There were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated 470 milliliters each.
How many milliliters of blood did the volunteers donate?


WRITE ANSWER AS AN EXPRESSION

Answers

Answer 1

Answer:

The volunteers donated  [tex](15040-470n)[/tex] milliliters of blood.

Step-by-step explanation:

Total number of volunteers was 32 and the number of volunteers couldn't donate blood was [tex]n[/tex].

So, the number of remaining volunteers who donated blood will be: [tex](32-n)[/tex]

Each of these volunteers donated 470 milliliters blood.

So, the total amount of blood donated [tex]= 470(32-n) = (15040-470n)[/tex] milliliters.

Answer 2

Answer:

Answer: The answer to this problem would be (32-n)*470!

Step-by-step explanation:

Since there were 32 volunteers the beginning and some of them couldn't donate you would subtract (the variable you would use is 'n'). As you may know, each means that you multiply so if each volunteer is giving 470 mm of blood each you would multiply that by how many volunteers are remaining which is unknown.

Your final answer would be: (32-n)*470

Hope this helps and gets Brainiest Answer!!!

Step-by-step explanation:


Related Questions

Find the missing term.
The roots of x² − ( ) + 34 are 5 ± 3i.

Answers

[tex]x^2-?+34=(x-(5+3i))(x-(5-3i))\\\\x^2-?+34=(x-5-3i)(x-5+3i)\\\\x^2-?+34=(x-5)^2+9\\\\x^2-?+34=x^2-10x+25+9\\\\x^2-?+34=x^2-10x+34\\\\\boxed{?=-10x}[/tex]

Answer:

Actually is 10x

Step-by-step explanation:

-10x gives you -5±3i

Darian is multiplying 3/4 by 1/2

Answers

3/8 is the right answer to that question



The answer to 3/4*1/2 is

0.375

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 3x-y=3 y=2x+2

Answers

We have been given that

3x - y = 3 and

y = 2x + 2

Substitute y = 2x + 2 in the first equation, we get,

3x - (2x + 2) = 3

3x - 2x - 2 = 3

x - 2 = 3

x = 5

y = 2x + 2

= 2(5) + 2

= 12

Hence, the solution is (5, 12).

Answer:

B. (5,12)

Step-by-step explanation:

APEX

Solve 24 - 3 x = -27

Answers

24-3x=-27
-3x=-27-24(24 in right side will-24)
-3x=-51
(- on both side will cut and become + as - -=+)
3x=51
x=51/3
x=17
Thanks

Answer,

X = 17

Explanation,

Step 1: Simplify both sides of the equation

24 − 3x = −27

24 + −3x = −27

−3x + 24 = −27

Step 2: Subtract 24 from both sides.

−3x + 24 − 24 = −27 − 24

−3x = −51

Step 3: Divide both sides by -3.

-3x/-3 = -51/-3

X = 17


Hope this helps :-)

Find the value of a if x=3 is a solution to the equation x/a=7

Answers

if x=3
3/a=7
a(3/a)=a(7)
3=7a or 7a=3
(7a)/7=3/7
a=3/7

Which proportion correctly shows the equivalence of two ratios?

A. 2:3=27:18
B. 14:35=7:2
C. 4:5=32:40
D. 13:39=6:2

Answers

C. 4:5=32:40 is your answer

Treat each ratio like fractions. Note the equal sign. This means that, when each fraction is simplified, they would be the same.

4/5 = 4/5

(32/40)/(8/8) = 4/5

4/5 = 4/5

(C) is your answer

~Rise Above the Ordinary, Senpai


The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesser number. Find the two numbers.

Answers

The value of the larger number, x, is equal to 57.The value of the smaller number, y, is equal to 42.

x - y = 15

2x + 8 = 3y - 4

Using the first equation, we can get an approximate value for x.

x = 15 + y

Now that we have a value for x, we can replace it in the second equation to find the value of y.

2(15 + y) +  8 = 3y - 4

Distributive property.

30 + 2y + 8 = 3y - 4

Combine like terms.

38 + 2y = 3y - 4

Subtract 2y from both sides.

38 = y - 4

Add 4 to both sides.

y = 42

Now that we have the value of y, we can find the value of x.

x - 42 = 15

Add 42 to both sides.

x = 57

What are fact family's for 4,9,36

Answers

4 x 9 = 36

9 x 4 = 36

36/9 = 4

36/4 = 9

Solve each component inequality and graph the solution
[tex]x > 2 and \: x - 1 \leqslant 10[/tex]

Answers

Solution: The value of x after solving both components is [tex]2<x\leq11[/tex] or [tex](2,11][/tex].

Explanation:

From the first component it is clearly noticed that the value of x is greater than 2.

Simplify the second component.

[tex]x-1\leq 10\\x\leq 11[/tex]

From the above inequality it is clearly noticed that the value of x is less than or equal to  11.

Solving both components we get [tex]2<x\leq11[/tex] and the graphical representation is shown in the figure.

The red portion shows the solutions of [tex]x>2[/tex], blue portion shows the solution of [tex]x-1\leq 10[/tex] and purple portion which combination of red and blue portion shows the solution of both inequalities.

Therefore, value of x after solving both components is [tex]2<x\leq11[/tex] or [tex](2,11][/tex].

What equation represents this sentence?

18 less than the product of a number and 9 is 14.

Answers

18 - (9 x 14) This equation represents the sentence.

hope that helps :)


The sum of 4 times a number and 7 is equal to 5

Answers

let the missing number be x
4x+7=5
step 1: subtract 7 from both sides
4x=-2
step 2: divide by 4 on both sides
x=-0.5
Final answer:

The question presents a basic algebraic problem. We translate the words into a mathematical equation, 4x + 7 = 5. After some simple manipulations (subtracting 7 from both sides and dividing the result by 4), we find that the value of x is -0.5.

Explanation:

The question presents a typical example of a simple equation in Mathematics. The first step in solving this problem involves interpretation. The statement 'The sum of 4 times a number and 7 is equal to 5' can be translated into this equation: 4x + 7 = 5. To obtain the value of x, we need to isolate it on one side of the equation.

We can proceed by subtracting 7 from both sides
to achieve 4x = -2. Finally, we divide both sides of the equation by 4 to obtain x = -0.5. Thus, the number in question is -0.5.

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Mr.santino needs a total of 406 forks for his restaurant. He currently has 278 forks .15 if each set has 12 forks ,what is the minimum number of sets of forks he should buy?

Answers

he should buy 11 sets of forks, hope this helped! <3

Help me to answer now ineed this
Please...

Answers

ANSWER TO QUESTION 1

[tex]\frac{\frac{y^2-4}{x^2-9}} {\frac{y-2}{x+3}}[/tex]

Let us change middle bar to division sign.

[tex]\frac{y^2-4}{x^2-9}\div \frac{y-2}{x+3}[/tex]

We now multiply with the reciprocal of the second fraction

[tex]\frac{y^2-4}{x^2-9}\times \frac{x+3}{y-2}[/tex]

We factor the first fraction using difference of two squares.

[tex]\frac{(y-2)(y+2)}{(x-3)(x+3)}\times \frac{x+3}{y-2}[/tex]

We cancel common factors.

[tex]\frac{(y+2)}{(x-3)}\times \frac{1}{1}[/tex]

This simplifies to

[tex]\frac{(y+2)}{(x-3)}[/tex]

ANSWER TO QUESTION 2

[tex]\frac{1+\frac{1}{x}} {\frac{2}{x+3}-\frac{1}{x+2}}[/tex]

We change the middle bar to the division sign

[tex](1+\frac{1}{x}) \div (\frac{2}{x+3}-\frac{1}{x+2})[/tex]

We collect LCM to obtain

[tex](\frac{x+1}{x})\div \frac{2(x+2)-1(x+3)}{(x+3)(x+2)}[/tex]

We expand and simplify to obtain,

[tex](\frac{x+1}{x})\div \frac{2x+4-x-3}{(x+3)(x+2)}[/tex]

[tex](\frac{x+1}{x})\div \frac{x+1}{(x+3)(x+2)}[/tex]

We now multiply with the reciprocal,

[tex](\frac{(x+1)}{x})\times \frac{(x+2)(x+3)}{(x+1)}[/tex]

We cancel out common factors to  obtain;

[tex](\frac{1}{x})\times \frac{(x+2)(x+3)}{1}[/tex]

This simplifies to;

[tex]\frac{(x+2)(x+3)}{x}[/tex]

ANSWER TO QUESTION 3

[tex]\frac{\frac{a-b}{a+b}} {\frac{a+b}{a-b}}[/tex]

We rewrite the above expression to obtain;

[tex]\frac{a-b}{a+b}\div {\frac{a+b}{a-b}}[/tex]

We now multiply by the reciprocal,

[tex]\frac{a-b}{a+b}\times {\frac{a-b}{a+b}}[/tex]

We multiply out to get,

[tex]\frac{(a-b)^2}{(a+b)^2}[/tex]

ANSWER T0 QUESTION 4

To solve the equation,

[tex]\frac{m}{m+1} +\frac{5}{m-1} =1[/tex]

We multiply through by the LCM of [tex](m+1)(m-1)[/tex]

[tex](m+1)(m-1) \times \frac{m}{m+1} + (m+1)(m-1) \times \frac{5}{m-1} =(m+1)(m-1) \times 1[/tex]

This gives us,

[tex](m-1) \times m + (m+1) \times 5}=(m+1)(m-1)[/tex]

[tex]m^2-m+ 5m+5=m^2-1[/tex]

This simplifies to;

[tex]4m-5=-1[/tex]

[tex]4m=-1-5[/tex]

[tex]4m=-6[/tex]

[tex]\Rightarrow m=-\frac{6}{4}[/tex]

[tex]\Rightarrow m=-\frac{3}{2}[/tex]

ANSWER TO QUESTION 5

[tex]\frac{3}{5x}+ \frac{7}{2x}=1[/tex]

We multiply through with the LCM  of [tex]10x[/tex]

[tex]10x \times \frac{3}{5x}+10x \times \frac{7}{2x}=10x \times1[/tex]

We simplify to get,

[tex]2 \times 3+5 \times 7=10x[/tex]

[tex]6+35=10x[/tex]

[tex]41=10x[/tex]

[tex]x=\frac{41}{10}[/tex]

[tex]x=4\frac{1}{10}[/tex]

Method 1: Simplifying the expression as it is.

[tex]\frac{\frac{3}{4}+\frac{1}{5}}{\frac{5}{8}+\frac{3}{10}}[/tex]

We find the LCM of the fractions in the numerator and those in the denominator separately.

[tex]\frac{\frac{5\times 3+ 4\times 1}{20}}{\frac{(5\times 5+3\times 4)}{40}}[/tex]

We simplify further to get,

[tex]\frac{\frac{15+ 4}{20}}{\frac{25+12}{40}}[/tex]

[tex]\frac{\frac{19}{20}}{\frac{37}{40}}[/tex]

With this method numerator divides(cancels) numerator and denominator divides (cancels) denominator

[tex]\frac{\frac{19}{1}}{\frac{37}{2}}[/tex]

Also, a denominator in the denominator multiplies a numerator in the numerator of the original fraction while a numerator in the denominator multiplies a denominator in the numerator of the original fraction.

That is;

[tex]\frac{19\times 2}{1\times 37}[/tex]

This simplifies to

[tex]\frac{38}{37}[/tex]

Method 2: Changing the middle bar to a normal division sign.

[tex](\frac{3}{4}+\frac{1}{5})\div (\frac{5}{8}+\frac{3}{10})[/tex]

We find the LCM of the fractions in the numerator and those in the denominator separately.

[tex](\frac{5\times 3+ 4\times 1}{20})\div (\frac{(5\times 5+3\times 4)}{40})[/tex]

We simplify further to get,

[tex](\frac{15+ 4}{20})\div (\frac{(25+12)}{40})[/tex]

[tex]\frac{19}{20}\div \frac{(37)}{40}[/tex]

We now multiply by the reciprocal,

[tex]\frac{19}{20}\times \frac{40}{37}[/tex]

[tex]\frac{19}{1}\times \frac{2}{37}[/tex]

[tex]\frac{38}{37}[/tex]

Write an expression for the following a. One more than twice a number b. A number decreased by 6 c. Two-thirds of a number

Answers

a= 1+2b, b=1-6, c=2/3d. Hope this helps, I used D as a number in C you don't have to use d.

The first step in solving 5 1/2 = 2 2/7 + n/4 is to subtract 2 2/7 from both sides of the equation. true or false

Answers

Answer:


Step-by-step explanation:

the answer you are looking for is TRUE

you want to get that side so there is only the coefficient

*please mark as brainliest*


Answer: TRUE


Step-by-step explanation:


140 students are going in a field trip. They fill up a total of 4 buses equally. How many students are on each bus?

Answers

Your answer is 35

Hope this helps

The answer is 35 students in each bus. You just have to divide the number of students (140) and the number of buses (4). Then you'll get 35

PLEASE HELP!! WILL MARK BRAINLIEST! NO ONE HAS BEEN ABLE TO HELP!

Answers

Answer:  A


Step-by-step explanation:

Let us first observe behavior in only quadrant 1 .

On x-axis one small box represent one year.

On y-axis one small box represent  one dollar.

If we see the 1 year on x-axis its corresponding value of dollar on y -axis is in mid of 4 dollars and 5 dollars.

Now if we see the 2nd year on x-axis its corresponding value of dollar on y-axis is at 6 dollars .

It concluded that after each year 0.5 dollars per pound increases.

We can see the same behavior throughout the straight line.


Solve the equation 4c^2+7c-5=0 using the quadratic formula.

Answers

[tex]c = \frac{-7+\sqrt{129} }{8}  ,\frac{-77-\sqrt{129} }{8}[/tex]

how to determine if its a proportional

Answers

You have to see if they are all moving up at a constant rate. You can check this by subtracting $17.40 from $21.75. It is $4.35. Then multiply $4.35 by 46. If it is not equal to $200.10, then it is not a proportional relationship. When you multiply it, you actually do get $200.1, which is equal to $200.10. So this is a proportional relationship.

number 3.simplify 24cd/c

Answers

The answer is 24d because you have to simplify d_c first then you have 24c x  d_c  and then c cancels itself out so the answer is 24d.



Can somebody help me with this I need help ASAP

Answers

Answer:

D. 300/3 = 100

Step-by-step explanation:

He needs to divide the number by 3 since he is placing 3 erasers in each bag. He needs to divide 280 by 3. 280 divided by 3 is not a choice. The closest choice is 300/3, so that is the correct answer.

If you use compatible numbers the answer would be 300÷3=100

The area of a certain state is 840,000 miles. what is this area in scientific notation

8.4 x 10^-4


84 x 10^-3


84 x 10^3


8.4 x 10^5


Plz help asap!!!!

Answers


[tex]84 \times10 \sqrt{?} [/tex]

The answer is D the last one.

The answer using Pythagorean theorem

Answers

h^2 = b^2+p^2

21^2 = 17^2+x^2

441 = 289 + x^2

441-289 = x^2

122 = x^2

square root of 122 is x.

therefore, x= 11.04536102.


Answer:  12.32 is the answer.


Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.

We substitute in the values,


17^2+B^2=21^2.


Now we simplify.


289+B^2=441


We subtract the 289 from both sides,


B^2=152                                                                                                                                                            


Now we use square root to find the answer.


12.32 is the answer.


Hope this helps!




Select all the possible solutions for 2x +7 < 3x-5

Answers

Solution :

We have to find all the possible solutions for the inequality [tex]2x+7<3x-5[/tex].

The given inequality can be solved as,

Subtracting 7 from both side , we get

[tex]2x+7-7 < 3x-5-7\\\\\Rightarrow 2x<3x-12[/tex]

Now, Subtracting 3x from both side, we get

[tex]2x-3x<3x-12-3x\\\Rightarrow -x <-12\\[/tex]

As we here we can see that both sides have similar sign, so we can cancel them out.

[tex]\Rightarrow x < 12[/tex]

Hence, the possible solution of the inequality  [tex]2x+7<3x-5[/tex] is [tex]x< 12[/tex]

A theater can seat 120 people. The number of rows is 7 less than the number of seats in each row. How many rows of seats are there?

Answers

Let x be the number of rows.

If the number of rows is 7 less than the number of seats in each row, then the number of seats in a row is x+7. The total number of seats is

x·(x+7).

You know that a theater can seat 120 people, then

x·(x+7)=120.

Solve it:

[tex]x^2+7x-120=0,\\\\D=7^2-4\cdot (-120)=49+480=529,\ \sqrt{D}=23,\\\\x_1=\dfrac{-7+23}{2}=8, \ x_2=\dfrac{-7-23}{2}=-15.[/tex]

The number of rows must be positive, then x=8.

Answer: there are 8 rows with 15 seats at each.

Can anyone help me? I’m really stuck.

Answers

the answer for A is

7 1/2+8+6 3/4+5 1/2+6 1/4

the answer for B is

10.50 times 34/7 is equal to 51

2.

the answer for A is

9 hours, 50 minutes

the answer for B is

50.80

sherman has 3 cats and 2 dogs.he wants to buy a toy for each of his pets. sherman has $22 to spend on pet toys.how much can he spend on each pet?write your answer as a fraction ans as an amount in dollars and cents

Answers

your correct answer is 4.27 so 4.27/22

If I have two lines, will they cross? What postulate helps me answer this question?

Answers

Two lines will always meet if they're long enough, unless they're parallel. If two lines are parallel, they will never meet each other.

Two jets leave an air base at the same time and travel in opposite directions. One jet travels 60 /mih faster than the other. If the two jets are 7848mi apart after 6 hours, what is the rate of each jet?

Answers

slower jet speed is x

[tex]6 x + 6(x + 60) = 7848 \\ 12x + 360 = 7848 \\ x = 624[/tex]
so the two speeds are 624 and 684

The speed of the slower jets and faster jets are 624 mi / Hr and 684 mi/hr respectively.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Let the speed of a slower jet be represented as 'x'

Now Given:

one jet travels 60 mph slower than the other.

Hence Speed of a faster jet will be = x  +   60

Distance = 7848  miles

Time = 6 hrs

Now we know that;

Distance is equal to the product of speed and time.

Framing in the equation we get;

Distance = (Speed of Faster Jet + Speed of Slower jet) × Time.

Substituting the given values we get;

7848  =  ( x  +  x  +  60  )  6

7848  =  12x  +  360

x  =  624

Speed of slower jet = 624 miles/hr

Speed of faster jet = 624  +  60  =  684 miles/hr

Hence Speed of the Faster jet is 684 miles/hr and the speed of the slower jet is 624 miles/hr.

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John invests a sum of money in a retirement Account with fixed annual interest rate of 2.63% compounded continuously.After 15 years the balance reaches 1,912.41.What was the amount of initial investment

Answers

Answer: The amoun of the initial value was $1,289.


Step-by-step explanation:

1. To solve this problem you must apply the formula shown below:

[tex]A=Pe^{rt}[/tex]

Where:

- [tex]A[/tex] is the account balance ([tex]A=1,912.41[/tex]).

- [tex]P[/tex] is the principal.

- [tex]r[/tex] is the annual interest ([tex]r=0.0263[/tex]).

- [tex]t[/tex] is the time in years ([tex]t=15[/tex]).

- [tex]e[/tex]=2.7182

2. You must substitute the values into the formula and then you must solve for [tex]P[/tex], as following:

[tex]1,912.41=Pe^{(0.0263)(15)}\\1,912.41=1.48P\\P=\frac{1,912.41}{1.48}\\P=1,289[/tex]

Answer:

$ 1,289

Step-by-step explanation:

p= 1289

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