Answer: See explanation
Step-by-step explanation:
a. Determine the unit rate for the number of laps she can run per minute.
This will be calculated as the number of minutes used divided by the number of laps which will be:
= 25 / 10
= 2.5 minutes per lap.
b. Find the constant of proportionality for this situation.
We will use the formula y = kx
where y = 25, x = 10, k = constant of proportionality.
Therefore, y = kx
25 = 10k
k = 25/10
k = 2.5
The constant of proportionality is 2.5
Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?
Answer:
21
Step-by-step explanation:
becuase that's the answer lol
Billy Bob is filling his bathtub with water. At one minute, there are 5
gallons, at two minutes there are 8 gallons, and at 3 minutes there are
11 gallons of water in the tub.
If this pattern continues, how many gallons of water will be in the tub
at 7 minutes?
Answer:
There will be 23 gallons
Answer:
23 gallons
Step-by-step explanation:
the bathtub is filling by 3 more gallons every minute, 7-4=3, 4*3=12, 11+12=23
Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 40 feet and its width is 25 feet. Suppose wood flooring costs 11$ for each square foot. How much will the wood flooring cost for the floor?
Answer:
$11,000Step-by-step explanation:
Step one:
given data
the dimension of the gym is
length = 40ft
width= 25ft
Area= 40*25
Area= 1000ft^2
Step two:
if 1ft^2 will cost $11
then 1000ft^2 will cost x
cross multiply
x=1000*11
x=$11,000
The cost for the floor is $11,000
Marlene expects her gross income to be $54,000 this year, and she expects her required deductions to amount to $15,000. Her employer covers 90% of the cost of a $4800-per-year health insurance plan and 80% of the cost of a $900-per-year life insurance plan, with the remainder of the cost coming out of Marlene's pay, and Marlene also expects to contribute 8% of her gross income this year to her 401(k) plan. She wants to calculate how much she will receive for each of her bimonthly paychecks.
Answer:
Marlene will receive $1,417.50 for each of her bimonthly paychecks.
Step-by-step explanation:
This can be calculated using the following 3 steps:
Step 1: Calculation of annual deductions to bear by Marlene
Required deductions = $15,000
Contribution to cost of health insurance plan per-year = $4800 * 10% = $480
Contribution to cost of life insurance plan per-year = $900 * 20% = $180
Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320
Step 2: Calculation of annual paychecks
Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020
Step 3: Calculation of bimonthly paychecks
Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50
Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.
I need to find the x pls help and show work
Answer:
Start giving more points
Step-by-step explanation:
plus i needed the points
Answer:
x=143
Step-by-step explanation:
deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased? 0.41 < 0.41 less than StartFraction 3.40 over x EndFraction less than 0.50. < 0.50 0.41 < 0.41 less than StartFraction x over 3.40 EndFraction less than 0.50. < 0.50 0.41 < 3.40x < 0.50 0.41 < 3.40 + x < 0.50
Answer:
0.41 x < 3.40 < 0.50 x
If there is a whole number of pounds it could be: x = 8 pounds
0.41 * 8 = 3.28, 0.50 * 8 = 4
3.28 < 3.40 < 4
Answer:
Inequality is
0.41 x < 3.40 < 0.50 x
Step-by-step explanation:
A human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue. What decimal represents the amount of a human bone that is living tissue?
Answer:
0.3
Step-by-step explanation:
First you need to add 1/4 and 9/20, and you would get 7/10. That only leaves 3/10, which as a decimal is 0.3.
The decimal that represents the amount of a human bone that is living tissue is 0.3
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue.
First we need to add 1/4 and 9/20,
Thus we would get 7/10.
That only leaves 3/10, which as a decimal is 0.3.
The decimal that represents the amount of a human bone that is living tissue is 0.3
Learn more about multiplications;
https://brainly.com/question/14059007
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7. Simplify the expression.
3[(15 – 3)2 + 4
Answer:
84
Step-by-step explanation:
Answer:
If you meant 3 [ ( 15-3 ) 2 ] + 4, the answer should be 73.
Step-by-step explanation:
3 [ ( 15-3 ) 2 ] + 4
= 3 [ ( 12 ) 2 ] + 4
= 3 [ 24 ] + 4
= 69 + 4
= 73
A robot can complete 3 tasks in hour. Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour?
Answer:
a.20 minutes
b.3 tasks
Step-by-step explanation:
60 divided by 3 = 20
Mikey has $100 to spend on books. She wants to buy at least 14 books. Hardback books cost $15.00 and paperback books cost $7.00.
Represent the scenario as a system of inequalities.
A. x+y≤100
15x+7y≥14
B. x+y≤14
15x+7y≥100
C. x+y≥14
15x+7y≤100
D. x+y≥100
15x+7y≤14
Given the point (1, 2) and a slope of 4, write the equation in point slope form.
This article is about the math term. For other uses, see Slope (disambiguation).
For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).
Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.
The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.
A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.
If a line is horizontal the slope is zero. This is a constant function.
If a line is vertical the slope is undefined (see below).
The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.
In mathematical language, the slope m of the line is
{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.
The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function
{\displaystyle m=\tan(\theta )}m = \tan (\theta)
Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.
Omar goes to a restaurant with his family. The total cost of their food is $136. An 8% sales tax is applied to the cost of their food. His family also wants to leave an 18% tip, which is based on the pre-tax food cost. How much will the final restaurant bill be?
A, $146.88
B, $160.48
C, $171.36
D, $173.32
Answer:
C. 171.36....... :)).......
#12, what is this answer ?
Answer:
joan chris martin sara
Step-by-step explanation:
5x - (2x + 5)
170
please help.
Answer:
56.66666667??? i think
Step-by-step explanation:
Answer:
The simplified answer is -335x-850
graph and find the coordinates
Answer:
a' (4,3)
b' (2,-3)
c' (-1,0)
to graph the triangles, you plot the points an then connect them to form a triangle. you have to plot triangle ABC and then triangle A'B'C'
Step-by-step explanation:
a student concluded that the solution to the equation startroot 2x+1 endroot +3=0 is x=4 do you agree? explain why or why not.
Answer:
X=4
Step-by-step explanation:
Given the equation
√2x+1 + 3= 0
Subtract 3 from both sides
√2x+1 +3 +3 = 0-3
√2x1 = -3
Square both sides
{√2x+1)² =(-3)²
2x+1 =9
2x= 9-1
2x = 8
x = 8/2
x = 4
Hence I agree that the solution is x = 4 based on the explanation above
Divide 4 1/4 by 2.
Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices
Answer:
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
Step-by-step explanation:
Given: Two of the vertices of a rectangle are (6,1) and (7,1)
Perimeter= 18 units
To get the value of "x"
The distance between Two point can be calculated as (6-7)=-1
Then x= -1
We can get the value of "y" by using expression for perimeter,
The perimeter P= 2x+2y=18
= 2(-1)+2y= 18
-2+2y=18
2y=18+2
2y= 20
y=10
The "y" coordinate can move up or can move down
y1=( 1-10)=-9
Or
y2=( 1+10)=11
Hence, the two other points are;
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
The club sold shirts and capes to raise money for new stage equipment. The club sold each shirt for $20.00. The club made profit of $4.00 for each shirt. Sold. Part A: The drama club sold a total of $480.00 worth of shirts. How much profit did the club make from the shirt sale?
Answer:
The club made a profit of $96 from the shirt sale.
Step-by-step explanation:
First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:
480/20=24
Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:
4*24=96
According to this, the answer is that the club made a profit of $96 from the shirt sale.
If 24 = 118, what is the measure of each of the other
angles?
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.
Since, m∠2 = m∠4 = 118° [Given]
m∠2 = m∠6 = 118° [Corresponding angles]
m∠4 = m∠8 = 118° [Corresponding angles]
m∠1 + m∠2 = 180° [Linear pair of angles]
m∠1 = 180° - 118° = 62°
m∠1 = m∠5 = 62° [Corresponding angles]
m∠3 = m∠1 = 62° [Corresponding angles]
m∠7 = m∠5 = 62° [Corresponding angles]
Mazie bought a bike during a 20% off sale and saved $16. What was the original price?
Answer:
$80. Which means she spent $64 with the sale, but the original price is $80.
Step-by-step explanation:
16 is 20% of 80
Answer
The answer is $120.00
Options
What was the price of the bicycle when Mazie bought it?
$140.00
$149.80
$130.00
$120.00
Explanation
Multiply the price of the bike by the discount percentage
150 * 0.20 = 30
Subtract the number you just found from the original price
150 - 30 = 120
There is your answer
You could take a shortcut by doing the following
1 - 0.20 = 0.80
Then multiply the original value by the new percentage
150 * 0.80 = 120
Personally I like the first method because it makes more sense.
Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?
Answer:
18 per min and 0.3 per second
Step-by-step explanation:
Per minut --> 45/2.5 = 18 words per minut
Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second
Best regards
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. a. What would be the width and length of a scale drawing of Elena's bedroom?
Answer: Length = 10cm
Width = 6cm
Step-by-step explanation:
First and foremost, we should note that
1 meter = 100 cm.
Therefore,
Length = 5m = 500 cm
Breadth = 3m = 300 cm.
Since Elena wants to make a scale drawing of 1 to 50, then
Length = 500 cm / 50 = 10 cm
Breadth = 300 cm / 50 = 6 cm.
Therefore, the length of the scale drawing will be 10 cm and the width of the scale drawing will be 6cm.
Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21.
Equation:
Question 2
Solution: x=
Answer:
-1.5-21x
Step-by-step explanation:
Jenny earned 86 of a possible 138 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?
what is the simplified fractional equivalent of the terminating decimal 0.32
Answer:
8/25
Step-by-step explanation:
Brainliest pls
Answer:
8/25
Step-by-step explanation:
Sorry I didn't know what subject to put this in but Please help I really do need it u don't have to tho
Which fitness test measures the strength and flexibility of the lower back?
A.
Walk/Run test
B.
Curl ups
C.
Sit and Reach
D.
Trunk Lift
Answer:
Curl ups
Step-by-step explanation:
I'm not 100% sure, but it seems like the most logical answer to me.
Answer:
Trunk Lift
Step-by-step explanation:
Brainliest for the correct answer 20 points!!!
Answer:
y = -3/2x + 3
Step-by-step explanation:
Answer:
y= 3 - 2x
Step-by-step explanation:
I am stuck on part b
Answer: answer is 3.
Step-by-step explanation:
Mean is the sum of all the numbers divided by how many numbers are being added.
Mean = (1 + 2 + 3 + 4 + 5)/5
= 15/5
= 3
I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?
Answer:
0,6
9,8
0,9
Step-by-step explanation:
