Answers
500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.
=============================================================
Explanation:
s = number of pairs of shoes
50s = amount spent on shoes ($50 per pair)
50s+400 = total amount spent on shoes and uniforms
That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s
We have enough info to determine the answer must be choice B
We can stop here if you wanted.
----------
Let's solve that equation for s
500 = 400 + 50s
400 + 50s = 500
50s = 500-400 .... subtract 400 from both sides
50s = 100
s = 100/50 .... divide both sides by 50
s = 2
This means he can buy 2 pairs of shoes.
Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.
Related Questions
what is the area of the triangle below with a side length of 4
Answers
All angles of triangles is equal means that that triangle is equailateral triangle with side of a = 4 in.
The formula for the area of equilateral triangle is,
\(A=\frac{\sqrt[]{3}a^2}{4}\)Substitute 4 for a in the formula to determine the area of the triangle.
\(\begin{gathered} A=\frac{\sqrt[]{3}}{4}\cdot(4)^2 \\ =4\sqrt[]{3} \end{gathered}\)So area of triangle is,
\(4\sqrt[]{3}\)Can someone help me please
A population of bacteria is growing according to the equation p(t)=1950e^0.16t Estimate when the population will exceed 6371.
t= -------------
Answers
The estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units
How to deal with exponential function?To estimate when the population will exceed 6371, we can set up the inequality:
p(t) > 6371
where p(t) is the population at time t, as given by the equation \(p(t) = 1950e^{0.16t}\)
Substituting the expression for p(t) into the inequality, we get:
\(1950e^{0.16t} > 6371\)
Next, we can divide both sides of the inequality by 1950 to isolate the exponential term:
\(e^{0.16t} > 6371 / 1950\)
To solve for t, we can take the natural logarithm (ln) of both sides, which will eliminate the exponential term:
\(ln(e^{0.16t} > ln(6371 / 1950)\)
Using the property of logarithms that ln(e^x) = x, we get:
\(0.16t > ln(6371 / 1950)\)
Now, we can divide both sides of the inequality by 0.16 to solve for t:
\(0.16t / 0.16 > ln(6371 / 1950) / 0.16\)
Simplifying, we get:
\(t > ln(6371 / 1950) / 0.16\)
Using a calculator, we can find the approximate value of \(ln(6371 / 1950) / 0.16\), which is approximately 20.33 (rounded to two decimal places).
So, the estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units
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An airplane flies 300 km in 5/12 hours. What is its average speed tr kitometers per hour?
Answers
Answer:
adjective. damaged or spoiled to a certain extent; made less perfect, attractive, useful, etc.: We can all get preoccupied with the marred aspects of our character.
Step-by-step explanation:
what is the perimeter of the rectangle below
Answers
Answer:
66
Step-by-step explanation:
solve x^3-7x^2+7x+15
Answers
Step-by-step explanation:
\underline{\textsf{Given:}}
Given:
\mathsf{Polynomial\;is\;x^3+7x^2+7x-15}Polynomialisx
3
+7x
2
+7x−15
\underline{\textsf{To find:}}
To find:
\mathsf{Factors\;of\;x^3+7x^2+7x-15}Factorsofx
3
+7x
2
+7x−15
\underline{\textsf{Solution:}}
Solution:
\textsf{Factor theorem:}Factor theorem:
\boxed{\mathsf{(x-a)\;is\;a\;factor\;P(x)\;\iff\;P(a)=0}}
(x−a)isafactorP(x)⟺P(a)=0
\mathsf{Let\;P(x)=x^3+7x^2+7x-15}LetP(x)=x
3
+7x
2
+7x−15
\mathsf{Sum\;of\;the\;coefficients=1+7+7-15=0}Sumofthecoefficients=1+7+7−15=0
\therefore\mathsf{(x-1)\;is\;a\;factor\;of\;P(x)}∴(x−1)isafactorofP(x)
\mathsf{When\;x=-3}Whenx=−3
\mathsf{P(-3)=(-3)^3+7(-3)^2+7(-3)-15}P(−3)=(−3)
3
+7(−3)
2
+7(−3)−15
\mathsf{P(-3)=-27+63-21-15}P(−3)=−27+63−21−15
\mathsf{P(-3)=63-63}P(−3)=63−63
\mathsf{P(-3)=0}P(−3)=0
\therefore\mathsf{(x+3)\;is\;a\;factor}∴(x+3)isafactor
\mathsf{When\;x=-5}Whenx=−5
\mathsf{P(-5)=(-5)^3+7(-5)^2+7(-5)-15}P(−5)=(−5)
3
+7(−5)
2
+7(−5)−15
\mathsf{P(-5)=-125+175-35-15}P(−5)=−125+175−35−15
\mathsf{P(-5)=175-175}P(−5)=175−175
\mathsf{P(-5)=0}P(−5)=0
\therefore\mathsf{(x+5)\;is\;a\;factor}∴(x+5)isafactor
\underline{\textsf{Answer:}}
Answer:
\mathsf{x^3+7x^2+7x-15=(x-1)(x+3)(x+5)}x
3
+7x
2
+7x−15=(x−1)(x+3)(x+5)
\underline{\textsf{Find more:}}
Find more:
how many different choices of car does a person have if a particular model comes in 11 colors and 4 styles
Answers
Answer:
44 options
Step-by-step explanation:
In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from, meaning that all 4 styles also have 11 colors to choose from and vice versa.
11 * 4 = 44
Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.
Helpppplpp fastttttt
Answers
Answer:3/4
Step-by-step explanation: 1/4 times 3 equals 3/4
[Economics, three part, 100 points]
The graph shows the average total cost (ATC) curve, the marginal cost (MC) curve, the average variable cost (AVC) curve, and the marginal revenue (MR) curve (which is also the market price) for a perfectly competitive firm that produces terrible towels. Answer the three accompanying questions, assuming that the firm is profit-maximizing and does not shut down in the short run.
1) What is the firm's total revenue?
2) What is the firm's total cost?
3) What is the firm's profit? (Enter a negative number for a loss.)
![[Economics, three part, 100 points]The graph shows the average total cost (ATC) curve, the marginal cost](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/zD7PFjyDK04fLQSfmEoDNV6C2JtweAGa.png)
Answers
The three accοmpanying questiοns, assuming that the firm is prοfit-maximizing and dοes nοt shut dοwn in the shοrt run
1)Firm's Tοtal Revenue= $78000
2)Firm's Tοtal Cοst =$128700
3)Firm's Lοss = - $50700
What is wοrd prοblem?Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.
Here in the given graph,
Cοst per unit = $300
Equilibrium quantity = $260 Then,
Firm's Tοtal Revenue = P * Q
=> $300*260 = $78000 (Equilibrium where, MR = MC)
Firm's Tοtal Cοst = Cοst per Unit * equilibrium quantity
=> $495*260 = $128,700
Firm's Lοss = TR - TC
=> $78000 - $128,700 = - $50700
Hence the answers are,
1)Firm's Tοtal Revenue= $78000
2)Firm's Tοtal Cοst =$128700
3)Firm's Lοss = - $50700
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Simplify 4(3v + 2)
12v + 8
12v + 2
7v - 2
5v
Answers
Explanation: you would need to distribute (multiply) whatever is in the parentheses
The population of a city in 2000 was 500,000 while the population of the suburbs of that city in 2000 was 700,000. Suppose that demographic studies show that each year about 6% of the city's population moves to the suburbs (and 94% stays in the city), while 2% of the suburban population moves to the city (and 98% remains in the suburbs). Compute the population of the city and of the suburbs in the year 2002. For simplicity, ignore other influences on the population such as births, deaths, and migration into and out of the city/suburban region.
Answers
Answer:
The population of the city in 2002 is 469,280 while the population of the suburb is 730,720.
Step-by-step explanation:
6% of the city's population moves to the suburbs (and 94% stays in the city).2% of the suburban population moves to the city (and 98% remains in the suburbs).The migration matrix is given as:
\(A= \left \begin{array}{cc} \\ C \\S \end{array} \right\left[ \begin{array}{cc} C&S\\ 0.94&0.06 \\0.02&0.98 \end{array} \right]\)
The population in the year 2000 (initial state) is given as:
\(\left[ \begin{array}{cc} C&S\\ 500,000&700,000 \end{array} \right]\)
Therefore, the population of the city and the suburb in 2002 (two years after) is:
\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right\left[ \begin{array}{cc} 0.94&0.06 \\0.02&0.98 \end{array} \right]^2\)
\(A^{2} = \left[ \begin{array}{cc} 0.8848 & 0.1152 \\\\ 0.0384 & 0.9616 \end{array} \right]\)
Therefore:
\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right \left[ \begin{array}{cc} 0.8848 & 0.1152 \\ 0.0384 & 0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 500,000*0.8848+700,000*0.0384& 500,000*0.1152 +700,000*0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 469280& 730720 \end{array} \right]\)
Therefore, the population of the city in 2002 is 469,280 while the population of the suburb is 730,720.
The population of the city in 2002 is 442,080 while the population of the suburb is 674,080.
The populations are given as:
\(\mathbf{P_c = 500000}\) --- the population of the city in 2000
\(\mathbf{P_s = 700000}\) --- the population of the suburbs of the city in 2000
For the city, we have:
94% stays, while 6% moves out
For the suburbs, we have:
98% stays, while 2% moves out
Population is calculated using:
\(\mathbf{P =P_o r^t}\)
Where:
Po represents the initial populationr represents ratet represents timeThe population of the city is:
Population = Population that stays in the city in 2 years + Population that enters from the suburbs in 2 years
So, we have:
\(\mathbf{P = 500000 \times (94\%)^2 + 700000 \times (2\%)^2}\)
\(\mathbf{P = 442080}\)
The population of the suburb is:
Population = Population that stays in the suburb in 2 years + Population that enters from the city in 2 years
So, we have:
\(\mathbf{P = 700000 \times (98\%)^2+ 500000 \times (6\%)^2 }\)
\(\mathbf{P = 674080}\)
Hence, the population of the city in 2002 is 442,080 while the population of the suburb is 674,080.
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Steve listed the steps he took when constructing a circumscribed circle of AABC. What is the missing step? 1) Draw the perpendicular bisector of AB. 2) 3) Label the point of interception of the perpendicular bisectors R. 4) Use a compass to draw a circle with center R and radius RA. None of the other answers are correct O Draw medians for each of the two triangles formed by the perpendicular bisector of AB O Draw a median of the triangle and label its base R. O Label one of the midpoints of the triangle R. Repeat step 1 for BC or AC
Answers
Answer:
Repeat step 1 for BC or AC
Step-by-step explanation:
I NEES HELP STATISTICS
Answers
- This year at least one of their clients will have a starting salary of at least $40,000.
There is not enough information to determine whether this statement is true or false. The mean starting salary from last year does not provide information on this year's salaries.
- Last year some of their clients had a starting salary of exactly $40,000.
This statement is true. Since the mean includes all starting salaries, it is possible for some clients to have had a starting salary of exactly $40,000.
- Last year fewer than half of their clients had a starting salary of $40,000 or less.
This statement is false. Since the mean starting salary is $40,000, it is impossible for fewer than half of the clients to have had a starting salary of $40,000 or less.
- Last year some of their clients had a starting salary of more than $36,000.
This statement is true. Since the mean starting salary is $40,000, it is possible for some clients to have had a starting salary of more than $36,000.
- Last year at least one of their clients had a starting salary of at least $40,000.
This statement is true. Since the mean starting salary is $40,000, it is possible for at least one client to have had a starting salary of at least $40,000.
Therefore, the statements that must be true based on the given information are:
- Last year some of their clients had a starting salary of exactly $40,000.
- Last year some of their clients had a starting salary of more than $36,000.
- Last year at least one of their clients had a starting salary of at least $40,000.
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
Answers
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
Use inverse operations to solve.
1. You had $37 in your bank account. After you receive some money for your birthday, you have a total of $62.
How much money did you get for your birthday?
Answers
Answer:
\(\huge\boxed{\bf\:25 \:dollars}\)
Step-by-step explanation:
Money in the bank account before receiving the birthday money = $37
Money in the bank account after receiving the birthday money = $62
Money received as the birthday money = ?
Money received as the birthday money
= Money in the bank account after receiving the birthday money - Money in the bank account before receiving the birthday money
= $62 - $37
= $25
\(\rule{150pt}{2pt}\)
a candlemaker prices one set of scented candles at $10
Answers
y=10x
x= how many candles
How many values are in the range 17 to 118?
Answers
Answer:
100 values
Step-by-step explanation:
118-17-1=100
The number of values between the range 17 to 118 is 100.
What is a range?The difference between the lowest and highest values is known as the range.
The values that are in the range between 17 to 118 can be written as,
\(\text{Number of values}=118-17 = 101\)
Now, since the value 118 is also not included, therefore, the number of values between 118 and 17 are,
\(\text{Number of values}=118-17-1 = 100\)
Hence, the number of values between the range 17 to 118 are 100.
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find the modulus if the complex number 6-8i
Answers
\(|a+bi|=\sqrt{a^2+b^2}\)
\(|6-8i|=\sqrt{6^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}=10\)
You are saving to buy a brand new car in 6 years? You predict the car will cost $32000 but you have already saved $6500.
How much work do you have if you put the $6,500 in an account paying 5% APR compounded continuously?
How much should you invest into an account paying 5% APR compounded continuously to have the entire $32000 in the 6 years?
Answers
The amount you will have $6,500 with 5% in six years using continuous compounding is of:
$8,774.
The amount you will need to have the entire $32000 in the 6 years is of:
$18,890.46.
What is continuous compounding?The balance of an account after t years, using continuous compounding, is given as follows:
\(B(t) = Pe^{kt}\)
In which the parameters are given as follows:
P is the principal, which is the initial investment.k is the APR, as a decimal.Putting the $6,500 into the account, the values of the parameters are given as follows:
P = 6500, k = 0.05, t = 6.
Hence the balance will be of:
B(6) = 6500 x e^(0.05 x 6) = $8,774.
The balance to have the entire $32,000, considering what you already have, will be of:
32000 - 6500 = 25500
Hence the principal is obtained as follows:
Pe^(0.05 x 6) = 25500
P = 25500/e^(0.3)
P = $18,890.46.
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What should be subtracted from minus 3 / 4 so has to get 5 / 6 ?
Answers
Answer:
Step-by-step explanation:
Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and
6,which is 12.
3*3/4*3=9/12
5*2/6*2=10/12
Step 2:Subtract 9/12 from 10/12,which is 1/12.
the volume of the right triangular prism is _____ in3 . use the formula v =bh
Answers
We have to use the volume formula for a triangular prism
\(V=B\cdot h\)Where B is the base angle, which is a triangle
\(B=\frac{b\cdot h}{2}=\frac{12\cdot5}{2}=30in^2\)Then, we find the volume
\(V=30in^2\cdot10in=300in^3\)Hence, the volume is 300 cubic inches.Write an expression for 357 decreased by q.
Answers
Answer:
357 - q
Step-by-step explanation:
Decreased basically means minus.
According to this diagram, what is tan 62 degrees ?
Answers
Answer:
According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.
What is the right angle triangle property?
In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.
Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.
The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.
Re-draw, the Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.
In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.
The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,
Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.
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Solve for x using
cross multiplication.
X + 8
-
3x – 2
8
3
x = [?]
![Solve for x usingcross multiplication.X + 8-3x 283x = [?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/kbPK3JouZY32jSG3b0z5lva1DZPPfEGI.png)
Answers
Answer:
x=70
Step-by-step explanation:
(x+8)*8=(3x-2)*3
8x+64=9x-6
x=70
7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
Answers
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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In the diagram at right, DE is a midsegment of triangle ABC. If the area of triangle ABC is 96 square units, what is the area of triangle ADE? Explain how you know.
Answers
The area of triangle ADE is,
⇒ A = 48 square units
We have to given that,
In the diagram , DE is a midsegment of triangle ABC.
And, The area of triangle ABC is 96 square units
Now, We know that,
Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.
Hence, the area of triangle ADE is half the area of triangle ABC,
That is,
A = 96 / 2
A = 48 square units
Thus, The area of triangle ADE is,
⇒ A = 48 square units
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¿De qué número 64 es el 80%?
Answers
The column headers of a formal proof are _____________ and ____________.
statements and reasons
definitions and examples
givens and conclusions
conjectures and counterexamples
Answers
Answer:
Statements and reasons
Step-by-step explanation:
Answer:
statements and reasons
Step-by-step explanation:
These headers are standard and are used on every formal proof.
will give brainliest to correct answer
Answers
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
What is an arithmetic sequence?Arithmetic succession or arithmetic sequential is a numerical series in which the difference between subsequent terms is uniform.
Let's check all the options, then we have
A. {-6, 1, 8, 15, 22,...}, then the common difference is given as,
d = 1 - (-6) = 8 - 1 =
d = 7 = 7
B. {64, 32, 16, 8, 4,...}, then the common difference is given as,
d = 32 - 64 = 16 - 32
d = -32 ≠ - 16
C. {1, 2, 4, 8, 16,...}, then the common difference is given as,
d = 1 - 2 = 2 - 4
d = - 1 ≠ - 2
D. {1, 3, 6, 10, 15,...}, then the common difference is given as,
d = 1 - 3 = 3 - 6
d = - 2 ≠ - 3
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
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Lily has a storage box shaped like a rectangular prism with a length of 4 feet, a width of 3 feet, and a height of 2 feet. She has a fishing pole that is 6 feet long. Can she store the fishing pole in the box?
Answers
Answer:
Volume L× W × H
Volume 4 × 3 × 2
4 × 3 × 2 =24
If the fish poke is 6 feet long and she has a rectangular prism of 24 since 4 × 3 ×2 equals 24 then yes she can store the fishing pole in the box
24
Please Help! 100 Points!
Answers
Answer:
Step-by-step explanation: