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klasskru [66]
3 years ago
5

Ming wants to make a 40% sugar solution. She had already poured 3 L of a 80% sugar solution into a beaker. How many L of a 10% s

ugar solution must she add to this to create the desired mixture
Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

Ming must add 0.375 L of a 10% sugar solution

Step-by-step explanation:

if 3 L = 80%

1.5 L should = 40% (since it is half of 80%)

and if 40 divided by 4 = 10%

1.5 also needs to be divided by 4

so 1.5 divided by 4 = 0.375

that means Ming must add 0.375 L of a 10% sugar solution

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Hi, I need help with equations :D
lana [24]
3(3) - (-8)/4 = 9 + 2 = 11 so (3,-8) is solution

3(4) - 4/4 = 12 - 1 = 11 so (4,4) is solution

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8 0
3 years ago
The table shows a company’s profit based on the number of pounds of food produced.
Bingel [31]

Answer:

$5,300

Step-by-step explanation:

Formulae used,

a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}

Where,

\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}

\sum xy=\sum xy-\dfrac{\sum x\sum y}{n}

\sum xx^2=\sum x^3-\dfrac{\sum x\sum x^2}{n}

\sum x^2y=\sum x^2y-\dfrac{\sum x^2\sum y}{n}

\sum x^2x^2=\sum x^4-\dfrac{(\sum x^2)^2}{n}

Putting the values from the table, we get the best fit line as,

y= -0.0817x^2 + 102.24x - 20421

As we want to calculate the profit at 350 pounds, so putting x=350, we get

y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75


5 0
3 years ago
Read 2 more answers
Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of
vivado [14]
So Volume of cylinder is pi*r^2*h = 1,000 

Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h 

So now you have 2 equations, so: 

h = 1,000/(pi*r^2) 
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r 

Derivative of SA is then 2pi*r -2,000/r^2. Set to 0 

2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3) 

Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h 
<span>h = 10 / pi^(1/3)</span>
3 0
3 years ago
Identify the surface area of the composite figure. HELP ME PLEASE!!!
ryzh [129]

Answer:

<h2>          512 m²</h2>

Step-by-step explanation:

The surface area is a sum of areas of four triangles with base of <em>8 m</em> and hight of <em>12 m</em> and areas of five squares with sides of <em>8 m.</em>

<em />

<h3>Sa = 4×¹/₂×8×12 + 5×8² = 192 + 320 = 512 m²</h3>
6 0
3 years ago
Subtract (8x – 2) – (5х – 7)
professor190 [17]

Answer: 3x - 9

Step-by-step-explanation: To solve the expression (8x – 2) – (5х – 7) we will be using properties of operations. First, use the commutative and associative properties to move the values next to each other to combine like terms.

(8x – 2) – (5х – 7)

(8x-5x)+(-2-7)

3x-9

So, the subtracted answer is 3x - 9

7 0
3 years ago
Read 2 more answers
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