By taking the quotient between the total amount she earned and the total number of minutes, we can conclude that she earns $0.75 per minute.
How much did Ana earn per minute?Here we know that Ana earns $168.75 in a jump rope-a-thon, Below there is a table with the number of minutes she jumped on each day, which I found after a small search online.
day minutes
1 25
2 35
3 34
4 19
5 22
6 45
7 26
8 19
The total number of minutes that she jumped is the sum of the values in the table:
T = 25 + 35 + 34 + 19 + 22 + 45 + 26 + 19 = 225 minutes.
The amount that she wins per minute is the quotient between the total amount she earned and the total number of minutes:
E = $168.75/225 min = $0.75 per min.
She wins $0.75 for each minute jumping the rope.
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Dave drives 55 miles per hour on the freeway when he goes to work. Which equation modes the relationship between the time Dave drives, x, and the distance he drives, y?
y = 55x
y = -55x
y = -1/55 x
y = 1/55 x
Using the concept of proportionality to find the linear function, we can model it as y = 1/55 x
What is Linear FunctionA mathematical function known as a linear function, when plotted, describes a straight line. It has the mathematical formula f(x) = mx + c, where m denotes the line's slope and c its y-intercept.
In this problem, we can represent the relationship between the number of miles Dave drives and the time he uses to cover that distance.
Since the number of miles he drove is given as y and the time he takes as x, we can represent this in a proportional relationship such that the proportionality constant will be used.
y = kx
k = constant of proportionality55 miles = 1 hour
1 mile = x
x = 1 /55
This can be used as
y = 1/55 x
Where x is the time it takes to cover that distance
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Determine the sales of ice cream when the temperature is 20 degrees.
At 0 degree celsius of temperature, Sales will be $-159.474 which is meaningless to interpret.
what is slope ?The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b. The line's slope is represented by the m. A straight line's slope is a measure of how steep it is. The gradient is another name for it. The slope equations. The ratio of a line's "change in y" to its "change in x" is known as the slope. You can get the slope of a line by dividing the distance between two points (x1,y1) and (x2,y2) by the distance between the two locations.
From the given information,
By using calculator,
A. Putting Temperature=20 in the given regression equation,
Predicted sales= 442.284
B. Slope=$ 30.0879
If temperature increases by 1 degree celsius then Sales increases by $30.0879, on average.
C. y-intercept= -159.474
At 0 degree celsius of temperature, Sales will be $-159.474 which is meaningless to interpret.
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Three pizzas are being split amongst friends. Everyone will get 1/4 of a pizza. How many friends can eat pizza?
Answer:
12 friends can eat pizza
Step-by-step explanation:
if there are 4 slices in each pizza and there are 3 pizzas and 1 slice per person then 12 people will get 1 slice
4x3=12
Which of the following is an equivalent form of the function f above in which the mininum value of f
appears as a constant or coefficient?
A) f(x) = x2-24
B) f(x) = x2+2x-24
C) f(x) = (x-1)2 -24
D) f(x) = (x-1)2 -25
Based on the function, an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient is f(x) = (x+1)^2 -25. (Option D)
The function is f(x) = (x + 6)(x – 4). Solving the function
f(x) = (x + 6)(x – 4)
= x (x – 4) + 6(x – 4)
= x^2 – 4x + 6x – 24
= x^2 + 2x – 24
= x^2 + 2x + 1– 25
= (x + 1)^2 – 25
When x = -1, the value of f(x) = (-1 + 1)^2 – 25 = -25
Hence, the equation for which the minimum value of f appears as a constant or coefficient is (x + 1)^2 – 25.
Note: The question is incomplete. The complete question probably is f(x) = (x + 6)(x – 4). Which of the following is an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient? A) f(x) = x^2-24 B) f(x) = x^2+2x-24 C) f(x) = (x-1)^2 -21 D) f(x) = (x+1)^2 -25
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45of the members of the basketball team are 6 feet or taller. 18of those members are 614feet or taller. What part of the basketball team is 614feet or taller?
The fraction of the basketball team that are 6.14 feet is 2/5 of the 45 members
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
The number of members that are six feet tall or taller is 45
The number of members that 6.14 feet tall or taller is 18.
From the member of 6 feet tall or taller, the fraction of member that are 6.14 feet tall or taller is 18/45 = 6/15 = 2/5.
therefore 2/5 of the 6 ft tall or taller members are 6.14 feet tall or taller.
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If 8^y = 16^y+2, what is the value of y?
0 -8
0 -4
0 -2
O −1
Solving exponential Equations:
1. express both sides in terms of the same base
[tex](2^3)^y=(2^4)^y^+^2[/tex]
[tex]2^3^y=2^4^y^+^8[/tex]
2. Once they are the same base, equate the exponents
[tex]3y=4y+8[/tex]
3. isolate for a variable to solve
using inverse operations[tex]3y-3y=4y-3y+8[/tex]
[tex]0-8=y+8-8[/tex]
[tex]-8=y[/tex]
The first option where y = - 8 is correct.
I’ll give brainiest need a answer asap
Use the given information to find
m∠A.
m∠D=121°
m∠A= (2x)°
m∠B=(x+40)°
M
Answer:
m∠A = 38/3
Step-by-step explanation:
Sum of 3 angles of a triangle = 180°
m∠D + m∠A + m∠B = 180°
Substituting values given for each angle
121 + 2x + (x + 40) = 180
121 + 3x + 40 = 180
3x + 161 = 180
3x = 180-161 = 19
x = 19/3
m∠A = 2x = 38/3
Bode's litttle brother, Decker, can pick up objects that are 1/5 of the weight of the objects that Bode can pick up. Complete the table representing the weight of the objects Decker can pick up.
The complete table showing the weight of Decker's object in pounds is;
Weight of Bode's object Weight of Decker's object
20 5
30 6
60 12
How to solve fraction problems?We are told that Decker, can pick up objects that are 1/5 of the weight of the objects that Bode can pick up.
Thus;
If weight of Bode's object in pounds is 20 pounds, then the weight of Decker's object in pounds = 1/5 * 20 = 5 pounds
Similarly;
If weight of Bode's object in pounds is 30 pounds, then the weight of Decker's object in pounds = 1/5 * 30 = 6 pounds
Likewise;
If weight of Bode's object in pounds is 60 pounds, then the weight of Decker's object in pounds = 1/5 * 60 = 12 pounds
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Please Help answer all questions please. 1. Determine if 35:25 and 28:20 are proportional. Follow the steps below.
a. Rewrite the ratio 35:25 in simplest form.
b. Rewrite the ratio 28:20 in simplest form.
c. Are the ratios equivalent? Explain.
d. Are the ratios proportional? Justify your answers
35:20 and 28:20 are equivalent and proportional.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
In this case, 35:25 will be:
= 35 / 25
= 7 / 5
= 7:5
28:20 will be:
= 28 / 20
= 7/5
= 7:5
Therefore, they are equivalent and proportional.
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How do you solve this?
The solution to the arithmetic progression is A = 94,188
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the sum of the arithmetic sequence be represented as A
Now , the value of A is
Let the zeroth term of the series be a₀
when i = 0
∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312
a₀ = -312
Let the first term of the series be a₁
when i = 1
∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312
a₁ = 310
So , the common difference d of the series = first term - zeroth term = 2
The value of d = 2
The number of terms n = 500
Sum of n terms of the arithmetic sequence is
Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Substituting the values in the equation , we get
A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]
On simplifying the equation , we get
A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]
A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]
A = -312 + ( 250 ) [ 378 ]
A = -312 + 94,500
A = 94,188
Hence , the sum of the arithmetic sequence is 94,188
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Abby Baked 124 cookies. While they were cooling she stepped outside. She saw a group of children run into the kitchen and run back with cookies in his hands. When she returned to the kitchen she found only 7 cookies left on the cooling racks. If each child took the same number of cookies and the number of children who took cookies was more than 10 and fewer than 30, how many were in the group?
The number of children in the group based on the information is 13.
How to calculate the number?Total number of cookies Abby baked = 124
Number of cookies remaining after children left the kitchen = 7
Number of cookies taken by the group of children = 124 - 7 = 117
Given that 117 cookies were equally shared by the children.
Let the number of children be x.
Number of children was more than 10 and less than 30
10 < x < 30
x will always be an integer.
Let a number of cookies each child took be c.
The prime factorization of 117 is 3*3*13.
As 117 = x * c
117, when written as the product of 2 numbers, that is x*c form, will be as given below:
1*117, 3*39, 9*13, 13*9, 39*3, 117*1
Given that 10 < x < 30. Therefore, we can only take 13 * 9 as the required x * c form.
x = 13 and c = 9
Number of children in the group is 13.
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pls solveee (correct answers only and explaintion)
Answer:-1/4
Step-by-step explanation:First you know it’s negative because it’s going down from left or right. Second it’s 1/4 because when counting the lines it goes down 1 and to the right 4. So it’s -1/4
Question 9 (1 point)
What is the cost of leaving on your 150 watt LCD TV while you go for
a 45 minute walk outside (at a cost of 16 cents per kilowatt hour)?
1.8 cents
21 cènts
542 cents
57-cent
HELP PLEASE GIVING BRIANLESS
Black and very dark greys are difficult for LCDs to produce. They consequently typically have lower contrast than CRTs and have less colour saturation for low intensity hues.
How many watts does a LCD TV use per hour?The majority of TVs on the market range in wattage from 80 to 400. This figure is determined by the TV's size (32 inches, 44 inches, 56 inches, etc.) and kind (CRT, LCD, LED, QLED, Plasma and so on).Multiply the appliance's power rating (watts) by the number of hours it is used for, then divide the result by 1000 to get the kWh for that particular item.No, flat-screen TVs normally do not consume a lot of electricity. Compared to other appliances and devices, they only use a modest amount of energy. Your heating and cooling systems consume a vastly greater amount of electricity than your television. In low-light and dark settings, not recommended for use.To learn more about typically refer to:
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On his first three tests, Luis had a score of 75,96, and 93. What must he score on the fourth test to have an average score of exactly 90 for all four test
Luis must score 96 the fourth test to have an average score of exactly 90 for all four test.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that Luis had a score of 75,96, and 93.
We have to find the fourth test to have an average score of exactly 90 for all four test
Let the score of fourth test be x.
75+96+93+x/4=90
264+x=360
Subtract 264 on both sides
x=360-264
x=96
Hence, he must score 96 the fourth test to have an average score of exactly 90 for all four test.
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Please help with worksheet !!!
Answer:ok sorry if this don't help pls come find me
Step-by-step explanation: In many companies, especially small and medium, where there is a strive to establish any work process, it has been observed that testers are a little puzzled about how to start, progress and finish their testing job in a hurried manner.
The project or test manager always pressurize the test team to complete testing as soon as possible. With this pressure, somebody starts with a great methodical way but cannot complete the testing; somebody tries to be fast by short-cutting it, but cannot achieve quality. So, there is a problem in daily practice.
PLEASE HELP ME!!!!!!
Answer:
Step-by-step explanation:
Gallons, 1, 2
Quarts, 4, 8
Pints, 8, 16
Cups, 16, 32
Fluid ounces, 128, 256
Dude, it's conversation rates, you could have just looked up gallons to quarts etc.
DUE SOON!!! PLEASE HELP!!
Need help with, both questions 3 and 4, been stuck on these for sometime now, and highly confused.
please explain and show how you came about the answers so I can know for next time.
Many thanks!!
questions are pictured below!
When they worked together, they finished the car in 12 minutes, but it took the second person 28 minutes to do it.
what is unitary method ?The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply put, the unit technique is used to extract a single unit value from a multiple that is supplied. This procedure could follow a regular procedure. a single nation. anything has a distinct identity.
given
A standard shared labor equation can be employed because time varies inversely with the number of persons (i.e., the more people, the less time).
Let the finished task equal 1 and let a = the amount of time needed by the other person alone.
Each person will contribute a portion of the work, and the two fractions together equal one.
When the denominators are removed by multiplying through by 21a,
the answer is 12a + 21(12) = 21a 252
= 21a - 12a 252 = 9a a = 252/9 a
When they worked together, they finished the car in 12 minutes, but it took the second person 28 minutes to do it.
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select the solution of the inequality y>-3x+2
The shaded region shows the possible set of solutions.
What is inequality? Differentiate between equation and expression?inequality : An inequality is used to make unequal comparisons between two expressions or numbers.
expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
equation : A mathematical equation is used to equate two expressions.
Given is the inequality as -
y > -3x + 2
The inequality is -
y > -3x + 2
Refer to the graph attached. It shows the possible set of solutions under the shaded region.
Therefore, the shaded region shows the possible set of solutions.
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Karima made `9` pairs of earrings in `6` hours. How long will it take Karima to make `12` pairs of earrings?
Answer:
8 hours
Step-by-step explanation:
9 pair of earrings in 6 hours
=> 9 : 6 = 1,5 pair of earrings in 1 hour
12 : 1,5 = 8 hours
Karima can make 12 pair of earrings in 8 hours.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, Karima made 9 pairs of earrings in 6 hours.
Let the number of hours it took to make 12 pair of earrings be x.
Now, the proportion is
9/6 =12/x
9x=72
x=8
Therefore, Karima can make 12 pair of earrings in 8 hours.
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What is the slope of the line represented by the equation y=1/2x+1/4
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
If the equation of a line is [tex]y=mx+b[/tex], the slope is [tex]m[/tex] and the [tex]y[/tex]-intercept is [tex]b[/tex].
Solve the inequality for x.
4 − 4x < 16
x < −3
x > −3
x > 3
x < 3
Answer:
x > -3
Step-by-step explanation:
4 - 4x < 16
- 4x < 16 - 4
- 4x < 12 (note that both can be divided by -4)
x > -3
That's the final answer.
AND if you're co fused about why the sign changed, you should always remember this
• ALWAYS change the inequality sign when you divide (÷) or multiply (×) by a negative numberBy negative num I mean any number that starts with a minus for example -2, -3, -5, -100
y = x²
y - 6x + 5 = 0
The values of the x are, x = 5, x = 1.
What is solving an equation?
The fundamental guidelines and procedures to simplify any algebraic expression are as follows:
By multiplying factors, remove any grouping symbols like brackets and parentheses.
If the terms contain exponents, use the exponent rule to eliminate grouping.
Add or subtract like terms to combine them.
Add the constants together.
Consider, the given equation
y = x² ..(1)
y - 6x + 5 = 0 ..(2)
Replace y = x² in second equation.
x² - 6x + 5 = 0
x² - 5x - x + 5 = 0
x(x - 5) - 1(x - 5) = 0
(x - 5)(x - 1) = 0
⇒ (x - 5) = 0, (x - 1) = 0
x = 5, x = 1
Hence, the values of the x are, x = 5, x = 1.
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Simplify one over x raised to the negative eighth power.
A: negative one over x raised to the eighth power
B: one over x raised to the eighth power
C: x−8
D: x8
Answer:
The answer is C x-8
Step-by-step explanation:
one x is just x raised to the negative 8 is -8 so it is x -8
change the mixed fraction 6 5/8 to a percent
It can change be 6 5/8 as a percentage is 662.5%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To change a mixed fraction to a percent, you first need to convert the fractional part (in this case, 5/8) to a decimal. To do this, divide the numerator (5) by the denominator (8). In this case, 5/8 simplifies to 0.625.
Next, add the whole number (6) to the decimal from step 1 (0.625) to get 6.625.
Finally, multiply this sum by 100 and add the percent sign %, so 6.625 * 100 = 662.5%
So, 6 5/8 as a percent is 662.5%.
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Rewrite the following equation in slope-intercept form.
y + 9 = 1/6 (x+6)
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = -2/3x - 18
Step-by-step explanation:
The equation can be rewritten in slope-intercept form by subtracting 9 from each side (to isolate y) and then multiplying both sides by 6/1 to clear the fraction. This gives us: y = -2/3x - 18, which is written in simplest form, using integers, proper fractions, and improper fractions. Hope this helps!
Option # 2
Predicting when Old Faithful will spurt next can be done by timing the previous eruption.
If an eruption lasts t minutes, the next eruption will occur in approximately 12.5t + 33 minutes.
If a 4-minute eruption begins at 11:32 a.m., at what time would you expect the next eruption to occur? HINT: Think about what time the eruption that begins at 11:32 would end.
Make sure you include your work to demonstrate how you found your answer!
Predicting when Old Faithful will spurt next can be done by timing the previous eruption. the next eruption is expected to occur at 12:59. p.m
What is an eruption?Generally, The eruption that begins at 11:32 a.m. will end at 11:36 a.m.
So, the next eruption will occur approximately 12.5t + 33 minutes after 11:36 a.m., which is 12.5 * 4 + 33 minutes after 11:36 a.m., or 83 minutes after 11:36 a.m.
Therefore, the next eruption is expected to occur at 12:59. p.m. (11:36 a.m. + 57 minutes).
To calculate this, you would first add the minutes (83) to the number of minutes in the starting time (36). This sum, 119, is greater than 60, so you need to carry over 1 hour from the minutes to the hours.
This leaves 19 minutes, which is less than 60, so the result is 12:19. However, you also need to add 1 hour to the starting time to account for the carried over hour, giving you a final result of 12:59.
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Need help with solving this problem please
Answer:
8.9
Step-by-step explanation:
Upper triangle:
hypotenuse = √(2² + 4²) = √20
Lower triangle:
Upper leg = √20
(√20)² + x² = 10²
x² = 80
x = √80 = 4√5
x ≈ 8.9
highway, he drives at a speed of 55/miles per hour. What is Reggie's
Reggie drives/10.5 miles from the airport to the highway. Once on the
total distance from the airport h hours after reaching the highway?
1. Complete the bar diagram.
Distance F
traveled to
highway
Total distance
55 miles per hour
Hourly distance on highway
2. Write an expression that represents the distance that Reggie travels
on the highway in h hours.
3. Write an expression that represents Reggie's total distance from the
airport h hours after reaching the highway.
An expression that represents the distance that Reggie travels on the highway in h hours is Distance, D = 55h
An expression that represents Reggie's total distance from the
airport h hours after reaching the highway is Distance, D = 10 + 55h.
What is distance?A distance is defined as an object's total movement without regard for direction. Distance is also defined as the amount of ground travelled by an object from its starting point to its final destination.
A distance can also be thought of as a scalar quantity, which means that the distance travelled by an object is independent of its motion direction. It is the entire path taken by an object. To calculate distance, we can use the formula below:
Distance[d] = Time[t] x Speed[s]
Displacement simply refers to a change in the position of a specific object. When an object moves from point A to point B, displacement occurs. Displacement is a vector quantity with both magnitude and direction.
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Damian earns $14.00 per hour at his job. He also receives a bonus of $30 each week for providing excellent customer service. His paycheck for one week was $240.
Which equation represents this paycheck based on the number of hours worked, h?
- 30h+14=240
- 30(h+14)=240
- 14h+30=240
- 14(h+30)=240
Answer: C 14h + 30 = 240
Step-by-step explanation:
He gets paid 14 dollars an hour at his job, but we do not know how many hours he has worked this week, so we use the variable, h. He also gets a bonus of 30 dollars each week. SO the equation should be 14h + 30= 240. You can also solve for h using this information: First subtract 30 from 240= 210, and then divide that by 14 and you get h= 15
can anyone help me to solve this question?
The numeric value of the expression in this problem is given as follows:
44.2.
How to obtain the numeric value of the expression?The expression for this problem is defined as follows:
[tex]\pi \left(\frac{1}{\sqrt{2} - 1}\right)^2(\sqrt{2}+1)[/tex]
The first step is applying the square, which has higher precedence over multiplication.
For the square of a fraction, the square is applied to both the numerator and the denominator, and then the numerator is divided by the denominator, as follows:
[tex]\left(\frac{1}{\sqrt{2} - 1}\right)^2 = \frac{1^2}{(\sqrt{2}-1)^2} = \frac{1}{0.1716} = 5.83[/tex]
Then we have a multiplication of three terms, and the associative property states that the order of the factors do not change the product, hence:
π x 5.83 x (square root(2) + 1) = 44.2.
Which is the numeric value for the expression presented in this problem.
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