Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
I am rin pre-K and there givrung us math I can’t doe
Answer:
since your in pre-k bud x+y+z = abc :)
Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc
this is totally correct:)
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
Lawrence purchased a used pickup truck for $16,550 by paying cash. If he had financed the truck with an installment plan, he would have had to pay a $3,000 down paymentand 48 monthly installments of $390. How much did he save by paying cash?$4,850$6,790$7.240$5,170None of these choices are correct.
Lawrence purchased a used pickup truck for $16,550 by paying cash. If he had financed the truck with an installment plan, he would have had to pay a $3,000 down payment
and 48 monthly installments of $390. How much did he save by paying cash?
$4,850
$6,790
$7.240
$5,170
None of these choices are correct.
we have that
3,000+48(390)=$21,720 ----> If he had financed the truck with an installment plan
Find out the difference
21,720-16,550=$5,170
therefore
answer is $5,170Write an expression for the area of the shaded region in its simplest form. Show all of your steps.
Answer:
\( {x}^{2} - + 23x + 49\)
My solvation is on the picture i hope it helps and brainliest if correct.
which expression is equivalent to - iz q(-60r + 24q) – 8r(5q + r)?
A 2q2 - 35gr + 8r?
B-2q2 - 45gr + 8r2
© 292-45gr - 8r2
D-2q2 - 35gr - 8r2
Answer:b
Step-by-step explanation:
2x + 3y = 11
2x - 9y = -1
Answer :Solve 2x 3y 11 and 2r - 4y24 and hence find the value of 'm' for which yemx+3. alu
Sketch a graph of
What is the orientation of the graph?
It is impossible to sketch a graph or determine the orientation of the graph.
Without a specific function or data set provided, it is impossible to sketch a graph or determine the orientation of the graph. The orientation of a graph refers to the direction of the graph and can be described as either increasing or decreasing.
In order to sketch a graph, we must first have a set of data points or a function to plot. Once we have the necessary information, we can plot the points or graph the function and then determine the orientation of the graph.
To determine the orientation of a graph, we look at the direction of the graph as we move from left to right. If the graph is moving upward as we move from left to right, then the orientation is increasing.
If the graph is moving downward as we move from left to right, then the orientation is decreasing. If the graph is neither increasing nor decreasing, then the orientation is said to be undefined.
In summary, the orientation of a graph is determined by the direction of the graph as we move from left to right. Without a specific function or data set provided,
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Penelope is taking a multiple choice test with a total of 40 points available. Each
question is worth exactly 5 points. What would be Penelope's test score (out of 40) if
she got 3 questions wrong? What would be her score if she got x questions wrong?
Answer:
1) 62.5%
2) 8-x/8=y/100 (where y is the percent)
Step-by-step explanation:
1) so there’s 8 questions in total cause each question si 5 points and 40 points is the max so 40/5=8
write a proportion where 8-3/8=y/100 (it’s 8-3 because it’s total question minus the wrong questions and you’ll get the remaining points and put it over a hundred since the max score you can get is a hundred.
so 5/8= y/100
cross multiply
500=8y
Divide 8 on both sides
you’ll get 62.5
2) Jist use the equation 8-x/8=y/100
( where x is the wrong amount of questions and y is the total percent)
Answer:
1st Question the answer is 25/40
2nd Question the answer is 40-(x*5)=answer
Step-by-step explanation:
1st Answer: Multiply 3 questions by 5 points and subtract that answer from 40 and that gives us the final answer -25-
two numbers are the multiplicative inverse of each other if their product is
Answer:
the product is 1
Step-by-step explanation:
if you have any number, its multiplicative inverse is 1/ that number
for example 23 has multiplicative inverse 1/23 if you calculate the product you will simplify and always get 1 as a result.
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 seconds while the displayed yellow time is 5 seconds. The effective red time is 37 seconds and the total lost time per cycle for the movement is 4 seconds. What is the displayed green time for the traffic movement
Answer:
the displayed green time for the traffic movement is 30 seconds
Step-by-step explanation:
Given the data in the question;
Cycle length; C = 70 seconds
Displayed all-red time; AR = 2 seconds
Displayed yellow time; Y = 5 seconds
Effective red time; r = 37 seconds
total lost time per cycle; \(t_L\) = 4 seconds
the displayed green time for the traffic movement; G = ?
First we determine the Effective green time ( g );
Effective red time; r = Cycle length; C - Effective green time ( g )
so,
Effective green time ( g ) = C - r
we substitute
Effective green time ( g ) = 70 seconds - 37 seconds
Effective green time ( g ) = 33 seconds
Now,
Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; \(t_L\)
i.e
g = G + Y + AR - \(t_L\)
we substitute
33 = G + 5 + 2 - 4
33 = G + 3
G = 33 - 3
G = 30 seconds
Therefore, the displayed green time for the traffic movement is 30 seconds
Please help worth 10 points is this true that line n is perpendicular to line p? I think the answer is C, is this correct or not?
Answer: A
because slope are
If a store marks up merchandise by 40% on cost, what is the markup in dollars on an item costing $80?
How can you use the double number line diagram to find what percent is of ? x y graph Question content area bottom Part 1 Each mark on the top number line increases by enter your response here, so the ▼ third second fourth first mark is . Each mark on the bottom number line increases by enter your response here%. So, enter your response here% of is . (Type whole numbers.)
Here are the steps to use the double number line diagram to find a percentage:
Identify the two sets of values: Draw a double number line diagram: Determine the total value: Determine the known value:Use the double number line to find the unknown value: Calculate the percentage: How to explain the informationIt should be noted that the double number line diagram is a visual tool that is used to represent two equivalent sets of values, and it can be useful to find percentages in a given context.
In this case, the steps are given above.
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I need help on this question
Answer:
Step-by-step explanation:
First off, you need to add up AB and BC. You would get the equation:
2(3x-4)=62, since there are two segments. Solve it/simplfy.
6x-8=62 => 6x=70 => x= 11.66666(forever)
Since you alreday solved one, you easily know the answer is c.
29. Candice and Leila arrived at a birthday party at 5:20 p.m. The party lasted for 3 hours. They then took 20 minutes to arrive home. What time did they arrive home?
Please do both questions.
Ps- don’t ind the pics I drew
If the hand moves from the 12 o'clock position to the 5 o'clock position, it has traveled a distance is 9.5 cm.
What is the circumference of the circle?
The Circumference of a circle is basically the perimeter of the circle. It is given as (2×π×r) or (π×d).
The hand on a circular clock moves along the circumference of the circle, and the length of the circumference of a circle is given by the formula:
C = 2 * π * r
where C is the circumference, π is Pi (approximately equal to 3.14), and r is the radius of the circle.
In this case, the radius of the circle is half the length of the hand, or 12cm / 2 = 6cm.
So the circumference of the circle is:
C = 2 * π * 6 = 12 * π
Since the hand moves from the 12 o'clock position to the 5 o'clock position, it has traveled an angle of 5 * (360/12) = 150 degrees.
To find the distance traveled along the circumference, we need to multiply the circumference by the fraction of the circle traveled, which is equal to the angle in radians divided by 2π.
To convert from degrees to radians, we can use the formula:
radians = degrees * (π / 180)
So, the distance traveled by the hand is:
distance = C * (150 * (π / 180)) / (2 * π) = 12 * (150 * (π / 180)) / 2 = 9.5 cm (rounded to the nearest cm)
hence, if the hand moves from the 12 o'clock position to the 5 o'clock position, it has traveled a distance is 9.5 cm.
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Evaluate the function
g(n) = |n| + 3; Find g(−1)
The volume of a rectangular prism is 2 x cubed + 9 x squared minus 8 x minus 36 with height x + 2. Using synthetic division, what is the area of the base?
The base area of the prism is 2x² + 5x - 18
How to determine the area of the base?From the question, the given parameters are
Volume = 2 x cubed + 9 x squared minus 8 x minus 36
Height = x + 2
Rewrite properly as
Volume = 2x³ + 9x² - 8x - 36
Height = x + 2
The base area is calculated as
Base area = Volume/Height
Using the synthetic division, we have
Set the divisor to 0
x + 2 = 0
This gives
x = -2
So, we have the representation to be
-2 | 2 9 - 8 - 36
Write out 2
So, we have
-2 | 2 9 - 8 - 36
2
Multiply 2 and -2
This gives
-2 | 2 9 - 8 - 36
-4
2
So, we have
-2 | 2 9 - 8 - 36
-4
2 5
Repeat the process
So, we have
-2 | 2 9 - 8 - 36
-4 -10
2 5 -18
Repeat the process
So, we have
-2 | 2 9 - 8 - 36
-4 -10 36
2 5 -18 0
This means that
Base area = 2x² + 5x - 18
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ANSWER FAST!!!
1) which family member ate the most pizza?
2) if the company offered an extra large pizza, how could you find out how much of it a person ate if they cut their own piece with a central angle of M?
1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter
2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°
How to calculate the valueAndy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.
This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.
The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.
2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:
Percentage of pizza eaten = (M° / 360°) * 100%
For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.
Percentage of pizza eaten = (180° / 360°) * 100% = 50%
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A waffle cone is 15 cm tall with a 9 cm diameter opening.
A scoop of ice cream is roughly a 5 cm diameter sphere.
2 How many scoops of ice cream could melt in the cone and
not overflow?
Just 1 (one) scoop of ice cream can melt in the cone and not overflow.
How to calculate how many scoops of ice cream can melt in the coneTo decide the number of scoops of ice cream that may melt within the cone without flooding, we got to calculate the accessible space interior of the cone.
The volume of a cone can be calculated utilizing the equation V = (1/3)πr^2h, where r is the sweep and h is the stature. In this case, the sweep is half of the breadth, so r = 4.5 cm and h = 15 cm.
V = (1/3)π(4.5 cm)^2(15 cm) = 95.04 cm^3 (balanced to two decimal places)
The volume of each scoop of ice cream can be calculated utilizing the condition for the volume of a circle, V = (4/3)πr^3, where r is the span. In this case, the span is half of the breadth, so r = 2.5 cm.
V_scoop = (4/3)π(2.5 cm)^3 ≈ 65.45 cm^3 (adjusted to two decimal places)
To discover the number of scoops that may dissolve within the cone without flooding, we isolate the volume of the cone by the volume of each scoop:
Number of scoops = V_cone / V_scoop ≈ 95.04 cm^3 / 65.45 cm^3 ≈ 1.45
Since we cannot have a division of a scoop, the most extreme number of scoops that may liquefy within the cone without flooding is 1. In this manner, as it were one scoop of ice cream can be suited within the cone without spilling over.
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in the u.s government a memeber if the senate serves for 4 years longer than a member of the House of Representatives. If a member of the House of Representatives serves for h years, write an expression for how many years a member of the senate serves .
A member of the senate will serve for (h+4) years.
An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.
Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.
Also the House of Representatives serves for- h years
Thus, the number of years a member of the Senate will serve will be 4 more than the number h
= h + 4
Thus, a member of the senate serves for (h+4) years.
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Carlotta got to toy museum at 10:19 circle the letter of the correct answer
Answer:
10:00 first one easy
Step-by-step explanation:
find x in the problem :3x+24=5x+2
Answer:
x=11
Step-by-step explanation:
Explanation is in photo, hope this helps!
15 POINTS IF YOU HELP ME!!!
2. The table shows a person saving money at a constant rate. Weeks 2 4 6 8 Total Savings ($) 70 140 210 280 How much will this person save in 77 days? Show your work. A $315 C $385 B $350 D $420
Answer:
it is 385$ because if you divide 70 by 2 you get 35 which is your constant rate so then you divide 77 by 7 to get the number of weeks(11) so then you multiply 11x35 to get the answer of 385
Step-by-step explanation:
70 divided by 2 = 35
77 divided by 7 = 11
35 times 7 = 385
Answer:
C. 385
Step-by-step explanation:
2/70 first you find out the rate by dividing both top and bottom by 2 and you get
1/35 that means every week he is saving $35
77 days = 11 weeks
so you do 11 * 1 = 11 and
11*35 which gets you
385
hope this helps, please make brainliest
6 TH GRADE MATH , WHAT IS THE SLOPE? TY
Answer:
Step-by-step explanation:
The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.
That is what Slope is.
Answer:
Step-by-step explanation:
Slope :( 1,1)
You start on the y-axis point which is (0,1) as you can see it is going up so I used the “up left” strategy. You go up 1 to the left 1 since the line intersects at point (1,2)
The spring shown below is sitting on a flat surface and it is pushed together with a weight.
What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
Help plz
Answer:
its elastic i got it correct trust me also put brainliet plz
Step-by-step explanation:
Solve for x in the problem below
Answer:
x= 381.56
Step-by-step explanation:
.......................
What is the scale factor to go from small triangle to the large triangle?