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

Pls help - Solve for x​

Answers

Answer:

-3

3x/(x^2+6x) = 1 is this the qstn?

if so then the ans is -3

Laura red 312 page book in 13 hours if she read the same number of pages each hour how many pages did she read i

Answers

Answer:

24 pg per hour

Step-by-step explanation:

Divide 312 by 13, and the result will be 24. Hope it helps!

Answer:

24

Step-by-step explanation:

2/15 = h/125 need a step by step please

Answers

Answer:  h = 50/3

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

Work Shown:

2/15 = h/125

2*125 = 15*h .... cross multiply

250 = 15h

15h = 250

h = 250/15

h = (5*50)/(5*3)

h = 50/3

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

Extra info:

50/3 = (48+2)/3

50/3 = (48/3)+(2/3)

50/3 = 16 + (2/3)

50/3 = 16 & 2/3

The improper fraction 50/3 converts to the mixed number 16 & 2/3

Another way to see this is to use long division to get 50/3 = 16 remainder 2.

What is the mean for 28, 18,19,18,17

Answers

Answer:

20

Step-by-step explanation:

28 + 18 + 19 + 18 + 17 = 100

100 divide 5 = 20

Which of the following lists the numbers shown below in order from least to
greatest? Please hurry

Answers

-63/8, -7.8, 4 √5, √51

Divide: 3/8 ÷ 5/12 = ?

Answers

flip 5/12 to be 12/5 to make this equation multiplication

3/8*12/5 = 36/40 = 18/20 = 9/10

The solution of expression is,

⇒ 9 / 10

We have to given that;

To Divide,

⇒ 3/8 ÷ 5/12

Now, We can divide the numbers as;

⇒ 3/8 ÷ 5/12

⇒ 3/8 × 12/5

⇒ 36 / 40

⇒ 18/20

⇒ 9 / 10

Thus, The solution of expression is,

⇒ 9 / 10

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Barb’s Grandma is always creating math problems for her to solve. In one problem she gave Barb a store receipt that listed 72 identical items, each the same price, for a total cost of $*67.9* Barb’s grandma covered the first and last digits of the total price on the receipt with stars. Determine the value of the digits that Barb’s Grandma covered.

Answers

9514 1404 393

Answer:

  367.92

Step-by-step explanation:

72 = 9·8

In order for the total cost to be divisible by both 8 and 9, it must meet a couple of requirements:

The sum of the digits must be divisible by 9. The last three digits must be divisible by 8.

In order for the sum of digits to be divisible by 9, the first and last digits must total 5 or 14. (The total of existing digits is 22. The sum needs to be 27 or 36.)

In order for the last three digits to be divisible by 8, the last digit must be 2*. So, the first digit must be 5-2=3.

The first digit is 3; the last digit is 2.

The total cost is 367.92. Each item price is 367.92/72 = $5.11.

_____

* 790/8 = 98.75, so (790 + 2)/8 will be 99. 792 is the only number starting with 79 that is divisible by 8.

The number 49 has exactly three factors Since 98 is a multiple of 49, which must be tue of 982
It must have only two factors
tmusthave fewer than three factors
It must have exacty three factors
t must have more than three factors

Answers

Must have more than three factors

Answer:

it must have more than 3 factors

Step-by-step explanation:

that factors are 1,2,491,982

If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?

Answers

Answer:240 rotations

Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations

Walt multiples 25 times 16 using partial products what did walt do wrong

Answers

Answer:

first what the full question and if 25*16/2=200

Step-by-step explanation:

-2/5= -1/3m + 3/5
Solve please

Answers

answer :

m = 3

how i know you may ask , cause it’s easy

Going into the final exam, which will count as two tests, Sharon has test scores of 75, 86,70,61, and 90. What score does Sharon need on the final in order to have an average score of 80?

Answers

Answer:

85

Step-by-step explanation:

An object is moving at a speed of 32 yards per hour. Express this speed in feet per day.

Answers

Answer

2304 feet per day

Step-by-step explanation:

The object will move 2304 feet per day.

What is speed ?

Speed is the distance an object moves in per unit of time.Speed is a scaler quantity because in speed the direction is not specified.

According to he given question an object is moving at a speed of 32 yards per hour.

We know 1 yard is = 3 feet.

∴ 32 yards is = 3×32 = 96 feet.

So, the object is moving at a speed of 96 feet per hour.

We also know that 24 hours is = 1 day.

The object moves 96 feet hour.

∴ The will move (96×24) feet per day.

= 2304 feet per day.

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translation: 3 units left and 5 units down

Answers

( -3,-5) would be it dotted on a coordinate plane

What is the slope of the line represented by the equation 2x + 3y= -12. (A)- 3/2. (B)-2/3. (C) 2/3. (D) 3/2

Answers

Answer:

-2/3

Step-by-step explanation:

Here, we need to rearrange the equation into slope intercept form:

[tex]2x + 3y = -12[/tex]

subtract 2x on both sides:

[tex]3y = -2x-12[/tex]

divide 3 on both sides:

[tex]y = \frac{-2}{3} x + 4[/tex]

Finally, we get it in the form y = mx + b. We know that in that form, m is the slope so that means, the slope is -2/3

Answer:
-2/3

Explanation:
The equation in the question is written in the standard form of a linear equation.

Standard form: Ax+By=C

A, B and C don’t have any direct interpretation on a graph, so we can’t identify the slope or really any information about the line when the equation is in standard form.

To identify the slope from an equation, we have to change it to slope-intercept form.

Slope-intercept form: y=mx+b

Here’s what the variables mean:

Y= the y-coordinate
M=the slope
X=the x-coordinate
B= the y-intercept (the point on the line that intercepts the y-axis)

1) Rearrange the equation
2x+3y=-12
Subtract both sides by 2x to isolate 3y
-2x+2x+3y=-2x-12
3y=-2x-12
Divide both sides by 3 to isolate y
3y/3=-2/3x-12/3
y=-2/3x-4

2) Identify the m variable
The value in place of the m variable in y=mx+b represents the slope. From the equation above, we can see clearly that -2/3x is in place of the m variable. Here’s a comparison:

y=mx+b
y=-2/3x-4

Therefore, the slope of the line represented by the equation 2x+3y=-12 is -2/3.

I hope this helps! Please comment if you have any questions.

How many milliters are in 90 ounces

Answers

Answer:

2661,62 ml

Step-by-step explanation:

can i plz have brainliest :)

solbe for x : x-1/x+3x+3=0​

Answers

Answer:

x=1/4 or x=-1

Step-by-step explanation:

x−

1

x

+3x+3=0

4x2+3x−1

x

=0

Step 1: Multiply both sides by x.

4x2+3x−1=0

(4x−1)(x+1)=0(Factor left side of equation)

4x−1=0 or x+1=0(Set factors equal to 0)

x=

1

4

or x=−1

Check answers. (Plug them in to make sure they work.)

x=

1

4

(Works in original equation)

x=−1(Works in original equation)

Answer:

x=

1

4

or x=−1

Write 1/8% as a decimal number Enter your number in the box

Answers

Answer:

it is 0.125

Step-by-step explanation:

......................

PLEASE HELP IDK
Which expression could be modeled using the diagram?
An area model has 4 shaded parts and 1 unshaded part. The shaded parts are labeled 4/5.
A. 4 divided by one-fifth
B. 4 divided by 4/5
C. 4/5 divided by one-fifth
D. One-fifth divided by 4/5

Answers

Answer:

a

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i have answered questions like this before and I've also answered this question


Solving a System of Linear Inequalities

Given the system of inequalities:
4x - 5y = 1
Which shows the given inequalities in slope-intercept
form?

Answers

Slope is 4/5
Y intercept is 0,-1/5

Answer:

y = 4/5x -1/5

Step-by-step explanation:

4x -5y = 1

-5y = -4x + 1

5y = 4x - 1

y = 4/5x - 1/5

If the independent variable becomes very large what would be the expected change in the dependent variable

Answers

Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Step-by-step explanation:

A pice of lumber 2 1/4 feet long is to be cut into 3 equal pieces. How long will each piece be? Give the measurements in feet and inches.​

Answers

Answer: The required length of each piece of wood is  or 9 inches.

Step-by-step explanation:  Given that a piece of lumber is  feet long is to be cut into 3 equal pieces.

We are to find the length of each piece of wood in feet and in inches.

We will be using the UNITARY method to solve the given problem.

The length of 3 pieces of wood is equal to  

Therefore, the length of each piece of wood will be

Thus, the required length of each piece of wood is  or 9 inches.

Select all the conditions for which it is possible to construct a triangle. A.A triangle with angle measures , , and B.A triangle with side lengths 3 cm, 7 cm, and 11 cm C.A triangle with side lengths 6 in, 13 in, and 12 in D.A triangle with side lengths 8 cm and 5 cm and a angle E.A triangle with angle measures and , and a 9 cm side length

Answers

Answer:

As

Step-by-step explanation:

Aaa

A circle has a diameter of 18 inches. If 1 inch is approximately 2.54 centimeters, what is the diameter in centimeters?
A) 5.9 centimeters
B) 45.7 centimeters
C) 20.5 centimeters
D) 42.3 centimeters

Answers

Option b 45.7 is the answer

HELP WITH MATH!!! 20 points
the questions are solving systems by substitution

Answers

Answer: 1. 2x-3y=-1 y=x-1 2. y=6x-11 -2-3y=-7 3. y=3x+5 5x-4y=-3

#1. 2x-3y=-1 and y=x-1

#2. y=6x-11 and -2x-3y=-7

#3. y=-3x+5 and 5x-4y=-3

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Answers

Answer:

x=12

Step-by-step explanation:

5x-2 = 58

5x = 60

x = 12

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Answers

Evaluate for x = 3

|(3) (3) - 4| = 5

|(3) (3) - 4| = 5

= 5

what is 6 4/9 as a impropor fraction

Answers

6 4/9 as an improper fraction is 58/9

Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.

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Answer:

65

Step-by-step explanation:

Picking from 4 theme parks, 6 passes, and 5 food options.

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Answer:

I don't get this..

Step-by-step explanation:

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