Full time tuition at Duke University is $55960 per year. Round this number to the nearest hundred.

angles opposite each other are equal as opposed to add up to 180

so

5x = 100

x = 20

Answer:

Option B: 25 inches, 60 inches and 65 inches is the correct answer.

Step-by-step explanation:

We will use Pythagorean theorem to find out the dimensions that Adam should use.

A. 50 in, 110 in and 130 in

Using Pythagorean theorem;

[tex]a^2+b^2=c^2 \\(50)^2 + (110)^2 = (130)^2\\2500 + 12100 = 16900\\14600\neq 16900[/tex]

These dimensions will not form a right triangle.

B. 25 in, 60 in, and 65 in

[tex](25)^2 + (60)^2=(65)^2\\625+3600= 4225\\4225=4225[/tex]

These dimensions of the frame will form a right triangle.

C. 40 in., 44 in., 58 in.

[tex](40)^2+(44)^2=(58)^2\\1600+1936=3364\\3536\neq 3364[/tex]

These dimensions will not form a right angled triangle.

D. 130 in., 50 in, 60 in

The larger dimension represents the hypotenuse in right angled triangle.

[tex](50)^2+(60)^2=(130)^2\\2500+3600=16900\\6100\neq 16900[/tex]

These dimensions will not form a right angled triangle.

Hence,

Option B: 25 inches, 60 inches and 65 inches is the correct answer.

Step-by-step explanation:

A proportional relationship graph would show that the points can be arranged in a line that passes through the origin.

All of the points in Graphs B, C and D cannot be connected in 1 straight line, hence they are not proportional relationships.

Only Graph A shows a proportional relationship.

Answer:

a

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Its the correct answer trust me

Answer:

72

is the answer

Step-by-step explanation:

Answer:

( c )

Step-by-step explanation:

3/4 = x/24

24 × 3/4 = x

18 = x

so (c) is correct

Answer:

a. individual - A likely voter within the city limits

b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.

c. population - The set of responses of all likely voters within the city limits.

d. Sample - The set of responses of the 400 likely voters within the city limits.

e. variable - The response of a likely voter within the city limits.

f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.

Step-by-step explanation:

Explaining the concepts :

An individual simply means each single data point in a dataset.

A set of individuals in a certain make up of interest is called a population.

A sample is defined as a random subset which is representative of the population.

Parameter is a statistical value derived from a population

Statistic is a statistical value derived from a sample

Variable - describes the attributes or characteristic of a sample or population.

a. individual - A likely voter within the city limits

b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.

c. population - The set of responses of all likely voters within the city limits.

d. Sample - The set of responses of the 400 likely voters within the city limits.

e. variable - The response of a likely voter within the city limits.

f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.

Answer: 136 ounces

Step-by-step explanation:

Given: The ratio of cranberries and raspberries is 8:9 .

Let quantity of cranberries= 8x , quantity of raspberries = 9x

If quantity of cranberries = 64 ounces

[tex]\Rightarrow\ 8x=64\\\\\Rightarrow\ x=\dfrac{64}{8}\\\\\Rightarrow\ x=8[/tex]

Quantity of raspberries = 9(8) = 72 ounces

Total quantity = 64 ounces  +  72 ounces =  136 ounces

Hence, the total weight of berries purchased=  136 ounces

Answer:

A

Step-by-step explanation:

Hope it helps!

Answer:

i think its b

Step-by-step explanation:

Answer:

43/13  or  1.0769 = 1

Step-by-step explanation:

Answer:

6/4

Step-by-step explanation:

so basically all of the fractions and answer simplify down to 2/3

escept for the 6/4, which simplies to 1.5, and not 2/3

so its 6/4

Answer:A temperature that is below zero is negative. Integers are positive and negative whole numbers.

Step-by-step explanation:

Give me 5 star please

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.

Answer:

6lbs for $50.00 is cheaper

Step-by-step explanation:

Answer$50

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

x=6.5

Step-by-step explanation:

Don't worry I just know

Answer:

X = 13/2

Step-by-step explanation:

7(x-2)=3(x+4)

Distribute

7x - 14 = 3x + 12

-3x from both sides

4x -14 = 12

Add 14

4x = 26

Dive by 4

X = 13/2

If u simplify 26/4

Answer:

eJeriche is correct, the answer is 4m - 3w + 4n, John didn't collect the like terms correctly

Step-by-step explanation:

Answer: 4m - 3w + 4n - this is the right decision.

Step-by-step explanation:

m - 5w + 3m + 4n + 2w = m + 3m - 5w + 2w + 4n = 4m - 3w + 4n

Jericho wrote correctly, and John - not.

John put together various variables n and m, which is not allowed.

Answer:

Its all of them or just 6

Step-by-step explanation:

Step-by-step explanation:

¹1litre =100cl

5 litres =500cl

0.66cl=y

cross multiply

500÷0.66 =7

Answer:

120

Step-by-step explanation:

do 12 x 10 you get 120

hopes this helps can I pls have brainlest

Answer:

78 ft

Step-by-step explanation:

Find the area of the triangle by multiplying 7 x 6 and subtract that by the area you get from the shaded region so 120 - 42= 78 ft

Answer:

329

Step-by-step explanation:

Answer:

Where is question

Step-by-step explanation:

Answer:

Solution,

Given,

f(x) = -4x + 7

g(x) = [tex]x^{3}[/tex]

Now,

fog(x) = f{g(x)} = f([tex]x^{3}[/tex]) = -4[tex]x^{3}[/tex]+7

Answer:

im on it:) gimme a quick sec and ill come back and edit

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

46.5 kilometer per hour

Step-by-step explanation:

plz brainliest :)

#CarryOnLearning

Answer:

Step-by-step explanation:

It's hard to show how this is done other than providing an answer.

r = d/t

d = 279 miles

t = 6 hours.

r = 279/6

r = 46.5 miles / hour

Answer:

16/24

Step-by-step explanation:

4/6 = 16/24

Answer:

whar that so easy

Step-by-step explanation:

yes is all correct I just check it but check it on a calculator too

Answer:

[tex]x = 24.8394847[/tex]

[tex]x = 13.69707998[/tex]

[tex]x = 36.24913792[/tex]

[tex]x = 10.72380529[/tex]

Step-by-step explanation:

[tex]1.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {16}^{2} + {19}^{2} } [/tex]

[tex]c = \sqrt{256 + 361} [/tex]

[tex]c = \sqrt{617} [/tex]

[tex]c = 24.8394847[/tex]

[tex]x = 24.8394847[/tex]

[tex]x \approx24.8[/tex]

[tex]2.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {16.5}^{2} - {9.2}^{2} } [/tex]

[tex]a = \sqrt{272.25 - 84.64} [/tex]

[tex]a = \sqrt{187.61} [/tex]

[tex]a = 13.69707998[/tex]

[tex]x = 13.69707998[/tex]

[tex]x \approx13.7[/tex]

[tex]3.[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {30 \div 2}^{2} + {33}^{2} } [/tex]

[tex]c = \sqrt{ {15}^{2} + {33}^{2} } [/tex]

[tex]c = \sqrt{225 + 1089} [/tex]

[tex]c = \sqrt{1314} [/tex]

[tex]c = 36.24913792[/tex]

[tex]x = 36.24913792[/tex]

[tex]x \approx36.2[/tex]

[tex]4.[/tex]

[tex] {a}^{2} = {c}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {25}^{2} - {16}^{2} } [/tex]

[tex]a = \sqrt{625 - 256} [/tex]

[tex]a = \sqrt{369} [/tex]

[tex]a = 19.20937271[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {22}^{2} - { \sqrt{369} }^{2} } [/tex]

[tex]a = \sqrt{484 - 369} [/tex]

[tex]a = \sqrt{115} [/tex]

[tex]a = 10.72380529[/tex]

[tex]x = 10.72380529[/tex]

[tex]x \approx10.7[/tex]

Answer:

[tex]\sqrt{34[/tex]

Step-by-step explanation:

distance formula: