Jane and Maria split 135 stickers in the ratio 8:7. How many stickers did each girl get?

Answer:

6

Step-by-step explanation:

6x3.99=23.94

6 is the largest number of apps you could buy without going over budget

The numbers of apps that can be purchased is 6.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount = $25

Cost of each app = $3.99

So, number of apps can be purchased

=25/3.99

= 6.2656

=6 apps

Hence, 6 apps can be purchased.

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Answer:

x= -5

Step-by-step explanation:

Isolate the variable by dividing the factors that don't contain the variable.

Hope this helps. Plz give brainliest.

The inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.

Minimum distance=(50×2)

Minimum distance=100 miles

Time (T) required to cover the distance (D)

Time=D/50 hours

Inequality is 2+D/50≤6

Hence:

Let solve for Distance (D)

D/55≤6-2

D≤4×50

≤200

Therefore the inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.

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Answer:

5/9 is your answer

Step-by-step explanation:

Answer:

  x = 6

Step-by-step explanation:

We assume your entire expressions are under the radical. The first step can be to square both sides of the equation:

  √(5x -7) = √(3x +5)

  5x -7 = 3x +5 . . . . . . . square both sides

  2x = 12 . . . . . . . . . . . add 7-3x

  x = 6 . . . . . . . . . . . . divide by 2

The solution is x=6.

x = 5pi/6 is not in the interval [0, pi/2]

Starting with the given equation:

4 cos x - 8 sin x cos x = 0

We can factor out 4 cos x:

4 cos x (1 - 2 sin x) = 0

So either cos x = 0 or (1 - 2 sin x) = 0.

If cos x = 0, then x = pi/2 since we're only considering the interval [0, pi/2].

If 1 - 2 sin x = 0, then sin x = 1/2, which means x = pi/6 or x = 5pi/6 in the interval [0, pi/2].

So the two solutions in the interval [0, pi/2] are x = pi/2 and x = pi/6.

That x = 5pi/6 is not in the interval [0, pi/2].

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The given equation is 4 cos x - 8 sin x cos x = 0. To find the solutions in the interval [0, pi/2], we need to solve for x.
Find the solutions within the given interval. Equation: 4 cos x - 8 sin x cos x = 0

First, let's factor out the common term, which is cos x:

cos x (4 - 8 sin x) = 0

Now, we have two cases to find the solutions:

Case 1: cos x = 0
In the interval [0, π/2], cos x is never equal to 0, so there is no solution for this case.

Case 2: 4 - 8 sin x = 0
Now, we'll solve for sin x:

8 sin x = 4
sin x = 4/8
sin x = 1/2

We know that in the interval [0, π/2], sin x = 1/2 has one solution, which is x = π/6.

So, in the given interval [0, π/2], the equation has only one solution: x = π/6.

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Answer:

The x coordinate is 2

Step-by-step explanation:

Given

\(A = (-2,5)\)

\(C = (6,-1)\)

Required

Determine the x coordinate of B

Since B is the bisector of AC, then B is the midpoint and will be calculated using;

\(B(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\)

Considering the x coordinates alone;

\(x = \frac{x_1 + x_2}{2}\)

Where

\((x_1,y_1) = (-2,5)\)    and     \((x_2,y_2) = (6,-1)\)

Substitute values for x1 and x2

\(x = \frac{-2 + 6}{2}\)

\(x = \frac{4}{2}\)

\(x = 2\)

Hence;

The x coordinate is 2

Answer:

The light blue one -- second from the left.

x = 14 ; y = 7√2

Step-by-step explanation:

This is a right triangle. One of the angles is 45. So is the other base angle.

So one of the legs is 7√2. The other leg is also 7√2 because they are opposite equal angles.

The hypotenuse is

a^2 + b^2 = c^2

a = b

2a^2 = c^2

2 (7√2)² = c^2

2 49 * 2 = c^2

4 * 49 = c^2

c^2 = 196

c = 14

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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The inverse function, given the function f(x) = 5(x+4) - 6, can be found to be A. 1.

First, we need to find the inverse function of f(x). To do this, we'll switch the roles of x and y (we'll use y to represent f(x)) and then solve for y.

Given the function f(x) = 5(x + 4) - 6, let's replace f(x) with y:

y = 5(x + 4) - 6

x = 5(y + 4) - 6

x = 5y + 20 - 6

x = 5y + 14

x - 14 = 5y

y = (x - 14) / 5

Now we have the inverse function, f^(-1)(x) = (x - 14) / 5. To find the value of the inverse function when x = 19, plug in 19 for x:

f^(-1)(19) = (19 - 14) / 5

f^(-1)(19) = 5 / 5

f^(-1)(19) = 1

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The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.

The branch of mathematics which deals with the analysis of random phenomena is called probability. The probability of an event is defined as the ratio of favorable events to the total number of events.

P(E) = F(E)/T(E)

Where P(E) = probability of an event which occur\

F(E) = Number of favorable events

T(E)= Total number of events

Here given that the total number of cars T(E) =12

And the number of cars that have acceptable emissions level F(E) = 4

Hence Probability that at least nine cars have an acceptable emission level

=4/12

= 1/3

= 0.333

The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.

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A. N, B ≥ 0 (non-negativity constraint)

B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

C.  You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(a)

The linear programming model to find the best investment strategy for this client can be formulated as follows:

Maximize: 0.09N + 0.08B

Subject to:

N + B ≤ 85 (maximum investment of $85,000)

N ≤ 55 (maximum investment of $55,000 in the internet fund)

6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)

N, B ≥ 0 (non-negativity constraint)

(b)

To solve the problem using Excel Solver, you can set up the following spreadsheet model:

Cell A1: N (amount invested in the internet fund)

Cell B1: B (amount invested in the Blue Chip fund)

Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)

Constraints:

Cell A2: ≤ 85

Cell B2: ≤ 85

Cell C2: ≤ 55

Cell D2: ≤ 410

The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.

Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.

The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

(b)

For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 450

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(d)

For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 320

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

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Answer:

D

Step-by-step explanation:

The probability that John will roll more than 4 times until the dice roll sums to 8 three times is 4 times = 1 - (5 * 4 * 3 * 2) / (36 * 36 * 36 * 36)

To find the probability that John will roll more than 4 times until the dice sum to 8 three times, we need to calculate the probability of him rolling 4 or fewer times and subtract it from 1.

Let's calculate the probability of John rolling 4 or fewer times. To do this, we need to find the probability of him rolling the sum of 8 three times or more within 4 rolls.

First, let's find the total number of possible outcomes for rolling two dice, which is 36 (6 possibilities for each dice).

Next, let's find the number of favourable outcomes for rolling the sum of 8 three times or more within 4 rolls.

We can use combinations to calculate this. For the first roll, the possible combinations that result in a sum of 8 are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). So, there are 5 favourable outcomes for the first roll.

For the second roll, we need to find favourable outcomes given that the first roll was not a favourable outcome. We need to subtract the outcomes that were already counted.

So, there are 4 favourable outcomes for the second roll. Similarly, for the third roll, we subtract the outcomes that were already counted and find 3 favourable outcomes.

Finally, for the fourth roll, we subtract the outcomes that were already counted and find 2 favourable outcomes.

To find the probability, we divide the number of favourable outcomes by the total number of possible outcomes. Probability of rolling the sum of 8 three times or more within

4 rolls = (5 * 4 * 3 * 2) / (36 * 36 * 36 * 36)

Now, we can find the probability of rolling more than 4 times by subtracting this probability from 1.

Probability of rolling more than

4 times = 1 - (5 * 4 * 3 * 2) / (36 * 36 * 36 * 36)

The probability that John will roll more than 4 times until the dice roll sums to 8 three times is the result obtained in the calculation above.

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Answer:

189

Step-by-step explanation:

If you mean this, my answer is 3x63= 189

\( {x}^{2} + {y}^{2} = 57 \\ xy = 3\)

\( {x}^{2} + {y}^{2} + 2xy = 57 + 2 \times 3\)

\( {(x + y)}^{2} = 63\)

\(3 {(x + y)}^{2} = 3 \times 63 = 189\)

The Volume of the given figure is 15870 m³.

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given:

cuboid: h= 24 m, l = 23 m, w = 20 m

Prism: h= 21 m,

Volume of Figure = Volume of cuboid+ Volume of prism

                             = lwh + 1/2 x 20 x 23 x 21

                             = 24 x 23 x 20 + 4830

                             = 11,040 + 4830

                             = 15870 m³

Thus, the volume is 15870 m³.

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Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i just got the biggest brain ever

Yes ordered pair (-4,5 ) is a solution to this linear equation

What is linear equation?

If an equation is expressed as axe + by + c=0, where a, b, and c are real integers and x and y's coefficients, it is said to be a linear equation in two variables.

Main body:

According to question:

y = -2x-3

point = (-4,5)

so as to find whether this point satisfies the equation or not, we need to put the value of any variable and check whether other value holds true or not.

Now substituting x= -4 in the given equation

⇒ y = -2(-4) -3

⇒y 8-3

⇒y= 5

which is given in the ordered pair

hence (-4,5) are a solution to this equation.

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The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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The answer is D. 2 over 5

Step-by-step explanation:

Took the test.

Answer:

-2

Step-by-step explanation:

The absloute value of -3 is 3. So 3-5 is -2.

-2

f(3)=|-3|-5

f(3)=3-5

f(3)=-2

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The given statement, "Two lines and a transversal form corresponding angles that are congruent," indicates that the lines are parallel. This is known as the Corresponding Angles Postulate or the Corresponding Angles Theorem.

According to the Corresponding Angles Postulate, when a transversal intersects two parallel lines, the corresponding angles formed on the same side of the transversal are congruent. In other words, if the corresponding angles are congruent, then the lines must be parallel.

This implies that the two lines never intersect and maintain a constant distance between each other. When a transversal intersects them, the corresponding angles formed on the same side of the transversal are equal.

If the lines were perpendicular, the corresponding angles formed on the same side of the transversal would not be congruent but rather supplementary, meaning their sum would be 180 degrees.

Therefore, based on the given information, we can conclude that the lines are parallel.

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Answer:

A. 2.94$

Step-by-step explanation:

You have to multiply 42 by the percentage converted into a decimal so 7 percent would be .7.

42x.7= 2.94

Therefore, the set {(x, y) | y = λx + μ, where x, y ∈ R} is a subspace of R2 if and only if μ = 0.  To determine the values of μ for which the set {(x, y) | y = λx + μ, where x, y ∈ R} is a subspace of R2.

We need to check if the set satisfies the three conditions for a subspace: 1. The set contains the zero vector:
To satisfy this condition, we set x = 0 and y = 0 in the equation y = λx + μ.

This gives us y = μ. Therefore, the set contains the zero vector if and only if μ = 0. 2. The set is closed under addition:
Let (x1, y1) and (x2, y2) be any two vectors in the set. We need to show that their sum, \((x1 + x2, y1 + y2)\), is also in the set.

Substituting the values into the equation y = λx + μ, we have:
y1 = λx1 + μ
y2 = λx2 + μ

Adding these equations, we get:
y1 + y2 = (λx1 + μ) + (λx2 + μ)
         = λ(x1 + x2) + 2μ

3. The set is closed under scalar multiplication:
Let (x, y) be any vector in the set and c be any scalar. We need to show that the scalar multiple c(x, y) is also in the set. Substituting the values into the equation y = λx + μ,

we have:
y = λx + μ Multiplying both sides by c, we get:
cy = c(λx + μ)
    = λ(cx) + cμ

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There are 9 ways to construct a sequence using the integers 1 to 10 such that each term is either larger than all the numbers to its left or smaller than all the numbers to its left. But the final count is 2 - 2 = 0.

To construct the sequence, we start by choosing the first number. We have two options: either choose the smallest number (1) or the largest number (10). Once we have chosen the first number, we continue by selecting the second number. If we chose the smallest number (1) as the first number, then the second number must be the largest number (10). Similarly, if we chose the largest number (10) as the first number, then the second number must be the smallest number (1).

For each subsequent number, the pattern continues: if the previous number was the smallest, we choose the largest, and if the previous number was the largest, we choose the smallest.

Since we have two options for the first number and then only one option for each subsequent number, we have a total of 2 × 1 × 1 × ... × 1 = 2 × 1^8 = 2 × 1 = 2^1 = 2 possibilities. However, we need to exclude the case where all the numbers are in increasing order or all the numbers are in decreasing order, so the final count is 2 - 2 = 0.

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Answer:

40

Step-by-step explanation:

u know the one side and all the angles are the same so the othere 2 sides would be 40

Answer:

40

Step-by-step explanation:

If one side is 40, then the other side will also be 40.

The answer is also A

all sides have the same measure.

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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A region is bounded by the curves  y = sinπ x ,  y = 4 x − 1 , and the x-axis. determine the area of the region. use the area formula for a triangle to expedite the calculation and show all your work.

To find the area of the region bounded by the curves y = sin(πx), y = 4x - 1, and the x-axis, we need to first find the points of intersection of the curves.

Setting y = sin(πx) and y = 4x - 1 equal to each other, we get:

sin(πx) = 4x - 1

Solving for x is difficult algebraically, so we can use numerical methods or graphing to estimate the solutions. A graph of the two curves shows that they intersect at approximately x = 0.161 and x = 1.239.

Next, we can find the area of the region by breaking it up into two parts: a triangle and a region bounded by the curve y = sin(πx), the x-axis, and the vertical lines x = 0.161 and x = 1.239.

The triangle has base 1.239 - 0.161 = 1.078 and height 4(1.239) - 1 = 3.956. Using the formula for the area of a triangle, we get:

Area of triangle = (1/2) * base * height

= (1/2) * 1.078 * 3.956

= 2.148

To find the area of the region bounded by y = sin(πx), the x-axis, and the vertical lines x = 0.161 and x = 1.239, we can use integration:

∫ from 0.161 to 1.239 of sin(πx) dx = [-cos(πx)/π] from 0.161 to 1.239 = [-cos(π(1.239))/π] - [-cos(π(0.161))/π] = (1/π) * (cos(0.161π) - cos(1.239π))

Using a calculator, we get:

(1/π) * (cos(0.161π) - cos(1.239π)) ≈ 0.696

Therefore, the total area of the region is:

Area = 2.148 + 0.696

= 2.844 (rounded to three decimal places)

So the area of the region bounded by the curves y = sin(πx), y = 4x - 1, and the x-axis is approximately 2.844 square units.

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