7th grade Girl!

*urgent, pls pls pls help!* :(

(in the screenshot above. pleaseeeee! i’m desperate ahhhh :( )

Answer:

The ratios in their simplest form are:

A 25:24

B 19:24

C 23:24

D 11:16

Step-by-step explanation:

The ratios are in their simplest form are the ratios that cannot be simplified further.

We will check all the ratios one by one

A 25:24

Cannot be further simplified so it is in the simplest form

B 19:24

Cannot be simplified further.

C 23:24

Cannot be simplified further

D 11:16

Cannot be simplified further

E 27:18

\(27:18\\3:2\)

Further simplified, so it was not in simplest form.

Hence,

The ratios in their simplest form are:

A 25:24

B 19:24

C 23:24

D 11:16

Answer:

15 students

Step-by-step explanation:

Let x = number of students in the class

students * fraction of boys = boys

x * 4/5 = 12

Multiply each side by 5/4

x * 4/5 (5/4) = 12*5/4

x =15

There are 15 students

Answer:

15 students

Step-by-step explanation:

Step 1: Divide 12 by 4 because if 12 is 4/5, then to find 1/5 you have to divide 4/5 by 4 and 12 by 4

12/4=3

Step 2: Add 12+3 because 4/5+1/5=5/5

12+3=15

There are 15 students in the class, hope this helps!

Answer:

ΔFOX ≅ΔBXO

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Additional context is required to identify unit rate in graph.

A unit rate is a rate in which the denominator is one unit. For example, if you travel 60 miles in 2 hours, the rate is 30 miles per hour, which is a unit rate because the denominator is one hour.

In the given options, we have four different unit rates:

Without additional information or context, it is impossible to determine which unit rate is shown in the graph. If you can provide more details about the graph, I can help you identify the unit rate it represents.

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The probability that one offspring will express the recessive trait is approximately 0.1324 and The probability that more than one offspring will express the recessive trait (at least two) is approximately 0.7675.

To find the probability of one offspring expressing the recessive trait, we can use the binomial probability formula:

\(Pr(x) = C(k, x) * p^x * q^(k-x)\)

k is the number of trials (number of offspring in this case),

x is the number of successful outcomes (number of offspring expressing the recessive trait),

p is the probability of success (25% or 0.25 in this case),

q is the probability of failure (75% or 0.75 in this case),

C(k, x) represents the number of combinations of k items taken x at a time, which can be calculated as k! / (x! * (k-x)!).

Now, let's recalculate the probabilities using the correct formula:

For one offspring expressing the recessive trait (x = 1):

\(Pr(1) = C(8, 1) * (0.25)^1 * (0.75)^(8-1)\)

=\(8 * 0.25 * 0.75^7\)

≈ 0.1324

For more than one offspring expressing the recessive trait (at least two offspring):

Pr(at least 2) = 1 - Pr(0) - Pr(1)

=\(1 - C(8, 0) * (0.25)^0 * (0.75)^8 - Pr(1)\)

≈ \(1 - 1 * 1 * (0.75)^8 - 0.1324\)

≈ 1 - 0.1001 - 0.1324

≈ 0.7675

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Answer:

10 units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x represent the third side ( hypotenuse ) , then

x² = 7² + (\(\sqrt{51}\) )² = 49 + 51 = 100 (take square root of both sides )

x = \(\sqrt{100}\) = 10

The third side is 10 units

Answer:

158 quarters

54 dimes

Step-by-step explanation:

Let d = no. of dimes

     q = no. of quarters

10d = value of all the dimes since each dime is worth 10 cents

and 25q = value of all the quarters since each quarter is worth 25 cents

$44.90 = 4490 cents

  10d + 25q = 4490              d + q = 212

- 10d - 10q = -2120

             15q = 2370

                 q = 158 quarters   d + 158 = 212

                                                        d = 54 dimes

Answer:

-2.2

Step-by-step explanation:

m = y2 - y1/ x2- x1

m = -5 - 6/ 2 --3

m = -11/5

m = -2.2

Answer:

132 square units

Step-by-step explanation:

We are to find the surface area of a square pyramid.

From the diagram above, we are given:

Slant height = 6 units

Base = 8 units

The formula is given as:

= 2bs + b²

= 2 × 8 × 6 + 6²

= 96 + 36

= 132 square units

Answer:

75 percent

Step-by-step explanation:

common sense

Answer:

75 percent

Step-by-step explanation:

3 divided by 4 is equal to 0.75 which is 75 percent

Answer:

6

Step-by-step explanation:

The absolute value function always returns a positive value, that is

| a | = | - a | = a

Given

b(x) = | x + 4 | , then

b(- 10) = | - 10 + 4 | = | - 6 | = 6

E  letter is the direction of the line of symmetry different from that of the others.

A form or item is divided into two equally and symmetrical portions by a line of symmetry. So it separates the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.

A triangular equilateral shape has three symmetry lines. An equilateral triangle has the most lines of symmetry, as opposed to other types of triangles like scalene, isosceles, or right-angled triangles.

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An exponential decay function is flx) = (-3)9, the correct option is D.

Consider the function:

\(y = a(1\pm r)^m\)

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, then there is exponential growth happening by r fraction or 100r %

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

We are given that;

f(x) =4

An exponential decay function is a function of the form:

f(x) = ab^x

where a and b are positive constants and b < 1.

The value of b determines how fast the function decreases as x increases. The smaller the value of b, the faster the decay.

To find which option is an exponential decay function, we need to compare their values of b.

Option A has f(x) = 4(1/3)x. This means that b = 4^(1/3), which is approximately 1.587. Since b > 1, this is not an exponential decay function.

Option B has f(x) = 13(7)^x. This means that b = 7, which is greater than 1. This is not an exponential decay function.

Option C has f(x) = (9/5)^x. This means that b = 9/5, which is also greater than 1. This is not an exponential decay function.

Option D has f(x) = (-3)(9)^(-x). This means that b = 9^(-1), which is equal to 1/9. Since b < 1, this is an exponential decay function.

Therefore, by exponential growth and decay the answer will be flx) = (-3)9

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Answer:

115

Step-by-step explanation:

20% is one fifth. If Mary has one fifth fewer than Susan, then she has 4 fifths of what Susan has. So 92 is 4 fifths of some number.

To find out what one fifth is, you can divide 92 by 4 because it is four fifths.

92/4 = 23

So one fifth of the number of blouses Susan has is 23. Now you can multiply 23 by 5 to get the total number of blouses Susan has.

23 * 5 = 115

This is an example of a sample survey or a sampling method.

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

In the given scenario, you are conducting a sample survey to determine the proportion of each color of Peanut Butter M&Ms. A sample survey is a method used to collect data from a subset of a larger population in order to make inferences about the entire population.

Instead of counting every single Peanut Butter M&M in existence, which would be impractical and time-consuming, you decide to take a smaller representative sample. You purchase 10 packages of Peanut Butter M&Ms, each weighing 1.69 ounces, and count the number of M&Ms of each color in those packages.

By analyzing the data collected from this sample, you can estimate the proportion of each color of Peanut Butter M&Ms in the larger population. This approach is more feasible and provides a reasonable approximation of the overall distribution of colors without having to examine every individual item.

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The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Step-by-step explanation:

step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.

step 2. A = P(1 + r/n)^(nt)

step 3. A = 1600(1 + .03/12)^((12)(5)

step 4. A = 1600(1.0025)^(60)

step 5. A = $1858.59

Answer and Step-by-step explanation:

a - b = 2

\(\frac{3b}{3a}\) = \(\frac{b}{a}\)

b = a - 2

a = b + 2

______________

b = b + 2 - 2

b = b

______________

______________

a = a - 2 + 2

a = a

______________

If a equals 0, then the expression is undefined.

If b = 0, then the expression is 0.

There are infinite number of solutions when a is not 0 and the numbers are positive.

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The value of the test statistic is 3.75 (rounded to two decimal places). The p-value is 0.0047 (rounded to four decimal places). Based on these results, we reject the null hypothesis (H0) and conclude that the market shares for the compact cars in the city differ from the nationwide market shares.

To determine if the sample data suggests a difference in market shares for compact cars in the city compared to nationwide sales, a goodness of fit test is conducted. The null hypothesis (H0) states that the market shares for the compact cars in the city do not differ from the nationwide market shares. The alternative hypothesis (Ha) suggests that there is a difference.

The test statistic is calculated based on the observed frequencies in the sample and the expected frequencies based on the nationwide market shares. By comparing the observed and expected frequencies, the test statistic is computed, and its value is found to be ___ (rounded to two decimal places).

The p-value is then calculated to determine the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. It is found to be ___ (rounded to four decimal places).

Based on the p-value, if it is less than the chosen significance level of 0.05, the null hypothesis would be rejected. However, in this case, the p-value is greater than 0.05, indicating that there is not enough evidence to reject the null hypothesis. Therefore, we do not conclude that the market shares for compact cars in the city differ significantly from the nationwide market shares.

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The given functions y1(x) = 3ex and y2(x) = 5xex forms a fundamental set of solutions for the differential equation y′′ − 2y′ + y = 0 on the interval (−∞, ∞).Therefore, the given statement is True.

The functions y1(x) = 3ex and y2(x) = 5xex forms a fundamental set of solutions for the differential equation: y′′ − 2y′ + y = 0 on the interval (−∞, ∞) is True.

Explanation:

A fundamental set of solutions is a set of solutions to a homogeneous differential equation that satisfies the following conditions:

Linear independence: none of the functions can be expressed as a linear combination of the others (not equal to zero).

Each solution must satisfy the differential equation.

For the given differential equation y′′ − 2y′ + y = 0, we are looking for two linearly independent solutions.

The two solutions y1(x) = 3ex and y2(x) = 5xex are solutions of the differential equation y′′ − 2y′ + y = 0. It is easy to check that they satisfy the differential equation.

Let us check whether they are linearly independent or not.

To check for linear independence, we have to check if any one of the solutions is a linear combination of the other or not. In this case, we have to check if y2(x) is a multiple of y1(x) or not.

Let us assume thaty2(x) = Ay1(x), where A is a constant.

Using the value of y1(x) and y2(x) in the above equation, we get

5xex = A(3ex)

On dividing both sides by ex, we get

5x = 3A or A = (5/3)x

Hence, y2(x) = (5/3)xy1(x)

This implies that y1(x) and y2(x) are linearly independent.

Thus, the given functions y1(x) = 3ex and y2(x) = 5xex forms a fundamental set of solutions for the differential equation y′′ − 2y′ + y = 0 on the interval (−∞, ∞).

Therefore, the given statement is True.

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Answer: The result of the conversion would be 1000 cubic meters.

Step-by-step explanation:

Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer: indirect characterization

Step-by-step explanation:

Indirect characterization is a method of indicating what a character is like by revealing their personality through descriptions of their actions, speech, appearance, and interactions with other characters.