Sophie decides to ride her bike also. After 3 days, she rode 114 minutes. After 8 days, she rode 304 minutes. What is Sophie's rate per day? She ridesminutes per day

Step-by-step explanation:

1 cup of yellow paint = 2×1/2 cup.

and that requires then also 2×1/3 Co red paint.

so, 1 cup of yellow paint mixes with 2/3 cups of red paint.

2 and 3 have a smallest common multiple (smallest number that is divisible by both numbers without remainder) of 6.

so, we need to get 6 units of each for a whole number ratio :

6×1/2 = 3 cups of yellow paint mix with 6×1/3 = 2 cups of red paint.

Answer:

Slope = -¾

Step-by-step explanation:

Given the points, (-20,-4) and (-12, -10), use the following formula to solve for the slope:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) = (-20,-4)

     (x₂, y₂) =  (-12, -10)

Substitute these values into the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{-10 - (-4)}{-12 - (-20)}[/tex]

[tex]m = \frac{-10 + 4}{-12 + 20}[/tex]

[tex]m = \frac{-6}{8}[/tex]

Simplify the fraction into its lowest terms by dividing the numerator and the denominator by 2:

[tex]m = \frac{-6}{8}[/tex] ÷  [tex]\frac{2}{2}[/tex]

m = -¾

Therefore, the slope of the line is -¾

The location of the tree can be found by taking point A as the origin of

coordinate plane, represented by the drawing area.

Response:

The area Tom wants to plant the tree in the garden is given by the following rule;

Distance of the tree from A = 4 m

Distance of the tree from CD = 2 m

1 cm in the scale drawing = 2 m

Solution:

Taking point A as the origin, we have;

The location of the tree from point A is given by the radial length, r = 2 cm.

The distance of the tree from the line CD is given by the line, y = 1.5 cm,

given that 1 cm from CD = 1.5 cm from point A

Therefore, we have;

Where;

r = 2

y = 1.5

We have;

x² + 1.5² = 2²

x² = 2² - 1.5² = 1.75

Learn more about the coordinate plane here:

https://brainly.com/question/11252677

Answer:

1.22

Step-by-step explanation:

Answer:4/13

Step-by-step explanation:

It is 4*(4/52)

Here

Show sum of interior angles is 180°

[tex]\\ \sf\longmapsto <NBA+<NAB=180[/tex]

[tex]\\ \sf\longmapsto <NAB+103=180[/tex]

[tex]\\ \sf\longmapsto <NAB=180-103[/tex]

[tex]\\ \sf\longmapsto <NAB=77°[/tex]

Vertical angles are supplementary

We need m<NAB

Answer:

  $87.50

Step-by-step explanation:

To answer this question, you make use of the formula for simple interest:

  I = Prt

This is the interest I on principal amount P at annual rate r for t years.

You have P = $3500, r = 0.025, t = 1, so the interest is ...

  I = $3500×0.025×1 = $87.50

You would receive $87.50 in interest on your savings account.

_____

Additional comment

Many calculators, and all spreadsheets, can use a percentage number directly in the calculation. If yours can't, then you must convert the percentage to a decimal fraction. You can think of the "%" symbol as equivalent to "/100" or "×0.01". The decimal equivalent of 2.5% is 2.5/100 or 2.5×0.01 = 0.025.

__

We have assumed the account earns simple interest, because there is no mention of interest compounding, or of a monthly accounting. In many real-life savings accounts, the interest is computed each month and added to the balance. The computation for the following month includes interest on the interest earned previously. We say the interest is compounded in that case. The formula for compound interest is different from the one shown here.

Answer:

a+b+2

Step-by-step explanation:

I can't give a very good answer as I don't know what resources are available to you, but this is what I managed to find with a ti-84 calculator.

[tex]y=-31.24+1.34x[/tex]

If you want a better step-by-step, tell me what's in that 'open statistics calculator' option and I'll see what I can figure out.

edit: missed that second part of the question

Using this equation to calculate a test grade with a homework grade of 90:

[tex]y=-31.24+1.34(90)=89[/tex]

Answer:

1st. yes

2nd. no

i don't know

Step-by-step explanation:

Answer:

The prime factors of 492 are 2, 3, 41.

Step-by-step explanation:

→ 492 = 2 × 2 × ? × ?

→ 492 = 2 × 2 × 3 × 41

Let's check,

→ 492 = (2 × 2) × (3 × 41)

→ 492 = 4 × 123

→ 492 = 492

→ LHS = RHS

Hence, prime factors of 492 are 2, 3, 41.

[tex]\\ \sf\longmapsto 4x+12+90=180[/tex]

[tex]\\ \sf\longmapsto 4x+102=180[/tex]

[tex]\\ \sf\longmapsto 4x=78[/tex]

[tex]\\ \sf\longmapsto x=19.7[/tex]

Answer:

Graph 1.  (4, 4).

Graph 2. (4, -4).

Step-by-step explanation:

The solution is the point where the lines intersect.

A) The monthly percentage rate of Felix is;

B) The monthly percentage rate of Oscar is;

C) The amount that Oscar will pay more than Felix is; $0.96

A) Felix was given a card with APR of 14%.

Thus;

Monthly percentage rate = 14%/12 = 1.63%

B) Oscar was given a card with an APR of 21%. Thus;

Monthly percentage rate = 21%/12 = 1.75%

C) We are told that each of them had an average daily balance of $800 for a specific month.

Thus;

Amount paid by Felix = 800 * 1.63%

Amount paid by Felix  = $13.04

Amount paid by Oscar = 800 * 1.75%

Amount paid by Oscar = $14

Difference in Payments = $14 - $13.04 = $0.96

Thus, Oscar pays $0.96 more than Felix.

Read more about Annual Percentage rate at; https://brainly.com/question/11686424

a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)

b. oscar 21/12 = 1.75% (no need to round here)

c.

felix: (1.17/100) x 800 = 9.36

oscar: (1.75/100) x 800 = 14.00

14.00 - 9.36 = 4.64

oscar will pay $4.64 more than felix.

Answer:

192

Step-by-step explanation:

Volume of a rectangular prism = length times width times height.

For the following prism, length = 4, width = 6 and height = 8

So volume would equal 4 * 6 * 8 = 192ft²

Answer:

should have studied

Step-by-step explanation:

Answer:

The answer is A (-2)^3 * 6^3

Answer:

answer C. 3x + 9

Step-by-step explanation:

3(x + 5) - 6 =

3x + 15 - 6 =

3x + (15 - 6 ) =

3x + 9

3(x+5)-6

Multiply 3 by the inside parenthesis:

3x+15-6

Subtract

3x+9

This means our answer is C) 3x+9

I hope this helps! :)

Answer:

1. Hence, the answer is $74.50

2. Hence, the answer is 16.

Step-by-step explanation:

1. Given: Natalie and her friends decide to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, adn 4 people are members.

To find: What is the total cost for the party?

Solution:

Since Natalie and her friends wanted to rent four lanes, we need to calculate this at REGULAR cost.

4 * 9 .75 = 39

Now since 10 people want to rent shoes, and 4 people are members, we subtract.

10 - 4 = 6

6 nonmembers

4 members

6 times the amount of shoe rental for 6 * 3.95 - 23.70

non members

4 times the number of members shoe rental 4* 2.95

11. 80

Now add the quantities

39 + 11.80 + 23.70 += 50.80 + 23.70 =

74.50

Now, our answer is 74.50

2.

Solution:

20 / 1.25 = 16

So the possible amount that can be bought is 16 medium sodas.

Answer:

3xy² -  14y²      

Step-by-step explanation:

I hope that this is the problem

   - x²y + [ - (x²y - 2xy² + y²) + (xy² - 3y² + x²y)] - (10y² - x²y)

= - x²y + [ - x²y + 2xy² - y² + xy² - 3y² + x²y] - 10y² + x²y

Now combine like terms in the [  ].

= - x²y  + [ -x²y + x²y + 2xy² + xy² - y² - 3y² ] - 10y² + x²y

= - x²y  + [ 0 + 3xy² - 4y²] - 10y² + x²y

= - x²y + 3xy² - 4y² -10y² + x²y                      Now combine like terms

=   (-x²y + x²y) + 3xy² + (-4y² - 10y²)

=       0 + 3xy² - 14y²

=  3xy² -  14y²       or    y²(3x - 14)

143.25 °

is the correct answer.

please mark my answer as brainest and follow me to get the answer faster.

Answer:

X=4

Step-by-step explanation:

Let's make an equation,

7/4 ÷ 14 = x ÷ 3

We can cross multiply

7/4 * 32 = x * 14

Now we have 56 = 14x

Divide both sides by 14

56 ÷ 14 = 4, 14x ÷ 14 = x

4 = x

x = 4

Answer:

10.75 miles

Step-by-step explanation:

Answer:

68 ft^2

Step-by-step explanation:

Find the area of the large rectangle as if the piece were there

A = l*w

A = 6 * 14

A =84

Subtract the area of the square that is missing

A = 4*4 = 16

84 - 16 =68

The area of the figure is 68 ft^2

Answer:

Step-by-step explanation:

You need an image for problem to be solved, please repost it with a image, so it can be solved