Answer: 7
Step-by-step explanation:
Simplify (3^-2)^4
A: 3^8
B: 1/3^2
C: 1/3^8
D: 3^2
Amy spent $6.00 for 2 gallons of gas. Bobby paid $15.00 for 6 gallons of gas. Carlos paid $32.00 for 8 gallons of gas. List the people in order of how much they paid for one gallon of gas, from the cheapest to the most expensive cost per gallon. Amy, Carlos, Bobby Amy, Bobby, Carlos Bobby, Amy, Carlos Bobby, Carlos, Amy
Answer: Bobby, Amy, Carlos
Step-by-step explanation:
Amy spent $6.00 for 2 gallons of gas.
The price per gallon will be:
= $6/2
= $3 per gallon
Bobby paid $15.00 for 6 gallons of gas.
The price per gallon will be:
= $15/6
= $2.5 per gallon
Carlos paid $32.00 for 8 gallons of gas.
The price per gallon will be:
= $32/8
= $4 per gallon
From the cheapest to the most expensive will be:
Bobby, Amy, Carlos
Answer:
Bobby,Amy,Carlos
Step-by-step explanation:
A charity organization had a fundraiser where each ticket was sold for a fixed price. After selling 200 tickets, they had a net profit of $12,000.
They had to sell a few tickets just to cover necessary production costs of $1,200.
Let y represent the net profit (in dollars) when they have sold x tickets.
Which of the following could be the graph of the relationship?
Answer:
Step-by-step explanation:
y = 66x - 1200
The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.
If we let b represent the sales earned from selling tickets, then:
Net profit = total sales - total costs
12,000 = 200b - 1,200
We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:
∴12000 + 1200 = 200b
13200 = 200b
To get the price of one single ticket, b, we need to divide both sides by 200.
∴ b = 66
This means that each ticket's selling price is $66.
So when when we take it back to the calculation of net profit then it becomes:
Net profit = total sales - total costs
y = 66x - 1200
To test:
y = 66x - 1200
= 66 (200 tickets) - 1200
= $12,000
please help me please
Answer:
x = -6
Step-by-step explanation:
we can see that x=-6 when y=2 on the graph
Answer:
-4 should be the answer
good luck
Rewrite using a negative exponent.
1/8^6
Answer:
All you need to do is find the reciprocal and switch the exponent to a negative. The answer is 8^-6
Step-by-step explanation:
Answer: 8^-6
Step-by-step explanation:
got it right from the answer above
what is the value of h
h= 28°
(Vertically opposite angles are equal)
Step-by-step explanation:
Name the intersection of
FG
and
GF
Answer: First option: Line FG
Step-by-step explanation:
Intersection points will be those points that belong to both lines.
We have the lines Line FG and Line GF.
Line FG: This is the line that connects the point F and the point G.
Line GF: this is the line that connects the point G and the point F.
Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.
Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"
Then the interception is the whole Line FG.
Answer:First option: Line FG First option: Line FG
Step-by-step explanation:
Intersection points will be those points that belong to both lines.
We have the lines Line FG and Line GF.
Line FG: This is the line that connects the point F and the point G.
Line GF: this is the line that connects the point G and the point F.
Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.
Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"
Then the interception is the whole Line FG.
Claire traveled 466 miles. She drove 81 miles every day. On the last day of her trip she only drove
61 miles. Write and solve an equation to find the number of days Claire traveled. Explain each step
of your problem solving strategy.
Gm
d = 5
What was the total number of days that Claire traveled?
Claire drove for days in all
(Type a whole number.)
Answer:
Claire traveled for 9 days.
Step-by-step explanation:
Given:
Total Distance traveled = 701 miles
Distance traveled each day = 80 miles
Distance traveled on last day = 61 miles
We need to find the number of days Claire traveled.
Solution:
Let the number of days Claire traveled be denoted by 'd'.
Now we can say that;
Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.
framing in equation form we get;
Now Subtracting both side by 61 using Subtraction Property of Equality we get;
Now Dividing both side by 80 we get;
Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.
a random group of high school and college students were asked if they study with or without listening to music. the frequency table below shows the results of the poll. a 4-column table with 3 rows. the first column has no label with entries high school, college, total. the second column is labeled music with entries 68, 85, 153. the third column is labeled no music with entries 65, 51, 116. the fourth column is labeled total with entries 133, 136, 269. which statements are true? check all that apply. the table shows conditional relative frequencies by column. the table shows conditional relative frequencies by row. the conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56. if someone prefers to study with music, the probability the person is in college is about 63%. if someone prefers to study with music, the probability the person is in hs is about 44%.
Answer:
The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.
If someone prefers to study music, the probability the person is in HS is about 44%.
Step-by-step explanation:
In the music column, we see that
total people who prefer to study with music = 153
high school students = 68
So, probability of high school students who study with music
= 68/153
= 0.44
= 44%.
College students = 85
Probability of college students who prefer to study with music
= 85/153
= 0.56
= 56%.
So, the correct statements are :
The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.
If someone prefers to study with music, the probability the person is in HS is about 44%.
Answer:
3 and 5
Step-by-step explanation:
2022
Find the midpoint between the points (4,8) and (-6,-3)
Answer:
[tex]( - 1,2 \frac{1}{2} )[/tex]
Step-by-step explanation:
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]
Thus, midpoint
[tex] = ( \frac{4 - 6}{2} , \frac{8 - 3}{2} ) \\ = (\frac{ - 2}{2} , \frac{5}{2} ) \\ = ( - 1,2 \frac{1}{2} )[/tex]
A question on a test asks
students to find the speed at which a car travels.
The graph shows a proportional relationship
between the distance traveled in miles and time
in hours. Billy incorrectly says that the speed of the car is 1/56 mile per hour. What is the speed of the car? What error might Billy have made?
Answer: the actual speed of the car is 65 and the other part is
"he used change in x coordinates/change in y coordinates to find a unit rate not change in y-coordinates/change in x coordinates"
Step-by-step explanation:
sorry, hope this isnt too late and hope this helps you!! <3
sorry put a answer then i realized we didn’t have the same numbers
Three students found the mean of the data set given. Their work is shown below. Choose the student who correctly found the mean. 10, 10, 13, 14, 16, 19, 23 Naeem's Work. StartFraction 10 10 13 14 16 19 23 Over 7 EndFraction = StartFraction 105 Over 7 EndFraction = 15 Preston's Work. StartFraction 10 13 14 16 19 23 Over 6 EndFraction = StartFraction 95 Over 6 EndFraction = 15. 8 Calida's Work. StartFraction 10 23 Over 2 EndFraction = StartFraction 33 Over 2 EndFraction = 16. 5.
Hey there!
Formula:
SUM of all numbers / TOTAL numbers you have in your data plot
EQUATION:
(10 + 10 + 13 + 14 + 16 + 19 + 23) / 7
10 + 10 + 13 + 14 + 16 + 19 + 23
= 20 + 13 + 14 + 16 + 19 + 23
= 33 + 14 + 16 + 19 + 23
= 47 + 16 + 19 + 23
= 63 + 19 + 23
= 82 + 23
= 105
105 / 7
= 15
So, therefore the answer is: Naeem's Work. Start fraction 10, 10, 13, 14, 16, 19, 23 Over 7 end fraction = StartFraction 105 Over 7 end fraction = 15 (Option A.)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
- Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, how many more must she sell in order to raise at least $400?
I am pretty sure the answer is 37 more bags.
Kendall need 33 more bags of popcorn to be sold.
What is word problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, she needs to raise $400, we need to find how many more must she sell in order to raise at least $400.
Let she needs to sell x more bags of popcorn,
Therefore,
140 + 8x = 400
8x = 260
x = 32.5 ≈ 33
Hence, Kendall need 33 more bags of popcorn to be sold.
Learn more about word problems, click;
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what is the value of x
Answer:
x = 5
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 4^2 = x^2
9 + 16 = x^2
25 = x^2
√25 = √x^2
x = 5
Please help with a clear answer
Answer: f is the dependent variable
Step-by-step explanation:
A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.
The value of a ratio is ___________.
1 the sum of two quantities in the ratio
2 the quotient of the two quantities in the ratio
3 the difference of the two quantities in the ratio
4 the product of the two quantities in the ratio
Answer:
The value of a ratio is:
Option 2, The quotient of the two quantities in the ratio.
Step-by-step explanation:
Hope this helps you out! ^^
HELP PLS
Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = (x - 13)2 + 6
Shift the graph of y = x2 right 13 units and then up 6 units.
Shift the graph of y = x2 left 13 units and then up 6 units.
Shift the graph of y = x2 up 13 units and then right 6 units.
Shift the graph of y = x2 left 13 units and then down 6 units.
Answer:
Shift the graph of y = x2 left 13 units and then up 6 units.
Step-by-step explanation:
Answer:
You start with the graph y=x^2, you shift the graph right 13 units to get y=(x-13)^2, then you shift the graph up 6 units to get y=(x-13)^2+6. Hope this helps!
A small strawberry smoothie costs $5. An X-large smoothie cost twice as much. How much, in dollars, does the X-large smoothie cost?
What values can replace a, b and c in the boxes below to make the statement TRUE?
Answer:
a=14
b=-5
c=3
Step-by-step explanation:
14 divided by 7 will give 2.
Using laws of indices {a^x/a^y}=a^x-y,using that law(-5-4 will give -9 bringing the -9 downward will make it positive )
same too for y
A firefighter truck can hold 3000 gallons of water. A firefighter can deliver 160 gallons of water every 2 minutes.
1. How much water will be delivered in 10 minutes?
2. How long will it take for the firefighter to empty the tank?
Answer:
Step-by-step explanation:
1. solution
160 gallons = 2 min
160 x 5 = 2 x 5
800 gallons = 10 min
2. solution
160 x 19 = 2 x 19
2880 = 36
So
approximately 38 min
6y=24−3x i need what x is and what y is but i cant seem to get it right
Step-by-step explanation:
6y=24-3x
6y/6=24-3x/6
y= 4-1/2x
x= -2y+8
Answer:
Please see below
Step-by-step explanation:
There are two variables so you can't really solve for both of them
Here's x:
3x = 24 - 6y
x = 8 - 2y
Here's y:
6y = 24 - 3x
y = 4 - x/2
Hope this helps :)
(Please let me know if I've gotten anything wrong!)
Tom has a goal of saving enough money to buy a new set of rims for his car. Tom makes $7. 50 an hour take home pay at his job working 15 hours per week. If the rims that Tom wants cost $900, how long will it take Tom to achieve his goal? a. 6 weeks b. 7 weeks c. 8 weeks d. 9 weeks Please select the best answer from the choices provided A B C D.
It will take 8 weeks to Tom to achieve his goal.
What is the amount earned by him in a week?
The amount earned by him is given by multipliy number or hours and eaning in a hour.
Given
Tom has a goal of saving enough money to buy a new set of rims for his car.
Tom makes $7. 50 an hour take home pay at his job working 15 hours per week.
The earning of Tom in an hour = $7.5
If tom worked 15 hours in a week, then the amount earned by him in one week is;
[tex]=15\times 7.5\\\\=112.5[/tex]
The required amount to achieve his goal = $900
The number of week he need to work to achieve his target is;
[tex]= \dfrac{900}{112.5}\\\\= 8[/tex]
Hence, It will take 8 weeks to Tom to achieve his goal.
To know more about equation click the link given below.
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what's the y-intercept of -2 ?
Answer:
(1,2)
Step-by-step explanation:
look at the slope
pick two points that connect like Γ
list which one connects to x and which one connects to y
Part 2 please help ty!
It’s fine if you don’t know all of them just say the ones you do
tysm again :D
PLS HELP ASAP!! WILL MARK BRAINLIEST!!!
Answer:
2 seconds
Step-by-step explanation:
[tex]y=-5t^2+20[/tex] (Given)
When acorn will hit the the ground, at that moment y = 0
[tex]\implies 0= -5t^2+20[/tex]
[tex]\implies 5t^2=20[/tex]
[tex]\implies t^2=\frac{20}{5}[/tex]
[tex]\implies t^2=4[/tex]
[tex]\implies t=\pm\sqrt4[/tex]
[tex]\implies t=\pm 2[/tex]
Time can not be negative.
[tex]\implies t\neq-2[/tex]
[tex]\implies t=2\:seconds[/tex]
First one with the answers gets marked brainly pls help!!
Using the formula for the area and circumference of a circle, we have the following answers:
1. radius = 2 in. (given)
Diameter = 4 in.
Circumference = 12.56 in.
Area = 12.56 in.²
2. radius = 10 in.
Diameter = 20 in. (given)
Circumference = 62.8 in.
Area = 314 in.²
3. radius = 5 in.
Diameter = 10 in. (given)
Circumference = 31.4 in.
Area = 78.5 in.²
4. radius = 20 in.
Diameter = 40 in. (given)
Circumference = 125.6 in.
Area = 1,256 in.²
5. radius = 18 in. (given)
Diameter = 36 in.
Circumference = 113.04 in.
Area = 1,017.36 in.²
6. radius = 8 in. (given)
Diameter = 16 in.
Circumference = 50.24 in.
Area = 200.96 in.²
7. radius = 12 in. (given)
Diameter = 24 in.
Circumference = 75.36 in.
Area = 452.16 in.²
8. radius = 16 in.
Diameter = 32 in. (given)
Circumference = 100.48 in.
Area = 803.84 in.²
9. radius = 15 in. (given)
Diameter = 30 in.
Circumference = 94.2 in.
Area = 706.5 in.²
What is the Area and Circumference of a Circle?Area of a circle = πr²Circumference of a circle = 2πr or πd, where r is radius and d is diameter.1. radius = 2 in. (given)
Diameter = 2(2) = 4 in.
Circumference = πd = π(4) = 12.56 in.
Area = πr² = π(2²) = 12.56 in.²
2. radius = 1/2(20) = 10 in.
Diameter = 20 in. (given)
Circumference = πd = π(20) = 62.8 in.
Area = πr² = π(10²) = 314 in.²
3. radius = 1/2(10) = 5 in.
Diameter = 10 in. (given)
Circumference = πd = π(10) = 31.4 in.
Area = πr² = π(5²) = 78.5 in.²
4. radius = 1/2(40) = 20 in.
Diameter = 40 in. (given)
Circumference = πd = π(40) = 125.6 in.
Area = πr² = π(20²) = 1,256 in.²
5. radius = 18 in. (given)
Diameter = 2(18) = 36 in.
Circumference = πd = π(36) = 113.04 in.
Area = πr² = π(18²) = 1,017.36 in.²
6. radius = 8 in. (given)
Diameter = 2(8) = 16 in.
Circumference = πd = π(16) = 50.24 in.
Area = πr² = π(8²) = 200.96 in.²
7. radius = 12 in. (given)
Diameter = 2(12) = 24 in.
Circumference = πd = π(24) = 75.36 in.
Area = πr² = π(12²) = 452.16 in.²
8. radius = 1/2(32) = 16 in.
Diameter = 32 in. (given)
Circumference = πd = π(32) = 100.48 in.
Area = πr² = π(16²) = 803.84 in.²
9. radius = 15 in. (given)
Diameter = 2(15) = 30 in.
Circumference = πd = π(30) = 94.2 in.
Area = πr² = π(15²) = 706.5 in.²
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can someone help me evaluate -7 x (-7)^-4 Please
(-7)¹ x (-7)⁻⁴ = (-7)⁻⁵
3. The equation 4x + 16y = 36 is a true equation for a particular
value of x. Explain why x + 4y = 9 is also true for the same value of x.
Answer:
See below.
Step-by-step explanation:
We know that the equation [tex]4x+16y=36[/tex] is a true equation for a particular value of x.
Now, let's see what happens if we divide everything by 4. In other words:
[tex]\frac{4x+16}{4}=\frac{36}{4}[/tex]
Divide:
[tex]x+4=9[/tex]
So, we get [tex]x+4=9[/tex].
When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the same thing to both sides of the equation.
Therefore, [tex]x+4y=9[/tex] is also true for the same value of x because it is just a simplified version of [tex]4x+16y=36[/tex].
Bobby drove 110 miles and his car used up 8 gallons of gas how many miles can you drive with 15 gallons of gas
Solve −h−7h+13=3. Solve for h
Answer:
I think your answer is h = -1
Answer:
-8h+13=3
-8h=3-13
_8h=_10
h=5\4