Mariko is training for a race and now runs 6.5 miles in about 52 minutes. Write an equation to represent the number of minutes, n, she will take to run m miles at this rate.

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Notebooks       Total Cost

0                         0.00

1                          3.00

2                         6.00

3                         9.00

Answer:

Step-by-step exjwnfjaW ejgnewjkgn rngjwrgnrwjg

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Answer:

C. -a-3

Step-by-step explanation:

Group like terms:

5a and -6a

-2b and +2b

-3

5a - 6a equals -a (-1a, but you don't write the 1)

-2b and + 2b = 0

Now you have -a and -3.

The circumference of a circle, which is another way of saying the perimeter of a circle, can be found using the formula 2πr.

Note that π represents the irrational number 3.14159... which

rounds to 3.14 and r represents the radius of the circle.

Therefore, since π = 3.14, another way of writing the formula

for the circumference of a circle is 2 · 3.14r or 6.28r.

Answer:

circumference = 2 π r

or

circumference = π d

Step-by-step explanation:

r = radius of a circle

d = diameter

therefore

circumference = 2 π r

or

circumference = π d

In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.

Accounting Cycles:

1. June 1:

  - A.B.C company invests $20,000 in the business.

  - Prepare the journal entry:

    - Debit: Cash ($20,000)

    - Credit: Capital ($20,000)

2. June 3:

  - Purchased equipment for $12,100.

  - Prepare the journal entry:

    - Debit: Equipment ($12,100)

    - Credit: Cash ($12,100)

3. June 4:

  - Paid $220 premium for an insurance policy.

  - Prepare the journal entry:

    - Debit: Insurance Expense ($220)

    - Credit: Cash ($220)

4. June 6:

  - Purchased office supplies on account for $140.

  - Prepare the journal entry:

    - Debit: Office Supplies ($140)

    - Credit: Accounts Payable ($140)

5. June 9:

  - Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.

  - Prepare the journal entry for the cash payment:

    - Debit: Computer ($3,600) [40% of $9,000]

    - Credit: Cash ($3,600)

  - Prepare the journal entry for the remaining amount:

    - Debit: Computer ($5,400)

    - Credit: Accounts Payable ($5,400)

6. June 10:

  - Billed student Omar $58 for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Accounts Receivable ($58)

    - Credit: Tutorial Services Revenue ($58)

7. June 14:

  - Paid for the supplies purchased on June 6th ($140).

  - Prepare the journal entry:

    - Debit: Accounts Payable ($140)

    - Credit: Cash ($140)

8. June 15:

  - The owner suggested purchasing a new building for the company for $22,000.

  - No journal entry is required at this point. It is a decision made by the owner.

9. June 25:

  - Received $85 cash from student Salim Ali for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Cash ($85)

    - Credit: Accounts Receivable ($85)

10. June 30:

   - Student billed on June 10 pays the amount due ($58).

   - Prepare the journal entry:

     - Debit: Cash ($58)

     - Credit: Accounts Receivable ($58)

11. June 30:

   - A.B.C company withdraws $60 for personal use.

   - Prepare the journal entry:

     - Debit: Withdrawals ($60)

     - Credit: Cash ($60)

These transactions represent the accounting cycles for the given period.

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Answer:

c

Step-by-step explanation:

length times width times height so 8 times 5 times 3.5 equals 140

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

Answer:

-90=\(x\)(\(x\)-18)

-90=\(x^{2}\)-18\(x\)

\(0=x^{2}-18x+90\)

\(x=9+3i or 9-3i\)

Step-by-step explanation:

you need to use quadratic formula and you will find square root a negative ( -9 ), which is an imaginary no.

square root (-9) = 3i

Answer:

16 yards

Step-by-step explanation:

I hope this helps!

The value of y can be written as y=(x+5)/4.

Here our task is not to find the value of x or y but to find the relation between x and y by eliminating the t from both the equations.

Given that,

Curve equations are  x= 2t-1 y=1/2t+1

x= 2t-1 and y=1/2t+1

2t = x+1

t = (x+1)/2

substitute t value in y

y = t/2 + 1

y = (x+1/2)/2 + 1

y = x+5/4

you can also write x =4y-5

But generally when we have to draw the graph we will be taking x as input value and y as output value so y can be written as y=(x+5)/4

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Answer:

Step-by-step explanation:

If we represent the first number as "x", then the second number can be represented as "2x-3".

For example, if the first number is 5, then the second number would be 2(5)-3 = 7.

Alternatively, if the first number is 10, then the second number would be 2(10)-3 = 17.

In general, we can say that the second number is equal to twice the first number minus 3.

Hey there!

“12x - 24 = 180”

ADD by 24 on BOTH SIDES

12 - 24 + 24 = 180 + 24

CANCEL out: -24 + 24 because that gives 0

KEEP: 180 + 24 = 204

New equation:

12x = 204

DIVIDE 12 on BOTH SIDES

12x / 12 = 204 / 12

CANCEL out: 12 / 12 because of that gives you 1

KEEP: 204 / 12 because that gives the value “x”

204 / 12 = x

204 / 12 = 17

x = 17 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

1. The amount that Yetunde will pay upfront if she uses the finance option is $95.

2. The interest she will pay at the end of one year is $42.75.

3. The total refrigerator cost after using the one-year finance option is $992.75.

4. The total cost of the refrigerator if she pays the balance and interest at 6 months is $971.375.

A finance charge is the interest cost added to the amount borrowed or used for credit purchases.

Cost of the refrigerator = $950

Finance Option: Initial deposit = 10% = $95 ($950 x 10%)

Balance to be financed = $855 ($950 - $95)

Simple Interest rate = 5%

Simple interest amount = $42.75 ($855 x 5%)

The total cost with finance option is $992.75 ($950 + $42.75)

Simple interest amount at 6 months = $21.375 ($42.75/2)

The total cost at 6 months = $971.375 ($950 + $21.375)

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Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

The value of x that will make both lines A and B to be parallel is:  20

The line transversal theorem states that:

If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.

Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:

3x + 20 = 80

3x = 80 - 20

3x = 60

x = 60/3

x = 20

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Answer:

------------------

Simplify in below steps:

Answer:

it's 11

Step-by-step explanation:

Answer:

x =14.4

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

x         9

----- = ------

8          5

Using cross products

5x = 9*8

5x = 72

Divide each side by 5

5x/5 = 72/5

x =14.4

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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Answer:

-52

Step-by-step explanation:

I hope this helps!

Answer:

Width = 4 in

Length = 8 in

Step-by-step explanation:

Given:

Area of a rectangle = 32 in²

Find:

Length and width

Computation:

Assume;

Width = x

Length = x + 4

Area of a rectangle = lb

32 = (x+4)(x)

x² + 4x = 32

x² + 4x - 32 = 0

x² + 8x - 4x - 32 = 0

x(x+8) - 4(x+8) = 0

(x-4)(x+8)

x = 4 , x = -8

So,

Width = x = 4 in

Length = x + 4 = 4 + 4 = 8 in

The length of the line is 10ft  

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse in familiar algebraic notation, a2 + b2 = c2

Given that A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow

We have to find a third side

By using Pythagoras' theorem. a^2+b^2=c^2

8^2+6^2=c^2

64 +36 = c^2

c^2= 100

c^2= 10

Therefore the length of the line is 10ft

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The bearing of B from A, given the locations of cities A and B can be found to be 30 degrees.

The bearing of A from B, can also be found to be 210 degrees.

First thing to do is to draw a vertical line from Point A and Point B, upwards. This line would signify the North direction which is needed to find the bearing.

Now, draw a line to B from A. From that line, draw an angle from the North Line of A to the line that joins Cities A and B.

Once this line is drawn, check the angle that forms and you will find that it is 30 degrees. This makes the bearing of B from A, to be 030 degrees.

The bearing from B of A would be 210 degrees by the same method.

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The full question is:

a) Measure the bearing of B from A.

b) Measure the bearing of A from B.

The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24

Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.

Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9

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