amy is at the store to buy shorts and pants. the shirts cost $40 each and the pants cost $50 each. she plans to spend no more than $400 and buy at least 5 items. Find a possible combination of shirts and pants she can buy. How do you know this is a solution? what are two possible ways to show that this is a solution.
tysm if u help me ☺️
Answers
Answer:
(a) Amy can buy 5 shirts and 4
(b) The combination is correct because it satisfies both inequalities
(c) The two possible ways to show that she can buy is 5 shirt and 4 pants are;
(1) Mathematically
(2) Graphically
Step-by-step explanation:
The given parameters are
The cost of each shirt = $40
The cost of each pant = $50
The amount Amy plans to spend ≤ $400
Let x represent the number of shirts Amy buys and let y represent the number of pants she buys, therefore, we have;
40 × x + 50 × y ≤ 400...(1)
x + y ≥ 5...(2)
Making y the subject of both inequalities gives;
For the inequality (1), we have;
40 × x + 50 × y ≤ 400
y ≤ (400/50) - (40/50) × x = 8 - (4/5)·x
y ≤ 8 - (4/5)·x
For the inequality (2), we have;
x + y ≥ 5
y ≥ 5 - x
Plotting both inequalities using the chart function in Microsoft Excel gives;
(a) As seen from the graph of the system of inequalities, Amy can buy 5 shirts and 4
(b) The combination of 5 shirts and 4 pants as a solution is correct because the value of the total number of the combination is larger than 5 (5 + 4 = 9 > 5) and the cost of 5 shirts plus 4 pants = $400
(c) The two possible ways to show that the combination of shirts and pants that Amy can buy is 5 shirt and 4 pants is a possible solution are;
(1) Mathematically, x = 5, y = 4
Therefore, y ≤ 8 - (4/5) × x gives;
4 ≤ 8 - (4/5) × 5 which is correct and
From y ≥ 5 - x gives;
4 ≥ 5 - 5 = 0, Which is also correct
(2) By plotting a graph of the system of inequalities as included
Answer: Yes that is correct Explanation:
Related Questions
Pam has two part-time jobs. At one job, she works as a cashier and makes $8 per hour. At the second job, she works as a tutor and makes$12 per hour. One week she worked 30 hours and made$268 .
Answers
Step-by-step explanation:
Cashier: 8$/ hr
Tutor: 12$/hr
made $268 for 30 hours
C = # of hours for cashier
T= # of hours for tutor
*For these type of equations, keep $ with $ and quantity with quantity
So you would the 8/hr to 12/hr to equal the total money and add the quantity(in this equation c and t) with the total hours.
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Answer:
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Step-by-step explanation:
A computer valued at $2500 loses 6.5% of its value every year. How much will it be worth in 4 years?
Answers
Answer:
The computer will be worth $1,850 after four years.
Step-by-step explanation:
We need to find 6.5% of $2,500.
2,500 x 0.065 = $162.50
Therefore, the computer value decreases by $162.50 each year. Since we need to know the computer value after 4 years, we also need to multiply the value of decrease by 4.
162.5 x 4 = $650
Therefore, after 4 years, the computer value will decrease by $650.
To find the whole computer value after 4 years, we need to subtract the initial value of $2,500 by the 4-year decreasing value of $650.
2,500 - 650 = $1850
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Hope this helps! :D
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Answers
Answer:
sorry
Step-by-step explanation:
sorry i thought i clould do this but i cant
-7 <= x+2/4
solve the inequality
Answers
Step-by-step explanation:
do you mean ≤ if so check this solution out
-7≤x+2/4
find the LCM of X+2/4
LCM=4x+2 /4
-7≤4x+2/4
then you cross multiply
-28≤4x+2
collect like terms
-28-2≤4x
-30≤4x
X=-7.5
I hope it helps
write 9 times 9 times 4 times 4 times 4
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Answer:
9 times 9 times 4 times 4 times 4=5184
Due Tomorrow at 4 help me
Answers
Answer:
question 1: option C (1)
question 2: option A (3)
Step-by-step explanation:
hope it helps!
Answer:
1- 1
2-3
3- -1/8
Step-by-step explanation:
I used a calculator :/
Solve for x.
21x – 4
20x
Answers
Answer:Think x is 3
Step-by-step explanation:
Help me please it’s a very important question
Answers
Hydrogen gas is being pumped into a spherical object so that its radius increases at 0.03 centimeters per second. How fast is the volume increasing when r = 10 centimeters?
`V = 4/3 pir^3`
A.
3.768 cm3/s
B.
37.68 cm3/s
C.
75.36 cm3/s
D.
113.04 cm3/s
Answers
Answer:
He's right it's B. 37.68 cm^3/s
Step-by-step explanation:
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by
f(x) = 3000 + 100x, where x represents the number of years after 2000.
Which of the following is the most reasonable domain and range for the function?
Answers
Answer:
x_>0_>3000
Step-by-step explanation:
I saw the answer key :)
PLEASE HELP
Two computer technicians both charge a fee for a home visit ,plus an hourly rate for their work. Dana charges a $64.95 fee, plus $45/h. Tom charges a $79.95 fee, plus $40/h. For what length of service call do Dana and Tom charge the same amount?
Answers
Answer:
Step-by-step explanation:
If they both charge for 3hours then
Dana charges = 64.95 + 45 + 45 + 45 = 199.95
Tom charges = 79.95 + 40 + 40 + 40 = 199.95
Both charge the same amount for service call of 3 hours
Dana and Tom would charge the same amount for a 3 hour length of service.
What is Equation?.Equation is a statement in mathematics where the two sides namely, left hand side and the right hand side are separated using an equal to (=) sign. This means that the expressions on both sides have the same value.
Equations may or may not involve variables.
Equations are classified as linear and quadratic based on the degree of the variable is 1 and 2 respectively.
First we make an equation regarding the charge of Dana and Tom.
Fixed fee of Dana = $64.95
Hourly rate for Dana = $45 per hour
Total charge of Dana for any time x = 64.95 + 45x
Fixed fee of Tom = $79.95
Hourly rate for Tom = $40 per hour
Total charge of Tom for any time x = 79.95 + 40x
Dana and Tom would have the same amount at a length x when these two equations are equal.
64.95 + 45x = 79.95 + 40x
Taking like terms on the same side,
45x - 40x = 79.95 - 64.95
5x = 15
x = 15/5
x = 3
Hence, for a service of 3 hours, both Dana and Tom would have the same charge.
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cooper got 60% off a pair of shoes. if the sale price of the shoes was $19.75 before tax, what was the original
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Answer:
It would be (rounded up) 32.92. (not rounded up) 32.91666667
Step-by-step explanation:
What does the y in y= MX +b stand for?
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Answer:
slope intercept form
Step-by-step explanation:
y=mx+b means slope intercept form always
Answer:
slope intercept form
Step-by-step explanation:
your MX is your slope and b is your initial value or your y intercept form
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Answers
Answer:
Angle O congruent to Angle S, because this would pass the SAS proof. (Side Angle Side)
So like tell me the answer I think it’s like either 3 or 6a^9 but I’m not sure
Answers
I'm not sure what you mean by 3 or 6a^9, since there are only variables in the photo, but we can try breaking it down.
Let's start with the bottom,
a^2 * a^3 would be a^5 because for exponents you add the exponents of what's multiplied (product rule)
Then using the quotient rule, where you subtract the exponents, a^5/a^5 = a^(5-5)
And anything to the 0th power is 1, so your answer should be 1
Hope that helps!
3(2x + 4) + 2(x-2)
Match the equivalent expressions
Answers
Answer:
3(2x+4)+2(x-2)
6x+12+2x-4
6x+2x+12-4
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I am from grade 9 from which grade are you
In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
Answers
Answer:
2880
Step-by-step explanation:
The total number of people affected by flu during the 2nd and 3rd week of January, 1200 + 1680 = 2880
Answer
2880
Step-by-step explanation:
6) Cassie and Gabby are selling pies for a school fundraiser. Customers can buy apple pies and lemon pies. Cassie sold 6 apple pies and 4 lemon pies for a total of $80. Gabby sold 6 apple pies and 5 lemon pies for a total of $94. What is the cost of each pie?
I need help plz
Answers
Explanation:
Cassie sold 6 apple pies and 4 lemon pies for 80$
Gabby sold 6 apple pies and 5 lemon pies for 94$
They both sold 6 apple pies but gabby sold 1 lemon pie more than Cassie and her total increase by 14$. Thus, we can say that 1 lemon pie = 14$.
If 1 lemon pie = 14$ then 5 lemon pie = 14 x 5 = 70$
And:
6 apple pies + 70$ = 94$
6 apple pies = 94 - 70
6 apple pies = 24
1 apple pie = 24/6 = 4$
Therefore, 1 apple pie = 4$ and 1 lemon pie = 14$
Question 15 h(x) = 2x + 8 when x = 6. Evaluate
Answers
Answer:
h(6) = 20
Step-by-step explanation:
h(x) = 2x + 8
h(6) = 2(6) + 8
h(6) = 12 + 8
h(6) = 20
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Answer:
Line J
Step-by-step explanation:
It is sloping downwards. It starts in the top left and end at the bottom right, so it it the only negative one
Answer:
Line J
Step-by-step explanation:
Its the only one descending downwards, while the other two are going up in a positive direction.
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Answer:
a front between warm and cold air masses that is moving very slowly or not at all.
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Answer:
100 answer
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Answer:
(2,-2) & (0,4)
Step-by-step explanation:
A truck is 180 inches long. A car is 30% shorter than the truck. How long is the car?
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Answer:
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Step-by-step explanation:
Matt has soccer practice on May 4th you will practice every fourth day after that I can't begins baseball practice every third day after that What will be the first date on which they both have practice
Answers
Answer:
May 12th
Step-by-step explanation:
On 12th they both practice together.
What is Least Common Multiple?Least Common Multiple is the meaning of the abbreviation LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers. Finding the LCM of a given collection of numbers can be done in a variety of ways.
In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
Given:
Matt practice every fourth day.
I practice on 3rd days
Now, to find the first date on which they both have practice we have to find the LCM
So, 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Hence, On 12th they both practice together.
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Which equation could be used to solve for a value, x, that is equal to 5 times the sum of x and 12?
x = 5x = 12
5x = x + 12
x = 5(x + 12)
x = x + (5)(12)
Answers
That’s the equation. C. Would be correct
x + 8 = 20
How would I do this?
A.
Add 8 to both sides
B .
Multiply both sides by 8
C .
Divide both sides by 8
D .
Subtract 8 from both sides
Answers
Answer:
D. Subtract 8 from both sides
Step-by-step explanation:
you will have x= 12 which will be the answer :)
Answer:
D.
Subtract 8 from both sides
Step-by-step explanation:
