Using weighted average, it is found that she should score 67% on the computer science test.
The weighted average is given by each proportion multiplied by it's score.In this problem, the proportions and scores are given by:
Proportion of 32% = 0.32 for a score of 300.Proportion of x for a score of 200.Proportion of 46% = 0.46 for a score of 300 + 200 = 500.Then
[tex]0.32(300) + 200x = 0.46(500)[/tex]
[tex]200x = 0.46(500) - 0.32(300)[/tex]
[tex]200x = 134[/tex]
[tex]x = \frac{134}{200}[/tex]
[tex]x = 0.67[/tex]
She should score 67% on the computer science test.
A similar problem is given at https://brainly.com/question/24855677
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $950. What was the rate charged per hour by each mechanic if the sum of the two rates was $125 per hour?
Answer:
First mechanic: $65.
Second mechanic: $60.
Step-by-step explanation:
Let the rates be x for the first mechanic and y for the second.
x + y = 125
10x + 5y = 950
Multiply first equation by - 5
-5x - 5y = -625
Adding the last 2 equations:
5x = 325
x = 65
y = 125-65 = 60 .
Does anyone know how to do multiple in fractions like for a example 1/12•1/3? Please explain step by step
[tex] \frac{1}{12} \times \frac{1}{3} \\ = \frac{1 \times 1}{12 \times 3} \\ = \frac{1}{36} [/tex]
When you want to multiply 2 fractions, merge the fractions together & then multiply the numerator first & then the denominator. After that, simplify to the lowest form if possible.Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles
will he run in 5 hours?
A. 50 miles
B. 10 miles
O C. 25 miles
O D. 30 miles
Answer:
Answer: 25 miles
Step-by-step explanation:
Explanation: He will run 5 hours= 5x5=25
Answer:
25 miles
Step-by-step explanation:
I'll create a set of proportions to figure out the answer (represented by x):
2:10 = 5:x
It looks like our proportion on the left, 2:10, can be simplified by dividing both sides by 2 to get 1:5.
1:5 = 5:x
You can multiply 1 by 5 to get 5, so we should be able to multiply 5 by 5 to get the value of x. 5 times 5 is 25, so the answer to the question is 25 miles.
If you have questions or need clarification on anything, let me know!
Giving brainliest for number 31
Answer:
b, d, c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
f(x)=x²-x
#CarryOnLearning
hopeithelps,,thanks
Find the domain and range for the function shown in the
graph given below.
Answer:
d{0 less than or equal to x less than or equal to 20, xer}
r{0 less than or equal to y less than or equal to -6,yer}
Step-by-step explanation:
The Domain and Range of the graph given is -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
We have a graph as shown in the figure.
We have to determine its domain and range.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
According to question, we have -
From the graph it is clear that -
The values of y belong to the set - [1, -6]
and
The values of x belong to the set - [- 21, 20]
Therefore, according to the definition of domain and range -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
Hence, the Domain and Range of the graph given is -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
To solve more questions on finding the domain and range of functions, visit the link below -
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0.35 x 9 = 3.15
Is this an overstatement understatement
[tex]over \: \: statement \: \\ \\ 0.35 \times 9 = 3.15 \\ \\ multiply \: 0.35 \times 9 \\ 3.15 = 3.15 \\ \\ so \: the \: answer \: is \: \: overstatemnt \\ \\ hope \: \: it \: \: helps[/tex]
Write an equation for the line that passes through the given point and is parallel/perpendicular to the graph of the given point.
Parallel: Y=3x-2; (3,2)
Perpendicular: Y= -2x-1; (2,-1)
Also I will mark brainly to who explain what they did step by step
Answer:
Parallel: The slope is the same as in the previous equation. So, y=3x+b. To find the value of b, you plug in the given point, 2=3(3)+b, b=-7. So the equation is y=3x-7.
Perpendicular: The slope is the negative reciprocal when an equation is perpendicular. The negative reciprocal of -2 is 1/2. So, y=1/2x+b. To find the value of b, you plug in the given point, -1=1/2(2)+b, -1=1+b, b=-2. So the equation is y=1/2x-2.
:)
9514 1404 393
Answer:
parallel: y = 3x -7perpendicular: y = 1/2x -2Step-by-step explanation:
The given line equations are written in "slope-intercept" form.
y = mx + b . . . . . . . . . m is the slope; b is the y-intercept
If we solve this equation for b, we find ...
b = y - mx
This is useful for completing the equation of the line through a given point when the slope is known.
ParallelA parallel line will have the same slope as the given line. The given line has a slope (x-coefficient) of 3. We can find the "b" of the line through the desired point as ...
b = y -3x
b = 2 -(3)(3) = -7
The equation of the parallel line is ...
y = 3x -7
__
PerpendicularA perpendicular line will have a slope that is the opposite reciprocal of the slope of the line it is perpendicular to. Here, the given line has a slope of -2, so the perpendicular line will have a slope of ...
-1/(-2) = 1/2
Then the y-intercept is ...
b = y -(1/2)x
b = -1 -(1/2)(2) = -2
And the equation of the perpendicular line is ...
y = 1/2x -2
__
The attached graph shows the original lines as dashed lines, and the corresponding desired lines as solid lines in the same color.
What is the length of the red line segment on the number line?
A. 2
B. 2 1/2
C. 1
D. 1 1/2
Step-by-step explanation:
I think it's D 1 1/2......
An aquarium has 5 gallons of water in it and is being filled up at a rate of g gallons every m minute. The amount of water w in the tank can be represented by the equation
w = 5 + g - m. Write an equation that can be used to find the number of minutes m the tank has been filled if we know w and g.
Write an equation that can be used to find the number of minutes g the tank has been filled if we know w and a.
Answer:
m=5+g-w
Step-by-step explanation:
This should be the answer based on the equation given.
Answer:
See belowStep-by-step explanation:
The equation for the amount of water is:
w = 5 + gmSolve for m:
gm = w - 5m = (w - 5)/gNow solve for g:
gm = w - 5g = (w - 5)/mScientists often write very large or very small numbers using exponents. How might a scientist write the number shown using exponents?
make it look like a seventh grader wrote it please
y < -2x + 1
x + 2y > -4
Answer:
99
Step-by-step explanation:
Which equation represents the line that passes through C(2,4) and is perpendicular to the graph of y=1/3x-1?
Answer:
Step-by-step explanation:
y=-3x + b the slope is the negative inverse of 1/3
4=3(2) + b
b =-2
the equation is
y=-3x - 2
slope is the negative inverse. You find the y intercept, b, by plugging in the point (2,4) to get 4=3(2)+b
In the equation 4x² - 16x + 12 = 0, the solution is?
Answer:
x = 3 or x = 1Step-by-step explanation:
[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]
(4x - 12) = 0 or (x - 1) = 0
[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]
[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]
x = 3 or x = 1 should be.
what is the slope of the line that contains the points (7, -1) and (-2, 2) ?
A - 1/3
B 1/3
C - 3
D - 2
Step-by-step explanation:
m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
m = [tex]\frac{2-(-1)}{(-2)-7}[/tex]
m = [tex]\frac{3}{-9}[/tex]
m = [tex]-\frac{1}{3}[/tex]
Please give me a brainliest answer
If 3x + 2y= 14 and 5x + 3y = 12, then find the value of 5x- y.
a. 100
b. 124
c. -100
d. -124
What is the value of x in the proportion below? -
2/3 over 5 = x over 15
•2
•3
•10
•75
Answer:
2/3 over 15 is 10
so 10/5=2
2 is the answer
Step-by-step explanation:
What phrase in the problem indicates that estimated product is being asked for?
Pa HELP POOOOOOOO
Answer:
571 x 32 = 18,272
Step-by-step explanation:
Okay, multiplication was always a favorite.
Think of this, 571 thirty-two times.
A man finished 2/3 of a project in 4hours. Working at the same rate, how long will it take him to finish 5/6 of the same project?
It will take 6 hours to finish the same project.
How to find the time taking to finish the project?From the given information, we get
[tex](\frac{5}{6} * \frac{2}{3} ) * 4[/tex] = 6
The answer is 6 hours.
What is problem-solving?Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
Learn more about Problem-solving here: brainly.com/question/23945932
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Hi ppl of brainly. I need some help with my math assignment. explain if u can (if u can't, that's okay ) if you dont know it. please dont answer it. if u have any questions about the question, please drop in a comment!
Answer:
17.156
Step-by-step explanation:
A rational number has has a terminating decimal expansion or a decimal expansion of non-terminating repeating digits. Here, the decimal expansion is terminating, so it is a rational number.
Answer:
C. 17.156
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction. So for example, since [tex]\sqrt{2}[/tex] cant be expressed as a fraction, it isn't rational. A number like 1.25 on the other hand IS rational as it can be expressed as [tex]\frac{5}{4}[/tex] or [tex]\frac{125}{100}[/tex].
Option C can be expressed as [tex]\frac{17156}{1000}[/tex], so it must be rational.
- Note that if a number has a finite amount of digits after the decimal (ie it doesn't go on forever like option B), it can be represented as a fraction and thus is rational.
Naomi is still not sure how many boxes of each type of candy to order. Her dad explains that he needs to do a little more mathematics before she can determine the best candy order. He creates a table to help her determine the solution.
He asks her to calculate how much money the band would make if she ordered 500 boxes of
each type of candy. He also asks her to calculate the profit on an order of 300 boxes of milk
chocolate and 500 boxes of dark chocolate. Determine both answers and show your work.
Answer:
how much does each box cost?
Step-by-step explanation:
please help me with this sum
Answer:
First column 107
Second Column 135
Third Column 104
Fourth Column 109
Fifth Column 160
Is this what you were needing? A sum of the numbers in each column?
Please allow me to know if I helped by clicking thank you, rating or brainly.
Miss Hawaii
The function y = 5.75 + 2.5(x - 2) can be used to determine cost in dollars to rent a house of x square feet. What is the rate of change of the cost in dollars with respect to the number of square feet?
The rate of change is given by the coefficient of x in the cost function. Hence, the rate of change of cost in the function is 2.5
Given the cost function :
y = 5.75 + 2.5(x - 2)Expanding the function and expressing in slope intercept form:
y = 5.75 + 2.5x - 5
y = 2.5x + 2.75
Therefore, the slope of the function is 2.5 ; which ubsthe rate of change of the cost function.
Learn more :https://brainly.com/question/18112348
write an equation of the line passing through the point( 3, -1) and parallel to the line y=2/3 x-5
Answer:
[tex]y = \frac{2}{3} x - 2[/tex]
Step-by-step explanation:
find The y-intercept
[tex] - 1 = \frac{2}{3} (3) + b \\ - 1 = 1 + b \\ b = - 2 \: \: \: \: y - intercept[/tex]
The equation of the line
[tex]y = \frac{2}{3} x - 2[/tex]
solve the following inequality for n -5n+6≥-7(5n-6)-6n
Answer: The inequality is: n ≥ 36/37
Step-by-step explanation:
Let's solve your inequality step-by-step.
n − 5n + 6 ≥ −7(5n−6)−6
----------------------------------------------------------------------------------------------------------------
Step 1: Simplify both sides of the inequality.
−4n + 6 ≥ −41n + 42
----------------------------------------------------------------------------------------------------------------
Step 2: Add 41n to both sides.
−4n + 6 + 41n ≥ − 41n+ 42 + 41n
37n + 6 ≥ 42
----------------------------------------------------------------------------------------------------------------
Step 3: Subtract 6 from both sides.
37n + 6 − 6 ≥ 42 − 6
37n ≥ 36
----------------------------------------------------------------------------------------------------------------
Step 4: Divide both sides by 37.
37n/37 ≥ 36/37
n ≥ 36/37
----------------------------------------------------------------------------------------------------------------
Answer:
n ≥ 36/37
Source: https://www.mathpapa.com/calc.html?q=x+y%3D7%2C%20x+2y%3D11
, Hope this helps :)
Have a great day!!
solve pls brainliest
Hey there!
39 = - u / 6
MULTIPLY 6 to BOTH SIDES
39(9) = (-u / 6)(6)
CANCEL out: the RIGHT side
KEEP: the LEFT side because it helps solve for the u-value
NEW EQUATION: -u = 234
DIVIDE -1 to BOTH SIDES
-1u / -1 = 234 / -1
CANCEL out: -1 / -1 because it gives you 1
KEEP: 234 / -1 because it gives you the result of the u-value
NEW EQUATION: u = 234 / -1
SIMPLIFY IT!
u = -234
Therefore, your answer is: [u = -234]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
-234
[tex]u = ( - 6) \times 39 = - 234[/tex]
needing help with fraction problem
4/11 - 10/8 equals?
having trouble breaking it down to get the answer
Answer:
71/44
Step-by-step explanation:
Here the LCD is the product of the two denominators given: 11*8 = 88.
We rewrite 4/11 as 32/88 and 10/8 as 110/88. Now the denominators are the same.
Combine 32/88 and 110/88. We get the sum 142/88, which reduces to 71/44.
Answer:
-39/44.
Step-by-step explanation:
We need to find the lowest common multiple of 11 and 8.
This is 88.
Now to convert the 2 fractions to denominator 88 we multiply first by
8/8 and the second by 11/11:
4/11 - 10/8
= 32/88 - 110/88
= -78/88
= -39/44
Which 2 of the following statements are TRUE about predicting WHAT HAPPENS AT 6 HOURS of babysitting? Select the TWO statements that are accurate.
A.
At 6 hours, the total cost for babysitting will be $60.
B.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RISE/RUN to move to the point at hour 6.
C.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RUN/RISE to move to the point at hour 6.
D.
At 6 hours, the total cost for babysitting will be $70.
Answer:
c and d
Step-by-step explanation:
i took the test those are the correct answers
Find the area of a circle with a diameter of 18 inches. Use 3.14 for pi.
Answer:
254.34
Step-by-step explanation:
A=pi*r^2
A=3.14*9^2
A=3.14*81
A=254.34
six cocker spaniels have a total weight of 192 pounds. Five golden retreivers have a average weight of 71 pounds. what is the average weight of all 11 dogs.
Answer:
23.9lbs or 24lbs
Step-by-step explanation:
This may not be correct so don't bet your first born on it
Ibrahim spends 1/3 of his earnings on food and 1/4 on clothes. He then saves the rest.what fraction does he (a) spend altogether (b)save 1 What fraction does he (a) spend altogether (b) Save?
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The formula for adding two fractions:
= a/b + c/d
= (ad + bc) / cd
The fraction spent altogether on food and clothes is 7/12.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Fraction of earnings spend on food:
= 1/3
Fraction of earnings spend on clothes:
= 1/4
Fraction of total spending on food and clothes.
= 1/3 + 1/4
= (4 + 3) / 12
= 7/12
The formula for adding two fractions:
= a/b + c/d
= (ad + bc) / cd
Fraction of earnings saved after spending on food and clothes.
= 1 - 7/12
= (12 - 7) / 12
= 5/12
Thus,
The fraction spent altogether on food and clothes is 7/12.
Learn more about fractions here:
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