Tuition at Korby College is $16,340 this year. Omar has a scholarship that covers 30% of his tuition. He has $1,200 saved to use this year, and he expects to earn $2,000 at his part-time job. Omar will need student loans for the rest. How much money will he need to take out in student loans this year?

Answer:

When using the given information in the table, the slope is 2.

Step-by-step explanation:

First, we need to know the formula for finding slope.

[tex]Slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Now, we need two points from the table so we can plug them into the formula. Let's use the points (10,14) and (20,34).

[tex]Slope(m)=\frac{34-14}{20-10}[/tex]

Subtract 14 from 34 and subtract 10 from 20.

[tex]Slope(m)=\frac{20}{10}[/tex]

Now, divide 20 by 10.

[tex]Slope(m)=2[/tex]

So, the slope that represents the table is 2.

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]

These are corresponding angles

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

$400

Step-by-step explanation:

$500 multiplied by 8% = $40

If you multiply $40 by 10 years that equals $400.

[tex]answer = - 56 \\ solution \\ \frac{ - 7}{13} = \frac{m}{104} \\ or \: 13 \times m = 104 \times ( - 7) \\ or \: 13 \: m = - 728 \\ or \: m = \frac{ - 728}{13} \\ m = - 56 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

[tex] - 56[/tex]

Step-by-step explanation:

[tex] \frac{ - 7}{13} = \frac{m}{104} [/tex]

use cross multiplication

[tex]104 \times - 7 = 13m \\ - 728 = 13m \\ \frac{ - 728}{13} = \frac{13m}{13} \\ m = - 56[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

c. 25

Explanation:

write no more than one radical

[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]

simplify

[tex]5\sqrt{25} \\25[/tex]

Therefore, the answer is c) 25.

Answer:

c) 25

Step-by-step explanation:

√125 x √5= √25*5*5 = √25*25= 25

Answer:

Might be wrong but try 47.5ft^2

Step-by-step explanation:

(3*2)/2=3

(3*3)/2=4.5

3+4.5+(4*10)=47.5

Answer:

rational

Step-by-step explanation:

Answer:

it's Rational.......

Answer:

3/35

Step-by-step explanation:

Here, we want to know the constant of proportionality in this direct variation scenario

Since it is a direct variation, the form we are having would be;

x = ky

where x and y directly vary with each other and k is the constant of proportionality

Now, for the first relation

3 = 35k

for the second

9 = 105k

Thus k would be

3/35 which is the same as 9/105

Kindly note that 9/105 can be reduced to 3/35

So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35

The answer is A.) y =35/3x

Answer:

13) [tex]x=-3,y=4[/tex]

14) [tex]x=7, y=12[/tex]

15) [tex]x=-1,y=3[/tex]

16)[tex]x=-3,y=4[/tex]

Step-by-step explanation:

13)

[tex]y=9x+31\\6x+4y=-2[/tex]

Sub in equation 1 into equation 2.

[tex]6x+4(9x+31)=-2[/tex]

Expand the bracket.

[tex]6x+36x+124=-2[/tex]

Rearrange.

[tex]42x=-126\\x=-3[/tex]

Solve for y.

[tex]y=9(-3)+31\\y=-27+31\\y=4[/tex]

14) (Following exactly the same steps)

[tex]y=-2x+26\\-5x+2y=-11[/tex]

[tex]-5x+2(-2x+26)=-11\\-5x-4x+52=-11\\-9x=-63\\x=7[/tex]

[tex]-5(7)+2y=-11\\2y=24\\y=12[/tex]

15) (Following exactly the same steps again.)

[tex]y=2x+5\\8x+3y=1[/tex]

[tex]8x+3(2x+5)=1\\8x+6x+15=1\\14x=-14\\x=-1\\[/tex]

[tex]8(-1)+3y=1\\-8+3y=1\\3y=9\\y=3[/tex]

16) (Still no variation on how the questions are asked, exact same method)

[tex]3x+2y=-2\\y=9x+31[/tex]

[tex]3x+2(9x+31)=-1\\3x+18x+62=-1\\21x=-63\\x=-3[/tex]

[tex]y=9(-3)+31\\y=-27+31\\y=4[/tex]

Answer:

the table that has the same additive rate of change. so you subtract the last number to the one before it.  to get the rate of change but you need to the same with every number in the y values.

Step-by-step explanation:

for example if the table has 1,2,3,4 point with the y values with 2, 4, 6,8. so you will get 8-6=2 then you repeat: 6-4=2, 4-2=2. when they are the same meaning its a linear function.  

Answer:

Ko-op is better

Step-by-step explanation:

1

£2.58/3= 86 p

2

£4.25/5= 85 p

3

£6.72/8= 84 p

Last one Ko-op is better

Answer:

37

Step-by-step explanation:

Answer:

i) 4000 cm^3

ii) 50 cm^3/s

Step-by-step explanation:

i) 1 litre is equal to 1000 cm^3, so four litres are equal to 4000 cm^3.

ii) Previous rate: 40 seconds for 4 litres, 10 seconds for 1 litre, 10 seconds per 1000 cm^3.

New rate: 20 seconds per 1000 cm^3, or simplified to 50 cm^3/s

Answer:

The x-intercept is (-9,0). The y-intercept is (0,27).

Step-by-step explanation:

9x - 3y = -81

-9x         -9x                  Subtract 9x from both sides

-3y = -9x - 81                Divide both sides by -3

y = 3x + 27

I graphed the equation below.

Step-by-step explanation:

9x-0=-81

divide all through with 9x to get

x=-2

0-3y=-81

divide all through with 3y to get

y=27

Answer:

-6 < x < 2

Step-by-step explanation:

hope this helps :)

It takes 48 hours if 12 people built the same wall.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

3 x 12 x 129

Step-by-step explanation:

You can get your answer

Answer:

Option B is correct

Step-by-step explanation:

Given: [tex]\left | p \right |=7\sqrt{2}\,,\,\left | p+q \right |=12\sqrt{3}[/tex]

To find: interval on which [tex]\left | q \right |[/tex] must fall

Solution:

[tex]\left | p \right |=7\sqrt{2}\\-7\sqrt{2}\leq p\leq 7\sqrt{2}\,\,(i)[/tex]

[tex]\left | p+q \right |=12\sqrt{3}\\-12\sqrt{3}\leq p+q\leq 12\sqrt{3}\,\,(ii)[/tex]

Subtract (ii) from (i)

[tex]-12\sqrt{3}+7\sqrt{2}\leq p+q-p\leq 12\sqrt{3}-7\sqrt{2}\\-12\sqrt{3}+7\sqrt{2}\leq q\leq 12\sqrt{3}-7\sqrt{2}\\\left | q \right |=12\sqrt{3}-7\sqrt{2}[/tex]

So, [tex]\left | q \right |[/tex] must fall in interval [tex][12\sqrt{3}-7\sqrt{2},\infty)[/tex]

Therefore, option B is correct.

Answer:

8

Step-by-step explanation:

LM = KI/2

LM = 16/2

LM = 8

Answer:

You have 2 equations:

One for area: A = πr²

One for circumference: C = 2πr

If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.

When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.

Step-by-step explanation:

Answer:

123000

Step-by-step explanation: 8,200 x 15 =123000

Answer:

It is the value of the coin when it was originally purchased. t=0  y=3

Step-by-step explanation:

The y intercept is the value when t=0

It is the value of the coin when it was originally purchased.  y=3

Answer: 45 degrees

Step-by-step explanation:

Plato

Answer:

a linear function with slope 3 and y intercept -6

Step-by-step explanation:

f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.

Next time please be sure to share the answer choices.  Thanks.

Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

" Linear function is defined as the relation between variables with highest exponent equals to one".

According to the question,

Given

Function[tex]f(x)= 3x-6[/tex]

[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.

Therefore, it is a linear function.

Represents the straight line.

x increases y also increases.

No maximum and minimum point.

Compare it with general equation of line [tex]y = mx + c[/tex]

Slope of the line [tex]= 3[/tex]

Y- intercept [tex]= -6[/tex]

Hence,  function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

Learn more about the linear function here

https://brainly.com/question/21107621

#SPJ3

Answer:

A. 101 × q / 2000 S

B. Ingresos totales de q unidades = 230 · q - q²

Costo total para producir q unidades = 101 × q / 2000 S

C. 222 carteras

Step-by-step explanation:

A. Ingresos totales = q × (230 - q) = 230 · q - q²

El costo unitario = S / 20

El costo fijo = S / 2000

Costo total para producir q unidades = q × (S / 20 + S / 2000) = 101 × q / 2000 S

B. Las ganancias totales = Ingresos totales- Costo total

Las ganancias totales = 230 · q - q² - 101 · q / 2000

Las ganancias totales = 229.9495 · q - q²

C, cuando las ganancias obtenidas = 1800 soles, tenemos;

1800 = 229.9495 · q - q²

q² -229.9495 + 1800 = 0

(q - 8.114) × (q - 221.84) = 0

Por lo tanto, q = 8.114 o q = 221.84

Por lo tanto, sabemos que q> 50, por lo tanto, el valor correcto de q = 221.84 o 222 carteras.

Answer:

the median increases by 0

Step-by-step explanation:

Answer:5

Step-by-step explanation:

reverse the steps

2(x+1)/3=4

2(x+1)/3×3=4×3

2(x+1)/2=12/2

x+1=6

x=6-1

x=5

Answer:

My starting number is 5

Step-by-step explanation:

Let's denote your number is a

We have:

Adding 1 => a + 1

Multiplying by 2 => (a + 1) x 2

Dividing by 3 => (a + 1) x 2/3

The final number is 4 => (a + 1) x 2/3 = 4

Now, we are going to work out a

Dividing both sides by 2/3:

(a + 1) x (2/3)/(2/3) = 4/(2/3)

then, we have:

(a + 1) x 1 = 4 x 3/2

then, we have:

a + 1 = 12/2

or

a + 1 = 6

=> a = 6 - 1 = 5

Hope this helps!

Answer:

D.120

Step-by-step explanation:

The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120

Answer:

A

Step-by-step explanation:

[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]

Therefore, the correct answer is choice A. Hope this helps!