How is a rate simile do different from a ratio?
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Sam can clean the pool in 5 hours; his coworker Glenn can clean the same pool in 7 hours. One day Sam
started to clean the pool by himself and worked for an hour. Then Glenn joined him, and the finished
cleaning the pool. How long did it take them to finish cleaning the pool?
Answer:
23/12 hours or 1.9167 hours
Step-by-step explanation:
We are told that Sam can clean the pool in 5 hours. This implies 1:5
Also, his coworker Glenn can clean the same pool in 7 hours. This implies 1:7
Since it's the same pool, let's generate a workrate formula.
Thus;
(1/5)x + (1/7)x = 1
Where x is the amount of time used by both of them to clean 1 pool
Simplifying it, we multiply each term by 35 to get;
7x + 5x = 35
12x = 35
x = 35/12
We are now told that One day Sam
started to clean the pool by himself and worked for an hour.
Thus, remaining time after Sam worked 1 hour is; (35/12) - 1 = 23/12 hours
Thus, time they both used to finish cleaning the pool is 23/12 hours
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]
So the percentage increase was 41.2%
6th grade math i mark as brainliest
Answer:
There are 5 terms
Step-by-step explanation:
each number is its own term
Consider the following system of equations
-2x+5y=19
Y=-5/6x-1/6
Use this graph of the system to approximate its solution
A. (13/4,-5/2)
B. (-5/2,13/4)
C. (-13/4,5/2)
D.) (5/2,-13/4)
Answer:
C
Step-by-step explanation:
We have the system of equations:
[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]
And we want to use the graph to approximate the solution to the system.
Remember that, graphically, the solution to a system of equations is where the two graphs intersect.
We can see that the point at which the two lines intersect is in QII.
Hence, x is negative and y is positive.
The only choices that satisfies these conditions are B or C.
However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.
Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.
So, our final answer is C.
What is the value of x?
(5y + 10)
(3x + 7)º
Answer:
x = 21
Step-by-step explanation:
[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]
The value of x and y are 21 and 20 degrees respectively.
What is linear pair?
Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
WE are given two adjacent angle (5y + 10) and (3x + 7)º
These angles make a linear pair so,
(5y + 10) + (3x + 7)º = 180
Also, we can see that angle Y and (3x + 7)º lies on a straight line then;
y + (3x + 7)º + 90 = 180
(3x + 7)º = 180 - 90 - y
(3x + 7)º = 90 -y
Now replace (3x + 7)º by 90 - y in the first equation.
(5y + 10) + (3x + 7)º = 180
(5y + 10) + (90 - y )º = 180
Finally, simplify;
4y + 100 = 180
4y = 80
y = 20
Now, (3x + 7)º = 90 -y =90 - 20
(3x + 7)º = 70
3x = 70 - 7
3x = 63
x = 21
Hence, the value of x and y are 21 and 20 degrees respectively.
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Help please ill mark you brainliest if right :)
someone help me please i need this fast
Answer:
B, A vertical translation of 2 units.
Step-by-step explanation:
Its going up which means its positive NOT negative, vertical is up and down. Please put me branliest if I'm right which I'm very sure I am. Hoped I helped!
Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?
==========================================
Work Shown:
c+0.35c = 1c+0.35c = (1+0.35)c = 1.35c
We can think of the increase of 35% as equivalent to 135%, since 100% + 35% = 135%, then we can convert 135% to its decimal form getting 1.35
In other words, if you increase the price by 35%, then the new price is 135% of its old one
new price = 135% of old price
new price = 1.35*(old price)
Question 8
Calculate the difference (4x2 + x - 5) – (5x2 - 1).
Answer:
x - 6
Step-by-step explanation:
(4x2 + x - 5) - (5x2 - 1)
According to the order of operations, parenthesis come first so we will solve what is in the parenthesis first.
Then we do the multiplication because it comes before addition and subtraction.
4x2 = 8
Now we have 8 + x - 5
Combine like terms and 8-5=3 so we have 3 + x
Now for the second one.
5x2=10
10-1=9
Subtracting this from the first expression we have:
3+x-9 =
x - 6
Ben ,Cam and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben some spendsI chopping, c is the number of hours Cam spends chopping and j is the number of hours Justin spends chopping.
Answer:
26 trees
Step-by-step explanation:
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?
Given:
b + 2c + 3j
Where,
b = number of hours Ben spends chopping
c = number of hours Cam spends chopping
j = number of hours Justin spends chopping
Substitute the below into the given expression
b = 8 hours
c = 3 hours
j = 4 hours
b + 2c + 3j
= 8 + 2(3) + 3(4)
= 8 + 6 + 12
= 26 trees
They chopped down 26 trees altogether
how do you work out the percentage increase
Find the number that completes the following problem. 2
x8
192
Answer:
the second one X=3
the third X=4
Answer:
24 x 8 = 192
(3+5) + 2 = 2(3+2)
3^4 ( 3 with the exponent of 4
Step-by-step explanation:
192 divided by 8 is 24.
3 + 5 + 2 is 10 so just have to put 3 in the box so that equals 10
there is 4 threes so it’s 3 with the exponent of 4
The contestant weighed in at 300 lbs last week. Their current weight is 285 lbs. What is
their percent of decrease?
Answer:
5%
Step-by-step explanation:
The contestant lost 15lbs. 10% of 300 is 30. Split both of those in half and 15 is 5% of 300.
Can the side of a triangle have lengths 1,4 and 6 yes or no
Answer:
no
Step-by-step explanation:
An ordinary coin is thrown 50 times.
Barry says "I am going to get heads 25 times and tails 25 times."
Explain why he could be wrong.
He could get 25 heads out of the 50 times but the percentage of happening that is very narrow.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
given, An ordinary coin is thrown 50 times. Barry says "I am going to get heads 25 times and tails 25 times."
To better understand Why he could be wrong we need to Understand the difference between Theoretical probability and Actual probability:
The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.
Because theoretical probability is based on models rather than reality, it isn't very helpful for determining probability in the actual world. Subjective probability is dependent on an individual's own assumptions and biases. It's the likelihood that an individual will encounter the result they are anticipating based on their prior experiences.
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Gold, jewelry, antique furniture, and other belongings are known as what?
Purchasing power
Needs
Assets
Wants
I belive it is assets
Nia put $750 in her savings account the simple interest rate is 3% of the account if nia doesnt withdraw or deposit.how much would nia´s acoount be at in 2.5 years
Answer:750 divided by 3
Step-by-step explanation:
Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
Answer:
$192
Step-by-step explanation:
That's all I
got
Please hurry, best answer gets brainly
find the product of (-2xy) (3y) (-7x)
Multiply the numbers:
-2 x 3 x -7 = 42
The the letters x time x = x^2
Y x y = y^2
Now combine for final answer:
42x^2y^2
HELP ASAP WILL MAKE BRAINLIST Answer the following questions.
1) Solve. Gravitation acceleration is 32 ft/sec.
Darnell kicked a football from the ground at an angle of 45° from horizontal. The
initial velocity of the football was 120 feet/second. At 2 seconds into the flight, how
high was the ball (y
) and how far downfield was it (c
)?
Answer:
lol can I get pic of the question
Which number represents 50% of 74?
35
37
38
39
Answer: 37!!!
Step-by-step explanation:
1. 50% equals .5 in decimal form.
When converting a percentage to decimal, divide by 100 or move the decimal point to the left twice.
2. The word of means multiply so we multiply .5 by 74.
3. We get 37!
hope this helped, brainliest plsss :))))
I was the first one!
2 A large water tank holds 600 gallons of water. It is losing water at the rate shown in
the table.
Hours (x)
0
1
2
3
4
Gallons of Water in Tank (y)
600
540
480
420
360
Answer:
its losing 60 gallons an hour
Step-by-step explanation:
PLEASE I NEED HELP I WILL GIVE BRAINLIEST
Daria wants to open a retail T-shirt business. She has determined that her start up cost will be $235,000. This amount includes $39,500 for the first year’s rent on the store, $22,750 for the equipment, $41,800 for the initial inventory, $18,500 for insurance, and $28,950 for heating and electricity. The rest of the cost would be for employee salaries. Write an equation that would allow you to calculate the cost of employees’ salaries (x), then solve the equation for x.
which phrase is usually associated with addition
The mean mass of 5 boys is 62 kg. When the mass of a boy is excluded, the mean mass of the remaining 4 boys becomes 64 kg. Find the mass of the boy that has been excluded
Answer:
54 kg
Step-by-step explanation:
x - regular boy
y - special boy who's weight we're counting
The mean mass of 5 boys:
(4x+y)÷5=62
The mean mass of 4 boys:
4x÷4=64
x=64kg
the mass of y boy:
(4×64+y)÷5=62
(256+y)÷5=62 |×5
256+y=310
y=310-256
y=54
A two-word phrase used to show division in a problem that starts with oc
Answer:
Out of
Step-by-step explanation:
A two-word phrase used to show division in a word problem.
Out of is a two-word phrase which is used to show division in a word problem.
Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)
Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hours total per week. He wants to make at least 65 dollars. Write a system of inequalities to represent this situation.
Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
[tex]x+y\leq 13[/tex]
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
[tex]4x+7y\geq 65[/tex]
Number of hours can not be negative.
[tex]x\geq 0, y\geq 0[/tex].
Therefore, the required system of inequalities contains some equations, [tex]x+y\leq 13,4x+7y\geq 65[/tex] and [tex]x, y\geq 0[/tex].