How to write 55% of n as an expression

Of 734 students, 442 are taking mathematics. What angle (in degrees) of a circle would show the percent of students taking mathe

Anestetic [448]

We need to find the angle (rounded to the nearest whole degree) of a circle that would represent the percent of students taking mathematics.

Since a complete turn around the circle has 360º, we have the following proportion:

Number of students Angle

734 360º

442 x

Then, cross multiplying the above values, we obtain:

$\begin{gathered} 734x=442\cdot360\degree \\ \\ x=\frac{442\cdot360\degree}{734} \\ \\ x\cong217\degree \end{gathered}$

Answer: 217º

6 0

1 year ago

Read 2 more answers

Solve. 2x + 4 < 5x + 3

8_murik_8 [283]

Answer:

1/3 <x

Step-by-step explanation:

2x + 4 < 5x + 3

Subtract 2x from each side

2x-2x + 4 < 5x-2x + 3

4 < 3x+3

Subtract 3 from each side

4-3 <3x-3+3

1 <3x

Divide each side by 3

1/3 <3x/3

1/3 <x

4 0

2 years ago

HELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPP!!! 98POINTS

Mnenie [13.5K]

Answer:

$1699.25

Step-by-step explanation:

Data:

Cost = $314 000

Down payment = 18 %

Term = 20 yr

i = 5 %/yr

Calculations:

(a) Down payment

Down payment = 314 000 × 0.18

= $56 520

(b) Amount financed

Cost = $314 000

-Down payment = 56 520

Financed = $257 480

(c) Monthly payments

The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate of i % is

$P = A(\frac{i}{1-(1+i)^{-n}})$

We must express the interest rate on a monthly basis.

I = 5 %/yr = 0.41 667 %/mo = 0.004 1667

n = 2 × 12 = 240 mo

$P = 257 480(\frac{0.004 1667}{1 - (1+0.004 1667)^{-240}})$

$P = \frac{1072.83}{1- (1.004 1667)^{-240}}$

$P = \frac{1072.83}{1 - 0.368 645}$

$P = \frac{1072.83}{0.631 355}$

P = $1699.25

Carlos' monthly mortgage payment will be $1699.25.

8 0

2 years ago

Joanna went school supply shopping. She spent $30.70 on notebooks and pencils. Notebooks cost $2.20 each and pencils cost $1.09

aleksandrvk [35]

Ok, so we need to set up a system of equations.

x + y = 19, where x is notebooks and y is pencils

2.2x + 1.09y = 30.70. You use the coefficient for individual prices and the total for the total given.

2.2x + 2.2y = 41.8 (multiply for elimination later)

2.2x + 1.09y = 30.7

1.11y = 11.1

y = 11.1/1.11

y = 10

Now we use the substitution method in x + y = 19

x + 10 = 19

x = 9

9 notebooks and 10 pencils

8 0

3 years ago

Pamela is 6 years younger than Jiri. The sum of their ages is 64. What is Jiro's age?

Viefleur [7K]

Let's use j to represent Jiri's age.

If Pamela is 6 years younger that Jiri, her age can be represented by j - 6.

Since the sum of their ages is 64, we can setup the equation j + (j - 6) = 64.

Simplifying on the left, we have 2j - 6 = 64.

Adding 6 to both sides, we have 2j = 70.

Dividing both sides by 2, we have j = 35.

So Jiri is 35 years old and Pamela is 6 years younger or 29 years old.

6 0

3 years ago