If the two of you can wash 1 car in 6 minutes:
It will take you 10 minutes to wash the car alone
take your friend 15 minutes to wash the car alone
Let the duration you can work be represented by y
Let the duration your friend can work be represented by x
You can wash a car 1.5 times as fast as your friend
That is, y = 1.5x
Working together, the two of you can wash 1 car in 6 minutes
This can be represented by the equation
[tex]\frac{1}{x}+\frac{1}{y} = \frac{1}{6}[/tex]
Substitute x = 1.5y into the equation above
[tex]\frac{1}{1.5y}+\frac{1}{y} = \frac{1}{6}\\\\\frac{1+1.5}{1.5y} = \frac{1}{6}\\\\\frac{2.5}{1.5y} = \frac{1}{6}\\\\1.5y=2.5(6)\\\\1.5y=15\\\\y=\frac{15}{1.5} \\\\y=10[/tex]
It will take you 10 minutes to wash the car alone
Substitute y = 10 into x = 1.5y
x = 1.5(10)
x = 15 minutes
It will take your friend 15 minutes to wash the car alone
Learn more here: https://brainly.com/question/25547756
Naomi has earned $81 mowing lawns the past two days. She worked 3
1
2
hours yesterday and 3
1
4
hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?
Answer:
She would of made $40.5 because of $81 divided between the 2 days that she worked
An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for next year?
If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?
Answer:
The constant is that each 14 t-shirts you need to pay 78.40$
Step-by-step explanation:
If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.
Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones
Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.
The decimal numbers are 6.399 and 6.400.
The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.
A similar problem is given at https://brainly.com/question/17248958
If 2/3 of a number is 10, then what is 0.15 times of that number?
a) 225 b) 825 c) 22.5 d) 2.25
step by step explanation needed
Answer:
d) 2.25Step-by-step explanation:
Let the number is x.
2/3 of a number is 10:
2/3x = 10x = 3*10/2 = 150.15 times of the number is:
15*0.15 = 2.25Correct choice is d
1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve
Answer:
7
Step-by-step explanation:
I used keep change flip, and repeated the process and got the answer.
Hope this helps! :)
Answer:
1/72
Step-by-step explanation:
1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2
1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1
1/72
Quick i need your help !
Answer: 30
Step-by-step explanation:
Answer:
30 po brainliest answer po ty
What is a negative control.
Answer:
Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.
Step-by-step explanation:
find an equation of the line that passes through the points (-3,10) and (2,-5)
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +5 (from -3 to 2)
y changes by -15 (from 10 to -5)
so, the slope is -15/+5 = -3
the equation looks now like
y = -3x + b
let's use the first point
10 = -3×-3 + b = 9 + b
1 = b
so, the equation is
y = -3x + 1
find the length of segment AB
Answer:
E. 214
Step-by-step explanation:
Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal
8x - 37 = 5x + 17
3x = 54
x = 18
Now substitute to check
8(18) - 37 = 5(18) + 17
107 = 107
So if this is true, to find the segment A to B, just add segments A to F and F to B together
107 + 107 = 214
The length of segment AB is 214
help me help me help me
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required expression is ~
[tex] \sqrt{8} [/tex][tex] \sqrt{2 \times 2 \times 2} [/tex][tex]2 \sqrt{2} [/tex][tex] {2}^{1} \times{ 2 }^{ \frac{1}{2} } [/tex][tex](2 ){}^{1 + \frac{1}{2} } [/tex][tex]2 {}^{ \frac{2 + 1}{2} } [/tex][tex] {2}^{ \frac{3}{2} } [/tex]I hope it helps ~
m-2/3<-4 OR 3m -8>4
Pls help ⚠️
Answer:
-10 OR 4
Step-by-step explanation:
How to tell the degree of a polynomial graph.
Answer:
The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.
How do you solve
5x2 - 13x = 6
Using the ax2 +bx + c = 0 equation
I personally like the square method but I am lazy to draw this out (take too long)
5x²-13x-6 = (5x+2)(x-3)
x = -2/5 or 3
Double-check:
5x²-15x+2x-6 = 5x²-13x-6 √
Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.
Complete the table below showing the length of the fence and the cost.
Answer:
?
Step-by-step explanation:
i did this problem before.......hmmmmmmmmmmmmm...
The table gives information about the heights of 50 trees. Work out an estimate for the mean height of the trees.
Answer:
add h then divide by 2 for h times f
Step-by-step explanation:
solve pls brainliest
Answer:
1.8333
Step-by-step explanation:
Find x from this equation 7x-5=10-3x
Answer:
x=1.5
Step-by-step explanation:
7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5
ok done. Thank to me :>
Write each equation in STANDARD FORM. y=-2/3x+3
[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]
75 is 15% of what number
75 is 15% of 500!! If you get it wrong IM SO SORRY!!
Answer: 113.3333 (repeating 3’s)
Step-by-step explanation:
17 = 15%
divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%
11.33 = 10%
multiply 10 and 11.33 by 10 to get 100%
113.33 = 100%
what is the answer??????
Answer:
1) B 1 1/32 2) A 1.8
Step-by-step explanation:
1) 2 3/4÷2 2/3
Turn into improper fractions.
11/4÷8/3
Keep Change Flip
11/4x3/8
Multiply.
33/32
=1 1/32
2) 1 4/5 as a decimal.
Turn into an improper fraction.
9/5
Divide.
=1.8
Hope this helps :)
i don’t know what’s going on here, can someone help me?
Answer:
[tex](\frac{a}2;\frac{a}2)[/tex]
Step-by-step explanation:
You simply need to apply the formula for the midpoint of a segment - which is provided.
[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]
Find the length of each side of the parking lot, in metersTop: |-80| + |___| = ___ + 50 = ___mBottom: |___| + |50| = 80 + ___ + 50 = ___mLeft: |50| + |___| = ___ + 20 = ___mRight: |___| + |-20| = 50 +___ = ___m
Answer:
Step-by-step explanation:
Help homework due soon!!!
Solving a word problem using a system of linear equations:
Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?
The plans are illustrations of system of linear equations
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Let A represent plan A, and B represents plan B
On Monday, we have:
4A + 8B = 9
On Tuesday, we have:
2A + 3B = 4
Multiply the second equation by 2
2 * (2A + 3B = 4)
4A + 6B = 8
Subtract this equation from the first equation.
So, we have:
4A - 4A + 8B - 6B = 9 - 8
3B = 1
Divide both sides by 3
[tex]\mathbf{B = \frac 13}[/tex]
Substitute 1/3 for B in 2A + 3B = 4
[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]
2A + 1 = 4
Subtract 1 from both sides
2A = 3
Divide both sides by 2
[tex]\mathbf{A = 1\frac 12}[/tex]
This means that:
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Read more about linear equations at:
https://brainly.com/question/11897796
the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution
Answer:
[tex]250cm^2[/tex]
Step-by-step explanation:
length = 5 + 2w
width = w
P = Sum of all sides
P = 2 * (5 + 2w) + 2w
P = 10 + 4w + 2w
P = 6w + 10
Given Perimeter = 70cm
We substitute
6w + 10 = 70
6w = 70 - 10
6w = 60
w = 60/6
w = 10cm
Since length is 5 + 2w
length = 5 + (2 * 10)
length = 25cm
Area = lw
Area = 25 * 10
Area = [tex]250cm^2[/tex]
Answer:
let
b=x then'
l= 2x+5
Now
p=70
2(l+b)=70
2(x+2x+5)=70
6x+10=70
6x=60
x=6
b=x=10
l=2x+5=25
area of rectangle = l*b
25*10
=250 answer
2x+1+4x+7+5x-1+4x-18+7x-39
Answer: x=2
Step-by-step explanation:
opposite reciprocal of 1/3
Answer:
-1/3
Step-by-step explanation:
hope this helps
Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.
Solving the inequality, it is found that the correct interpretation of the solution is:
Reina's family can drive 83 more miles before they need to refill the gas tank.
The amount x of miles they can still travel is modeled by the following inequality:
[tex]221 + x \leq 304[/tex]
To solve it, we treat it similarly to an equality, hence:
[tex]x \leq 304 - 221[/tex]
[tex]x \leq 83[/tex]
Hence:
Reina's family can drive 83 more miles before they need to refill the gas tank.
A similar problem is given at https://brainly.com/question/11713066
The answer prior to this is WRONG. The correct answer is "at most 83" miles.
Alex and Maria went out for dinner. The bill was $25.80. They leave a 20% tip. How much of a tip will they leave?
Answer:
$5.16
Step-by-step explanation:
$25.80 x 20/100
Answer:
Step-by-step explanation:
Answer:
Tip Total: $ 5.16
Tip Each Person: $ 2.58
Total (Bill + Tip): $ 30.96
Total Each Person: $ 15.48
Did I do this correctly? (please help asap will mark brainliest)
Answer:
Ooh that is incorrect try again.
