Answer: a= (4x-1)(6x+9)
Step-by-step explanation:
area= length x width
Answer:
below
Step-by-step explanation:
24 x 2 + 30 x − 9
A company sells cocoa powder in a cylindrical container that is 5 inches long with a circular base of diameter 4 inches. The company is planning to sell a family-size product that will use similar packaging scaled by a factor of 2.
The circumference of the original container is (62.8, 15.7, 12.57, 6.28)
inches. This is (18.84, 9.42, 37.68, 12.57)
inches less than the circumference of the new container.
The circumference of the original container is 12.57 inches.
The cirucmference of the original container is 12.57 inches less than the circumference of the new container.
What is the circumference of the cylinder?The circumference of a cylinder is the distance round the cylinder. It is the perimeter of the cylinder.
The circumference of a cylinder = πD
Where:
π = 22/7D = diameterThe circumference of the original container = 22/7 x 4 = 12.57 inches
The circumference of the family sized container 12.57 x 2 = 25.14 inches
Difference in the circumference = 25.14 - 12.57 = 12.57 inches
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Answer: 12.57 for both
Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO
PLS HELP!!: A rectangular garden measures 3 feet by 6 feet. The gardener wants to triple the area of the garden by extending both the width and length by the same distance . What should the dimensions of the new garden be?
Answer: 9ft by 18ft
Step-by-step explanation: So triple means 3times that number
so what you do is easy 3•3=9 thats how you get 9ft and 6•3=18 and thats how you get 18ft.
Determine if (1, 3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5 (1 point)
No, because substituting the given ordered pair yields two true expressions.
No, because substituting the given ordered pair doesn't yields two true expressions.
Yes, because substituting the given ordered pair doesn't yield two true expressions.
Yes, because substituting the given ordered pair yields two true expressions.
5x+y=8 equation 1
x+2y=5 equation 2
Subsitute (1,3) in bothe equations if the right side is equal to.the left side of the equation then (1,3) is a solution
5(1)+3=8
1+2(3)=7
7 isn't equal to 5 so 1,3 is NOT a solution for this system of equations
Answer:
No, because substituting the given ordered pair doesn't yield two true expressions
Step-by-step explanation:
:)
Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years old, write a rule that relates their ages over time. When Jack is 28 years old, how old will Todd be?
A rule that relates their ages over time is given by y = x+3 , When Jack is 28 years , Todd will be 31 years old.
What are Variables ?Variables are generally alphabets that are used to denote the unknown values in any process or equation.
If Jack is x years old
Todd is y years old
Todd is 3 years older than his brother Jack.
a rule that relates their ages over time is given by
y = x+3
When Jack is 28 years old
Todd will be
y = 28+3
y = 31 years
Therefore Todd will be 31 years old.
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Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company’s needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows:
Supplier
Component 1 2 3
1 $12 $13 $10
2 $15 $12 $10
Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows:
Supplier 1 2 3
Capacity 525 975 900
If the Edwards production plan for the next period includes 1025 uni
Answer:
A)
Supplier
Component 1 2 3
1 125 900
2 525 300
B) Cost Table
1 2 3 Total
Component 1 1625 9000 10625
Component 2 7875 3600 11475
Total cost 7875 5225 9000 22100
Step-by-step explanation:
Table 1:
Supplier
Component 1 2 3
1 $12 $13 $10
2 $15 $12 $10
Table 2:
Supplier 1 2 3
Capacity 525 975 900
Now we are supposed to find production plan for the next period includes 1025 units of component 1 and 825 units of component 2
So,
Supplier
Component 1 2 3
1 125 900
2 525 300
Cost Table :
1 2 3
Component 1 \(13 \times 125\) \(900 \times 10\)
Component 2 \(15 \times 525\) \(12 \times 300\)
Cost Table
1 2 3 Total
Component 1 1625 9000 10625
Component 2 7875 3600 11475
Total cost 7875 5225 9000 22100
Crew consists of the labores and a pump Alaborer costs 25 and the pump costs and very cyd of concrete needs 50 munutes of the crew me How much is the cost per Cubic Yard of concrete 14 Question 4 2 pts the cost of a concrete cow for a bicydis 5200 and the cost of concrete mais $120 cyd What is the cost of poung 100 cd of concrete
Cost of labor = $25 × Number of laborers
Total time required = 100 × 50 minutes
Cost of concrete = $120 × 100
Total cost = Cost of labor + Cost of concrete
To calculate the cost of pouring 100 cubic yards of concrete, we need to consider the cost of laborers and the cost of concrete per cubic yard. Given that each laborer costs $25, the labor cost for pouring 100 cubic yards would be $25 multiplied by the number of laborers.
Additionally, it is stated that each cubic yard of concrete requires 50 minutes of the crew's time. Assuming the crew works continuously, the total time required to pour 100 cubic yards would be 100 multiplied by 50 minutes.
To determine the total cost, we also need to consider the cost of concrete per cubic yard. Given that the cost of a concrete yard is $120, the total cost of pouring 100 cubic yards would be $120 multiplied by 100.
Therefore, the cost of pouring 100 cubic yards of concrete can be calculated by summing the labor cost and the cost of the concrete:
Cost of labor = $25 × Number of laborers
Total time required = 100 × 50 minutes
Cost of concrete = $120 × 100
Total cost = Cost of labor + Cost of concrete
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which is a better buy. 5 grapfruit for 1.99 or 8 grape fruit for 2.99
The better buy is 8 grapefruit for 2.99. '
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 5 grapefruit for 1.99 or 8 grapefruit for 2.99. The better price for the grapefruit will be calculated as,
5 grapefruit for 1.99
1 grapefruit = $1.99 /5 = $0.39
8 grapefruit for 2.99.
1 grapefruit = 2.99 / 8 = $0.37
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You have reached the right row of shelves to find a book with the call number GT2853 A515 A48 2012. Which specific shelf would contain your book
Based on the call number GT2853 A515 A48 2012, your book would be located on the shelf that is labeled with the letters "GT" which typically corresponds to the subject area of anthropology.
Within the GT section, you would then look for the number range of 2853, followed by the letters A515, which further narrow down the subject matter of your book. Finally, the letters A48 indicate the author's last name, and the publication year of 2012 helps to differentiate any other books with similar call numbers. So, the specific shelf that would contain your book would be the one labeled with "GT 2853 A515."
To locate the book with the call number GT2853 A515 A48 2012, follow these steps:
1. Look for the shelves labeled with "GT" (the alphabetical portion of the call number).
2. Within the "GT" section, search for the numeric range that includes "2853" (the first number in the call number).
3. Once you've found the 2853 section, look for the "A515" subsection (the second part of the call number, usually in alphabetical and numerical order).
4. Lastly, locate the specific shelf containing "A48 2012" (the third part of the call number). This will lead you to the book you are looking for.
By following these steps, you will find the specific shelf that contains your book with the call number GT2853 A515 A48 2012.
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flipping a fair two-sided coin, the probability of getting heads is equal to the probability of getting tails. if the coin is flipped three times consecutively, what is the probability of getting heads at least twice?
The probability of getting heads at least twice is 0.5
Since we are given two-sided coin, where the probability of getting heads is equal to the probability of getting tails.NO of outcomes in this case is 2,The probability of getting a head = 1/2, similarly probability of getting a tail is =1/2 .So when a coin is flipped three times, the sample space for the event will be (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT), H stands for head and T stands for tails, here for tossing the coin the number of outcomes is 8 .So the probability of getting at least two heads is: 4/8= 1/2 =0.5
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PLEASE HELP ME IM BEGGING ITS DUE IN 10 MINUTES
Answer:
wow good luck mines due in 5 mins and im stuck hahah
Step-by-step explanation:
The distance between the bottom of a boat in the water line is called a draft. A boat in the water rises 14 feet above the water. The boat's draft 6 feet. What is the vertical distance between the highest and lowest points of the boat?
Answer:
84
Step-by-step explanation:
because you multiplication the number
Write the statements "The sum of three times x and 11 is 32" in the form of
equations
*
3x - 11 = 34
5x - 7=2
3x + 11 = 32
Step-by-step explanation:
3x_11=34
3x=34+11
3x=45
x=45/3
x=15
Tim sells two types of pizza. He charges $10 for a cheese pizza and $15 for a pepperoni pizza. Yesterday he sold 90 pizzas in all. For every 2 cheese pizzas, he sells 3 pepperoni pizzas. how much money did he make selling pizzas yesterday?
PLEASE HELP ANSWER THIS QUESTION
Answer:
he made $2,925
Step-by-step explanation:
step one:
2 cheese = $20 (2 x 10)
+
3 pepperoni = $45 (3 x 15)
=
5 pizzas for $65
step two
90 ÷ 5 = 45
step three
65 x 45 = 2925
The water's speed in the pipeline at point A is 4 m/s and the gage pressure is 60 kPa. The gage pressure at point B, 10 m below of point A is 100 kPa. (a) If the diameter of the pipe at point B is 0.5 m, What is the water's speed? (b) What is th
The water's speed in the pipeline at point A is 4 m/s with a gage pressure of 60 kPa, while at point B, located 10 m below point A, the gage pressure is 100 kPa. By determining the water's speed at point B (a) and the diameter of the pipe at point B (b), we can understand the fluid dynamics within the pipeline.
(a) Water's speed at point B:
Use Bernoulli's equation to calculate the water's speed at point B.Bernoulli's equation states that the sum of pressure, kinetic energy, and potential energy per unit volume remains constant along a streamline.At point A, we have the gage pressure and the speed of water, which allows us to calculate the total pressure at that point.At point B, we know the gage pressure and need to find the water's speed.Apply Bernoulli's equation to equate the total pressure at point A to the total pressure at point B.Rearrange the equation to solve for the water's speed at point B.(b) Diameter of the pipe at point B:
The diameter of the pipe at point B is given as 0.5 m.The diameter remains constant along the pipeline, so the diameter at point A is also 0.5 m.By using Bernoulli's equation, we can determine the water's speed at point B in the pipeline. Additionally, the diameter of the pipe at point B remains the same as the diameter at point A.
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What is the volume of the prism? All angles are right angles.
The volume of the given prism is 168 cubic meters. It's important to note that the units of the measurements provided (m) are in meters. So the resulting volume is in cubic meters (m³).
To find the volume of a prism, we need to multiply the area of the base by the height. In this case, the given prism has a base that measures 7 m by 4 m and a height of 6 m.
Step 1: Calculate the area of the base. The base of the prism is a rectangle, so the area is found by multiplying the length (7 m) by the width (4 m).
Area of the base = length × width
= 7 m × 4 m
= 28 m²
Step 2: Multiply the area of the base by the height of the prism to find the volume.
Volume of the prism = Area of the base × height
= 28 m² × 6 m
= 168 m³
Therefore, the volume of the given prism is 168 cubic meters.
It's important to note that the units of the measurements provided (m) are in meters. So the resulting volume is in cubic meters (m³). The volume represents the amount of space enclosed by the prism. In this case, the prism has a length of 7 m, width of 4 m, and height of 6 m, resulting in a volume of 168 cubic meters.
Remember to always include the appropriate unit of measurement when expressing the volume or any other quantity.
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Which of the following is a geometric sequence?A. -5,0,10,25,45B. 1,2,4,8,16C.-3,1,5,9D. 4,8,24,96,480
Solution:
We are required to determine which is a geometric sequence.
Firstly, let us look at what a Geometric sequence is .
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In summary, a Geometric sequence has a common ratio.
Let us take a look at the options one after the other
A. -5,0,10,25,45
\(\begin{gathered} \frac{0}{5}\text{ = 0} \\ \\ \frac{10}{0}=\infty \\ there\text{ is no common ratio here, hence it is not a Geometric sequence} \end{gathered}\)B. 1,2,4,8,16
\(\begin{gathered} \frac{2}{1}=2 \\ \\ \frac{4}{2}=2 \\ \\ \frac{8}{4}=2 \\ \\ \frac{16}{8}=2 \\ We\text{ can see that this sequence has a common ratio of 2, hence it is a geometric sequence} \end{gathered}\)C.-3,1,5,9
\(\begin{gathered} \frac{1}{-3}=-\frac{1}{3} \\ \\ \frac{5}{1}=5 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)D. 4,8,24,96,480
\(\begin{gathered} \frac{8}{4}=2 \\ \frac{24}{8}=3 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)Thus, the answer is B. 1,2,4,8,16
Nick and his sister, Laura, love to use homemade spread on their bagels. When Nick makes a
batch, he uses 12 ounces of orange marmalade and 16 ounces of cream cheese. When Laura
makes a batch, she uses 8 ounces of orange marmalade and 12 ounces of cream cheese.
Whose bagel spread tastes fruitier?
The bagel spread that tastes fruiter is Nick's batch.
Which bagel spread tastes fruitier?
In order to determine the bagel spread that is fruitier, assume that 140 bagel spread of the mixture is available to both Nick and Laura.
Ounces of orange marmalade in Nick's spread = (12 / 28) x 140 = 60
Ounces of orange marmalade in Laura's spread = (8 / 20) x 140 = 56
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So, Laura's bagel spread tastes fruitier.
Since Nick and his sister, Laura, love to use homemade spread on their bagels. When Nick makes a batch, he uses 12 ounces of orange marmalade and 16 ounces of cream cheese, and when Laura makes a batch, she uses 8 ounces of orange marmalade and 12 ounces of cream cheese.
The batch that tastes fruiter is the batch that has the greater ratio of orange to cheese.
So, Ratio of orange to cheese in Nick's batchSince Nick uses 12 ounces of orange marmalade and 16 ounces of cream cheese, the ratio of orange to cheese is 12:16 = 12 ÷ 4 : 16 ÷ 4 = 3:4
Ratio of orange to cheese in Laura's batchSince Laura uses 8 ounces of orange marmalade and 12 ounces of cream cheese, the ratio of orange to chees is 8:12 = 8 ÷ 4:12 ÷ 4 = 4:3
We see that since Laura's orange marmalade to cream cheese ratio is 4:3 while Nick's orange marmalade to cream cheese ratio is 3:4.
Since Laura has the greater orange marmalade to cream cheese ratio, Laura's bagel spread tastes fruitier.
So, Laura's bagel spread tastes fruitier.
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A mass weighing 20 N stretches a spring 10 cm = 0.01 m. The mass is pushed upwards a distance of 1 cm = 0.01 m and set into motion with an upward velocity of 2 m/s. Assume undamped, free motion. [You can use g = 10 m/s²] a) Determine the mass m and the spring constant k? b) Write an initial value problem (IVP) to model the system, and solve this IVP to find the position function u(t) c) Determined the natural frequency wo, period T, amplitude R, and phase 8.
The mass (m) is 2 kg and the spring constant (k) is 2000 N/m.
To solve this problem, we'll use the equation of motion for a mass-spring
m * u''(t) + k * u(t) = 0
where:
m is the mass of the object attached to the spring,
u(t) is the displacement of the mass from its equilibrium position at time t,
k is the spring constant.
a) Determine the mass (m) and the spring constant (k):
Given:
Weight of the mass (W) = 20 N
Displacement of the mass (x) = 0.01 m
Upward velocity (v) = 2 m/s
Acceleration due to gravity (g) = 10 m/s²
Since the weight of the mass is given by W = m * g, we can solve for the mass (m):
20 N = m * 10 m/s²
m = 20 N / 10 m/s²
m = 2 kg
To find the spring constant (k), we'll use Hooke's Law: F = k * x
The force required to stretch or compress the spring is equal to the weight of the mass.
Thus, we have: k * x = m * g
k = (m * g) / x
k = (2 kg * 10 m/s²) / 0.01 m
k = 2000 N/m
Therefore, the mass (m) is 2 kg and the spring constant (k) is 2000 N/m.
b) Write an initial value problem (IVP) to model the system and solve this IVP to find the position function u(t):
The initial value problem (IVP) for this system is:
m * u''(t) + k * u(t) = 0
u(0) = 0.01 m (initial displacement)
u'(0) = 2 m/s (initial velocity)
To solve this IVP, we assume the solution has the form u(t) = R * cos(ωt + φ), where:
R is the amplitude of motion,
ω is the angular frequency (ω = 2πf),
f is the frequency of oscillation,
φ is the phase angle.
Differentiating u(t) twice gives us:
u'(t) = -R * ω * sin(ωt + φ)
u''(t) = -R * ω² * cos(ωt + φ)
Substituting these into the equation of motion, we get:
-m * R * ω² * cos(ωt + φ) + k * R * cos(ωt + φ) = 0
Since cos(ωt + φ) is non-zero for all t, we can divide the equation by R * cos(ωt + φ):
-m * ω² + k = 0
ω² = k / m
ω = √(k / m)
ω = √(2000 N/m / 2 kg)
ω = √1000 rad/s
ω = 10√10 rad/s
Now we can solve for the position function u(t):
u(t) = R * cos(ωt + φ)
Taking the first derivative:
u'(t) = -R * ω * sin(ωt + φ)
Using the initial conditions:
u(0) = R * cos(φ) = 0.01 m
u'(0) = -R * ω * sin(φ) = 2 m/s
From the first equation, we have cos(φ) = 0.01 m / R.
From the second equation, we have sin(φ) = -2 m/s /
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I need help with this for math
Answer:
x>4
Step-by-step explanation:
It seems there is only one possible solution to this very problem.
The sum of two numbers is nine. Using x to represent the larger of the two numbers, translate "the difference between one more than the larger number and twice the smaller number" then simplify.
Answer:
We have that the sum of two numbers is 9
this can be written as:
x + y = 9
where x is the larger number.
Now we want to write:
"the difference between one more than the larger number and twice the smaller number"
First, remember that the difference between A and B is:
A - B
Then "the difference between one more than the larger number and twice the smaller number"
is:
"one more than the larger number" = ( x + 1)
"twice the smaller number" = 2*y
the difference between these is:
(x + 1) - 2*y
Now we can simplify:
We know that:
x + y = 9
then:
y = 9 - x
replacing that in the equation:
(x + 1) - 2*y
we would get:
x + 1 - 2*(9 - x)
x + 1 -18 + 2x
(x + 2x) + (1 - 18)
3x - 17
This means that we can write:
"the difference between one more than the larger number and twice the smaller number"
as: 3x - 17
Consider selecting two elements, a and b, from the set A = {a, b, c, d, e}. List all possible subsets of A using both elements. (Remember to use roster notation. ie. {a, b, c, d, e}) List all possible arrangements of these two elements.
Possible subsets of A using two elements are:
{a, b}, {a, c}, {a, d}, {a, e},
{b, c}, {b, d}, {b, e},
{c, d}, {c, e},
{d, e}
Possible arrangements of these two elements are:
ab, ac, ad, ae,
bc, bd, be,
cd, ce,
de
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Find the value of x in the proportion. Check your answer.
30
15
14
Х
x=0
what is x?
Answer:
Step-by-step explanation:
Diego Is filling a 1- gallon jug With tea and lemonade. the total amount is less than 1 gallon. what could be the two different amount of tea and lemonade?
you have 11 art projects that weigh 24 pounds. If you give you mom 7 of your art projects, how much would her box weigh?
The weight for mom's boxes is obtained as 41.41 pounds.
What is weight?
Weight gauges how much gravity is pulling on a body.
The weight formula is provided by -
w = mg
Since weight is a force, it has the same SI unit as a force, which is the Newton (N).
Use a proportion to solve this problem.
Since the weight of the art projects is directly proportional to the number of art projects, we can set up the following proportion -
weight of 11 art projects / 11 = total weight / 24
Solving for the total weight -
total weight = (weight of 11 art projects / 11) x 24
total weight = 2.18 x 24
total weight = 52.32 pounds
So the total weight of the 11 art projects is 24 pounds, and if mom gets 7 of them, 4 art projects will be left weighing a total of -
weight of 4 art projects = (weight of 11 art projects - weight of 7 art projects)
weight of 4 art projects = (24 - (7/11) x 24)
weight of 4 art projects = 10.91 pounds
So, mom would be receiving 7 art projects weighing a total of -
weight of 7 art projects = (total weight - weight of 4 art projects)
weight of 7 art projects = (52.32 - 10.91)
weight of 7 art projects = 41.41 pounds
Therefore, mom's box would weigh 41.41 pounds.
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the population of a slowly growing bacterial colony after hours is given by . find the growth rate after 3 hours.
The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²
The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t
The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.
The derivative of a function gives the rate of change of the function.The growth rate of a population is the rate of change of the population.The growth rate of a bacterial colony can be calculated by differentiating the function that represents the population of the colony.To know more about derivative click here
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100pts. Need Answer ASAP
Use the Substitution method, jan is solving the system of equations.
A. 3(−3x + 2) − 2x= −24
B. 3(−3x - 2) − 2x= −24
C. 3x − 2(−3x + 2)= −24
D. 3x − 2(−3x − 2)= −24
62/87,21
y = x + 5
3x + y = 25
Substitute x + 5 for y in the second equation.
Substitute the solution for x into either equation to find y.
The solution is (5, 10).
Divide.
(−1/6)÷(−5/6)
What is the quotient?
Enter your answer as a simplified fraction in the box. please thank you!!!
Answer:
(−1/6)÷(−5/6) which when you cancel gets 0.2 or also 1/5.
Step-by-step explanation:
Which appear to be the roots of the quadratic equation whose related function i in the graph ?
(A) -1,3
(B) -1,1
(C) -3,1
(D) 1,3
Answer:
(A) -1,3
Step-by-step explanation:
BRAINLIEST?At a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box. $
Answer:
$357.5
Step-by-step explanation:
Answer:
347.50
Step-by-step explanation:
you have to put the 0 at the end i didnt and got it wrong.
If three pounds of apples cost $5.25, how much will 10 pounds cost?
show work!!!!
please help
Answer:
10 pounds will cost $17.50
Step-by-step explanation:
(5.25 / 3) * 10 = x
1.75 * 10 = x
17.50 = x
Answer:
10 pounds of apples will cost $17.50.
Step-by-step explanation:
First, we need to find the unit rate.
$5.25/3 = $1.75
Now we need to multiply $1.75 by 10 pounds.
$1.75 × 10 = $17.50