Ted weighs 120 pounds and is gaining ten pounds each month. Bill weighs 150 pounds and is gaining 4 pounds each month. how many months, m, will it take for bill to weigh the same as Ted?

Answer:

infinite solutions

Step-by-step explanation:

8(j-4)=2(4j-16)

Distribute

8j - 32 = 8j - 32

Subtract 8j from each side

8j-8j -32 = 8j-8j -32

-32 = -32

This is always true so there are infinite solutions

Answer:

All Real Numbers Are Solutions

Explanation:

8(j − 4) = 2(4j − 16)

[ Simplify both sides of the equation ]

8(j − 4) = 2(4j − 16)

(8)(j) + (8)(−4) = (2)(4j) + (2)(−16) (Distribute)

8j + −32 = 8j + −32

8j − 32 = 8j − 32

[ Subtract 8j from both sides ]

8j − 32 − 8j = 8j − 32 − 8j

−32 = −32

[ Add 32 to both sides ]

−32 + 32 = −32 + 32

0 = 0

Therefore, all real numbers are solutions.

Answer:

No solution

Step-by-step explanation:

if you replace the y with -2x-6 into the first equation, you will get rid of the x's which it gives you the hint that there is no solution.

We can say that P(X > 6) = 1, or 100%, rounded off to two decimal places.

The probability density function (PDF) of the lifetime of the battery is given by:

f(x) = 5, for x > 2

To find the probability that the battery lasts longer than 6 months, we need to calculate the integral of the PDF from x = 6 to infinity:

P(X > 6) = ∫6∞ f(x) dx

Substituting the PDF, we get:

P(X > 6) = ∫6∞ 5 dx

Integrating, we get:

P(X > 6) = [5x]6∞

Evaluating the expression at x = ∞ and x = 6, we get:

P(X > 6) = [5(∞)] - [5(6)]

Since ∞ is not a number, we say that P(X > 6) is infinite, which means that the probability that the battery lasts longer than 6 months is very high but not equal to 1. However, if we consider a practical situation, we can round off the result to two decimal places. In that case, we can say:

P(X > 6) ≈ 1.00

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The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.

A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.

2/5 = (2 × 2) / (5 × 2) = 4/10

Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.

The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.

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Answer: she spent 10 hours working in her aunt's store last week.

Step-by-step explanation: Let x represent the number of hours that Lee spent working at the movie theater.

Let y represent the number of hours that Lee spent working at her aunt's store.

Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that

x + y = 30

Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that

9x + 6y = 240 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

9(30 - y) + 6y = 240

270 - 9y + 6y = 240

- 9y + 6y = 240 - 270

- 3y = - 30

y = - 30/ - 3 = 10 hours

To determine the percentage of SKUs (Stock Keeping Units) that have line fill rates of less than 100 percent, we need more specific information about the data. Line fill rate refers to the proportion of orders or requests for a specific SKU that are filled completely from available stock.

If we have data on the line fill rates of each SKU, we can calculate the percentage by dividing the number of SKUs with line fill rates less than 100 percent by the total number of SKUs, and then multiplying by 100.For example, if we have data on 500 SKUs and 250 of them have line fill rates less than 100 percent, the percentage would be (250/500) * 100 = 50 percent.

Therefore, without specific data on the line fill rates of SKUs, it is not possible to determine the exact percentage.

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Given two variables x and y, y is directly proportional to x (x and y vary directly, or x and y are in direct variation) if there is a non-zero constant k such that

   y = kx,

The relation is often denoted, using the ∝ symbol, as

   y ∝ x

in this case k = 5/1

To use the normal approximation for a test of two proportions, n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2) must all be greater than or equal to 5.

This is because the normal distribution assumes that the sample size is large enough to approximate the binomial distribution, and the rule of thumb is that each cell (n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2)) should have at least 5 expected counts. If any of these cells have fewer than 5 expected counts, then the normal approximation is not reliable and a more appropriate test should be used. It is important to note that this is just a rule of thumb, and other factors such as the size of the effect and the desired level of significance should also be considered when deciding on a statistical test.

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~Answer~
_____________________________________

1. yes ±4

2. no, it's between 9 and 4

3. no, it's between 25 and 9

4. yes ±7

5. yes ±11

6. no, it's between 81 and 64

~Step-by-step explanation~
_____________________________________

ok I'll walk you through this
1. x²=16
x = ±4 because (-4)(-4) is 16 and (4)(4) is also 16
4. x²=49
x=±7 because (-7)(-7)=49 and (7)(7) is also 49
5. x²=121
x=±11 because (-11)(-11)=121 and (11)(11)=121.

_____________________________________

Hope this helps and have a good day!

P.S. Brainliest :)

Answer:

142°

Step-by-step explanation:

A. Up

Parabolas are graphs that make U-shapes and are formed from quadratic equations.

Vertical Parabolas

There are 2 different types of parabolas: vertical and horizontal.

If the x-value is squared, then the parabola is vertical. So, this graph must open up or down.

Positive A-Value

The a-value is the coefficient before the squared term. In a vertical parabola, the graph opens up if the a-value is positive. On the other hand, the graph opens down when the a-value is negative.

In this case, the graph is a vertical parabola that opens up. This means that the range will have a minimum value but no maximum.

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

\(\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }\)

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

=  1.310

E. At 0.1, we can conclude that  t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

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We now have three equations, so we can solve them.

Let's define the length of the 3 boards in terms of x:

F=x

S=2x-3

T=2

F+S+T =26

x+2x-3+2 =26

3x =26+1=27

x =27/3 = 9 feet for First section

2x-3 =18-3 = 16 feet = Second

2 = Third

9+16+2 = 27

27 is the length of the shortest piece.

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To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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Answer:

Step-by-step explanation:

Givens

OF =     RF

OU = UR

Draw a line from U to F

UF = UF                              Reflexive property.

Solution

ΔOUF = ΔRUF                    SSS

<O = < R                              Congruent parts are congruent when the triangles are congruent.

Answer:

Hai

Step-by-step explanation:

I guess it's should be the first option

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Answer:

1

Step-by-step explanation:

The slope can be found using the RISE/RUN equaton.

Looking at both graphs we see that they are parallel so that tells us that they have the same slope.

We can count how many boxes up and then how many boxes right this line goes to find the slope.

We also know that the slope is positive because the lines are increasing from left to right.

Answer:

1.2 kilometers

Step-by-step explanation:

0.3x4=1.2 kilometers

Answer:

1.2 kilometers away

Step-by-step explanation:

3/10 x 4

The area rolled during one complete revolution of the lawn roller is approximately  38 square feet (nearest whole number).

To find the area rolled, we need to calculate the lateral surface area of the cylindrical roller. The formula for the lateral surface area of a cylinder is given by A = 2πrh, where π is the mathematical constant pi (approximately 3.14159), r is the radius, and h is the height (length) of the cylinder.

Given that the radius of the roller is 18 inches, we need to convert it to feet by dividing it by 12 since there are 12 inches in a foot. So the radius (r) becomes 18/12 = 1.5 feet.

The height (length) of the roller is given as 4 feet. Therefore, h = 4 feet.

Plugging the values into the formula, we have A = 2π(1.5)(4) = 12π square feet.

Now, to find the area rolled during one complete revolution, we multiply the lateral surface area by the number of revolutions, which is 1. So the total area rolled is 12π square feet.

Using the calculator value of π, which is approximately 3.14159, we can approximate the area rolled as 12(3.14159) = 37.69908 square feet.

Rounding to the nearest whole number, the area rolled during one complete revolution of the lawn roller is approximately 38 square feet.

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Answer:

Hypotenuse leg

Step-by-step explanation:

Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Answer:

HL im sorry if im  wrong

Step-by-step explanation:

please mark brainleast

Answer: A

Step-by-step explanation:

The probability that the total number of dots on the 30 fair y-sided dice is less than 90 can be calculated using probability theory.

To determine the probability, we need to consider the possible outcomes and their likelihood. Each fair y-sided dice can show values from 1 to y with equal probability. The total number of dots on the 30 dice is the sum of the individual values obtained on each dice.

Since the dice are fair, the probability distribution follows a uniform distribution. The total number of dots can range from 30 (when all dice show a value of 1) to 30y (when all dice show the maximum value of y).

To calculate the probability of the total number of dots being less than 90, we need to sum the probabilities of all the favorable outcomes (sums less than 90) and divide it by the total number of possible outcomes.

The specific calculation depends on the number of sides on each dice (y). If y is known, we can calculate the probability by considering the various combinations of dice values that result in a sum less than 90. The formula for probability is the number of favorable outcomes divided by the total number of possible outcomes.

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It is possible to find DH based on the stated theorem

This rule states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Mathematically:

Given the following parameters

CG=4 in

CH=5 in

GE=6 in

Substitute to check if we can find DH

(4+6)*4 = (5+DH)*5

10*4 = 25 + 5DH

40 - 25 = 5DH

15 = 5DH
DH = 3in

Therefore it is possible to find DH based on the stated theorem

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Answer:

\(\displaystyle m=\frac{3}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

After solving we get (f.g)(5)=-115

But the correct option is not given in the question.

Step-by-step explanation:

We are given:

\(f(x) = 4x+3\\g(x)=-2x+5\)

We need to find (f.g)(5)

First we will multiply f and g to find (f.g) i.e

\((f.g)(x)= f(x) \times g(x)\\(f.g)(x) = (4x + 3)(-2x + 5)\\(f.g)(x)=4x(-2x+5)+3(-2x+5)\\(f.g)(x)=-8x^2+20x-6x+15\\(f.g)(x)=-8x^2+14x+15\\\)

Now putting x=5

\((f.g)(x)=-8x^2+14x+15\\Put \ x=5\\(f.g)(5)=-8(5)^2+14(5)+15\\(f.g)(5)=-8(25)+70+15\\(f.g)(5)=-200+70+15\\(f.g)(5)=-115\)

So, after solving we get (f.g)(5)=-115

But the correct option is not given in the question.

Answer: just multiply 9 and y together: 9 x y

Answer:

f = 65

Setup cost = 65

Step-by-step explanation:

Given the equation : 201.50=f+6.50(21)

Solving for f:

201.50 = f + 136.50

201.50 - 136.50 = f

f = 65

The equation above is written in the form a slope intercept function where,, 6.50 is the gradient and X equals the number of shirts, The total cost of printing is 201.50

f is the intercept and represents the initial fee or setup cost. Hence, the setup. Cost = 65

Answer:

x≤−13

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable