Answer:
1.5
Step-by-step explanation:
2 ft. / the number of sides for width (2) = 1 then 3 ft. / number of sides for length (2) = 1.5
1.5 x 1 = 1.5
A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?
Answer:
The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters
The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters
The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters
Step-by-step explanation:
The percentage of acid in the first acid solution = 20%
The percentage of acid in the second acid solution = 40%
The percentage of acid in the third acid solution = 70%
The volume they want to use the three solutions to obtain a mixture of = 56 liters
The concentration of the mixture they want to obtain = 50%
The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included
Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture
Therefore, from the question parameters, we get;
x + y + z = 56...(1)
z = 2·y...(2)
0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)
Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;
10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280
2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168
2·y + 5·z = 168
From equation (2) and (4), we get;
2·y + 5·z = 2·y + 5×(2·y) = 168
12·y = 168
y = 168/12 = 14
The volume of the second acid solution in the mixture, y = 14 liters
From equation (2), we have;
z = 2·y
∴ z = 2 × 14 = 28
The volume of the third acid solution in the mixture, z = 28 liters
From equation (1), we get;
x + y + z = 56
x = 56 - (y + z)
∴ x = 56 - (14 + 28) = 14
The volume of the first acid solution in the mixture, x = 14 liters.
Number 1 please if you can explain work
Answer:
Triangle DEF is similar the XYZ
Step-by-step explanation:
Because if you divide 10 by 18, you get 0.555555...
If you divide 14 by 25.2, you get 0.5555555.....
Seventy-five 6th grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade? *
Answer:
300 students in total
Step-by-step explanation:
25% out of 300 is 75
300 - 75 (25%) = 225
25% (75) + 75% (225) = 100% (300)
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D your bootiful/handsome! Have a great day luv <3
-Bee~
Answer:
300
Step-by-step explanation:
Question 1
Form the largest 5-digit number using the digits 9, 2,5, 4, 7 only once
a. 97542
b. 97524
c. 97425
d. 24579
Answer:
97542
Step-by-step explanation:
Write all the numbers in descending order
hope it helps
Answer: 97542
Step-by-step explanation: go in order of largest to smallest number as starting with a bigger number will let you end with a bigger number
Fill in the table for this input-output rule:
4
divide by 2
and add 1
input
3.
output
0
2.
-8
100
Answer:
1, 2, -3, 51
Step-by-step explanation:
0 ÷ 2 = 0, then + 1 = 1
2 ÷ 2 = 1, then + 1 = 2
-8 ÷ 2 = -4, then + 1 = -3
100 ÷ 2 = 50, then + 1 = 51
Evaluate: 19 - 3k] = 3
Answer:
k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]
Step-by-step explanation:
|19 - 3k| = 3
-3k = 3 - 19
-3k = -16
k = 16/3
k = 5 1/3
-19 + 3k = 3
3k = 3 + 19
3k = 22
k = 22/3
k = 7 1/3
Pls help !!!!!!!!!!!!
Answer:
x = 100°
Step-by-step explanation:
15° + 65° + x = 180°
80° + x = 180°
x = 100°
Beth filled 64 bottles of water. If each bottle holds 1 pint of paint, how many gallons of water does Beth have?
Answer:
8 gallons
Step-by-step explanation:
To answer this question :
convert pint to gallons multiply the value gotten in the above step by the total number of bottles1 PINT = 0.125 Gallons
1 x 0.125 = 0.125
total gallons of water = 64 x 0.125 = 8 gallons
Please help giving brainliest for the correct answer
Answer:
6 SQUARE CENTIMETERS
Step-by-step explanation:
It's pretty easy you just add it
but with different shapes you can multiply but fo this its 6
Brainliest if im right!
Answer:
6 square centimeters AKA C
Step-by-step explanation: I took the test
In the Figure, △ABC ≅ △FDE
You have the letters in the word "SCIENTIST." What is the probability that you pick a vowel,do not replace it,and then pick "T"?
Answer:
1/12
Step-by-step explanation:
Total choices = 9, vowels = I, E, I = 3
Hence, P (vowel) = 3/9 = 1/3
Since you do not replace it, new total = 8 and number of Ts = 2
Hence, P (T) = 2/8 = 1/4
As these events are dependent and T is picked after vowel,
total probability = 1/3 x 1/4 = 1/12
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
what 1 +1x5-5x9 i really need to know this by the next second
Answer: -39
Step-by-step explanation:
Hope this helps.
A store sold 655 bicycles last year. This year the store sold 582 bicycles. What is the percent of change in the number of bicycles sold from last year to this year? Round to the nearest percent
Answer:
12.5%
Step-by-step explanation:
Given data
Number of bicycles sold last year= 655
Number of bicycles sold this year= 582
%percent change= Iniitial -FInal/initial *100
%percent change= 655-582/582*100
%percent change= 73/582 *100
%percent change=0.125 *100
%percent change=12.5%
Hence the percent change is 12.5%
A coach is buying snacks for 22 players on a soccer match chip is a total of $77 to buy each player a bottle of water and energy bar the price of one energy bar is two dollars
The question is incomplete:
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Let w equal the price of a bottle of water. Write an equation that represents the situation.
Answer:
x=44+22w, where
x is the total amount paid
w is the price of a bottle of water
Step-by-step explanation:
With the information provided, you can say that the total amount paid is equal to the result of multiplying the price per energy bar for the number of energy bars purchased plus the result of multiplying the price per bottle of water for the number of bottles of water:
price per energy bar= $2
number of enrgy bars= 22
price per bottle of water= w
number of bottles of water= 22
x=(2*22)+(w*22)
x=44+22w, where
x is the total amount paid
w is the price of a bottle of water
How many whole numbers are there with not more than 4 digits IF YOU PUT A LINK OR UNHELPFUL ANSWER I WILL REPORT I WILL GIVE BRAINLIEST
Answer:
There are 9,999 positive whole numbers with 4 or less digits or less and one whole number which is neither positive nor negative.
This gives us 9,999+9,999+1 or 19,999 , whole numbers composed of 4 digits or less.
PLEASE HELP FAST
Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c
Find the length of each arc. Use the exact answer
Answer:
D) 16π/3 ft
Step-by-step explanation:
We solve the above question using the Arc length formula when our central angle is in degrees
The formula is given as:
Arc length = 2πr × θ /360
r = 4 ft
θ = Central angle in degrees = 240°
Hence,
2 × π × 4 × 240/360
8π × 240/360
8π × 20/30
16π/3 ft
Arc length = 16π/3 ft
Option D is the correct option
Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims
that the number of books she has read will always be at least 7 greater than the number of months since she
started reading.
Determine a whole number of books and a whole number of months that show Kayla's claim is incorrect.
Enter the number of books in the first response box.
Enter the number of months in the second response box.
Answer:
28 books and 14 months
Step-by-step explanation:
Because 28 is greater then 14 by 14 not 7
A group of students was randomly divided into two subgroups. One subgroup took a test in the morning, and the other took the same test in the afternoon. This table shows the results. Pass Fall Total Morning 28 75 Afternoon 53 22 75 Total 81 69 150 Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon. Draw a conclusion based on your results.
Answer:C
Step-by-step explanation: I believe it is C according to my calculations
Answer:C
Step-by-step explanation:
PLZ HELP QUICK
The area of a rectangle is represented by3x^{2}-10x-8. Which expression can also be used to represent the area of the same rectangle? explain your thinking.
1) (3x + 2)(x − 4)
2) (3x + 2)(x + 4)
3) (3x + 4)(x − 2)
4) (3x − 4)(x + 2)
just factorise it so the answer will be (3x+2)(x-4)
A developer wants to divide an 84 acre parcel of land into lots in the ratio 6:2:4. How many acres are each land division. WILL AWARD BRAINLIEST.
Answer:
42 acres, 14 acres, 28 acres
Ditch Digging Problem Doug Upp can dig a ditch in 3 hours. His
brother Phil could dig the same ditch in 5 hours. How long would it take to dig the ditch if both work together?
If steak costs $12.55 per pound, what will be the total cost of 0.6 pounds of steak?\
Answer:
Solve for X; whereas lb=pound, $=cost
1lb = $12.55
0.6lb = $X; therefore 6/10 lb = $X
Rewrite:
$12.55/1 lb = $X/6/10 lb; therefore $12.55/1 lb = 10/6(X); 10X=$12.55(6); 10X=$75.30; X=$75.30/10
X=$7.53 for .6 lbs.
Answer:
7.53
Step-by-step explanation:
I need help with this
help pls !
i’ll mark brainliest to whoever answers it right first.
thanks !
answer this qustion plz and if get right i might give you brainlist
Answer:
A
Step-by-step explanation:
SO right off the bat it cannot be c, for they do definatly change.
Next, lets find out how much they change by.
The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.
This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.
Now, the mean is already 500/4. This equals 125.
So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.
That is 500/5. This equals 100.
This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25
That is 5x more of a decrease than the mean.
SO it must be A, since the mean decreased more than the median.
how far apart are the cities ??
plssssss help
10-5?????
Answer:
2220
Step-by-step explanation:
5 thanks
Answer:
5
Step-by-step explanation:
yes
1 of 5
A = 3(a+b)h
Work out A if a = 6,b= 4 and h = 5 .
A=