Corinne and Justine sold jewelry at a bazaar. They sold some for
$9.50 a piece, and then dropped the price to $7.50 a piece. In total they
sold 90 pieces for $721. Find how many they sold at $9.50
Answers
Using a system of equations, it is found that they sold 23 pieces at $9.50.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given by:
Variable x: Amount sold at $9.50.Variable y: Amount sold at $7.50.They sold 90 pieces, hence:
x + y = 90.
Since we want x:
y = 90 - x.
They earned $721, hence:
9.5x + 7.5y = 721.
Since y = 90 - x:
9.5x + 7.5(90 - x) = 721
2x = 46
x = 23.
They sold 23 pieces at $9.50.
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Related Questions
Picture is attached
Answers
Answer:
30.25 pi
Step-by-step explanation:
A circumference is pi times diameter, so the radius would be 5.5 inches. The formula for the area is pi r squared so just plug in 5.5 as the r.
56· 328+162· 44+166· 44−x =0
find x
the dot is to mutiply
Answers
Answer:
x = 32800
Step-by-step explanation:
56 × 328 + 162 × 44 + 166 × 44 - x = 0
18368 + 7128 + 7304 − x = 0
32800 - x = 0
-x = -32800
x = 32800
Answer:
x = 32,800
Step-by-step explanation:
(56)(328)+(162)(44)+(166)(44)−x=0
18368+7128+7304+−x=0
(−x)+(18368+7128+7304)=0
−x+32800=0
−x+32800=0
−x+32800−32800=0−32800
−x=−32800
−x
−1
=−32800
−1
x=32800
Identify all of the vertical pairs
Answers
The pair of vertical angles are;
<E and <F
<T and < U
What are vertical angles?Vertical angles are defined as a pair of non-adjacent angles formed when two lines intersect.
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
A pair of vertically opposite angles are always equal to each other.
These angles are congruent and of the same measure.
From the diagram shown, we have the angles as;
Vertical pairs as;
<E and <F
<U and < T
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find the measure of ONE interior angle of a regular polygon with the given number of sides.
A. 6
B. 10
C. 15
Answers
Answer:
156
Step-by-step explanation:
Answer:
the answer is c.
Step-by-step explanation:
Sort each expense as either a fixed expense or a variable expense.
monthly rent
ixed Expense
Variable Expense
car payment
movies
savings for new guitar
snacks
video games
Answers
Answer:
fixed - monthly rent, car payment, savings for new guitar
variable - movies, video games, snacks
Step-by-step explanation:
Fixed costs are costs that do not vary with output.
the amount of rent paid is fixed.
Variable costs are costs that vary with production
the amount paid at the movies depend on the number of movies watched
4.25x10 to the power of 3 in standard notation
Answers
The basic idea is that multiplying by 10 just moves the decimal point one place to the right. It makes the number bigger.
Examples:
3.1 x 10 = 31
3.1 x 10 x 10 = 31 x 10 = 310
Each time you multiply by another 10, the decimal point moves one more place.
In your exercise, \(10^3\) says you're going to multiply by 10 three times in a row. So that will move the decimal point 3 places to the right.
So what do you get if you move the decimal in 4.25 three places to the right?
Let f (x, y) be a continuous function of x and y, which is independent of x, that is, f (x, y) = g(y) for some one-variable function g. Suppose that, .3 10 | g(x)dx = 10 J g(x)dx = 1 and Find f dA, where R is the rectangle 0sx<3,0sys 10 R
Answers
A continuous function is a function where small changes in the input result in small changes in the output, with no abrupt jumps or breaks in the function's graph.
Since f(x,y) is independent of x, we can write it as f(x,y) = g(y). We are given that the integral of g(x) from 0.3 to 10 is 1, so we can write:
∫0.3^10 g(x) dx = 1
Using this information, we can find g(y) by integrating g(x) with respect to x:
g(y) = ∫0.3^10 g(x) dx / ∫0^10 dx
g(y) = 1 / 9.7
Now, we can find f(x,y) by substituting g(y) into f(x,y) = g(y):
f(x,y) = g(y) = 1 / 9.7
We need to find the integral of f(x,y) over the rectangle R, which is:
∫0^3 ∫0^10 f(x,y) dy dx
∫0^3 ∫0^10 1 / 9.7 dy dx
(1 / 9.7) ∫0^3 ∫0^10 dy dx
(1 / 9.7) * 3 * 10
= 3.0928
Therefore, the value of the integral of f(x,y) over the rectangle R is 3.0928.
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1. A rectangular prism and its dimensions are shown in the
diagram.
2 in.
3.4 in.
8.2 in.
What is the total surface area of this rectangular prism in
square inches?
Answers
Answer:
102.16
Step-by-step explanation:
2(2*3.4+2*8.2+3.4*8.2)=102.16
class extends value undefined is not a constructor or null
Answers
What? What do you mean?
One number is six more than the other number . thesum of their squares is 90
Answers
Answer:
the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.
1. The following information is available for Elwes Company for the year ended December
31, 2023:
Accounts payable
Accumulated depreciation-equipment
Common stock
Retained earnings
Intangible assets
Notes payable (due in 5 years)
Accounts receivable
Cash
Short-term investments
Equipment
Long-term investments
$3,800
4,000
5,000
4,300
2,300
5,000
1,500
2,800
1,000
8,800
5,700
Instructions
Use the above information to prepare a classified balance sheet for the year ended December
31, 2023.
BALANCE SHEET
Answers
We appreciate your sharing the details about Mullen Company's 2017 fiscal year that concluded on December 31. The data was broken out as follows: Assets: Cash: $2,600Expenses payable: $1,500
What is December 31.?As the year's conclusion and the traditional deadline for a number of financial and tax-related tasks, December 31 is a crucial day for both businesses and people.
here, we have,
It frequently signifies the conclusion of a fiscal year for businesses, and they may use this day to shut their books and create financial statements. The deadline for making various tax-related choices or donations that might affect an individual's or business's tax burden for the year is December 31. This makes it an important day for tax reasons. Overall, as people and organisations get ready for the coming year, December 31 is a time for introspection, analysis.
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Using the accompanying Home Market Value data, develop a multiple linear regression model for estimating the market value as a function of both the age and size of the house. State the model and explain R2, Significance F, and p-values, with an alpha of 0.05.
House Age Square Feet Market Value
33 1836 92983
33 1819 106188
31 1812 89291
35 1744 87156
32 1868 104182
34 1969 105044
34 1804 88079
31 1935 99151
30 1737 91986
35 1649 88189
30 1899 105765
33 1641 99341
31 1694 89235
34 2306 109962
30 2409 110968
32 1666 85216
30 2224 116878
32 1622 98972
31 1732 90151
34 1724 87337
29 1541 84303
26 1548 75929
28 1523 82067
28 1531 83625
28 1431 80207
28 1551 80205
29 1591 89417
28 1644 91308
28 1412 85156
29 1520 87092
28 1495 91700
28 1456 89713
28 1548 78479
28 1504 81738
28 1717 87576
28 1658 78752
28 1712 93275
28 1539 82211
28 1527 104262
28 1449 88024
27 1766 93914
26 1656 117328
State the model for predicting MarketValue as a function of Age and Size, where Age is the age of the house, and Size is the size of the house in square feet.
MarketValue= ________+(________)Age+(________)Size
(Type integers or decimals rounded to three decimal places as needed.)
The value of R2, ________ indicates that _______ % of the variation in the dependent variable is explained by these independent variables.
The Significance F is _______
(Type an integer or decimal rounded to three decimal places as needed.)
The Age p-value is_________
(Type an integer or decimal rounded to three decimal places as needed.
Answers
MarketValue = 74625.825 - 158.109 * Age + 60.094 * Size ; The value of R2 is 0.748, ; The Significance F is 16.457. ; The Age p-value is 0.000.
The multiple linear regression model is represented by the equation:
MarketValue = β₀ + β₁ * Age + β₂ * Size
where β₀, β₁, and β₂ are the coefficients representing the intercept, the effect of age, and the effect of size on the market value, respectively.
In this case, the model becomes:
MarketValue = 74625.825 + (-158.109) * Age + 60.094 * Size
The R2 value is a measure of how well the model fits the data. It represents the proportion of the variation in the dependent variable (market value) that can be explained by the independent variables (age and size). An R2 value of 0.748 indicates that approximately 74.8% of the variation in the market value can be explained by age and size.
The Significance F value is a measure of the overall significance of the model. It tests the null hypothesis that all the regression coefficients are zero. In this case, the Significance F value is 16.457, which suggests that the model is statistically significant at the 0.05 level. Therefore, we can conclude that the independent variables collectively have a significant impact on the market value.
The p-value for each variable indicates the statistical significance of that variable's contribution to the model. In this case, the p-value for the Age variable is 0.000, which is less than 0.05. This means that the age of the house has a statistically significant impact on the market value. The coefficient (-158.109) associated with the Age variable suggests that, on average, for each year increase in the age of the house, the market value decreases by $158.109.
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when graphing the inequality on a number line, is x< 3 a segment, a ray or rays, a point, or a line
Answers
Answer:
A ray
Step-by-step explanation:
There is an open circle at x = 3, and the graph goes infinitely left.
AABC is a dilation of ADEF with center (0, 0). What is the scale factor?
1/3
1/2
3
1/4
Answers
The scale factor when AABC is a dilation of ADEF with center (0, 0) is 1/3.
What is scale factor?A scale factor is a number that scales, or multiplies, some quantity. In the context of geometry, a scale factor is a ratio that describes how the dimensions of one geometric figure are related to the dimensions of another similar figure. Similarly, if a two-dimensional shape is scaled up or down by a factor of k, then all of its linear dimensions (such as length, width, and height) are multiplied by k, and its area is multiplied by k².
Here,
In triangle ABC,
AB=6 units
In triangle DEF,
DE=2 units
Scale factor=DE/AB
=2/6
=1/3
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Find the perimeter of a square with each side measuring 2 inches. a. 6 in c. 2 in b. 8 in d. 4 in
Answers
Therefore , the perimeter of the square comes out to be 8 inches.
What is perimeter?The complete length of a shape's boundary, as used in geometry, is referred to as the shape's perimeter. Adding the lengths of all the edges and edges that surround a form yields its perimeter. It is calculated using linear distance units as centimeters, metres, inches, or feet.
Here,
Given : sides of square = 2 inches
Thus ,
Using perimeter formula of square = 4a
Where a is the side of square
The square has 4 sides and each one measure 2 inches
So
=> perimeter = 4a
=>2*4=8
Therefore , the perimeter of the square comes out to be 8 inches.
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Use the diagram to the right to complete the statement.
Answers
Answer:
∠ GOF = 55°
Step-by-step explanation:
∠ LON and ∠ GOF are vertically opposite angles and are congruent, then
∠ GOF = 55°
Professor burger orders flowers to be delivered to his mother. The flowers cost $59.95, not including tax. If there is a 6% sales tax
Answers
Answer:
$3.60
Step-by-step explanation:
The sales tax on the flowers would be $3.60, which is 6% of the cost of the flowers ($59.95 x 0.06 = $3.60). Therefore, the total cost of the flowers including tax would be $63.55 ($59.95 + $3.60).
Hi I'm looking to solve this question for my work but I'm super stuck and I need help asap. Thsnks
6w = 4w + 9
Answers
A. 9
B. 0
C. -9
D. 6
Answers
Answer:
Step-by-step explanation:
the answer would be -9 only because the sum is all postive instead of negative
Part D In the scale drawing, what will the length of the west side of the backyard be?
NEED HELP ASAP WILL GIVE BRAINIST TO BEST AWNSER
Answers
Answer: answer witten in the picture attached to this......
Jonczyk Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost $454,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $68,000. Project B will cost $300,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $47,000. A discount rate of 9% is appropriate for both projects. Click here to view PV table.
Calculate the net present value and profitability index of each project. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answers to 0 decimal places, e.g. 125 and profitability index answers to 2 decimal places, e.g. 15.52. For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124.)
Answers
Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.
A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.
Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14
Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96
The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.
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Someone explain please
Answers
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
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(4.7 x 107) + (3.4 x 10)
Answers
Answer:
536.9
Step-by-step explanation:
SCIENTIFIC NOTATION #1 math Win 40 ART A: Write each of the measurements below using standard notation. 2. A hou 1. An elephant weighs 1.3 x 104 lbs. 30000 00 ART B: Write each of the measurements below using scientific notation. 3. An airplane flies 560 kilometers/hour 4. A sed ex lol
Answers
Part C:
4.
Answer:
The United states population is 5 times larger than the United Kingdom population.
Explanation:
Given in the question;
The United states has a population of
\(3\times10^8=300,000,000\)While, The United Kingdom has a population of
\(6\times10^7=60,000,000\)The ratio of the population of the United states to that of the United Kingdom is;
\(\begin{gathered} r=\frac{3\times10^8}{6\times10^7}=\frac{300,000,000}{60,000,000} \\ r=\frac{30}{6} \\ r=5 \end{gathered}\)Therefore, the United states population is 5 times larger than the United Kingdom population.
Which represents the value of Point on the number line?
c С
D
0
O-3
O-1
1
04
Answers
Answer:
c
Step-by-step explanation:
asdfghj
Find the value of x that makes 25x^2 + 70x + c a perfect square trinomial
Answers
The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.
To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.
A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.
In this case, a = 25, so b = (1/2)(70) = 35.
Expanding (ax + b)^2, we have:
(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2
= 25x^2 + 70x + 1225.
Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.
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Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?
Answers
Answer:
C
Step-by-step explanation:
used a calc and took test
Please help me with this
Answers
Answer:
The scale factor is 3
Step-by-step explanation:
The reason is that 12, 15, and 9 equal 4, 3, and 5 if divided by 3
Solve these problems and give the answer with the correct number of significant figures: (4.307×10^4)×(6.2×10^−3)= 26.127+3.9+0.0324=
Answers
Let's solve the problems and provide the answers with the correct number of significant figures:
(4.307 × 10^4) × (6.2 × 10^-3)
Multiplying the numbers:
(4.307 × 6.2) × (10^4 × 10^-3) = 26.6974 × 10^1
Since the result is in scientific notation, we multiply the decimal part by the power of 10:
26.6974 × 10^1 = 266.974
To express the answer with the correct number of significant figures, we consider the least number of significant figures in the original values, which is three significant figures in this case.
Therefore, the answer is 267 with three significant figures.
26.127 + 3.9 + 0.0324
Adding the numbers:
26.127 + 3.9 + 0.0324 = 30.0594
To express the answer with the correct number of significant figures, we consider the least number of decimal places in the original values, which is one decimal place in this case.
Therefore, the answer is 30.1 with one decimal place.
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What the answer pls…
