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
is 60 : 45 and 4 : 3 equlvalent ratios?
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
Help me out please I need help
Which two numbers have a product of −18 and a sum of −7?
Answer:
2 and -9
Step-by-step explanation:
2 times -9 is -18
2 plus -9 is -7
Hope this helped!
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!!! :)
Step-by-step explanation:
hopes this help
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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?
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 :
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Solve 6x - 7y= 16 for y.
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
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
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
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Please help me with all the answers please say like 1: the answer 2: the answer like that thank you so much
z=b+ m/a, solve for a
A machine in a factory produces 25 gismos a day. After a $174 repair job, the machine improves its gizmo output by 16%.If the sale of a gizmo makes a profit of 75cents, the number of days it will take to recover the machine's repair is???
PLEAS HELP ME!!!
Answer:
Around 10 days ( 9.28 days: 9 days 6 hours 43 minutes 12 seconds).
Step-by-step explanation:
Given that 25 gizmos are produced each day, and 75 ¢ are made off of each one, a 174$ 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 dayPrize 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
when writing fraction from a graph does the x axis number go on top or bottom
Answer:
x ax-s can be horizontal and top
y axis is bottom
Step-by-step explanation:
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?
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?
I think the answer is -51
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?
Answer:
14. 90%
15. 9%
16. 166%
17. 189%
18. 10%
19. 266%
20. 40%
I need help with this question
Answer:
b
Step-by-step explanation:
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
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 equation of a line parallel to -5x+y=2 that contains the point (5,-2)
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
Julie can type 250 words in 5 minutes. How long does she take to type 900 words!
Answer:18
Step-by-step explanation:
Explain how the sample proportion p-hat can be viewed as the sample mean X-bar.
Answer:
Step-by-step explanation:
we need the picture
Find the value of X.
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!
instructions: analyze the diagram below and complete the instructions that follow
Answer:
75°
Step-by-step explanation:
x+60=5x. (vertical angles)
4x=60
x=15
m<GJI = x+60
=15+60 = 75°
Simplify the expression given below x-3/x-1 + 6/x-3 . A. B. C. D.
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
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?
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:
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)
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.
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.
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
Plzzz help D.
A
Identify the nonlinear graph,
A)
А
B)
B
C)
D
Answer:
C.
Step-by-step explanation:
It is not a straight line therefore it cannot be linear.
5 3/4 x 2 1/3 =? wut da answer?
Find the slope of f(x)=5x-4
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
express the following into standard form
[tex] \frac{1}{3500000000} [/tex]
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