Andrea is buying some new shirts and sweaters. She is Able to buy three shirts and two sweaters for $113 or she is able to buy T-shirts and four sweaters for 166 how many dollars does a shirt cost how many dollars does a sweater cost
Answers
Answer:
y = 28.75
x = 26.5
Step-by-step explanation:
I think the amount of the second T-shirts purchased should be 2
Let the cost of each shirt be $ x, and the cost of each sweater be $ y.
Since the cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and the cost of 2 shorts will be $ 2x.
Likewise, cost of each shirt is $ x, so the cost of 2 shirts will be $ 2x and cost of 4 sweaters will be $ 4y.
Andrea was able to buy 3 shirts and 2 sweaters for $113. This means:
Cost of 3 shirts + Cost of 2 sweaters = 113
Equation 1: 3x + 2y = 113
She was able to buy p shirts and 4 sweaters for $166. This means:
2x + 4y = 166
Dividing both sides by 2, we get:
Equation 2: x + 2y = 84
Subtracting Equation 1 from Equation 2, we get:
x + 2y - (3x + 2y) = 166 - 113
x + 2y - 3x - 2y = 53
2x = 53
x = 26.5
Using the value of x, in Equation 2, we get:
26.5 + 2y = 84
2y = 57.5
y = 28.75
Since, x represents the cost of shirt, the cost of each shirt is $ 26.5.
y represents the cost of sweater, so the cost of each sweater is $ 28.75.
Related Questions
A new apartment building has 33 floors, with 24 apartments on each floor. How many apartments are in the building?
(Partial product)
Red :
Blue :
Green :
Yellow :
Total Product:
Answers
Simple equation when u break it down: 33 x 24=792 apartments
How many apartments are in the building?A building, or edifice, is an enclosed structure with a roof and walls that is standing in one location more or less permanently, such as a house or factory (although there are also portable buildings). Buildings come in a variety of sizes, shapes, and uses, and they have been modified throughout history for a wide range of reasons, including the availability of building materials, weather, land prices, ground conditions, particular uses, prestige, and aesthetic considerations.
given:
new apartments' building =33 floor
apartments on each =24 floor
33*24=792
792 apartments are in the building
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How many elements would the sample space have if we conduct an experiment on the days of the
week?
Answers
There are 7 elements in the sample space for an experiment on the days of the week. They are {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday}.
What is a sample space?The set of possible outcomes of a random experiment is said to be the sample space of the experiment. It is denoted by "S".The sample size is the total number of outcomes in the sample space.The size of the sample space is used for calculating the occurrence of a particular event in the experiment i.e., the probability of the event.What is the sample space for the experiment on the days of the week?A week has 7 days. They are:
Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
So, the random experiment on the days of the week has the sample space as
S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday}
Here each day in the sample space is said to be an element of the sample space.
So, there are 7 elements in the obtained sample space.
Therefore, the sample size n = 7.
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Construct a right triangle. Circumscribe a circle about the right triangle.
a. What relationship does the hypotenuse have with the circle?
b. What would be a quick way to find the center of the circle
Answers
a The hypotenuse of the right triangle is equal to the diameter of the circumscribed circle.
b. The center of the circumscribed circle can be found by drawing the perpendicular bisectors of the sides of the right triangle and finding their intersection point. This intersection point is the center of the circle.
How to explain the triangleA right triangle consists of a hypotenuse and two legs. The hypotenuse, which is the right triangle's longest side and the side opposite the right angle, is where the two legs of the triangle come together at a 90° angle.
By drawing the perpendicular bisectors of the right triangle's sides and locating the point at which they connect, one can determine the center of the circumscribed circle. The circle's center is at this juncture.
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Please help!!!! Circle U is shown. Chords R T and Q S intersect at a point forming 4 angles. The top left angle is angle 1, and the top right angle is angle 2. Arc R Q is 53 degrees and arc S T is 47 degrees. Angle 1 intersepts arc R Q. Angle 2 intersepts arc R S. What are the measures of angles 1 and 2?
m∠1 = °
m∠2 = °
Answers
Answers: angle 1 =50 and angle 2 =130
Step-by-step explanation: on edgen
Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
Answers
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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Mikes mother had 10 children 1 2 3 4 5 6 7 8 9 and 10 what number was mike?
Answers
Answer:
8
Step-by-step explanation:
Thanks I was reading it like "what?" lma oo
But thanks Have a good day!!
Triangle TUV is dilated by a scale factor of \frac{1}{3} 1/3
to form triangle T'U'V'. Side U'V' measures 33. What is the measure of side UV?
Answers
The measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.
What is the scale factor?The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. It is a process of enlarging the image of an object by some factor.
here we have the scale factor
\(Scale \ Factor=\dfrac{1}{3}\)
Since the triangle, TUV is dilated by the scale factor 1/3 then the sides of triangle will also be in the same dilation so we can write.
\(\dfrac{1}{3}=\dfrac{UV}{U'V'}\)
\(\dfrac{1}{3}=\dfrac{UV}{33}\)
\(UV=11\)
Hence the measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.
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HELP PLEASEEE, I WILL MARK BRAINLEST!
Answers
9514 1404 393
Answer:
∠a = 133°∠b = 15°∠c = 75°∠d = 58°Step-by-step explanation:
We don't know the definitions, properties, postulates, or theorems on your list, so we'll use the following:
a right angle measures 90°a straight angle measures 180°the acute angles in a right triangle total 90°an exterior angle of a triangle is equal to the sum of the remote interior anglesthe measure of an angle is equal to the sum of the measures of its parts.__
∠a = 180° -47° = 133°; reasons 2, 5. The angles form a straight angle.
∠b = 47° -32° = 15°; reason 4
∠c = 90° - ∠b = 90° -15° = 75°; reason 3
∠d = 90° -32° = 58°; reasons 1, 5. The angles form a right angle. If you want to get picky, we know it is a right angle by reasons 1 and 2. The marked right angle and the sum of 32° and ∠d together form a straight angle.
<-5x + 4y = 20
10x-8y=-4
Answers
Answer:
To solve the system of equations:
-5x + 4y = 20 (Equation 1)
10x - 8y = -4 (Equation 2)
We can use the elimination method to eliminate one of the variables. Multiplying Equation 1 by 2, we get:
-10x + 8y = 40 (Equation 3)
Now, we can add Equation 2 and Equation 3 to eliminate y:
(10x - 8y) + (-10x + 8y) = -4 + 40
0 = 36
Since 0 does not equal 36, this system of equations has no solution. This means that the two equations represent two lines that do not intersect, so there is no point that satisfies both equations at the same time. Geometrically, this means that the two lines are parallel.
Answer:
No solution (∅)
Step-by-step explanation:
I added a photo of my solution:
Fill in the boxes. 300 000 cm =____ m=____km
Answers
Answer:3000m and 3km
Step-by-step explanation:
To convert from cm to m,divide by 100 and from m to km,divide by 1000
(8.02) An archaeological dig turns up large numbers of pottery shards, broken stone implements, and other artifacts. Students working on the project classify each artifact and assign it a number. The counts in different categories are important for understanding the site, so the project director chooses 2% of the artifacts at random and checks the students' work. What are the population and the sample here
Answers
Answer:
The answer is "Population: All artifacts discovered in the dig. Sample: The selected 2% of the artifacts".
Step-by-step explanation:
The sampling procedure is just the structure or road map towards choosing a sample, and it influences several other important elements of a survey. It provides a fundamental plan including technique for sample selection, and in this, question community of all the items found throughout the dug, and the population of the Sample is 2% of the objects picked.
Joshua asked each of his friends how many coins they donated to the school fundraiser. The range of this set is 110 and the lowest number of coins is 98. what is the greatest number of coins donated
Answers
Answer:
208
Step-by-step explanation:
use the formula x-98=110 since range is the highest number of the group subtracted by the lowest.
please answer this for me love
Answers
Answer:
Step-by-step explanation:
x-intercept is the 3rd box, and y-intercept is the 6th box
A cab company charges a $3.00 flat fee and $0.55 for each additional mile. James has
no more than $25.00 to spend on a ride. How many miles can James travel without
exceeding his spending limit?
find an inequality to solve, graph, and check, and finally write a sentence.
I know no one will do this for me, but please do.
Answers
Answer:
I think the answer is 40.
Step-by-step explanation:
$3 = initial fee; 0.55 = each additional mile
25 - 3 = 22 = (how much money he has left)
22 ÷ 0.55 = 40 = how many miles he can drive
Please look at the image
Answers
Answer:
2) <TWN and <SWM
Step-by-step explanation:
2) <TWN and <SWM
Answer:
(2)
Step-by-step explanation:
This is because they are both vertical to one another!
Hope this helps!
Add the rational expressions and type your answer in simplest form. When typing your answers, type your terms with variables in alphabetical order without any spaces between your characters. \frac{\left(c+2\right)}{3}-\frac{\left(c-4\right)}{4} The numerator is AnswerThe denominator is Answer
Answers
Solve the operation between rationals, proceed as if they were numerical fractions:
\(\begin{gathered} \frac{c+2}{3}-\frac{c-4}{4} \\ \frac{4(c+2)-3(c-4)}{12} \\ \frac{4c+8-3c+12}{12} \\ \frac{c+20}{12} \end{gathered}\)According to this:
The numerator is c+20
The denominator is 12
HELP: Will Award Brainliest! Simplify 17x - 12 = 114 + 3x
Answers
Answer:
x=9
Step-by-step explanation:
17x - 12 = 114 + 3x
First Subtract 3x from both sides
14x - 12 = 114
Add 12 to both sides
14x=126
Divide by GCF (14)
x=9
Hope this helps! Plz award Brainliest : )
Answer:
17x - 12 = 114 + 3x
-3x +12 +12 -3x
Step-by-step explanation:
14x = 126
14/14 = 126/14 = 9
x = 9
Which expression is equivalent to 24 + 15?
Answers
Answer:
23 + 14
Step-by-step explanation:
Its equivalent.
not sure need help
Answers
Answer:
9^8
43046721
Step-by-step explanation:
Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answers
Answer:
Step-by-step explanation:
what percent of 15.5 is 12.9? round to the nearest hundredth of 8%
Answers
Answer:
83.23%
Step-by-step explanation:
Proportioned Value = 12.9
Total Value = 15.5
Percentage = Proportioned Value / Total Value * 100%
= \(\frac{12.9}{15.5}*100\)
= 83.23% (nearest hundredth)
The answer is 83.23%.
To find the percentage, take the ratio between 12.9 and 15.5, and multiply by 100%.
12.9/15.5 × 100%0.8323 × 100%83.23%21. Solve and graph:
7(h+3) > 6(h - 3)
Answers
Answer: h>-39
Step-by-step explanation:
The revenue generated by a company manufacturing lawn mowers is R= -0.5x^2+91x, where x represents the number of mowers produced. The cost to produce the mowers is C= 38x+300,where x is the number of mowers produced.
Find the profit polynomial (Hint: Profit = Revenue - Cost) that describes the total profit generated by the company manufacturing lawn mowers based on the number of mowers produced.
--------------------------.
Give the profit earned if 53 mowers are sold. ------------
add work please
Answers
The profit generated by the company manufacturing lawnmowers is given by the polynomial -0.5x²+ 53x - 300, where x is the number of mowers produced.
The profit generated by the company manufacturing lawn mowers is the difference between the revenue and the cost, so we can subtract the cost polynomial C= 38x+300 from the revenue polynomial R= -0.5x²+91x to obtain the profit polynomial:
P(x) = R(x) - C(x)
P(x) = (-0.5x²+91x) - (38x+300)
P(x) = -0.5x² + 53x - 300
Therefore, the profit generated by the company manufacturing lawnmowers is given by the polynomial -0.5x²+ 53x - 300, where x is the number of mowers produced.
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Suppose a pendulum is L meters long. The time, f, in seconds that it takes to swing back and forth once is given by t=2.01 √L. If a pendulum is 13.69
meters long, how long does it take to swing back and forth once?
Round your answer to the nearest tenth.
Answers
Rounded to the nearest tenth, the approximate duration for one swing of a pendulum with a length of 13.69 meters is 7.7 seconds.
We are given that the time, t, in seconds it takes for a pendulum to swing back and forth once is given by:
t = 2.01√L
where L is the length of the pendulum in meters.
We are asked to find the time it takes for a pendulum of length 13.69 meters to swing back and forth once. So we can substitute L = 13.69 into the equation above to get:
t = 2.01√(13.69) ≈ 2.01 × 3.7 ≈ 7.7
Therefore, the time it takes for a pendulum of length 13.69 meters to swing back and forth once is approximately 7.7 seconds (rounded to the nearest tenth).
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Consider the polynomial function g(x) = 8x5 + ax4 + 5x + 20, where a is an unknown real number. If (x+4) is a factor of g(x), what is the value of a?
Answers
\(g(x) =8x^5 + ax^4 +5x +20 \\\\\text{If}~ x +4 ~ \text{is a factor of g(x) then,}~ \\\\g(-4)=0\\\\\implies 8(-4)^5 +a(-4)^4+5(-4) +20 = 0\\\\\implies 256a -8192 = 0\\\\\implies a = \dfrac{8192}{256} = 32\)
What is the image of R for a dilation with center (0,0) and a scale factor of 1 1/2?
Answers
Answer: The image is (6,-3)
Step-by-step explanation:
The coordinates of R is ( 4,-2) and to find the image using the scale factor 1.5 you will multiply the x coordinates by 1.5 and the y coordinate also by 1.5 to have the new image of R.
4 * 1.5 = 6
-2 * 1.5 = -3
The new coordinates care (6, -3)
Your turn: Type in two addition expressions, both of which have an output value of -100.
1) Use two negative numbers.
2) Use one positive number and one negative number.
Answers
Answer:
-50 + -50
only negative...sorry.
7) Emily found a pair of jeans on sale for $60. The regular price of the jeans was $80.
What was the percent of change Jasmine saved on the jeans?
Answers
given that
(the question is 21) pleaseee answer fast!! it’s due super sooooonnnnnnn
Answers
Answer:
B
Step-by-step explanation:
Bc if u search it u p
A football player scores 40 goals in 60 games find the rate of scoring goals per game
Answers
Answer:
0.7 (rounded)
Step-by-step explanation:
Step-by-step explanation:
40 goals/60 games
40/60 = 0.7 (rounded)
So, the football player's rate of scoring per game is 0.7
Step-by-step explanation:
40 goals/60 games
40/60 = 0.7 (rounded)
So, the football player's rate of scoring per game is 0.7