SARAH makes $43,000 per year, is single, and lives in Connecticut. She has $19,000 in subsidized loans and $8000 in unsubsidized loans.

i have explained through pictures

Answer:

w = 2 cm

Step-by-step explanation:

100 = 25 x 2 x w

w = 2 cm

The width of the rectangular prism is 2 cm.

Volume is the amount of space occupied by a solid shape.

To calculate the width of the rectangular prism we use the formula below.

Formula:

Where:

Make w the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the width of the rectangular prism is 2 cm.

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Step-by-step explanation:

3(x - 3) = 3(2x - 3)

3x - 9 = 6x - 9

- 3x - 9 = -9

-3x. = 0

x = 0

Answer:

x≥−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x+3/ −3 ≤1

Step 1: Simplify both sides of the inequality.

−2/ 3 x−1≤1

Step 2: Add 1 to both sides.

−2/ 3 x−1+1≤1+1

−2/ 3 x≤2

Step 3: Multiply both sides by 3/(-2).

( 3/ −2 )*( −2/ 3 x)≤( 3/ −2 )*(2)

x≥−3

Answer:

x≥−3

Answer:

You just have to round to the cent place to get your answer

Step-by-step explanation:

Hope it helped!

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Answer:

298.16

Step-by-step explanation:

you divide 7.67 by 100 then you would take that number and multiply it by 194 and 7 and then add your total to 194

Answer:

15

Step-by-step explanation:

The pertinent general formula for this arithmetic progression is

a(n) = a(1) + d(n - 1), where d is the common difference.  That difference is d = 4.

Here, a(n) = -5 + 4(n -1)

Therefore, a(6) = -5 + 4(5) = 15

Answer:

It is 15.

Step-by-step explanation:

Alright, first lets find the pattern. Since its a arithmetic sequence, it has something to do with adding/subtracting.

With the values, -5, -1, and 3. Notice something about them? -1 is 4 more than -5 & 3 is 4 more than -1. There's a pattern! The pattern is that for every new term, it is 4 more than the one before it.

With this, we can make a table to find the 6th term!

(Given)

1st Term: -5

2nd Term: -1

3rd Term: 3

Now, continue adding 4 to each term...

4th Term: 7

5th Term: 11

6th Term: 15

For the 6th term, it has been found that the answer's 15.

Answer:

38

Step-by-step explanation:

The area of a kite is equal to half the product of the diagonals

To find the area we must first find the measures of the diagonals

short diagonal = 2 + 2 = 4

longer diagonal = 8 + 11 = 19

We then calculate the area by multiplying the two diagonals together and then dividing that by 2

A = 19 * 4 = 76

76 / 2 = 38

Hence, the area of the kite is 38m²

38m².

Answer:

Solution given;

diagonal 1=8+11=19m

diagonal 2=2+2=4m

the area of a kite =½*diagonal 1*diagonal 2

=½*4*19=38m²

The area of kite is 38m².

Answer:

60 degrees

Step-by-step explanation:

180 - 120= 60

Answer:

(-1,1) would not be a solution to the system of linear inequalities presented in the problem. Simply substitute the x and y values in the coordinates provided to see if they would work as solutions.

Hope I helped, have a nice day :)

Answer:

(-1,1)

Step-by-step explanation:

If we try to substitute this values in the second inequality we have

1 > 4 (false)

Answer:

i cant see the question :(

Step-by-step explanation:

Answer:

1. An odd number of factors were negative

Step-by-step explanation:

The first is true.

If an odd number of factors were negative, you have a negative result.

When you divide a negative by a negative you have a positive.

In this case when you divide the negative product by - 2 you have a positive.

Answer:

–9(3x³ – 8x + 9)

Step-by-step explanation:

–27x³ + 72x – 81

The above equation can be factorised as follow:

–27x³ = –3 * 3 * 3 * x * x * x

72x = 2 * 2 * 2 * 3 * 3 * x

–81 = –3 * 3 * 3 * 3

Common factor = 3 * 3

Greatest common factor = 9

Thus,

–27x³ + 72x – 81 = 9(–3x³ + 8x – 9)

–27x³ + 72x – 81 = –9(3x³ – 8x + 9)

Answer:

Step-by-step explanation:

If the dimansions of a figure are multiplied by 22 then its surface is multiplied by 22²

736 in²·22² = 736 in²·484 = 356 224 in²

Answer:

Complementary, x=10

Step-by-step explanation:

Complementary angles mean they add up to 90 degrees.

So 29+(6x+1)=90.

30+6x=90

6x=60

x=10

Answer:

Complementary-------- x= 10

Step-by-step explanation:

only 90 degrees

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

3. 6x = 60

=======================

x= 10

Answer:

19.5 pounds

Step-by-step explanation:

25% of 26 equals 6.5, so 26-6.5 is 19.5 pounds

Answer

the diameter is 44

Step-by-step explanation:

the radius is just half of the diameter so to get the diameter from the radius just multiply it by two.

Answer:

10

Step-by-step explanation:

70-30=40

50-40=10

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Answer:

4x + 16 - simplified

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

Now substitute the measures of each side in the formula,

(13)² = x² + (12)²

169 = x² + 144

x² = 169 - 144

x² = 25

x = √25

x = 5

Therefore, Option B will be the correct option.

Answer:

1/3*9.7*pi7.6^2ft^3

Step-by-step explanation:

Then round to the nearest hundred,

=586.7ft^3

Answer:

b.area of one triangular faces =9m²

Answer: C

Step-by-step explanation:

yes

Answer:

24

Hope that this helps!

Answer:

24 inches

Step-by-step explanation:

starting from 4 going clockwise, add the inches to get the perimeter:

4 + 5 + 1 + 5 + 9 = 24

Answer:

The ball reaches 44 ft above the ground after 4 sec.

Step-by-step explanation:

Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t.  Indicate exponentiation with " ^ "

-16t^2 + 300 = 44 becomes

-16t^2 + 256 = 0, or 16t^2 = 256.  Then, taking the square root of both sides, we get:

4t = 16, or t = 4 sec.  The ball reaches 44 ft above the ground after 4 sec.

The ball will take 4 seconds.

A quadratic equation, or simply "quadratics," is a polynomial equation with a degree of two as its highest. This is how it is expressed:

a x² + b x + c = 0 where x is the unknown variable and the constant terms are a, b, and c.

Given equation of height h(t) = -16t² + 300...…..(1)

where h is height in feet and t is time in seconds,

and height at t = 0 is 300 feet

when ball is 44 feet above ground then time is,

put h = 44 in equation 1

44 = -16t² + 300

16t² = 300 - 44

t² = 256/16

t = √16

t = 4

Hence time taken by ball is 4 seconds.

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Answer:

84.4

Step-by-step explanation:

done

Volume of a right circular cone is  84.39 m³

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given:

height = 12.4 m. base diameter= 5.1 m, radius= 5.1/2 m

Volume of right circular cone= 1/3* π* r²*h

                                                = 1/3*3.14* 2.55*2.55*12.4

                                               = 84.39 m³

Hence, the volume of right circular cone is 84.39 m³

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Answer:

primero debemos resolver la ecuacion  sumamos 3d mas 10d luego pasamos el mumero 8 al otro lado entonces se convertira en negativo 8 el resulatdo de esta ecuacion sera 13d elevado al cubo =-8

13d^{3}=-8 entonces

entonces remplazamos en la formula cuadratica 3d=a  0=b  -8=c y lo rremplazas en la formula cuadratica

Step-by-step explanation:

First we must solve the equation we add 3d plus 10d then we pass the number 8 to the other side then it will become negative 8 the result of this equation will be 13d cubed = -8

13d 3 = - 8 then

then we replace in the quadratic formula 3d = a 0 = b -8 = c and you replace it in the quadratic formula