Answer: $33,029.00
Step-by-step explanation: 29700 + 1029 + 2300
sales = $29,700
commission = $1,029
salary = $2,300
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A skateboarder rides by my office every 9 minutes, and a cyclist rides by every 6 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
Answer:
6:00
Step-by-step explanation:
The time taken by the skateboarder and cyclist to ride by at the same time is given by A = 18 minutes
What is HCF and LCM?The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the skateboarder rides by the office every 9 minutes
And , a cyclist rides by every 6 minutes
Now , time taken by the skateboarder and cyclist to ride by at the same time be A
where A = LCM of the two numbers
So , the smallest time interval at which both events occur. In other words, we need to find the least common multiple (LCM) of 9 and 6.
Factors of 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Factors of 6 : 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
So , common multiple and the LCM is 18
Hence , the time taken is 18 minutes
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Write an equation for the line that passes through (2,5) and (6,7)
Answer:
[tex]y=\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Find the slope of the line first using the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute the two given points into this formula.
[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.
Point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).
[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]Simplify the equation so it's easier to read.
[tex]y-5=\frac{1}{2} (x-2)[/tex]Distribute 1/2 inside the parentheses.
[tex]y-5=\frac{1}{2}x-1[/tex]Add 5 both sides of the equation.
[tex]y=\frac{1}{2}x+4[/tex]Answer:
The slope is the change in y over the change in x.
(7-5) / (6-2) = 2 / 4 = 1 / 2
In y = mx + b, we know y, m, and x. Now solve for b:
Let's use the point (2, 5).
5 = (1/2)(2) + b
5= 1 + b
b = 4
Now put it together:
y = (1/2)x + 4
Step-by-step explanation:
Can someone please help me?
Answer:
4
Step-by-step explanation:
It is 4 because there are 4 pea pods with 3 peas in each pod.
Answer:
2
Step-by-step explanation:
Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees? A) 5 months B) 6 months C) 7 months D) 8 months E) 9 months
Answer:
5 months
Step-by-step explanation:
Cindy deposited $350 into a savings account
The acct balance remains above $200
We are required to find the number of months that it will take to $30 a month
Let y represent the number of months
y × 30 < 350-200
30y < 150
Divide both sides by the coefficient of y which is 30
30y/30 < 150/30
y < 5
Hence the number of months required is 5 months
Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?
Answer:
E. 120
Step-by-step explanation:
A. 40
B. 72
C. 80
D. 100
E. 120
Let
x = the intended distance
y = length of the pool
She covers one fifth of her intended distance
Distance covered = 1/5 of x
= x/5
After swimming six more lengths of the pool she had covered one quarter of her intended distance
x/5 + 6y = 1/4 of x
x/5 + 6y = x/4
Collect like terms
6y = x/4 - x/5
6y = 5x - 4x/20
6y = x/20
x = 20 * 6y
= 120y
x = 120y
The intended distance Rebecca wants to cover = 120
solve for x
-30=5(x+1)
Answer:
-7
Step-by-step explanation:
Please help! Geometry.
Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?
Step-by-step explanation:
Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:
[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]
Por lo tanto, la primera caja contiene 56 cajas más pequeñas.
Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:
[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]
Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.
Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:
[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]
Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.
La cantidad que quede en la casilla original se expresará como
= 448- (56 + 168 + 224)
= 448-448
= 0
Por lo tanto, no quedó ninguno en la caja original.
What is the solution set of the inequality for 6x – 12 > 30?
Answer:
x > 7
Step-by-step explanation:
6x - 12 > 30
add 12 to 30
6x > 42
divide 6 to 42
x > 7
Not sure if this is what you needed but hope this helped!!!
6771 divided by 44
Quotient:
Remainder:
Answer:
quotient: 152 remainder: 23
Step-by-step explanation: hope that helps :)
can i get brainliest pls?
Ricky needs 8 meters of blue ribbon for a project. He already has 3 pieces of blue ribbon, one that measures 250 centimeters, one that measures 1,250 millimeters, and one that measures 3.75 meters. How many more meters of blue ribbon does Ricky need for his project?
Answer:
0.5 m
Step-by-step explanation:
Just use the answer
3 Comcast charges $50 per month for basic cable and $5.00 for each premium movie channel. Xfinity charges $41 per month for the same cable package and $6.50 for each premium movie channel. B. Write an inequality to represent how many movie channels a customer needs to purchase from Xfinity Cable to pay at least as much as a Comcast subscriber.
Answer:
18Step-by-step explanation:
let us model the cost
let the cost be y and the number of movie channel be x
for 3 comcast
y=50+5x-----1
and for Xfinity
y=41+6.5x-------2
to solve for the number of movie channel so that the two (3 comcast and Xfinity) will pay the same, we need to equate 1 and 2
50+5x=41+6.5x
50-41=6.5x-5x
9=0.5x
x=9/0.5
x=18
Rectangle ABCD has a length represented by the expression 2x-3, and a width represented by the expression 4x+5. Rectangle PQRS has a length represented by the expression x-1, and a width represented by the expression 3x+2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS
This question is Incomplete
Complete Question
Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?
a) 2x + 1
b) 4x + 2
c) 4x + 6
d) 20x + 6
Answer:
b) 4x + 2
Step-by-step explanation:
The Formula for the Perimeter of a Rectangle = 2(L + W)
= 2L + 2W
Hence:
For rectangle ABCD
Length = 2x - 3
Width = 4x + 5
Hence, the Perimeter is :
P = 2L + 2W
P = 2(2x - 3) + 2(4x + 5)
P = 4x - 6 + 8x + 10
P = 4x + 8x -6 + 10
P = 12x + 4
For Rectangle PQRS
Length = x - 1
Width = 3x + 2
Hence, the Perimeter is :
P = 2L + 2W
P = 2(x - 1) + 2(3x + 2)
P = 2x - 2 + 6x + 4
P = 2x + 6x - 2 + 4
P = 8x + 2
The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is
Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS
(12x + 4) - (8x + 2)
12x + 4 - 8x - 2
12x - 8x +4 -2
4x + 2
Option b) 4x + 2 is the correct option.
What are the x and y-intercepts of the line described by the equation?
2x + 4y = 12.4
Enter your answers, in decimal form, in the boxes.
x-intercept =
y-intercept =
Answer:
x-int (6.2, 0)
y-int (0, 3.1)
Step-by-step explanation:
x-intercept is found when y = 0.
y-intercept is found when x = 0.
Step 1: Define equation
2x + 4y = 12.4
Step 2: Find x-intercept
Substitute y for 0.
2x + 4(0) = 12.4
2x = 12.4
x = 6.2
(6.2, 0)
Step 3: Find y-intercept
Substitute x for 0.
2(0) + 4y = 12.4
4y = 12.4
y = 3.1
(0, 3.1)
A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the account will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation.
Answer:
A. $29,045.68
B. $28,981.85
C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.
Step-by-step explanation:
3% compounded daily:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)
= 25000(1.00008219)¹⁸²⁵
= 25000(1.161827)
= 29045.6770
3% compounded annually:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)
= 25000(1.03)⁵
= 25000(1.159274)
= 28981.8518
!!PLEASE HELP QUICK!!Chauncy is paid $10 per hour. He works 2 hours a day for 5 days each week. How much money is Chauncy paid for his work each week? Which sentence can be used to answer the word problem?
A Chauncy is paid $___
B Chauncy works ___
C Chauncy works ___
D Chauncy is paid $___
Answer:
he make $100 a week
D Chauncy is paid $100 for his work each week
Answer:
Chauncy is paid $100 for his work each week
Step-by-step explanation:
What is the range of the following numbers?
12, 20,18,25, 6
O A 5
OB. 164
O C. 18
O D. 19
O E. 25
Give the missing reasons for this proof (with picture)
2. alternate angles I think
3. vertically opposite angles
4. Interior angles
If y varies directly as x, and y = -85 when x = 5, what is the value of y when x = 19
Answer:
-323
Step-by-step explanation:
y varies x
make k the unknown
y=kx
-85= 5k
:• k = -17
when x= 19
we can say...
y= -17(19)
y = -323 ✓
HELP PLEASE PLEASEEEEEEE
Answer:
about 1854.55 miles (rounded to the hundredth)
Step-by-step explanation:
1.
[tex] \frac{44}{100} = \frac{816}{x} [/tex]
The first fraction represent the percentage of the distance.
The second one represent the number of 816 miles out of x
2. 100 × 816 = 44 × x
3. You'll get 81,600 = 44x
4. and then you divided both side by 44 to solve for x
Which of these equations represents a line that has an undefined slope and is
perpendicular to the line represented by y = 5?
A x = 5
B y = 0
C y = −5
D No such line exists.
Step-by-step explanation:
D. no such line exits
you have to know the gradient of the line given and there is no gradient given
Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)
Answer:
Step-by-step explanation:
a. If you want a return of 17 percent, how much will you pay for the stock?
The price of the stock can be calculated as:
= dividend next year/(required return - growth rate)
= 4.4/(17% - 5%)
= 4.4/12%
= 4.4/0.12
= 36.67
b. If you want a return of 10 percent, how much will you pay for the stock?
At 10%
= 4.4/(10% - 5%)
= 4.4/5%
= 4.4/0.05
= 88
i need a fast answer for this
graph y=4x+9
The cost of parking a car in an hourly lot can be represented by the following equation y = 3x + 2 What does the 3 tell you about the cost of parking?
A) The hourly rate is $3
B) You can only park for 3 hours
C) There is a $3 fee to park
D) it costs 5 dollars to park all day
Answer:
A
Step-by-step explanation:
The three represents the amount it costs for each hour parked, and is continuous, which is a rate.
Drag the words into the boxes to correctly complete the sentence.
In the problem 3.8÷0.7, the number 3.8 is the________ and the number 0.7 is the_____
The words at he bottom is
sum, difference, equivalant, divisior, dividend, remainder
Answer: In the problem 3.8÷0.7, the number 3.8 is the equivalent the number 0.7 is the divisor. Equivalent, divisor. Have a great day!
A plane takes off and climbs steadily for 15 minutes until it
reaches 30,000 feet. It travels at that altitude for 2 hours until
it begins to descend to land, which it takes 15 minutes at a
constant rate.
Step-by-step explanation:
Mark each mark by 15 mins add an extra tick at the time section
the corner before the first 15 min mark make a tilted line to 15 mins and 30,000 feet draw a straight line till 2 hours and 15 mins draw titled down to 2 hours and 30 mins
rearrange the formula d= m/v for m
Answer:
m=d*v
Step-by-step explanation:
Complete the recursive formula of the arithmetic sequence –3,-1,1,3,....
Answer:
b(1)=-3
b(n)=b(n−1)+2
Step-by-step explanation:
Given the sequence −3,−1,1,3,...
We can infer that the first number of the sequence is -3, and the difference is +2
b(1)=first number of the sequence
b(n)=b(n−1) diffrence
If we fill this in, we get:
b(1)=-3
b(n)=b(n−1)+2
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You
mix the Tanzanian blend with the Queen City blend, but always in the same proportion. Yesterday, you
mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend. Today, there is 20 pounds
of the Tanzanian coffee left in stock. How many pounds of the Queen City coffee should you mix with it to
get your secret blend?
Quantity of Tanzanian blend used in my secret coffee blend = 40 pounds
Quantity of Queen city blend used in my secret coffee blend = 8 pounds
The ratio of Tanzanian blend to Queen city blend in my coffee blend = 40 : 8
Quantity of Tanzanian blend with me = 20 pounds
Quantity of Queen city bend needed to make my secret coffee blend =
Let the quantity of Queen city blend I will need be x .
[tex] \frac{40}{8} = \frac{20}{x} [/tex]
[tex]8 \times 20 = 40 \times x[/tex]
[tex]160 = 40x[/tex]
[tex]x = \frac{160}{40} [/tex]
[tex]x = 4[/tex]
Therefore , I need to mix 4 pounds of queen city blend with my 20 pounds of Tanzanian blend to get my secret coffee blend .
4 pounds of the Queen City coffee should you mix with it to get your secret blend.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that,
Yesterday If we mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend.
In the same proportion, today there is 20 pounds of the Tanzanian coffee left in stock.
We need to calculate how many pounds of the Queen City coffee should you mix with it to get your secret blend.
Let x be the pounds of the Queen City coffee should you mix with it
Let us form a equation
40/8=20/x
Apply cross multiplication
40x=160
Divide both sides by 40
x=4
Hence 4 pounds of the Queen City coffee should you mix with it to
get your secret blend.
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If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experiment. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?
Given:
Two dice are rolled together.
Total number of possible outcomes.
To find:
The list of total possible outcomes.
The probability of getting a sum of 11 in these outcomes.
The probability of getting a sum less than or equal to 4.
The probability of getting a sum of 13 or more.
Solution:
If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is
S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3
The probability of getting a sum of 11 in these outcomes is
[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]
[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]
Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].
Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6
The probability of getting a sum less than or equal to 4 is
[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]
[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]
Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].
Sum of 13 or more = empty set because maximum sum is 12.
The probability of getting a sum of 13 or more is
[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]
[tex]P({sum\geq 13})=0[/tex]
Therefore, the probability of getting a sum of 13 or more is 0.