Answer:
x=65
Step-by-step explanation:
Based on the given conditions, formulate: 157+3.75 X x=400.75
Rearrange unknown terms and Calculate the sum:
3.75x = 400.75 - 157
3.75x = 243.75
x=243.75 / 3.75
x=65
The cost of labour per hour is $65.
Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.
We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now, according to question 157+3.75×x=400.75
⇒3.75x=400.75-157
⇒3.75x=243.75
⇒x=243.75/3.75
⇒x=65
Therefore, the cost of labour per hour is $65.
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what is the cosine rule
Answer:
The sum of the squares of the lengths of the other sides minus twice the product of the other two sides multiplied by the cosine of angle contained between them equals the square of the length of any side of a given triangle.
Step-by-step explanation:
hope it helps
please help asap for brainlist
Answer:
Substitute the given n-values into each function, f(n), to determine which generates the same values as the given a(n)'s.
Step-by-step explanation:
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
Answer: The answer to this inequality is C.
Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
52 × (4 + t) = 70 × t52 × 4 = 70 × t - 52 × t = 18 × t
[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]
The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]
The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] metersLearn more about simultaneous equations here:
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In a two digit number, the sum of the digit is 14. Twice the tens digit exceeds the units digit by one. Find the numbers?
Answer:
59
Step-by-step explanation:
x= tens place of number
y= ones place of number
set up equations:
"sum of the digit is 14"
sum is the result of addition
x+y=14
"Twice the tens digit exceeds the units digit by one"
2x is bigger than y by 1
if 2x is bigger, then add 1 to the opposite side to balance the equation:
2x=y+1
with 2 equations you can solve for 2 variables:
2x=y+1
2x-1=y
substitute into x+y=14
x+(2x-1)=14
3x-1=14
3x=15
x=5
------
subtitute to find y
x+y=14
5+y=14
y=9
number is 59
please answer quickly!!
Answer:
Slope: 4
Intercept: 9
Step-by-step explanation:
Hope this helped! :)
Which equations below represent nonlinear functions?
y = 4x + 16
y = x2 − 2
34x − 9 = y
y = 7x
y = −8x
Please hurry and help
15 points
Answer:
A
Step-by-step explanation:
Seems like a reasonable answer choice
Plzz help Drag each graph to the correct location on the table.
The points on the graphs represent relations. Classify these relations according to whether or not they are functions.
Answer:
Functions: Second Graph
The other two are not. Use the vertical line test. I'm pretty sure but not 100%
Step-by-step explanation:
I need help ! This paper is due tmr
Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.
Step-by-step explanation:
3.75/5=0.75
75 cents per banana for B
0.75/12=0.0625
0.0625 per banana for A
grocery a has the best and lowest unit price.
To make a certain shade of paint, an artist needs to mix yellow with blue paint at a ratio of 3 to 5. He needs 32 ounces of paint.
Solution:
Step-by-step explanation:
I guess the question is how many ounces are needed per paint. right ?
the colors are mixed in a ratio 3:5.
what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.
the total is 32 ounces.
so, each of the 8 units represents
32/8 = 4 ounces.
and now we know :
yellow has 3 units
3×4 = 12 ounces
blue has 5 units
5×4 = 20 ounces
4x+2y=7 y=-2x+3.5 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer: many solutions
Step-by-step explanation:
calculate the height of the tree the answer is not 46
Please help solve this question!
Answer:
[tex]\sqrt{49 - x^{2}}[/tex]
Step-by-step explanation:
Pythagorean theorem [tex]c^{2} = a^{2} + b^{2}[/tex] Then:
[tex]7^{2} = x^{2} + y^{2}\\y^{2} = 7^{2} - x^{2}\\y^{2} = 49 - x^{2}\\y = \sqrt{49 - x^{2}}[/tex]
the lenght of the third side = [tex]\sqrt{49 - x^{2}}[/tex]
Ф = [tex]sin^{-1} (\frac{x}{7} )[/tex]
Ф = [tex]cos^{-1} (\frac{y}{7} )[/tex]
Ф = [tex]tan^{-1} (\frac{x}{y} )[/tex]
Please help me I need help
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A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites, she has to leave for school. What is the approximate probability that she checked a social website first, then a school-related website? 0. 042 0. 267 0. 533 0. 667.
The approximate probability that she checked a social website first, then a school-related website is 0.267.
First step is to calculate the Total number of websites
Total number of websites=Number of school websites+Number of social websites
Total number of websites=2+4
Total number of websites=6
Second step
Probability of checking the social website first
Probability of checking social website=Number of social websites/Total number of websites
Probability of checking social website= 4/6
Third step
Since one social website is checked which means that she is left with 3 social website and 2 school websites
Total number websites=2+3
Total number websites=5
Forth step
Probability of checking social website=Number of school websites/Total number websites
Probability of checking social website=2/5
Fifth step
Probability= 4/6 x 2/5 = 0.2666
Probability=0.267(Approximately)
Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.
Learn more about probability here:https://brainly.com/question/25688842
Answer:
0.267
Step-by-step explanation:
Total websites = school websites (2) + social websites (4) = 6
Checking social website = social websites (4) /Total websites (6) = 2/3
Total websites is 5
Checking social website = school websites (2) /Total websites (5)
4/6 x 2/5 = 0.2666
Answer: 0.267
Hope this helps :)
(-3x+4)+(x-9) help please.
Answer:
- 1 · (2×±5)Step-by-step explanation:
Answer:
−2−5
Step-by-step explanation:
(-3x+4)+(x-9)
−3x+4+x−9
Subtract
−3x+4+x−9
-3−5+
Combine terms
−3x−5+x
−2−5
MEDIUM) Ana gave Bill and Clare as much money as each had. Then Bill gave Ana and Clare as much money as each had. Then Clare gave Ana and Bill as much money as each had. Then each of the three people had $24. How much money did each have to begin with
Answer:
At the very end, the amounts of money are:
A -- 24
B -- 24
C -- 24
If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:
A -- 12 (24 minus 12)
B -- 12 (24 minus 12)
C -- 48 (24 plus 12 plus 12)
Before that, A and C got half of what they had above from B, so:
A -- 6 (12 minus 6)
B -- 42 (12 plus 6 plus 24)
C -- 24 (48 minus 24)
And initially, B and C got half of what they had above from A, so:
A -- 39 (6 plus 21 plus 12)
B -- 21 (42 minus 21)
C -- 12 (24 minus 12)
Step-by-step explanation:
solve the following equation. Enter your answer as an integer, decimal or fraction.
Answer:
x = 5 or × = -7/2
Step-by-step explanation:
I hope you get it good luck.
4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
O No correlation
Answer:
Negative Correlation
Step-by-step explanation:
Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.
please help asap for brainlist
Answer:
it's (2,-4)
hope it helps
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend onthe trip?
Answer:
3hrs 15 minutes
Step-by-step explanation:
10:45
-07:30
------------
03:15
------------
The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.
0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.
Given :
The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]The following steps can be used in order to determine what does 0.92 represents:
Step 1 - Write the given function.
[tex]f(x)=24000(0.92)x[/tex]
Step 2 - In the given function $24000 represents the original value of the car.
Step 3 - According to the given data, 'x' represents the number of years.
Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.
Therefore, the correct option is D).
For more information, refer to the link given below:
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pls answer quickly
the spring scan shows mass in kilograms what is the mass shown here?
A) 2.5kg
B) 7.5kg
C) 12.5kg
D) 17.5
Answer:
B) 7.5kg
Step-by-step explanation:
It is between 5kg and 10kg, so it would be 7.5kg.
Correct me if I'm wrong, isn't the Distance from A to C be 7?
Cords:
A (1,0)
B (1,6)
C (5,3)
Answer:
no you're not wrong go with your gut
Step-by-step explanation:
i need answer please
Answer:
7
Step-by-step explanation:
48/6=8
56/8=7
Answer:
7
Step-by-step explanation:
the second triangle is 1/8 of the first so 56 divided by 8 is 7
Help help help help math
If x = 1 and y = 2 is a solution to the simultaneous equation ax + by = 2 and bx + a^(2)y = 10, find the possible values of a and b.
Answer:
a = - 2, [tex]\frac{9}{4}[/tex] , b = 2, - [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b
a + 2b = 2 → (1)
b + 2a² = 10 → (2)
In (1) subtract 2b from both sides
a = 2 - 2b → (3)
Substitute a = 2 - 2b into (2)
b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL
b + 2(4 - 8b + 4b²) = 10 ( simplify left side )
b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )
8b² - 15b - 2 = 0
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term
product = 8 × - 2 = - 16 and sum = - 15
The factors are - 16 and + 1
Use these factors to split the b- term
8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )
8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term
(b - 2)(8b + 1) = 0
Equate each factor to zero and solve for b
b - 2 = 0 ⇒ b = 2
8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - [tex]\frac{1}{8}[/tex]
Substitute these values into (3) and evaluate for a
b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2
b = - [tex]\frac{1}{8}[/tex] ⇒ a = 2 - 2(- [tex]\frac{1}{8}[/tex] ) = 2 + [tex]\frac{1}{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]
The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
ax + by = 2 (1)
and bx + a²y = 10 (2)
Also, x = 1 and y = 2 are the solution of the equation,
Substitute x = 1 and y = 2in equation (1),
a(1) + b(2) = 2
a + 2b = 2 (3)
Further substitute x = 1 and y = 2 in equation (2),
b(1) + a²(2) = 10
2a² + b = 10 (4)
By solving equation (3) and (4),
The possible values of a are 8 and 9/4.
And possible value of b are -3 and -1/8.
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hello, please answer
if
[tex]\frac{a}{b} = \frac{c}{d} = \frac{2}{5}[/tex]
then what is the answer of :
[tex]\frac{a + 3c + 4}{b + 3d + 10}[/tex]
Step-by-step explanation:
[tex]{ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}[/tex]
• Substitute:
[tex]{ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}[/tex]