Answer:
10%: 30 mL40%: 30 mLStep-by-step explanation:
The needed concentration is exactly halfway between the available concentrations, hence they must be mixed equally.
He should mix 30 mL each of the 10% and 40% solutions.
_____
The first step in solving any problem is to look at the given information, and at what is being asked for. Here, the mix that is being asked for is exactly halfway between the given concentrations, so you know without any further contemplation that the mix will be 50%/50% of each.
__
If the mix were something else, there are several ways the problem can be solved. I like to use a diagram that puts the available concentrations on the left in a column with the highest on top, the needed concentration in the next column in the middle, and the differences of these numbers on the diagonals in the right column.
Example: if the needed mix is 15%, the diagram would look like ...
40 5
15
10 25
The numbers on the right tell you the proportions required (5:25 = 1:5). For this example, you need 1 part 40% solution and 5 parts 10% solution to make a mix that is 15%. That's a total of 6 parts, so each "part" is 10 mL for 60 mL of solution.
We chose this example so every number in the diagram is different, so you could see how the instructions for use apply.
__
Another way to solve this is to let a variable represent the amount needed of the highest concentration. If we let that variable be x, for the given problem, we can write the equation for the amount of acid in the mix as ...
40%(x) + 10%(60 -x) = 25%(60)
0.30x = 9 . . . . . . . . subtract 6, simplify
x = 9/0.30 = 30 . . . . . mL of 40% solution
An emu that measures 22 inches in height is 14 inches less than 2 times the height of a stuffed toy canary. What is the height of the stuffed toy canary? Jesus thinks the height of the canary is 18 inches. Is this true or false?
Answer: The height of the stuffed toy canary is 18 inches so Jesus is right.
Step-by-step explanation:
We can represent the first statement by the equation 22= 2x - 14 where x is the height of the stuffed toy canary so solve for x
22 = 2x -14 Add 14 to both sides
+14 +14
36 = 2x Divide both sides by 2
x = 18
Jesus is right.
ILL GIVW YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!!! SHOW WORK
my - 2x
m=3 , y=6 , x = 8
Answer:
2
Work is shown in picture
4 cm
1
1
1
1
1
4 cm
/
5 cm
What is the volume of the solid?
Answer:
I don't know what you are asking.
What is the additive inverse of 3x+4
Answer: y = (x - 7)/3
Step-by-step explanation:
Please Help Me!!!!!!!
20. What is the least amount of principal you can invest at an 8% interest rate to earn at least $1000 in interest in 3 years?(Round your answer to the nearest dollar.)
A. $240
B. $5167
C. $20000
D. $4167
E. $6367
F. cannot be determined
Answer:
F. cannot be determined
Step-by-step explanation:
not enough information
Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. What belongs in cell A?
Answer: 96 teaspoons
Step-by-step explanation:
If 1 cup contains 16 tablespoons the 2 cups will contain;
= 16 * 2
= 32 tablespoons
If 1 tablespoon contains 3 teaspoons then 32 tablespoons will contain;
= 32 * 3
= 96 teaspoons
Write an equation that has a slope of 2 and goes through the point (2, 1).
Answer:
[tex]y=2x-3[/tex]
Step-by-step explanation:
When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:
[tex]y-1=2(x-2)[/tex]
Distribute the right:
[tex]y-1=2x-4[/tex]
Add 1 to both sides:
[tex]y=2x-3[/tex]
And that's our equation.
And we're done!
The median of 32,,21,60,3,5,17
Answer:
19
Step-by-step explanation:
What is the absolute value of 9?
Answer:
the absolute value of 9 is 9
For f(x)=-x^2-2x-2, find f(x+h)-f(x)/h
see the both photos for answer
Plzzz help !!!!!! Plzzzz
-2(4n-8) helphelphelp
Answer:
-8n+16. You can also put 16-8n
Someone pls help it’s a very short question!!!
(dont judge me I forgot)
Answer:
12.) 13 008 13.) 4 069 604
Answer:
12) 13008
13) 4069604
Step-by-step explanation:
Problem 12)
10000+ 3000 + 8 = 13008
Problem 13)
4 x 1000000 + 6 x 10000 + 9 x 1000 + 6 x 100 + 4 x 1 =
4000000 + 60000 + 9000 + 600 + 4 = 4069604
1. GIVE ANOTHER NAME FOR CM?
Answer:
decimetre is the answer
A computer software company conducted a telephone survey asking its customers how the software could be improved. Assume the survey was conducted by asking the questions below. Each of the questions defines a variable of interest to the company. Classify the data generated for each variable as quantitative or qualitative. Justify your classification.
Required:
a. Is the variable of interest defined by the question "How many hours per week do you use our software?" quantitative or qualitative?
b. Is the variable of interest defined by the question "For how many years have you been using our software?" quantitative or qualitative?
Answer:
Quantitative
Quantitative
Step-by-step explanation:
Given the following research questions to classify:
a. Is the variable of interest defined by the question "How many hours per week do you use our software?
This is a quantitative variable, because the question requires a numerical response such as 5. 10, 2 4 and so on upon which numerical or statistical calculations such as addition, subtraction, range, mean and so on can be performed.
B.) For how many years have you been using our software?
This is also a quantitative variable as the question expects a response of Numeric characteristic such as 2, 3 and so on depending on the number of years the respondent has been using the software
What is the product of (-6)(-7)(-1)
142
0 14
0 42
Answer:
-42
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
(-6)(-7)(-1)
Step 2: Multiply -6 and -7 together
(-6)(-7) = 42
Step 3: Multiply 42 and -1 together
42(-1) = -42
Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.
Answer:
1.10
Step-by-step explanation:
that's your answer
The location of the tug boat relative to the port will be 30.83 miles.
What is trigonometry?Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles.
The distance of ship A from the port is x
X²= 18²+30²
X²= 324+900
X²=1224
X=34.9857 miles
Bearing from port:-
Tanθ= 18/30
θ = tan^-1 3/5
θ= 31°
N 31° E
The distance of ship B from the port is y.
Y²= 27²+10²
Y²= 729+100
Y²= 829
Y=28.7924 miles
Bearing from port:-
Tanθ = 2.2
θ = 69.7°
90-69.7= 20.3
N 20.3°W
The distance between the two ships is z.
Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)
Z²= 2053+267.1
Z²= 2320.1
Z=48.18 miles
One-fifth of 48.18
=9.63 miles
The distance of the boat is D.
D/sin 60 = 34.9857/sin 100.7
D=30.83 miles
Therefore, the location of the tug boat relative to the port will be 30.83 miles.
To know more about trigonometry follow
https://brainly.com/question/25917342
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Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the
meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi
comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
Answer: D: 24 + 12R ≥ 100
Plz help me I’m md lost rn!
Answer:
6.4 km
Step-by-step explanation:
4x1.6
Answer:
6.4 km
Step-by-step explanation:
1.6 * 4 = 6.4
Solve for r:
B=dPIEr^2
Answer:
C
Step-by-step explanation:
So we have the equation:
[tex]B=d\pi r^2[/tex]
And we want to solve for r.
So first, isolate the r variable. Divide both sides by dπ. So:
[tex]\frac{B}{d\pi}=\frac{d\pi r^2}{d\pi}[/tex]
The right side cancels:
[tex]\frac{B}{d\pi}=r^2[/tex]
Take the square root of both sides:
[tex]r=\sqrt\frac{B}{d\pi}[/tex]
We can rearrange the terms:
[tex]r=\sqrt\frac{B}{\pi d}[/tex]
Our answer is C.
PLEASE HELP!! ASAP NOWWWW Two races that a student runs every year are the 1492-mile race in his hometown and the -meter race in his college town. Complete parts (a) through (d) below.
Answer:
College town race is 31% of the home town race.
Step-by-step explanation:
Length of hometown race = 3 miles
Length of college town race = 1492 meters
Since 1 meter = 0.0006214 miles
Therefore, 1492 = 0.93 miles
Percentage of college town race to the hometown race,
= [tex]\frac{\text{College town race}}{\text{Home town race}}\times 100[/tex]
= [tex]\frac{0.93}{3}\times 100[/tex]
= 31%
Therefore, the college town race is 31% of the home town race.
write the roster from of
{ x:x is a factor of 42 }
Answer:
the correct answer is
{2,3,6,7,14,21,}
2[( 62 -52) + 4]
Need help
Answer:
28
Step-by-step explanation: USE PEDMAS
2[(62-52)+4] = 2[(10)+4]= 2[14]=28
The students plan to eat lunch at a park. Each table can only seat 6 stud
If there are 48 students, how many tables are needed?
Answer:
They would need 8 tables.
Step-by-step explanation:
if there is 6 students on one table
6. 6. 6. 6+6+6+6+6+6+6+6= 48
6. 6. 6×8= 48 students
6. 6. 6.
The cost C (in dollars) of making n watches is represented by C=15n+85. How many watches are made when the cost is $385?
Answer:
20=n
Step-by-step explanation:
Take 385 and subtract 85. You get 300. Divide 300 by 15n. You get 20.
20=n
If you want to double check, replace n with 20 so the equation is
C=(15x20)+85
Hope I help!
Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64
Answer:
A) reflection over the x-axis, plus a vertical translation
Answer:
A
Step-by-step explanation:
EDGE 2020
Observations that deal with descriptions that cannot be expressed with numbers are called?
Answer:
rrrrrrrrrrrtuuuuuuuuuuuuuuuuu
Step-by-step explanation:
solve the equation (5x-7)(-3x+2)
Answer:
[tex]\large\boxed{-15x^{2} + 31x - 14}[/tex]
Step-by-step explanation:
(5x - 7)(-3x + 2)
The values inside of the parenthesis cannot be simplified, so distribute and multiply.
Distribute
(5x - 7)(-3x) + (5x - 7)(2)
Multiply
-15x² + 21x + 10x - 14
Add 21x to 10x
-15x² + 31x - 14
[tex]\large\boxed{-15x^{2} + 31x - 14}[/tex]
Hope this helps :)
what is 327 divided by 55
Answer:
[tex]5\frac{52}{55}[/tex]
Step-by-step explanation:
[tex]\frac{327}{55}=5\quad \mathrm{Remainder}\quad \:52\\\\\mathrm{Convert\:to\:mixed\:number:\:Quotient\frac{Remainder}{Divisor}}\\\\\frac{327}{55}=5\frac{52}{55}\\\\5\frac{52}{55}[/tex]
Match the vocabulary to the correct operation PLZ ANSWER:(