Seventh grade L.10 Percent of change: word problems 545 You have At his most recent medical checkup, a boy was 45 inches tall. Currently, he is 20% taller. How tall is the boy now? inches Submit

Answer:

Step-by-step explanation:

5.50*10%= .55

Move the decimal point to the left one spot 5.50 becomes .55

5.50-.55= $4.95 final price

The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.

Given data:

Side a = 18

Side c = 27

Angle A = 29 degrees

Step 1: Find angle B using the law of sines:

sin(B)/c = sin(A)/a

sin(B)/27 = sin(29°)/18

sin(B) = (27sin(29°))/18

B = arcsin((27sin(29°))/18)

Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 29° - B

Step 3: Find side b using the law of sines:

sin(C)/c = sin(A)/a

sin(C)/27 = sin(29°)/18

sin(C) = (27 × sin(29°))/18

b = (sin(C) × a)/sin(A)

Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:

B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees

C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees

b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8

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The question is -

Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th

Given data: side a = 18, side c = 27, angle A = 29 degrees.

The requried solution to the equation is x = -3/5.

To solve the equation, we need to simplify and isolate the variable x on one side of the equation.

Starting with:

-3x + 8x - 5 = -8

Combining like terms on the left side, we get:

5x - 5 = -8

Adding 5 to both sides, we get:

5x - 5 + 5 = -8 + 5

Simplifying, we get:

5x = -3

Finally, dividing both sides by 5, we get:

x = -3/5

Therefore, the solution to the equation is x = -3/5.

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Answer:

Hi! Nice to meet you!

Step-by-step explanation:

P.S Can I have brainliest?

Answer:3x10^0 or 3x10 to the power of 0

Step-by-step explanation:

I did the same exact one with my teacher i hope this helps you

In Isosceles ΔABC, m AB and m BC are congruent to each other.

We have,

Isosceles ΔABC is inscribed in D.

By the property of inscribed angles,

When an angle is inscribed in a circle, its measure is half the measure of the arc it intercepts.

In the case of an isosceles triangle inscribed in a circle, the base angles intercept congruent arcs, which means that they have equal measures.

Since the triangle is isosceles, the base angles are also congruent to each other.

Therefore, the two base angles are congruent and intercept congruent arcs, which means that they have the same measure.

So, we can conclude that in an isosceles triangle inscribed in a circle, the base angles are congruent, and therefore the two sides opposite to them (mAB and mBC) are congruent as well.

Hence, If isosceles triangle ABC is inscribed in circle D, then we can conclude that mAB and mBC are congruent, which means that they have the same measure.

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The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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The sum of the expression is 3g^8 - 4h - 48

Given that;

(3g^8 - 4h) + ( -6 × 8)

Expand the brackets,

3g^8 - 4h - 6 × 8

Multiply the values

3g^8 - 4h - 48

Therefore, the sum of the expression is 3g^8 - 4h - 48

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Under a majority system, if a political party wins 39% of the vote, they would likely not win a majority of the seats. They would likely win a proportionate number of seats based on their percentage of the vote.

Under a proportional representation system, a political party winning 39% of the vote would have their seat share be 39% as well.

In a majority system, the candidate or party that wins the most votes in a particular district is awarded the seat for that district. This can lead to a situation where a party that receives a minority of the overall vote can still end up with a majority of the seats if they win a majority of the districts.

On the other hand, proportional representation systems aim to ensure that the number of seats a party receives is proportional to the number of votes they receive. This means that a party that receives 39% of the vote would be awarded 39% of the seats. This system can be considered more fair as it ensures that a party's representation in the government is directly proportional to the number of votes they received.

In summary, both system have their own advantages and disadvantages, majority system can lead to a more stable government with clear majority but can be less representative of the popular will, while proportional system can be more representative but can lead to a more fragmented government with more coalition building.

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Answer:

See Below

Step-by-step explanation:

Total money = $20

Cost of one time meal = $2.30

Linear equation = $20 - $2.3(x) Where x is the number of days

No, he can't afford 9 meals because 2.3 × 9 = 20.7. Which is out of his account's money

Answer:

10.75 would be a 64 ring size in the US

Answer:

10.91% decrease

Step-by-step explanation:

98/110 x 100 = 89.090909

100 - 89.0909 = 10.909090 to 2dp is 10.91%

The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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The answer  is that a 400-troy-ounce gold ingot weighs approximately 12.4 kilograms or 27.34 pounds. This weight is equivalent to 3,110 grams or 3.11 kilograms. In summary, a 400-troy-ounce gold ingot weighs around 12.4 kilograms or 27.34 pounds and is equivalent to 3,110 grams or 3.11 kilograms.

The 400-troy-ounce gold ingot weighs, as the name suggests, 400 troy ounces. To provide some context, one troy ounce is equivalent to 31.1035 grams. Therefore, to determine the weight of the gold ingot in grams, you can perform the following calculation: 400 troy ounces x 31.1035 grams/troy ounce = 12,441.4 grams. In summary, the 400-troy-ounce gold ingot weighs 12,441.4 grams.

The weight of a 400-troy-ounce gold ingot can be calculated as follows: One troy ounce is equal to approximately 31.1 grams. The troy ounce is commonly used as a unit of weight for precious metals like gold. To find the weight of a 400-troy-ounce gold ingot, we multiply 400 by the weight of one troy ounce: 400 troy ounces * 31.1 grams per troy ounce = 12,440 grams. Since there are 1,000 grams in a kilogram, we can convert the weight from grams to kilograms:

12,440 grams / 1,000 grams per kilogram = 12.44 kilograms.

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If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should  record for Year 2 is: $1,000.

Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the  Amortization expense using this formula

Amortization expense = New overhead lighting fixtures / 2 years

Let plug in the formula

Amortization expense =  $2,000 /2

Amortization expense = $1,000

Therefore the  Amortization expense  is the amount of $1,000.

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The complete question:

On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?

The total cost of tuition, books, and fees for this student when attending college for four years will be $64651

Assuming that the annual increase of $750 per year is compounded each year

we can use the formula for the future value of an annuity to calculate the total cost of tuition, books, and fees for the four years:

\(FV = PMT \frac{((1 + r)^n - 1)}{r}\)

In this case, PMT = $15,000, r = 750/15000 = 0.05, and n = 4.

Plugging in these values, we get:

Total cost or FV = $15,000 x ((1 + 0.05)⁴ - 1) / 0.05

FV = $15,000 x(1.2155)-1)/0.05

FV = $15,000 x 0.2155/0.05

FV = $15,000 x4.31

FV = $64651

Hence, the total cost of tuition, books, and fees for this student when attending college for four years will be $64651

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Answer:

5 km/sec

Step-by-step explanation:

90km/18 sec

90/18 = 5

There is no error made in claiming that the mean temperature inside the truck is 32 degrees which is 2 degrees more than the required one.

Given, an ice cream truck aims to keep 30 degrees as the mean temperature inside its delivery truck.

one employee claims that the mean temperature inside its delivery truck is more than 30 degrees. the employee conducts a hypothesis test and rejects the null hypothesis.

The mean temperature inside its delivery truck is 32 degrees.

As, the temperature inside the delivery truck should be 30 degrees and should not be greater than 30 degrees then, there is no error made in claiming that the mean temperature inside the truck is 32 degrees which is 2 degrees more than the required one.

So, there is no error made in claiming that the mean temperature inside the truck is 32 degrees which is 2 degrees more than the required one.

Hence, there is no error made in claiming that the mean temperature inside the truck is 32 degrees which is 2 degrees more than the required one.

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The probability that it takes Jeremiah more than 6 attempts to make his first shot is 0.178.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

p = 25%

or, p = 0.25

q = 1-p

q = 1-0.25

q = 0.75

To find the probability that it takes Jeremiah more than 6 attempts is given by,

P( M > 6)

= 1 - P( M≤6)

= 1 - P\((1- P)^{M-1}\)

= 1 -  0.25 [ 1 + (0.75) + (0.75)² + (0.75)³ + \((0.75)^4\) + \((0.75)^5\)]

= 1- 0.25 [ 1 + 0.75 + 0.5625 + 0.421875+ 0.31640625 + 0.2373046875]

= 1- 0.25 [3.2880859375]

= 1- 0.822021484375

= 0.177978515625

= 0.178

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Answer:

Explanation:

There are three right angled triangles are in the diagram of three different sizes.

Identify the right angles.

In the first triangle, the right angle is angle M. In the second one, the right angle is angle K and in the third triangle, it is angle K.

Now, identify the shortest sides of each.

The shortest side in the first triangle is MJ, in the second triangle, it is JK and in the third triangle, it is MK.

In the given triangle JKM, notice that JK is the shortest side and angle K is the right angle. Write the other two tringles also in the similar form with the first two letters gives the short side and middle letter represents the right angle.

So, the similarity statement is

The factored expression is: \(11m^3 = 11 \times m \times m \times m\)

Monomials are expressions that have a single term

The monomial expression is given as:

11m^3

Factor out 11, from the expression.

So, we have:

\(11m^3 = 11 \times m^3\)

Factor out m from the expression

\(11m^3 = 11 \times m \times m^2\)

Factor out m from the expression

\(11m^3 = 11 \times m \times m \times m\)

Hence, the factored expression is:

\(11m^3 = 11 \times m \times m \times m\)

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The monomial 11m³ can be factored as follows:

11m³ = 11 × m × m × m

A monomial is an expression that is the product of constants and an integer powers of y, like 3y². The combination of monomial makes a polynomial.  

To factor a monomial means to express it as a product of two or more monomials.  For example

Notice the factored value will give the same thing as the monomial.

Therefore, let's factor 11m³ completely.

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Answer:

25.8 cubic feet

Step-by-step explanation:

Volume = l · w · h

V = (3.2)(1.3)(6.2)

V = 25.792

Answer:

The truck could drive 347.76 miles with 16.8 gal. of gas

1. I divided 229.77 by 11.1, then I multiplied that answer by 16.8.

HOPE THIS HELPS!

Answer:

15.

Step-by-step explanation:

3.75 / 25 = 15.

Answer:

a.  35%

Step-by-step explanation:

Sales = $802,000

Variable costs = 65% of sales = 0.65 x $802,000 = $521,300

Income from operations = $267,000

Contribution Margin = Sales - Variable Costs

= $802,000 - $521,300 = $280,700

Contribution Margin Ratio = (Contribution Margin / Sales) x 100

= ($280,700 / $802,000) x 100

= 35%

Therefore, the contribution margin ratio is approximately 35.02%.

Lines 16-20 suggest that the speaker imagines his future as one in which he will look back on the decision he made to take the less traveled road with a sense of regret or longing.

He states that he will be "telling this with a sigh," indicating that the memory is not a happy one. Additionally, the phrase "ages and ages hence" implies that a significant amount of time has passed since the speaker made the decision, further emphasizing the sense of regret or longing. Overall, these lines suggest that the speaker believes that taking the less traveled road has had a significant impact on his life and that he will continue to reflect on this decision in the future.

"The Road Not Taken" is a famous poem by Robert Frost, in which the speaker reflects on a decision to take a different path in the woods. The poem does not give specific details of the speaker's future but rather reflects on the idea of choices and regrets.

This question should be written as:

What do lines 16-20 tell you about how the speaker imagines his future? Explain using text evidence to support your answer.

Lines 16-20  from "The Road Not Taken:

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Answer: 0.045%

Step-by-step explanation:

With a 95% probability, 62 students should be sampled to be within 0.25 drinks of the population mean.

\(\alpha\) is the level obtained by subtracting 1 from the confidence interval and dividing by 2.

So,

\(\alpha\) = (1 - 0.95) ÷ 2 = 0.25

Now, find z in the Z-table, as z has a p-value of 1 - \(\alpha\).

As a result, z has a p-value of (1 - 0.025) = 0.975

so, z  = 1.96

Now, infer M as follows:

M = z × (σ ÷ √n) where n is the sample size and is σ the population standard deviation.

When M = 1, this is n.

According to the question, the standard deviation is roughly 1.

σ = 1

M = z × (σ ÷ √n)

0. 25 = 1.96 × (1 ÷ √n)

√n = 1.96 × (1 ÷ √n)

Square both sides,

(√n)² = ((1.96 × 1) ÷ 0.25)²

n = (7.84)²

n = 61.4656

n ≈ 62

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