Answer:
[tex]\$3886.8[/tex]
Step-by-step explanation:
Commission received on selling each storm window [tex]=8\%[/tex] of the selling price of each storm window
Commission received on selling each door [tex]=12\%[/tex] of the selling price of each door
Amount earned on selling storm windows = $5,400
Amount earned on selling doors = $28,790
Commission received on selling storm windows [tex]=\frac{8}{100}(5,400)=\$432[/tex]
Commission received on selling doors [tex]=\frac{12}{100}(28,790)=\$3454.8[/tex]
Therefore,
Total commission received [tex]=432+3454.8=\$3886.8[/tex]
Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^).
125x^3+343y^3
Answer:
(5x + 7y)(25x² - 35xy + 49y²)
Step-by-step explanation:
125x³ + 343y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b³) , thus
125x³ + 243y³
= (5x)³ + (7y)³
= (5x + 7y)((5x)² - 5x(7y) + (7y)² )
= (5x + 7y)(25x² - 35xy + 49y²)
Unit Test / 16 of 25
1 Pause
Josh practices free throws during basketball practice on Monday and Tuesday, On Monday, he attempts 15 free throws and 6 basketballs
went in the basket. Over both days, Josh wants at least 80% of his balls to go in the basket. If he makes every free throw on Tuesday,
what is the minimum number of free throws required on Tuesday to reach his goal?
Answer:
30
Step-by-step explanation:
For the minimum free throws, he must put every throw to the basket.
So, let n be the number of throws for Tuesday, in which all the throws are successful.
So, over both the days, total free throws he makes= 15+n.
Total numbers of throws that went in the basket= 6+n.
As he wants at least 80% of his balls to go in the basket.
So, 6+n is greater than or equal to 809% of 15+n, i.e
[tex]6+n\geq \frac{80}{100}\times (15+n)[/tex]
[tex]\Rightarrow 30+5n\geq 60+4n[/tex]
[tex]\Rightarrow n\geq 30.[/tex]
Hence, the minimum number of free throws required on Tuesday to reach his goal is 30.
Simplify the expression. [(–5)–7 (–5)8]3
At a fast food restaurant, customers are asked if they want to “round up” their bill to the next highest dollar and donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally likely to “round up” regardless of the amount of their bill. The density curve below models Y, the donation amount. (a) What is the shape of the distribution of donations? (b) What proportion of donations are at least 85 cents? (c) What percent of donations are between 30 and 40 cents?
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:
[tex]P(X\geq 85)=\int\limits^{99}_{85} {\frac{1}{99-0} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\[/tex]
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:
[tex]P(30\leq X\leq 40)=\int\limits^{40}_{30} {\frac{1}{99-0}} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010[/tex]
Thus, the probability of donations between 30 and 40 cents is 0.1010.
Free Response - calculator may be used. Please help 50 points and brainliest
Answer:
the answer would most likely be A
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
Starting with the first, on each of Gideon's birthdays, Dr. Prince deposits $1200 into an account earning 4.9% interest compounded annually.
What is the total amount in the account after the deposit made on Gideon's eighteenth birthday?
How much should Dr. Prince have deposited each year if he had wanted the account to be worth $76000 on Gideon's eighteenth birthday?
Answer:
74t+(-24x)
Step-by-step explanation:
given the equation y=23x,whats the value of x if y=100
Answer: 4.3478 or 100/23
Step-by-step explanation:
Set the y values equal to each other since they are the same unknown (x). You end up with 100=23x, solve for x. Move the 23 over to the other side by using division. x=100/23. If you need it in decimal form, 100÷23=4.347826087
Answer:
4.3=x
Step-by-step explanation: y=23x
substitute the variable y to 100. Now the equation looks like this 100=23x. Your next step is to get get x by itself, so you would divide 23 on both sides. That would cancel out the 23 x. The only thing you have to do now is 100 divided by 23 and that would be 4.3 and a whole bunch of number so you just round it to the nearest tenth. You answer would be 4.3.
6^5 x 6^4=6 to the power of what
Answer:
6⁹
Step-by-step explanation:
HI there !
6⁵ ₓ 6⁴ = 6⁵⁺⁴ = 6⁹
Good luck !
1 1/2d-9=12 can you help explain how to do this
Answer:
d =14
Step-by-step explanation:
[tex]1\frac{1}{2} d -9 =12[/tex]
[tex]\frac{3}{2} d = 12+ 9[/tex]
[tex]\frac{3}{2} d =21[/tex]
[tex]d = 21 : \frac{3}{2}[/tex]
[tex]d = 14[/tex]
Here are six number cards.
-4-2-1,5,6,8
Arrange the cards into three pairs with the same total
Answer:
-1+5=4(so-1and5)
-2+6=4(so-2and6)
-4+8=4(so-4and8)
Please respond quickly
Answer:
5m-4
Step-by-step explanation:
The product of 5 and a number is written as 5(m) <--- any variable you chose.
The solution is 4 less than 5m.
So: 5m-4
Hope this helps ^^
At your job, you move 350 hundredweight barrels in one day. How many tons did you move?
Answer:
.175 tons
Step-by-step explanation:
350 pounds converts to .175 tons.
When attempting to do his homework, Mark incorrectly uses the addition property of equality below. Which
statement would correct Mark's error?
1) 8 + x = 2
2) 8-8 + x = 2
3) x = 2
A. To balance the equation, Mark should also subtract 2 from the right side of the equation in step
2.
B. To balance the equation, Mark should also subtract 2 from both sides of the equation in step 2.
C. To balance the equation, Mark should also subtract 8 from the right side of the equation in step
2.
D. To balance the equation, Mark should also add 8 to both sides of the equation in step 2.
Answer: Its actually C
Step-by-step explanation: Correct on edge 2022
whats a third of 83 1/2
Answer:
27.83
The 3 is repeating
Step-by-step explanation:
1/2 divided by 6/8= what do you think the answer is
need help on this asap pleasee:((
Answer:
hatdogkajsidnevwjqo
Can you help me, friends, please?
Answer:
slope: -3
y-intercept: 3
y = -3x +3
Step-by-step explanation:
Hint: Use the Desmos Graphing Caculator for liner equaions!
0.33333... rational or irrational
Answer:
irrational
Step-by-step explanation:
Answer:
I think rational because like it can be a fraction. but like I wouldn't trust me.
Students on an academic team took a test to enter a math competition. They could take the test twice. Some students improved their score, while others did not. The table shows the change in score for each student. Which student had the greatest overall change in his or her score?
Student Test Score Change
Joe –2
Nivea 3
Juanita 4
Li –3
Juanita had the largest change. (+4 points)
Oranges cost 21 cent each. alex buy x and Bobby buys (x+2) oranges. The total cost of these oranges is $4.20
Create a scenario for y=3x+4 will mark brainliest
Answer:
y=10
Step-by-step explanation:
x=2
3x2= 6
6+4 = 10
Find the least number which when divided by 8,9 and 12 leave remainder 4 in each case
Answer:
76
Step-by-step explanation:
you need to find the smallest number you can divide by 8,9,12 (72) + 4
72 + 4 = 76
In Mrs. Clarito's farm, the ratio of goat to cow is 5:6. If there are 25 goats, how
many cows does she have?
A) 10
B) 20
C) 30
D) 40
4) Divide
(2x2 – 5x + 7) = (x - 3)
Please help me as much as you can.
Answer:
2x- 5/3x -7/3
Step-by-step explanation:
yeah
CAN SOME1 PLEASE HELP ME!!
Answer:
non linear funtion -4, 2
Step-by-step explanation:
I'm stuck brainliest to the first CORRECT ANSWER
Answer:
7.74 feet (approximate is 8 feet)
Step-by-step explanation:
Radius of the circle is r = 6/2 = 3
Area of the circle is A = π x 3^2 = 9π = 28.26
Area of the square = 6^2 = 36
Remaining board area = 36 - 28.26 = 7.74
Hope this helps! <3
2. Write AND simplify an expression showing how many times farther
Neptune is from the Sun than Mercury. Write the result in scientific
notation.
(to write an exponent go to the second row and second item to access
math symbols-Sub and sup)
Answer: 0.8 x 10 to the power of 2 neptune is 8x further away than murcury
Step-by-step explanation: i had this problem i thought i would give you an answer that acully answers the question
place these numbers in order from least to greatest: ( picture)
Answer:
[tex]\sqrt3[/tex], [tex]\sqrt6[/tex], π, 4.625
Step-by-step explanation:
Just turn the values into decimals and then put in order form least to greatest
Which number line shows the solution to −3 − (−1)? (1 point)
Answer:
It is the third line (the one with a big arrow pointing to the left and the small pointing to the right)
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
Bananas cost $1.50 per pound, and guavas cost $3.00 per pound. Kiran spends $12 on fruit for a breakfast his family is hosting. Let b be the number of pounds of bananas Kiran buys and g be the number of pounds of guavas he buys.
Answer:
4 pounds of bannanas and 2 pounds of guava
Step-by-step explanation:
2 pounds of bananas equals 1 guava