Tiara's aunt gave her $200 as a high school graduation gift to help her pay for her on-campus meals when she begins college in the fall. Each trip to the dining hall will costTiara $6.50.

The function b(x) = 200 -6.50x represents the remaining balance of Tiara's gift when she makes x trips to the dining hall.

Which of the following is NOT a possible
solution?

a. (4, 174)
b. (13, 115.50)
c. (27, 24.50)
d. (32, -8)

Answers

Answer 1

D is not a possible solution.


Related Questions

find 2.5 divided by 0.05
A.5
B.50
C.500
D.5000

Answers

Answer:

Step-by-step explanation:

2.5/0.05 = 250/5 = 50

Answer:

2.5/0.05 = 250/5 = 50

Step-by-step explanation:

An angle measures 120 degrees. Describe how to use special right triangles and the unit circle as tools to calculate the sine and cosine of this angle.

Answers

Answer:

We know that, for a right triangle:

Cos(A) = (adjacent cathetus)/hipotenuse

sin(A) = (opposite cathetus)/Hipotenuse.

If we are in a right triangle inside the unit circle, we have that hypotenuse = 1.

Now, when you draw the unit circle, now from the center of the axis you must draw a straigth line (that forms an angle of 120° with the x-axis), and in the point where it cuts the unit circle we do 2 things.

from this point, you can draw a parallel line to the y-axis, the point where this line touches the x-axis is the value of the cosine.

Now you draw a line that is parallel to the x-axis (remember that the line must pass trough the point of before), the point where this line cuts the y-axis is the value of the sine

You should get:

sin(120°) = 0.87

cos(120°) = -0.5

Expand (a + 4)(a – 3) by using the FOIL method.

Answers

(a+4)(a-3)
a^2 - 3a + 4a - 12
a^2 + a - 12

Write <, >, or = draw a quick picture if you need to.

Answers

Look at the attached picture

Hope it will help you.

Answer:

Answer is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!

The ratio of the number of students at the zoo in the morning to the number of students at the zoo in the afternoon was 5:3. There were 145 students at the zoo in the morning. What was the number of students at the zoo in the afternoon?

Answers

Answer:

87 in the afternoon

Step-by-step explanation:

morning: afternoon

5                   3

There were 145 in the morning

145/5 =29

Multiply each side by 29

morning: afternoon

5*29                 3*29

145                  87

There are 87 in the afternoon


Question 2
The measures of two supplementary angles are in the ratio of 2: 3. Find the measurements of the two angles.
Question 3
In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles.



Answers

Answer:

1 ) m∠ 1 = 72°, m∠2 = 108°,

2 ) m∠ 1 = 22.5°, m∠2 = 67.5°

Step-by-step explanation:

Question 2 ) Assuming these are supplementary angles, we know that their measures form a linear pair that add to 180°;

let us assign these angles as 1, and 2 ⇒ m∠ 1 + m∠ 2 = 180,

with the given ratios 2 to 3, we can say x ⇒ one part of measure, so that ⇒ 2x + 3x = 180,

2x + 3x = 180 ⇒ combine like terms,

5x = 180 ⇒ divide either side by 5,

x = 36°

If this is so, m∠ 1 = 2x = 2 * ( 36 ) = 72°, and m∠ 2 = 3x = 3 * ( 36 ) = 108°;

Solution; m∠ 1 = 72°, m∠2 = 108°

Question 3 ) If it is known that two angles are complementary to one another, we can say their measures add to 90°;

let us one more, assign these angles as 1 and 2 ⇒ m∠ 1 + m∠ 2 = 180,

knowing that the measure of one angle is 3 times that of the other angle we can derive the ratio 1 : 3 in the manner smaller ∠ measure : bigger ∠ measure so that ⇒ x + 3x = 90,

x + 3x = 90 ⇒ combine like terms,

4x = 90 ⇒ divide either side by 4,

x = 22.5

If this is so, m∠ 1 = x = 1 * ( 22.5 ) = 22.5°, and m∠ 2 = 3x = 3 * ( 22.5 ) = 67.5°;

Solution; m∠ 1 = 22.5°, m∠2 = 67.5°

The area of a square lawn is 169 yd2. What is the length of each side of the lawn?

Answers

Answer:

  13 yd

Step-by-step explanation:

The area of a square is the square of the side length, so the side length is the square root of the area.

  s = √(169 yd²) = 13 yd

Calculate the range for both sets of data:
Set A: 4.8, 8.2, 5.1, 10, 3.2, 2.8, 0.4
Set B: 3.6, 9.2, 6.7, 6.4, 5.9, 8

Answers

So the range of set A is 9.6

The range of set B is 5.6

Look at the attached picture

Hope it will help you

Good luck on your assignment

Please help me with the question below!! PLEASEEEE

Answers

Answer:

32

Step-by-step explanation:

22 + 44 + 24 + 78 = 168

200 - 168 = 32

I think the answer is 32! hope this helps!!

Plz help. I am very stuck. Its due today and I have none to ask help to.

Answers

Answer:

Hi there!

The correct answers for the question are:

For 45 mph, the trip time is: 9.78

For 55 mph, the trip time is: 8.36

For 65 mph, the trip time is: 7.38

Step-by-step explanation:

The values given to you represent the variable "S" so therefore you just plug in the values into the equation and you get "t"

Answer:

For 45 mph the trip time is 9.78 For 55 mph the trip time is 8.36 For 65 mph the trip time is 7.38

Step-by-step explanation:

Make Me brainliest

The diagram below shows the rectangle PLUM.
P
L
8
M
U
Find the area of rectangle PLUM.

Answers

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = [tex]\frac{36}{8}[/tex]

AM = 4.5 units

Area of PLM = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]

                     = [tex]\frac{1}{2}(ML)(AP)[/tex]

                     = [tex]\frac{1}{2}(8 + 4.5)(6)[/tex]

                     = 12.5 × 3

                     = 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

Answer: 75

Step-by-step explanation: Khan Academy

A cylindrical container contains some sand as shown below. How much more sand must be added for the container to be half full? Use 3.14 for pi.



785 cubic inches

392.5 cubic inches

235.5 cubic inches

157 cubic inches

Answers

Answer: 785 cubic inches

Step-by-step explanation:

2πR + 2πR is the equation.

2π(5)^2 + 2π(5)(10)

50π + 200π

250 (3.14)= 785 inches cubed

I strongly believe this answer is correct, hope it helps.

PLEASE HELP
Find the diameter of the object.

Answers

Answer:

d the diameter is 4 inches.

Step-by-step explanation:

d=2r=2×2=4

the diameter of the object is 4

A park near Raphael’s home is shaped like a trapezoid.
To find its area, Raphael walked along the short base and measured it.
Then he walked at a right angle and measured the distance to the other side of the park.
Finally he measured the long distance of the base.
Use Raphael’s measurements shown below to find the area of the park.
Enter your answer in the box.

A trapezoid with short base one hundred forty-five yards, long base two hundred twenty-five yards, and height eighty yards.

Answers

Answer:

14800

Step-by-step explanation:

To find the area of a trapezoid you and the little base and the big base. then divide the answer by two. Then you multiply the answer you just got by the height.

Equation:

145+225=370

370/2=185

185*80=14800

Area of the park is 14800 square yards

What is Trapezoid?

A quadrilateral with at least one pair of parallel sides is called Trapezoid

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Given,

Short base a = 145 yards

Long base b = 225 yards

Height h = 80 yards

Area of the park = [tex]\frac{a+b}{2}h[/tex]

Area of the park =[tex](\frac{145+225}{2})80[/tex] = 14800 square yards

Hence, the area of the park is 14800 square yards

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ASAP

At Saturday night's football game there were 18 less fans than half the fans at Friday night's game. There were "x" fans at Friday's game .
Write an expression to represent the number of fans at Saturday's game.

Answers

Answer:x-18

Step-by-step explanation:

Can I have brainlest

Answer:

x-18

Step-by-step explanation:

What is the equation of a line that passes through points (0, 4) and (-4, -8)? y = 2x + 4 y = 2x - 4 y = 3x + 4 y = 3x - 4

Answers

Answer:

y= 3x +4

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx +c, where m is the gradient and c is the y-intercept.

To find the value of m, use the gradient formula below:

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Gradient

[tex] = \frac{4 - ( - 8)}{0 - ( - 4)} \\ = \frac{4 + 8}{0 + 4} \\ = \frac{12}{4} \\ = 3[/tex]

Subst. m=3 into the equation.

y= 3x +c

To find the value of c, substitute a coordinate.

When x=0, y=4,

4= 3(0) +c

c=4

Thus, the equation of the line is y= 3x +4.

will give bianleast 10 ponits
Which equation can be used to find the answer?


A fence with four sections has a perimeter of 43 ft. Three of the sections have lengths of 8 ft, 12 ft, and 11 ft. What is the length of the fourth section?

x = 43 + 8 + 12 + 11

x + 8 + 12 + 11 = 43

x – 8 + 12 +11 = 43

x – 43 = 8 + 12 –11

Answers

Answer:

x + 8 + 12 + 11 = 43

Step-by-step explanation:

The perimeter is the length of the 4 sections of fencing.

If x represents the fourth section and the perimeter is 43, then

x + 8 + 12 + 11 = 43, that is

x + 31 = 43 ( subtract 31 from both sides )

x = 12

The length of the fourth section is 12 ft

Alan has read 80​% of a book. He has 4 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

20 pages

Step-by step:

4 pages = 20%

20(5)=100 so 4(5)= 100% of the book

4(5)= 20

the book has 20 pages.

Answer:

20 pages

Step-by-step explanation:

If 100%-80%=4 pages

then 20%=4 pages (multipy both sides by 5)

100%=20

20 pages

Show me how to solve this, please.
[tex](2.7 * 10^{-5}) / (9 * 10^{-6})[/tex]

Answers

Answer:

3

Step-by-step explanation:

2.7 * 10 ^-5 / 9 * 10 ^-6

First divide the numbers

2.7 / 9 = .3

Then divide the exponents

10^-5 / 10 ^ -6

When we divide exponents we subtract

10^(-5 - -6) = 10 ^1

.3 * 10 ^1

But scientific notation has a number between 1 and less than 10

Move the decimal 1 place to the left, so we subtract 1 from the exponent

3 * 10 ^ (1-1)

3 * 10 ^0

What value is equivalent to the product of 4sqrt(2) and 2 sqrt 6^ ?

Answers

Answer: 4

Step-by-step explanation:

[tex](\sqrt{x} )(\sqrt{2x} )[/tex]

Multiply the values under the root.

[tex]\sqrt{2x*x}\\\sqrt{2x^2}[/tex]

If you separate these into two roots, one of the x's will come out of the root.

[tex]x\sqrt{2}[/tex]

In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).

Answers

Answer:

43%

Step-by-step explanation:

A student translated the phrase below into an algebraic expression, and then evaluated if for y = 24. Is the studer
work correct?
The difference of a number and 6; evaluate when y = 24:
24
The expression is \. For y = 24,
Y
6
= 4
6
6
ООО
No, the student wrote a division expression instead of a subtraction expression.
No, the student simplified the fraction incorrectly.
No, the student made an error when substituting.
Yes, the student's work is correct.

Answers

Answer:No, the student wrote a division expression instead of a subtraction expression

Step-by-step explanation:

Answer:no, a student wrote a division expression instead of a subtraction expression

Step-by-step explanation:i got it right on edegunity

The measure of one supplementary angle is 45 degrees more than twice the measure of the other. Write an equation to find the measure of each angle. Solve to find each angle

Answers

Answer:

45 , 135

Step-by-step explanation:

LET ONE ANGLE BE x AND OTHER ANGLE BE 45+2x

since they are supplementary angles ,

x+2x+45=180

3x = 180 -45

3x = 135

x = 135/3

x =45 degree

therefore measure of one angle = 45 degree and other angle angle  = 2*45+45 = 90+45 = 135 degree

hope it helps

find the x to the nearest tenth ​

Answers

Answer:

It is 7.2 because if you imagine moving the 6 line in the other you can see the 9.2 is too long.

Step-by-step explanation:

Which situation results in a final value of zero?
A. The overall change in temperature when the temperature goes from -10 degrees fahrenheit, to 10 degrees fahrenheit.

B. The total profit made from when a person buys an item for $2.25, and then sells the item for $2.25.

C. The overall change in altitude in a hot air balloon after rising 21 kilometers from sea level.

D. The total distance a person travels when he bikes 3.1 miles to school and the bikes 3.1 miles back home.

Answers

Answer:

B

Step-by-step explanation:

The profit made is equal to 2.25-2.25 which is 0.

The situation "the total profit is made when a person buys an item for $2.25 and then sells the item for $2.25" is result in a final value of zero. which is the correct answer would be an option (B).

What is the distance?

Distance is defined as the product of speed and time.

As per option (A),

The overall change in temperature = 10 - (-10) = 20 degrees

As per option (B),

The profit made is equal to 2.25 - 2.25 = 0 which is zero.

As per option (C),

The overall change in altitude = 21 - 0 = 21 kilometers

As per option (D),

The total distance traveled by person = 3.1 + 3.1 = 6.2 miles

Thus, the situation "the total profit is made when a person buys an item for $2.25 and then sells the item for $2.25" is result in a final value of zero.

Hence, the correct answer would be option (B).

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A line has an x-intercept of 3 and a y-intercept of 2. Determine the slope of a line parallel to this line.

Answers

Answer:

-2/3 = m

Step-by-step explanation:

Points on the given line are (3, 0) and (0, 2).  Going from (0, 2) to (3, 0), the run is 3 and the rise is -2.  Thus, the slope of the line connecting these two points is m = rise / run = -2/3 = m

Factor completely: b^8+a^2b^4+1/4a^4

Answers

Answer:

(b^4+a^2/2)^2

Step-by-step explanation:

Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?
3 (4 minus y) minus 7; 5 + 3 y
9 + y + 4 y minus 2 minus 3 y; Negative 2 y + 7
5 + y minus 2 minus 6 y + y; 8 y + 3
2 y + 7 + y minus 2 + y; 4 y + 5

Answers

Answer:

The Answer is D

Step-by-step explanation:

just took the quiz :p

Answer:

I believe the answer is D!

Step-by-step explanation:

I hope this helps ^w^

The table shows the number of tennis balls that can fit into a given number of cans each can holds the same number of balls fill in the missing value in the table

Answers

Step-by-step explanation:

i could have answer it if you have given the table too!

that's it ....

Answer:

5

Step-by-step explanation:

2 x 3 = 6

5 x 3 = 15

7 x 3 = 21

9 x 3 = 27

(05.01 LC)


Look at the figure shown below:


A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 28, the length of SQ is equal to 2x, the length of PT is equal to 35 and the length of TR is e


Rita is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 24.



Statement Reason

1. Segment ST is parallel to segment QR Given

2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent

3. Angle SPT is congruent to angle QPR Reflexive property of angles

4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate

5. (2x + 28):95 = Corresponding sides of similar triangles are in proportion


Which of the following can she use to complete statement 5? (1 point)



28:95



28:35



60:95



60:35

Answers

Answer:

28:35

Step-by-step explanation:

Since Rita is trying to prove that the two triangles are similar, she will be looking for corresponding sets of sides that have an equivalent ratio. Therefore, since for the big triangle she uses sides PQ and PR, the corresponding sides on the smaller triangle would be PS and PT, which have a ratio of 28:35. Hope this helps!

The statement is completed by 28 :35, the correct option is B.

What are Similar Triangles?

Two triangles of the same shape are said to be similar when their corresponding sides are proportional.

The triangle RPQ

The length of PS is equal to 28

The length of SQ is equal to 2x

The length of PT is equal to 35

The length of TR is equal to 60

The triangles  SPT and QPR are proved to be similar in Step 4 by the property that corresponding sides of similar triangles are in proportion.

(2x + 28):95 =28 :35

Therefore, the statement is completed by 28 :35, the correct option is B.

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