Describe a real-world situation that the graph could represent
Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.” Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.” Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is ” Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.” Which student’s work is correct?
Answer:
Wilhem
Step-by-step explanation:
The given equation is
[tex]32g+8g-10g=150[/tex]
Step 1 : Add 32g and 8g.
[tex](32g+8g)-10g=150[/tex]
[tex](32+8)g-10g=150[/tex]
[tex]40g-10g=150[/tex]
Step 2: Subtract 10 from 40.
[tex](40-10)g=150[/tex]
[tex]30g=150[/tex]
Step 3: Divide both sides by 30, find the value of g.
[tex]\frac{30g}{30}=\frac{150}{30}[/tex]
[tex]g=5[/tex]
The value of g is 5.
Therefore, Wilhem is correct.
Answer: D
Wilhem
Step-by-step explanation:
Edge2020
when the handles are lifted 7.5 centimeters, the load is lifted 3 centimeters. What is the mechanical advantage of this lever?
Answer:
2.5 :)
Step-by-step explanation:
Solve the following system of equations by linear combination:
3d – e = 7
d + e = 5
The solution is (3, 2).
The solution is (2, –1).
There is no solution.
There are an infinite number of solutions.
The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1). If ΔDEF ∼ ΔABC and DE = 4AB, what is the length of EF? √10
Answer:
The length of EF is [tex]4\sqrt{17}[/tex] units.
Step-by-step explanation:
The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1).
Using distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]BC=\sqrt{(3+1)^2+(1-2)^2}=\sqrt{17}[/tex]
It is given that ΔDEF ∼ ΔABC.
If two triangles are similar then the corresponding sides are proportional.
[tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]
[tex]\frac{AB}{4AB}=\frac{BC}{EF}[/tex] (DE = 4AB)
[tex]\frac{1}{4}=\frac{BC}{EF}[/tex]
[tex]EF=4\times BC[/tex]
[tex]EF=4\times \sqrt{17}[/tex]
[tex]EF=4\sqrt{17}[/tex]
Therefore the length of EF is [tex]4\sqrt{17}[/tex] units.
Sylvia has 3/4 of a yad of paper to wrap candles. It takes 1/8 of a yard of paper to wrap each candle. How many candles can Sylvia Wrap?
Sylvia can wrap 6 candles.
To find out how many candles Sylvia can wrap with 3/4 of a yard of paper, we need to divide the total paper by the paper needed for each candle. Since it takes 1/8 of a yard to wrap one candle, we can find the number of candles by dividing 3/4 by 1/8:
3/4 ÷ 1/8 = 3/4 x 8/1 = 6 candles
Therefore, Sylvia can wrap 6 candles with the available paper.
What are the domain and range of the function on the graph
HELP EASY I just have a lot more work i need to do, i need 9, 11-14, and 18 show work, please
If i=Square root of -1, what is the value of i^3?
A.-1
B.i
C.1
D.-i
Identify the corresponding word problem, given the inequality: 16x ≥ 384
A) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
B) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
C) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will not need more than 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
D) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 24 bottles of water. If a bottle holds 16 ounces of water, what is the total amount of water he will need?
Subtract.
(6k+2)−(3k−2)
Enter your answer, in simplified form, in the box.
Please answer!
Which of the following graphs shows the value of the antique clock, y, in dollars, after x years?
the speed of an object in space is shown in the graph
what is the slope of the line ?
Answer:
Step-by-step explanation:
The answer is fifteen
Explanation: 6-3/0.4-0.2=3 over 0.2 which is equivalent to 15
Answer B: 15
Step-by-step explanation:
Order the following sets of numbers from least to greatest 2.1 notation bar,-2.1,2 1/11,-2
Please help and explain why, so that I understand.
Should the number of people in different cities be represented on a graph as one-dimensional, two-dimensional, or three-dimensional?
A. one-dimensional
B. two-dimensional
C. three-dimensional
xfinity cable charges $60 set up fee and $80 a month for cable. direct tv has. a $160 equipment fee and $79 a month for cable services. How many months will it take before the cost is the same? What is that cost?
The correct answer is 100 months, 8060$,
To solve this problem, we need to find the point where the total cost of Xfinity cable and Direct TV cable services become equal, and then calculate the corresponding cost at that point.
Given:
- Xfinity cable charges a [tex]$60[/tex] setup fee and [tex]$80[/tex] per month.
- Direct TV charges a [tex]$160[/tex] equipment fee and [tex]$79[/tex] per month.
Let's define the total cost functions for both cable services:
Xfinity cable total cost ([tex]C_x[/tex]) after x months:
[tex]C_x = 60 + 80x[/tex]
Direct TV total cost ([tex]C_d[/tex]) after x months:
[tex]C_d = 160 + 79x[/tex]
To find the point where the total costs are equal, we set the two equations equal to each other and solve for x:
[tex]60 + 80x = 160 + 79x[/tex]
[tex]x = 100[/tex]
Substituting x = 100 into either equation, we can find the total cost at that point:
[tex]C_x = 60 + 80(100) = 8060[/tex]
[tex]C_d = 160 + 79(100) = 8060[/tex]
Therefore, after 100 months, the total cost of both cable services will be the same at [tex]$8060[/tex].
Help help help help help
Question 15 please
Please show work and Thank you for your time
A candidate to the presidency wants to know what percentage of the registered voters in the country would vote for him. So, he gives that task to one of his aides and tells him he has 3 days to come up with the results. Describe a method the aide should use to complete the task in time and which provides meaningful data. Use size of the sample, population of interest, and method of selection to complete your answer.
Answer:
Since the aide has only 3 days to come up with the results So, firstly he will collect the data of those people only who has the right to vote which is called the population of interest.
The size of the sample will depend on the population of the country.
Finally, for method of selection, a random and wide range of people must be surveyed. Ideally, he would want people from different professions, age groups, political parties, and geographical locations.
Since the aide has only 3 days, the most practical decision may be to use online surveys spread around varying interest groups to collect the information in the given short period of time. Because it is very difficult to collect this information in a very short period of time.
An app developer projects that he will earn $22.00 for every 8 apps downloaded. Write an equation to represent the proportional relationship between the number of apps and the total earnings.
Answer:
y = ($2.750 / app) . x
Step-by-step explanation:
Let's call
x = number of appsy = earned moneyThere is a linear relation between x and y, that follows the general form:
y = a . x + b
where
a is the slope
b is the y-intercept
The slope is:
Δy / Δx = $22.00 / 8 app = $2.750 / app
The, we have
y = ($2.750 / app) . x + b
When x = 0 (no app has been sold), y = 0 (no money has been earned).
0 = ($2.750 / app) . 0 + b
b = 0
The equation representing the proportionality between x and y is:
y = ($2.750 / app) . x
What is 7.3 x 10^2 = !????
Help!?
The graph shows how the cost of gasoline
Using the relation in Part B, what is the value of x if f(x) = 99?
Identify a sequence of transformation that maps triangle ABC onto A"B"C" in the image below.
A. Clockwise 270 degrees rotation; reflection over the X-axis
B. Counterclockwise 90 degrees rotation; reduction
C. Counterclockwise 270 degrees rotation; reflection over the Y-axis
D. Enlargement; clockwise 90 degrees rotation
Determine which of the following expressions simplifies to x - 4y. Select all situations that apply.
-x(-2 + 8y)
-(-2x + 8y)
3(x - 2y) + 2(y - x)
(y - x)(-2) (-2)
Answer:
The above one is partly correct the answer (for odyssey ware) is (-(1)/(2)x+2y)(-2)
-(1)/(2) (-2 x + 8 y)
and 3( x - 2 y) + 2( y - x)
Hope this helps people in the future ☜(ﾟヮﾟ☜)
Step-by-step explanation:
Find the volume of each cone please help me with number 20 please
The shaded area represents a cement walkway around a pool. State the algebraic expression that represents the difference between the outside perimeter of the walkway and the perimeter of the pool.
The difference between the outside perimeter of the walkway and the perimeter of the pool in algebraic expression is (2x + 14).
How to solve perimeter of rectangle?Pool:
Length = 2x - 1
Width = 12
The perimeter of the pool = 2(length + width)
= 2{(2x - 1) + 12}
= 2(2x - 1 + 12)
= 2(2x + 11)
= 4x + 22
Outside perimeter of the walkway:
Length = (2x - 1) + x
= 3x - 1
Width = 12 + 7
= 19
The perimeter of the walkway = 2(length + width)
= 2{(3x - 1) + 19}
= 2(3x - 1 + 19
= 2(3x + 18)
= 6x + 36
Difference between the outside perimeter of the walkway and the perimeter of the pool = The perimeter of the walkway - The perimeter of the pool
= (6x + 36) - (4x + 22)
= 6x + 36 - 4x - 22
= 2x + 14
Hence, (2x + 14) is the expression which represents the difference between the perimeter of the walkway and the perimeter of the pool.
Read more on perimeter:
https://brainly.com/question/24571594
#SPJ3
A carpenter makes custom desks. He currently has 7 desks in his showroom. If he can build 3 desks each week, how many weeks will it take him to have a total of 22 desks?
Choosing a graph to fit a narrative ^^
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11