Chris is an appliance repairman. He charges $80 to come out and $60 per hour, thereafter. a) Using h for the number of hours and C for his total cost to his customer, state an equation describing this situation.
Answer:
$80 + $60h =C
Step-by-step explanation:
$80 is the amount charged to come out
$60 times h (h is the number of hours)
add them together for total cost
The equation C = 80 + 60h describes Chris's total cost.
Independent variable: Hours of work, represented by h.
Dependent variable: Total cost, represented by C.
Equation: C = 80 + 60h
Y-intercept: $80, as it is the initial charge when no hours are worked.
Slope: $60 per hour, indicating the rate at which the cost increases per hour of work.
How much is $25/ an hour
Answer:
$50,000 per year
($1,000 per week)
A researcher wants to examine the effect of caffeine on sleep. She splits participants into two groups. The first group drinks caffeinated-coffee at 8pm and the second group drinks decaf-coffee at 8pm. The researcher records what time participants fall asleep. What is the independent variable
Answer:
Type of coffee
Step-by-step explanation:
First, that is, it is the independent variable.
It is the variable that does not depend on another value or other circumstance, it is the variable that generally would be the options to choose from and depending on what is chosen, different results are obtained.
In this case, the variable that has this behavior is the type of coffee that will be taken, whether it is caffeinated or decaffeinated coffee.
The scale on a map of Indiana is 1 inch = 42 miles. Jill measured the distance on the map from the eastern border to the western border, and it was 3.375 inches. How far is the actual distance? Round to the nearest mile. (whole number) Group of answer choices
Answer: The actual distance is 142 miles.
Step-by-step explanation:
First, you multiply the 3.375 inches by 42 miles since you are trying to scale. It equals 141.75. If you round it to the nearest mile, it equals 142 miles.
Can someone please help me ASAP
[tex]y=4-x^2\\x-y=2 \\ \\ y = 4 - {x}^{2} \\ x = 2 + y \\ \\ y = 4 - {(2 + y)}^{2} \\ {y}^{2} + 5y = 0 \\ y(y + 5) = 0 \\ y = 0 \\ y = - 5[/tex]
[tex]x = 2 + 0 = 2[/tex]
[tex]x = 2 + ( - 5) = -3[/tex]
- 3√45-√ 125 + √200-√150
Answer:
=-80-5√5
this is the answer
hope this helps
I need help on this on my bros
Step-by-step explanation:
By 30°-60°-90° triangle theorem:
[tex]15 = \frac{1}{2} \times c.. (side\:opposite \: to \:30°)\\ c = 15 \times 2 \\ \\ \huge \red{ \boxed{c = 30 \: m}} \\ \\ b = \frac{ \sqrt{3} }{2} \times c.. (side\:opposite \: to \:60°) \\ \\ b = \frac{ \sqrt{3} }{2} \times 30 \\ \\ \huge \purple{ \boxed{b = 15 \sqrt{3} \: m}}[/tex]
Which student solved the equation 107 d = 1,733.4 correctly?
Answer: Sammi's work:
107d=1,773.4
1773.4 divided by 107 = 16.2
Step-by-step explanation:
The value of d for the given expression will be d = 16.2.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Given that the expression is 107d = 1,733.4. The value of d will be calculated as:-
107d=1,773.4
To calculate the value of d the number 1773.4 is divided by 107.
107d=1,773.4
d = 1,773.4 / 107
d = 16.2
Hence, the value of d will be 16.2.
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Kerri Payne is employed by Carterer's Central company. She has a family membership in the health insurance program. The annual premium is $6,486. Payne's employers pays 80 percent of the total cost. Her contribution is deducted from her paycheck. What is Payne's annual contribution?
Final answer:
To calculate Payne's annual contribution, multiply the annual premium by 20% and subtract that amount from the annual premium.
Explanation:
To calculate Payne's annual contribution, we need to determine 20% of the total cost of the health insurance premium and then subtract that amount from the annual premium.
Step 1: Find 20% of $6,486. Multiply $6,486 by 0.2 to get $1,297.20.
Step 2: Subtract the 20% contribution from the annual premium. $6,486 - $1,297.20 = $5,188.80.
Payne's annual contribution is $5,188.80.
When will my dad come back from the store?
Wait 8 to 10 years and he might come back.
Answer:
at this point, probably never
Step-by-step explanation:
well besides that, have a great day!
A support wire is tied diagonally from the middle of a tree to a stake on the ground. The length of the wire is 10 ft and the angle of
elevation from the stake is 55". Approximately how high on the tree is the connection point of the wire?
Answer:
8.2 ft
.Step-by-step explanation:
Sketch this situation. Label the 55° angle. The adjacent side is the distance from the stake to the bottom center of the tree. The opposite side is the distance from the ground to the connection point of the wire on the tree. The wire length represents the hypotenuse of this triangle. We want to find the length of the side opposite the 55° angle. Thus, we write
sin 55° = (opposite side)/(hypotenuse), or
(hypotenuse)(sin 55°) = (10 ft)(0.819) = 8.2 ft
Using trigonometry and the sine function, we can calculate the height of the tree as 10 ft * sin(55), which equals approximately 8.19 ft.
Explanation:This problem can be solved using trigonometry, specifically the sine function. In a right triangle, the sine of an angle is defined as the length of the opposite side divided by the length of the hypotenuse. In this case, the tree forms the opposite side of our triangle, the support wire forms the hypotenuse and the angle of elevation is 55 degrees.
To express this mathematically, we can write: sin(55) = height / 10 ft. Solving this equation for height gives us: height = 10 ft * sin(55). Using a calculator, we find that sin(55) is approximately 0.81915, so the height is around 8.19 ft. Therefore, the connection point of the wire to the tree is at approximately 8.19 ft high.
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Round 4.377 to the nearest hundredth.
Answer:
Submit
Answer:
4.38
Step-by-step explanation:
Answer:
Its 4.38
Step-by-step explanation:
Its because 4.377¨s hundredth place is the 7 near the 7 so rounding a digit with a number of 5 or greater would lead to changing the hunderedth place into a bigger number.
On the school playground, the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars?
Answer:
Step-by-step explanation:
According to the question, a slide is 7 feet due west of a tire swing and 7 feet due right of the monkey bars and we were asked the calculated the distance between them.
If you look at it carefully, since the slide is due west of the tire swing and 7 feet due south of the monkey bars, you'll notice a shaped form, the shape formed is an inverted right-angled triangle.
Right-angled Triangles can be solved using pythagoras' theorem which says [tex]a^{2} + b^{2} = c^{2}[/tex].
a= 7, b=7, c=??
[tex]c^{2} = 7^{2} + 7^{2}[/tex]
[tex]c =\sqrt{98}[/tex]
c = 9.9 feet
Final answer:
The distance between the tire swing and the monkey bars is found using the Pythagorean theorem, which gives approximately 9.90 feet.
Explanation:
To find the distance between the tire swing and the monkey bars, we can model the situation using a right triangle. The slide being 7 feet due west of the tire swing and 7 feet due south of the monkey bars forms a right-angled triangle with the slide as the vertex where the right angle is, the tire swing and monkey bars forming the other two vertices.
Using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b), we can find the distance (hypotenuse) between the tire swing and the monkey bars.
In other words, we have:
a² + b² = c²
Given:
a = 7 feet (distance from slide to tire swing)
b = 7 feet (distance from slide to monkey bars)
We can calculate:
c² = 72 + 72 = 49 + 49 = 98
The distance (c) is the square root of 98, which is approximately 9.90 feet.
Therefore, the distance between the tire swing and the monkey bars is approximately 9.90 feet.
Which statement best describes the interquartile range of this set of weights?
{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb}
the difference between the first and sixth elements of the set as it is written above
the difference between the second and fifth elements of the set as it is written above
the difference between the first and sixth elements of the set after it has been ordered from least to greatest
the difference between the second and fifth elements of the set after it has been ordered from least to greatest
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
the difference between the second and fifth elements of the set after it has been ordered from least to greatest
A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. Of those who buy iPods 35% enjoy listening to country music. If N is the number of young people between 15 and 25. How many people between 15 and 25 this year will enjoy listening to country music on their iPods?
a) 14N.
b) 1.4N.
c) 0.14N.
d) 1.14N.
Answer:
The option C) 0.14N is correct ∴ 35 % are enjoy listening to Country music is 0.14NStep-by-step explanation:
Given that "A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. If N is the number of young people between 15 and 25"
To find how many people between 15 and 25 this year will enjoy listening to country music on their iPods:From the given we can write
Total people between 15 and 25 age = N
Number of people who buys iPods is 40% of N is
[tex] = \frac{40}{100}\times N[/tex]
= 0.4N
∴ Number of people who buys iPods is 40% of N is 0.4NFrom the given we have that 35 % are enjoy listening to Country music means
[tex]= \frac{35}{100}\times 0.4N[/tex]
[tex]=0.35\times 0.4N[/tex]
= 0.14N
∴ 35 % are enjoy listening to Country music is 0.14N Hence option C) 0.14N is correct.Final answer:
Calculating 35% of 40% of the young people between 15 and 25 years who will buy an iPod, the number who will enjoy listening to country music on their iPods is 0.14N, making choice (c) the correct answer.
Explanation:
To determine the number of young people between 15 and 25 years old who will enjoy listening to country music on their iPods this year, we can first calculate the number of young people who will buy an iPod. Since 40% of the group is expected to buy an iPod, this is 0.40N. Next, out of these iPod owners, 35% enjoy listening to country music. Therefore, we can find the number of iPod owners who enjoy country music by taking 35% of the 40%, which is 0.35 times 0.40N. This calculation results in 0.14N young people enjoying country music on their iPods.
This leads us to the answer choice (c) 0.14N.
NEED THIS ANSWERED ASAP.
y=–5x + 30x=10
What is the solution to the system of equations?
(–20, 10)
(10, –20)
(10, 4)
(4, 10)
The answer is B, i had to find out on my own....
Answer:
(10, -20) because y=_5x + 30x=10 and there are only 2 answers with 10 in the beginning so also 20 is greater than 40.
Step-by-step explanation:
B
Answer:
Step-by-step explanation:
It took Jerry 3 4/5 hours to get to his grandmother's house. He walked for 2/5 hour to the train station, rode on a train for 1 4/5 hours, and then took a bus. How much time did Jerry spend riding on the bus?
Jerry spent 4/5 hour riding on the bus.
First, let's find the total time Jerry spent walking and riding the train:
Walking time = 2/5 hour
Train ride time = 1 4/5 hours
To find the total time spent, add these two:
2/5 + 1 4/5 = (2/5) + (1 + 4/5) = (2/5) + (1 + 4/5) = (2/5) + (5/5 + 4/5) = (2/5) + (9/5) = (2 + 9)/5 = 11/5 hours
Now, since Jerry spent a total of 11/5 hours walking and riding the train, to find out how much time he spent on the bus, we subtract this from the total time it took him to get to his grandmother's house:
Total time = 3 4/5 hours
Bus ride time = Total time - (Walking time + Train ride time)
= 3 4/5 - 11/5
= (15/5) - (11/5)
= 4/5 hours
Assignment
eo
equation.
Solve x2 - 64 = 0.
1. Isolate x2: x2 = 64
V x2 = 1764
Apply the square root property of equality:
3. Isolate the variable:
7
x=
x=
Answer:
x= 8, x= -8
Step-by-step explanation: 8 and -8
The maximum value of y in the equation y = -x2 + 6x – 8 is y=
Answer:
1
Step-by-step explanation:
A graph shows you very quickly that the maximum value of y is 1.
__
There are several ways to get there algebraically. The axis of symmetry is given for ax^2 +bx by x=-b/(2a). Here, that value is x=(-6)/(2(-1)) = 3. The maximum y-value will correspond to this x-value:
y = -3² +6·3 -8 = -9 +18 -8 = 1
The maximum value of y is 1.
__
The axis of symmetry can also be found by factoring:
y = -(x -4)(x -2)
It is halfway between the values of x that make these factors zero, so is ...
x=(4+2)/2 = 3
For that value of x, we find y to be ...
y = -(3 -4)(3 -2) = 1
__
We can also rearrange the equation to vertex form:
y = -(x^2 -6x) -8
= -(x^2 -6x +9) -8 -(-9)
= -(x -3)^2 +1
The vertex is (3, 1), so the maximum value of y is 1.
You drop a ball from a stair case that is 36 ft high. By the time you get down the stairs to measure the height of the bounce, the ball has bounced four times and has a height of 2.25 ft after its fourth bounce. How high did the ball bounce after it first hit the floor?
Answer:
18 feet
Step-by-step explanation:
After each bounce, the ball reaches only a percentage of the maximum height it reached before.
The first height is 36 feet, after the first bounce, it will be 36*r, where r is the ratio of the height the ball can still reach by the previous maximum height.
In the second bounce, the height is 36*r^2
In the third bounce, the height is 36*r^3
In the fourth bounce, the height is 36*r^4, and this value is 2.25 ft, so:
36*r^4 = 2.25
r^4 = 2.25/36
r^4 = 0.0625
r = 0.5
So, after the first bounce, the height is:
36*r = 36*0.5 = 18 feet
The height should be 18 feet.
Given that,
You drop a ball from a stair case that is 36 ft high. By the time you get down the stairs to measure the height of the bounce, the ball has bounced four times and has a height of 2.25 ft after its fourth bounce.Based on the above information, the calculation is as follows:
The first height is 36 feet.
Now after the first bounce, it will be 36r
Here r is the ratio of the height
In the second bounce, the height is [tex]36\times r^2[/tex]
In the third bounce, the height is [tex]36\times r^3[/tex]
In the fourth bounce, the height is [tex]36\times r^4[/tex], and this value is 2.25 ft, so:
Now
[tex]36\times r^4 = 2.25\\\\r^4 = 2.25\div 36\\\\r^4 = 0.0625[/tex]
r = 0.5
Now
So, after the first bounce, the height is:
= 36r
= 36(0.5)
= 18 feet
Therefore we can conclude that The height should be 18 feet.
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A student earned grades of Upper Aâ, Upper Câ, Upper Aâ, Upper Câ, and Upper D. Those courses had the corresponding numbers of credit hours 3â, 4â, 3â, 2â, and 4. The grading system assigns quality points to letter grades asâ follows: Aequalsâ4; Bequalsâ3; Cequalsâ2; Dequalsâ1; Fequals0. Compute the grade point averageâ (GPA) as a weighted mean and round the result with two decimal places. If theâ Dean's list requires a GPA of 3.00 orâ greater, did this student make theâ Dean's list?
Answer:
G.P.A.=2.5
The Student did not make the Dean's List
Step-by-step explanation:
The Students Grade and Subject Weight are listed below.
[TeX]\left|\begin{array}{c|c|c|c}------&-------&------&------\\ Grade&Credit Hour& Grade Weight & Product \\------&-------&------&------\\ A & 3 & 4 & 12 \\ C & 4 & 2 & 8\\A & 3 & 4 & 12\\C & 2 & 2 & 4\\D & 4 & 1 & 4\\------&-------&------&------\\Total& &16 &40 \end{array} \right| [/TeX]
Grade Point Average=Total Credit Hour÷Total Number of Hours
=40÷16
G.P.A.=2.5
Since the Dean's list requires a GPA of 3.0 or greater, the student does not make the Dean's list.
Which of the following statements about a variable are true?
A variable cannot be subtracted.
A variable is represented by a letter.
A variable represents a quantity.
A variable cannot be multiplied.
Answer:
option b and c are true ...
What is the surface area of the cube shown?
6.5 lenth 6.5 hieght
Answer:
253.5
Step-by-step explanation:
basically i had the same question so yeah! and im a pro at math
Answer:
Yup, It's 253.5 :)
Step-by-step explanation:
I checked it. It was right ^^
Noah jumped rope for 9 minutes. What percentage of Diego’s time is that? Diego's time is 20.
Answer:
45%
Step-by-step explanation:
Diego's time is 20 and a whole is 100% so multiply 9 by 5 because 20 x 5 is 100 9x5=45. This means Noah's time is 45% of Diego's time
Answer:
45% or 45 percent
Step-by-step explanation:
Yes oof
Use the distributive property to evaluate each expression (5-7)(-30
Answer:
60
Step-by-step explanation:
You first have to do the parenthesis
(5-7)= 5-7= -2
Then just multiply -30 by -2
Since negative x negative = positive, the answer will be positive.
(-2)(-30)= -2 x -30= 60
60
can 5ft 9ft 14ft make a triangle?
Answer:
Any dimensions can make a triangle, however
this does not make a right angled triangle.
Step-by-step explanation:
Determine the length of the hypotenuse of a right angle triangle with side lengths 5ft and 9ft by using the formula:
[tex]a^2+b^2=c^2\\[/tex]
[tex]\sqrt{a^2+b^2} = c[/tex]
[tex]c=10.29[/tex]
This is not equal to 14ft.
Answer: No, those measurements cannot make a triangle
Why not? Because of the fact that the first two sides (5 and 9) add to 5+9 = 14, which is exactly as long as the third side. I recommend you using a ruler to measure out 5 inches, 9 inches and 14 inches. Mark all three as separate segments on a piece of paper. Then cut out those segments to form strips of paper with the given lengths. Then try to form a triangle. You'll find that it is impossible since the smaller segments combine perfectly to get the longest segment. Instead of a triangle, you'll only have a line segment forming.
As a rule, when you add any two sides of a triangle, they must add to something larger than the third side. The rule more formally is
For any triangle with sides a,b,c, the following three inequalities must hold true
a+b > ca+c > bb+c > aAlyssa has 48 muffins which he need to box up in dozens how many boxes does she need
Answer:
4 boxes
48/12 = 4
Step-by-step explanation:
IF THIS ANSWER HELPS YOU, PLEASE MARK IT AS BRAINLIEST!
Answer:
4 boxes
Step-by-step explanation:
This problem is fairly simple all you need to do is divide 48 by 12 and you should get 4. If that is too hard than you can see what 12 multiplyes by to get 48.
Hope that Helped :)
A local newspaper said that the city of Luttrell is expected to grow by 10% each year. The population in 2012 is 130,457 people. Let t represent the number of years after 2012. Which equation could be used to determine the total expected population, P, of Luttrell in t years?
The formula to calculate the expected population of Luttrell in t years, with a 10% annual growth rate, is P = 130,457 × (1 + 0.10)^t.
Explanation:To determine the total expected population, P, of Luttrell in t years, given an annual growth rate of 10%, you would use the formula for exponential growth: P = P0 × (1 + r)t, where P0 is the initial population, r is the growth rate (expressed as a decimal), and t is the number of years after the initial time. In this case, since the population in 2012 (which is our initial time) is 130,457, and the growth rate is 10% or 0.10, the equation becomes P = 130,457 × (1 + 0.10)t. This equation will calculate the expected population after t years.
Final answer:
The equation to determine the total expected population of Luttrell in t years is P = [tex]130,457 × (1 + 0.10)^t,[/tex] where P is the population and t represents the number of years after 2012.
Explanation:
To determine the total expected population, P, of Luttrell in t years, given that it is expected to grow by 10% each year, you can use an exponential growth formula. The formula incorporating this percentage growth rate and starting population in 2012 is:
P = 130,457 × (1 + 0.10)^t
Here, 130,457 is the initial population in the year 2012, 1 + 0.10 represents the growth factor (where 0.10 is the 10% growth converted to a decimal), and t is the number of years after 2012.
For example, to find the population after 1 year (t = 1), you would calculate:
P =[tex]130,457 × (1 + 0.10)^1 = 130,457 × 1.10 = 143,502.7,[/tex] which you would round to the nearest whole person.
Lucy and Katy are registering for a sports league for next year. There are 2 sports (volleyball and basketball) and 3 seasons (fall, winter, and spring) to choose from. They each created a display to represent the sample space of randomly picking a sport and a season. Whose display correctly represents the sample space?
Answer:
The sample space is: AV, WV, SV, AB, WB, and SB
Step-by-step explanation:
The sample space has all the possibilities in which Lucy and Katy can register for a sports league. Now, they have 2 sports and 3 seasons.
So, let's call V that they register in volleyball and B that they register in basketball. Additionally, let's call A that they register for fall, W that they register for winter, S that they register for spring.
It means that the sample space is:
AV, WV, SV, AB, WB, and SB
where, for example, AV is the possibility to be registered in fall and in volleyball.
Therefore, the display that correctly represents the sample space is the one that has all these possibilities.
In order to answer the question correctly, please use the following image below:
Use the diagram below to find the measure of LM. (The symbol is in the image below)
What is the degree measurement of LM?(The symbol is in the image below)
Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)
Answer:
The value of ∠LPM is 60°
Step-by-step explanation:
It is given that a straight line is 180° and line LN is a straight line. So in order to find angle LM, you have to substract angle MN from 180° :
∠LPN = 180°
∠MPN = 120°
∠LPM + ∠MPN = 180°
∠LPM = 180° - ∠MPN
= 180° - 120°
= 60°
Answer:
60°
Step-by-step explanation:
LPN is a diameter (straight line passing through the centre)
X + 120 = 180
X = 60°