Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang’s class?

A. 28 ÷ 4/7 = 49

B. 28 x 4/7 = 16

C. 4/7 ÷ 28 = 1/49

D. 7/4 ÷ 28 = 1/16

Answer:

yes the triangles are similar

Step-by-step explanation:

I know this because the triangle still keeps the same shape for both triangles, one is simply scaled down to size.

The expression x²-10x-21 is wrong since the product of two negative signs is equal to positive.

Quadratic equations are equations that has a leading degree of 2. The standard quadratic equation is given as;

f(x) = ax^2+bx+c

Given the product of the expression below;

f(x) = (x-3)(x-7)

Expand

f(x) = x(x) - 7x - 3x -3(-7)

f(x) = x^2 - 7x - 3x + 21

f(x) = x^2 - 10x + 21

Hence the expression x²-10x-21 is wrong since the product of two negative signs is equal to positive.

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Answer:

Answers

Step-by-step explanation:

Sue's Equations

24

600

Randy's Equations

1/24

1/600

Answer:


When dividing one number by another, we need to invert the second number and then multiply the two numbers together. In this case, we want to divide 12 by 1/2, so we need to invert 1/2 to get 2/1. Then we multiply 12 by 2/1:

12 × 2/1 = 24

Therefore, the result of dividing 12 by 1/2 is 24.


When dividing a number by a fraction, we need to invert the fraction and then multiply the two numbers together. In this case, we want to divide 6 by 1/100, so we need to invert 1/100 to get 100/1. Then we multiply 6 by 100/1:

6 × 100/1 = 600

Therefore, the result of dividing 6 by 1/100 is 600.


To solve the division problem of 1/2 divided by 12, we need to follow a specific set of steps. First, we must remember that dividing a fraction by a whole number involves multiplying the fraction by the reciprocal of the whole number. The reciprocal of 12 is 1/12, so we can rewrite the division problem as 1/2 multiplied by 1/12.

Next, we need to multiply the numerators and denominators of the fractions together. Multiplying 1/2 by 1/12 gives us:

1/2 × 1/12 = 1/24

Therefore, the result of dividing 1/2 by 12 is 1/24.


When dividing 1/100 by 6, the result is 0.016666666666666666, which can also be expressed as the fraction 1/60. This means that for every 1 part out of 100, there are 0.016666666666666666 parts when divided into 6 equal portions.

To understand this calculation, it's crucial to pay attention to the division of 1/100 by 6. The result of this division, 0.016666666666666666, is a decimal that can also be represented as the fraction 1/60. This fraction is a way to express the relationship between the parts created when dividing 1 part out of 100 into 6 equal portions. Specifically, there are 0.016666666666666666 parts for each portion.

Therefore, the important concepts in this statement are: division, 1/100, 6, result, 0.016666666666666666, fraction, 1/60, parts, and equal portions. Understanding these concepts is crucial to comprehending the relationship between the numbers and what they represent.

Answer:

24

Step-by-step explanation:

the negatives cancel each other out

The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10

From the question, we have the following parameters that can be used in our computation:

The difference of -10 and the product of p and q

The numbers are given as

p and q

The product of p and q means pq

So, we have the following

The difference of -10 and pq

The difference of -10 and pq means

pq + 10

Hence, the expression is pq + 10

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As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

x= 88

Step-by-step explanation: you do (88-44) making 44 then add 48+ 44 + 88 = 180.

x = 88

Step-by-step explanation:

the perimeter of a rectangle is

2×length + 2×width

in our case

length = width + 3

and

2×length + 2×width = 30

using the first equation in the second :

2×(width + 3) + 2×width = 30

width + 3 + width = 15

2×width + 3 = 15

2×width = 12

width = 12/2 = 6 ft

length = width + 3 = 6 + 3 = 9 ft

Answer:

Tile 1 , tile 4, tile 3 then tile 2

Step-by-step explanation:

3.14 x \(5^{2}\) x 3 = 235.62

3.14 x \(3^{2}\) x 5 = 141.37

3.14 x \(3^{2}\) x 6 = 169.65

3.14 x \(4^{2}\) x 4 = 201.06

235.62, 201.06, 169.65, 141.37

Answer:

c

Step-by-step explanation:

Answer: Answer C x^2+(y-4)^2=16

Step-by-step explanation:

on edge 2023

Answer: n=110, m=110

Step-by-step explanation: I think m=110 because of vertical angles. m might also equal 70.

According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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Using the binomial distribution, it is found that the variance of Alice's commuting time is of 2 minutes squared.

For each light, there are only two possible outcomes, either it is red, or it is green. The lights are independent of others, hence the binomial distribution is used to solve this question.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The variance of the binomial distribution is:

\(V(X) = np(1 - p)\).

In this problem:

The variance for the number of red lights is:

V(X) = 4(0.5)(0.5) = 1

Since each red light delays Alice by exactly two minutes, the variance of Alice's commuting time is of:

2 x 1 = 2 minutes squared.

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Answer:

y=6x-8

Step-by-step explanation:

10-4/3-2

m=6/1

y=mx+b

y=6x+b

4=6(2)+b

4=12+b

-8=b

y=6x-8

The number of different pasta dishes the customers can create are 180.

According to its definition, a combination is "An arrangement of objects where the order in which the objects are selected is irrelevant." The phrase "Selection of things" denotes a situation in which the chronological order of events is irrelevant.

Given,

Number of noodle options = 3.

Number of sauce options = 3.

Number of vegetable options = 4.

Number of meat options = 5.

To find the number of possible combinations we need to take the total number of each option and multiply them together as there is no repetition allowed.

Possible combinations = 3×3×4×5

                                      = 180

Thus, the number of pasta dishes created = 180.

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Answer:

the first  partial sum  \(\mathbf{S_1= \dfrac{1}{2}}\)

the second partial sum  \(\mathbf{S_2= \dfrac{3}{4} }\)

the third partial sum \(\mathbf{S_3= \dfrac{7}{8}}\)

the fourth  partial sum \(\mathbf{S_4= \dfrac{15}{16}}\)

the fifth partial sum \(\mathbf{S_5= \dfrac{31}{32}}\)

the sixth partial sum \(\mathbf{S_6= \dfrac{63}{64}}\)

Step-by-step explanation:

The term of the sequence are given as : \(\dfrac{1}{2}\), \(\dfrac{1}{2^2}\), \(\dfrac{1}{2^3}\), \(\dfrac{1}{2^4 }\) ,  .  .  .  

The nth term for this sequence is , \(\mathtt{a_n =( \dfrac{1}{2})^n}\)

The nth partial sum of the sequence for \(\mathtt{a_1,a_2,a_3.... a_n}\) is \(\mathtt{S_n}\)

where;

\(\mathtt{S_n = a_1 +a_2+a_3+ ...+a_n}\)

The first partial sum  is:  \(\mathtt{S_1= a_1}\)

\(\mathtt{S_1= (\dfrac{1}{2})^1}\)

\(\mathbf{S_1= \dfrac{1}{2}}\)

Therefore, the first  partial sum  \(\mathbf{S_1= \dfrac{1}{2}}\)

The second partial sum is: \(\mathtt{S_2= a_1+a_2}\)

\(\mathtt{S_2= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2}\)

\(\mathtt{S_2= \dfrac{1}{2} + \dfrac{1}{4}}\)

\(\mathtt{S_2= \dfrac{2+1}{4} }\)

\(\mathbf{S_2= \dfrac{3}{4} }\)

Therefore, the second partial sum  \(\mathbf{S_2= \dfrac{3}{4} }\)

The third partial sum is : \(\mathtt{S_3= a_1+a_2+a_3}\)

\(\mathtt{S_3= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2+(\dfrac{1}{2})^3 }\)

\(\mathtt{S_3= \dfrac{1}{2} + \dfrac{1}{4}+\dfrac{1}{8}}\)

\(\mathtt{S_3= \dfrac{4+2+1}{8}}\)

\(\mathbf{S_3= \dfrac{7}{8}}\)

Therefore, the third partial sum \(\mathbf{S_3= \dfrac{7}{8}}\)

The fourth partial sum : \(\mathtt{S_4= a_1+a_2+a_3+a_4}\)

\(\mathtt{S_4= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2+(\dfrac{1}{2})^3+(\dfrac{1}{2})^4 }\)

\(\mathtt{S_4= \dfrac{1}{2} + \dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}}\)

\(\mathtt{S_4= \dfrac{8+4+2+1}{16}}\)

\(\mathbf{S_4= \dfrac{15}{16}}\)

Therefore, the fourth  partial sum \(\mathbf{S_4= \dfrac{15}{16}}\)

The fifth partial sum : \(\mathtt{S_5= a_1+a_2+a_3+a_4+a_5}\)

\(\mathtt{S_5= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2+(\dfrac{1}{2})^3+(\dfrac{1}{2})^4 +(\dfrac{1}{2})^5 }\)

\(\mathtt{S_5= \dfrac{1}{2} + \dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}}\)

\(\mathtt{S_5= \dfrac{16+8+4+2+1}{32}}\)

\(\mathbf{S_5= \dfrac{31}{32}}\)

Therefore, the fifth partial sum \(\mathbf{S_5= \dfrac{31}{32}}\)

The sixth partial sum: \(\mathtt{S_5= a_1+a_2+a_3+a_4+a_5+a_6}\)

\(\mathtt{S_6= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2+(\dfrac{1}{2})^3+(\dfrac{1}{2})^4 +(\dfrac{1}{2})^5 +(\dfrac{1}{2})^6 }\)

\(\mathtt{S_6= \dfrac{1}{2} + \dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}+\dfrac{1}{64} }\)

\(\mathtt{S_6= \dfrac{32+16+8+4+2+1}{64}}\)

\(\mathbf{S_6= \dfrac{63}{64}}\)

Therefore, the sixth partial sum \(\mathbf{S_6= \dfrac{63}{64}}\)

Probability of cars waiting at the drive-up window is P (X=0) = 0.1353 and P (X=2) = 0.2707

The variety of strategies for achievement. the number of potential outcomes. For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one method to acquire a head and there are a total of 2 potential outcomes (a head or tail). We specify P(heads) = 1/2.

There are typically 2. chance of automobiles waiting at the drive-up window on any given morning at 9 o'clock, according to a Poisson distribution. a. P(x=0) P(x=0) X = 1, 2,..., 10

X≅ P(2)

a. P(x=0)

P(x=0)  

\(e^{-2}\) . \(2^{0}\) ÷ 0!

\(e^{-2}\)

0.1353

b. P(x=2)

\(e^{-2}\) .\(2^{2}\) ÷ 2!

2\(e^{-2}\)

0.2707

So

Probability of cars waiting at the drive-up window is P (X=0) = 0.1353 and P (X=2) = 0.2707

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Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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The statement "S′H′ is parallel to S′Q′" is true.

To find the image of the square after reflection across the x-axis, we need to flip each point of the square over the x-axis. The coordinates of the reflected points will have the same x-coordinate, but the y-coordinate will have the opposite sign.

The coordinates of the original square are:

S(−3,0)

H(2,0)

A(2,5)

Q(−3,5)

The coordinates of the reflected square are:

S′(−3,0)

H′(2,0)

A′(2,−5)

Q′(−3,−5)

Now, we can find the slopes of the sides of the reflected square to determine which sides are parallel.

S′H′¯¯¯¯¯¯¯¯¯¯¯: The slope of S′H′¯¯¯¯¯¯¯¯¯¯¯ is 0, since both points have the same y-coordinate. Therefore, S′H′¯¯¯¯¯¯¯¯¯¯¯ is parallel to the x-axis.

S′Q′¯¯¯¯¯¯¯¯¯¯: The slope of S′Q′¯¯¯¯¯¯¯¯¯¯ is 0, since both points have the same y-coordinate. Therefore, S′Q′¯¯¯¯¯¯¯¯¯¯ is also parallel to the x-axis.

H′A′¯¯¯¯¯¯¯¯¯¯¯: The slope of H′A′¯¯¯¯¯¯¯¯¯¯¯ is undefined, since the two points have the same x-coordinate. Therefore, H′A′¯¯¯¯¯¯¯¯¯¯¯ is parallel to the y-axis.

H′S′¯¯¯¯¯¯¯¯¯¯¯: The slope of H′S′¯¯¯¯¯¯¯¯¯¯¯ is also undefined, since the two points have the same x-coordinate. Therefore, H′S′¯¯¯¯¯¯¯¯¯¯¯ is parallel to the y-axis.

A′Q′¯¯¯¯¯¯¯¯¯¯: The slope of A′Q′¯¯¯¯¯¯¯¯¯¯ is 0, since both points have the same y-coordinate. Therefore, A′Q′¯¯¯¯¯¯¯¯¯¯ is parallel to the x-axis.

Q′S′¯¯¯¯¯¯¯¯¯¯: The slope of Q′S′¯¯¯¯¯¯¯¯¯¯ is 0, since both points have the same y-coordinate. Therefore, Q′S′¯¯¯¯¯¯¯¯¯¯ is also parallel to the x-axis.

Based on these calculations, we can see that S′H′¯¯¯¯¯¯¯¯¯¯¯ is parallel to S′Q′¯¯¯¯¯¯¯¯¯¯ (both are parallel to the x-axis). Therefore, the statement "S′H′¯¯¯¯¯¯¯¯¯¯¯ is parallel to S′Q′¯¯¯¯¯¯¯¯¯¯" is true.

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a) \(\log \left(\dfrac{A^3B}{C} \right) = 3\log A + \log B - \log C\)

b) \(\log \left(\dfrac{\sqrt{A}}{B^2} \right) = \frac{1}{2}\log A - 2\log B\)

Step-by-step explanation:

There are two curves on this graph. One that is higher than the other. The higher one is the max and the lower one is the min

Let's find the coordinate of the higher one. Looks like it's at (2,3). This means The function has a maximum of 3 at x=2

The lower on is the same process. Looks like that ons is at (-3,-2). This means The function has a minumum of -2 at x=-3

Answer:

Mikas is Saltier

Step-by-step explanation:

Brainliest please.


Jack used 1 tsp to 3 tsp of water Thats a fraction of 1/3

Mika Used 4 tsp to 9 tsp of water which its 4/9

4/9 is greater than 1/3

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

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For this case the first part is identify the x coordinate from the graph given, as we can see the value is :

Then we just need to identofy the y coordinate for the point and if we look at the graph we got:

So then the coordinates for this casse are:

Answer:

10

Step-by-step explanation:

Probability is the likeliness of happening of an event.

Probability of any event A can be be defined by

no. of time event A happens/ total no. all possible  event that can occur

___________________________________

In the problem

probability of occurrence of 1 on rolling a cube is needed.

A cube has six sides with one written on one sides and rest has 2,3,4,5,6.

No of times 1 can occur on rolling the dice once will be = 1

Since there six sides and and each has different number (1,2,3,4,5,6)

There is chance that each of the number can come.

Thus, total no possible outcome = 6

Probability of occurrence of 1 = No of times 1 occurs on rolling the dice /total no possible outcome    = 1/6

_____________________________________________

If dice is rolled 1 time there is 1/6 chance that 1 will be the outcome.

If dice is rolled 1*60 time then there is 1/6*60= 10 chance that 1 will be the outcome

Thus , If you were to roll a six-sided number cube 60 times, about 10  times it is  expected that  the number cube to land on a 1.

Answer:

20

Step-by-step explanation:

The correct graph representation is (B): number line with an open circle on 4 with shading to the left and a closed circle on 10 with shading to the right.

To determine the correct graph of the solution to the inequality −18 > −5x + 2 ≥ −48, we need to solve the inequality and analyze the values of x that satisfy it.

First, let's solve the inequality:

−18 > −5x + 2 ≥ −48

To isolate x, we subtract 2 from all parts of the inequality:

−18 - 2 > −5x + 2 - 2 ≥ −48 - 2

−20 > −5x ≥ −50

Next, we divide all parts of the inequality by -5, remembering to flip the inequality signs when dividing by a negative number:

(-20) / (-5) < (-5x) / (-5) ≥ (-50) / (-5)

4 < x ≥ 10

So, the solution to the inequality is 4 < x ≥ 10.

Now, let's analyze the answer choices:

(A) number line with a closed circle on 4 with shading to the left and an open circle on 10 with shading to the right

(B) number line with an open circle on 4 with shading to the left and a closed circle on 10 with shading to the right

(C) number line with a closed circle on 4 with shading to the right and an open circle on 10 with shading to the left

(D) number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

Based on the solution 4 < x ≥ 10, the correct graph representation would be (B) - a number line with an open circle on 4 with shading to the left and a closed circle on 10 with shading to the right.

This graph indicates that x is greater than 4 but less than or equal to 10, with the open circle indicating that 4 and 10 are not included in the solution range. The shading to the left of 4 and to the right of 10 indicates all the values that satisfy the inequality.

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Final Answer: The inverse of f (x)=7x-4 is f^-1 (x)= (x+4)/7