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3 years ago

Convert the units of capacity.

2 answers:

5 0

The correct answer is C) 456 fl oz

There are 4 quarts in 1 gallon. This means that 3 gallons = 3*4 = 12 quarts.

Adding this to the 2 quarts in the problem, we have 12+2=14 quarts.

There are 2 pints in every quart. This means that 14 quarts = 14*2 = 28 pints.

There are 2 cups in every pint. This means that 28 pints = 28*2 = 56 cups.

Adding this to the 1 cup in the problem, we have 56+1=57 cups.

Each cup is 8 fl oz; this gives us 57*8 = 456 fl oz.

harkovskaia [24]3 years ago

3 0

Answer: C

Step-by-step explanation:

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A total of 500 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t

Elena L [17]

Lets x = number adult tickets sold

3x = number student tickets sold

Now you have:

x +3x = 500

4x = 500

x =500/4 = 125

Answer: 125 adults tickets were sold.

4 0

3 years ago

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Task 2 a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a

Galina-37 [17]

Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>The equation of a city that has experienced a population growth</h3>

The initial population of the city is 10000, and the growth rate of the population is 4%.

So, the exponential equation is:

$y = 10000 * 1.04^x$

<h3>The equation of a city that has experienced a population decline</h3>

The initial population of the city is 12000, and the decay rate of the population is 3%.

So, the exponential equation is:

$y = 12000* 0.97^x$

<h3>The similarities in the equations</h3>

The similarity in both equations is that, they both represent exponential function.

<h3>The year the population of city A exceeds B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A exceeds city B, we have the following inequality

$10000 * 1.04^x > 12000 * 0.97^x$

Divide both sides by 10000

$1.04^x > 1.2 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{0.97})^x > 1.2$

$1.07^x > 1.2$

Take the natural logarithm of both sides

$\ln(1.07)^x > \ln(1.2)$

This gives

$x\ln(1.07) > \ln(1.2)$

Solve for x

$x > \frac{\ln(1.2)}{\ln(1.07)}$

$x > 2.69$

This means that, the population of city A will exceed city B after 3 years

<h3>The year the population of city A will be at least twice of city B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A is at least twice city B, we have the following inequality

$10000 * 1.04^x \ge 2 * 12000 * 0.97^x$

$10000 * 1.04^x \ge 24000 * 0.97^x$

Divide both sides by 10000

$1.04^x \ge 2.4 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{ 0.97})^x \ge 2.4$

$1.07^x \ge 2.4$

Take the natural logarithm of both sides

$\ln(1.07)^x \ge \ln(2.4)$

This gives

$x\ln(1.07) \ge \ln(2.4)$

Solve for x

$x\ge \frac{\ln(2.4)}{\ln(1.07) }$

$x\ge 12.9$

This means that, the population of city A will be at least twice city B after 13 years

Read more about exponential functions at:

brainly.com/question/11464095

3 0

3 years ago

Please help me asap<br><br>

dimaraw [331]

Okay so basically 1 + 5 = 180
and if we know 1 = 124 we can assume 5 = 56
and 5 = 4 SOOOO
4 = 56

4 0

3 years ago

????????????????????????????? can someone do this thanks

shusha [124]

Answer:

ima say 32 bc i used a calculator

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the measure of B?

weqwewe [10]

Answer: ∠B = 82°

Step-by-step explanation:

To find the measure of B, you have to find the measure of A.

m∠143° + m∠A = 180° because they are a linear pair

m∠A + 143 = 180

Subtract both sides by 143

m∠A = 37

Since you know the measure of angle A, you can find angle B

Angle A, B, and C should add up to 180° as triangles' angles sum up to 180°.

∠B + ∠A + ∠C = 180°

Substitute

∠B + 37 + 61 = 180

∠B + 98 = 180

Subtract 98 from both sides

∠B = 82°

7 0

3 years ago