One little cat can eat a bag of treats in 15 minutes while another cat can eat the same bag of treats in 10 minutes. What part of the bag can they eat together in the given time? 1 minute.

Answer:

Parallel lines have the same slope. Because the functions \displaystyle f\left(x\right)=2x+3f(x)=2x+3 and \displaystyle j\left(x\right)=2x - 6j(x)=2x−6 each have a slope of 2, they represent parallel lines. Perpendicular lines have negative reciprocal slopes. Because −2 and \displaystyle \frac{1}{2}

2

1

are negative reciprocals, the equations, \displaystyle g\left(x\right)=\frac{1}{2}x - 4g(x)=

2

1

x−4 and \displaystyle h\left(x\right)=-2x+2h(x)=−2x+2 represent perpendicular lines.

Answer:

Intercepting.

Step-by-step explanation:

The line x=10 is a straight vertical line going through all the points where x=10, as the equation suggests.

The line y=10 is a horizontal line going through all the points where y=10.

When you graph them, they intersect in a perfect cross.

Answer:

2(4x+3)

Step-by-step explanation:

We need to find what is the most common between 8x and 6. The only number here is 2 that is common between them.

That will be on the outside of the bracket.

So if we divide 2 from both terms.

8x ÷ 2 = 4x

6 ÷ 2 = 3

Let's put it all together.

2 first.

Our x term and 3 in brackets.

2 (4x+3)

There we go!

______________________________

(I have included the graph below)

So your answer is only [tex]\bold{(-2\frac{1}{3},\frac{1}{3})}[/tex].

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Answer:

rational...bcz it can be written in the form of p/q

that's 15/100

it is rational number

Step-by-step explanation:

plz make me brainliest

Answer:

[tex] \large \boxed{f(8) = 27}[/tex]

Step-by-step explanation:

Goal

Given

[tex]f(x) = \frac{1}{2} {x}^{2} - ( \frac{1}{4} x + 3)[/tex]

Step 1

[tex]f(8) = \frac{1}{2} {(8)}^{2} - ( \frac{1}{4} (8) + 3)[/tex]

Step 2

[tex]f(8) = \frac{1}{2} (64) - ( \frac{8}{4} + 3) \\ f(8) = 32 - ( \frac{2}{1} + 3) \\ f(8) = 32 - (2 + 3) \\ f(8) = 32 - (5) \longrightarrow 32 - 5 \\ f(8) = 27[/tex]

Hence, the value of f(8) is 27.

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Answer:

  25%

Step-by-step explanation:

Apparently, we're to assume that anything not spent is saved.

Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...

  Akira's expenses = (3/5)(5/8) = 3/8  . . . . . of Hideo's income

Hideo's expenses are twice this amount, so ...

  Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income

That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.

Hideo saves 25% of his income.

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Answer:

  105 minutes

Step-by-step explanation:

The volume of the terrarium is ...

  V = LWH

  V = (42 in)(10 in)(9 in) = 3780 in³

The volume of a box is ...

  V = (3 in)(3 in)(3 in) = 27 in³

Then the number of boxes it takes to fill the terrarium is ...

  (3780 in³)/(27 in³/box) = 140 boxes

The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...

  it will take 105 minutes to fill 3/4 of the terrarium

Step-by-step explanation:

A = midpoint so the left line = right line

3x = 5x - 6

5x - 6 = 3x

5x - 3x = 6

2x = 6

x = 3

Answer:

Step-by-step explanation:

diameter=7917.5

r=3958.75

the earth is sphere

V=4/3x3.14xr^3

V=2.6*10^11

Answer: 16

Step-by-step explanation:

Rephrase the expression

2a divide by 5

2a/5

Given value

a=40

Substitute the value into the expression

 2a/5

=2(40)/5

=80/5

=16

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1,and 4

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

Because an expression to be equivalent they should both have same sign and Variables

Answer:

Step-by-step explanation:

New price = (1 + 5%) x old price

New price = 1.05 x old price

old price = 2.3 / 1.05

Old price = £2.19

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Answer:

  £46

Step-by-step explanation:

The increase is ...

  0.05 · price = £2.30

Multiplying by 20 gives ...

  price = 20(£2.30) = £46.00

The price of the ticket before the increase was £46.00.

Please refer to the above attachment

Answer:

34.8°

Step-by-step explanation:

sin x = 8/14 = 4/7

x = arcsin (4/7) = 34.8°

Answer:

982.5

Step-by-step explanation:

1 cm = 10 mm

98.25 cm * 10mm =

982.5

Answer:

22

Step-by-step explanation:

15/3= 5

25+2=27

27-5= 22

Hope this helps

Answer: Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

Step-by-step explanation:

Let the number of hours that Danielle used in driving to be represented by x.

Since Jamal drives 3 times the hours that Danielle does. This will be:

= 3 × x = 3x

Since Jamal and Danielle drive for a total of 8 hours. This can be formed into a equation as:

x + 3x = 8

4x = 8

x = 8/4

x = 2

Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

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Answer:

  g) $6000 ($528.18 to principal)

  h) $9,471.82

  i) $5471.82

Step-by-step explanation:

You can make a chart, as you have started. Such a chart is often referred to as an amortization schedule. The basic idea would be to show how each payment is distributed to interest and principal. The attached shows such a spreadsheet (with a few rows hidden). It is described in more detail below.

__

g) The total amount paid is 24 payments of $250 each, so $6000. These payments reduced his amount owed by $528.18. (We don't know if "toward his credit card" means "to the creditor" or "to pay his debt".)

__

h) The amount still owed is $9,471.82 (the ending balance after the 24th payment)

__

i) $5,471.82 went toward interest.

_____

Spreadsheet details

The first "Beg Bal" is the $10,000 owed. Each one after that is copied from the "New Bal" cell on the previous line.

Each "to interest" quantity is the product of the beginning balance and the monthly interest rate. The cell reference to the interest rate needs to be an absolute reference, so it remains the same when copying the formula to other cells.

The "to Principal" amount is the difference between the payment amount and the amount "to interest." The reference to the payment amount cell also must be an absolute reference.

The "End Bal" amount is the difference between the "Beg Bal" and the amount "to Principal".

As you can see, the payment math is not difficult. There is one multiplication (by the interest rate) and the rest is subtraction.

Note that the numbers in this spreadsheet are rounded by the display. In a real payment situation, the interest due amount would be rounded to the penny before being used in other calculations. The way we have done it will result in a few cents difference in the ending balance from the value if the interest were actually rounded at each step.

Answer:

I believe it is the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the subway is 900 miles.

So if 1 inch is 45....we want to find it for 900 miles

900/45 = 20

So it will be 20 inches for 900 miles

Check by using ratio

1 : 45

2 : 90

3 : 135

4 : 180

5 : 225

6 : 270

7 : 315

8 : 360

9 : 405

10 : 450

11 : 495

12 : 540

13 : 585

14 : 630

15 : 675

16 : 720

17 : 765

18 : 810

19 : 855

20 : 900

1 - 20 = inches

45 - 900 = miles

So for 900 miles, it will be 20 inches long

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

B and C

Step-by-step explanation:

Answer:

Is C

Step-by-step explanation:

60 = 6y

if you divide both by 6

So y = 10

Answer:

We know that each cube with a -inch edge length has a volume of cubic inch, because . Since the prism is built using 24 of these cubes, its volume, in cubic inches, would then be , or 3 cubic inches.

Step-by-step explanation:

Answer:

sorry i cant read it

Step-by-step explanation:

Answer:

f(9) = 50

f(-10) = -64

Step-by-step explanation:

Given the function

f(x) = 6x - 4

f(9) = 6(9)-4

f(9) = 54-4

f(9) = 50

b)f(-10)

f(-10) = 6(-10) - 4

f(-10) = -60 -4

f(-10) = -64

Answer:

No solution

Step-by-step explanation:

Answer: x+6(12-4) = 10

Step-by-step explanation: