% = 50%

Basically, every 10% is +5 cars

Answer:

y = -8/3x + 33

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 1 / 9 -12

8 / -3

= -8/3

y = -8/3x + b

1 = -8/3(12) + b

1 = -32 + b

33 = b

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

Learn more about Rounding off here:

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Answer:

0.2

Step-by-step explanation:

0.2=2/6=1/3=P(x)

.........

Answer:[tex]18+1.5c[/tex]

Step-by-step explanation:

Given

A large cheese pizza costs $18

Each topping add on costs $1.50

for c toppings added, the prize becomes

[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]

Answer:

x= 2

y= 7

z= 4

Step-by-step explanation:

Equation 1: x+y+z=13

Equation 2: x-z= -2

Equation 3: -2x+y=3

Add equation 2 and 1

(x+y+z)+(x-z)= 13 -2

2x+y= 11

Add this to equation 3

(-2x+y)+(2x+y)= 11+3

2y= 14

y= 7

Plug in y= 7 to equation 3

-2x+(7)= 3

-2x+7=3

-2x= -4

x= 2

Plug x=2 into equation 2

2-z= -2

4 = z

Answer:

Each game cost $ 7.

Step-by-step explanation:

Given that the value $ 42 included rental of shoes at $ 3.50 per pair, knowing that Patrick bowled 2 games, and Cameron bowled 3 games, to determine how much did each game cost the following calculation must be performed:

(42 - (2 x 3.50)) / (2 + 3) = X

(42 - 7) / 5 = X

35/5 = X

7 = X

Therefore, each game cost $ 7.

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

Answer:

the y-intercept of Function A is less than the y- intercept of Function B

Step-by-step explanation:

first, identify each coordinate that has instegers only

(x, y)

function A y-int: (0, -86)

function B y-int: (0, -4)

Answer:

[tex]a = 16.[/tex]

Step-by-step explanation:

[tex] \frac{10}{a} = \frac{15}{24} [/tex]

Then

[tex]15 \times a = 24 \times 10[/tex]

So

[tex]a = 240 \div 15[/tex]

Therefore

[tex]a = 16.[/tex]

Answer:

3x − 2y = 16

Step-by-step explanation:

y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16

Hope this helps uwu

Answer:

37.68 is the correct answer

Step-by-step explanation:

diameter of the given circle is 12ft

circumference of a circle = pi x diameter.

= 3.14 x 12 ft

= 37.68 ft

Answer:

A

Step-by-step explanation:

because use the equation circumference of a circle

[tex]2 \times \pi \times r[/tex]

so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)

Answer:

cos θ = -0.948

Step-by-step explanation:

First find θ of sin θ by taking the inverse:

θ = arcsin(0.312).

Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).

arcsin(0.312) = 0.317297388112..

[ Hold on I am finishing up work ]

Step-by-step explanation:

everything can be found in the picture

The answer is scalene

Answer:

y = -1x + 2

Step-by-step explanation:

y = -1x + b

5 = -1(-3) + b

5 = 3 + b

2 = b

y = -1x + 2

Answer: 10 in.

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

Answer:

the answer is $1.32×7.5=$9.9

Answer:

£9.90

Step-by-step explanation:

There are 2 ways you can do this. Both are similar.

For the first method it's much quicker but you might need a calculator.

You would simply do 7.5 × 1.32 = £9.90 that should give you the answer.

If you were to do it with out a calculator then what you need to do is 7 × 1.32 = 9.24

Because there is still 0.5 (or 1/2) left from the 7 that you multiplied, you do 1.32 ÷ 2 = 0.66.

Add the 2 numbers together

0.66 + 9.24 = £9.90

Answer:

this answer is for functional value only