-3a - 4(a - 6) = 24 - 7a
Solve the equation
Thanks
Answers
-3a-4(a-6)=24-7a
-3a-4a+24=24-7a
-7a+24=24-7a
-7a+24=-7a+24
-7a+24-24=-7a+24-24
Simplify
Subtract the numbers
Subtract the numbers
−7a=-7a
Add 7a to both sides of the equation
-7a+7a =-7a+7a
Simplify
Combine like terms
Combine like terms
0=0
answer is 0=0
Related Questions
Is this table a function
Answers
Answer:
Yes.
Step-by-step explanation:
6x + y = 8
y= -6x + 8
Answers
Answer:
y = -6x + 8
Step-by-step explanation:
\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}
I don't know why it came out like this
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
Answers
The area of the shaded region is equal to 45 square units.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
A represent the area of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the area of a rectangle, we have the following;
Area of rectangle = 8 × 6
Area of rectangle = 48 square units.
Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;
L₁ = 8 - 5 = 3 units.
L₂ = 6 - 4 = 2 units.
Area of right triangle = 1/2 × 3 × 2
Area of right triangle = 3 square units.
For the area of the shaded region, we have:
Area of the shaded region = 48 square units - 3 square units.
Area of the shaded region = 45 square units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
WILL MARK BRAINLYIST
Answers
Answer:
Not sure, might 360 degrees
Step-by-step explanation:
straight angles are 180%, and the sum of the angles in a triangle are 180.
3 times 180= 540 (technically you don't need to know that)
3-1=2, and 2*180=360
• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Answers
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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The total number of atoms represented by Cd(CH₂CICO₂)2 is:
O a) 13
Ob) 16
O c) 17
Od) 15
Oe) 14
Answers
The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
What is addition?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.
Cd(CH₂CICO₂)₂ contains:
1 cadmium (Cd) atom
2 carbon (C) atoms
6 hydrogen (H) atoms
4 oxygen (O) atoms
2 chlorine (Cl) atoms
Adding these up, we get:
1 + 2 + 6 + 4 + 2 = 15
Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
The answer is (D) 15.
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Craig’s Computer Supply Shop sells color ink printer cartridges for $24.99 and black ink printer cartridges for $14.99. Last week the store sold a total of 27 ink cartridges. If the sales income for these items was $514.73, not including tax, which of these conclusions is reasonable?
A.) There were more black ink cartridges than color ink cartridges sold last week.
B.) There were more color ink cartridges than black ink cartridges sold last week
C.) The total sales income, not including tax, for color ink cartridges was $399.84
D.) The total sales income, not including tax, for black ink cartridges was $164.89
Answers
There were more color ink cartridges than black ink cartridges sold last week. Therefore, option B is the correct conclusion.
What is system of equation?A system of equations, sometimes referred to as an equation system or a set of simultaneous equations, is a finite set of equations for which we searched for common solutions. Variables are related to one another specifically in each equation in a system of equations. To discover a set of variable values that satisfy each equation, the equations can be solved simultaneously.
In everyday situations where the unknown values can be represented as variables, a system of linear equations is used to model the problem. Many techniques, including substitution, elimination, graphing, etc., are used to solve systems of equations.
Let us suppose the number of color ink cartridges sold = x.
The number of color ink cartridges sold = y.
Thus,
x + y = 27
24.99x + 14.99y = 514.73
Multiplying the first equation by 24.99 and subtracting it from the second equation multiplied by 100, we get:
1499y = 1813
y ≈ 1.21
Substituting y back into the first equation, we get:
x ≈ 25.79
Hence, there were more color ink cartridges than black ink cartridges sold last week. Therefore, option B is the correct conclusion.
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if 100 kids = 40%, how many kids =100%
Answers
Answer:
The answer is 250 kids
Step-by-step explanation:
Please give me brainlest
Answer:
250
Step-by-step explanation:
If 100 kids is 40%, then 200 kids (twice as much) is 80%. 20% (what's remaining) is half of 40%, so it is also half of 100; 50. Add that together, 250 kids.
Madison's checking account had a balance of - $45. Then she wrote a check to pay her utility bill for $34. Write an expression to represent Madison's situation.
Answers
Part 2 out of 2
Heather's mom says that they would save more than $100 if they buy tickets for their family on opening
weekend. Do you agree or disagree with Heather's mom? Complete the explanation of how to find how
much they would save.
You ? v with Heather's mom.
The regular price tickets would cost them $80 x 4 people, which equals $
The discounted tickets would cost them $ * 4 people, which equals $224.
To find the difference subtract the discounted tickets total $224 from the regular price tickets total $
which equals $
They would save
which is less than $100.
Next
✓ Check
Next
? A
А
Question 18 of 21
Answers
Answer:
i agree I can't really explain why though sorry
Heather's mom's estimation is wrong, as they will only save $96.
What is a percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, The special price for the amusement park ticket costs $56. This is 70% of the regular price, Heather's mom says that they would save more than $100 if they bought tickets for their family on opening weekend.
Let the original price of the ticket be x,
70% of x = 56
x = 56x100/70
x = 80
That means, the regular price is $80
On a regular day, ticket will cost = 80x4 = $320
On the special ticket price cost = 56x4 = $224
The saved priced = 320-224 = $96
Hence, Heather's mom's estimation is wrong, as they will only save $96.
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Find the common difference.
-4. - 20. - . -2, - , - ....
Plz help me ?????????
Answers
A system of equations is shown below.
Equation A: 4x - y = -5
Equation B: x + 2y = 1
Which method eliminates one of the variables?
1.
Multiply equation A by 2 and add the result to equation B.
2.
Multiply equation B by 4 and add the result to equation A.
3.
Multiply equation A by 2 and equation B by 4, and add the results toge
4.
Multiply equation B by 2 and equation A by 4, and add the results toge
Answers
Answer:
this one has to be answer 1
Step-by-step explanation:
4x - y = -5
x + 2y =1
8x - 2y = -10
x + 2y = 1
9x = -9
What is the area, in square feet, of the shape below? Express your answer as afraction in simplest form.
Answers
Answer: 1/20 sq. ft.
The formula for the Area of a Triangle is:
\(A=\frac{1}{2}bh\)Where:
A is the Area
b = base
h = height
From the given figure, we know that:
b = 1/2 ft
h = 1/5 ft
Substitute these values to the equation to solve for the Area
\(A=\frac{1}{2}bh\)\(A=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{5}\)*In multiplying fractions, we multiply all the numerators together, and we multiply the denominators together
\(\begin{gathered} A=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{5} \\ A=\frac{1\times1\times1}{2\times2\times5} \\ A=\frac{1}{20}ft^2 \end{gathered}\)Therefore, the area of the given shape is 1/20 sq. ft.
What is 2x+18 factored
Answers
Answer:
2(x+9)
Step-by-step explanation:
2x+18
find the common number which can fit into 2x and 18
in this case the number is 2
so; 2(x+9)
Answer:
2(x+9)
Step-by-step explanation:
2x+18
18/2 =9
2/2=1
so we can factor the 2
2(x+9). (invisible 1 infront of the x)
find two functions f and g
a. f(x) =
b. f(x) =
Answers
The functions f and g are:
a. f(x) = 1/x
b. g(x) = x + 2
a) To find two functions f and g such that (fog)(x) = 1/(x + 2), we need to determine how the composition of the two functions f and g produces the given expression.
Let's start by assuming g(x) = x + a, where a is a constant. This means that g(x) adds the constant a to the input x.
Next, let's determine the function f(x) such that (fog)(x) results in the desired expression. We have:
(fog)(x) = f(g(x)) = f(x + a)
b) To simplify the expression 1/(x + 2) and make it match f(g(x)), we can consider f(x) = 1/x.
Substituting the expressions for f(x) and g(x) into (fog)(x), we have:
(fog)(x) = f(g(x)) = f(x + a) = 1/(x + a)
Comparing this with the desired expression 1/(x + 2), we see that a = 2. Therefore, the functions f and g are:
a. f(x) = 1/x
b. g(x) = x + 2
Using these functions, we can verify the composition (fog)(x):
(fog)(x) = f(g(x)) = f(x + 2) = 1/(x + 2)
Thus, (fog)(x) = 1/(x + 2), which matches the desired expression.
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Answer this correctly I'll give brainalist + 10 points
Answers
Answer:
55
Step-by-step explanation:
The line is 180 and 180-125=55
Please Help Me, I’d Really Appreciate It.
Write the following fraction as a decimal: 2/5
0.25
2.5
0.4
4.0
Answers
Answer:
It's 0.4
Step-by-step explanation:
2/5 = 40/100 = 4/10 = 0.4
Hope that helps :)
4. Two student groups are working on the school yearbook. They printed two batches of pages on a printer in the computer lab. The table below shows the number of pages printed by each group and the time needed to print the pages. Time in Seconds (x) 30 20 Number of Pages (y) 150 130 Write ratios for the two print jobs in the form . Do the data represent a proportional relationship? Explain.
Answers
Answer:
The ratio for the first print job is 150/30 = 5 pages per second.
The ratio for the second print job is 130/20 = 6.5 pages per second.
Since the ratios are different, the data do not represent a proportional relationship. In a proportional relationship, the ratio between two variables remains constant.
Step-by-step explanation:
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Answers
Let's assume that B can do the job alone in x days.
Then, according to the question, A can do the same job alone in (1/3)x days.
Also, we know that A takes 60 days less than B to finish the job, so:
(1/3)x = x - 60
Solving for x, we get:
x = 90
Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.
To find out how long they take to finish the job together, we use the formula:
(AB)/ (A+B)
where AB is the product of their individual times and A+B is their combined time.
Plugging in the values, we get:
(30 * 90)/(30+90) = 22.5
Therefore, working together, they can finish the job in 22.5 days.
Answer: Option B - 22.5 days
Sorry if the quality is blurry
Answers
Answer:
False,False,False and last one is true
Which transformation
Answers
The following rigid transformations are done on each figure:
The figure B is the consequence of rotating figure A about the origin either 90° clockwise or 270° counterclockwise. (Correct choice: A)The figure B is the consequence of rotating figure A about the origin either 90° counterclockwise or 270° clockwise. (Correct choice: D)What kind of rigid transformation is done on the given figure?We find two pictures, each with one case of rigid transformation done on a polygon. Rigid transformations are transformations done on geometric loci such that Euclidean distance at every point of the loci are conserved.
If we consider that the Euclidean distance is the radial distance with respect to the origin of the Cartesian plane, then we find the rigid transformation corresponding to each case:
The figure B is the consequence of rotating figure A about the origin either 90° clockwise or 270° counterclockwise.The figure B is the consequence of rotating figure A about the origin either 90° counterclockwise or 270° clockwise.To learn more on rigid transformations: https://brainly.com/question/1761538
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Solve 2x +7y = 4 for y
Answers
Answer:
y = 4/7 - 2/7x
Step-by-step explanation:
Hope it's correct :D
I am lost please help thank you all
Answers
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
Explain how you know that (3, 5) is not a solution to the given inequality by looking at the graph.
Answers
The reason that the point (3, 5) is not a solution to the given inequality is given below.
We are given that;
y > 2x + 1
Now,
The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.
If we have (3,5) as a point, we can see that it lies on the boundary line
y = 2x + 1.
Since the inequality is strict (y >), points on this line are not solutions to the inequality
Therefore, by the inequality the answer will be given above.
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The table shows the relationship between the time and distance a car travels. What is the missing value?
Answers
9514 1404 393
Answer:
220
Step-by-step explanation:
When the relationship is proportional, there are several ways you can find missing values. One of them is to recognize the distance for 4 hours will be double the distance for 2 hours.
2 hours : 110 miles
4 hours : 2×110 miles = 220 miles
When 3 is added to a number, and the result is multiplied by 5, you obtain two times the number
Answers
Hi
to solve you must transcrive every word in math terms correctly.
so let's first give a name to our mysterious number. As you know, in math we generally call unknown by letter. " X"
so let's now play the detective.
what do we know on " X" ?
we add 3 to X so we have : X+3
then we multiply by 5. so. ( X+3) *5 .
if we do that we have twice X , so 2X
so ( X+3) * 5 = 2 X
now that we have translatted our data in math term, let's unmask. " X"
( X+3) *5 = 2X
5*X +3*5 = 2X
5X +15 = 2X
5X-2X = -15
3X = -15
X = -15/3
X = -5
So is " -5" is our guy.
let's check it out to be sure .
-5 +3 = -2
-2*5 = -10
-10 is twice -5. so -5 is the correct answer.
Ps : some operation are commonly implied. if you do not. know how I could write some line in the calculus, dont hesitate to ask in comments.
There is no mysteries in math everything is done according to rules and can be explained. So don't hesitate !
1. In a geometric series with first term, a and common ratio, r (where r is real and r#1), the sum of the first 7 terms is 4 times the sum of the following 7 terms. Find the ratio of the sum of the first 21 terms to the sum of the first 14 terms.
Answers
9514 1404 393
Answer:
21/20
Step-by-step explanation:
Let Sa, Sb, and Sc represent the sums of the first 7 terms, the next 7 terms, and the 7 terms following that. The problem statement tells us ...
Sa/Sb = 4/1
We know from the nature of geometric series that this means ...
Sb/Sc = 4/1
Then the desired ratio is ...
S21/S14 = (Sa +Sb +Sc)/(Sa +Sb) = (Sa +Sa/4 +(Sa/4)/4)/(Sa +Sa/4)
= (1 +1/4 +1/16)/(1 +1/4) = (16 +4 +1)/(16 +4) . . . . factor out Sa; multiply by 16/16
S21/S14 = 21/20
Use the diagram to find the angle measuresof the triangle. Recall that the sum of theangle measures of a triangle is 180°3x(x+5)*Xº =(x+5)° = Dº3xº =
Answers
Answer:
x = 35 degrees
x + 5 = 40 degrees
3x = 15 degrees
Explanation:
Given that the angle measures of a triangle is 180 degrees, we have
3x + (x + 5) + x = 180
3x + x + 5 + x = 180
5x + 5 = 180
Subtract 5 from both sides
5x + 5 - 5 = 180 - 5
5x = 175
Divide both sides by 5
5x/5 = 175/5
x = 35 degrees
x + 5 = 35 + 5 = 40 degrees
3x = 3(5) = 15 degrees
Help and explain to me if it did form one!
Answers
You can determine whether a triangle can be formed out of the given side lengths if two the side lengths added up is greater than the third side length in all cases
2 + 4 > 5
4 + 5 > 2
2 + 5 > 4
So you can form a triangle with these side lengths.
Hope that helps!
Answer:
Yes, it will be an Isosceles triangle
Please mark as brainliest
what is the answer for 6x + 3(x-2)
Answers
Answer:
9x - 6
Hope this helps! <3
(If you need a step by step lmk)
Answer:
6x+3(x-2)
6x+3x-6
9x-6