The number of miles in a day at which the rental costs for Company A and Company B are the same will be 10 miles.
How to calculate the value?Let the number of miles be represented by x.
Therefore the equation for the first company will be 90 + 0.4m
The equation for the second company will be 60 + 0.7m
Therefore, we will equate them. This will be:
90 + 0.4m = 60 + 0.7m
Collect like terms
90 - 60 = 0.7m - 0.4m
0.3m = 30
m = 30/0.3
m = 10
The number of miles will be 10 miles.
Learn more about equations on:
brainly.com/question/4291546
#SPJ1
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kwh), x, used.
the function b(x)
The bill for a person who uses 560 kWh in a month is $74. Therefore, option D is the correct answer.
The given functions are
b(x) = 0.15x; x ≤ 360
b(x) = 0.10(x - 360) + 54; x > 360
What is the function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h.
For a person who uses 560 kWh, it means that:
x > 360
So, we use the following function to determine the bill
b(x) = 0.10(x - 360) + 54
Substitute 560 for x
b(560) = 0.10(560 - 360) + 54
⇒b(560) = 74
Hence, the bill for a person who uses 560 kWh in a month is $74. Therefore, option D is the correct answer.
Read more about the functions at:
brainly.com/question/18859540
#SPJ4
Your question is incomplete, probably the complete question/missing part is:
A power company calculates a person's monthly bill from the number of kilowatt-hours ( Nh), x, used. The function b(x)= 0.15x, and x≤360. 0.10(x-360)+54, and x>360 determines the bill. How much is the bill for a person who uses 560 kWh in a month? A. $84 B. $54. $64 D. $74.
The ages of three friends are represented by three consecutive odd integers. If the youngest of
the three is represented by m, express the sum of the ages of the three friends.
Solving the Question
We're given:
m is the smallest age.This means that the consecutive odd integers will be m + 2 and m + 4.
If we add all their ages, it will look like this:
[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]
Answer[tex]3m+6[/tex]
PLEASE HELP ASAP!!!!!!!!!
Use PEMDAS to solve the following problem: 60* 10-8* (3* 2) What is left after completing the first step of PEMDAS
Answer:60*10-8*6
Step-by-step explanation: after you complete the first step which is perenthesis you are left with 60*10-8*6
The first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.
How to determine the first step?The equation is given as:
60* 10-8* (3* 2)
Using PEMDAS, the first step is to open the brackets by multiplication So, we have:
60* 10-8* (3* 2)
60* 10-8*6
Then multiply the rest and subtract.
600- 48 = 552
Hence, the first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.
Read more about expressions at:
brainly.com/question/723406
#SPJ2
a car dealer claims that buying a new car sam will pay 20% less for gas than for the car he currently owns. the car sam currently drives cost 15% less to gas than dons car. don pays 800$ per year for gas car. assume all cars will be traveling the same distance. how much does he pay for his current car?
Help pls and pls give explanation!
Sam pays 680$ per year for his current car and will pay 544$ per year if he buys the new car as per dealer's claim.
According to the question statement, A car dealer claims that buying a new car Sam will have to pay 20% less for gas than for the car he currently owns. The car Sam currently drives costs 15% less to gas than Don's car. Don pays 800$ per year for gas car. It is assumed that all cars will be travelling the same distance.
We are supposed to find out how much will Sam pay for his current car.
To solve this question, we need to know about the concept of percentage of any number.
Don currently pays 800$ per year on gas.
Sam pays 15% less than what Don pays, Therefore the money Sam is paying currently will be 800$ minus 15% of 800$ i.e.,
= [tex]800 - \frac{15}{100} *800[/tex]
= [tex]800-120[/tex]
= [tex]680[/tex]$
680$ per year is the money Sam is spending currently.
If he buys the new car, according to the claim of dealer, he will pay 20% less than what he is paying currently i.e., 680$ - 20% of 680$
= [tex]680-\frac{20}{100} *680\\[/tex]
= [tex]680 - 136[/tex]
= [tex]544[/tex]$
Therefore, Sam pays 680$ per year on gas on his current car but if he buys the new car he will pay 544$ per year on gas.
Percentage: In math, a percentage is a number or ratio that can be expressed as a fraction of 100 i.e., if we are supposed to find 20% of 80 then [tex]\frac{20}{100} *80=16[/tex]If you wish to learn more about percentage, click the link given below:
https://brainly.com/question/15232600
#SPJ9
guys please help me i need your help nonsense report with solution please
Answer:
2.1/5
3.7/5
4.7/20
Step-by-step explanation:
2.1/5
3.7/5
4.7/20
Greetings from Brasil...
A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators
B - fraction addition/subtraction with different denominators = we have to use LCM
2)
(10/15) - (7/15) - case A
(10 - 7)/15 = 3/15
3)
(8/10) + (3/5) - we can simplify the first fraction
(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5
4)
(3/4) - (2/5) - case B
LCM 4 and 5 = 20
(3/4) - (2/5) = 7/20
Help me please, I don’t understand
The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]
Equilateral triangle:
An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal 60 degrees angles.
Given:
the perpendicular of the triangle = 5
Let the side of the equilateral triangle = a
Solution :
Now all the side of the triangle is is equal, so that a=x
The base of an equilateral triangle is divided into 2 equal parts, due to the perpendicular.
Now by Pythagoras equation :
[tex]p^{2} +b^{2} =h^{2}[/tex]
[tex]5^{2} +(\frac{x}{2} )^{2} =x^{2}[/tex]
[tex]25=x^{2} -\frac{x^{2} }{4}[/tex]
[tex]25 (4)=4x^{2} -x^{2} \\100=3x^{2}[/tex]
[tex]\frac{100}{3}=x^{2} \\\\\sqrt \frac{100}{3} } =x[/tex]
[tex]\frac{10}{\sqrt{3} } =x[/tex]
Simple radical form with rational denominator :
Radical form: An expression that uses a root, such as a square root, or cube root is known as a radical notation, Therefore, [tex]3^{\frac{3}{2} }[/tex] in radical form is = √27.
Convert [tex]\frac{10}{\sqrt{3} }[/tex] into radical form with rational denominator:
[tex]\frac{10}{\sqrt{3} } =\frac{10}{\sqrt{3} } .\frac{\sqrt{3} }{\sqrt{3} } \\[/tex]
[tex]\frac{10\sqrt{3} }{3}[/tex]
The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]
For More details: brainly.com/question/2456591
#SPJ9
which of the following expressions has a coefficient of 10 and a constact of 5
Answer:
2
Step-by-step explanation:
8 children have to share two thirds of a watermelon equally what part of the whole watermelon would each child get
Each child would get 1/12 th part of the whole watermelon.
For given question,
8 children have to share two thirds of a watermelon equally .
This means we need to equally distribute 2/3 of whole watermelon to 8 children.
To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.
(2/3) ÷ 8
= [tex]\frac{(\frac{2}{3} )}{8}[/tex]
We know that in 8 = 8/1
So, we rewrite the denominator of above fraction as,
[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]
This means, each child will get 1/12 part of the whole watermelon.
Therefore, each child would get 1/12 part of the whole watermelon.
Learn more about the fraction here:
https://brainly.com/question/8969674
#SPJ4
help!! struggling with geometry and work is due tmrw
Answer:
SK: 32
Step-by-step explanation:
Subtract SY - KY to find SK
45 - 13 = 32
Isabella needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4.25 hours and charged her $144
for parts. The total was $547.75. Which equation or tape diagram could be used to
represent the context if a represents the cost of labor per hour?
The equation is 547.75 = 4.25a + 144 so the tape diagram in option D is the correct answer.
What is an equation?A mathematical equation that represents the relationship of two expressions on either side of the sign.
It has one or more variables and equal to symbol.
Example: 3x – 5 = 5
We have,
Time spent fixing the computer = 4.25 hours
Cost of parts = $144
Total cost = $547.75
Cost of labor per hour = a
Since the cost of labor per hour is 'a' cost of labor for 4.25 hours is:
= 4.25 x a
= 4.25a
We can write an equation as:
547.75 = 4.25a + 144
Thus the tape diagram in option D is the correct answer.
Learn more about equations here:
https://brainly.com/question/28532602
#SPJ1
how do you write 4.93 as a percentage
Answer:
493%
Step-by-step explanation:
To convert a decimal to percentage, muiltiply the decimal by 100.
You want to make 20 plates and have 30 bags of shredded cheese. How can you determine how much cheese to put on each plate so that each plate has the same amount of shredded cheese?
The amount of cheese in each plate = 1.5x
There are 30 bags of shredded cheese.
Let 'x' be the quantity of cheese in each bag. Then,
The total quantity of cheese in 30 bags = 30x
Number of plates = 20 plates
We need to determine the quantity of cheese put on each plate so that each plate has the same amount of shredded cheese.
For this we just need to divide the total amount of shredded cheese by the number of plates.
The equal amount of cheese in each of 20 plates = 30x/20
= 3x/2
= 1.5x
Learn more about Dividing into equal parts at https://brainly.com/question/27436743
#SPJ1
Use the two examples that you provided in question 5 to describe how those trace elements have been introduced into our diets and/or personal hygiene habits.
Peaches, beans, spinach, and pistachios are dietary sources of iron. We get iodine via seaweed, shrimp, eggs, salt, and dairy products in our diet.
What do dietary trace elements do?
Minerals known as trace elements or trace metals are minor levels of which are found in living tissues. Some of them are known to be nutritionally necessary, some might be (but the evidence is merely speculative or sparse), and the rest are regarded as nonessential.What are trace elements give two examples?
Essential trace elements of the human body include zinc (Zn), copper (Cu), selenium (Se), chromium (Cr), cobalt (Co), iodine (I), manga- nese (Mn), and molybdenum (Mo).
Learn more about trace elements
brainly.com/question/14830792
#SPJ4
Melissa bought a new dishwasher for$1,200. The manufacturer is offering a 15% rebate. How much will the dishwasher cost after the rebate?
Answer:
$1020.00
Step-by-step explanation:
15% means 15/100 divide by 100 and you get .15
.15 x 1200 gives us the rebate. The rebate is 180. We subtract that from 1200. 1200 -180 = 1020
Another way to think about this, is that we are taking 15% off we are leaving on 85%
.85 x 1200 = 1020
help
.....................
Answer:
1. x = 9
2. x = 4
3 x =
4. x = 10
5. x =
6. x = 11
7. x = -1
8.x =
9. x = -4
10. x =
11. x = 10
12.x = -10
∠A and \angle B∠B are complementary angles. If m\angle A=(x-19)^{\circ}∠A=(x−19) ∘ and m\angle B=(3x+1)^{\circ}∠B=(3x+1) ∘ , then find the measure of \angle B∠B.
Answer:
∠ B = 82°
Step-by-step explanation:
complementary angles sum to 90° , then
∠ A + ∠ B = 90 , that is
x - 19 + 3x + 1 = 90
4x - 18 = 90 ( add 18 to both sides )
4x = 108 ( divide both sides by 4 )
x = 27
Then
∠ B = 3x + 1 = 3(27) + 1 = 81 + 1 = 82°
424 divided by 3243.6
A sheet of paper contains a list of 5 double-digit prime numbers.
Their mean is 31, while their median and mode is 29.
The largest number is 41.
Show how you can discover the 5 prime numbers written on the sheet.
the five prime number are 19,29,29,37,41
mean =sum of observations / total number of observation
= 19+29+29+37+41 /5
= 155/5
=31
median = (n+1) / 2 th term n is number of term and n is odd
= (5+1) /2 th term
= 3 rd term
= 29
mode = the value that appears most in the data
= 29
learn more of mean ,median,mode here https://brainly.com/question/15323584
#SPJ9
Evaluate each function.
41) k(t)=t-4; Find (10)
The value of k(10) is 6.
A function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has precisely one output and the output can be linked to its input.A relationship between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.Each function has a range, co-domain, and domain. The given function is k(t).k(t) = t-4Here, the value of k(t), depends upon the value of 't'. k(t) is the dependent variable whereas 't' is the independent variable. Substitute the value of 't' by 10.k (10) = 10-4k (10) = 6To learn more about functions, visit :
https://brainly.com/question/12431044
#SPJ9
[tex]\sqrt[3]{x} = 3[/tex]
Answer:
x = 27
Step-by-step explanation:
You need to cube each side.
[tex]\sqrt[3]{x} ^{3}[/tex] = [tex]3^{3}[/tex]
x = 27
Write two ratio that are equivalent to 4:5
Answer:
8:10, 12:15
Step-by-step explanation:
Find the slope of the lines containing the following points
(-2, 1) & (-5,5)
The slope of the lines containing the following points (-2, 1) & (-5,5) is [tex]\frac{-4}{3}[/tex].
As per the question statement, two points lie (-2, 1) & (-5,5) on a line.
We are supposed to find the slope of the line.
To solve this question, we need to know the formula to calculate the Slope of line passing through two points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] which is given by
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Since given in the question statement, our concerned points are (-2, 1) & (-5,5), we can consider [tex][x_{1}=(-2)] , [x_{2}=(-5)], [y_{1}=1][/tex] and [tex][y_{2}=5][/tex].
Using these values into above mentioned formula, we get,
Slope (m) = [tex]\frac{5-1}{[(-5)-(-2)]}=\frac{4}{-3}=\frac{-4}{3}[/tex].
Slope of a line: In mathematics, the slope or gradient of a line is a value that describes both, direction and the steepness of the line.To learn more about Slope of lines, click on the link below.
https://brainly.com/question/16180119
#SPJ9
help i need some answers please
Answer:
1. -3x^2 +2x -5
a= -3 b= 2 c= -5
4. 2x^2 -2x -6
a= 2 ...
Step-by-step explanation:
Standard form: Ax^2 +bx +c
Subtract numbers from one side of the equation to make it equal to zero.Or distribute until the equation is in standard form.A pet shop sold 20 rabbits for $192. some of the rabbits sold for $7 each and the rest for $11 each. how many rabbits were sold at each price?
There are 7 rabbits sold for $7 and 13 rabbits sold for $11.
Substitution method:
In the substitution method, we must substitute the value of one given variable in terms of the other given variable and find the solution.
Given,
A pet shop sold 20 rabbits for $192.
Some of the rabbits sold for $7 each and the rest for $11 each.
Here we need to find the number of rabbits sold in each case.
Let us consider x be the number of rabbits sold for $7 and y be the number of rabbits sold for $11.
We know that, the total number of rabbits sold = 20.
So, it can be written as,
=> x + y = 20
Here we have to rewritten this equation as,
=> x = 20 - y ----------------------(1)
We know that, total amount for sold rabbits = 192
So, it can be written as,
=> 7x + 11y = 192 -----------------------(2)
Apply the value of x to equation (2),
Then we get,
=> 7(20 - y) + 11y = 192
=> 140 - 7y + 11y = 192
=> 4y + 140 = 192
=> 4y = 192 - 140
=> 4y = 52
=> y = 52/4
=> y = 13.
Apply the value of y on the equation (1),
Then we get,
=> x = 20 - y
=> x = 20 - 13
=> x = 7
Therefore, there are 7 $7 rabbits and 13 $11 rabbits are sold.
To know more about Substitution Method here.
https://brainly.com/question/14619835
#SPJ4
Please helpppp!!!!!
A tree casts a shadow that is 28 feet long. A person who is 5 feet tall casts a shadow that is 8 feet long. Using similar triangles and proportions find the height x of the tree. Show all your work.
Answer:
Step-by-step explanation:
30 feet.
Find an equation of the line through (3,4) and parallel to y = 2x + 2: y =____. (Type your answer in slope-intercept form.)
Answer:
y = 2x - 2
Step-by-step explanation:
y = 2x + 2
4 = 2(3) + c
4 = 6 + c
c = -2
y = 2x - 2
The line is parallel so slope remains same but intercept changes.
When milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them:____.
When Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.
What is the Milgram experiment?Milgram's experiment examined if authority affected submission. Stanley Milgram, a Yale University psychologist, carried out several obedience tests in the 1960s that produced some providing more opportunities.
Milgram discovered that more than 60% of the men in his sample of 20 to 50-year-olds who participated in his initial series of trials reached 450 volts.
As a result, when Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.
Learn more about the Milgram experiment here:
https://brainly.com/question/28208594
#SPJ4
Need help!!
√18 is between _____.
4.5 and 4.6
8.9 and 9.1
4.2 and 4.3
3.1 and 3.2
Which of the following is equivalent to √52?
4√13
13√2
2√13
13√4
thank you ! :)
Answer:
√18 is between 4.2 and 4.3
√52 is equivalent to 2√13
......
-(16 - 5x) simplified
Answer:
5x-16
Step-by-step explanation:
-(16 - 5x)
Use distributive property to open parenthesis.
-(16 - 5x)=
=(-1*16)+(-1*-5x)=
=(-16)+(5x)=
=5x-16
Finding x.
5x-16=0
5x=16
x=3.2
Hope this helps!
Please mark as brainliest if correct!
A bookstore offered mystery bags each containing 12 books. The quantity of each type of book was the same in
each mystery bag. A shopper bought 3 mystery bags and found that 6 books were spy novels.
Based on this information, which prediction can the shopper make about buying mystery bags in the future?
A.There will be 4 more spy novels in 8 bags than in 6 bags
B.There will be 2 more spy novels in 6 bags than in 4 bags.
C.There will be 1 more spy novel in 9 bags than in 8 bags.
D.There will be 6 more spy novels in 10 bags than in 8 bags.
The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.
How to calculate the value?Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.
There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.
This is because there's an extra 2 bags which will be equal to 4 spy novels
Learn more about mystery numbers on:
brainly.com/question/25734188
#SPJ1
