Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answers

Answer 1

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p


Related Questions

A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?

Answers

I think the answer is -51

5 3/4 x 2 1/3 =? wut da answer?

Answers

The answer is 13 5/12 hope this helps

is 60 : 45 and 4 : 3 equlvalent ratios?

Answers

Answer:

Yes

Step-by-step explanation:

If you divide 60 and 45 by 15 you get 4 and 3.

Answer:

yes they are infact equivalent

Plzzz help D.
A
Identify the nonlinear graph,
A)
А
B)
B
C)
D

Answers

it’s b if i’m not mistaken

Answer:

C.

Step-by-step explanation:

It is not a straight line therefore it cannot be linear.

I need help with this question

Answers

Answer:

b

Step-by-step explanation:

A machine in a factory produces 25 gismos a day. After a $174 repair job, the machine improves its gizmo output by 16%.If the sale of a gizmo makes a profit of 75cents, the number of days it will take to recover the machine's repair is???




PLEAS HELP ME!!!

Answers

Answer:

Around 10 days ( 9.28 days: 9 days 6 hours 43 minutes 12 seconds).

Step-by-step explanation:

Given that 25 gizmos are produced each day, and 75 ¢ are made off of each one, a 174$ repair job will take away money that will need to be paid off.

We can create the following equation by using the amount of gizmos earned per day(x or time) multiplied the money made off of each one(in cents ¢), is equal to the repair job since it will be paid off once it is canceled out.

25x(75¢) = 174$.

Since the money made by each gizmo is in cents and not dollars, it is best to convert this into dollars since the repair job is in this form. Because 100¢ are in each dollar, 75¢ = 75/100 dollars = 3/4 dollars.

3/4 * 25 x = (3/4) * (25x) = (25*3) / 4 = 75/4x

(75/4)x = 174$

(75/4x) * (4/75) = (174$) * (4/75)

x = (174 * 4) / 75

x = 696 / 75

x = 9.28

We are multiplying by the reciprocal (numerator and denominator are switched) since it will make your coefficient 1 which is the variable itself. anything times it's reciprocal is equal to one.

75/4x = 174$

×4 ×4

(cancel out the denominator)

____________

75x = 696$

÷ 75 ÷ 75

(cancel out 75 to get the variable by itself)

___________

x = 696/75

x = 232/25

x = 928/100

x = 9.28

___________

Using a system of equation, the number of days it will take to recuvwr the repair cost is 58 days.

The increase in amount of gizmo produced after repair :

0.16) × 25 = 4 gizmos per day

Prize per gizmo = 75 cent = $0.75

Repair cost = $174

The number of days it will take to recover the repair fee can be calculated thus :

(Increase on gizmo per day × cost per gizmo)× number of days = repair fee

(4 × 0.75)d= 174

3d = 174

d = 174 / 3

d = 58

Therefore, it will take 58 days to recover the repair fee.

Learn more : https://brainly.com/question/18796573

Simplify the expression given below x-3/x-1 + 6/x-3 . A. B. C. D.

Answers

Answer:

= x^2 + 3 / (x-1)(x-3)

Step-by-step explanation:

Adjust fractions based on the LCM:

= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)

Combine the fractions (equal denominators):

= (x-3)^2 + 6(x-1) / (x-1) (x-3)

Expand:

x^2 + 3 / (x-1)(x-3)

Answer:d

X^2+3\(x-1)x-3)

Step-by-step explanation:

On Plato

express the following into standard form
[tex] \frac{1}{3500000000} [/tex]

Answers

Answer:

350000

P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6

If the area of the base of the box is 112 square inches and the height is 3.5 inches, what is the volume of the box?

Answers

Answer: uh i think its 392 inches squared

Step-by-step explanation:

The volume of the box whose area is 112 inch² and height 3.5 inch is

392 inch³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

The area of the box = 112 inch²

The height of the box = 3.5 inch

Now , the volume of the box is given by the equation

Volume of the box = Area of the box × Height of the box

Volume of the box = 112 inch² x 3.5 inch

Volume of the box = 392 inch³

Therefore , the volume of the box is 392 inch³

Hence , the volume of the box whose area is 112 inch² and height 3.5 inch is 392 inch³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ2

Olga has $40 in her wallet. She has one more $5 bill than $10 bills, and two more $1 bills than $5 bills. If Olga has only three types of bills, how many bills of each denomination does she have?

Answers

Answer:

Number of $10 bills = 2

Number of $5 bills = 3

Number of $1 bills  = 5

Step-by-step explanation:

Given:

Total amount = $40

Number of $10 bills = x

Number of $5 bills = x + 1

Number of $1 bills = x + 1 + 2 = x + 3

Find:

Number of each bills

Computation:

10(x) + 5(x+1) + 1(x+3) = 40

10x + 5x + 5 + x + 3 = 40

16x = 32

x = 2

Number of $10 bills = x = 2

Number of $5 bills = x + 1 = 3

Number of $1 bills  = x + 3 = 5

Answer:

# of $10 bills = 2

# of $5 bills = 3

# of $1 bills  = 5

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a) Simplify the expression and explain each step. (2 points)
4(3x+2)−2
b) Factor the expression completely. (1 point)
20b−16

Answers

bbaxjs ,hjghlgthjgthjnrgtirtmjogrthinlgtrknhgtrhgtlkjbvgthjbmhjvtg

Julie can type 250 words in 5 minutes. How long does she take to type 900 words!

Answers

Answer:18

Step-by-step explanation:

when writing fraction from a graph does the x axis number go on top or bottom​

Answers

Answer:

x ax-s can be horizontal and top

y axis is bottom

Step-by-step explanation:

Harry has a part-time job as a babysitter. The table below shows the amount of money Harry earned for different numbers of hours of work:

Harry's Earnings from Babysitting
Number of Hours Worked Money Earned (dollars)
5 60
6 72
8
120

Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Harry also does part-time yard work. The ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10. Create a table to show the money earned by Harry for 5, 6, and 8 hours of work in the yard. (3 points)

Part C: How many more dollars does Harry earn working as a babysitter for 5 hours than doing yard work for 5 hours? Show your work. (3 points)

Answers

Answer:

Part A- The 1st box is 96 and the second box is 10.

PartB-

Part C-

Step-by-step explanation:

Part A:

5x12=60

6x12=72

8x12=96

10x12=120

So the 1st box is 96 and the second box is 10.

Part B:

5     $50

6     $60

8     $80

I know this because Harry receives $10 per hour so you have to multiply the number of hours by $10.

Part C:

If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50. Harry would receive $10 more by babysitting than by doing yard work.

Hoped this helped.

14) What is 50% of 180?
15) What is 25% of 36?
16) What is 100% of 166?
17) What is 150% of 126?
18) What is 10% of 100?
19) What is 200% of 133?
20) What is 25% of 172?

Answers

Answer:

14. 90%

15. 9%

16. 166%

17. 189%

18. 10%

19. 266%

20. 40%

AMY HAS TWO TOMATO PLANTS. ONE IS 5 3/4 INCHES TALL AND THE OTHER IS 8 1/2 INCHES TALL. WHAT IS THE DIFFERENCE IN HEIGHT BETWEEN THE TWO TOMATO PLANTS?

Answers

The answer is 2 3/4 inches

Please help me with all the answers please say like 1: the answer 2: the answer like that thank you so much

Answers

1: 8200,82000,820000 yen
2:12
3:8
4:6
5:4 months

Find the equation of a line parallel to -5x+y=2 that contains the point (5,-2)

Answers

Step-by-step explanation:

y= 5x+2

Well first, parallel equations will always have to same slope so we know one part of the equation, 5x

I always plug in random numbers for b into desmos until the line passes through the given point orrrr you can use the point, plug it into the equation, and solve for b

-2=5(5)+b

Can someone help ME PLEASE?!!! will mark brainliest, a friend request, and will rate ur answer
Can someone write these down on a piece of paper?
THX A LOT FOR WHO EVER HELPS ME!!! :)

Answers

Step-by-step explanation:

hopes this help

gggggyyrtbtb5btbtbb5b5b6b66btb5tb6h6

Which two numbers have a product of −18 and a sum of −7?

Answers

Answer:

2 and -9

Step-by-step explanation:

2 times -9 is -18

2 plus -9 is -7

Hope this helped!

instructions: analyze the diagram below and complete the instructions that follow​

Answers

Answer:

75°

Step-by-step explanation:

x+60=5x. (vertical angles)

4x=60

x=15

m<GJI = x+60

=15+60 = 75°

Where is the point (-8,0) located on the coordinate plane?

1. On the X-axis
2. In quadrant ll
3. In quadrant lll
4. On the y-axis​

Answers

on the x-axis but i’m not 100% sure

Which operation results in an expression equivalent to ? 23y^4 - 6y^3 + 35y^2 - 20y
A. Q - P

B. PQ

C. P - Q

D. P + Q

Answers

Answer:

D. P + Q

Explanation:

Given:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7)

Required:

Determine which operation will give an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

SOLUTION:

Perform each operation given to see which of them gives an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

Q - P:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7)

Q - P = (5y² - 4y)(3y² + 7) - (8y⁴ + 6y³ + 8y)

(5y²(3y² + 7) -4y(3y² + 7)) - (8y⁴ + 6y³ + 8y)

(15y⁴ + 35y² - 12y³ - 28y) - (8y⁴ + 6y³ + 8y)

Open parentheses

15y⁴ + 35y² - 12y³ - 28y - 8y⁴ - 6y³ - 8y

Collect like terms

15y⁴ - 8y⁴ - 12y³ - 6y³ + 35y² - 28y - 8y

7y⁴ - 18y³ + 35y² - 36y

Therefore, P - Q does not give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

PQ:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

PQ = (8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y)

=(8y⁴(15y⁴ + 35y² - 12y³ - 28y) +6y³(8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y) +8y(8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y))

= 120y⁸ . . . . .

Note: You don't need to perform this operation further anymore. It would definitely not give us the equivalent expression we are looking for. The degree of the leading term (120y⁸) is way too greater than the degree of the leading term (23y⁴) of the equivalent expression we are looking for.

Thus, PQ cannot give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

P - Q:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

P - Q = (8y⁴ + 6y³ + 8y) - (15y⁴ + 35y² - 12y³ - 28y)

Open parentheses

8y⁴ + 6y³ + 8y - 15y⁴ - 35y² + 12y³ + 28y

Collect like terms

8y⁴ - 15y⁴ + 6y³ + 12y³ - 35y² + 8y + 28y

-7y⁴ + 18y³ - 35y² + 36y

Therefore, P - Q cannot give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

P + Q:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

P + Q = (8y⁴ + 6y³ + 8y) + (15y⁴ + 35y² - 12y³ - 28y)

Open parentheses

8y⁴ + 6y³ + 8y + 15y⁴ + 35y² - 12y³ - 28y

Collect like terms

8y⁴ + 15y⁴ + 6y³ - 12y³ + 35y² + 8y - 28y

23y³ - 6y³ + 35y² - 20y

Therefore, P + Q will result in an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

The answer is D.

Find the slope of f(x)=5x-4

Answers

Answer:

5

Step-by-step explanation:

Answer:

slope, m = 5

Step-by-step explanation:

Recall that the slope-intercept form of a linear equation can be written:

y = mx + b  or f(x) = mx + b

where m is the slope of the line.

in our case, we are given

f(x) = 5x - 4

if we compare this with the general equations above, we can see that

slope = m = 5

hence the slope is 5

Explain how the sample proportion p-hat can be viewed as the sample mean X-bar.

Answers

Answer:

Step-by-step explanation:

we need the picture

Solve 6x - 7y= 16 for y.

Answers

Answer:

y = 6/7x -16/7

Step-by-step explanation:

6x - 7y= 16

Subtract 6x from each side

6x-7y-6x = -6x+16

-7y = -6x+16

Divide by -7

-7y/-7 = -6x/-7 + 16/-7

y = 6/7x -16/7

6x - 7y = 16

Subtract 6x from both sides.

-7y = -6x + 16

Divide both sides by -7

y = 6/7x - 16/7

Find the value of X.

Answers

Answer:

x = 59

Step-by-step explanation:

34 + x - 30 + 5x + 2 = 360

34 - 30 + 2 + x + 5x = 360

4 + 2 + 6x = 360

6 + 6x = 360

6x = 354

x = 59

Hope this helped!

z=b+ m/a, solve for a

Answers

You can not solve for a as all of the numbers are unknown

Help me out please I need help

Answers

it would be 7ounces/minute

you just need to figure out what the difference of an hour and a minute is. an hour=60 minutes so you would want to divide 420 by 60 to get your answer
420/60=7 so seven ounces per min.

PLEASE HELP ASAP!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls.
x is boys
y is girls
800=1.5x=y
Determine how many boys and girls attend Park Middle School. Round to the nearest whole number if necessary. Show your work.

Answers

Answer:

320 boys; 480 girls

Step-by-step explanation:

Here is the correct system of equations you can write for this equation:

1.5x=y

x+y=800

x+1.5x=800

2.5x=800

x=320

320+y=800

y=480

Other Questions
What occured during the battles of trenton and princeton? Given: Lines y and z are parallel, and ABC forms a triangle. Prove: m5 + m2 + m6 = 180 Lines y and z are parallel. Triangle A B C sits between the 2 lines with point A on line y and points C and B on line z. Angle C A B is 2. Its exterior angle to the left is 1 and its exterior angle to the right is 3. Angle A B C is 6 and its exterior angle to the right is 7. Angle B C A is 5 and its exterior angle to the left is 4. Statements Reasons 1. ABC is a triangle 1. given 2. y z 2. given 3. 1 5; 3 6 3. ? 4. m1 = m5; m3 = m6 4. def. 5. m1 + m2 + m3 = mLAM 5. addition postulate 6. m1 + m2 + m3 = 180 6. def. Straight angle 7. m5 + m2 + m6 = 180 7. substitution Which could be the missing reason in Step 3? alternate interior angles are congruent alternate exterior angles are congruent vertical angles are congruent corresponding angles are congruent 1 pound of a certain candy cost $8, how many pounds can be purchased for $12? True or false Even peaceful encounters with Spanish conquistadors often resulted in the death of American Indians Which is a grievance. Question 4 (1 point)Why does the author include the detailed information about Poe's final days?aTo argue that Poe regretted dedicating his life to writing.bTo explain the likely cause of Poe's mysterious death,cTo highlight the alcoholism Poe suffered from.dTo suggest that Poe was plagued with suffered great up until his death. in what ways does pollination in gymnosperms differ from pollination in angiosperms? 10a^2b^0 for a=3, b=8 (239820491+122389102938)+(32193846789231+2318947291392918)= helppppp Which agricultural society emerged between 4000 and 2400 B.C.?MesopotamiaEgyptGreeceIndiaJapanChina helpp meeee will award brainliest Please hlp im timed on this In the first week of July, a record 1020 people went to the local swimming pool. In the second week,100 fewer people went to the pool than in the first week. In the third week,130 more people went to the pool than in the second week. In the fourth week,132 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks? A student lives in an apartment complex next to a park and train tracks. The student observes that they can hear the train coming sooner and from farther away when they are in front of their apartment and can only barely hear the train when they are in the park despite both being the same distance from the railroad tracks. The student developed the model above. Using the model, identify two potential wave phenomena that occur and are the reason behind why the student can only hear the train in front of the apartment complex. A. The train can be heard more easily in front of the apartment complex because of reflection and interference. As the sound comes from the train, the sound waves reflect off of the complex and interfere with each other increasing the amplitude of the wave to make it easier to hear. B. The train can not be heard as easily in the park because of reflection and diffraction. The sound reflects off of the trees in the park and diffract between the trees, this causes the waves to bend too much to be heard. C. The train can be heard more easily in front of the apartment complex because of diffraction and refraction. The sound waves diffract between the other buildings aiming them towards the apartment complex and then the sound refracts through the apartment complex which makes it more difficult to hear in the park. D. The train can not be heard as easily in the park because of interference and reflection. The other buildings in front of the park cause interference of the sound waves from the train and the trees in the park cause reflection making it too hard to hear the train. -cz+6z= tz+83solve for z Robert G. Flanders Jr., the state-appointed receiver for Central Falls, RI, said his city's declaration of bankruptcy had proved invaluable in helping it cut costs. Before the city declared bankruptcy, he said, he had found it impossible to wring meaningful concessions out of the city's unions and retirees, who were being asked to give up roughly half of the pensions they had earned as the city ran out of cash. True or False i need help in finding numerical value please Find the value of the expression below.15 + 5 3-------------- (fraction)3 + 6 5 4 2 Question is on a picture A sequence of numbers is 0, 12, 24, 36, 48,.... Drag tiles to complete the statements.