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## You wish to prepare an HC2H3O2 buffer with a pH of 4.24. If the pKa of is 4.74, what ratio of C2H3O2 /HC2H3O2 must you use?

To solve this problem,
we can use the Henderson-Hasselbalch Equation which relates the pH to the measure
of acidity pKa. The equation is given as:

pH = pKa + log ([base]/[acid])                —> 1

Where,

[base] = concentration
of C2H3O2
in molarity or moles

[acid] = concentration of  HC2H3O2 in molarity or moles

For the sake of easy calculation, let us assume that:

[base] = 1

[acid] = x

Therefore using equation 1,
4.24 = 4.74 + log (1 / x)

log (1 / x) = – 0.5

1 / x = 0.6065

x =
1.65

The required ratio of C2H3O2 /HC2H3O2 is 1:1.65 or 3:5.

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## 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

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

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## What is the similarity ratio of the smaller to the larger similar prisms ? with SA 18m^2 and SA 50m^2

√(18):√(50) = 3√(2) : 5√(2) = 3 : 5
the square root of 18;the square root of 50
you simplify the answer and get…
3 (square root of 2); 5 (square root of 2)
you cancel out the square roots of 2 because they’r the same on both sides…
then you get that the ratio is 3;5.
i hope i helped c:

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## IF COCONUTS ARE TWICE AS EXPENSIVE AS BANANAS, AND BANANAS ARE ONE-THIRD AS EXPENSIVE AS GRAPEFRUITS,WHAT IS THE RATIO OF THE PRICE OF ONE COCONUT TO ONE GRAPEFRUIT?

IF COCONUTS ARE TWICE AS EXPENSIVE AS BANANAS, AND BANANAS ARE ONE-THIRD AS EXPENSIVE AS GRAPEFRUITS,WHAT IS THE RATIO OF THE PRICE OF ONE COCONUT TO ONE GRAPEFRUIT?

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## A number is divided in the ratio 5:9, If the first part is 35, find the number.

A number is divided in the ratio 5:9, If the first part is 35, find the number.

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## The ratio of the heights of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331 cm3. To the nearest whole number, what is the volume of the larger pyramid

The ratio of the heights of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331 cm3. To the nearest whole number, what is the volume of the larger pyramid

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## Every female chicken lays 4 eggs. What is the constant of proportionality for the ratio of eggs to female chickens? 4, 3, 1/3, 1/4.

Every female chicken lays 4 eggs. What is the constant of proportionality for the ratio of eggs to female chickens? 4, 3, 1/3, 1/4.

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## I WILL RATE BRAINLIEST I JUST NEED HELP!!!! In a reaction, 15 moles of carbon dioxide are produced from 5 moles of iron (III) oxide and 15 moles of carbon monoxide. What is the mole ratio of carbon dioxide to carbon monoxide? I am completely lost on this…

I WILL RATE BRAINLIEST I JUST NEED HELP!!!! In a reaction, 15 moles of carbon dioxide are produced from 5 moles of iron (III) oxide and 15 moles of carbon monoxide. What is the mole ratio of carbon dioxide to carbon monoxide? I am completely lost on this…

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## A chunk of gold and copper in the ratio 20:7. How much gold is in this 200g sample of gold

A chunk of gold and copper in the ratio 20:7. How much gold is in this 200g sample of gold

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## Four siblings are to share in an inheritance. They are to receive money in the money in the amount of \$88,000 in the ratio of 5:3:2:1. What is the amount of the greatest share ?

Four siblings are to share in an inheritance. They are to receive money in the money in the amount of \$88,000 in the ratio of 5:3:2:1. What is the amount of the greatest share ?

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## I WILL RATE BRAINLIEST!!!!! NEEED HELP PLEASEEEEE What is the mole ratio of water to carbon dioxide in the following equation?C3H8 + 5O2 3CO2 + 4H2O 6:8 4:3 7:9 8:6 I cannot figure this one out…

I WILL RATE BRAINLIEST!!!!! NEEED HELP PLEASEEEEE What is the mole ratio of water to carbon dioxide in the following equation?C3H8 + 5O2 3CO2 + 4H2O 6:8 4:3 7:9 8:6 I cannot figure this one out…

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## Lara made some chocolate tarts. For every 5 cups of chocolate chips. She added 3 cups of sugar. The ratio of chocolate chips to sugar in Lara's chocolate tarts is

Lara made some chocolate tarts. For every 5 cups of chocolate chips. She added 3 cups of sugar. The ratio of chocolate chips to sugar in Lara’s chocolate tarts is

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## Jesse ran nearly three laps around the track for every lap his grandfather walked. Write the ratio of Jesse's lap around yhe track to his grandfather's laps.

Jesse ran nearly three laps around the track for every lap his grandfather walked. Write the ratio of Jesse’s lap around yhe track to his grandfather’s laps.

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## A recipe has a ratio of 2 cups of sugar to 6 cups of flour. How many cups of flour are used for each cup of sugar in the recipe?

A recipe has a ratio of 2 cups of sugar to 6 cups of flour. How many cups of flour are used for each cup of sugar in the recipe?

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## HELP PLEASE!! Jesse ran nearly three laps around the track for every lap his grandfather walked. Write the ratio of Jesse's lap around the track to his grandfather's laps.

HELP PLEASE!! Jesse ran nearly three laps around the track for every lap his grandfather walked. Write the ratio of Jesse’s lap around the track to his grandfather’s laps.

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## If the similarity ratio of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?

If the similarity ratio of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?

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## Petra has done a survey of car ownership in her neighborhood. She finds that the ratio of families who own only one car to those who own more than one car is 2:3. Which statement below is an accurate explanation of her findings? A For every 3 families in the neighborhood, 2 families own only one car. B For every 5 families in the neighborhood, 2 families own only one car. C For every 3 families in the neighborhood, 2 families own more than one car. D For every 5 families in the neighborhood, 2 families own more than one

A For every 3 families in the neighborhood, 2 families own only one car

It is stated that the relations are 2:3 in the sense of one car : more cars. That means that for every two families with one car, there are three families with more cars. In that sense, every 4 families will have one car while six families will have more cars, and so on and so forth.

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## The flow of water from a water faucet can fill a 3 gallon container in 15 seconds. Give the ratio of gallons to seconds as a rate in gallons per second?

The flow of water from a water faucet can fill a 3 gallon container in 15 seconds. Give the ratio of gallons to seconds as a rate in gallons per second?

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## Swanson company has two divisions; sporting goods and sports gear. the sales mix is 65% for sporting goods and 35% for sports gear. swanson incurs \$6,660,000 in fixed costs. the contribution margin ratio for sporting goods is 30%, while for sports gear it is 50%. the break-even point in dollars is

Swanson company has two divisions; sporting goods and sports gear. the sales mix is 65% for sporting goods and 35% for sports gear. swanson incurs \$6,660,000 in fixed costs. the contribution margin ratio for sporting goods is 30%, while for sports gear it is 50%. the break-even point in dollars is

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## The ratio of the number of adults to the number of children on a certain bus tour was 4 to 22. if the total number of passengers on the bus tour was 91, how many adults were on the tour?

children = c
total passengers = t

ratio :
4c = 22 a
c = (22 a) / 4

a + c = t
a + c = 91
a + (22 a) / 4 = 91

for all of the elements, we multiply by 4, so it’s much easier formula.

4a + 22a = (91 * 4)
26a = 364

a = 364 / 26 = 14

c = (22 a) / 4
c = (14 * 22) / 4 = 77

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## What is the mole ratio of water to H3PO4? Do not simplify the ratio.

What is the mole ratio of water to H3PO4? Do not simplify the ratio.

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## If the reserve ratio is 15 percent, the money multiplier is

The money multiplier is in indication as to how the money should increase based on the amount of reserves in the bank. This value is the reciprocal of  the reserve ratio.

In this item, the reserve ratio is equal to 15% which can also be written as 0.15. The money multiplier, m can be calculated as follows:

m = 1/r
m = 1/0.15  = 6.67

Thus, the money multiplier should be equal to 6.67.

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## Please Help.The ratio of the lengths of corresponding parts in two similar solids is 4:1. What is the ratio of their surface areas? A.64:1 B.16:1 C.4:1 D.8:1

The triangle ABC is similar to triangle LMP. The order here is very important. The letters correspond to one another
A corresponds to L (first letters of each sequence)
B corresponds to M (second letters of each sequence)
C corresponds to P (third letters of each sequence)

In a similar fashion, the segments also correspond to one another.
AB corresponds to LM (first two letters of each sequence)
AC corresponds to LP (first and last letters of each sequence)
BC corresponds to MP (last two letters of each sequence)

————————————

AB corresponds to LM. AB is 4 units long. LM is 2 units long. So AB is twice as long as LM. This ratio (of 2:1) will be applied to every paired corresponding value.

Also, the right angle is at angle M for triangle LMP. The right angle will be at angle B for triangle ABC (since B corresponds to M). The answer will have an x coordinate of 7. So the answer is either choice B or choice C.

If we move 4 units down from point B, we land on (7,-10). That isn’t listed as an answer choice. Let’s try moving 4 units up from point B. We land on (7,-2). This is an answer choice

So the final answer is choice C) (7,-2)

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## Jenna has 3 red balloons and 5 blue balloons. The ratio of the number of red balloons to the number of blue balloons is . She adds 2 red balloons and removes 1 blue balloon. The new ratio of the number of red balloons to the number of blue balloons is .

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:3:7. How many cups of onion are needed to make 36 cups of salsa?

The triangle ABC is similar to triangle LMP. The order here is very important. The letters correspond to one another
A corresponds to L (first letters of each sequence)
B corresponds to M (second letters of each sequence)
C corresponds to P (third letters of each sequence)

In a similar fashion, the segments also correspond to one another.
AB corresponds to LM (first two letters of each sequence)
AC corresponds to LP (first and last letters of each sequence)
BC corresponds to MP (last two letters of each sequence)

————————————

AB corresponds to LM. AB is 4 units long. LM is 2 units long. So AB is twice as long as LM. This ratio (of 2:1) will be applied to every paired corresponding value.

Also, the right angle is at angle M for triangle LMP. The right angle will be at angle B for triangle ABC (since B corresponds to M). The answer will have an x coordinate of 7. So the answer is either choice B or choice C.

If we move 4 units down from point B, we land on (7,-10). That isn’t listed as an answer choice. Let’s try moving 4 units up from point B. We land on (7,-2). This is an answer choice

So the final answer is choice C) (7,-2)