Suppose a lab need to need to make 400 liters of 39% acid solution, but the only solutions available to the lab are 20% acid and 50% acid. What system of equation can be used to find the number of liters of each solution the should be mixed to make the 39% solution? Let c represent the number of liters of 20% acid solution and let d represent the number of liters of 50% acid solution.

Answers

Answer 1

Answer:

c + d = 400

0.2c + 0.5d = 156

Step-by-step explanation:

Let

c = number of liters of 20% acid solution

d = number of liters of 50% acid solution.

c + d = 400 (1)

0.2c + 0.5d = 400(0.39)

0.2c + 0.5d = 156 (2)

From (1)

c = 400 - d

Substitute c = 400 - d into (2)

0.2c + 0.5d = 156 (2)

0.2(400 - d) + 0.5d = 156

80 - 0.2d + 0.5d = 156

- 0.2d + 0.5d = 156 - 80

0.3d = 76

d = 76/0.3

d = 253.33 liters

Substitute d = 253.33 into (1)

c + d = 400

c + 253.33 = 400

c = 400 - 253.33

c = 146.67 liters


Related Questions

Need this one quick as well, sorry.​

Answers

pretty sure if both x's are equal then they are both 104°

The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.

Answers

Answer:

The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.

Step-by-step explanation:

The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:

[tex]V = V_{cy}-V_{pr }[/tex] (1)

[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]

[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)

Where:

[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.

[tex]l[/tex] - Side of the square prism, measured in centimeters.

[tex]h[/tex] - Height of the square prism, measured in centimeters.

If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:

[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]

[tex]V \approx 16.690\,cm^{3}[/tex]

The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.

PLS help me

this is for class, if you get it right i will give brainliest

Answers

Answer:

Yes

Step-by-step explanation:

a^2+b^2=c^2

7^2+11^2=c^2

49+121=c^2

170=c^2

then square it

c=13

7,11,13 is a pythagorean triple

Answer:

both answers you have put in are correct

Step-by-step explanation:

7^2=49

11^2=121

121+49=170

square root of 170 is the long side

not a pythagorean triple because square root of 170 does not come out as a whole number (no decimal/fraction)

is it ~13.0384

It says round all calculations to one decimal point
Pls show workings it due in a hour

Answers

Answer:

[tex]2\sqrt{5}+\sqrt{29}+\sqrt{53},\\\approx 17.14\:\mathrm{units}[/tex]

Step-by-step explanation:

The distance between two coordinates is given by:

[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}[/tex], or [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

The distance between each of the coordinates of the triangle forms the sides of triangle. Therefore, we can add the distance between these coordinates to find the perimeter of the triangle.

The distance between [tex](3, -2)[/tex] and [tex](7, 0)[/tex] is:

[tex]d=\sqrt{(7-3)^2+(0-(-2))^2}=\sqrt{4^2+2^2}=\sqrt{20}=2\sqrt{5}[/tex]

The distance between [tex](3, -2)[/tex] and [tex](5, 5)[/tex] is:

[tex]d=\sqrt{(5-3)^2+(5-(-2))^2}=\sqrt{2^2+7^2}=\sqrt{53}}[/tex]

[tex]d=\sqrt{(7-5)^2+(0-5)^2}=\sqrt{2^2+5^2}=\sqrt{29}[/tex].

Therefore, the total perimeter of the triangle is:

[tex]\fbox{$2\sqrt{5}+\sqrt{29}+\sqrt{53}\:\checkmark$}[/tex].

Solve the Equation: 2(6b + 1) = 4(b-5)-2 halp me pls, thank you​

Answers

Answer:

B= -3

Step-by-step explanation:

So first distribute what you can

12b+2=4b-20-2

Now combine like terms

12b+2=4b-22

Now subtract 2 on both sides

12b=4b-24

Now subtract 4b on both sides

8b=-24

Now divide 8 on both sides

b= -3

i dont know plz help

Answers

Your pictures aren’t loading so I can’t see it

Given h(x) = 32
3x – 3, find h(3).

Answers

Answer:

(3×3) - 3 = 6

.

.

.

i didnt get that...wt's that 32?

13 more than a number Y is -7.

Answers

Answer:

m

Step-by-step explanation:

j

Answer:

-20

Step-by-step explanation

To make the sentence into an equation it would be y+13=(-17). To solve this you would need to get y by itself. To do this, you would make the equation y+13-13 , since you need to do the same thing from both sides, it would be y+13-13=(-17)-13 . Simplify the equation to make y=(-7)-13 . Counting back 13 from -7 gets you to -20 . Finally you get to  y=(-20) , so the answer is -20

A citrus grower purchased 25 orange trees and 20 grapefruit trees for $290. The next week, at the same prices, the grower bought 20 orange trees and 30 grapefruit trees for $330. Find the cost of an orange tee and the cost of a grapefruit tree.

Answers

Answer:

The cost of an orange tree is $ 6 while that of a grapefruit tree is $

Step-by-step explanation:

Let x be the cost of an orange tree and y be the cost of a grapefruit tree. In the first week, the citrus grower purchased 25 orange trees and 20 grapefruit trees for $290, so 25x + 20y = 290 (1).

In the next week, the grower bought 20 orange trees and 30 grapefruit trees for $330. So, 20x + 30y = 330 (2)

From (2) y = (330 - 20x)/30 = (33 - 2x)/3

substituting y into (1), we have

25x + 20[(33 - 2x)/3] = 290

multiplying through by 3, we have

75x + 20(33 - 2x) = 870

expanding the bracket, we have

75x + 660 - 40x = 870

collecting like terms, we have

75x - 40x = 870 - 660

35x = 210

dividing both sides by 35, we have

x = 210/35

x = 6

substituting x = 6 into y, we have

y = (33 - 2x)/3

= (33 - 2(6))/3

= (33 - 12)/3

= 21/3

= 7

So the cost of an orange tree is $ 6 while that of a grapefruit tree is $ 7.


Mr. Mancillas want to purchase new reading books for his 21 students.
• Each math book cost $57.35
He paid $13.99 for delivery
What is the total amount Mr. Mancillas paid?
CARTAN
tense
А
$1,194.75
B
$1,204.35
C
$984.99
D
$1,218.34

Answers

Answer:

leter d.

Step-by-step explanation:

cause i solved it

Answer:

Step-by-step explanation: it is B because 21 X $57.35/3.99=1,204.35

The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics. A 4-column table with 3 rows titled time spent by children. The first column has no label with entries at least 1 hour per day outside, less than 1 hour per day outside, total. The second column is labeled at least 1 hour per day using electronics with entries 2, 42, 44. The third column is labeled less than 1 hour per day using electronics with entries 14, 6, 20. The fourth column is labeled total with entries 16, 48, 64. Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics? 0.22 0.25 0.70 0.88

Answers

Answer:

D 0.88

Step-by-step explanation:

The probability that a child spends less than 1 hour per day on electronics is 0.88.

What is probability?

This is a term that has to do with the likelihood or the chances of something occurring.

The total of spending a day outside = 16

The total of spending less than 1 hour on electronics is 14

The probability would be = 14/16

= 0.875 * 100

= 88% or 0.88

Read more on probability here: https://brainly.com/question/14736149

#SPJ2

If f ( x ) = 2x - 3 and g ( x ) = x 2,

find g ( f ( x ) )
Select one:
a. 4x 2 - 9
b. 4x 2 - 12x + 9
c. 2x 2 - 3

Answers

Answer:

[tex]g(f(x)) = g(2x - 3) = {(2x - 3)}^{2} \\ =\boxed{4 {x}^{2} - 12x + 9}[/tex]

b. is the right answer

Need help with this math question pls help me.

Answers

Answer:

its D

Step-by-step explanation:

You can tell because your trying to find the one that's steeper but you can see that D is pointed a little bit more down than the others

Answer:

It is D because it is the steepest

Step-by-step explanation:

Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after 30 seconds?​

Answers

Answer:

78.75 ?

Step-by-step explanation:

calculator..

The volume of water remain in the tank after 30 seconds is 78.75 liters.

The given parameters;

initial volume of water in Tank B, V₀ = 80 litersrate at which water is being drained, R = 2.5 liters per minute.time of water drain, t = 30 seconds

The amount of water drained after 30 seconds is calculated as follows;

[tex]V_1 =2.5 \ \frac{liters}{\min} \times \frac{1 \min}{60 \ s} \times 30 \ s\\\\V_1 = 1.25 \ liters[/tex]

The volume of water remain in the tank after 30 seconds is calculated as follows;

V₂ = V₀ - V₁

V₂ = 80 liters - 1.25 liters

V₂ = 78.75 liters

Thus, the volume of water remain in the tank after 30 seconds is 78.75 liters.

Learn more here: https://brainly.com/question/13559135

Which expression is equivalent to 45a+23b+18−76b−34−25a?
65a−12b−58
65a+116b+78
25a−12b−58
25a+116b+78

Answers

45a + 23b + 18 - 76b - 34 - 25a
= (Now, we will combine and group the like terms.)
= 45a - 25a + 23b - 76b + 18 - 34
= 20a - 53b - 16.
So, in conclusion, the answer to this question is 20a - 53b - 16 however, none of these answered provided are correct.

25% of a number is 8.
What is the original number?

Answers

Answer:

B. 32

Step-by-step explanation:

25% is 1/4 of 100%, so you multiply 8 by 4.

what is the degree of the polynomial -x^4+10x^3+x-7

Answers

Answer:

7

Step-by-step explanation:

You can find the degree of a polynomial by adding all of the exponents on a specific variable.

is (-2+x)-(3x-8) equivalent to -2x+4

Answers

Answer:

No solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

Brainly pls?

Answer:

No, it's not equivalent to it.

Step-by-step explanation:

[tex]( - 2 + x) - (3x - 8) = - 2 + x - 3x + 8 \\ = 6 - 2x = - 2x + 6[/tex]

You spent $60 in supplies to sell shirts. You sell your shirts for $10
each. How many do you have to sell to make a profit?

Answers

Answer: Atleast 7

Step-by-step explanation:

In order to make a profit you have to amke more money than what you spent for supplies. So if each shirt is 10$ then you would have to sell atleast 7 shirts since if you do you will have made 70$, therefore a 10$ profit. If you sell 6 shirts, you make 60$, meaning you gain all your money back, but you do not make a profit.

the answer is 7

Step-by-step explanation:

7×10=70-60=10

Solve forx: -6 < x - 1 < 9

Answers

Answer:

-5< X <10

Step-by-step explanation:

-6+1 < x < 9+1

-5 < x < 10

Answer:

- 5 < x < 10

Step-by-step explanation:

Given

- 6 < x - 1 < 9 ( add 1 to all 3 intervals )

- 5 < x < 10

Simplify -3x^2-5x^2(4x^3-x^2)2

Answers

Let's simplify step-by-step.

−3x2−5x2(4x3−x2)(2)

Distribute:

=−3x2+−40x5+10x4

Answer:

=−40x5+10x4−3x2

Which decimal is equivalent to -31/8

Answers

Answer:

-3.875

Step-by-step explanation:

Answer:

-3.875

Step-by-step explanation:

My answer is rounded to the nearest thousandths by the way! Hope I helped.

6 - 3w = -27
I need help on this I don’t get it

Answers

W=11
this picture below explains it

Dividing by 3 is the inverse of multipiying by 3.

Answers

Yes that is indeed correct

Ben rides the train to work he spends $2.75 per ride his monthly budget for riding the train is 80$ write an equation that shows the number of times N Ben can ride the train each month

Answers

Answer: 2.75N = 80

Step-by-step explanation:

Let the the number of times that Ben can ride the train each month be represented by N.

Since Ben rides the train to work he spends $2.75 per ride and his monthly budget for riding the train is $80, this will be represented in an equation as:

2.75N = 80

N = 80/2.75

N = 29 times

Amy wants to buy a new set of paints. At store A, the cost is $22.00, and she has a coupon for 20% off. At store B, the cost is $22.50, and she has a coupon for $5 off. Which store has the better buy, and why?

Answers

Answer:

Store B

Step-by-step explanation:

Store A

20% is just 1/5 in percent form

22.00= 22*1/5 = 22/5 = 4.40

22.00-4.40=17.6

Store B

22.50-5=17.5

Now you can see that 17.5 is less than 17.6 by 0.1

How many dots would be in Figure 17?

Answers

Answer:

306

Step-by-step explanation:

While dining at yet another 5 star restaurant, which is my normal, I received the bill for $95.11 which by the way included an automatic 15% p. Because my generosity is my weakness, I wanted to leave a 20% p, instead. How much should I add to the bill to make this happen?

Answers

Answer:

$16.54

Step-by-step explanation:

First step we need to do is to find the bill without the 15% tips:

95.11 = 1.15x

x = $82.70 is the original bill

Now we can add the 20% tips and multiply it into the original:

82.70 x 1.2 = $99.24 is the new bill

To find out how much you tipped:

99.24 - 82.7 = $16.54 is your new tip

Find the product.
(-7)(5) =

Answers

Answer:

-35

Step-by-step explanation:

Answer:

-35

Step-by-step explanation:

A negative times a positive is a negative number:

-7*5=-35

Can someone please help me get this answer correct?

Answers

Answer:

I'm pretty sure that would be a rectangle

Step-by-step explanation:

I just graphed it

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