Answer:
Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2
Solution: 5.71 liters of 5% and 4.29 liters 40%
Step-by-step explanation:
The volume of the 20% acid solution the scientist needs = 10 liters
The concentration of the solution she has = 5% and 40%
Therefore, we have;
X volume of the 40% solution is mixed with 10 - X volume of the 5% solution, to obtain 10 liters of the 20% solution
Therefore, we have;
Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2
0.4·X + 0.5 - 0.05·X = 2
0.35·X = 2 - 0.5 = 1.5
X = 1.5/0.35 = 30/7
∴ The volume of the 40% solution = 30/7 liters ≈ 4.29 liters
The volume of the 5% solution = 10 - X = 10 - 30/7 = 40/7 liters ≈ 5.71 liters
Therefore, we have;
5.71 liters of 5% solution and 4.29 liters 40% solution.
While shopping at a music store, Rick bought 7 CD’s, all at the same price. The tax was $6.50 and the total was $66.00. What was the price of each CD?
Answer:
$8.50
Step-by-step explanation:
Subtract the tax from the total price:
66 - 6.50
= 59.5
Then, divide this by 7 to find the cost of each CD:
59.5/7
= 8.5
So, the price of each CD was $8.50
Answer:
8.50
Step-by-step explanation:
66-6.50=59.50
59.50 divided by 7 =8.50
work out 7 x 10 to the power of five /2 x 10 to the power of 2
Answer: 3500
Step-by-step explanation:
7 x 10 to the 5th power = 700000
2 x 10 squared = 200
700000/200 = 3500
Answer:
4201750
Step-by-step explanation:
7*10^5/2*10^2
7*10=70
2*10=20
70^5/20^2
70^5 =1680700000
20^2=400
1680700000/400=4201750
2895÷229=
PLZ RIGHT WITH WHOLE NUMBER AND REMANDER
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R:
Answer:
12 R 147
Step-by-step explanation:
SOLVE SEVEN AND SIX I WILL GIVE BRAINLIST
Answer:
C= 150.8 I hope this helped! Also I used Google because I didn't know.
Step-by-step explanation:
Answer:
5) 75.36ft
6) 150.72mm
Step-by-step explanation:
Bc, you need to multiply 24 * 3.14 and you'll get 75.36.
Select each set of points that are coplanar.
help me please its angle addition prostate
7x + 1 + x - 12 = -3
Answer:
x=1
Step-by-step explanation:
a fish tank is in the shape of a cube the. volume of the fish tank is 64 cubic feet. What is the area of one face of the fish tank in square feet?
16 square feet (also can be written with an exponent 2 as in 16 ft^2)
Cube root of 64 is 4.
Why cube root? Because you need to multiply three numbers to get volume ( length, width, height.)
4x4 is 16.
Area, so you have to add the square feet
16 ft^2
Or
16 square feet
Pls mark branliest if this helped
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =
Answer:
Lesser x is -13.
Greater x is 1.
Step-by-step explanation:
We have the function:
[tex]f(x)=(x+6)^2-49[/tex]
And we want to find the zeros of the function.
So, set f(x) to 0 and solve for x:
[tex](x+6)^2-49=0[/tex]
Add 49 to both sides:
[tex](x+6)^2=49[/tex]
Take the square root of both sides. Since we're taking an even root, we will need plus/minus:
[tex]x+6=\pm 7[/tex]
Subtract 6 from both sides:
[tex]x=\pm7-6[/tex]
Evaluate for each case:
Case 1; 7 is positive:
[tex]x=7-6=1[/tex]
Case 2; 7 is negative:
[tex]x=-7-6=-13[/tex]
So, our zeros are:
[tex]\{x|-13, 1\}[/tex]
Our lesser x is -13, and our greater x is 1.
And we're done!
7% decrease on a £6500 car.
he pays 12 every month
Answer:
£6045?
Step-by-step explanation:
What does Sokka drink when stranded in the desert in the show Avatar: The Last Airbender?
Answer:
Cactus Juice
Step-by-step explanation:
After drinking cactus juice, Sokka begins to hallucinate. Katara, Sokka, Toph, and Momo stagger tiredly through the desert.
Answer:
Cactus Juice. The quenchiest.
Determine the value of y, if x is 2.
y = |x| + 8
Answer:
what is 8/3y=5/6x-2 in standard form?
Answer:
Y=5/16x -3/4
Step-by-step explanation:
3/8 * 8/3y=(5/6x -2) *3/8
y=5/16x - 3/4
The standard form of the equation is 5x -16y = 2.
It is required to find the standard form.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
According to given question we have,
The least common multiple of the fraction denominators is 6. Multiplying by that gives
16y = 5x -2
We can put this in standard form by adding 2-16y to both sides.
5x -16y = 2
Therefore, the standard form of the equation is 5x -16y = 2.
Learn more details about arithmetic here:
https://brainly.com/question/11559160
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what is scientific notation and how do you do it?
Scientific notation is nothing but a rewriting of numbers in decimal number system by multiplying them with [tex]10^k[/tex] where k is a negative or positive whole number.
A three-dimensional figure is shown. Which net represents the figure?
Answer:
the fourth one on the bottom right
Step-by-step explanation:
Triangular prism is represented by the first net on the top.
What is three dimensional figure ?In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width, and height.
According to the question,
As shown given three dimensional figure is triangular prism.
In triangular prism we have,
Three rectangular face and two triangular face.
When we open the figure triangular faces should be on opposite side.
Hence, first figure on the top is representing the triangular prism.
Learn more about three-dimensional shape here
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2) Suppose 120 people are surveyed and asked about their eating habits. 50 people
stated that they like Raising Cane's chicken fingers, 80 people said that they like
Layne's chicken fingers. If 10 people don't like either, then...
a) What is the probability that someone surveyed likes both Raising Cane's and
Layne's chicken fingers?
Answer:
1/6
Step-by-step explanation:
Given that :
Total surveyed (u) = 120
n(Cane's chicken fingers) = 50
n(Layne's chicken fingers) = 80
n(do not like either) = 10
a)
What is the probability that someone surveyed likes both Raising Cane's and Layne's chicken fingers?
n(Cane's n Layne's) = 20
u = 120
P = required outcome / total possible outcomes
P(Layne's and Cane's chicken) = [n(Cane's n Layne's)/ u]
= 20 / 120
= 1/6
The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84
Answer:
15x^2 - 9x - 42
Step-by-step explanation:
(3x+6)(5x+7)
15x^2 +21x - 30x -42
15x^2 - 9x - 42
Use the function to fill in the table.
g(x)=-3x+1
3) You owe a friend $50.60. You pay them back $18.90. How much money do you still owe your friend?
Answer:
31.7
Step-by-step explanation:
Just subtract
which statements are true about the polynomial function?
f(x)=x^3+5x^2+6x
Statements given in the Options (3) and (4) are the correct.
Polynomial function given in the question is,
f(x) = x³ + 5x² + 6x
Check all the options whether they are true or false.
Option (1)
f(x) = 0 at x = 2,
Substitute the value x = 2 in the polynomial.
f(2) = (2)³ + 5(2)² + 6(2)
= 8 + 20 + 12
= 40
False.
Option (2)
(x + 2) is a factor of f(x).
If it's true, f(x) = 0 will be true for x = -2
Substitute x = -2 in the function,
f(-2) = (-2)³ + 5(-2)² + 6(-2)
= -8 + 20 - 12
= -20 + 20
= 0
True.
Option (3)
f(-2) = 0
f(-2) = (-2)³ + 5(-2)² + 6(-2)
= -8 + 20 - 12
= 0
True.
Option (4)
f(x) divided by (x - 2) has a remainder of 0.
x - 2)x³ + 5x² + 6x(x² + 7x
x³ - 2x²
7x² + 6x
7x² - 14x
20x
Here, remainder is (20x).
False.
Therefore, Options (3) and (4) are correct.
Learn more,
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Which of the following is a rational number?
Answer:
A, B, D are the answers
Step-by-step explanation:
What is another way to write: 2-(-2)
Answer:
2+2
Step-by-step explanation:
Two negatives together make a positive.
Answer:
2+2
Step-by-step explanation:
A positive minus a negative is a positive. Think of the two minus signs turning in to one plus sign.
help!1. Find the ratio:
a. 24 and 32
Answer:
75%?
Step-by-step explanation:
Not 100% on this, need better explenation.
Answer: 75%
Step-by-step explanation:
4 x + 6 < − 6...............................................................
Answer:
x < - 3
Step-by-step explanation:
Given
4x + 6 < - 6 ( subtract 6 from both sides )
4x < - 12 ( divide both sides by 4 )
x < - 3
5) 2-X = 15
Find the value of x
Answer:
x= -13
Step-by-step explanation:
-x= 13
x=-13
Answer:
13 urgupieux8ttc9y d6 og
What is -4x<8. I’m a little confused.
Answer:
x > -2
Step-by-step explanation:
explain how xy and xy are diffrent
Answer:
x is the horizontal line on the middle of a graph and the y is the vertical line on the middle of a graph
Step-by-step explanation:
Answer:
xy and xy is the same, equal and congruent.
Step-by-step explanation:
By the way you write it, it looks the same.
I need help asap well mark you brain list
Answer: a's answer is 4096 and for the last question it is 243
Step-by-step explanation:
Answer:
4096243Step-by-step explanation:
Solving exponents
a) (4^3)^2 = 4^(3*2) = 4^6 = 4096b) 3^1 * 3^4 = 3^(1+4) = 3^5 = 243what is –29 + 30 i need help please!!!
Answer:
1
Step-by-step explanation:
a negative plus a positive is equal to a negative minus a negative. -29+30=-29-(-30)
Take away negative 30 from -29 and you get 1.
If 4 is added to double the number n, the result is the same as
if n were quadrupled. What is the value of n?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Answer:
A) 2
Step-by-step explanation:
For this problem, you can create an equation.
2n+4=4n
Then, divide by 2.
n+2=2n
Finally, subtract n from both sides.
2=n
Solve for x.
4−(2x+4)=5
A. x=32
B. x=−52
C. x=−10
D. x = 6
x = - 2.5
Step-by-step explanation:Hi there !
4 - (2x + 4) = 5
4 - 2x - 4 = 5
- 2x = 5
2x = - 5
x = - 5 : 2
x = - 2.5
Good luck !
