You are working as a clinical chemist in charge of the testing of blood samples. You are required to mix a solution of sodium chloride with water in the ratio of 2:5. Starting with 780ml of the sodium chloride solution, how much water needs to be added? Give your answer in standard form to an appropriate number of significant figures.

Answers

Answer 1

Answer: 1,950 ml of water should be added to 780 ml of sodium chloride to maintain the ratio of 2:5

Given:
Ratio of sodium chloride to water 2:5
sodium chloride = 780 ml
water = ?

proportionality a:b = c:d where ad = bc

a = 2 ; b = 5 ; c = 780 ml ; d = x

2:5 = 780:x
2x = 780*5
2x = 3900
x = 3900/2
x = 1950 ml of water.

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What type of fractions are the following A) 1/3 A) Improper B) mixed C)whole

B) 5 1/6

C) 6/5

answer A B C with the three multiple choice answers.

Answers

a) whole

b) mixed

c) improper

Am solving this problem correct

Answers

a) The degree of the first term is... 1
$first \ term = 3t$
The degree of the second term is... 2
$second \ term = t^2$
The degree of the third term is... 4
$third \ term = t^4$

b) The leading term of the polynomial is... 7t⁴
The leading coefficient of the polynomial is... 7

c) The degree of the polynomial is... 4

a) 1, 2, 4
b) $7t^4,7$
c) 4

An action movie earned $89,200,000. An animated movie earned $92,400,000. Round each money amount to the nearest hundred million. About how much money did the two movies earn altogether?A. $100,000,000

B. $140,000,000

C. $141,000,000

D. $200,000,000

Answers

So just add them first okay?892 ignore those 0's because they'll make it more complicated, so 892+924 is?1,816. Then add the 0's you get? 181,600,000. Round to the nearest hundred million?That is the ninth number, which is the 1 before 8. So then 8 is greater than five, so answer is 200,000,000 D.

The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in standard form. f(x) = 3x2 + 18x Factor a out of the first two terms. f(x) = 3(x2 + 6x) Form a perfect square trinomial. f(x) = 3(x2 + 6x + 9) – 3(9) Write the trinomial as a binomial squared. f(x) = 3(x + ______)2 – 27

Answers

To find the vertex form of parabola $y=a(x-x_0)^2+y_0$ given in almost standard form $y=ax^2+bx+c,$ were written following steps:

1. Write the function in standard form:

$y=3x^2+18x.$

2. Factor a out of the first two terms:

$y=3(x^2+6x).$

3. Form a perfect square trinomial:

$y=3(x^2+6x+9-9)=3(x^2+6x+9)-3\cdot 9.$

4. Write the trinomial as a binomial squared:

$y=3(x+3)^2-27.$

The vertex is (-3,-27).

Answer: missing value is 3

The function in vertex form is y = 3( x+3)² -9

What is a Function ?

A function is a mathematical statement formed for relating a dependent and in independent variable.

It is given that

f(x) = 18x +3x²

To write it into vertex form

The standard vertex form is given by

y =a(x- h)² +k

y = 18x +3x²

y = 3(x² +6x)

y = 3 (x² + 2.3 x + 9) -9

y = 3( x+3)² -9

Therefore in vertex form the function is y = 3( x+3)² -9

To know more about Function

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Use an algebraic equation to solve the problem. The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm? A. 10.5 cm, 11.5 cm, and 12.5 cm

B. 22.5 cm, 30 cm, and 37.5 cm

C. 7.5 cm, 11.5 cm, and 32.1 cm

D. 19.3 cm, 25.7 cm, and 32.1 cm

Answers

Answer:

The answer is the option B

$22.5\ cm, 30\ cm, 37.5\ cm$

Step-by-step explanation:

Let

a,b,and c the length sides of the triangle

we know that

$a+b+c=90$ ------> equation A

$(a)/(b)= (3)/(4)$

$a=(3)/(4)b$ -----> equation B

$(b)/(c)= (4)/(5)$

$c=(5)/(4)b$ -----> equation C

Substitute the equation B and equation C in the equation A

$(3)/(4)b+b+(5)/(4)b=90$

solve for b

$3b=90$

$b=30\ cm$

Substitute the value of b in the equation B

$a=(3)/(4)(30)=22.5\ cm$

Substitute the value of b in the equation C

$c=(5)/(4)(30)=37.5\ cm$

Ratio units = 3+4+5 = 12

perimeter = 90 (a+b+c)

1 unit value, 90/12 = 7.5

So, lengths will be 3(7.5), 4(7.5), 5(7.5)

OPTION B IS YOUR ANSWER

12 Months (upfront) was $77312 month (monthly debit) $66

For a 12-month Gym and swim membership how much more does it cost to pay by monthly debit rather than upfront?

Answers

Your answer is 792-773=19.

Hope this helps.

Cheaper too pay upfront! :)

66 * 12 = 792

792-773=19 Although this isn't a huge difference it's still money being wasted! :)

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