Answer:
\(4b + 2m = 2(2b + m)\)
Step-by-step explanation:
Given
\(4b + 2m\)
Required
Write an equivalent expression
To do this, we simply write \(4b + 2m\) as a product of two factors.
Express 4b as 2 * 2b
\(4b + 2m = 2 * 2b + 2m\)
Express 2m as 2 * m
\(4b + 2m = 2 * 2b + 2 * m\)
Factor 2 out of the expression:
\(4b + 2m = 2 *(2b + m)\)
\(4b + 2m = 2(2b + m)\)
Hence:
An equivalent expression is: \(2(2b + m)\)
Please help I’m very confused
Answer:
C. 21 1/9
Step-by-step explanation:
6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9
What is the approximate value of the function at x = 6?
Answer:
about 3/4
Step-by-step explanation:
To tell what the y value of a certain x value will be is very simple if we have a graph--you can just look at the portion of the graph where x = 6. At that point, it appears to be 3/4 ish on the y-axis
help i dont know what this means
The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
12+26x=64
Step-by-step explanation:
64-12=52
52/2=26
$26 per pass
equation 12+26x=64
x=2 in this case x is representing the number of passes
12 is the ticket
and 64 is total cost
The cost of a movie ticket is $9.75, which is $36.25 less than a ticket to go to a concert. What is the cost of a ticket to the concert?
Answer: $46
Step-by-step explanation:
1. The solid line is the parent function, f(x). Which of the following dotted line graphs shows the translation f(x) = f(x - 1)?
Solution
Therefore the dotted line graphs shows the translation f(x) = f(x - 1)
\(f(x)=2x-3\)The dotted line here is the green line
Jim has to choose between two gym membership plans. Plan A: $50 monthly membership fee and $10 per visit. Plan B: $25 one time membership fee and $15 per visit. How many visits must Jim make to make Plan A the cheaper option?
How many visits for them to cost the same?
Answer:
Plan B is better than Plan A as B is cheaper than A.
Since we have given that
Plan A consist of :
Amount for monthly membership fee = $50
Cost per visit = $10
Equation of total fees would be
Plan B consist of :
Amount for monthly one time membership fee = $25
Cost per visit = 15
Equation of total fees would be
Here , x denotes the number of visits.
Let us suppose x = 1
Then , fees for plan A would be
Fees for plan B would be
Hence, Plan B is better than Plan A as B is cheaper than A.
Determine the x- and y-intercepts of the graph of x+2y=−4 .
Then plot the intercepts to graph the equation.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
Answer:
Step-by-step explanation:
1) first we find the x and y intercepts. Remember the intercepts are where x=0 and y=0
2) To find the x-intercept, substitute y = 0 and solve for x.
given equation: x +2y= -4
then substitute y=0 so
x+ 2(0) = -4 -> any number multiplied by 0 it will always equal zero
then, it will be x=-4
the coordinates will be (-4,0)
3) To find the y-intercept, substitute x =0 and solve for y.
given equation: x +2y= -4
then substitute x=0 so
(0)+ 2y = -4 -> x disappears since is zero
then, it will be 2y=-4
then we multiply by 2 :
2y/2 = -4/2
y=-2
the coordinates for the y-intercept will be (0,-2)
graph:
Patel made a deposit into an account that earns 5%simple interest. After 10 years Patel had earned $1500 in interest. How much was Patel’s initial deposit?
Answer:
Patel’s initial deposit was $3000
Step-by-step explanation:
Given:
Simple interest (S.I.) = 5%
Time period (t) = 10 years
Interest earned (r) = $1500
To find: Patel’s initial deposit
Solution:
Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.
Let p denotes original amount of a loan
\(S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000\)
So, Patel’s initial deposit was $3000
which of the following polynomials have no roots?
Write as the opposite of a square root. -3√5
The value of -3√5 as the opposite of the square root is -75.
What in mathematics is a square root?
The factor we can multiply by itself to obtain a given number is the number's square root.
Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.
-3√5
The opposite of the square root is the square, so,
-3√5 = -3 × 5²
-3√5 = - 3 × 25
-3√5 = - 75
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Which points are on the axes 5 units from the origin?
A. I, J, P
B. E, X
C. E, P
D. J, E
Answer:
b) x,e
Step-by-step explanation:
only look at points on the axies and look for which are only 5 points away
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
x = 42
y = 21
Step-by-step explanation:
Since its a right triangle, we have:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
\(sin (60) = \frac{21\sqrt{3} }{x} \\\\x= \frac{21\sqrt{3} }{sin (60)} \\\\x= \frac{21\sqrt{3} }{\frac{\sqrt{3} }{2} } \\\\x = \frac{21\sqrt{3} *2 }{\sqrt{3} } \\\\x = 21*2\\\\x = 42\)
\(cos (60) = \frac{y}{x}\\\\cos (60) = \frac{y}{42}\\\\y = cos (60)*42 \\\\y = \frac{1}{2} * 42\\\\y = 21\)
HELP FASTER WILL GIVE BRAINLIEST!!!!!!!!! NOTICE ITS + AND THEN - IN EQUATION NOT TWO +, SO D ISNT CORRECT!!!!!!
Identify the correct graph of the system of equations.
3x + y = 12
x − 4y = 4
The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12.
The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12.
The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
The correct graph of the system of equations 3x + y = 12 and x - 4y = 4 is:
The graph shows a line with an x-intercept at (4, 0) and a y-intercept at
(0, -1). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 12).
We have,
To graph the system of equations 3x + y = 12 and x − 4y = 4, we first need to rearrange them in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept:
3x + y = 12 => y = -3x + 12
x - 4y = 4 => y = (1/4)x - 1
Now we can see that the first equation has a slope of -3 and a y-intercept of 12, while the second equation has a slope of 1/4 and a y-intercept of -1.
Now,
The x-intercept is when y = 0.
So,
3x + y = 12
3x = 12
x = 4
And,
x - 4y = 4
x = 4
Thus,
The correct graph of the system of equations 3x + y = 12 and x - 4y = 4 is:
The graph shows a line with an x-intercept at (4, 0) and a y-intercept at
(0, -1). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 12).
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Please answer this correctly without making mistakes
Answer:
3/11
Step-by-step explanation:
There are eleven equal parts.
So the denominator is 11.
He copies 8 parts on Sunday.
11-8=3.
He copied 3 parts on Saturday.
Hope this helps ;) ❤❤❤
A recipe for punch requires 20 grams of drink mix for 5 liters.
How many grams of drink mix are needed per liter of water?
Get it right please.
A zoologist recorded the speed of two cheetahs. Cheetah A ran 17 miles in 8 minutes. Cheetah B ran 56 miles in 20 minutes. Which statement is correct?
Cheetah A has a higher ratio of miles per minute than Cheetah B because 17 over 8 is less than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is greater than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20.
Both cheetahs have the same ratio of miles per minute.
The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."
also "get it right please" ?! how rude
On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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Jasmine is solving math problems. She solves 3 math problems (m) in 12 minutes. Write an equation that Jasmine can use to find time (t) that takes to solve 6 problems
a.t=12m
b.m=12t
c.t=4m
d.m=4t
e.t=2m
fm=2t
What is the maximum number of games Dee can buy from Taylor's Department Store if he wants to keep his total cost to no more than $150? Show your work. (Goal 9) .
We assume the next variables
x=number of games
y= cost per one game
the inequality is
\(xy\le150\)the sign equal less than is used in this inequality because the total cost can't be more than 150
in order to know how many games she can buy, we need to isolate x
\(x\le\frac{150}{y}\)If y= 20 for example
\(\begin{gathered} x\le\frac{150}{20}= \\ x\le7.5 \end{gathered}\)she can buy 7 games if the cost per game is 20
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
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A 15 meter long cylinder with a diameter of 7 meters has a square prism with a base length of 4 meters hole going all the way through the center of it as shown in the diagram (not to scale). Find the volume of the composite shape rounding to the nearest cubic meter.
Answer:
The volume of the composite figure is approximately 337.27 m³
Step-by-step explanation:
The given parameters are;
The length of the cylinder, L = 15 meters
The diameter of the cylinder, D = 7 meters
The base length of the square prism, B = 4 meters
We note that the square diagonal of the square = √(4² + 4²) = 4·√2 ≈ 5.66 meters, fits in the cylinder
Therefore, we have;
The volume of the composite figure = The volume of the cylinder - The volume of the square prism
The volume of the cylinder = π/4 × D² × L = π/4 × 7² × 15 ≈ 577.27 m³
The volume of the square prism = B² × L = 4² × 15 = 240 m³
∴ The volume of the composite figure ≈ 577.27 m³ - 240 m³ ≈ 337.27 m³
The volume of the composite figure ≈ 337.27 m³.
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
The graph shows a distribution of data,
What is the standard deviation of the data?
O 0.5
© 1.5
O 2.0
2.5
1.5
2
2.5
3
Answer:
The graph shows a distribution of data.
A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.
What is the standard deviation of the data?
0.5 <<<------- CORRECT ANSWER
1.5
2.0
2.5
Step-by-step explanation:
EDGE 2021
The standard deviation of the data is,
σ = 0.5
What is an expression?An expression which is defined as the collection of the numbers, variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.
Now,
We have in the graph, there is bell-shaped along x =2.
Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.
Since, The graph is symmetric around x = 2,
Hence, the mean of the data is 2.
And, The point immediate left to the mean represented by x - σ
Hence, We get;
2 - σ = 1.5
So,
σ = 0.5
Thus, The sigma represents standard deviation.
σ = 0.5
Hence, Option A is correct.
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How is the input force different from the output force? Responses The input force is all of the energy applied to the situation, and the output force is the result. The input force is all of the energy applied to the situation, and the output force is the result. The input force is applied to the problem, and the output force is the movement that results. The input force is applied to the problem, and the output force is the movement that results. The output force is applied to the simple machine, and the input force is the force the simple machine applies to an object. The output force is applied to the simple machine, and the input force is the force the simple machine applies to an object. The input force is applied to the simple machine, and the output force is the force the simple machine applies to an object. also this is 29pts
By Newton's third law, we can see that the correct option is:
" The input force is applied to the simple machine, and the output force is the force the simple machine applies to an object."
How the input and output forces differ?
By Newton's third law, we know that if a object A exerts a force on object B, then the object B exerts a force of equal magnitude and opposite direction in object A.
The input force in that case would be the one done by object A, and the output force is the one that object B does as a reaction.
With that in mind, we can see that the correct option will be:
" The input force is applied to the simple machine, and the output force is the force the simple machine applies to an object."
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7 ft equal how many inches
Answer:
Step-by-step explanation:
There is 12 inches in a foot: therefore, 12inches x 7ft. = 84 ft.
Answer: 84 inches
Step-by-step explanation:
A conversion factor is a number that is used to multiply or divide one set of units into another. For instance, 12 inches equals one foot when converting between inches and feet.
Since 1 foot = 12 inches
And we are trying to figure out how much inches are in 7 ft.
We can create a conversion (or cross multiply)
\(\frac{12}{1} =\frac{x}{7}\)
Where inches are in the numerator and ft are in demoninator.
When cross multiplying (multiplying in a diagonal) you get:
x = 84 inches
So 7 ft equals 84 inches.
---
A quicker method would be to multiply 7 ft by 12 inches/1 ft (foot), and get 84 inches.
--
12 in.
10 in.
2 in.
7 in.
21 in.
What’s the volume
The required volume of the given rectangular prism is given as 240 in ³.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in
The volume of the rectangular prism = length × width × height
= 12 × 2 × 10
= 240 in ³
Thus, the required volume of the given rectangular prism is given as 240 in ³.
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The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "
what is the product of -3 and 5
it's on engenuity so I need answer
Answer.........
-15
.______.
Difference between the two sets
\( \\ \\ \)
Let A = {1, 2, 3, 4, 5, 6, 7} B = {1, 3, 5, 7, 9} C = {0, 2, 4, 6, 10} Find the difference of the given pair of sets.
1.) A - B
2.) B - A
3.) (A ∪ B) - C
Answer:
1) A - B = {2, 4, 6}
2) B - A = {9}
3) (A ∪ B) - C = {1, 3, 5, 7, 9}
Step-by-step explanation:
Set Notation
\(\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}\)
Given sets:
A = {1, 2, 3, 4, 5, 6, 7}B = {1, 3, 5, 7, 9}C = {0, 2, 4, 6, 10}Question 1
\(\begin{aligned}\sf A-B & =\sf \{ 1, 2, 3, 4, 5, 6, 7 \} - \{1, 3, 5, 7, 9 \}\\& =\sf \{ 2, 4, 6 \}\end{aligned}\)
Question 2
\(\begin{aligned}\sf B-A & =\sf \{1, 3, 5, 7, 9 \} - \{ 1, 2, 3, 4, 5, 6, 7 \}\\& =\sf \{9 \}\end{aligned}\)
Question 3
\(\begin{aligned}\sf (A \cup B)-C & =\sf \left(\{ 1, 2, 3, 4, 5, 6, 7 \} \cup \{1, 3, 5, 7, 9 \} \right) - \{0, 2, 4, 6, 10 \}\\& =\sf \{ 1, 2, 3, 4, 5, 6, 7, 9 \} - \{0, 2, 4, 6, 10 \}\\& = \sf \{ 1, 3, 5, 7, 9 \}\end{aligned}\)
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Magda works at a charity for homeless people.
She needs to make lunch for 15 people.
Magda knows this rule to find the amount of rice she needs to cook.
Magda thinks she needs to cook 10 cups of rice for 15 people.
Is Magda correct?
Answer:
yes
Step-by-step explanation:
if their is no explaining the best choice would be yes
1. A rectangle has a length of 5cm and a height of 4cm.
a. Find the area of the rectangle
b. Find the perimeter of the rectangle.
c. A scale factor of .5 is used to reduce the rectangle. What is the new area?
d. A scaled factor of 2 is used to increase the triangle. What is the new area?
Answer:
a
20cm squared
b
18cm
c
5cm
d
80cm
Step-by-step explanation:
a
Area is height multiplied by length in a regular quadrilateral
b
Perimeter is calculated by adding all the sides together
c
0.5 is effectively halving, so instead of 4 multiplied by 5 it is 2 multiplied by 2.5
d
2 is effectively doubling, so instead of 4 multiplied by 5 it is 8 multiplied by 10
Answer:
20 cm²18 cm5 cm²80 cm²Step-by-step explanation:
Q1(a)
Area = length x heightArea = 5 x 4Area = 20 cm²Q1(b)
Perimeter = 2(length + height)Perimeter = 2(5 + 4) = 2(9)Perimeter = 18 cmQ1(c)
New dimensions are : 5/2 = 2.5 and 4/2 = 2New Area = 2.5 x 2New Area = 5 cm²Q1(d)
New dimensions are : 2 x 5 = 10 and 2 x 4 = 8New Area = 10 x 8New Area = 80 cm²