Answer: Holly would take 60 minutes to clean alone.
Step-by-step explanation:
Let t = Time taken by Holly to clean alone.
Given: Time taken by Mia to clean alone = 30 minutes
Time taken by Mia and holly to clean their room = 20 minutes
Then,
[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]
Hence, Holly would take 60 minutes to clean alone.
If you spin the spinner, what is the probability of the pointer landing in the y section
Answer:
1/8
Step-by-step explanation:
The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?
Answer:
6; 8; 10
Step-by-step explanation:
First side: x
Second side: x+2
Third side: x+4
x + x + 2 + x + 4 = 24
3x + 6 = 24
3x = 18
x=6
First side: 6
Second side: 8
Third side: 10
fred sold half of his comic books and then bought 8 more he now has 16 how many did begin with
Answer:
16 I think
Step-by-step explanation:
If he now has 16 and he bought 8 you have to do 16-8 which is 8. He sold half and got to 8. Half of 16 is 8. (Sorry if that didn't make sense)
I hope this helped!
What is solution of 5(x - 3)=4(x + 2)
Answer:
x=23
Step-by-step explanation:
You simplify both sides of the equation, then isolate the variable.
Answer:
x=23
Step-by-step explanation:
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
31.4
Step-by-step explanation:
first you take your radius of 5 and times it by 2.
5 x 2 = 10
times 10 by pie
10 x 3.14 = 31.4
HELPPP what is 2x - 5 by the Square root of 9
HELP PLEASE!! Type the correct answer in each box. The graph shown is not a function because points (-1, 2)
Answer:
(-1,0)
Step-by-step explanation:
Look to see which points have the same x value (in this case -1)
3 which number line best represents 2÷1/4
Answer:
the second choice
Step-by-step explanation:
2 has to be divided into 8 parts in total which is shown by option B
Help me please find the slope and y-intercept
Answer:
Slope is 2.15
y-intercept is 2
Step-by-step explanation:
We need to find slope and y-intercept of the graph given.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Looking at the graph, we can find 2 points
Point 1 : (0,-2)
Point (2): (2,-2.3)
Now putting values and finding slope:
We have: [tex]x_1=0, y_1=-2, x_2=2, y_2=-2.3[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15[/tex]
So, we get slope = 2.15
Now, finding y-intercept
y-intercept can be found if we put x =0
Looking at the graph, when x =0, y = 2
So, y-intercept is 2
A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me
Answer:
The ratio is 20:30, or 2:3 in simplest form
Plzzzzz give me Brainliest!
Answer:
2/5 or 40%
Step-by-step explanation:
20 out of fifty is hard so make it 40 out of 100 and it's easy 40%
You plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x
Answer:
[tex]y = 4x + 6[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Fee = \$6.00[/tex]
[tex]Rate = \$4.00[/tex]
Required
Derive the linear equation
Let the number of games be x.
Let the total cost be y
So, if the rate of 1 game is $4
Then x games costs 4x
The total cost (y) is then calculated as:
y = Initial Fee + Cost of x games
Substitute values for initial fee and cost of x games
[tex]y = 6 + 4x[/tex]
Rewrite as:
[tex]y = 4x + 6[/tex]
what is 5+1 please hurry
Answer: 6
Step-by-step explanation:
Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?
Write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)
Answer:
The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
Step-by-step explanation:
We need to write an equation in slope-intercept form perpendicular to the given equation through the given point
y = -3x + 4
(6,-2)
The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding slope:
The given line is perpendicular to required line, so there slopes are opposite
The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)
The slope of required line is: [tex]m = \frac{1}{3}[/tex]
Finding y-intercept:
y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)
[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]
So, we get y-intercept b =0
Equation of required line:
So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:
[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
Which table represents a nonlinear function?
Answer: c
Step-by-step explanation:
What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2
A travelers ground speed is 2 feet per second against the walkway and 8 feet per second with the walkway, what is the travelers speed off the walkway, what is the speed of yhe walkway
Answer:
The traveller's speed is 5ft/s and the walkway speed is 3ft/s
Step-by-step explanation:
Given
Represent the traveller's speed with T and the walkway's speed with W.
When the traveller walk against the walkway, we have:
[tex]T - W = 2[/tex] ---- i.e. 2ft/s against the walkway
When the traveller walk with the walkway, we have:
[tex]T + W = 8[/tex] ---- i.e. 8ft/s with the walkway
Required
Solve for W and T
[tex]T - W = 2[/tex] --- (i)
[tex]T + W = 8[/tex] --- (ii)
Add (i) and (ii)
[tex]T + T - W + W = 2 + 8[/tex]
[tex]T + T = 2 + 8[/tex]
[tex]2T = 10[/tex]
Divide both sides by 2
[tex]\frac{2T}{2} = \frac{10}{2}[/tex]
[tex]T = \frac{10}{2}[/tex]
[tex]T = 5[/tex]
Substitute 5 for T in (ii)
[tex]T + W = 8[/tex]
[tex]5 + W = 8[/tex]
Make W the subject
[tex]W = 8 - 5[/tex]
[tex]W = 3[/tex]
Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s
A student has a container with a volume of 1.5 liters. She estimates the volume to be 1.8 liters. By what percent is the students estimate off?
Answer:
20%
Step-by-step explanation:
Plz help I do t have much time!!!!!!!!! Which expression is represented by the model?
A.
B.
C.
D.
Answer:
4x-3 or A
Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3
Answer:
Hi, this is a strange problem but I believe the answer is A) 4x-3.
Step-by-step explanation:
I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)
Michelle lives 4.5 miles from work. Kelly lives 5.6 kilometers from work. Staci lives 4,200 meters from work. Kyle lives 670,000 centimeters from work.
Answer:
Michelle < Staci < Kelly < Kyle
Kyle is the greatest distance from work, while Michelle is the closest to work.
Step-by-Step Explanation:
1 kilometer = 0.62137119 mile(s)
4.5 miles = 0.62137119 × 4.5 = 2.79617036 kilometers
4,200 meters = 4.2 kilometers
670,000 centimeters = 6.7 kilometers
So,
Michelle = 2.8 kilometers (rounded up)
Kelly = 5.6 kilometers
Staci = 4.2 kilometers
Kyle = 6.7 kilometers
So,
Michelle < Staci < Kelly < Kyle
Kyle is the greatest distance from work, while Michelle is the closest to work.
Hope this helps! ^^
Please answer this questions step by step
Answer:
(a) When a = 4 and b = -5, a² + b² - a·b = 61
(b) When a = 4 and b = -5, a³·b + a·b² = -220
(c) [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]
(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82
Step-by-step explanation:
The question relates to evaluation of expressions, given the values of the variables, "a" and "b"
Where;
a = 4 and b = -5
(a) For a² + b² - a·b, we have;
a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61
(b) For a³·b + a·b² we have;
a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220
(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;
[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]
[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]
(d) For (a + b)² - (a - b)² we have;
(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82
When a = 4 and b = -5, (a + b)² - (a - b)² = 82
A 12 ounce latte costs $3.00. Write an equation that relates the cost in dollars, y, to the number of ounces, X.
a
y= 3x
y= 0.25%
y= 4x
y= 12x
A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?
Answer:
Tax amount = $15.00 x 0.06 =0.9
Total amount of the basketball = $15.00 x 1.06 = $15.90
Answer:
Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90
Step-by-step explanation:
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
6
Step-by-step explanation:
it as a interior angle of a regular polygon is 23
Times it by 6 and take away 10 and the result is 44
Answer:
(for your second question) 23.69
Step-by-step explanation:
SOMEONE FIND THE PERIMETER OF THIS SHAPE AND ILL GIVE BRAINLIEST IF UR RIGHT
Answer:
28cm
Step-by-step explanation:
7x4
or
7+7+7+7
(1) Logan has 6 pounds of paste. Each time he makes dinner he uses 34 pound of
pasta. How many dinners can he make
8 dinner
SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ
Step-by-step explanation:
XJDUXIDB DUDUU
When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.
Answer:
R(t) = 10 + 0.50t
Step-by-step explanation:
I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?
Answer:
4:7 7 being to total number of marbles (part to whole ratio)
There are 16 blue marbles were in the bag before I added more.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The ratio of blue marbles to yellow marbles is 4 : 3.
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Now,
Since, The ratio of blue marbles to yellow marbles is 4 : 3.
Hence, Number of blue marbles = 4x
Number of yellow marbles = 3x
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Then, We can formulate;
⇒ 4x + 5 / 3x - 3 = 7x / 3x
⇒ (4x + 5) / (3x - 3) = 7 / 3
⇒ 3 (4x + 5) = 7 (3x - 3)
⇒ 12x + 15 = 21x - 21
⇒ 15 + 21 = 21x - 12x
⇒ 36 = 9x
⇒ x = 4
Thus, The number of blue marbles = 4x
= 4 × 4
= 16
Learn more about the ratio visit:
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