Mary has 12 hair ribbons. 3 of the ribbons are red. What percent of her ribbons are red?

Answers

Answer 1

Answer:36%

Step-by-step explanation:

Answer 2

Answer:

25%

Step-by-step explanation:

3 ribbons/ 12ribbons= 1/12

If You simplify dividing by 3 it becomes =1/4 = 0.25

so.. this is the 25 %


Related Questions

A line is drawn so that it passes through the points (3, 4) and (4,1).
What is the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

the formula to find slope with two points is y2-y1/x2-x1.

for this problem it would be solved as follows:

1-3/4-3

-2/1 = -2

The slope of a line is the change in the y values over the corresponding x values.

The slope of the line that passes through (3, 4) and (4,1) is -3

Given that:

[tex](x_1,y_1) = (3,4)[/tex]

[tex](x_2,y_2) = (4,1)[/tex]

The slope (m) is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{1-4}{4-3}[/tex]

[tex]m = \frac{-3}{1}[/tex]

[tex]m = -3[/tex]

Hence, the slope is -3.

Read more about slopes at:

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Nine increased by the product of a number and 2 is less than or equal to 27.
Use the variable w for the unknown number.

Answers

Answer:

x≤9

Step-by-step explanation:

9+2x≤27

1) Subtract both sides by 9:

2x≤18

2) Divide both sides by 2:

x≤9

Final answer:

Translate the verbal statement into an inequality, 9 + 2w ≤ 27, then solve for w by subtracting 9 and dividing by 2 to find w ≤ 9.

Explanation:

The statement 'Nine increased by the product of a number and 2 is less than or equal to 27' can be translated into the following inequality: 9 + 2w ≤ 27, where w represents the unknown number. To solve for w, we will follow these steps:

Subtract 9 from both sides: 2w ≤ 18.

Divide both sides by 2: w ≤ 9.

Therefore, the solution to the inequality is w being any number less than or equal to 9.

Without dividing, select the number that is divisible by 3.


A). 1036
B). 1125
C). 1571
D). 2045

Answers

Answer:

The answer is B: 1125

Step-by-step explanation:

I divided it for you and it is the only answer that did not have a decimal.

what is the value of x in the equation 2(x-3)+9=3(x+1)+x?

Answers

Answer:

X=0

Step-by-step explanation:

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

3(x+1)+x=2(x−3)+93(x+1)+x=2(x-3)+9

Simplify the left side.

4x+3=2(x−3)+94x+3=2(x-3)+9

Simplify 2(x−3)+92(x-3)+9.

4x+3=2x+34x+3=2x+3

Move all terms containing xx to the left side of the equation.

2x+3=32x+3=3

Move all terms not containing xx to the right side of the equation.

2x=02x=0

Divide each term by 22 and simplify.

x=0

5 what is x? Please show work

Answers

C. 23
x+8=2x-15
-x -x
8=x-15
+15 +15
23=x
(Brainliest??)

What is the volume of this rectangular prism?

Answers

Answer:

It would be A.

Step-by-step explanation:

It is a because you multiply 2 and 2 to get 4 then multiply 4 and 7 to get 28cm cubed

Answer:

Answer: A 28 cm^3

Step-by-step explanation:

Multiply your three values together to get your volume

Hope this is helpful! :)

Please help me!! I'm not very good with math.

Answers

Answer:

SteEarth's surface covered by water is 352,000,000 + 9 x 10^6 = 352,000,000 + 9,000,000 = 361,000,000 = 3.61 x 10^8p-by-step explanation:

What is the slope of the joining ( 8,1 ) and (24,9)

Answers

Answer:

[tex]\large\boxed{slope=\dfrac{1}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (8, 1) and (24, 9).

Substitute:

[tex]m=\dfrac{9-1}{24-8}=\dfrac{8}{16}=\dfrac{8:8}{16:8}=\dfrac{1}{2}[/tex]

Answer is provided in the image attached.

Which of the following equations have infinitely many solutions?
Choose all answers that apply:

a. 57x+57=-75x-7557x+57=−75x−75
b. -75x+57=-75x+57−75x+57=−75x+57
c. 75x+57=-75x+5775x+57=−75x+5
d. −57x+57=−75x+75

Answers

Answer:

b. -75x+57=-75x+57

Step-by-step explanation:

If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,

In option a.

57x+57=-75x-75

57x + 75x = -75 - 57

132x = -132

⇒ x = -1

i.e. it has only one solution,

In option b.

-75x+57=-75x+57

-75x + 75x = 57 - 57

0 = 0  ( True )

i.e. it has infinitely many solution.

In option c.

75x+57=-75x+57

75x + 75x = 57 - 57

150x = 0

⇒ x = 0

i.e. it has only one solution,

In option d.

-57x+57=-75x+75

-57x + 75x = 75 - 57

18x = 18

⇒ x = 1

i.e. it has only one solution.

Answer:

I don’t know if this is different or whatever but I got C

Step-by-step explanation:

Sorry if it’s wrong!

edit it is actually in a different order so make sure to check!

to solve the equation 3x-7=x-2, Alex says the first step is to subtract x from both sides. Danny says the first step is to add 7 to both sides.
a.Solve the equation using Alex's method of first subtracting x from both sides.

b.Solve the equation using Danny's method of first adding 7 to both sides.

c.Who is correct, Alex or Danny? Justify your answer.

d. Is there another correct first step for solving this equation? If so, identify it and use it to solve the equation. If not,explain why not.

Answers

Answer:

[tex]x=\frac{5}{2}[/tex]

Step-by-step explanation:

Given : Equation [tex]3x-7=x-2[/tex]

To find : Solve the equation ?

Solution :

a) Solve the equation using Alex's method of first subtracting x from both sides.

Equation [tex]3x-7=x-2[/tex]

Subtract x from both side,

[tex]3x-7-x=x-2-x[/tex]

[tex]2x-7=-2[/tex]

[tex]2x=-2+7[/tex]

[tex]2x=5[/tex]

[tex]x=\frac{5}{2}[/tex]

b) Solve the equation using Danny's method of first adding 7 to both sides.

Equation [tex]3x-7=x-2[/tex]

Adding 7 from both side,

[tex]3x-7+7=x-2+7[/tex]

[tex]3x=x+5[/tex]

[tex]2x=5[/tex]

[tex]x=\frac{5}{2}[/tex]

c) Both are correct in their ways.

d) Is there another correct first step for solving this equation? If so, identify it and use it to solve the equation. If not,explain why not.

Equation [tex]3x-7=x-2[/tex]

We can isolate the terms as like terms place together,

[tex]3x-x=-2+7[/tex]

[tex]2x=5[/tex]

[tex]x=\frac{5}{2}[/tex]

Point J is on line segment IK. Given JK = 2x – 1, IK = 3x + 2,
and I J = 3x – 5, determine the numerical length of JK.

Answers

Answer:

JK=7

Step-by-step explanation:

From the line segment, since J is on it ,it means the line segment is

represented as I J K

from this illustration, we can say that the longest part of the line segment is from I to K

this means that, IJ +JK =IK

making JK the subject,

JK= IK - IJ

but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5

substituting them in the expression,

2x-1 =3x+2 -(3x-5)

solving for x

2x-1 =3x+2-3x+5

2x-1 =0+7

2x-1 =7

2x=1+7

2x=8

dividing through by 2

2x/2 =8/2

x=4

but the question says we should find the numerical value for JK

but from the line segment,

JK=2x-1

but now we know the value of x to be 2

so substituting it in the formula

JK= 2(4)-1

JK=8-1

JK=7

therefore, the numerical value for JK is 7

Final answer:

The length of JK is found by setting the sum of IJ and JK equal to IK and solving for x. When x=4 is substituted back into the expression for JK, the calculated length of JK is 7 units.

Explanation:

To find the numerical length of JK, we can use the fact that IK is the entire line segment, which is the sum of IJ and JK. Therefore, we have the equation IK = IJ + JK. Substituting the given expressions, we get 3x + 2 = (3x - 5) + (2x - 1). Solving for x, we combine like terms and simplify the equation.

First, add the expressions for IJ and JK: (3x - 5) + (2x - 1) = 5x - 6.

Next, set the total length equal to the sum of parts: 3x + 2 = 5x - 6.

Now we solve for x: -2x = -8, leading to x = 4.

Finally, we substitute x back into the expression for JK to find its length: JK = 2(4) - 1 = 8 - 1 = 7.

So, the numerical length of JK is 7 units.

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What does this maths sign mean?

Answers

So like is that not a one?

Answer:

Step-by-step explanation:

in discrete math, a single vertical line usually means "such that" as it relates to data sets. In this case it looks like a typo.

Which expressions are equivalent to 3x + 2(x − 1) − 4?

Answers

5x-6 is equivalent. This is because 2 (x-1) becomes 2x-2, which makes the expression 3x+2x-2-4, which when put all together becomes 5x-6.

Answer:

5- x 6

Step-by-step explanation:

What percent of 200 is 0.5?

Answers

0.25% = 0.5/200
hope this helps!

make me brainliest please if possible :)

If y is a positive integer, for how many different values of y is sqrt ^ 3 144 / y a whole number?

Answers

Answer: second option.

Step-by-step explanation:

We need the remember that:

[tex]\sqrt[n]{a^n}=a[/tex]

Therefore, the radicand (In this case [tex]\frac{144}{x}[/tex]) must be a perfect cube in order to get a whole number.

Remember that a perfect cube are the numbers that have exact cube roots. Therefore, "y" must be a factor of 144.

Now, we need to descompose 144 into its prime factors:

[tex]144=2*2*2*2*3*3=2^4*3^2[/tex]

Then, the factors of 144 are: [tex]1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144[/tex]

Substitute values into [tex]\frac{144}{x}[/tex] to check:

[tex]\frac{144}{1}=144[/tex]

[tex]\frac{144}{2}=72[/tex]

[tex]\frac{144}{3}=48[/tex]

[tex]\frac{144}{4}=36[/tex]

[tex]\frac{144}{6}=24[/tex]

[tex]\frac{144}{8}=18[/tex]

[tex]\frac{144}{9}=16[/tex]

[tex]\frac{144}{12}=12[/tex]

[tex]\frac{144}{16}=9[/tex]

[tex]\frac{144}{18}=8[/tex]  (Perfect cube: [tex]8=2^3[/tex])

[tex]\frac{144}{24}=6[/tex]

[tex]\frac{144}{36}=4[/tex]

[tex]\frac{144}{48}=3[/tex]

[tex]\frac{144}{72}=2[/tex]

[tex]\frac{144}{144}=1[/tex] (Perfect cube: [tex]1=1^3[/tex])

Therefore, for 2 different values of "y"  ([tex]y=18[/tex] and [tex]y=144[/tex]) [tex]\sqrt[3]{\frac{144}{y} }[/tex] is a whole number.

Answer:

B) 2

Step-by-step explanation:

Edge 2020

2 Points
What is the slope of the line that contains the points (-2,2) and (3,4)?

Answers

Answer:

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

-2 + 4\2 + 3 =

I am joyous to assist you anytime.

A chessboard has an area of 324 square inches. There is a 1 - inch border around 64 squares on the board. What is the length of one side of the region containing a small squares?

Answers

The length of one side of the region containing the small squares is 64 inches.

Let x be the length of one side of the region containing the small squares.

The area of the small squares is 64 * 1 = 64 square inches.

The area of the border is (x + 2)^2 - x^2 = 4x + 4 square inches.

Since the area of the small squares and the border is equal to the area of the chessboard, we have:

64 + 4x + 4 = 324

68 + 4x = 324

4x = 256

x = 64

Therefore, the length of one side of the region containing the small squares is 64 inches.

3. Five less than a product of 3 and a number is 40.

Write in an equation with those numbers and x

Answers

The equation would be: 3x-5=40
The answer is 3x-5=40

If f(x) = 2x2 +5/(x-2), complete the following statement:
f(3) = ___

Answers

Answer: The answer is 19

Step-by-step explanation:

If  [tex]f(x)  = 2x^{2}  + \frac{5}{x-2}[/tex], Then

[tex]f(x)  = 2*3^{2}  + \frac{5}{3-2}[/tex]

[tex]f(x)  = 2*9  + \frac{5}{1}[/tex]

[tex]f(x)  = 18  + 1 =19[/tex]

6x + 5y = 147
8x + 4y = 156

Answers

Answer:

[12, 15]

Step-by-step explanation:

{6x + 5y = 147

{8x + 4y = 156

-¾[8x + 4y = 156]

{6x + 5y = 147

{-6x - 3y = -117 ← New Equation

________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all x-terms. It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

Charlie jogs 3 miles south and then 4 miles west. If Charlie were to jog straight home, without changing direction, how far would he have to jog?

Answers

Answer:

He would to jog 5 miles to go direct to his home

Step-by-step explanation:

* Lets explain how to solve the problem

- Charlie jogs 3 miles south and then 4 miles west

- We need to know if Charlie were to jog straight home, without

 changing direction how far he have to jog

- Remember: the East-west line is perpendicular to the north-south line

∵ He jogs 3 miles south

∵ He jogs 4 miles west

∵ South ⊥ west

- We can consider that the west and east distance with the straight

 distance to home formed a right triangle its legs are the south and

 west distance and the straight distance is its hypotenuse

∴ By using Pythagoras Theorem we can find the straight distance

- Remember: In Pythagoras Theorem [tex]c=\sqrt{a^{2}+b^{2}}[/tex]

 where c is the hypotenuse , a and b are the legs of the right Δ

∴ The straight distance = [tex]\sqrt{(3)^{2}+(4)^{2}}\sqrt{9+16}=\sqrt{25}=5[/tex]

He would to jog 5 miles to go direct to his home

Quick help guys thanks :)

Answers

Answer:

[tex]\large\boxed{t^{-58}u^{-88}v^{-71}w^{-1}}[/tex]

Step-by-step explanation:

[tex]\dfrac{tuv^4w^0}{t^{59}u^{89}v^{75}w}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=t^{1-59}u^{1-89}v^{4-75}w^{0-1}=t^{-58}u^{-88}v^{-71}w^{-1}[/tex]

How are the graphs
of f(x) = x2 and g(x) = -(x + 2)2 - 4
related?

Answers

g(x) is f(x) shifted 4 units down and 2 units to the left and flipped over the x-axis.

2.144×10^7÷3.2×10^4​

Answers

144×10^7÷3.2×10^4 is 4500000000000.

Answer:

6.70×10^2

Step-by-step explanation:

Change the 2.144 to standard form to obtain

2144×(10^-3 ×10^7) and also change the 3.2 to 32 ×10^-1 × 10^4

= 32×10^3

2144 ×10^4/32×10^3. since the base are equal (base 10) take only one and subtract the exponent.(2nd law of indices)

2144/32 × 10^4-3

64.97 × 10^1

6.497×10^1 × 10^1

=6.497×10^2

Which pair of fractions are proportional? A)36/54 and 6/9 B)6/7and 16/21 C) 21/36and 21/42 D) 14/35 and 21/42

Answers

The answer is A. 36/54 and 6/9.

Option A

Answer:  

[tex]\frac{36}{54} \text { and } \frac{6}{9}[/tex] are proportional.

Solution:

If two fractions are equal, than it is said to be in proportion.

Case 1:  

Consider option A

Given fractions are [tex]\frac{36}{54} \text { and } \frac{6}{9}[/tex]

[tex]\frac{36}{54}=\frac{9 \times 2 \times 2}{9 \times 2 \times 3}=\frac{2}{3} \text { and } \frac{6}{9}=\frac{2 \times 3}{3 \times 3}=\frac{2}{3}[/tex]

Hence both the fractions are equal. So they are propotional.

Case 2:

Consider option 2

Given fractions [tex]\frac{6}{7} \text { and } \frac{16}{21}[/tex] cannot be simplified further. Also both the fractions are not equal. So they are not propotional.

Case 3:

Consider option 3

Given fractions are [tex]\frac{21}{36} \text { and } \frac{21}{42}[/tex]

[tex]\frac{21}{36}=\frac{7 \times 3}{6 \times 6}=\frac{7}{12} \text { and } \frac{21}{42}=\frac{7 \times 3}{6 \times 7}=\frac{1}{2}[/tex]

Hence [tex]\frac{7}{12} \text { and } \frac{1}{2}[/tex] are not equal. Hence they are not propotional.

Case 4:

Consider option 4  

Given fractions are [tex]\frac{14}{35} \text { and } \frac{21}{42}[/tex]

[tex]\frac{14}{35}=\frac{7 \times 2}{7 \times 5}=\frac{2}{5} \text { and } \frac{21}{42}=\frac{7 \times 3}{7 \times 6}=\frac{1}{2}[/tex]

Hence [tex]\frac{2}{5} \text { and } \frac{1}{2}[/tex] are not equal. Hence they are not propotional.

The answer for the given question is option A  

write 6X10X10X10X10 with an exponent.




Answers

Answer:

6 × 10 × 10 ×10 × 10 = [tex]6 \times 10^{4}[/tex]

Step-by-step explanation:

The exponent of any number shows that how many times that number can be used in multiplication. It is the power raised to any number which show the number of times that number is raised by.

6 × 10 × 10 ×10 × 10

Here 10 is multiplied 4 times, therefore the exponent of 10 is 4.

∴ 6 × 10 × 10 ×10 × 10 = [tex]6 \times 10^{4}[/tex]

Final answer:

The expression 6X10X10X10X10 written with an exponent is 6x10⁴, indicating that 10 is multiplied by itself four times and then multiplied by 6.

Explanation:

To write 6X10X10X10X10 with an exponent, we identify the repeated multiplication of 10s. Since there are four 10s multiplied together, we use the exponent 4 to represent this, and the expression becomes 6x10⁴. This is because when you have repeated multiplication of the same number, you can express that number raised to the power of how many times it is multiplied by itself.

Which of the following is not a long term debt?

Paying off your credit card each month

Taking out a 15 year fixed rate mortgage

Financing an automobile purchase with a 36 month loan

Financing your college education with a 30 year loan


Your friend is confused about types of debts. Which of the following would most likely help his financial portfolio by adding an appreciating asset?

boat loan

car loan

mortgage

none of the above


Which of the following financing options has the least (future) obligation from the student?

scholarship

loan

work study


Which is something you should consider before taking a loan out for college?

interest rate

income potential

length of the loan

all of the above

Answers

Answer:

1. Paying off your credit card each month

2. Mortgage

3. ?

4. All of the above

I'm not sure about the 3rd question.

Final answer:

Paying off a credit card each month is not a long-term debt. A mortgage is most likely to add an appreciating asset to a financial portfolio. Considering interest rates, income potential, and loan length is critical before taking out a loan for college.

Explanation:

Which of the following is not a long term debt? Paying off your credit card each month is not considered a long-term debt. Long-term debts typically extend beyond one year and include options like a 15-year fixed-rate mortgage, a 36-month automobile loan, or a 30-year college education loan.

Your friend is confused about types of debts. Which of the following would most likely help his financial portfolio by adding an appreciating asset? A mortgage is most likely to add an appreciating asset to your financial portfolio, unlike boats and cars, which generally depreciate over time.

Which of the following financing options has the least (future) obligation from the student? A scholarship has the least future obligation from a student as it typically does not require repayment, unlike loans or work-study programs that entail earning or repaying the funds.

Which is something you should consider before taking a loan out for college? Before taking out a loan for college, you should consider all of the above: the interest rate, income potential of your chosen field, and the length of the loan.

(+30)÷(-10)+(-20)÷(-1)​

Answers

Answer: 17

Explanation:
First: 30/-10 = -3
Second: (-20)/(-1) = 20
Third: -3 + 20 = 17
The answer you should get is 17

What is the measure of ∠ A C D ? Upper A is labeled as 33 degree and the angle formed at the vertex Upper B is labeled as 117. The angle formed at the vertex Upper A is labeled as 33 degree and the angle formed at the vertex Upper B is labeled as 117 A. 30 ° B. 63 ° C. 147 ° D. 150

Answers

Final answer:

To find the measure of angle ACD, subtract the measures of angles ABC and BCD from 180 degrees.

Explanation:

To find the measure of angle ACD, we need to subtract the measures of angles ABC and BCD from 180 degrees since the sum of the angles in a triangle is always 180 degrees.

Given that angle ABC measures 117 degrees and angle BCD measures 33 degrees, we have:

∠ACD = 180 degrees - 117 degrees - 33 degrees

= 147 degrees.

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Mauna Loa, a volcanic mountain in Hawaii stands 4170m above sea level and extends to 13000 m below sea level what is the total height of Mauna Loa

Answers

Final answer:

The total height of Mauna Loa is -8,830 meters.

Explanation:

The total height of Mauna Loa, a volcanic mountain in Hawaii, can be calculated by adding its height above sea level to its depth below sea level. The mountain stands at 4,170 meters above sea level and extends to a depth of 13,000 meters below sea level. To find the total height, we add these two values: 4,170m + (-13,000m) = -8,830 meters.

Other Questions
A stone is thrown vertically upward with a speed of 15.0 m/s from the edge of a cliff 75.0 m high.How much later does it reach the bottom of the cliff?What is its speed just before hitting?What total distance did it travel? What is (f g)(2) and (g f)(2) with the set of points f: {(0,4), (1,2), (2,0), (3,2), (4,4)} and g: {(0,4), (1,3), (2,2), (3,1), (4,0)} The difference between tropical and temperate climates is mainly the result of An arrow is shot from a height of 1.3 m toward a cliff of height H . It is shot with a velocity of 34 m/s at an angle of 58.1 above the horizontal. It lands on the top edge of the cliff 4.1 s later. What is the height of the cliff? In the BOREAS study, scientists are trying to determine if a large amount of carbon is being taken in by what biome? a. rainforest b. tundra c. boreal forest d. desert Evaluate 1^3 + 2^3 +3^3 +.......+ n^3 Please helpConsidering the theory of continental drift, is it possible that the continents of the earth could once again become one? Explain your answer. Hypothesize how over-washing of hands can affect the population of ""good"" bacteria that resides on human skin. Find the volume in m3 of 52.6 lbm of iron: Which difficulty did the builders of the transcontinental railroad have to overcome?A. building on the wet, marshy soil of the Great PlainsB. meeting the demands of skilled union workersC. providing supplies to build tracks and support workersD. bridging the Grand Canyon and Rio Grande River We can determine the age of most Mesozoic rocks through "carbon dating," which relies on the radioactive decay of Carbon-14.true or false? Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point(5, -4)? Select three options.y=-2 X-22x +hoy = -10L2x - 5y = -10y+ 4 = _{(x - 5)y- 4 = 5(x+5) Angel is trying to put together a grab bag for her after-school program. She can choose from 4 different types of chocolate and 5 different flavors of gum. How many different types of grab bags can she put together if she puts one chocolate and one flavor of gum in each bag? Given 10 parts per billion. What is the concentrationinmg/L? Define political machines For this device the liquid to be tested is drawn into the tube to a level above the top etched line. The time is then obtained for the liquid to drain to the bottom etched line. The kinematic viscosity, , in m2/s is then obtained from the equation = KR4t where K is a constant, R is the radius of the capillary tube in mm, and t is the drain time in seconds. When glycerin at 20 C (=1.1910-3 m2/s) is used as a calibration fluid in a particular viscometer the drain time is 1430 s. When a liquid having a density of 970 kg/m3 is tested in the same viscometer the drain time is 900 s. What is the dynamic viscosity of this liquid? model the number 5.55 on the place value chart what is the setting in fever 1793? Question 1(Multiple Choice Worth 3 points)(06.04 MC) A reaction produced 37.5 L of oxygen gas at 307 K and 1.25 atm. How many moles of oxygen were produced? 0.538 mol O2 1.86 mol O2 3.22 mol O2 7.56 mol O2Question 2(Multiple Choice Worth 3 points)(06.04 LC) What is the volume of 1.5 moles of oxygen gas at standard temperature and pressure (STP)? 22 L 34 L 58 L 71 LQuestion 3(Multiple Choice Worth 3 points)(06.04 MC) Zinc metal and hydrochloric acid react together according to the following equation:2HCl(aq) + Zn(s) ZnCl2(aq) + H2(g)If 5.98 g Zn reacts with excess HCl at 298 K and 0.978 atm, what volume of H2 can be collected? 2.29 L H2 3.32 L H2 4.58 L H2 7.41 L H2Question 4(Multiple Choice Worth 3 points)(06.04 MC) Read the given equation.Na2O2 + CO2 Na2CO3 + O2What volume of O2 gas is produced from 2.80 liters of CO2 at STP? 5.60 liters 4.20 liters 2.10 liters 1.40 litersQuestion 5(Multiple Choice Worth 3 points)(06.04 MC) Read the given equation.2Na + 2H2O 2NaOH + H2During a laboratory experiment, a certain quantity of sodium metal reacted with water to produce sodium hydroxide and hydrogen gas. What was the initial quantity of sodium metal used if 8.40 liters of H2 gas were produced at STP? 17.2 grams 15.8 grams 12.3 grams 10.0 gramsQuestion 6 (True/False Worth 2 points)(06.04 LC) One mole of any gas at 298 K and 1 atm occupies a volume of 22.4 L. True FalseQuestion 7(Multiple Choice Worth 3 points)(06.04 LC) At standard temperature and pressure, what is the volume of one mole of gas? 22.4 liters 0.0821 liters The same as the molar mass of the gas The product of protons, neutrons, and electrons in the gas Question 1a. How many grams of sucrose would you dissolve inwater for a total volume of 500 mL to make a 5%(weight/volume) solution?