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2 years ago

What is the value of x in the linear equation below? 4+3x-ax=9-7x+bx

Mathematics

1 answer:

Furkat [3]2 years ago

7 0

Answer:

x = 5/(10 - a - b)

Step-by-step explanation:

Solve for x:

4 + 3 x - a x = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = x (b - 7) + 9

Subtract (b - 7) x + 4 from both sides:

x (10 - a - b) = 5

Divide both sides by 10 - a - b:

Answer: x = 5/(10 - a - b)

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2 years ago

A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration

algol [13]

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

$(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}$

$(0.02a)+(0.05b)= 0.8$

Multiplying the above equation by 100, we get

$2a+5b=80$ (Equation 2)

Substituting the value of a=25-b in equation 2, we get

$2(25-b)+5b=80$

$50-2b+5b=80$

$50+3b=80$

$3b=30$

$b=10$

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

7 0

3 years ago

find the value of 10 times the square root of 2 over the square root of 5.. a. 2 b. 2 times the square root of 5. c. 2 the squar

Marizza181 [45]

$\dfrac{10\sqrt2}{\sqrt5}=\dfrac{10\sqrt2\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\dfrac{10\sqrt{2\cdot5}}{5}=\boxed{2\sqrt{10}}\to\fbox{c.}$

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2 years ago

15 cm<br> 7 cm<br> 10 cm<br> what is the area of that?

Tamiku [17]

Answer:

105cm Squared

Step-by-step explanation:

I did the math. No explenation needed.

6 0

3 years ago

Han drinks three gallons of iced tea each day. Each gallon of iced tea contains ¾ cups of sugar. How much sugar does Han drink w

erica [24]

Answer:

3 cups of sugar.

Step-by-step explanation:

Han drinks 3/4 of a cup of sugar each day when she drinks iced tea. She drinks 3 gallons, and each contains 3/4. If each contains only 3/4, we will have to multiply 3/4 by 3 gallons to find our answer to this question.

$\frac{3}{4} = 1 \text{-gallon}$

So, now we will have to multiply 3/4 by the number 3.

$\frac{3}{4}$ × $3$ = $\frac{12}{4}$

12/4 is equal to 3, so the answer is 3.

7 0

2 years ago