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Reika [66]
3 years ago
11

A 35% sodium hydroxide solution is to be mixed with a 60% sodium hydroxide solution to obtain 20 liters of 40% sodium hydroxide

solution. How many liters of each solution should be used?
Mathematics
1 answer:
nydimaria [60]3 years ago
3 0
0.35x + 0.60y = 0.40(x + y)   where x = vol. of 35% and y = vol. of 60%

x + y = 20

solve this system of equations

x  +  y =  20
-0.05x +0.20y = 0

this gives x = 16 and y = 4

so you need 16 L of 35% and 4 L of 60% solution.


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The ratio of the width to the length of a flower is 10:19. How long is the flower bed if it’s width is 6 feet?
Lubov Fominskaja [6]
Just set up an equation comparing the two ratios and solve for the length, in this case x.

(10/19)=(6/x)
19/10=x/6
114/10=x

Answer= 11.4 feet for the length of the flower
6 0
4 years ago
A customer desires to mix her own concrete. The clerk knows that the ratio of cement to sand to gravel is 1:3:4. If the customer
Aleks [24]

Answer:

The quantity of cement use is 125 pounds

The quantity of sand use is 375 pounds

The quantity of gravel use is 500 pounds

Step-by-step explanation:

Given as :

The ratio of cement to sand to gravel = 1 : 3 : 4

The total quantity of dry mix required = 1000 pounds

Let The quantity of cement required = 1 × x pounds

The quantity of sand required = 3 × x pounds

The quantity of gravel required = 4 × x pounds

So, According to question

The total quantity of dry mix required = The quantity of cement required + The quantity of sand required + The quantity of gravel required

Or, x + 3 x + 4 x = 1000 pounds

Or, 8 x = 1000 pounds

∴  x = \frac{1000}{8}

I.e x = 125

So , The quantity of cement required = 1 × 125 pounds = 125 pounds

The quantity of sand required = 3 × 125 pounds = 375 pounds

The quantity of gravel required = 4 × 125 pounds = 500 pounds

Hence The quantity of cement use is 125 pounds

The quantity of sand use is 375 pounds

The quantity of gravel use is 500 pounds

Answer

8 0
3 years ago
Which of the following is the graph of the solution set of t – 4 ≥ 4t + 8 or 3t >14 – 4t?
Stells [14]

Answer:

Option (C)

Step-by-step explanation:

There are two inequalities,

t - 4 ≥ 4t + 8 ------(1)

3t > 14 - 4t ------(2)

By simplifying inequality (1),

t - 4 ≥ 4t + 8

t ≥ 4t + 8 + 4

t ≥ 4t + 12

t - 4t ≥ 12

-3t ≥ 12

t ≤ \frac{12}{(-3)}

t ≤ -4

By solving inequality (2),

3t > 14 - 4t

3t + 4t > 14

7t > 14

t > \frac{14}{7}

t > 2

From the given graphs, Option (C) will be the answer.

4 0
3 years ago
Write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).
Marina86 [1]

Answer:

x=-3

Step-by-step explanation:

'x = -3', when graphed, passes through the point (-3,7) and (-3,0).

Since the line passes (-3,0), the x-intercept is -3.

(-3, 7) lies on the equation.

I have attached a picture of the graphed equation.

'x = -3' should be the correct answer.

3 0
3 years ago
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I need help please and thank you
Katarina [22]

Answer:

F- the first answer choice

Step-by-step explanation:

7 0
3 years ago
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