1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kenny6666 [7]
3 years ago
14

How many pounds of a 4% solution of borax must be added to 24 pounds of a

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

8 pounds of 4% solution of borax

Step-by-step explanation:

Let x  be the 4% solution

24 pounds of 12% solution  

obtain a 10% solution of borax that is (x+24) pounds

4% is 0.04  and 12% is 0.12  , 10% is 0.1

0.04x+24(.12)=0.1(x+24)

solve the equation for x

0.04x+24(.12)=0.1(x+24)\\0.04x+2.88= 0.1x+2.4\\2.88= 0.06x+2.4\\0.48=0.06x\\x=8

so 8 pounds of 4% solution of borax

You might be interested in
Which is the correct graph for *<br> y&gt; 2х – 4<br> А)<br> ОА<br> Ос
user100 [1]

Answer:

your answer would be OA

Step-by-step explanation:

8 0
3 years ago
Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa
Artyom0805 [142]

Answer:

The height of the right trapezoid is   \frac{6}{5+\sqrt{3}}\ units

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

P=AB+BC+CD+DH+HA

we have

P=6\ units

AB=BC=CH=HA=x ---> because is a square

substitute

6=x+x+CD+DH+x

6=3x+CD+DH -----> equation A

<em>In the right triangle CDH</em>

sin(30\°)=\frac{CH}{CD}

sin(30\°)=\frac{1}{2}

so

Remember  that CH=x

\frac{1}{2}=\frac{x}{CD}

CD=2x

tan(30\°)=\frac{CH}{DH}

tan(30\°)=\frac{\sqrt{3}}{3}

so

\frac{\sqrt{3}}{3}=\frac{x}{DH}

DH=x\sqrt{3}

substitute the values in the equation A

6=3x+CD+DH -----> equation A

CD=2x

DH=x\sqrt{3}

6=3x+2x+x\sqrt{3}

6=5x+x\sqrt{3}

6=x[5+\sqrt{3}]

x=\frac{6}{5+\sqrt{3}}\ units

5 0
3 years ago
Find the derivatives of f(X)=25​
Dominik [7]

Answer:

The derivative of any constant number is 0.

So,

Differentiating with respect to "x",

d f(x)/dx

=d 25/dx

=0

7 0
2 years ago
Simplify: 12 + 2 x 3 + ( 43 - 12)<br> 68<br> 54<br> 70<br> 18
Stolb23 [73]
I got 49 hope that will help.
4 0
3 years ago
Y= - x^2 + 4x + 6 in vertex form
serg [7]
<h3><u>HI </u><u>THERE!</u></h3>

<u>\rm \color{lime}(2,10)</u>

<u>step-by-step</u><u> </u><u>explanation:</u>

<u>\rm \color{lime}y =  -  {x}^{2}  + 4x + 6</u>

  • <u>identify</u><u> </u><u>the coefficients</u>
<h2 /><h2><u>\rm \color{lime}a =  - 1,b = 4</u></h2>
  • <u>substitute</u><u> the </u><u>co</u><u>efficient into the </u><u>expression</u>
  • <u>find the x</u><u>-</u><u>coordinate of the vertex by </u><u>substituting </u><u>a </u><u>=</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>and </u><u>b=</u><u>4</u><u> </u>
  • <u>\tt \tiny \: x =  -  \frac{b}{29}</u>

<u>\rm \color{lime}x =  -  \frac{4}{2x( - 1)}</u>

  • <u>solve the </u><u>equation </u><u>for </u><u>X</u>
  • <u>find the y</u><u>-</u><u>coordinate of the vertex by evaluating the function for x = </u><u>2</u>

<u>\rm \color{lime}y =  -  {x}^{2}  + 4x + 6,x = 2</u>

  • <u>calculate</u><u> </u><u>the </u><u>function value for x = 2</u>

<u>\rm \color{lime}y = 10</u>

  • <u>since the value of the function is 10 for x = 2 the vertex of the graph of the quadratic </u><u>function</u><u> </u><u>is a </u><u>(</u><u>2</u><u>,</u><u>1</u><u>0</u><u>)</u>

<u>=  \rm \color{hotpink} (2,10)</u>

<u>hope </u><u>it</u><u> helps</u>

4 0
2 years ago
Read 2 more answers
Other questions:
  • Whats the area of x=9 ft, x=22ft, and z=109*
    12·1 answer
  • 1000 mL of D5W is ordered to be infused over 5 hours. The drop factor is 10 gtt/mL. How many gtt/min should be given to infuse t
    8·1 answer
  • A student solved this problem and said the answer was 5 miles.
    9·2 answers
  • A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are halved.
    11·1 answer
  • C. If a trapezoid is<br> rotated upside down,<br> would the two bases still<br> be parallel?
    15·1 answer
  • For a scavenger hunt, Jim's mom distributed a bag of 875 jelly beans evenly into 25 plastic containers and hid them around the
    6·1 answer
  • Which ordered pair makes both inequalities true?<br> y&gt;-2x + 3<br> y
    6·1 answer
  • A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon
    9·1 answer
  • Q 4. A truck is carrying pineapple juice, cherry juice, and mango juice bottles in a ratio of 9 : 1 : 2. If there are 19 cherry
    14·1 answer
  • Windborn company has 20,000 shares of cumulative preferred 2% stock, $150 par and 50,000 shares of $25 par common stock. the fol
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!