What is 42% of 75?
A.
315
B.
105
C.
31.5
D.
10.5

Final answer:

To find the ratio of nonwinners in group A to nonwinners in group B, subtract the number of winners from the total number of people in each group. The ratio of nonwinners in group A to nonwinners in group B is therefore 156:319.

Explanation:

To find the ratio of nonwinners in group A to nonwinners in group B, we need to determine the number of winners in each group and subtract that from the total number of people in each group to find the nonwinners.

In group A, three-fifths of the 390 people will win fuel cards, which is equal to (3/5) * 390 = 234 people winning cards. So, the number of nonwinners in group A is 390 - 234 = 156.

In group B, the same number of fuel cards will be given out, but there are 553 people in that group. So, the number of nonwinners in group B is 553 - 234 = 319.

The ratio of nonwinners in group A to nonwinners in group B is therefore 156:319.

Answer:

mean = 5

Step-by-step explanation:

"mean" is another term for "average"

to find the mean, you have to add all the integers up, and divide by the number of integers there are.

So you have to combine all the numbers together

-26 +39 -10 -16 +12 +31 = 30

Now you have to divide by 6, since there are 6 integers that you combined to get 30

30/6 = 5

the mean = 5

Hope this helps!

If you have any questions, feel free to ask :)

Answer:

q = 3.636363636 repeating

Step-by-step explanation:

  - 4q + 9 = 7q - 31

   + 4q      + 4q

     9 = 11q - 31

  + 31         + 31

      40 = 11q

      [tex]\frac{40}{11} = \frac{11q}{11}[/tex]

Answer:

[tex]\large\boxed{q=\dfrac{40}{11}}[/tex]

Step-by-step explanation:

[tex]-4q+9=7q-31\qquad\text{subtract 9 from both sides}\\\\-4q+9-9=7q-31-9\\\\-4q=7q-40\qquad\text{subtract }\ 7q\ \text{from both sides}\\\\-4q-7q=7q-7q-40\\\\-11q=-40\qquad\text{divide both sides by -11}\\\\\dfrac{-11q}{-11}=\dfrac{-40}{-11}\\\\q=\dfrac{40}{11}[/tex]

Answer:

The expression is (80w+300)

Step-by-step explanation:

Let

y ----> the total amount of money in both accounts

s ----> the  amount of money in saving account

c ----> the amount of money in checking account

w ----> the number of weeks

we know that

saving account

s=50w+200 -----> equation A

checking account

c=30w+100 ----> equation B

To find out the total amount of money in both accounts, sum equation A and equation B

y=s+c

substitute

y=(50w+200)+(30w+100)

y=(50w+30w)+(200+100)

y=80w+300

therefore

The expression is (80w+300)

Answer:

14.14

Step-by-step explanation:

10[tex]10^{2} +10^{2} =x^{2}[/tex]

Simplifying gives you:

10\sqrt{2} ≈ 14.14213562...

The length of the path through Chi's flower garden is approximately 14.14 feet, rounded to two decimal places.

We have,

To find the length of the path through the flower garden, you can use the Pythagorean theorem since the path forms a right-angled triangle inside the square garden.

The garden is a square with a side length of 10 feet.

The path goes from one corner of the square to the opposite corner, forming the hypotenuse of a right-angled triangle.

The other two sides of the triangle are the sides of the square, which are also 10 feet each.

Using the Pythagorean theorem, you can find the length of the hypotenuse (the path):

[tex]c^2 = a^2 + b^2[/tex]

where c is the length of the hypotenuse (the path), and a and b are the lengths of the other two sides (which are both 10 feet in this case).

[tex]c^2 = 10^2 + 10^2[/tex]

c² = 100 + 100

c² = 200

Now, take the square root of both sides to find the length of the path (c):

c = √200 ≈ 14.14 feet

Thus,

The length of the path through Chi's flower garden is approximately 14.14 feet, rounded to two decimal places.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ3

Answer:

I think the answer is j > 1

Answer:

See below.

Step-by-step explanation:

There is an infinite number of values of x that make each answer true. The problem is asking "for which value" with value in the singular, so I thought it was asking to choose one answer from several, and only one was correct.

1a.

Any number between 8 and 9 is correct.

Examples: 8.1, 8.01, 8.2, 8.3, 8.4, 8.9, 8.95, etc.

As I wrote above, there is an infinite number of correct answers.

1b.

Examples: 8.91, 8.92, 8.93, 8.99, 8.905, 8.97, etc.

Answer:

Assuming that inequalities are a valid answer for this question:

1a. 8 < x < 9

1b. 8.9 < x < 9.1

Step-by-step explanation:

Really, there's no exact answer. For example, on 1a, it could be 8.1, 8.11, 8.2, 8.99999, etc. Inequalities are used to denote the fact that the x value can be anywhere between two values. In 1a, x is between 8 and 9, and in 2a, x is between 8.9 and 9.1.

Answer: May you please have answer choices. Please forgive me if I am being rude but I am not.

Answer:

Yes, the total price is proportional to the pounds of oranges she purchased.

Step-by-step explanation:

The price of oranges is $0.78 per pound.

So, the price $0.78 corresponds to one pound, in a way, that is called direct proportionality.

This means that the price will increase or decrease in a constant ratio, depending on the amount of pounds purchased.

For example:

If she buys 1 pound of oranges she will pay $0.78. Ratio is 0.78 (0.78/1)

If she buys 2 pounds of oranges she will pay $1.56. Ratio is 0.78 (1.56/2)

If she buys 2.5 pounds of oranges she will pay $1.95. Ratio is 0.78 (1.95/2.5)

If she buys 3 pounds of oranges she will pay $2.34. Ratio is 0.78(2.34/3)

We can see that ratio is constant, then we can say that the total price she pays is proportional to the pounds of oranged purchased.

Answer:

D

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ), thus

C(1, 2 ) → C'(2, - 1 ) → D

The image after the rotation is C' (2, -1), the correct option is D.

Here we have the point (1, 2), and we have a rotation of 90° clockwise.

Notice that our point is on the first quadrant, then a rotation of 90° will leave us in the fourth quadrant.

The change that we will have is a permutation of the values, and the y-value must become negative, then the transformation gives:

(1, 2) ---> (2, -1)

The correct option is D.

Learn more about rotations at:

https://brainly.com/question/26249005

#SPJ3

The correct answer is B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

In the triangle ABC

m∠A+m∠B+m∠C=180°

substitute the values and solve for m∠C

4x+49°+m∠C=180°

m∠C=180°-49°-4x

m∠C=131°-4x

In the triangle EDC

m∠E+m∠D+m∠C=180°

we have

m∠E=x

m∠D=100°

m∠C=131°-4x -----> by vertical angles

substitute the values

[tex]x+100\°+(131\°-4x)=180\°\\-3x+231\°=180\°\\3x=231\°-180\°\\3x=51\°\\x=17[/tex]

The value of x for the given geometric problem is determined to be 17 by using the concept that the sum of the internal angles of a triangle is equal to 180 degrees.

We are looking to find the value of x where two triangles are involved.

First, according to the laws of geometry, the sum of the internal angles of a triangle must be equal to 180 degrees.

So, in triangle ABC, m∠A+m∠B+m∠C=180°.

If we have m∠A = 4x and m∠B = 49°, then by substituting these values, m∠C becomes 180° - (49° + 4x) i.e 131° - 4x.

In the triangle EDC, the summation m∠E + m∠D + m∠C also equals 180°.

If m∠E=x, m∠D=100°, and m∠C=131°-4x, we can form an equation of x + 100 + 131 - 4x = 180 which simplifies to 231 - 3x = 180. Solving this equation gives x = 17.

https://brainly.com/question/22188924

#SPJ11

[tex]\bf \underset{\leftarrow \qquad \textit{\large 7x-10}\qquad \to }{\stackrel{4x-29}{\boxed{B}\rule[0.35em]{10em}{0.25pt}} C\stackrel{5x-9}{\rule[0.35em]{17em}{0.25pt}\boxed{D}}} \\\\\\ BD=BC+CD\implies 7x-10=(4x-29)+(5x-9) \\\\\\ 7x-10=9x-38\implies 7x+28=9x\implies 28=2x \\\\\\ \cfrac{28}{2}=x\implies 14=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{BC}{4(14)-29\implies 27}~\hfill \stackrel{CD}{5(14)-9\implies 61}~\hfill \stackrel{BD}{7(14)-10\implies 88}[/tex]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 10, 4) and (x₂, y₂ ) = (2, - 5)

m = [tex]\frac{-5-4}{2+10}[/tex] = [tex]\frac{-9}{12}[/tex] = - [tex]\frac{3}{4}[/tex], thus

y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation of the line

To find c substitute either of the 2 given points into the partial equation

Using (2, - 5), then

- 5 = - [tex]\frac{3}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{3}{2}[/tex] = - [tex]\frac{7}{2}[/tex]

y = - [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{2}[/tex] ← equation of line

Answer: 1 1/3 hours

Step-by-step explanation:

3/4 hour = 45 minutes

7/12 hour =35 minutes

45 +35 = 80 minutes ÷ 60 minutes = 1 1/3 hours

Answer:

The son is now 20. The father is now 60

Step-by-step explanation:

The son was 10, ten years ago. Five times that was 50 years, the age of the father. Now they have both aged 10 years, and the son is 20 and the father is 60. Add them together, and it makes 80.

CAN EXPLAIN FURTHER

appreciate brainliest but it doesn't matter

Answer:

20 years old

Step-by-step explanation:

10 → Ten years ago

50 → The father was five times as old as his son.

Current Ages

20 → Son

60 → Father

[tex]20 + 60 = 80[/tex]

I am joyous to assist you anytime.

Answer:

470

Step-by-step explanation:

1000 x 0.53 = 530

1000 - 530 = 470

Answer:

x

Step-by-step explanation:

7x+18−6(x+1)−12

start out with distributive property

7x+18+(-6x)+(-6)+(-12)

then add the common things together

x+0

answer is just x, or infine answers, you could put in anything for x

Answer:

they are multiplicative inverses because to find the inverse of a number you change it from positive to negative or vice versa, and you have to change it to it's inverse. to do this you have to put it in fraction form if it isn't already (so 5 would be 5/1) and flip it (5/1 flipped would be 1/5)

Step-by-step explanation:

They are reciprocals, that is why they are multiplicative inverse.

If we have a number, then reciprocal of that number is called multiplicative inverse of the number.

Example : If m be a number then 1/m is its multiplicative number.

Here the number be -5.

Reciprocal of this number is -1/5

We know that reciprocal of a number is called multiplicative inverse.

So, -5 & -1/5 are multiplicative inverse of each other.

Learn more about multiplicative inverse here :

https://brainly.com/question/24308725

#SPJ2

Answer:

Step-by-step explanation:

Yes, they have a proportional relationship.

The table shows sequences, where x-values increase +3, and y-values increase +5, that is, while x increases 3 unites, y increases 5 units, this ratio between variables can be described as the slope:

[tex]m=\frac{13-(-2)}{12-3} =\frac{15}{9}=\frac{5}{3}[/tex]

This fraction or ratio is referring to what we said in words, while y increases 5 units, x increases 3 units. We observe that is a positive ration, this means that magnitudes are both increasing.

Therefore, the right answer is the first one A.

Answer:

P = 52.5

Step-by-step explanation:

P = ( L + L ) + ( W + W )

P = ( 12.25 + 12.25 ) + ( 14 + 14 )

P = 24.5 + 28

P = 52.5

Hello!

because of the way Clinton's yard is measured, it must be a rectangle.

here is the equation to find the perimeter of a rectangle:

L2 + W2 = P

12.25 * 2 = 24.5

14 * 2 = 28

24.5 + 28 = 52.5

your answer is: The perimeter of Clinton's yard is 52.5 Meters

I hope this helps, and have a nice day!

Answer:A) What are the side lengths of the original triangle, ABC?

B) What are the side lengths of the enlarged, A’B’C?

C) Calculate the area and the perimeter of A’B’C.

The required measure of the angle x and y is 45° and 109° respectively.

A triangle with two sides and two congruent angles is called an isosceles triangle.

Here,
A)

triangle is isosceles, so the two angles will be equal, and the sum of the angles in the triangle is 90°.
2x + x + x = 180
4x = 180
x = 180 / 4

x = 45

Similarly,
(B)
Some of the remote interior angles is equal to the remote exterior angle,
71 + (180 - 142) = y
y = 71 + 38
y = 109°

Thus, the required measure of the angle x and y is 45° and 109° respectively.

Learn more about the isosceles triangle here: https://brainly.com/question/2456591
#SPJ2

Answer:

Its 24

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

a. x=4, y=2

plug it in:

4+20=6 true

b. x=3, y=3

3+3=6

3=3+2

3=5 not equal

c. x=2,y=4

2+4=6

2=4+2

2=6 not true

d. x=6, y=4

6+4=6 not true

6=4+2

Answer:

a.  13xyz + 9 + 2xyz + 3

13xyz+2xyz+ 9+3 ( combine like terms)

15xyz+12

b. 6ab + (–2ab) + 4 + 6

6ab-2ab+4+6

4ab+10

Answer:

a. 13xyz + 9 + 2xyz + 3

Combine the coefficents of the like monomials.

(13 + 2 = 15)

15xyz + 9 + 3

Add the constants (9 + 3 = 12).

Answer: 15xyz + 12

b. 6ab + (–2ab) + 4 + 6

Combine the coefficents of the like monomials.

[6 + (–2) = 4]

4ab + 4 + 6

Add the constants (4 + 6 = 10).

Answer: 4ab + 10

Step-by-step explanation:

straight from Penn

Answer:

B) The sum of the squared residuals

Step-by-step explanation:

Least Square Regression Line is drawn through a bivariate data(Data in two variables) plotted on a graph to explain the relation between the explanatory variable(x) and the response variable(y).

Not all the points will lie on the Least Square Regression Line in all cases. Some points will be above line and some points will be below the line. The vertical distance between the points and the line is known as residual. Since, some points are above the line and some are below, the sum of residuals is always zero for a Least Square Regression Line.

Since, we want to minimize the overall error(residual) so that our line is as close to the points as possible, considering the sum of residuals wont be helpful as it will always be zero. So we square the residuals first and them sum them. This always gives a positive value. The Least Square Regression Line minimizes this sum of residuals and the result is a line of Best Fit for the bivariate data.

Therefore, option B gives the correct answer.

The only correct option that is minimized by the least squares regression line is;

Option B; the sum of the squared residuals.

We want to find the correct option that minimizes the line. Let's look at the options ;

Option A; This statement is not correct because If you do a summation of the residuals, you would get a value of 0.

Option B; Since error needs to be minimized so that the line is a close to the points as possible and as seen above that the sum of the residuals is zero. Then before we sum them, we need to first of all square the residuals which will always give a positive value. Thus, since the Least Square Regression Line minimizes the sum of residuals, then this option is correct.

Option C; This option is wrong because the sum of the absolute values of the residuals is not a method for in creation of least squares regression line

Option D; This option is wrong because the influence of outliers has nothing to do with the topic in question.

Option E; This option is wrong too because slope has nothing to do with the topic in question.

Read more at; https://brainly.com/question/13464184

Answer:

the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

the last one

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this firm use the method of completing the square

Factor out - 1 from each term

y = - (x² - 9x + 12)[tex]\frac{33}{4}[/tex]

To complete the square

add/subtract (half the coefficient of the x- term )² to x² - 9x

y = - (x² + 2( - [tex]\frac{9}{2}[/tex])x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 12 )

  = - ( (x - [tex]\frac{9}{2}[/tex])² - [tex]\frac{33}{4}[/tex] )

y = - (x - [tex]\frac{9}{2}[/tex] )² + [tex]\frac{33}{4}[/tex] ← in vertex form