I need help on this:-1(1 + x) = 0 - 5x

The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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The  best measure of center for the data shown is the median, and its value is 17.

The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:

10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Since the data set has an odd number of values, the median is the middle value, which in this case is 17.

Therefore, the best measure of center for the data shown is the median, and its value is 17.

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Answer:

Step-by-step explanation:

511 * 637 = 500 * 600

              = 300000

511. Here ten's place is 1 and its <= 5. So, it is 500

637. Here ten's place is 3 and its <= 5. So, it is 600

Answer:

300,000

Step-by-step explanation:

Rounding so that a number only has 1 nonzero digit means that you should round to the nearest hundred. Remember when rounding look to the digit to the right of where you are rounding to, if that is 4 or less round down and if it is 5 or greater round up. So to round 511 look at the tens place, since it is less than 4 it rounds to 500. To round 637 look at the tens place, since it is also less than 4 round down to 600. Then to multiply 500 x 600 just multiply the first digits, 5 x 6=30, then add the zeros. In total there were 4 zeros in the estimated equation so the final answer would be 300 plus four zeros.

So 500 x 600=300,000

Answer:

4 more hours

Step-by-step explanation:

wednesday+thursday=7

monday+tuesday=3

7-3=4

The probability that at most 2 of the next 10 callers have to wait more than 8 minutes is the sum of the probabilities of 0, 1, or 2 callers having to wait for more than 8 minutes which is 0.810

The probability that at most 2 of the next 10 callers having to wait can be defined using the expression :

P(X ≤ 2) = P(0) + P(1) + P(2)

Using the individual probabilities given by the histogram attached :

P(X ≤ 2) = 0.181 + 0.345 + 0.284

P(X ≤ 2) = 0.810

Therefore, the probability that at most 2 callers have to wait more than 8 minutes is 0.810

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The measure of angle IHE is 23°.

Since DF and GI are parallel, we know that angle HJF is congruent to angle GHJ. Therefore, we have:

mHJF = mGHJ = 134°

We can now use this information to find the measure of angle IHE. To do this, we need to use the fact that the sum of the angles in a straight line is 180°. Since H, J, F, and I lie on a straight line, we have:

mHJF + mFJI + mIHE = 180°

Substituting the values we know, we get:

134° + mFJI + mIHE = 180°

Simplifying the equation, we get:

mFJI + mIHE = 46°

We still need to find the measure of angle FJI. To do this, we can use the fact that the angles in a triangle add up to 180°. Triangle GHJ is a straight line, so its angles add up to 180°. Therefore, we have:

mGHJ + mHJF + mFJI = 180°

Substituting the values we know, we get:

134° + mFJI + mFJI = 180°

Simplifying the equation, we get:

2mFJI = 46°

Dividing both sides by 2, we get:

mFJI = 23°

Finally, we can substitute this value back into our earlier equation to find the measure of angle IHE:

mFJI + mIHE = 46°

23° + mIHE = 46°

Subtracting 23° from both sides, we get:

mIHE = 23°

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Complete Question:

If DF and GI are parallel lines and mGHJ = 134°, what is mIHE?

There is 15% in the premium.

From the Latin word "per centum," which meaning "by the hundred," the word "percentage" was borrowed. The denominator of percent's is 100, making them fractions. In other words, it is the relationship between a component and a whole in which the value of the entire is consistently set to 100. The value of the entire is always 100 in a percentage, which is a ratio or fraction. Sam, for instance, would have received a score of 30 out of 100 on his arithmetic test if he received a 30%. When expressed as a ratio, it is written as 030:10 and as a fraction, 30/100. An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.

First six-month auto insurance = $658

Renewal premium = $756

Change in the insurance = $98

percentage of $98 from $658

= 15%

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Answer:

The answer is x=3 and the extraneous is x=-1

Step-by-step explanation:

Answer:

8 + x

Step-by-step explanation:

She started with 8 entries.

She added x entries.

The total now is the sum of 8 and x.

Answer: 8 + x

Mary Lou Mason's total taxes on her purchase would be $1.37.

Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.

Mary Lou Mason's total purchase was $19.14.

To calculate the total taxes for her purchase, we can use the following formula:

Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)

Therefore, the total taxes for Mary Lou Mason's purchase would be:

Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)

Tax = (0.065 x 19.14) + (0.015 x 19.14)

Tax = 1.24 + 0.13

Tax = $1.37

Mary Lou Mason's total taxes on her purchase would be $1.37.

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Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

The team has failed to meet his quality goal of achieving a quality score above 0.95 in the last four weeks.

The table shows the weekly goals and their respective scores:

Weekly Goals:

Job Satisfaction Score > 4.50, Absence Rate ≤ 0.03, Quality Score > 0.95, Output Score > 9Week Job Sat Score

To compare the quality score for the past four weeks, we have:

Quality Score in Week 2 = 0.88

Quality Score in Week 3 = 0.89

Quality Score in Week 5 = 0.92

Quality Score in Week 6 = 0.83

Quality Score in Week 7 = 0.91

Quality Score in Week 8 = 0.92

Quality Score in Week 9 = 0.83

Since, the goal was Quality Score > 0.95,

To see how your team is doing against your quality goals over the last four weeks, you need to compare your quality score each week to your goal of 0.95. The Quality Scores for the past 4 weeks are:

Week 23: 0.88

Week A: 0.89

Week 56: 0.90

Week 78: 0.92

We are counting quality scores each week with a goal of 0.95. increase. , you can see that none of the quality values ​​meet or exceed the target.

As a result, the team has failed to meet his quality goal of achieving a quality score above 0.95 in the last four weeks.

It can be observed that the team was not able to achieve the quality goal in any of the weeks (Week 2 to Week 9).

Therefore, it can be concluded that the team was not able to achieve the quality goal in the past four weeks.

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Answer:

f(x) = 13

Step-by-step explanation:

f(x) = 7 means that x = 7

Plug this in:

3(7) - 8

21 - 8

13

f(x) = 13

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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the values from a to g are 140

Answer:

D

Step-by-step explanation:

The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.

Now when no letters are repeated:

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.

So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes

if letters can be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.

So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes

if adjacent letters cannot be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.

So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes

Hence the total number of codes as calculated by permutation and combination is 1280.

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The derivative of y with respect to x in the equation is: dy/dx = -88x^7 / (132x^21y + 3y^2)

It should be noted that to find dy/dx, we need to differentiate both sides of the equation with respect to x, using the chain rule for the second term:

11x^8 + 6x^22y + y^3 = 18

Differentiating both sides with respect to x:

(11x^8)' + (6x^22y)' + (y^3)' = 0

Using the power rule, we get:

88x^7 + 132x^21y dy/dx + 3y^2 dy/dx = 0

Now, we can factor out dy/dx:

dy/dx (132x^21y + 3y^2) = -88x^7

dy/dx = -88x^7 / (132x^21y + 3y^2)

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Answer:

11

Step-by-step explanation:

x = -3

Substitute -3 with x

________________________

* = Multiplying

(-2*-3) + 5

= 6 + 5

= 11

We can see from the question that we have a case of the transformation of the absolute value:

Then this function can be represented as:

This is the parent function.

Therefore, to obtain the transformed function from this parent function, we can proceed as follows:

1. We can translate 4 units to the right the parent function:

And we obtain:

2. Now, we can reflect the resulting function across the x-axis:

And we will get:

3. Finally, we need to translate the function 1 unit downward as follows:

And we have:

Which is the graph of the function in the question.

Therefore, in summary, the equation for the graph is:

[Option b]

The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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Answer: 1.6

Step-by-step explanation:

each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces

Answer:

shown below

Step-by-step explanation:

golf balls per ounce = 5/8 or 0.625

ounces per gold ball = 8/5 or 1.6

Answer:

There is no table, but here's a formula;

48 miles multiplied by x amount of gallons

Step-by-step explanation:

84.27 square inch is the lateral surface area of cone.

All of an object's sides, excluding its base and top, are considered its lateral surface. The size of the lateral surface is referred to as its area. This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area. A figure's lateral area consists solely of the non-base faces. The lateral surface area of several forms, such as a cuboid, cube, cylinder, cone, and sphere, is discussed in this article.

Given,

Height = 12 inches

Diameter = 4.4 inches

Radius = 2.2 inches

Lateral surface area:

πr√h² + r²

3.14 × 2.2 √(12)² + (2.2)²

3.14 × 2.2 √144 + 4.84

3.14 × 2.2 √148.84

3.14 × 2.2(12.2)

3.14 × 26.84

84.27

84.27 square inch is the lateral surface area of cone.

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