Antonio just signed up for new phone plan and is comparing his fees to that of his friend
Marcus. They both create equations so that they could compare their fees with each other.
Antonio's plan: Monthly cost 3 (.75m + 10) + 2.50m – 15 where m is the
number of minutes used
Marcus's Plan: Monthly cost 2 (1.75m + 12.50) – .75m + 4 where m is the
number of minutes used by setting their monthly cost equal, decide after how many minutes the two plans will cost the same
Answer:
7 minutes
Step-by-step explanation:
Antonio's plan: Monthly cost
3 (.75m + 10) + 2.50m – 15
Marcus's Plan: Monthly cost
2 (1.75m + 12.50) – .75m + 4
where, m = number of minutes used by setting their monthly cost equal
3 (.75m + 10) + 2.50m – 15 = 2 (1.75m + 12.50) – .75m + 4
2.25m + 30 + 2.50m - 15 = 3.5m + 25 - .75m + 4
4.75m + 15 = 2.75m + 29
4.75m - 2.75m = 29 - 15
2m = 14
Divide both sides by 2
m = 14 / 2
= 7
m = 7 minutes
1. What is the difference between Salary and Wage?
2. $15 per hour is the basic rate at a factory. After a 48-hour basic work week,
overtime is paid time and a half.
a. If no one worked overtime and the factory paid $15840 in wages one week
how many workers are in the factory?
b. During another week, a worker in the factory earns $810 in wages for
himself. How many hours did he work for?
Hi
Answer:
answer yourself
Step-by-step explanation:
baby weighs 4kg when born. at 6 months it weighs m kg. write expression for the weight gain of baby over 6 months
Answer:
gsgdysbdhydsh jz jsjsjeueheyshsusjdhhdjdhdud7
Step-by-step explanation:
hsgshshhshjsjshsjsnseusjsuusjdhddhdydhdhshhsus hjdshsdjdjusisisos kejhfkzbudhuedje3hxue26r2ztedstzvyAnswer:
Wiki Biki Kiki mc mf you
If it took 2 hours to clean 5 houses, how many houses could be cleaned in 6 hours?
Answer:
15 houses
Step-by-step explanation:
[tex]\frac{2}{5} = \frac{6}{y} \\[/tex]
2y = 30
y = 15 houses
Why can you use fraction multiplication to check the
answer to a fraction division problem? How do you use
multiplication to check a division problem?
Answer:
Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.
have a great day :)
Because multiplication is the converse of division,
If x/y=z then x=?x/y=z
x=yz
Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.
Just like addition is the converse of subtraction.
If x/y=z,
then x=yz.
If x divided by y is equal to z, then x equals y times z. These are the rules of arithmetic. If they weren't true the universe would fall apart! The rule can be used as a check that you have the right answer.
Therefore converse of division is the answer.
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The ratio of students that wear glasses to students that do not wear glasses is 1:4. If there were a total of 30 students. How many students wear glasses?
Answer:
34
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
For every 5 students, 1 wears glasses and 4 don't. If you take the total number of students, 30, and divide it by 5, you have 6 groups of 5 students. There will be 1 student for each of those groups wearing glasses, or 6 students.
5 + k – 5k = -4k + 6 0
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5+k−5k=−4k+60
5+k+−5k=−4k+60
(k+−5k)+(5)=−4k+60(Combine Like Terms)
−4k+5=−4k+60
−4k+5=−4k+60
Step 2: Add 4k to both sides.
−4k+5+4k=−4k+60+4k
What restriction should be applied to y = tanx for y = arctanx to be defined?
Look at the picture below for the choices.
Answer:
its c on edge
Step-by-step explanation:
restrict the domain to (-pi/2,pi/2)
The restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The graph below shows the functions tan(x) and arctan(x) that is tan^-1(x)
In order to have an inverse function for trigonometry, we restrict the domain of each function, so that it is one to one.
A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test.
Thus by restricting the domain [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] we can obtain the function [tex]tan(x)[/tex] as [tex]tan^{-1} (x)[/tex].
Hence we can conclude that the restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.
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What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
Answer:
what's the diagram??
Step-by-step explanation:
what's the diagram??
X+y=6 in slope intercept form
Here is a figure that looks like the letter A, along
with several other figures. Which figures are scaled
copies of the original A?
Figure 2 as it is the same as original but bigger
Which set of numbers is the most reasonable to describe the number of desks in a classroom?
A. irrational numbers
B. whole numbers
C. integers
D. rational numbers
Answer:
B you could get the exact number if desk
Answer:
Whole numbers is the most reasonable to describe the number of desks.
You purchase 20 lottery tickets, for which the probability of winning some prize on a
single ticket is 1 in 20. What is the probability that you will have at lease one winning
ticket among the 20 tickets?
Rewrite 11/40 as a decimal number
Answer:0.275
Step-by-step explanation:
If one inch represents 15 feet, what dimensions would you use to make a scale drawing of a building 550 feet by 600 feet?
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Answer:
36 2/3 inches by 40 inches
Step-by-step explanation:
To find the drawing dimension, multiply the actual dimension by the scale factor:
(550 ft)×(1 in/(15 ft)) = (550/15) in = 36 2/3 in
(600 ft)×(1 in/(15 ft)) = (600/15) in = 40 in
The dimensions on the drawing would be 36 2/3 inches by 40 inches.
Suppose 1 in 10 people on campus have blonde hair. In 20 random encounters, what is the probability of meeting at least one person with blonde hair?
Answer:
2/20 people
Step-by-step explanation:
that should be right
2 1/4 hrs are how many seconds
Answer:
8100 seconds
Step-by-step explanation:
2 1/4 = 2.25
2.25 x 3600 = 8100
Harold had a summer lemonade
stand where he sold small cups for
$1.25 each and large cups for $2.50
each. He made $265. If Harold sold
88 small cups, find the number of
large cups he sold.
The basketball team scored a total
Answer:
62 large cups were sold
Step-by-step explanation:
88*1.25=110
265-110=155
155/2.50=62
PLEASE ANSWER REALLY QUICK PLEASE?!?!?!?!
Answer:
12x -11
Step-by-step explanation:
Lets start by applying the 2/3 to the two values in the parenthesis. Doing so will yield: 4x -7 +8x -4. We can simplify this to be 12x -11
An easy way to determine the slope of a roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface. This will give you the slope of the roof.
The slope of the roof shown here is measured with a 12-inch level and a ruler.
What is the slope of the roof in this picture?
Answer:
7/12
Step-by-step explanation:
m=rise/run
The required slope of the roof is given as 7/12, as per the given conditions.
Given that,
A roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface.
The slope is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Vertical reading of rising measure by a 12-inch level = 7
horizontal reading(run measure) = 12
The slope of the roof is given as,
m = rise/ run
m = 7 / 12
Thus, the required slope of the roof is given as 7/12, as per the given conditions.
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what is the answer to 2x+2x-9=19
Answer:
x = 7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
We have to solve for [tex]x[/tex] so we isolate the value of x in the expression.
[tex]2x + 2x - 9 = 19[/tex]
[tex]2x + 2x - 9 + 9 = 19 + 9[/tex]
[tex]2x + 2x = 28[/tex]
[tex]4x = 28[/tex]
[tex]\frac{4x}{4} = \frac{28}{4}\\[/tex]
[tex]x = 7[/tex]
the average number of potholes per 10 miles of paved us roads is 130
Round the numbers to the nearest thousands.
4 252-
8 683-
50 000-
59 490-
96 156-
Answer:
1. 4,000
2. 9,000
3. 50,000
4. 59,000
5. 100,000
A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2.5 times its birth weight. How many pounds did the baby weigh at the end of 8 months?
Answer: 18.125 lbs
Explanation: The baby weighed 18.125 pounds at the end of eight months.
The baby weighed 7.25 lbs at birth. Eight months later, he weighed 2.5 or 2½ times its birth weight. Multiply 7.25 by 2.5 (which equals 18.125).
So now eight months later, he's 18.125 pounds.
se considera G centrul cercului greutate al triunghiului abc, a prim, b prim,c prim sunt mij lat bc,ac, ab. daca ga' = 5CM
Answer:
consider G the center of the circle weight of the triangle abc, a prim, b prim, c prim are medium lat bc, ac, ab. if ga '= 5CM
Step-by-step explanation:
Find the LCM of the given numbers 24 36
A:36
B:72
C:144
D:864
Answer:
B
Step-by-step explanation:
24*3=72
36*2=72
?
After not studying hard enough and losing his academic scholarship, Mark needs to borrow money from 2 different banks to pay
his tuition. Bank Seven charges 12% simple interest, while First Collegiate Bank charges 10%. Mark had to borrow twice as
much from Bank Seven as he did from First Collegiate Bank. After one year, the combined interest he owed was $816. How
much did Mark borrow in total?
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Answer:
$7200
Step-by-step explanation:
If x is the total amount borrowed, then 2/3x was borrowed from Bank Seven, and 1/3x was borrowed from First Collegiate Bank. The total interest owed was ...
(2/3x)(0.12) +(1/3x)(0.10) = $816
x(2/25 +1/30) = $816
(17/150)x = $816
x = $816(150/17) = $7200
Mark borrowed a total of $7200.
I don’t understand this .
Answer:it’s b because can fold into the shape
Step-by-step explanation:
Write an equation for a line perpendicular to y= -4x - 3 and passing through the point (-4,2)
Answer:
y = (x/4) + 3
Amy opened a savings account with $1.350 she received for graduation. The account pays 4.3% simple interest. What is the balance after 6 months?