At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?

Answer:

8d + 6b = 55

2d + 9b = 32.50

Step-by-step explanation:

let 'd' = # dog bowls

let 'b' + # bones

Rhonda:  8d + 6b = 55

Kelly:  2d + 9b = 32.50

we can multiply Kelly's equation by -4 to eliminate the 'd' terms:

Kelly: -4(2d + 9b) = 32.5(-4)

-8d - 36b = -130

now add the above equation to Rhonda's equation:

  -8d - 36b = -130

+  8d + 6b = 55

-30b = -75

b = 2.50

now we can use either equation and substitute 2.5 for 'b' to find 'd'

2d + 9(2.5) = 32.5

2d + 22.5 = 32.5

2d = 10

d = 5

Answer:

Step-by-step explanation:

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Example:

Answer:

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Answer:

75 cm

Step-by-step explanation:

150÷2 = 75

Good luck with your exam :)

Answer:

75

Step-by-step explanation:

Essentially this question for the radius as it ask for the distance from the middle of the pit to the outside of the pit.

We are given the diameter (150) which is a straight line through the middle from one end to the other

To find the radius given the diameter you simply divide by 2

So answer = 150/2 = 75

1 5/6 + 1 1/3 = 3 1/6

3 1/6 * 60 = 190

Answer:

yes

Step-by-step explanation:

Answer:it’s x

Step-by-step explanation:

Sry if I’m wrong

Answer:

Step-by-step explanation:

two semicircles each of diameter 8 inches makes one circle with diameter=8 in.

radius r=8/2=4 in.

area of shaded region= πr^2=π×4²=16 π in²

≈16×3.14

≈50.24

≈50.2 in²

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

Answer:

RO = 17.9

Step-by-step explanation:

If they're similar, the fraction between their sides need to be equal, so do this:

NK/NM = RO/RQ

71.6/64 = RO/16

71.6•16/64 = RO

RO = 17.9

Answer:

hope this helps

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Answer:

Nope it isn't linear.

Step-by-step explanation:

Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly

for instance you put 2,4

4 = -4(2)+12

4 = -8+12

that is true

but if you put in (5,-1)

-1 = -4(5)+12, which is not true

if all of them is true, then it would be true.

if even ONE of them is not true, then the who line is not linear

Answer:

Step-by-step explanation:

for the first one: d

69,120

Step-by-step explanation:

You multiply 15 times 4608

The volume of solid B cylinder is 9000π cubic units.

A cylinder is a 3-D solid figure that has two identical circular bases joined by a curved surface at a fixed distance from the center, that is the height of the cylinder.

For the given situation,

Cylinder A:

Let the radius of cylinder A be r1 = 12 inches

Let the height of cylinder A be h1

The volume of the cylinder A, V1 = 4608 π cubic inches

Cylinder B:

Let the radius of cylinder A be r2 = 15 inches

Let the height of cylinder A be h2

The volume of the cylinder A, V2

The formula of volume of cylinder is

[tex]V=\pi r^{2}h[/tex]

For cylinder A,

⇒ [tex]4608\pi =\pi (12)^{2}h1[/tex]

⇒ [tex]h1=\frac{4608}{144}[/tex]

⇒ [tex]h1=32[/tex]

Cylinder A and cylinder B are similar, so

[tex]\frac{h1}{h2} =\frac{r1}{r2}[/tex]

⇒ [tex]\frac{32}{h2} =\frac{12}{15}[/tex]

⇒ [tex]h2=\frac{(32)(15)}{12}[/tex]

⇒ [tex]h2=40[/tex]

Volume of cylinder B is

⇒ [tex]V=\pi (15)^{2}(40)[/tex]

⇒ [tex]V=9000\pi[/tex]

Hence we can conclude that the volume of solid B cylinder is 9000π cubic units.

Learn more about cylinders here

https://brainly.com/question/15891031

#SPJ2

Answer:

basically the opposite

Step-by-step explanation:

its inverted therefore find out how to get c b a and boom

Answer:

Step-by-step explanation:

Answer:

38sq yards

Step-by-step explanation:

Separate it into parts

3x2 for the top section

8x4 for the bottom

6+32=38

Answer:

4

Step-by-step explanation:

f(-8)=-2(-8)-12

f(-8)=16-12

=4

Answer:

the answer is- g= 72/d minus f/d

Answer:

[tex]n=9[/tex]

Step-by-step explanation:

[tex]3n-18=9[/tex]

[tex]3n+18=[/tex] +18

[tex]3n=27[/tex]

[tex]3(9)=27[/tex]

[tex]n=9[/tex]

Answer:

[tex](4,3)[/tex]

Step-by-step explanation:

If the solution would've been written has y ≤ 2x - 5, [tex](4,3)[/tex] would've been a solution

Answer:

[tex]{ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}[/tex]

Answer: -9/2

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

Use the law of exponents

(a^p)^q = a^(pq)

here on the left-hand-side

a=3

p=3

q=2x+6

so

(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)

The right-hand-side = 3^(2x)

Equate exponents of both sides

6x+18 = 2x

6x-2x = -18

4x = -18

x = -9/2

Answer:

Ummmm its just a black screen

Step-by-step explanation:

Answer:

[tex]ZX = 4cm[/tex]

Step-by-step explanation:

Given

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

Required

Find ZX

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar

[tex]PQ \to XY[/tex]

[tex]QR \to YZ[/tex]

[tex]RP \to ZX[/tex]

To find ZX, we make use of the following equivalent ratio

[tex]PQ : XY = RP : ZX[/tex]

Where

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

So, we have:

[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]

Express as fraction

[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]

[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]

Make ZX the subject

[tex]ZX = 2 * 2cm[/tex]

[tex]ZX = 4cm[/tex]

a²+b²=c²

5²+9²=c²

25²+81²=c²

106=c²10.2

5

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

Answer:

decreased by 50%

Step-by-step explanation:

[tex]\frac{x}{y}[/tex]

100% - 60% = 40% = 0.4

100% - 20% = 80% = 0.8

[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%