If a number is multiplied by 8 and 15 is subtracted from the product, the result is 41. What is the number?

Answer:

12 bananas

9 apples

18 pears

Step-by-step explanation:

You are tripling the recipe.

10 x 3 = 3

4 x 3 = 12

3 x 3 = 9

6 x 3 = 18

Answer:

6.65

Step-by-step explanation:

7- 0.35 = 7.00- 0.35 = 6.65

Answer:

A- Mother Nature

Step-by-step explanation:

Mother Nature= $.40 per pound

That is better than all others

Answer:

Step-by-step explanation:

CDF of a uniform distribution: (x-a)/(b-a)

.75=(x-8.82)/(27.17-8.82)

x=22.5825= 22.58

Answer:

\(\huge\boxed{\sf x = -14}\)

Step-by-step explanation:

4(x + 2) = 3(x - 2)

4x + 8 = 3x - 6

4x - 3x + 8 = -6

x + 8 = -6

x = -6 - 8

\(\rule[225]{225}{2}\)

Answer:

b

Step-by-step explanation:

The correct equation for Luis to use is B. The equation is 12.75h + 100 = 7.50h + 80, which sets Luis's savings equal to Hector's savings. Option C is correct.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The logical first step to find the solution is to subtract 7.50h from both sides of the equation using the subtraction property of equality. This step isolates the variable term, 5.25h, on one side of the equation:

12.75h + 100 - 7.50h = 80

5.25h + 100 = 80

By subtracting 7.50h from both sides, we obtain an equation that is easier to solve. Now, we can continue to isolate the variable term by subtracting 100 from both sides:

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Answer:

Step-by-step explanation:

You want the least common multiple (LCM) of {6a²b, 9b²c, 3c²a} and of {4x²y²z², 6x³yz, 12xy²z}.

The LCM of two or more terms is a product that has includes all of the factors of each of the terms. One way to find the LCM is to list the factors of the terms, identify the different ones and the powers of each, then choose the highest power of each of the different factors.

  6a²b — factors are ...

  9b²c — factors are ...

  3c²a — factors are ...

The distinct factors are ...

The product of highest powers is the LCM:

  LCM = 2¹·3²·a²·b²·c² = 18a²b²c²

The distinct factors are ...

The product of the highest powers is ...

  LCM = 2²·3¹·x³·y²·z² = 12x³y²z²

__

Additional comment

Sometimes the process of finding the LCM can be confused with finding the GCF (greatest common factor). The GCF will be the product of the lowest of the powers of the distinct factors. That power may be zero for any given factor in any given term.

For example, in the first set of terms, the factor 2 has a power of 0 in the last two terms. The factor 'a' has a power of zero in the second term; b has a power of 0 in the third term; c has a power of 0 in the first term. Then the GCF is ...

  2⁰·3¹·a⁰·b⁰·c⁰ = 3 . . . . . GCF of {6a²b, 9b²c, 3c²a}

In the second set of terms, 2 has a power of 1 in the 2nd term; 3 has a power of 0 in the 1st term; x, y, z all have powers of 1 in at least one of the terms. Then the GCF is ...

  2¹·3⁰·x¹·y¹·z¹ = 2xyz . . . . . GCF of {4x²y²z², 6x³yz, 12xy²z}

In short, every term must be a factor of the LCM, and the GCF must be a factor of every term.

One way to find the LCM of two terms is to divide their product by their GCF. The process can be repeated to include more terms in the LCM.

The correct option is C. P, J : 9 units from this origin, points are on the axes.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane.

Other coordinate types include:

Thus, Points P, J are 9 units from this origin which lies on the negative x axis and negative y axis respectively.

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Complete question is-

Which points are on the axes 9 units from the origin?

A.

D, Z, L

B.

L, P

C.

P, J

D.

J, E

The graph the question is attached.

Answer:

Step-by-step explanation:

Area of rectangle= Length x Width

and the given Area is a quadratic expression

A=\(x^{2} -4x-21\)

We use the factorization method so,

we need 2 numbers that when multiplied we get -21 and when we add/subtract we get -4 so,

A=\(x^{2} -7x+3x-21\)

now we simplify,

A=\(x(x-7)+3(x-7)\)

A=\((x-7)(x+3)\)

This looks familiar doesn't it, when we write the formula for the area of rectangle its

A= Length x Width and the equation here shows that

A= \((x-7)(x+3)\)

So the expression for the length is x-7 and

the expression for the width is x+3 i think u have missed maybe some information on the question as such that the perimeter might be missing because length could be either x-7 or even x+3 same goes for width maybe someone can correct me if im wrong

As per the given confidence interval, the population mean remodeling costs for the two types of projects is -1.6

Confidence interval

The  range of values that's likely to include a population value with a certain degree of confidence is known as confidence interval.

Given,

A certain association provided data on the cost of the most popular home remodeling projects.

Here we need to find the the population mean remodeling costs for the two types of projects.

Here we will find the point estimate of the difference between the population mean remodeling costs for the two types of projects using an equation,

=> X1​ − X2​

In order to calculate the sample mean we will use equation,

=> X = ∑x/n

Now, we have to substitute values we get,

=> X1 ​= 21.2

=> X2 ​= 22.8

Here X1 refers the sample mean remodeling costs for the kitchen and X2​refers the sample mean remodeling cost for the master bedroom.

Therefore, the point estimate of the difference between the population mean remodeling costs for the two types of projects are,

=> X1 ​− X2​ ​= −1.6

Therefore, we estimate that the remodeling master bedroom has the mean costs of 1.6 greater than mean remodeling costs for the kitchen.

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Answer:13 miles

Step-by-step explanation:10.20-1.75=8.45÷0.65=13

Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

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Answer: 0.1312

Step-by-step explanation:

Given: The proportion of population has a retirement account : p = 0.48

Sample size : n = 632

Let q be th sample proportion.

The probability that the proportion of persons with a retirement account will differ from the population proportion by greater than 3% will be :-

\(P(|q-p|>0.03)=1-P((|q-p|\leq 0.03)\\\\=1-P(-0.03<q-p<0.03)\\\\=1-P(\dfrac{-0.03}{\sqrt{\dfrac{(0.48)(1-0.48)}{632}}}<\dfrac{q-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.03}{\sqrt{\dfrac{(0.48)(1-0.48)}{632}}})\\\\=1-P(-1.5096<z<1.5095) \ \ \ \ [\ Z=\dfrac{q-p}{\sqrt{\dfrac{p(1-p)}{n}}}\ ]\\\\=1-(2P(Z<1.5095)-1)\ \ \ \ [P(-z<Z<z)=2(Z<z)-1]\\\\=2-2P(Z<1.5095)=2-2( 0.9344)\ \ \ [\text{by p-value table}]\\\\=0.1312\)

Hence, the required probability = 0.1312

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

Step-by-step explanation:

(x - 8)/2 = -5

x - 8 = -10

x = -2

(y + 5)/2 = 0

y + 5 = 0

y = -5

(-2, -5)

The coordinates of the midpoint will be (3,-5).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(-5,0) and the coordinates of A are (-8, 5).

The midpoint will be calculated by using the formula below:-

( -8 + x ) / 2 = -5

( -8 + x ) = -5

x = -5 + 8 = 3

( 5 + y ) / 2 = 0

( 5 + y ) = 0 = - 5

Therefore, the coordinates of the midpoint will be (3,-5).

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if x = 69, then x^2+x = 4830

Answer:

$25000 * 40% = 100.000

Step-by-step explanation:

1) The equation cscθ = 2 has a general form of θ = π/6 + 2πn, where n is an integer, representing all possible solutions.

2) The solutions for the equation cscθ = 2 on the interval (π/2) ≤ θ < 3π can be expressed as θ = π/6, (7π/6), (13π/6), (19π/6), and so on, where each term is a multiple of π/6 added to the previous solution.

To find the solutions of the equation cscθ = 2 on the interval (π/2) ≤ θ < 3π, we'll follow these steps:

Step 1: Rewrite the equation using the reciprocal identity for sine:

sinθ = 1/cscθ

Step 2: Substitute the value for cscθ:

sinθ = 1/2

Step 3: Find the solutions in the interval (π/2) ≤ θ < 3π for which sine is equal to 1/2. We know that sine is positive in the first and second quadrants.

In the first quadrant, the reference angle with a positive sine of 1/2 is π/6. The angle θ can be expressed as:

θ = π/6 + 2πn, where n is an integer.

In the second quadrant, the sine is also positive, but the reference angle is (π - π/6) = 5π/6. The angle θ in the second quadrant can be expressed as:

θ = π - (5π/6) + 2πn

  =  π/6 + 2πn, where n is an integer.

Step 4: Combine the solutions from the first and second quadrants.

θ = π/6 + 2πn, where n is an integer.

Step 5: Narrow down the solutions to the given interval.

Within the interval (π/2) ≤ θ < 3π, we can substitute n = 0, 1, 2, ... as follows:

θ = π/6, (π/6) + 2π, (π/6) + 4π, ...

Therefore, the solutions on the interval (π/2) ≤ θ < 3π in terms of π are:

θ = π/6, (7π/6), (13π/6), (19π/6), ...

In general form, the solutions can be expressed as:

θ = π/6 + 2πn, where n is an integer.

Hence, the general form for all solutions of the equation cscθ = 2 is θ = π/6 + 2πn.

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The probability that precisely eight cell phone owners used their phones to guide their purchasing decisions is 31%.

Probability measures the ratio of the likelihood of an outcome happening out of possible outcomes.

Probability is depicted as fractions, decimals, or percentages because they show the chance that an expected event occurs in the face of many possible events.

This implies that probability can be zero or 1 but not less than zero or more than 1.

The probability that cell phone owners used their phones for guidance = 58%

The sample size of cell phone owners studied = 15

The probability of 8 phone owners out of 15 using their phones for guidance on purchase decisions = 53% (8/15)

The probability that of 8 from 15 of the 58% cell phone owners using their phones for purchase decisions = 31% (58% x 53%).

Thus, the probability that precisely eight cell phone owners used their phones to guide their purchasing decisions is 31%.

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Answer:

Step-by-step explanation:

See attached

The graphical solution is given below,

The lines intersect at the point with approximate coordinates:

Let's use graphical method

Refer to the attachment

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

Answer: first, second, and third images.

Step-by-step explanation:

to determine if something is a function, the domain must not have more than one answer in the range. My class calls it the y axis test, if you were to graph it, you cannot draw a line straight down that will go through two points. it's easy to understand with images like these, because all you need to know is that arrows cannot go from one number on the left to multiple on the right. Vice versa is a function, because it passes the y axis test.

Answer:

2.4 × 10^-2

Step-by-step explanation:

You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2

1.2×10^-2 + 1.2×10^-2

= 10^-2(1.2 + 1.2)

= 10^-2(2.4)

= 2.4 × 10^-2

OR you can change from scientific notation to standard and add them and change back to sci. not. See image.

Answer:

x = 3.25

Step-by-step explanation:

x + 6.75 = 10

  -6.75     -6.75          - Here I just subtracted 6.75 from both sides

x = 3.25

This means that x is equal to 3.25 (your first option)

Hope that helps and have a great day!

Answer:

a) x = 3.25

Step-by-step explanation:

Given equation,

→ x + 6.75 = 10

Now the value of x will be,

→ x + 6.75 = 10

→ x = 10 - 6.75

→ [ x = 3.25 ]

Hence, value of x is 3.25.

Answer:

Step-by-step explanation:

The two marked angles must have same value as corresponding angles:

The angle measure:

Angles are equal as they are corresponding

Angle :-

Answer:2

Step-by-step explanation:

18 divided by 2 equals 9

and for 50 it’s 15  because 50 divided by 2 is 15 so it’s 2

The greatest common factor of 18 and 50 is 2.

Greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.

A number that divides into another number completely is said to be a factor.

To put it another way, any two integers that multiply to produce a result are factors of the result.

We have to determine the greatest common factor of 18 and 50

The prime factorization of 18 is

⇒ 2 x 3 x 3 = 18.

The prime factorization of 50 is

⇒ 2 x 5 x 5 = 50.

The occurrence of common prime factors of 18 and 50 is 2.

So the greatest common factor of 18 and 27 = 2.

Therefore, the greatest common factor of 18 and 50 is 2.

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The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

Vector g is from the red jet ski to the green boat. The magnitude is √26 and the direction angle is 248.7°, the component form of vector g is approximately (-3.8, -1.4).

To write the component form of vector g, we need to determine the horizontal and vertical components of the vector.

Given:

Magnitude of g = √26

Direction angle = 248.7°

To find the horizontal component (g_x) and vertical component (g_y) of vector g, we can use the following trigonometric formulas:

g_x = magnitude * cos(angle)

g_y = magnitude * sin(angle)

Substituting the given values:

g_x = √26 * cos(248.7°)

g_y = √26 * sin(248.7°)

Now, let's calculate the values:

g_x = √26 * cos(248.7°) ≈ -3.8

g_y = √26 * sin(248.7°) ≈ -1.4

Therefore, the component form of vector g is approximately (-3.8, -1.4).

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