Can someone please tell me which one is correct??? The first screenshot is the question and the second screenshot is the options I have. I am in dire need of help

Answer:

(a) $1.98

(b) $6.30

Step-by-step explanation:

(a)

The new value =

1.80 + The value of the percentage increase =

1.80 + (10% × 1.80) =

1.80 + 10% × 1.80 =

(1 + 10%) × 1.80 =

(100% + 10%) × 1.80 =

110% × 1.80 =

110 ÷ 100 × 1.80 =

110 × 1.80 ÷ 100 =

198 ÷ 100 =

1.98

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 1.80 =

1.98 - 1.80 =

0.18

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

10% × 1.80 =

10 ÷ 100 × 1.80 =

10 × 1.80 ÷ 100 =

18 ÷ 100 =

0.18

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

1.80 increased by 10% = 1.98

The actual change:

1.98 - 1.80 = 0.18

(b)

Calculate the New value
The new value =

42.0 + The value of the percentage increase =

4.20 + (50% × 4.20) =

4.20 + 50% × 4.20 =

(1 + 50%) × 4.20 =

(100% + 50%) × 4.20 =

150% × 4.20 =

150 ÷ 100 × 4.20 =

150 × 4.20 ÷ 100 =

63,000 ÷ 100 =

630

(but its as a dollar so its 6.30)

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 4.20 =

6.30 - 4.20 =

2.10

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

50% × 4.20 =

50 ÷ 100 × 4.20 =

50 × 4.20 ÷ 100 =

21,000 ÷ 100 =

210

(but its as a dollar so its 2.10)

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

4.20 increased by 50% = 6.30

The actual change:

6.30 - 4.20 = 2.10

Answer:

x = -8, 1.

Step-by-step explanation:

x^2 + 7x - 8 = 0

(x + 8)(x - 1) = 0

x = -8, 1.

Answer:

-8 and 1

Step-by-step explanation:

Quadratic expression.

A quadratic expression is an expression with 2 as the highest power of the unknown.

Solving the question:

[tex]x {}^{2} + 7x - 8 \\ x {}^{2} + 8x - x - 8 \\ x(x + 8) - 1(x + 8) \\ (x - 1)(x + 8) \\ x = 1 \: or \: x = - 8[/tex]

Answer:

b = -a

Step-by-step explanation:

Since a and b are equally distant to zero but in opposite directions, a and b are opposites, or additive inverses.

The sum of additive inverses is zero.

a + b = 0

b = -a

Snow reaches at a 15 inches after 16 hours. and 8 inches melt in next 6 hours.

According to the statement

we have a given that there was 1 inch snow on the ground before the snowstorm starts.

then snow fell at constant rate of 3 inches every 2 hours until the snow level reaches at 12 inch had fallen

It means after that there was 13 inch snow on the ground.

and in 1 hour only 1.5 inches snow increases

and if snow takes 2 hours to increase at 3 inches then

it takes 10 hours to reach at 12 inches.

So, snow falls for 10 hours to increase at 12 inches.

And then the snow falls at constant rate of 1 inch per hour for 2 hours.

It means now snow reaches at a 15 inches after 16 hours.

Then sun melt the snow at a 4 inches per 3 hours and sun came for 6 hours then

it means now the level of snow reduced and came at the 7 inches.

because sun reduced 8 inches snow in 6 hours.

So, this is the data collected by a person.

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1) [tex]\overline{AB} \perp \overline{BD}[/tex], [tex]\overline{AB} \cong \overline{DB}[/tex], [tex]\overline{AC} \cong \overline{DE}[/tex] (given)

2) [tex]\angle ACB[/tex] is a right angle (perpendicular lines form right angles)

3) [tex]\triangle ABC[/tex] and [tex]\triangle BED[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\therefore \triangle ACB \cong \triangle DEB[/tex] (HL)

5) [tex]\therefore \angle ACB \cong \angle DEB[/tex] (CPCTC)

Answer:

Ralph Warren purchased 27 shares of stock at 16 3/8 per share. He paid a $27.50 brokerage fee. He later sold all 27 shares at 17 5/8 and paid a $28.75 brokerage fee. (36) What was his total cost for the stock including his brokerage fee? (37) What did he receive from the sale of the stock after he paid the brokerage fee? (38) Did he have a capital gain or loss? (39) How much was the gain or loss? (40) What was the net change from 16 3/8 to 17 5/8?

Step-by-step explanation:

The maximum value of the product of two number whose difference is 14 is 49.

The maximum or minimum value of a function is the highest or lowest value of that function.

Let the numbers be x and y

Their product f(x,y) = xy

Since their difference is 14, x - y = 14

So, x = 14 - y

Substituting x into f(x,y), we have

f(x,y) = xy

= (14 - y)y

= 14y - y²

To find the maximum or minimum value of f(x,y) we differentiate it with respect to y and equate to zero.

So, f(x,y) = f(y) = 14y - y²

df(y)/dy = d(14y - y²)/dy

df(y)/dy = d(14y)/dy - dy²/dy

df(y)/dy = 14 - 2y

Equating to zero, we have

df(y)/dy = 0

14 - 2y = 0

14 = 2y

y = 14/2

y = 7

To determine if this gives a maximum or minimum for f(y) = f(x,y), we differentiate f'(y) again

So, df'(y)/dy = d(14 - 2y)/dy

= d14/dy + d(-2y)/dy

= 0 - 2

= -2 < 0.

Since f"(y) = -2 < 0, then y = 7 gives a maximum for f(x,y)

So, since y = 7,

x = 14 - y = 14 - 7 = 7

So, f(x,y) is maximum at x = 7 and y = 7

So, f(7,7) = 7 × 7

= 49

So, the maximum value of the product of two number whose difference is 14 is 49.

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The slope of diagonal PS is  -1 and the slope of diagonal QR is 1 based on the information about the coordinate plane.

Step 1: Calculate the slope of the diagonals.

The slope of diagonal PS is  -1

The slope of diagonal QR is 1

Step 2: Calculate the midpoint of the diagonals.  

The midpoint of PS is (2,2)

The midpoint of QR is  (2,2)

The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same midpoint

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Answer:

1. The slope of diagonal PS is -1.

2. The slope of diagonal QR is 1.

3. The midpoint of PS is (2,2).

4. The midpoint of QR is (2,2).

5. The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same midpoint.

Step-by-step explanation: I just did it on edge 2023. Hope this helps!

The value of equation 4-2(x+7)=3(x+5) is that x=-5/7.

Given equation 4-2(x+7)=3(x+5)

We are required to  solve the equation for the value of variable x.

Equation is relationship between two or more variables expressed in equal to form.Equation of two variables looks like ax+by=c. It can be a linear equation,quadratic equation, cubic equation. It can be solved for finding the value of variables.

The given equation is 4-2(9x+2)=3(x+5)

It is a linear equation.

We have to first remove the brackets by multiplying the numbers to inside numbers.

4-18x-4=3x+15

Now collect variable x at one end and constant at other end.

-18x-3x=15-4+4

-21x=15

x=-15/21

x=-5/7

Hence the solution of equation 4-2(x+2)=3(x+5) is that x=-5/7.

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Estimate the distance between points G and I with a compass and sketch an arc from point V which bisects the earlier arc U.

To copy an angle we observe the subsequent steps,

1). Mark a working line with the help of a straightedge.

2). Now we set a point S as the vertex of the angle.

3). Create an arc with a radius 'r' (any length ) from vertex S which bisects the working line V.

4). With the exact radius we mark an arc from point E which bisects the line ED and EF at G and H respectively.

5). Mark an arc from point G which bisects line EF at I.

6). Estimate the distance between points G and I with a compass and sketch an arc from point V which bisects the earlier arc U.

7). Now join the points S and U.

Therefore we copy any angle.

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Answer:

127°

Step-by-step explanation:

180°-53°=127°

Angle on a straight line is equal to 180°

In Bimodal Distribution two nonadjacent values occur more frequently than any other values in a set of data.

According to the statement

we have to tell about the that type of distribution in which two nonadjacent values occur more frequently than any other values in a set of data

A bimodal distribution has two peaks. In the context of a continuous probability distribution, modes are peaks in the distribution.

and from this definition we have clear that the in this distribution the values are repeated.

it shows the probability distribution with two peaks in the graphical mode.

Bimodal distribution show repeated value.

it is used in many types of data representation because of two peaks graphical representation than the simple graph.

it is the easiest method than the others distributions.

So, In Bimodal Distribution two nonadjacent values occur more frequently than any other values in a set of data.

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Answer:

The system of equations y=14-2x and 6x+3y=42.

Step-by-step explanation:

Please see attachment to see the answer as a graph.

Hope this helps!

Answer:

see image

Step-by-step explanation:

see image. We can use the given info and definition of isosceles (congruent sides) and reflexive property (something is congruent to itself) to prove (i) by SSS.

The using "Corresponding Parts of Congruent Triangles are Conguent" (CPCTC) to get more info to prove (ii) by SAS

Answer:

39

Step-by-step explanation:

I assume the father's age is a 2-digit number. He is not 9 years old or younger, and he is not 100 years old or older.

The sum of the digits of a two-digit number goes up by 1 from one number to the next unless the number ends in 9.

For example, from 17 to 18, the sum of the digits goes from 8 to 9.

If the number ends in 9, for example, 29, the digits add to 11. Then the next number is 30, and now the sum of the digits is 3, which is less than 11.

The father's age now is a number whose sum of digits is not only greater than the sum of the digits next year, but it is 3 times greater.

Let's look at 2-digit number and the next number and the sum of their digits.

19, 20; sums: 10, 2; 10/2 = 5, not 3

29, 30; sums: 11, 3; 11/3 ≠ 3

39, 40; sums: 12, 4; 12/4 = 3

Answer: The father is 39 years old.

Answer: 39 years

Step-by-step explanation:

The father says that adding both of the digits in his age will be 3 times greater than adding both digits one year later. Before we even start answering the problem, this tells us that the father's age has 2 digits in it.

Let's represent the 10's digit with x, and the 1's digit with y. If the father's age was 45, for example, x would be 4 and y would be 5.

Let's first make an equation to represent this situation:

The sum of the digits of the father's age would be represented by x + y, as x and y are the 10's digit and 1's digit respectively.

The father's age next year would be one greater than the current year, which makes y become y + 1. Then, the sum of the digits would be x + y + 1.

Now, we must make the first equation 3 times larger than the second and solve for the sum.

[tex]x + y = 3(x+y+1)\\ x+y=3(x+y)+3\\ 1(x+y)-3(x+y)=3\\ -2(x+y)=3\\ x+y=\frac{3}{-2}=-\frac{3}{2}[/tex]

However, we can neither have a fraction or a negative as a sum of two digits in an age, as digits are always positive integers from 0 to 9.

This flaw came from the assumption that after 1 year, the sum of the digits will be x + y + 1. This isn't always true, as any number with its 1's digit of 9 turns into 0 the next year, and not 10. Instead, the x value increases by 1.

For example, someone the age 69 becomes 70 the next year, x increases by 1 and y becomes 0.

Let's make a new equation to try and see this.

We know that his current age has to have y = 9 for his new age to be y = 0. Therefore, the current sum of digits is x + 9.

The next year, we know that the 10's place will increase by 1 and the 1's place becomes 0. Therefore the sum of digits is x + 1 + 0, or x + 1.

Since the current sum of digits is 3 times greater than the sum next year, let's multiply the second equation by 3 to get equality. We just need to calculate the 10's digit, as the 1's digit is already 9.

[tex]x+9 = 3(x+1)\\ x+9=3x+3\\ 9=2x+3\\ 6=2x\\ x=3[/tex]

Since the 10's digit (or x) is 3 and the 1's digit (or y) is 9, the father's age is 39, and he will turn 40 next year.

The probability in a normal distribution is approximately 90% percent.

According to the statement

we have given that the

Probability of the more three standard deviations and we have to find the percentage  in a normal distribution.

We know that the

A normal distribution is a type of continuous probability distribution for a real-valued random variable.

So,  In the presence of a more than three standard deviations the normal distribution is about 95%.

Because in the normal distribution is 95% due to the empirical rule.

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution.

So, The probability in a normal distribution is approximately 90% percent.

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Answer:

21 and a third cups bxisjsbdn

Answer:

B

Step-by-step explanation:

44/77

=0.55

The value of positive integers in the set are 16.

According to the statement

we have given that the there is a set of numbers from 1 to n and we have to find that the how many integers in this set. and there is one condition that the numbers in the set are less than or equal to 24.

So, For this purpose,

Since [tex]$1 + 2 + \cdots + n = \frac{n(n+1)}{2}$[/tex]

the condition is equivalent to having an integer value for [tex]$\frac{n!} {\frac{n(n+1)}{2}}$.[/tex]

This reduces, when [tex]$n\ge 1$[/tex], to having an integer value for [tex]$\frac{2(n-1)!}{n+1}$[/tex]

This fraction is an integer unless n+1 is an odd prime. There are 8 odd primes less than or equal to 24,

so there are 24-8 = 16.

So, The value of positive integers in the set are 16.

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26.8% of examinees will score between 600 and 700.

This question is based on z score concept.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

[tex]z={x-\mu \over \sigma }[/tex]

where:

μ is the mean

σ is the standard deviation of the population

Given:

μ = 560

σ = 90

For

600≤ X≤700

for x = 700

Z score =x - μ/σ

=(700 - 560)/90

      = 1.55556

P-value from Z-Table:

P(560<x<700) = P(x<700) - 0.5 = 0.44009

for x = 600

Z score =x - μ/σ

=(600 - 560)/90

      = 0.44444

P-value from Z-Table:

P(560<x<600) = P(x<600) - 0.5 = 0.17164

∴ P(600<x<700) = P(560<x<700) - P(560<x<600)

                           = 0.44009 - 0.17164

                          =0.26845

∴26.8% percentage of examinees will score between 600 and 700.

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Answer:

x - 3 > 15

Step-by-step explanation:

Answer:

398.2 cm^2

Step-by-step explanation:

[tex]\frac{270}{360}[/tex] * [tex]169\pi[/tex] ≈398.2 cm^2

Answer: the answer is c.

Step-by-step explanation:

Answer:

(x+9) (x-8)

Step-by-step explanation:

Edmentum/Plato

The possible outcomes are WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL

The given parameters are:

Coin = Head (H) and Tail (T)

Marble = W, B, B, B, R, R

See attachment for the tree diagram

From the tree diagram, we have the following possible outcomes

WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL

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The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

                                          L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

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Answer:c

Step-by-step explanation:

Answer:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -114

Step-by-step explanation: