Find three consecutive integers such that twice the sum of the first two is to less than three times the third

Answer:

do the butterfly method if you don't know how to do that comment and I'll show you a screenshot

Answer:

bla bla

Step-by-step explanation:

67

Answer:

D) 22

Step-by-step explanation:

y-1= -7(x-3)

y= -7x+21+1

x=0 ⇒ y-intercept is equal to:

So y -intercept is 22, option D

Answer:

22

Step-by-step explanation:

y-1 = -7(x-3)

This is point slope form

Distribute

y-1 = -7x +21

Add 1 to each side

y-1+1 = -7x+21+1

y = -7x+22

This is slope intercept form where y = mx+b and b is the y intercept

22 is the y intercept

Answer:

The values of \(m_{2}\) and \(b_{2}\) that will create a system of linear equations with no solution are \(m_{2} = -3\) and \(b_{2} = -3\).

Step-by-step explanation:

An example of a system of linear equations are two lines parallel to each other. In other words, there are two lines such that:

\(y = m_{1}\cdot x + b_{1}\) (1)

\(y = m_{2}\cdot x + b_{2}\) (2)

Where:

\(x\) - Independent variable.

\(y\) - Dependent variable.

\(m_{1}\), \(m_{2}\) - Slope.

\(b_{1}\), \(b_{2}\) - y-Intercept.

If both lines are parallel to each other, then we must observe these two conditions:

1) \(m_{1} = m_{2}\)

2) \(b_{1} \ne b_{2}\)

Therefore, the values of \(m_{2}\) and \(b_{2}\) that will create a system of linear equations with no solution are \(m_{2} = -3\) and \(b_{2} = -3\).

Answer:

m=-3 and b=-3 on ed

Step-by-step explanation:

just did it

Lan’s parents asked him to create a budget for his $1000 monthly income he determines that we would like to save for remaining amount, he can allocate 37.5% of his budget towards savings.

To determine the percentage of Ian's budget that will go towards savings, we need to subtract his expenses from his monthly income and then express the savings as a percentage of his total income.

Let's calculate Ian's expenses first:

Car payment: $325

Car insurance: $100

Fuel: $120

Cell phone bill: $80

Total expenses = $325 + $100 + $120 + $80 = $625

To find the remaining amount for savings, we subtract the total expenses from his monthly income:

Remaining amount = Total income - Total expenses

Remaining amount = $1000 - $625

Remaining amount = $375

Now, to find the percentage of his budget allocated for savings, we divide the remaining amount by the total income and multiply by 100:

Percentage of savings = (Remaining amount / Total income) * 100

Percentage of savings = ($375 / $1000) * 100

Percentage of savings = 0.375 * 100

Percentage of savings = 37.5%

Therefore, Ian plans to allocate 37.5% of his budget towards savings.

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Your question seems incomplete, the probable complete question is:

Ian's parents asked him to create a budget for his $1,000 monthly income. He determines that he would like to save the remaining amount. What percent of his budget will go towards savings?

He spend $325 on his car payment, $100 for car insurance, $120 for fuel, and $80 for his cell phone bill.

Answer:

On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down

Step-by-step explanation:

The coordinate plane is a plane formed from the intersection of the x axis (horizontal line) and y axis (vertical line). The point of intersection of these axis is known as the origin. A point can be represented on the coordinate plane using the x and y coordinates.

The x axis is to the left and right of the origin, negative points are to the left of the origin while positive points are to the right of the origin. The y axis is to the up and down of the origin, negative points are to the down of the origin while positive points are to the up of the origin.

A point in the coordinate plane is represented as (x, y).

The location of point (-3,5) is 3 units to the left and 5 units up while point (4, -3) is 4units to the right and 3 units down

Answer:

Step-by-step explanation:

Cody will need to paint 1600 square inches of surface area on the box for his art project.

Given that:

Length, L = 20 in

Width, W = 20 in

Height, H = 10 in

The surface area of each face can be calculated as follows:

Top and bottom faces: Length * Width = 20 in * 20 in = 400 in² each.

Front and back faces: Length * Height = 20 in * 10 in = 200 in² each.

Side faces: Width * Height = 20 in * 10 in = 200 in² each.

Now, let's calculate the total surface area:

Total surface area = 2 * (top and bottom) + 2 * (front and back) + 2 * (sides)

Total surface area = 2 * 400 in² + 2 * 200 in² + 2 * 200 in²

Total surface area = 800 in² + 400 in² + 400 in²

Total surface area = 1600 in²

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The complete question is given below:

Cody is painting the box shown for part of his art project. If he paints all of the surfaces, how many square centimeters will he paint? Use the net to find the surface area of the right rectangular prism.

Length, L = 20 in

Width, W = 20 in

Height, H = 10 in

The use of volunteer sampling means that the result of the survey is potentially misleading.

Volunteer sampling is a sampling technique in which each participant in the sample opts to join the research, as is the case for this problem, as each participant opted to join in the project to compare their cold lengths.

The drawback of this type of sampling is that it should contain lots of participants that share similar characteristics, such as desiring to weight/diet, and this may influence their recovery to cold. The participants also may lie, which can cause misleading results to the study.

Options to remove misleading conclusions is to use a different type of sampling, such as stratified sampling, as groups of people that are either short or long sleepers are compared to reach a conclusion.

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Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.

Value is the worth of something, based on its importance, usefulness, or desirability. It is something that has a desired quality, such as excellence, utility, or desirability. Value can be physical, such as a commodity, or intangible, such as respect, loyalty, or knowledge. Value is determined by both the individual and the society in which they live. Value can be assigned to both tangible and intangible things, such as a house, an education, or a friendship. Value is a subjective measure and can vary greatly from person to person.

The answer is -6. To evaluate f (g(2)), we need to determine what g(2) is first. Looking at the table, we can see that g(2) is 4. Therefore, we need to find the value of f(4). Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.

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Answer:

34.7

Step-by-step explanation:

Divide each number in the miles driven by the gallons used!

Answer:

third option

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Given

g(x) = \(3^{x}\) + 5 ← this represents a shift up of 5 units

Thus g(x) is the graph of f(x) translated up by 5 units

Answer:

\(\boxed{\sf{Option \: 3}}\)

Step-by-step explanation:

g(x) is translated up 5 units compared to f(x). In a vertical translation, when the graph is moved 5 units up, 5 is added to the function. When the graph is moved 5 units down, 5 is subtracted from the function. The graphs are shifted  in the direction of the y-axis.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

0

Step-by-step explanation:

The valid representation of the probability does not include 1.04.

Since 35% could be written in the percentage form i.e. 0.35. The probability could be equal to zero. The probability value should not be more than 1 like 1.04. Also 3 by 8 should be lower than 1 this represents the valid representation

Therefore, the last option is correct.

Hence, The valid representation of the probability does not include 1.04.

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Answer:

0.081

Step-by-step explanation:

To solve this question, we would use the z score formula

z score = (x-μ)/σ, where

x is the raw score = 36.32cm

μ is the population mean = 34.5 cm

σ is the population standard deviation = 1.3cm

z score = (36.32cm - 34.5cm)/1.3cm

z = 1.4

Using the normal distribution to find the z score for 1.4

P(z = 1.4) = 0.91924

Therefore, the probability that a boy has a head circumference greater than 36.32cm at birth is

P(x>36.32) = 1 - P(z = 1.4)

= 1 - 0.91924

= 0.080757

Approximately ≈ 0.081

Answer:

-6, 1.8 , 2, 5, 131

Step-by-step explanation:

Answer:

-6, 1/8, 2, 5, 131

Step-by-step explanation:

the negative is smaller then the wholes but I am not sure if the fraction is. I belive its smaller so it might be like that but not 100% sure.

Answer:

3/8

Step-by-step explanation:

We can write the entire book with the number 1. Now we can write this operation

3/8 + 1/4 + x = 1

3 + 2 + 8x = 8

5 + 8x = 8

8x = 3

x = 3/8

Step-by-step explanation:

$55 - $21=34 and to check answer do 34+21=55

david has 34 dollars less than jumps

Answer:

(11, ∞).

Step-by-step explanation:

3 (x+2)+9<6(x-3)

3x + 6 + 9 < 6x - 18

-3x < -18 - 6 - 9

-3x < -33

x > 11       (Note the inequality flips as we are dividing by a negative value).

Answer:

Answer:x=−6.274917217635375,1.2749172176353745

Step-by-step explanation:

(3(2))2=(x+2)2+x12=x2+5x+4

Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0

For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745

Answer:

19 books

Explanation:

Let the amount of books bought be x

If she spent a total of $71 after a discount of $5, the total amounshe spend on the books will be $76

If each book costs $4,

x books will cost $76

Cross multiply

1 * 76 = x * 4

76 = 4x

Rearrange

4x = 76

Divide both sides by 4

4x/4 = 76/4

x = 19

Hence she bought 19 books

Answer:

72cm

Step-by-step explanation:

Area = b times h / 2

so 12 times 12 /2

144 / 2

72

Answer:

1/3 × 4/3

Step-by-step explanation:

because

if a/b ÷ c/d

the behind one > c/d >must change to > d/c

so a/b × d/c

Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

The number of each type of tickets sold are;

180 adults tickets

260 students tickets

60 children tickets

Let us solve to get the solution using 3 variables.

Let c be the number of children's tickets

Let s be the number of student tickets

Let a be the number of adult tickets

We are told that the total number of tickets was 500

Thus;

a + s + c = 500   ------(1)

The number of adult tickets was 3 times the number of children's tickets. Thus;

a = 3c   ------(2)

The total cost of the tickets was $8070. Thus;

18a + 15s + 12c = 7860  ----(3)

We conclude that solving these three equations simultaneously gives us;

a = 180 adults

s = 260 students

c = 60 children

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Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

   2W + 2L = 174

2(2L) + 2L = 174

            6L = 174

              L = 29 ft

W = 2(29) = 58 ft

The difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

The third option is correct.

What is the standard deviation?

Standard deviation is a statistical measure of the spread of a dataset, defined as the square root of its variance. It is a way to quantify the amount of variation or dispersion of a set of data values.

Percentage of Dogs getting their teeth cleaned = 48% = pD

Percentage of Cats getting their teeth cleaned = 35% = pC

Number of Dogs selected = nD = 25

Number of Cats selected = nc = 32

As the sample sizes are large enough, we can apply Central Limit Theorem

According to Central Limit Theorem for proportions –

pD-hat ~ Normal(pD, {pD*(1-pD)}/nD)

Thus, pD-hat ~ Normal(0.48, 0.009984)

Similarly,

pC-hat ~ Normal(pC, {pC*(1-pC)}/nC)

Thus, pC-hat ~ Normal(0.35, 0.0071094)

Now if X ~ N(E(X), Var(X)) and Y ~ N(E(Y), Var(Y))

then X -Y ~ N(E(X)-E(Y), Var(X)-Var(Y)) (If X and Y are Independent)

Thus,

pD-hat - pC-hat ~ Normal(0.48-0.35, 0.009984 – 0.0071094)

pD-hat - pC-hat ~ Normal(0.13, 0.0028746)

Thus, Standard Deviation of pD-hat - pC-hat = (0.0028746^0.5) = 0.0536 that is 0.054 approximately

Hence, the difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

Third Option is correct.

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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