A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answer:
5% solution needed = 5.7 liters
40% solution needed = 4.3 liters
Step-by-step explanation:
Let the amount of 5% solution is needed = x liters
And the amount of 40% solution is needed = y liters
Concentration of the final solution = 20%
5x + 40y = 20(x + y)
x + 8y = 4(x + y)
4y = 3x
x = [tex]\frac{4}{3}y[/tex] -------(1)
Total volume of the final solution needed = 10 liters
Therefore, x + y = 10 --------(2)
Now substitute the value of x from equation (1) to equation (2).
[tex]\frac{4}{3}y+y=10[/tex]
[tex]\frac{7}{3}y=10[/tex]
y = 4.3 liters
From equation (2),
x + 4.3 = 10
x = 5.7 liters
Math
Jim baked 24 cupcakes for the upcoming bake sale. He also bought drinks.
Which sets below are factor pairs of 24?
A (3,6)
B (4.6)
C (6,8)
D (1, 24)
E (38)
Click Submit below if you want to finish the test and see the results
Save and Exit
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28
3x-5=x+1
Helpppppppppppp
Answer:
your answer is x= 3
Hope this helps!
If h(x) = -4x - 10, find h(-5).
0-30
01.25
O 10
0-1
Answer:
h(-5) = 10
Step-by-step explanation:
h(x) = -4x - 10
Let x = -5
h(-5) = -4*-5 - 10
= 20 -10
= 10
determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?
Answer:
$60
Step-by-step explanation:
You have to divide 180 by 3 to get the cost per hour :)
Van bought a 16-pound bag of dog food. His dog ate of the food. How many pounds of dog food did the dog eat?dogs with dog food it's a doggy
Answer:
The answer is 13 pound of dog food
Step-by-step explanation:
Here is your explanation 16 is a even
number and you can put it in 13 because
13+ 13 =16
need help!!!!
6(x+3)=2x-64
6 + 1 8 = 2 - 6 4
Distribute.
Answer:
x= -20.5
Step-by-step explanation:
6x + 18 = 2x -64
-18 from both sides
6x = 2x - 82
-2x from both sides
4x = -82
divide by 4 on both sides
x= -20.5
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
Determine whether the pair of lines is parallel, perpendicular, or neither.
x - 4y = -9
y = 6x - 7
2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descends 6 ½ feet. B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees.B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees. C. A carbon atom has 6 negatively charged electrons and 6 positively charged protons. D. A person has a bank balance of negative $325.50 and makes a withdrawal of $325.50. E. B and C only
Answer: B and C only
Step-by-step explanation:
The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees
Initial temperature = 0
Temperature rise = 4
Fall in temperature = - 4
(Initial temperature + rise in temperature + fall in temperature)
Summing all : (0 + 4 - 4) = 0
carbon atom has 6 negatively charged electrons and 6 positively charged protons.
Net charge of atom :
(number of proton + number of electrons)
( 6 + (-6)) = 0
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
Sidewalk = 100ft by 4ft
Brick = 8 inches by 4 inches
Required
Determine the minimum number of bricks
First, we need to determine the area of both;
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Number of bricks is calculated as follows;
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert ft^2 to in^2
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
17+7j=87
What does j equal???????
Answer:
j=10
Step-by-step explanation:
17+7j=87
7j=70
j=10
What is the value of x
Answer: 2x= 40 so 2x20=40
Step-by-step explanation:every triangle has to add up to 180 digrees
65+75+40=180
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation:
Which statement is true for the values of P and Q on this number line? P Q + + + + -2 -1 0 1 -6 -5 -4 لی A) ?>4 (B) PxQ< 5 CP+Q>-4 D P-Q > 0
Answer: B
Step-by-step explanation:
1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *
Answer:
$105.22
Step-by-step explanation:
Rewrite by completing the square 2x^2+7x+6=0
Answer:
[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
ALGEBRA 2 PLS HELP ME use square root to answer btw
Answer:
factor x+7 (so (x+7)(x+7)) and then solve like a normal equation
A triangle on the coordinate plane has points located at a (2,5), b (5,9), and c (8,5). What is the area of the triangle. 
Answer:
The area of the triangle is 12 unit²
Step-by-step explanation:
The vertices of the triangle are;
a(2, 5), b(5, 9), and c(8, 5)
The area of a triangle given coordinates can be given by the following determinant;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]
Therefore, we have;
[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]
Utilizing an online determinant calculator, we have;
[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]
Therefore, the area of the triangle is 12 unit².
PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:
Answer:
a. 3x-12= -18 b. x=-2
Step-by-step explanation:
if Sam has 200$ and gives her mom 20$ to go get her some clothing. her mom comes back and gives Sam 9$. how much did her mom spend?
Answer:
her mom spent 11 dollars
Step-by-step explanation:
20-9 is 11
Answer:
Her mom spent $11
Step-by-step explanation:
$20-9= $11
Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
the coupon? create an equation and solve
Answer:
$64
Step-by-step explanation:
Since there were 4 of them and the coupons were $10 off, they saved a total of $40
To find how much they would have spent without the coupons, add 40 to 216:
216 + 40
= 256
To find the normal cost of one ticket, divide this by 4:
256/4
= 64
So, the price of one concert ticket without the coupon is $64
Which number is the additive inverse of -5?
O -1/5
O 0
O 1/5
O 5
Answer:
5
Step-by-step explanation:
It's the opposite of the sign. So you just add a negative if positive and a positive if negative.
Ex.
-20 = 20
14 = -14
i need with help again (-70)-(-7)
If I invest 100$ into a savings account at a 3% interest can I afford my item in 10 years my item is 999.99
Answer:
Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.
Step-by-step explanation:
Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?
Answer:
Her mean quiz score is 92.25%.
Answer:
92.25
Step-by-step explanation:
Mean is the same as average. Add all the scores together and then decide by the number of scores.
(92+94+100+83)÷4
369÷4=92.25
can someone help please
Answer:
Tissue
Step-by-step explanation:
Forgive me if I'm wrong but I'm 90 percent sure I'm not.
Happy almost Halloween!!
8p+5=-6p+1 what's the answer to this equation?
Answer:
-2/7
Step-by-step explanation:
Emma biked 15 miles. One mile is approximately equal to 0.6 kilometers. What is the number of kilometers Emma biked?
Answer:
About 9 kilometers
Step-by-step explanation:
15x.6= 9
Answer: x = 9
Step-by-step explanation:
I’ll use x as the number of kilometers Emma bikes
1/0.6 = 15/x - set up proportion
1x = 9 cross products
x = 9 - divide both sides by 1 and you get 9
Please help me out with this! *It's just an extra practice assignment :)
Answer:
t and r are parallels
t and p are perpendicular
Step-by-step explanation:
r and t have the same coordinates 4,1 but one has a negative 4 and 1
t and p have a dot on the same spot