Answer:
Elsa earned the most
Ben earned the least
Step-by-step explanation:
E = Elsa's speed
B = Ben's speed
C = Cal's speed
The combined speeds are:
E + B = 1/11
E + C = 1/9
B + C = 1/9.9
If we add up all three equations:
2B + 2C + 2E = 10/33
B + C + E = 5/33
If we subtract each of the first three equations from the total equation, we can find the individual speeds.
C = 5/33 − 1/11 = 2/33
B = 5/33 − 1/9 = 4/99
E = 5/33 − 1/9.9 = 5/99
Ben and Cal paint together for 1 hour. The fraction of the wall they paint is:
(1/9.9) × 1 = 10/99
Elsa, Ben, and Cal all paint together for the next 4.5 hours. The fraction of the wall they paint is:
(5/33) × 4.5 = 15/22
Ben and Elsa then finish the job. The amount of wall left is 1 − 10/99 − 15/22 = 43/198. So the time it takes is:
(43/198) / (1/11) = 43/18 hours
The fraction of the wall that Ben paints is:
(4/99) (1 + 4.5 + 43/18) = 284/891
The fraction of the wall that Cal paints is:
(2/33) (1 + 4.5) = 1/3 = 297/891
The fraction of the wall that Elsa paints is:
(5/99) (4.5 + 43/18) = 310/891
Answer:
Ben earned the most as 6 of 16.5 as a percentage = (6*100):16.5 =36.36%
We check with Elsa and she earned the least as (5*100):16.5 =30.31%
Cal earned the average as 5.5 of 16.5 as a percentage = (5.5*100):16.5 =33.33%
Step-by-step explanation:
E + B = 11hrs
E + C = 9hrs
B+C = 9.9 hrs
Lets say the house was 100ft sq
if E took 5.5 hrs
B took 5.5hrs we would have 11
C took 3.5 hrs we would have 9hrs for E+C
B took 5.5 hrs + 3.5hrs we are 0.9hrs short and see that B would need to take 0.9 more which means E works 0.9hrs less and shares 0.4 less with C having 0.5 less which gives B an extra 0.4 instead of 0.9
This equates to B: 5.9 , C: 3.9 , E: 5.1
We can change to B: 6 , C: 3.94 , E: 5.4
= E+B = 11.4 = 11
= E+C = 8.99 = 9
= B+C = 9.94 = 9.9
Percentages of fixed net pay when B: 6 , C: 3.94 , E: 5.4 = 6+ 3.94+ 5.4 = 100
Time when 15.34 hrs = 100% if working same rate changes to 16.5hrs to account for the hours given 8am-1.30pm 8am-1.30+ 9am-1.30+ = minimum 1hr more = 2pm
Cal worked 8 am till 1.30 pm = 5.5hrs = 1.66hr extra
Ben worked 8am till 2pm = 6 hrs = 0 hr extra together worked 11.5hrs
Elsa worked 9am till 2pm = 5 hrs = -0.4hr less
11.5+ 5 = 16.5 This equals 16.5hrs = 100%
Ben earned the most as 6 of 16.5 as a percentage = (6*100):16.5 =36.36%
Cal earned the average as 5.5 of 16.5 as a percentage = (5.5*100):16.5 =33.33%
We check with Elsa and she earned the least as (5*100):16.5 =30.31% is the same as 100-69.67%
pls helpASAP!!!
3x+ 12 = 2(8+ 4x)
[tex]3x+12=2(8+4x)[/tex] distribute
[tex]3x+12=16+8x\\[/tex] collect like-terms
[tex]3x-8x=16-12\\-5x=4\\x=-\frac{4}{5}=-0.8[/tex]
x = - 4/5
Step-by-step explanation:3x + 12 = 2(8 + 4x)
3x + 12 = 16 + 8x
12 - 16 = 8x - 3x
- 4 = 5x
x = - 4/5
PLSSSSS HELP MARKING BRAINLIST QUESTION BELOW
Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15. Which equation can you use to find the measure of each angle? 2x + 3x - 15 = 90° 2x - 3x - 15 = 180° 2x - 3x - 15 = 90° 2x + 3x - 15 = 180°
Answer:
2x+3x-15=180°
Step-by-step explanation:
When two angles are supplementary, their angles would equal to 180° total when added together. In this answer, the two angles are added together to create 180°.
Answer:
The answer is D
Step-by-step explanation:
Supplementary angles add up to be 180 degrees, so you put the two angles together equal to that
a map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 4.5 square inches. What is the actual area of the lake?
Answer:
the area represents 40.5 square miles
Step-by-step explanation:
Since 1 inch represents 3 miles, then 1 inch x 1 inch = 1 square inch represents 3 mi x 3 mi = 9 square miles
Therefore, 4.5 square inches would represent 4.5 x 9 square miles = 40.5 square miles
The box plot shows the number of years during which 16 schools have participated in a marching band competition: A box plot is titled Years of Participation and labeled Years. Number line from 0 to 10 with primary markings and labels at 0, 5, and 10. The box extends from 3 to 7 on the number line. There is a vertical line at 5. The whiskers end at 1 and 10. At least how many schools have participated for 3 to 7 years? (4 points) 3 schools 5 schools 7 schools 8 schools
*see attachment showing the box plot
Answer:
8 schools
Step-by-step explanation:
In a typical box plot, data set are usually represented and denoted by quartiles in almost equal proportion. That is, 25% of the data set falls between the min and the Q1 value. From Q1 to median value, we have about 25%. From median to Q3, we have 25%, and from Q3 to the max, we have about 25%.
In the box plot given, we have:
Schools that have participated for at least 3 - 7 years fall within Q1 (3) and Q3 (7). Therefore, we have about 50% of the total number of schools that have spent 3 to 7 years.
No of schools that have spent at least 3 - 7 years = [tex] \frac{50}{100}*16 = 8 schools [/tex]
Answer:
8 schools
Step-by-step explanation:
I took the test and got it right.
The game starts with a pile of 20 tickets. You and the person you are playing against can choose who goes first and second. On each player's turn, they must take 1, 2, or 3, tickets from the pile. The person that takes the last ticket (s) wins. The game starts with a pile of 20 tickets. You and the person you are playing against can choose who goes first and second. On each player's turn, they must take 1, 2, or 3, tickets from the pile. The person that takes the last ticket (s) wins. What is the strategy the 1st player can use to win all the time?
The 1st player would have to say 15 and 16. NOT 17.
No matter how it is.
Ex:
14,15,16
15,16
Can someone help me with this.
In a school, 30% of the students have hazel eyes. Find the experimental probability that in a group of 4 students, at least one of them has hazel eyes. The problem has been simulated by generating random numbers. The digits 0-9 were used. Let the numbers "6". "7", and "8" represent the 30% of students with hazel eyes. A sample of 20 random numbers is shown.
Answer:
90%
Step-by-step explanation:
Experimental probability that in a group of 4 students, at least one of them has hazel eyes is 85%.
What is experimental probability?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
According to the question
In a school, 30% of the students have hazel eyes.
The number of hazel eyes in data is 17
The total number of data sets are 20.
Experimental probability = [tex]\frac{17}{20}[/tex] × 100%
= 85%
Hence, experimental probability that in a group of 4 students, at least one of them has hazel eyes is 85%.
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jan's gas tank is nearly empty, at 1/12 full. she doesn't have enough cash to fill the tank, she adds enough gas to reach 2/3 full.
How much gas did she add, as a fraction of the tank?
Answer:
7/12
Step-by-step explanation:
well first you have subtract 2/3 from 1/12 how you do that is that you have to change the denominator into twelve by multiplying 3 times 4 and 2 times for which you get 8/12 them subtract 8/12 from 1/12 which is 7/12
If Jan's tank is 1/12 full and after addition it becomes 2/3 full then she added 7/12 gas as a fraction of tank.
What is fraction?Fraction is a combination of two numbers one in numerator and the other one in denominator. The number which is above the division sign is known as numerator and the number which is below the division sign is known as denominator. It is expressed as v/u where v is numerator and u is denominator.
How to calculate fraction?Initial quantity of gas is 1/12 of the tank.
Quantity of gas after filling is 2/3 of the tank.
So the initial fraction is 1/12 and final fraction is 2/3.
let the fraction of gas added be x.
So,
1/12+x=2/3
x=2/3-1/12
x=(8-1)/12
x=7/12
Hence the gas which is added by Jan is 7/12 fraction of the tank.
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Norma has a credit card that uses the adjusted balance method. For the first
10 days of one of her 30-day billing cycles, her balance was $1850. She then
made a purchase for $160, so her balance jumped to $2010, and it remained
that amount for the next 10 days. Norma then made a payment of $930, so
her balance for the last 10 days of the billing cycle was $1080. If her credit
card's APR is 29%, which of these expressions could be used to calculate the
amount Norma was charged in interest for the billing cycle?
Answer:
50
Step-by-step explanation:
-4(3-1)+2 need hep please
Answer: [tex]-6[/tex]
Subtract
[tex]-4(3-1+2)=-4(2)+2[/tex]
Multiply
[tex](-4)(2)+2=-8+2[/tex]
Add
[tex]-8+2=-6[/tex]
Answer:
-6
Step-by-step explanation:
Follow the PEMDAS order of operations
Calculate within parentheses: 3 - 1 = 2
Multiply and divide (left to right): - 4 * 2 = -8
Add and subtract (left to right): -8 + 2 = -6
A 2 column table with 5 rows. The first column, yards of red fabric, x, has the entries 1, 2, 3, 4. The second column, yards of blue fabric, y, has the entries 27, 26, 25, 24. Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy? Check all that apply. x+y=28 28+x=y x-y=28 28-x=y 28-y=x
The correct answer would be options (A), (D), and (E)
x + y = 28
28 - y = x
28 - x = y
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The first column, yards of red fabric, x, has the entries 1, 2, 3, 4.
The second column, yards of blue fabric, y, has entries 27, 26, 25, and 24.
Sophie is buying fabric to make items for a craft fair.
when substitute x = 1 and y = 27
⇒ x + y = 1 + 27 = 28
So the equations model the total yards of fabric Sophie will buy as
⇒ x + y = 28
⇒ 28 - y = x
⇒ 28 - x = y
Hence, the correct answer would be options (A), (D), and (E)
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PLLSSSSS HELP MARKING BRAINLIST QUESTION BELOW
Answer:
C. The function shown on the graph has a greater rate of change, but a lower starting point.
Step-by-step explanation
5x-6=y (equation on the graph)
4x+2=y
5 is a greater rate of change (slope) compare to 4, however the y-intercept on the graph is lower (starting point) compare to the equation (2)
Why does each 3 have a different value in 3.453?
Answer: 3 has a different value because its in a different place value. It says 3 but it's value isn't 3. It's 0.003.
Answer:
Because they're in different places the 3 in the ones place couldn't equal as much as the three in the thousands place those places make them have different values
Hope this helps \_(OwO)_/ can i get marked brainliest o.O
the word form for 9.806
Answer:
Nine and eight hundred six thousandths
Step-by-step explanation:
You probably already know nine. The digits to the right of the decimal point are 8, 0, and 6. Their places are tenths, hundredths, and thousandths. When referring to a group of numbers in a sentence like in this situation, refer to them as the place value of the smallest number, in this case thousandths, making the answer nine and eight hundred six thousandths.
rewrite the phrase 2 less than a number as a variable expression
Answer:
2-x
Step-by-step explanation:
-3(k-8)-(k+5)=23 please explain how to do this
Answer:
k = -1
Step-by-step explanation:
-3(k-8)-(k+5)=23
Distribute
-3k +24 -k-5 = 23
Combine like terms
-4k +19 = 23
Subtract 19 from each side
-4k +19-19 = 23-19
-4k = 4
Divide by -4
-4k/-4 = 4/-4
k = -1
Answer:
k = -1
Step-by-step explanation:
Use the distributive property to eliminate parentheses. That property tells you that the outside factor multiplies each term inside parentheses:
-3(k -8) -(k +5) = 23
-3k -3(-8) -k -(+5) = 23
-3k +24 -k -5 = 23 . . . . simplify
-4k +19 = 23 . . . . . . . . . collect terms
-4k = 4 . . . . . . . . . . . . . subtract 19 from both sides
k = -1 . . . . . . . . . . . . . . . divide both sides by -4
_____
The rule for manipulating equations is, "any operation performed on one side of the equation must also be performed on the other side." Operations include addition, subtraction, multiplication, division, application of a function. Using the distributive property and collecting terms are ways to simplify equations that don't affect the truth of the equal sign (if those are done correctly).
In general, you make use of inverse operations to undo the operations you don't want. The goal is to get the variable by itself on one side of the equal sign.
An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base? 6.3+b=15.7 12.6+b=15.7 2a+6.3=15.7 2a+12.6=15.7
Hey There!!
The answer to this is: isosollese triangle has 2 equal sides that are longer than legnth of base
perimiter=15.7
equation is 2a+b=15.7
so if the longer side is 6.3, wat is legnth of base
we know that identical sides are bigger so 6.3 is one of the identical sides
2a means the 2 idneical sides
2(6.3)+b=15.7
12.6+b=15.7
subtract 12.6 from btohs ides
b=3.1
Thus, answer is base=3.1 cm
Hope It Helps!~
Answer:
answer B 12.6 +b =15.7
Step-by-step explanation:
hope this helps got it correct
abc is an isosceles triangle. Solve for x. In your final answer, include all of the necessary calculations
Answer:
The Angle of C = 46
X = 180 - 46
X = 134
Step-by-step explanation:
The cost of a daily rental car is as follows: The initial fee is $59.99 for the car, and it costs $0.30 per mile. If Joan's bill was $200.00 before taxes, how many miles did she drive?
Answer:
.466.7 miles
Step-by-step explanation:
[tex]total \: cost - rental \: cost = \: the \: total \: cost \: for \: travel \: in \: miles[/tex]
[tex]200 - 59.99 = 140.01 [/tex]
[tex]\ 140.01 \div 0.30 = 466.7 \: miles[/tex]
A map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 18 square inches. what is the actual area of the lake?
Answer:
The area of the lake is actually 182 square miles 1 inch represents one side 3 miles long the other side is also 3 miles. 3×3=9 square miles. 1 Square Inch on the map represents 9 Square Miles.Step-by-step explanation:
The actual area of the lake is 162 square miles if the map that was created using a scale of 1 inch : 3 miles.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object, is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
We have:
A map that was created using a scale of 1 inch : 3 miles
1 inch = 3 miles
1 square inch = 9 square miles
The area of the lake = 18 square inches
The actual area of the lake = 18×9 = 162 square miles
Thus, the actual area of the lake is 162 square miles if the map that was created uses a scale of 1 inch : 3 miles.
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1) Determine the unit rate of travel for each animal by dividing the distance traveled (y) by the
number of hours (x).
Bottlenose Dolphin: 40 = 20 miles per hour
King Penguin: 40 = 5 miles per hour
Swordfish: 60 miles per hour
Answer:
It takes the Dolphin 2 hours for swimming 40 miles. The penguin takes 8 hours and the swordfish will take 2/3 of an hour, which is 40 minutes to travel 40 miles.
Step-by-step explanation:
Given :
The bottlenose dolphin travels 40 miles in 2 hours. Or it takes 20 miles in 1 hour.
Now, dividing the distance by unit rate given in the question:
40/20=2 hours
40/5=8 hours
40÷60= 2/3 hour
Therefore,
- the dolphin takes 2 hours for swimming 40 miles.
- the penguin takes 8 hours
- the swordfish takes 2/3 rd of an hour
What are the steps, in order, needed to solve - 5 = 20? Add 5, and then divide by 2. Subtract 5, and then multiply by 2. Add 5, and then multiply by 2. Subtract 5, and then divide by 2.
Answer:
Add 5, and then multiply by 2
Step-by-step explanation:
The members of a film crew are at least 75 miles from their camp and must carry equipment back to camp before a storm arrives. The storm is scheduled to begin in 24 hours. They plan to travel as far as possible by truck and then walk the rest of the way. The truck can travel at a rate of 10 miles per hour through the terrain, and the team can travel 2 miles per hour on foot. Which system represents the number of hours the crew can travel by truck, x, and on foot, y, to reach camp before the storm? x + y < 24 2x + 10y ≥ 75 x + y > 24 2x + 10y ≥ 75 x + y < 24 10x + 2y ≥ 75 x + y > 24 10x + 2y ≥ 75
Answer: B
Step-by-step explanation:
the diagram represents a 12 cm by 4 cm rectangle, calculate the area of the rectangle, giving the units of your answer.
Answer:
Answer: 48cm^2
Step-by-step explanation:
The formula for area of rectangle is length × width
So u do 12 × 4 = 48cm^2
Step-by-step explanation:
Answer:
48 cm^2
Step-by-step explanation:
Multiply the length and width of this rectangle to obtain its area:
(12 cm)(4 cm) = 48 cm^2
Please help me understand this problem
Answer:
y = 6x
Step-by-step explanation:
Choose two points on the graph of this line for the purpose of calculating the slope (rise/run). One such point is (0, 0), which is a good choice because both x and y are exactly zero there. Another point would be (16, 96), as the line goes through this point exactly.
Then the slope is m = rise / run = 96/16 = 6.
We'll use y = mx + b, with x = 0 and y = 0, learning immediately that b must be 0.
Thus, the equation of this graph is y = mx + b => y = 6x, which is a proportional relationship.
Hi Dear Brainly User!
Answer: y = 6x
y and x:
12 - 2
24 - 4
36 - 6
.......
If we want to find m, we divide y by x. (m: the slope)
m = y/x = 12/2 = 24/4 = 36/6 = ... = 6
We use for find the y:
y = ax + b
Then, we write y = 0 and x = 0 on the formula.
And we find the b is 0.
If we multiply the slope by x, we get y.
y = 6*x = 6x
Sorry for my bad English.
-You should smile, everytime :)
Please help. I don’t understand how to do this
Greetings from Brasil...
Let's apply the given formula:
A = (1/2)·B·H
The base of this polygon (in this case, the triangle) is B
B = X² - 2X + 6
The height of this polygon is H and is H
H = X + 4
Applying these values (B and H) in the given formula.....
A = (1/2)·B·H
A = (1/2)·(X² - 2X + 6)·(X + 4)
A = (1/2)·(X³ + 2X² - 2X + 24)
A = (X³/2) + X² - X + 12
OR
A = (X³ + 2X² - 2X + 24)/2
Answer:
First find hypotenuses
Step-by-step explanation:
First you must find h by using formula
A^2+b^2=c^2 when you find this you already given base and put the c you find is h and b is given in the formula you will get area
Graph parallelogram WXYZ with coordinates W(-9,9) X(-6,9) Y(-4,4) Z(-11,4).Translate by moving right 5 and up 2. What are the coordinates of the transformed image? Line segment WX and line segment YZ are parallel. In the transformed image, is line segment W’Z’ parallel to line segment Y’Z’? Explain your answer.
Answer:
The coordinates of the trasformed image is W(-4,11) X(-1,11) Y(1,6) Z(-6,6)
WZ and YZ are not parallel
Step-by-step explanation:
Calculate 12% simple interest to be paid on a loan of $2000 repaid in 1 1/2 year?
Answer:$360
Step-by-step explanation:
I=PRT
I=12/100×2000×1.5
I=24×1.5
I=$360
Theresa and Mark are playing cards. Each card is -50 points.
A) How many points does There have if she has 5 cards?
B) How many points does Mark have if he has 8 cards?
C) Who has more points?
*Since each card is worth -50 points, you need to remember that a positive times a negative integer gives you a negative integer.*
Part A) Theresa has 5 cards so: 5 x -50 = -250
Theresa has -250 points.
Part B) Mark has 8 cards so: 8 x -50 = -400
Mark has -400 points.
Part C) Theresa has more points because -250 is closer to 0 on a number line.
Answer:
Negative x Positive = Negative
A) -50 x 5 = -250
B) -50 x 8 = - 400
C) Theresa
-250 > -400
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7. If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options. –2 in. 0 in. 0.5 in. 2 in. 7.9 in.
The answer is 0.5 and 2 in.