Answer:
C= 75t + 50
This is the equation to use.
The equation that represents the total cost for a house will be C = 75t + 50.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
An electrical expert charges $75 each hour on top of a set expense of $50 for each house call.
Let 't' be the number of hours and 'C' be the total cost of the service. Then the equation is given as,
C = 75t + 50
The condition that addresses the all-out cost for a house will be C = 75t + 50.
More about the linear equation link is given below.
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Meera paid $240 for 4 pairs of shoes and 4 pairs of
shorts. Each pair of shoes cost 4 times as much as a pair of
shorts. Find the difference in price between a pair of shoes
and a pair of shorts.
Answer:
Difference between the two is $36.
Step-by-step explanation:
Pair of shorts costs $12. Shirt costs $48.
48-12=36
Ms.chin asked her students to use the properties of multiplication to rewrite the expression
−4=−(−k−86)+10
solve for k
Answer:
k=-100
Step-by-step explanation:
Hope this helped have an amazing day!
Find the sum.
(5p+11) + (8p- 4)
A. 5p+7
B. 13p-7
C. 13p+7
D. 13p+15
AP3X
Answer:
[tex](5p + 11) + (8p - 4) \\ = ( 13p + 7)[/tex]
C. (13p+7) is the right answer.Order the set {-4 1/2 , 5.6, -2 3/8, and 1.35} from least to greatest. I already got my answer i just want to make sure since im studing for a test. Thank you!
Answer:
-4 1/2, -2 3/8, 1.35, 5.6Step-by-step explanation:
Imagine the numbers are plotted on the number line.
-4, -2, 1, 5 (ignoring the fraction part as the whole part is different for each number and it makes it easier to order properly)Order on the number line which is from least to greatest:
-4 1/2, -2 3/8, 1.35, 5.6An ice hockey team is considering changing their team name and mascot and would like to measure city support for the change. Which of the following methods would not provide a voluntary response sample?
Answer:
b
Step-by-step explanation:
because there only allowing the first 50 to register that would be a contest
The method which would not provide voluntary response is that at one of the team games, a person surveys the first 50 people who arrived at the game. Hence, option B is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given information in the question,
An ice hockey team is changing their team name as well as the mascot and would like to measure city support for the change to the method which would not provide a voluntary response sample is that at one of the team games, a person surveys the first 50 people who arrived at the game.
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the total cost of ticket for a play is $95. tickets cost 2.50 one child and $5.00 for an adult. write equations that will represent the number of children and adult,describe the variable each representation ?
Answer:
2.50C +5.00A=95
Step-by-step explanation:
In this equation, C represents the number of children attending and the A represents the amount of adults attending.
Which are undefined?
sec(-pi/)
csc(3pi)
cot(7pi/2)
csc(-3pi/2)
cot(5pi/3)
Step-by-step explanation:
after you draw a unit circle you will find the answer
cosec(3pi)=1/sin(3pi)
sin3pi=sinpi=0
so cosec3pi=1/0 which is undefined.
The trigonometric functions [tex]csc(3\pi)[/tex] is undefined.
To understand more, check below explanation.
Trigonometric function:The value of given trigonometric function are show below,
[tex]sec(-\pi)=sec(\pi)=-1\\\\csc(3\pi)=\frac{1}{sin(3\pi)}=1/0 =\infty\\\\cot(\frac{7\pi}{2} )=\frac{1}{tan(\frac{7\pi}{2} )} =\frac{1}{\infty} =0\\\\csc(-\frac{3\pi}{2} )=1\\\\cot(\frac{5\pi}{3} )=\frac{1}{\sqrt{3} }[/tex]
Hence, the trigonometric functions [tex]csc(3\pi)[/tex] is undefined.
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you are purchasing a subscription to spotify premium.the subscription costs 15$ per month what's the dependent variable and independent variable
Answer:
$15 dependant variable, month is the independent variable
Review the proof. Which step contains an error
Step 2
Step 4
Step 6
Step 8
Answer: step 4
Step-by-step explanation:
Error in the proof starts with the first mistake done. The erroneous step in the proof is given by: Option B: Step 6.
How does sign changing works?Sign changing in equation does by multiplying -1 on both the sides.
So, if we had [tex]a + b = c[/tex]
Then, its signs are changed as:
[tex]-1(a + b) = -1 \times c\\-a -b = -c[/tex]
For the given case, the mistake occurred during transition from step 5 to step 6. Step 6 is wrong as when sign was changed, sin of cos(θ) remain same, which makes step 5 and step 6 not equal to each other.
The correct proof would be like:
[tex]\rm \cos(2x) = 1- 2\sin^2(x)\\Let\: 2x = \theta\\\\Then: x = \dfrac{\theta}{2}\\\\\cos(\theta) = 1 - 2\sin^2(\dfrac{\theta}{2})\\-1 + \cos(\theta) = -2\sin^2(\dfrac{\theta}{2})\\\\1 - \cos(\theta) = 2\sin^2(\dfrac{\theta}{2})\\\\\dfrac{1-\cos(\theta)}{2} = \sin^2(\dfrac{\theta}{2})\\\\\sin(\theta) = \pm \sqrt{\dfrac{1-\cos(\theta)}{2} }[/tex]
Thus, the erroneous step in the proof is given by: Option B: Step 6.
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The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probability it is not a perfect power (integers that can be expressed as $x^{y}$ where $x$ is an integer and $y$ is an integer greater than 1. For example, $2^{4}
Answer:
139/150
Step-by-step explanation:
Let's make a list of the perfect squares.
1 4 9 16 25 36 49 64 81 100 121 144
The probability that one of these is drawn is 12/150 = 4/50 = 2/25
Take out 1. So that means there are 11 perfect squares.
11/150 are your chances of getting a perfect square.
1 - 11/150 = 139/150 that you will not get a perfect square.
I would have included 1 in the perfect squares, but the question says not to so you can't.
If the question did not mean that 1 should be excluded, then the answer is 23/25
what is a multiple? I forgot.
Answer:
A multiple is the product result of one number multiplied by another number.
Step-by-step explanation:
Multiples are what we get after multiplying the number by an integer (not a fraction).
Example:
3 × 4 = 12, so 3 and 4 are factors of 12.
Hope this helps!
have a great day/night :D
A radio station charges an initial fee for broadcasting advertisements plus a rate based on the length of the advertisement in seconds. The table below shows the total charges for advertisements of different lengths.
Which equation BEST represents the linear relationship between n, the length in seconds of an advertisement and c, the total charge of the advertisement?
a. c=3n+180
b. c=4n+120
c. c=2n+210
d. c=5n+150
p.s graph is attached
Answer:
It's a.
Step-by-step explanation:
15s*3+180=225
30s*3+180=270
60s*3+180=360
30s*3+180=270
PLEASE I NEED HELP WITH THISSS ASAP!!!! I WILL GIVE BRAINLIEST!
What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
B. Divide by 4.
C. Multiply by -12.4.
D. Divide by -12.4.
Answer:
I think is The little (D) -12.4.
As an estimation we are told 5 miles is 8 km.
Convert 27.4 miles to km.
Answer:
≈ 44 kmStep-by-step explanation:
5 miles = 8 km
Then:
1 mile = 8/5 kmThen 27.4 miles is:
27.4*8/5 = 43.84 ≈ 44 kmAshad is rewriting the expression 28 a + 36 a b as a product. Which statements about the expression are accurate and relevant to his rewriting the expression? Select three options.
The GCF of the numbers in each term in the expression is 2.
The GCF of the numbers in each term in the expression is 4.
The GCF of the variables in each term in the expression is a.
The factored form of the expression is 2 a (14 a + 18 a b).
The factored form of the expression is 4 a (7 + 9 b).
Answer:
Step-by-step explanation:
(28a+36ab)
I have a hard time understanding this question
Answer:
22m+42 is the answer
Step-by-step explanation:
All you have to do is simplify and add the common factors.
Brenda makes $95,000 per year.
a. How much does Brenda have taken off in federal tax?
b. How much does Brenda have taken off in NWT tax?
c. What percent of taxes does Brenda have taken off her cheque? Round to the
nearest decimal place.
what r the tax amounts
if tan=5/12 what is sin
Answer:
5/13
Step-by-step explanation:
by using SO TO CA
H A H
sin can be obtained
Find the value of x that solves the system shown below.
y = 5x
2x - y = 18
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
Please solve this
[tex] {2}^{2x + 2} + 8 = 33( {2}^{x} ) [/tex]
indicial equations
Answer:
[tex] {2}^{2x + 2} + 8 = 33( {2}^{x} ) \\ = > ( {2}^{2x} \times {2}^{2} ) + 8 = 33( {2}^{x} ) \\ let \: {2}^{x} be \: m \\ = > 4 {m}^{2} + 8 = 33m \\ = > 4 {m}^{2} - 33m + 8 = 0 \\ use \: quadratic \: equation \\ m = \frac{- b \frac{ + }{} \sqrt{( {b}^{2} - 4ac)} }{2a} [/tex]
Bus A leaves the station every 30 mins bus b leaves the station every 20 mins at 10 am both buses leave the station together work out the next time both buses leave at the same time
Answer: 11am
Step-by-step explanation:
To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:
20 = 20, 40, 60, 80, 100
30 = 30, 60, 90, 120, 150.
Here, the lowest common multiple is 60.
Therefore, we add 60 minutes to 10am. This will be:
= 10am + 1 hour
= 11 am
The next time that both buses leave at the same time would be 11am
What is the value of x?
I need help fast thanks
the radius of a bubble increases by 4%. Calculate the percentage increase in its (a) surface area (b) volume (to three significant figures )
Answer:
Step-by-step explanation:
Given that the radius of a bubble increases by 4%.
Let r be the radius of the spherical bubble, so the new radius of the sphere
[tex]R= r+0.04r = 1.04r\cdots(i)[/tex]
(a) Surface area of the bobble,
[tex]s=4\pi r^2[/tex]
So, the rate of increase of surface area = [tex]4\pi R^2 -4\pi r^2= 4\pi(R^2-r^2)[/tex]
The percentage change in the surface area [tex]= \frac {4\pi(R^2-r^2)}{4\pi r^2}\times 100[/tex]
By using equation (i)
The percentage change in the surface area = [tex]\frac {(1.04r)^2-r^2}{ r^2}\times 100[/tex]
[tex]=(1.04^2-1)\times 100[/tex]
=8.160%
Therefore, the percentage change in the surface area is 8.160%
(b) The volume of the sphere = [tex]4/3 \pi r^3[/tex]
So, the change in the volume = [tex]4/3 \pi R^3-4/3 \pi r^3[/tex]
Percentage change in the volume =
[tex]\frac {4/3 \pi R^3-4/3 \pi r^3}{4/3 \pi r^3}\times 100[/tex]
[tex]=(1.04^3-1)100[/tex] [by using equation (i)]
=12.486%
Therefore, the percentage change in the volume is 12.486%.
Point B is in quadrant _____ And point D is in quadrant _____ (PLZ HELP ASAP!!!!!)
Answer:
point B is in quadrant I and point D is in quadrant II
Step-by-step explanation:
If the diameter of the following circle is tripled, which of the following expressions could be used to find the area of the
new circle?
18 in
3254.34 in 2
31113.04 in
9(1017.36 in
9.254.34 in
Answer:
my answer is a bit different but kinda similar ig.
254.34in^2
Step-by-step explanation:
Radius = Diameter/2 18/2 = 9
Area of circle= pi(3.14) x r^2
A= (3.14) x 9^2
A= (3.14) x 81
A= 254.34in^2
Answer:
I can confirm that the answer is 3(254.34 in.2). I did it on Odyssey
Step-by-step explanation:
Chad and Eric left a 20% tip after having lunch at a restaurant. Chad's lunch cost $10.
Which equation can you use to find x, the cost of Eric's lunch?
Group of answer choices
A) 0.2(x + 10) = 5
B) 0.2x = 10 + 5
C) 0.2x + 5 = 10
D) 0.2x + 10 = 5
Answer:
The equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]
Option A is correct option.
Step-by-step explanation:
Chad and Eric left a 20% tip after having lunch at a restaurant.
Cost of Chad Lunch = $10
Let Cost of Eric's lunch = x
So, Total cost of Chad and Eric's Lunch = x+10
Now, they left a 20% tip
it means 20% of total cost of lunch
20% can be written as 0.2
So, 0.2 of total cost of lunch is tip of the meal
We can write: 0.2 of (x+10)
or 0.2(x+10)
Looking at options, considering $5 was the amount of tip, the final equation will be:
[tex]0.2(x+10)=5[/tex]
So, the equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]
Option A is correct option.
9 please help! please only real answers; will report
Given:
The function is
[tex]f(x)=\log_5(x)[/tex]
To find:
The graph of the given function.
Solution:
We have,
[tex]f(x)=\log_5(x)[/tex]
At x=1,
[tex]f(1)=\log_5(1)[/tex]
[tex]f(1)=0[/tex] [tex][\because \log_a(1)=0, a>0][/tex]At x=5,
[tex]f(5)=\log_5(5)[/tex]
[tex]f(5)=1[/tex] [tex][\because \log_aa=1][/tex]
So, the graph of given function passes through the points (1,0) and (5,1). Only graph in option A passes through these two points.
Therefore, the correct option is A.