How many liters each of a 30% acid solution and a 50 % acid solution must be used to produce 70 liters of a 40 % acid solution? (Round to two decimal places if
necessary.)
Answer:
30%: 35 liters
50%: 35 liters
Step-by-step explanation:
The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.
35 liters of 30% acid and 35 liters of 50% acid must be used
_____
If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...
0.50x +0.30(70 -x) = 0.40(70)
0.20x +21 = 28 . . . . simplify
0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20
x = 35 . . . . . . amount of 50% solution (liters)
70-x = 35 . . . amount of 30% solution (liters)
When a number is decreased by 20% of itself, the result is 96. What is the number?
The number is
Answer:
480
Step-by-step explanation:
Take 96 and divide it by 2 to get what ten percent would be: 48
Then just multiply 48 by ten for 100% (The number): 480.
To check, take a calculator and do 480-20% and it equals 96.
identify the range of a function plsss help
Answer:
C.
Step-by-step explanation:
Range is the set of y-values that are outputted by x-values in a function.
We see that our y-values span from -1 to 3, and since they are closed dots, they are included in our range. Therefore, our range is C.
If Beyoncé performed as many songs as
Robyn per capita, how many would you
expect Beyoncé to sing?
Answer:
20 songs
Step-by-step explanation:
Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:
Robyn per capita = songs performed / population = 13 / 62000
Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:
Beyonce per capita = songs performed / population
13/62000 = songs performed / 91000
songs performed = 13/62000 × 91000 = 19.08
songs performed ≈ 20 songs
Beyonce is expected to sing about 20 songs
Answer:
Around 20
You can use the Distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
5 n/2= (a + b), for a
Answer:
5n/2 - b =a
Step-by-step explanation:
5n/2 = (a + b)
subtract b from both sides
5n/2 - b = a
can someone please help me answer this
Answer:
A. True
Step-by-step explanation:
congruent- in agreement or harmony
both triangles are the same
Find the area of a semicircle with a radius of 3 inches.
Answer:
Area of a CIRCLE with radius of 3 inches is
PI * radius^2 =
3.14159265 * 3^2 =
28.27433385 square inches.
Since we are dealing with a SEMI-CIRCLE, we divide that by 2 and get:
14.137166925 square inches which rounds to about
14.14 square inches
Step-by-step explanation:
Factors that influence a hypothesis test with the t statistic Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown calculating a t statistic and determining whether to reject the null hypothesis. Assume that your t statistic positive value and that you will reject the null hypothesis when t is very large. For each of the potential the components of your study design or the results listed below, determine the change to the t statistic, select "Increases, " "Decreases, " or "Stays the same" from the dropdown menu in the right-hand column.
Please find attachment for full question Answer:
1. Stays same
2. Decrease
3. Stays same
4. Decrease
Explanation:
Please find attachment
An irrational number multiplied to a zero equals a rational number
O True
O False
Answer:
Irrational
Step-by-step explanation:
Answer:
false. an irrational number multiplied to a zero equals an irrational number.
Can someone answer this pls?? FAST
Find the coordinates of Rif Q(-1, 3) is the midpoint of PR and P has
coordinates of (5, 6)
Answer:
R(-7,0)Step-by-step explanation:
Let the midpoint of PR be Q(-1,3) where P is (5,6). To get the other coordinate R, we will use the midpoint formula as shown;
Q(X,Y) = {(x₁+x₂)/2, (y₁+y₂)/2}
From the formula;
X = (x₁+x₂)/2 and Y = (y₁+y₂)/2
From the coordinates given, X = -1, Y = 3, x₁ = 5 and y₁ = 6. To get x₂ and y₂, we will substitute the given points into the expressions above;
To get x₂;
X = (x₁+x₂)/2
-1 = (5+x₂)/2
cross multiply
-1*2 = 5+x₂
-2 = 5+x₂
subtract 5 from both sides
-2-5 = 5+x₂-5
x₂ = -7
Similarly to get y₂
Y = (y₁+y₂)/2
3 = (6+y₂)/2
cross multiply
3*2 = 6+y₂
6 = 6+y₂
subtract 6 from both sides
6-6 = 6+y₂-6
y₂ = 0
Hence the coordinate of R(x₂, y₂) is (-7,0)
Write an equation based on the word problem below and solve it. *
You have $150 in your savings
account. You earn money to
walk your neighbor's dog every
day after school. If it takes you
8 weeks to have $246 in your
account, how much money, m,
do you earn per week?
m = $13 per week
m = $12 per week
Om = $11 per week
O m = $10 per week
Answer:
m = $12 per week
Step-by-step explanation:
The equation would be 8m + $150 = $246. To find out how much money you earn a week, you need to solve for m.
First, subtract $150 from both sides of the equation. Doing so will leave you with an equation of 8m = $96.
Next, divide both sides by 8. This will leave you with m = $12, which is your final answer of how much money you earn a week.
is 2 by 2=4 rational or inrational and why
Answer: Rational number.
Step-by-step explanation:
Rational numbers:
Any number which can be expressed in the form of p/q.
Where q is not equal to Zero.
p,q are integers.
Here in 2/4 ,
p=2
q=4
Answer: Rational
Step-by-step explanation:
A rational number is an integer divided by an integer where the result is a terminating or repeating decimal.
2 x 2 = 4 --> 4 is terminating so it is a rational number.
If you are in a higher level math class, the reason is:
Rationals are CLOSED over multiplication.
Solve for x.
-3(2x – 1) – 3x – 4 = 17
The Answer Is x=-2
Hope This Help's
Answer:
[tex] \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star[/tex]
Step-by-step explanation:
[tex]: \implies{ - 3(2x - 1) - 3x - 4 = 17}[/tex]
[tex]: \implies{ - 6x + 3 - 3x - 4 = 17}[/tex]
[tex]: \implies{ - 6x - 3x + 3 - 4 = 17}[/tex]
[tex]: \implies{ - 9x - 1 = 17}[/tex]
[tex]: \implies{ - 9x = 17 + 1}[/tex]
[tex]: \implies{ - 9x = 18}[/tex]
[tex]: \implies{ \displaystyle{x = \frac{18}{ - 9} }}[/tex]
[tex] \: \: \: \: \: \: \: \: \star{ \: \implies{ \red{x = - 2}}}[/tex]
Jay's father is twice as old as jay. In 20 years Jay will be two-thirds as old as his father. How old is each now?
Answer:
the answer is 2
Step-by-step explanation:
Liz has 72 stamps in her collection. Risa, who just started her collection, has 9 stamps. Liz’s collection is how many times larger than Risa’s?
Answer:
8× (8 times)
Explanation:
For this question, divide.
72 ÷ 9 = 8.
Your answer will be 8.
Answer:
8 times as many
Step-by-step explanation:
8x9=72
the solution to the division problem writtren as a mixed number is 10x426=4260
Answer:
266 1/4th. I hope this helped, and I would appreciate it if you gave it a good rating. :)
Step-by-step explanation:
1,065 ÷ 4 = 266 and remainder = 1 =>
1,065 = 266 × 4 + 1 =
1,065/4 =
(266 × 4 + 1) / 4 =
266 + 1/4 =
266 1/4
The required division is given as 4260 / 10 = 426.
Given that,
The solution to the division problem writtren as a mixed number is 10x426=4260
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here.
10 * 426 = 4260
4260 / 10 = 426
Dividend / divisor = quotient,
Thus, the required division is given as 4260 / 10 = 426.
Learn more about arithmetic here:
brainly.com/question/14753192
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Solve. 4 11/16 ÷1 1/4 ? 2 1/8 2 1/4 3 7/16 3 3/4
Answer:
3 1/4
Step-by-step explanation:
4 1/16÷1 1/4=
65/16÷5/4=
65/16*4/5=
260/80=
3 20/80=
3 1/4
Historically, making a quilt was an opportunity for communities to come together and socialize with one another. Is there a modern practice similar to that of making a quilt? A time when a group of individuals come together to create something.
Answer:Yes
Step-by-step explanation:
Kind of like the Declaration of Independence if you’re in the US people gathered to create the declaration of our freedom from British control, way back in 1776
Which expression is equivalent to 25 x 1/5?
Answer:
The answer would be E.
When you solve 25 x 1/5, you get 5.
When you solve 25 ÷ 5, you get 5.
The equivalent expression is 25 ÷ 5.
Option E is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example.
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
25 x 1/5
= 25 x 1/5
= 5 x 5 x 1/5
= 5
Now,
1/25 x 5
= 1/5
1/25 x 1/5
= 1/125
1/25 ÷ 1/5
= 1/25 x 5
= 1/5
5 ÷ 25
= 5/25
= 1/5
25 ÷ 5
= 5
We see that,
25 x 1/5 and 25 ÷ 5 have the same value.
Thus,
The equivalent expression is 25 ÷ 5.
Learn more about expressions here:
https://brainly.com/question/3118662
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What is the least common denominator of the equation 3/4(x-3)-1/2=2/3?
2
9
12
36
Find the Slope using the Slope Formula
Answer:
Slope = -1
Step-by-step explanation:
Given coordinates,
→ x1 = -2
→ y1 = 1
→ x2 = -3
→ y2 = 2
Now we have to,
→ Find the slope using slope formula.
Formula we use,
→ Slope (m) = (y2 - y1)/(x2 - x1)
Let's find the required slope,
→ m = (y2 - y1)/(x2 - x1)
→ m = (2 - 1)/(-3 - (-2))
→ m = (2 - 1)/(-3 + 2)
→ m = 1/(-1)
→ [ m = -1 ]
Hence, the value of slope is -1.
9) 1 = 0.99 + z? 10
Answer:
0.99+10=10.99
Step-by-step explanation:
What is a possible value of x if -5 < x< 0?
Answer:
x=-4,-3,-2or-1
Step-by-step explanation :0
What do the equations have in common? y = -2 x + -3 y = -2 x + -3
Answer:- the equation have -2x common.
Six times the sum of a number and 8 is 30. Find the number.
Answer:
-3.
Step-by-step explanation:
= 6(Sum+8) = 30
= 6Sum + 48 = 30
= 6Sum = -18
= Sum = -3
Hope this helps you :)
Answer:
the answer to this is 6(-3+8)=30
Enter the addition problem so the fractions have a common denominator. Then find
the sum. 1/10 + 3/5
Answer:
7/10
Step-by-step explanation:
1/10 + 3/5
1/10 + 6/10
7/10
Given that U = {1, 2, 3, 4, 5, 6), find the complement of the set A = {1, 3, 5).
Answer:
complement of set A={2,4,6}
hope it helps
plz mark as brainliest
If anyone is good in Pythagoras theoram please help me
Answer:
a^2+B^2=c^2
Step-by-step explanation:
Step-by-step explanation:
(Hyp)² = (Base)² + (Height)²
C² = a² + b²
C= √a²+b²
This is the formula to find Hypotenuse of a right angled triangle
How many quarters are in $20