Answer:
1:5
Step-by-step explanation:
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
!!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:
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.
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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Select the correct answer from each drop-down menu. James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. The median number of hours James worked is . The skew of the distribution is .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}
The median of the distribution can be found using the formula :
Median = 0.5(n + 1) th term
n = number of terms = 12
Median = 0.5(12 + 1) th term
Median = 0.5(13)th term = 6.5th term
Select the 6th and 7th term = 11, 11
(11 + 11) /2 = 22/2 = 11
Hence, the median = 11
The distribution is negatively skewed, This was inferred from the shape of a distribution having a long shape positioned on the left side of the distribution.
The peak values are the 8th, 9rh and 10th values with only two values below in the right direction with the majority on the left.
Answer:
The median number of hours James worked is 10 . The skew of the distribution is negative .
Step-by-step explanation:
Give the missing reasons for this proof (with picture)
2. alternate angles I think
3. vertically opposite angles
4. Interior angles
40 POINTS FOR AWNSER
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
Answer:
5(8x + 6y), 10(4x + 3y), 2(20x + 15y)
Step-by-step explanation:
(5x *8) + (5x *6) = 40x + 30x no
(5 * 8x) + (5 *6y) = 40x + 30y yes
10*40x + 10*30y = 400x + 300y no
10*4x + 10*3y = 40x + 30y yes
2y *20x + 2y*15 = 40xy + 30y no
2*20x + 2*15y = 40x + 30y yes
The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.
Given :
Expression -- (40x + 30y)
The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):
Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).
Step 2 - Take the 10 common in the given expression.
= 40x + 30y
= 10(4x + 3y)
Step 3 - Also can take 2 common in the given expression.
= 40x + 30y
= 2(20x + 15y)
Therefore, the correct option is D) and F).
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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
solve for x
-30=5(x+1)
Answer:
-7
Step-by-step explanation:
what times is equal to 75
Answer: 5 x 15= 75
Step-by-step explanation:
Answer:
75*1=75
Step-by-step explanation:
What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5
The points are (-5,7) and (10,1). The slope of the points is -2/5.
How to calculate a slope ?Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.
Given that,
The points are (-5,7) and (10,1).
We have to find the slope of the points.
The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,
Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here,
x₁=-5,
y₁=7
x₂=10
y₂=1
Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]
Slope of the points =(-6)/(15)
Slope of the points = -2/5
Therefore, the slope of the points is -2/5.
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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!!!
A corporate team-building event costs $1, plus an additional $1 per attendee. How many
attendees can there be, at most, if the budget for the corporate team-building event is $45?
Answer:
9 attendees
Step-by-step explanation:
1+4=5
46/5=9 R1 the slash is dividing it hope it help's
Answer:
9 attendees
Hope I helped
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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i need a fast answer for this
graph y=4x+9
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!
please help me with this
Answer:
d. 42 is the 100% correct answer....Hopes it helps you.....Hopes to get BRAINLIEST.......Thank you ☺️
rearrange the formula d= m/v for m
Answer:
m=d*v
Step-by-step explanation:
The area of a square with sides of length s is given by A = s^2. Find the rate of change of the area with respect to s when s = 5 meters.
Answer:
10
Step-by-step explanation:
A = s^2
Differentiate each side with respect to s
dA /ds = 2 s
Let s = 5 meters
dA /ds = 2 *5
dA /ds = 10
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
A dolphin swam7 1/2 miles in 3/8 hour. what is its average speed in miles per hour?
Answer:
20 mph
Step-by-step explanation:
To find miles per hour you divide the number of miles by the number of hours
(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph
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)
James bought a car and paid for it in equal payments of $854. After making 41 payments, he still had to pay $16,331.
whats 0 divide by 0 heilpoudjcbjdfvhckdbcu k hybhlxbc jhvwdgv
Answer:
Its undefined lol
Step-by-step explanation:
Answer: Any number divided by 0 is undefined.
Step-by-step explanation: Think about it. How would you split something into 0 groups? That makes no sense; therefore you have an undefined value. This is true of all numbers.
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
What is the slope of the graph of y = 12x – 19?
Answer:
12
Step-by-step explanation:
What is the slope of (-3,4) and (0.3)
Answer:
m=-1/3
Step-by-step explanation:
To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁
So you would have 3-4 divided by 0-(-3)
And then you would get -1/3
Answer:
-0.33333
//////Step-by-step explanation:///////
6771 divided by 44
Quotient:
Remainder:
Answer:
quotient: 152 remainder: 23
Step-by-step explanation: hope that helps :)
can i get brainliest pls?
4x + y =1
x + 2y = 9
Answer:
x=-1 y=5
Step-by-step explanation:
A. 4x+y=1 multiply the equation negative 2
B. x+2y=9
-8x-2y=-2 add this to equation b
x+2y=9
-7x=7 divide both sides by -7
x=-1
now substitute x for -1 in either of the original equations
-4+y=1 add 4 to both sides
y=5
-4+5=1
-1+10=9