POSSIBLE POINTS: 50
Giselle made several apple and peach pies. She bought peaches for $4 per pound and apples for $2 per pound. If Giselle spent $60 to buy 24 pounds of
fruit, how many pounds of peaches did she buy?
15 lbs
12 lbs
O 6 lbs.
2 lbs.
Answers
The number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds
Given:
cost of peaches per pound = $4
cost of apples per pound = $2
Total amount spent = $60
Total pounds bought = 24
let
x = number of peaches
y = number of apples
x + y = 24 (1)
4x + 2y = 60 (2)
multiply (1) by 2
2x + 2y = 48 (3)
4x + 2y = 60 (2)
subtract (3) from (2)
4x - 2x = 60 - 48
2x = 12
x = 12/2
x = 6
substitute x = 6 into (1)
x + y = 24 (1)
6 + y = 24
y = 24 - 6
y = 18
Therefore, the number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds
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Related Questions
Please help!!
One thousand people stood in a very large circle. Each person wore a sign on their back
with a numeral from 1 to 1000, in a clockwise sequence. They began counting off. The
first person, person A, said "one-in," and remained in the circle. Person B, the person to
the left of A, said "two-out," and left the circle. The person to the left of B, person C, said
"three-in," and remained in the circle. The person to the left, person D, said "four-out,"
and stepped out of the circle.
So it continued with each person wearing an odd number saying "in," and remaining in
the circle, and with every person wearing an even numeral leaving the circle.
It was easy to visualize who remained in the circle when the count off made it all the way
around back to the first person. Since the last person said "one thousand-out," person A,
the first person, said "one-in," and stayed in, while person C, now the next person, said
"three-out," and left the circle. This process would keep going on and on until only one
person was left in the circle.
Who was the last person standing?
Answers
The person who gets to say the last number, 1000, will be Person 6.
Here, we have,
In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.
When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.
Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.
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complete question:
10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number
Due in a MINUTE!!! Need help!
Answers
Answer:
GH = 15
Step-by-step explanation:
In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. Therefore:
\(9x - 3 = \frac{1}{2} (19 + 5x + 1)\)
\(18x - 6 = 5x + 20\)
\(13x = 26\)
\(x = 2\)
\(9(2) - 3 = 18 - 3 = 15\)
Complete the statement using <, >, or =
_
4√2 _?_ 16/3
Answers
Answer:
4√2 > 16/3
Step-by-step explanation:
If you can use a calculator, find √2 and multiply it by 4. You get 5.656...
Then divide 16 by 3. You get 5.333...
Since 5.656... > 5.333..., then 4√2 > 16/3
If you can't use a calculator, do the same operations to both numbers until they are easily compared.
4√2 ___ 16/3
Square both numbers:
(4√2)² ___ 256/9
16 × 2 ___ 256/9
32 ___ 256/9
Multiply both numbers by 9:
32 × 9 ___ 256/9 × 9
288 ___ 256
Since 288 > 256, then 4√2 > 16/3
prove that A(BC)=(AB)C as the associative law of matrix multiplication
Answers
Answer:
\(A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}\)
\(\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}\)
Therefore, we conclude that
\(A(BC)=(AB)C\)
Step-by-step explanation:
Given that the associative law of matrix multiplication
\(A(BC)=(AB)C\)
Let
\(A=\begin{pmatrix}1&2\\ 3&4\end{pmatrix}\)
\(B\:=\:\begin{pmatrix}1&0\\ 1&2\end{pmatrix}\)
\(C=\begin{pmatrix}1&3\\ \:1&1\end{pmatrix}\)
proving
A(BC)=(AB)C
Determining the L.H.S
A(BC)\(A\left(BC\right)=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\:\left[\:\begin{pmatrix}1&0\\ \:\:\:1&2\end{pmatrix}\begin{pmatrix}1&3\\ \:\:\:\:1&1\end{pmatrix}\right]\:\)
First determining BC
as multiplying the rows of the first matrix by the column of the second matrix
\(BC=\begin{pmatrix}1&0\\ \:1&2\end{pmatrix}\begin{pmatrix}1&3\\ \:1&1\end{pmatrix}=\begin{pmatrix}1\cdot \:\:1+0\cdot \:\:1&1\cdot \:\:3+0\cdot \:\:1\\ \:1\cdot \:\:1+2\cdot \:\:1&1\cdot \:\:3+2\cdot \:\:1\end{pmatrix}\)
\(=\begin{pmatrix}1&3\\ 3&5\end{pmatrix}\)
so the matrix equation becomes
\(A\left(BC\right)=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\begin{pmatrix}1&3\\ \:3&5\end{pmatrix}\)
\(=\begin{pmatrix}1\cdot \:1+2\cdot \:3&1\cdot \:3+2\cdot \:5\\ 3\cdot \:1+4\cdot \:3&3\cdot \:3+4\cdot \:5\end{pmatrix}\)
\(=\begin{pmatrix}7&13\\ 15&29\end{pmatrix}\)
\(A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}\)
Determining the R.H.S
(AB)C\(\left(AB\right)C=\left[\begin{pmatrix}1&2\\ \:\:\:\:3&4\end{pmatrix}\:\begin{pmatrix}1&0\\ \:1&2\end{pmatrix}\right]\begin{pmatrix}1&3\\ \:\:\:\:\:1&1\end{pmatrix}\:\)
First determining AB
as multiplying the rows of the first matrix by the column of the second matrix
\(AB=\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}\begin{pmatrix}1&0\\ \:\:1&2\end{pmatrix}=\begin{pmatrix}1\cdot \:\:1+2\cdot \:\:1&1\cdot \:\:0+2\cdot \:\:2\\ \:3\cdot \:\:1+4\cdot \:\:1&3\cdot \:\:0+4\cdot \:\:2\end{pmatrix}\)
\(=\begin{pmatrix}3&4\\ 7&8\end{pmatrix}\)
so the matrix equation becomes
\(AB\left(C\right)=\begin{pmatrix}3&4\\ \:\:7&8\end{pmatrix}\begin{pmatrix}1&3\\ \:\:1&1\end{pmatrix}\)
multiplying the rows of the first matrix by the column of the second matrix
\(=\begin{pmatrix}3\cdot \:1+4\cdot \:1&3\cdot \:3+4\cdot \:1\\ 7\cdot \:1+8\cdot \:1&7\cdot \:3+8\cdot \:1\end{pmatrix}\)
\(=\begin{pmatrix}7&13\\ 15&29\end{pmatrix}\)
Thus,
\(\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}\)
as
\(A\left(BC\right)=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}\)
\(\left(AB\right)C=\begin{pmatrix}7&13\\ \:15&29\end{pmatrix}\)
Therefore, we conclude that
\(A(BC)=(AB)C\)
Jessica wants to buy a new chair that has a regular price of $75 this week the chair will be on sale for 12% discount how much money will Jessica save if she buys at chair this week
Answers
Answer:
68.75
Step-by-step explanation:
75 divided by 12 is 6.25 so you subtract 6.25 from 75 and get your answer.
i hope this helps.
plsase help meeeeeee
Answers
Answer: I believe it's A
Hope this helped
Mark wants to be a chef someday and would like to start learning to grow his own
ingredients in a garden. His mom gives him 12 square feet of space in the back yard to plant
a garden. He marks off % of it to save for a tomato plant and has the rest to use for onions.
Each onion bulb needs square feet of room to grow. How many onion bulbs can he
plant?
Answers
The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.
Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.
The area of the space reserved for the tomato plant is:
12 square feet x (x/100) = 0.12x square feet
The area of the space available for onions is:
12 square feet - 0.12x square feet
Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:
(12 square feet - 0.12x square feet) / y
So the number of onion bulbs Mark can plant is:
(12 - 0.12x) / y.
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Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
Answers
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
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Solve the equation -3 = -13 – 5x for x. A. -2 B. -1 C. 0 D. 1
Answers
-3 = 13 - 15x | subtract -13 on both sides
-16 = 15x | divide 15 on both sides
-1 = x | final answer is B. -1
Which of the following is true about the median of a trapezoid?
A. The median connects the endpoints of the bases of a trapezoid.
B. The length of the median is half the sum of the lengths of the
bases.
OC. The length of the median is half the difference of the lengths of
the bases.
D. The median connects the midpoints of the bases of a trapezoid.
Answers
According to the definition of the median of the trapezoid: B. The length of the median is half the sum of the lengths of the bases.
What is the Median of a Trapezoid?The median of a trapezoid is the line segment that connects the two legs of a trapezoid and is parallel to each of the base of the trapezoid. Also, the length equals half of the sum of the two base lengths of the trapezoid.
Thus, based on the definition of the median of a trapezoid, the true statement is: B. The length of the median is half the sum of the lengths of the bases.
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Falling objects can be modeled with quadratic functions. One student was thinking about this
and wondered what might happen in a few different situations.
They wondered if they could get on top of a 126 foot tall building and throw a tennis ball
straight up in the air as hard as they could, how long would it take for the ball to hit the ground.
Based on their knowledge of gravity and how fast they can throw a ball, they created the
following equation, which relates time, t, in seconds to height, h(t), in feet.
h(t) = -14t² + 56t+126
a. Find the vertex of the equation and explain what it means in this context.
b. Find the x-intercepts and y-intercept and explain what they mean in this context.
This student also wonders how long it will take the ball to reach the 6th floor, which
they measured to be 72 feet from the ground. Find the time it will take for the ball to reach 72 feet.
Answers
a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.
b. The tennis ball is initially at a height of 126 feet above the ground.
How to calculate the valuea. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:
h(2) = -14(2)² + 56(2) + 126
h(2) = -14(4) + 112 + 126
h(2) = -56 + 112 + 126
h(2) = 182
Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.
b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):
h(0) = -14(0)² + 56(0) + 126
h(0) = 126
The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.
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Help please/////
///////
Answers
Answer:
False, True
Step-by-step explanation:
so the formula! is to divide image by pre-image in order to get your scale factor. 5 divided by 2 is 2.5.. so that answer can be marked true, leaving the other false. < 3
let me know if im right tho lol :D
How many solutions does this equation have?
4(-3b - 14) = -12b
Answers
Answer:
no solutions
Step-by-step explanation:
distribute the 4 to get:
-12b - 56 = -12b
add 12b to each side to get:
-56 = 0
since -56 does not equal 0 there are no solutions
What is the solution to |x-2| + 3 > 17?
Ox<-12 or x > 16
Ox<-14 or x>7
O-12
O-14
Answers
Answer:
x<-12 or x>16
Step-by-step explanation:
Answer:
|x - 2| + 3 > 17
|x - 2| > 14
x - 2 < -14 or x - 2 > 14
x < -12 or x > 16
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answers
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
the home cleaning company charges $312 to power-wash the siding of the house plus $12 for each window. power clean charges $36 per window, and the price includes power -washing the siding. how many windows must a house have to make the total cost from the home cleaning company more expensive than power clean? let w be the number of windows. (creating and solving
Answers
$312 to power-wash + $12 /w
power clean $36/w
Ok
312 + 12w > 36w
312 > 36w - 12w
312 > 24w
312/24 > W
13 > w
13 windows, let's check
312 + 12w > 36w
312 + 12(13) > 36(13)
312 + 156 > 468
468 > 468 with 13 windows the cost is the same
then, use 14 windows
312 + 12(14) > 36(14)
312 + 168 > 504
480
The answer is 12 windows
312 + 12(12) > 36(12)
312 + 144 > 432
456 > 432 12 windows
Instructions: Select all of the methods that will find both real andimaginary solutions.Select one or more:Quadratic FormulaCompleting the SquareFactoringSquare RootsCheck
Answers
Let's begin by identifying key information given to us:
Imaginary solutions
Please help me put them in correct place
Answers
The inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
Writing linear inequalitiesFrom the question, we are to match the statements with the corresponding inequalities
Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tallx ≤ 100 -5
x ≤ 95
Temperature(x) is greater than the boiling point of water (100 °C)x > 100
John buys x chocolates worth $5 each but he has only $100 in his pocket5x ≤ 100
Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every dayx ≤ 100
and
x ≥ 1/5 × 100
x ≥ 20 ≡ 20 ≤ x
∴ 20 ≤ x ≤100
Hence, the inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
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Unknown cultural affiliations and loss of identity at high elevations." These are words used to propose the hypothesis that archaeological sites tend to lose their identity as altitude extremes are reached. This idea is based on the notion that prehistoric people tended not to take trade wares to temporary settings and/or isolated areas. As elevation zones of prehistoric people (in what is now the state of New Mexico) increased, there seemed to be a loss of artifact identification. Consider the following information.Elevation Zone Number of Artifacts Number Unidentified7000-7500 ft 114 715000-5500 ft 142 23Let p1 be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p2 be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area.(a) Find a 95% confidence interval for p1 − p2. (Round your answers to three decimal places.)lower limit: upper limit:
Answers
Answer:
Step-by-step explanation:
In Rebecca's neighborhood, 89% of the houses have garages and 48% have a
garage and a pool. What is the probability (in percent) that a house in her
neighborhood has a pool, given that it has a garage? Round your answer to 1
decimal place.
Answers
why are there two of these?
Answer:
53.9
Step-by-step explanation:
89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9
Please help will give brainliest
Find the point-slope equation for the line
that passes through the points (30, 2) and
(15, -28). Use the first point in your
equation
y - [?]
=
l(x -
Answers
9514 1404 393
Answer:
y -2 = 2(x -30)
Step-by-step explanation:
The point-slope equation is ...
y -k = m(x -h) . . . . . line through (h, k) with slope m
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (-28 -2)/(15 -30) = -30/-15 = 2
Using this slope and the first point, the equation of the line is ...
y -2 = 2(x -30)
Please help me find the answer to this question
Answers
-------------------------------------------------------------------------------------------------------------
Answer: The top right table
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{y = 30 - 3x}\)
Find: \(\textsf{Match the table of values with the equation}\)
Solution: First we must understand what form our equation is in and what each of the numbers represent. This form is known as the slope intercept form which is formatted as y = mx + b. Our equation is slightly re-ordered but we can change that by converting it to y = -3x + 30 where m is equal to -3 and b is equal to 30. Let us know talk about what m and b are. M is the slope of the equation or also known as the rise/run or the change in y over the change in x. B is the y-intercept which is basically the value of y when x is equal to 0. In this case, our b is equal to 30.
Looking at the tables we can see what the value of y when x is equal to 0 for each table. The only table that matches up stating that y is equal to 30 when x is 0 is the top right table.
You do not have to go any further but if you want to confirm that the slope is as expected we can do the following: \(\frac{y_2\ -\ y_1}{x_2\ -\ x_1}\).
Plug in the values and simplify
\(\frac{48\ -\ 30}{-6\ -\ 0}\)\(\frac{18}{-6}\)\(-3\)Therefore, we can confirm that the slope matches up with the given equation as well. So, the final answer would be that the top right table would correspond to the equation y = 30 - 3x.
Describe the graph of the line x = 12.
1.vertical line
2.crosses the y-axis
3.line with slope of 12
4.horizontal line
Answers
The only thing we can say about the line is that x = 12 is a vertical line.
What can we say about the graph of the line x = 12?
Remember that the general linear equation is:
a*x + b*y = c
Particularly, if we take b = 0, the dependence on y disappears, and then we get a vertical line.
This is just a vertical line that crosses the x-axis at x = 12. (and never crosses the y-axis).
So the only correct option is the first one.
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Answer:
1. Vertical Line
Step-by-step explanation:
dy/dx(2x^2+2y^2-3x+2y=1)
Answers
Answer:
\({ \bf{ \frac{dy}{dx} = \frac{3 - 4x}{4y + 2} }}\)
Step-by-step explanation:
\({ \sf{ \frac{dy}{dx} (2 {x}^{2} + 2 {y}^{2} - 3x + 2y = 1) }} \\ \\ { \sf{4x + 4y \frac{dy}{dx} - 3 + 2 \frac{dy}{dx} = 0 }} \\ \\ { \sf{ 4y\frac{dy}{dx} + 2 \frac{dy}{dx} = 3 - 4x }} \\ \\ { \sf{ \frac{dy}{dx}(4y + 2) = 3 - 4x }} \\ \\ { \sf{ \frac{dy}{dx} = \frac{3 - 4x}{4y + 2} }}\)
\({ \underline{ \tt{ \blue{christ \:† \: alone }}}}\)
Olivia needs 54 licks for every 3 lollipops she eats.
Answers
18 is your answer
54 divided by 3 = eighteen
Answer:
If the question is how many licks does she need for each lollipop, the answer will be 18 licks
Step-by-step explanation:
54/3=18licks
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The measure of an angle is 1°. Find the measure of the complement.
Answers
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
Answers
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
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On a coordinate plane, 4 points are plotted. The points are (1, 48), (2, 12), (3, 3), (4, 1).
Determine the explicit formula for the geometric sequence represented by the graph.
f(x) = (one-fourth) Superscript x
f(x) = 48 (one-fourth) Superscript x minus 1
f(x) = (4)x
f(x) = 48(4)x – 1
Answers
Answer:
f(x)=48 (4)x-1 это просто
Answer:
It is in Fact B.
Step-by-step explanation:
I Took this on Edge and it is right, if you have this question, then it is B.
分
타
Sin Of = f (m + You
3
Answers
Answer:
what do you mean by your question I didn't understand it
5 1/2 + 3/4 Give your answer in its simplest form.
Answers
Answer:
5 1/2 + 3/4
11/2 + 3/4
22+3/4
25/4
=6 1/4