Find the whole number equal to the fraction below. Enter your answer in the
space provided.

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

y dónde está la pregunta de imagen?????????????

Answer: f(x)=2^x+5

Step-by-step explanation:

math

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

The length of the straw in the simplest radical form is \(2\sqrt{30}\) inches

Step-by-step explanation:

The length of the straw can be calculated as follow

The first step is to calculate the diagonal of the base of the rectangular box  by using Pythagorean theorem

\(c^{2}=a^{2}+b^{2}\)

Where \(c\) is the base diagonal or the hypotenuse, \(a\) is the short leg, \(b\) is the long leg

Substitute \(2\) for \(a\), \(4\) for \(b\) in the Pythagorean theorem

\(c^{2}=2^{2}+4^{2}\)

Simplify the right side of the equation

\(c^{2}=4+16\)

\(c^{2}=20\)

Take the square root of the right side to get the value of \(c\)

\(c=\sqrt{20}\)

Factor \(20\) by \(4\)

\(c=\sqrt{4\times 5}\)

Substitute \(2^{2}\) for 4

\(c=\sqrt{2^{2}\times 5}\)

Rewrite the value of \(c\) in the simplest radical form

\(c=2\sqrt{5}\)

Since the value of \(c\) is \(2\sqrt{5}\), then the length of the diagonal of the base is

\(2\sqrt{5}\) inches

The second step is to calculate the length of the straw by using Pythagorean theorem

\(c^{2}=a^{2}+b^{2}\)

Where \(c\) is the diagonal from the bottom left corner to the top right back corner or the hypotenuse, \(a\) is the short leg, \(b\) is the long leg

Substitute \(2\sqrt{5}\) for \(a\), \(10\) for \(b\) in the Pythagorean theorem

\(c^{2}=(2\sqrt{5})^{2}+10^{2}\)

Simplify the right side of the equation

\(c^{2}=20+100\)

\(c^{2}=120\)

Take the square root of the right side to get the value of \(c\)

\(c=\sqrt{120}\)

Factor \(120\) by \(4\)

\(c=\sqrt{4\times 30}\)

Substitute \(2^{2}\) for 4

\(c=\sqrt{2^{2}\times 30}\)

Rewrite the value of \(c\) in the simplest radical form

\(c=2\sqrt{30}\)

Since the value of \(c\) is \(2\sqrt{30}\), then the length of the diagonal from the bottom left corner to the top right back corner or the hypotenuse is

\(2\sqrt{30}\) inches

Since the length of the diagonal from the bottom left corner to the top right back corner is \(2\sqrt{30}\) inches, then the length of the straw is \(2\sqrt{30}\) inches

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a) The sample in this scenario is 60 families from each school in the district.

b) The population is the total number of families in the school district.

The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.

The sample of families surveyed = 60 families from each school in the district

The population = the number of families in the school district

The percentage of families surveyed who need bus transportation = 65%

The percentage of families surveyed who would walk to school = 15%

The percentage of families surveyed who would use own transportation = 18%

The percentage of non-respondents = 2%

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Answer:

Step-by-step explanation:

Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m

Circumference of roller = 1.68π m

Contact area of roller = 1.68π × 2.8 = 4.704π m²

Each rotation levels 4.704π m² of the playground.

Area of playground = 750 rotations × (4.704π m²)/rotation

= 3528π m²

≈ 11,084 m²

Answer:

$37.76

Step-by-step explanation:

.18*32 = 5.67

5.67+32 = 37.76  

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

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Answer:

Step-by-step explanation:

Your base would be the 4

Answer:

4

Step-by-step explanation:

When you have a something raise up to a number this can be represented as:

\(b^a = b_1 \cdot b_2 \cdot \cdot \cdot b_a\)

Where \(b\) is the base and \(a\) the exponent. In this case you have five times four, then you can re-write the expression as:

\(4 \times 4 \times 4 \times 4 \times 4 = 4^5\)

Where the \(b\) is equal to 4 and \(a\) equal to 5

Answer:

For 9 the answer is -4

For 10 the answer is -9

Step-by-step explanation:

Hope this helps...

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

I'm almost 30,000 dollars in debt

Step-by-step explanation:

It makes me cry

Answer:

202.3 ounces of real silver

Step-by-step explanation:

Another example would be like pizza. If there are 6 slices of pizza in each box, then 2 boxes of pizza would have 6 + 6 slices = 12 slices. It is 6 slices each * 2 boxes = 12 slices total. The same applies to the coin situation, for every additional coin, multiply 0.85 by the number of coins to get the total weight of real silver.

If there are 238 silver coins, then you have 238 0.85 ounces of real silver. Multiplying 238 by 0.85 to simplify gives you 202.3 ounces of real silver.

Answer:

208?

Step-by-step explanation:

im not sure if this is 100% correct but, all I did was:

238/0.85

=208

Answer:

Yes

Step-by-step explanation:

Given

\(D = \{-2,-1,0,1,2\}\)

Required

Is D a subset of itself?

A subset is defined in such a way that, all elements of the subset can be found in the main set.

So; because set D contains all of its elements, then D is a subset of itself.

\(D = \{-2,-1,0,1,2\}\)

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

We learn by completing economics are  understanding of supply and demand, perfect and imperfect competition, taxation, international trade, price controls, monetary policy, exchange rates, interest rates, unemployment, and inflation.

Economics is the study of scarcity and how it affects how resources are used, how commodities and services are produced, how production and welfare increase over time, and a wide range of other complicated concerns that are extremely important to society. Economics is the study of scarcity and how it influences the utilization of resources, the creation of goods and services, the expansion of production and well-being over time, as well as many other significant and intricate societal issues.

Given

We learn by completing economics are,

To understand individual markets, the overall economy, and governmental policies, one must have a thorough understanding of supply and demand, perfect and imperfect competition, taxation, international trade, price controls, monetary policy, exchange rates, interest rates, unemployment, and inflation, among many other topics.

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Step-by-step explanation:

x×k = y

14×k = 12

k = 12/14 = 6/7

so, the equation is

x × 6/7 = y

or

y = 6x/7

or

y = 6/7 x

Answer: 7.2

Step-by-step explanation:

Don't forget to carry over the 1 from ".4 x 3"

The intersection of vertical lines A and B is  3 and 4.

We are going to apply the sets theory here. In sets theory, the intersection of two elements means the values those elements have in common.

So given: A = {1, 2, 3, 4} and B = {3, 4, 5}

The intersection of A = {1, 2, 3, 4} and B = {3, 4, 5} is {3,4} since they both have 3 and 4 common.

Therefore, vertical lines A and B have intersection of 3 and 4.

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The answer is B. 18

When solving similar triangles, you must set up a proportion. We do not know what the other two lengths are for side AB, but we can still solve another way. For side AC, we can set up a proportion of 33/44. We're going to take AM and put that over the total. The total length of side AB is 24, and we're going to use x for AL.

33/44 = x/24

Once finished solving the proportion, you are left with 18

The missing length of triangle is 18.

What exactly is a triangle?

Triangles are polygons in geometry that have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.

A triangle is categorised into three categories based on its sides, namely:

A triangle is categorised into three categories based on its angles, namely:

Now,

As these triangles are similar that means

we can find the proportion of sides from given sides and

from that find x.

So, here  AC/AM=AL/AB

44/33=24/x

AL=24*33/44

AL=18

Hence,

            The missing length AL of triangle is 18.

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Answer:

Step-by-step explanation:

?

Okay, here we have this:

Here we are going to use the binomial probability equation to solve the problem, so we have the following formula:

Where:

n=total number of questions (trials)=10

k=number correct (successes)=6

n−k=number incorrect (failures)=4

p=probability of getting 1 question correct=(0.2)

q=1−p probability of getting 1 question incorrect=(0.8)

So we obtain the following:

Replacing:

The measures of the two complementary angles are 44° and 132°.

Given that the difference between the measures of two complementary angles of any given triangle is 88°, it means that one angle is 88° smaller than the other. To find the measures of the two angles, divide the sum of the difference by 2. That is given as, (88°/2) = 44°. One angle is given as  44°, and the other angle is equal to the sum of the two angles in a triangle, which is 180°, minus the first angle, which is 44°, which is equal to 136°.

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The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work