Answer:
80 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 60 gallons of water in the tank and water flows in at 3 gal/min. In x minute, the amount of water in the tank = 60 + 3x
Water flows out at 1 gal/min, therefore in x minute the amount of water in the tank = 60 + 3x - x = 60 + 2x
The tank begins to overflow when it is full (has reached 130 gallons). Therefore:
130 = 60 + 2x
2x = 130 - 60
2x = 70
x = 35 minutes.
In 35 minutes the tank would start to overflow.
1 lb salt per gallon flows into the tank at 3 gal/min, in 35 min the amount of salt that entered the tank = 3 gal/min × 35 min × 1 lb/gal = 105 lb
1 lb salt per gallon flows out of the tank at 1 gal/min, in 35 min the amount of salt that flow out of the tank = 1 gal/min × 35 min × 1 lb/gal = 35 lb
Initially there is 10 lb of salt dissloved into 60 gallons of water.
Therefore the amount of salt is in the tank when it is about to overflow = 10 + 105 - 35 = 80 lb of salt.
Solve the equation.
b + 6 = 27
Answer:
Step-by-step explanation:
b+6=27
b=27-6
b=21
Answer:
b = 21
Step-by-step explanation:
To find this answer, all you have to do is subtract 6 from both sides of the equal sign, where you will cancel out the 6 and subtract 6 from 27. 27 minus 6 is 21, so you are left with b = 21
Help me I will give extra points
Answer: g(x) = -4x + 5
Please mark me brainliest instead of points
A movie theatre needed 980 popcorn
buckets. If each package has 9 buckets,
how
many packages will they need to
buy?
1. Set A represents rational numbers. Set B represents integers. Which diagram shows
the numbers placed in the correct
sets?
Set A
Set A
1.5
1
10
3
3.1
С
Set B
Set B
-12
Set A
Set A
7.1
10
2
win
mi
B
D
Set B
Set B
-3.4
-6.8
Answer: Choice C) Upper right corner (aka northeast corner)
====================================================
Explanation:
Rational numbers are ones where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.
Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.
Of the four answer choices, only choice C is correct.
Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.
Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.
Rewrite 118 as a fraction in lowest terms.
a can of paint covers 400 square feet how many cans will needed to cover 3,000 square feet
Answer:
7 and a half cans of Paint ( 7.5 cans of paint )Step-by-step explanation:
If one can of paint covers 400 square feet then this should be easy. Since you need 3,000 square feet covered with paint (and one paint can cover 400 sq) then just divide 3,000 by 400.
This will show you how many times 400 can go into 3,000 which is the same as saying "how many cans of paint can i used to cover 3,000 square feet?"
Hope this helped!-Gregmanuel works at cheese cake king. He earns $15 per hour as a busboy. the waiters he helps give him 25% of their tips.
a) if manuel worked 6 hours today, how much did he earn, without tips?
b) the waiters mauel assited waited on 16 tabels, and the total bill from all the these tabels was $1,188. the waitress earned 15% in tips, and 25% of these earnings to manuel. How much money did manuel make in tips?
c)what was manuel's total salary for the day?
d) what was manuel's average ernings per hour, including tips? round to the nearest cent
Answer:
a. 90
b. 44.55
C. 134.55
D. 22.42
Step-by-step explanation:
A. 6*15 = 90
B. 15 % of 1188 is 178.2, and 178.2 divided by 4 (0.25%) is 44.55
C 90 + 44.55 = 134.55
d. 134.55 divided by 6 hours worked is 22.42
a. The earning should be 90.
b. The money that should be made is 44.55.
c. The total salary for the day is 134.55
d. The Manuel average earnings per hour, including tips is 22.42
Calculation of the earning, money, total salry, and average earnings per hour:a.
The earnings should be
= 6(15)
= 90
b. The money made should be
The 15% of 1188 should be 178.2
Now we have to divide the 178.3 from 4 so it comes 44.55.
c. The total salary should be
= 90 + 44.55
= 134.55
d. The average earnings per hour should be
Here 134.55 divided by 6 hours = 22.42
Learn more about earnings here: https://brainly.com/question/24512296
All sale items are marked an additional 10% off the sale price. If a coat that originally costs $110 is on sale for 25% off, what is the new sale price? Is this a reduction of 35% off the original price
Answer:
The new sales price is $74.25
Step-by-step explanation:
110 x 0.25 = 27.5
110 - 27.5 = 82.5
82.5 x 0.10 = 8.25
82.5 - 8.25 = 74.25
Simply discounting 35% off the original price does not work in this specific problem.
The quotient of 5 and a number, k ? Write the algebraic expression
Answer:
[tex] \frac{5}{k} [/tex]
Step-by-step explanation:
Quotient refers to the result we get when we divide a number by another number. In more precise words, the dividend (numerator) over the divisor (numerator) equals the quotient.
In this case, 5 is the dividend, k is the divisor, which is representing an unknown number.
We cannot get an actual number, but we can use algebraic expression to express the quotient as follows:
Quotient of 5 and k = [tex] \frac{5}{k} [/tex]
The graph of y = |x-1|+7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?
The original equation: y = |x - 1| + 7
The new equation: y = |-x - 1| + 8
234 + 300 and scram. ok bio now go do homework no ples
Answer:
534
Step-by-step explanation:
x is less than nine
Answer:
x < 9
Step-by-step explanation:
x is less than nine
x < 9
Answer:
x<9
Step-by-step explanation:
less than symbol is this <
The question is x is less than 9
so
x<9
Hope this helps!
A farmer owns 28 acres of land . Of the 28 acres only 65% can be formed .how many acres Are available for farming ?
18.20 acres
Step-by-step explanation:28×65% =
= 28×65/100
= 1820/100
= 18.20 acres
say you have (-4,-4) and (8,4)
which ones are the y2, y1, x2, and x1
3|3t+1|=2|6t+3| Need hep
Answer:
your answer would be t=-1 or t=1
Step-by-step explanation:
-(2t-3) = 3t-2
Multiply
-2t+3 = 3t-2
Rearrange and Add up
-5t = -5
Divide both sides by 5
-t = -1
Multiply both sides by (-1)
t = 1
Which is the solution for the Negative Case
Solve the Positive Case
(2t-3) = 3t-2
Rearrange and Add up
-t = 1
Multiply both sides by (-1)
t = -1
have a great day!
What is the slope of the equation y-3 =-4(X - 5)?
-4
-3
20
23
Answer:
-4
Step-by-step explanation:
Write the equation of the line in point-slope form that passes through the given point with the given slope (1,5); m = -3
Answer:
y - 5 = -3(x-1)
Step-by-step explanation:
We have the slope and a point
Point slope form is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - 5 = -3(x-1)
jimmy has a pool sixteen feet wide and twelve feet long how much material does he need to cover the pool
Answer:
192 square feet of material
Step-by-step explanation:
You find the area of the pool, which is length x width, and that is 12 x 16, which is equal to 192
I hope this helps!
Answer:
16 x 12=192
Step-by-step explanation:
Predict how many times Max will choose a rectangular cracker if he carries out this process 200 times
Answer:
70 times.
Step-by-step explanation:
The following data were obtained from the question:
SHAPE >>>>>>>>>>>>> FREQUENCY
Oval >>>>>>>>>>>>>>> 18
Rectangle >>>>>>>>>> 14
Star >>>>>>>>>>>>>>> 8
TOTAL >>>>>>>>>>>>> 40
next, we shall determine the probability of chosing a rectangular cracker. This is illustrated below:
Event of Rectangle (nR) = 14
Sample space (S) = 40
Probability of chosing rectangle, P(R) =?
P(R) = nR/nS
P(R) = 14/40
P(R) = 7/20
Therefore, the probability of chosing a rectangular cracker is 7/20.
Thus, if the process were carried out 200 times, the probability of chosing a rectangular cracker will be:
= P(R) × 200
P(R) = 7/20
= 7/20 × 200
= 70
Therefore, max will chose a rectangular cracker 70 times.
(a) Reuben runs 12 miles in 96 minutes.
How many miles does he run per minute?
miles per minutes?
Answer:
0.125 miles per minute
Find f (7) when f (x) = -5x + 2.
Step-by-step explanation:
f(x) = -5x + 2
f(7) = (-5)(7) + 2
= -35 + 2
= -33
Answer:
f (x) = -5x + 2.
= -5*7+2
= -13
Step-by-step explanation:
I guess I was help full for u
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find the distance between theses points:(8,0),(-6,6). Round answer to nearest tenth if necessary.
Answer:
Chicken strips
Step-by-step explanation:
Dont ask they are just on my mind
The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?
Answer: 150 pages
Step-by-step explanation:
I usually just multiply the number by the percentage and it works out just fine :)
Nathan is hosting a part for 40 guests. He will count each of the 45 drop in guests as half a guest. How much of each food item should Nathan order?
Fried chicken- 24 pieces
Deli meats- 3 2/3
Lasagna 10 3/4
Answer:
25 guests is 2.5 times more than 10
Step-by-step explanation:
Multiply by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
1) The smallest perfect square number 1 point
divisible by 5, 6 and 27 is
Answer:
[tex]8100[/tex], which is the square of [tex]90[/tex].
Step-by-step explanation:
Factor the three divisors into prime numbers:
[tex]5[/tex] is a prime number itself.[tex]6 = 2\times 3[/tex].[tex]27 = 3^3[/tex].Any number divisible by these three divisors should include the following factors:
[tex]2[/tex],[tex]3^3[/tex], and [tex]5[/tex].Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)
[tex]2[/tex] becomes [tex]2^2[/tex] (add [tex]1[/tex] to the initial power of [tex]1[/tex] to obtain [tex]2[/tex].)[tex]3^3[/tex] becomes [tex]3^4[/tex].[tex]5[/tex] becomes [tex]5^2[/tex].The product of these three factors would be:
[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].
Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,
[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].
Answer:
8100 is the smallest perfect square divisible by 5,6 and 27
Step-by-step explanation:
5 = 5 * 1
6 = 2 * 3
27 = 3 * 3 *3
5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5
Factors of perfect square will be perfect squares
To make this a perfect, multiply by 5 * 2
Perfect square = 5 * 6 * 27 * 5 * 2
= 8100
Gabriella makes a profit of $.80 for every cup of coffee that she sells at her coffee shop she wanted to make a profit of at least $75 today on coffee if she’s sold 90 cups today which statement is correct
Answer:
Gabriela needs to sell 4 more cups of coffee to make a profit of $75.
She sells 90 cups and makes $0.80 profit on each cup. That equals $72 profit.
90 x $0.80= $72
She wants to make $75 profit.
$75 - $72 = $3 profit short for the day
$3/$0.80 = 3.75 cups of coffee short so to make her profit she must sell a total of 94 cups of coffee for the day or an additional 4 cups.
Step-by-step explanation:
catering company uses a linear function to determine the total cost of parties. The following table shows the costs for dinner parties with varied numbers of guests. What is the cost to cater a dinner party with 90 guests?
Answer:
Your answer is B. #795. Hope this helps!
Answer:
B. $795
Step-by-step explanation:
can I get an answer please
Answer:
the first one.
Salvador runs 24.5 miles per week. How many miles does he run each day?
Answer:
3.5 miles per day
Step-by-step explanation:
There are 7 days in a week
24.5 miles in a week
24.5 / 7 days
3.5 miles per day
Answer:
3.4 miles
Step-by-step explanation:
You would divide 24.5 by 7 since there are 7 days in a week giving you a quotient of 3.5
eric ran 3 miles in 20 minutes. what is eric’s speed?
Answer:
Step-by-step explanation:
speed=distance/time
20 minutes=1/3 hours
=3*3/1
=1miles/hour