At a baseball game, 56% of people attending were supporting the home team, while 44% were supporting the visiting team. If the total number of people attending the game was 3000, how many people attending were supporters of the home team?

Answer: Angle B = 32deg, Angle D = 43deg, and Angle F = 105deg

Step-by-step explanation:

Angle B = Angle C, Angle D is on a line = to 180 deg, the line is intercepted into a 137deg portion, and a 43deg portion, all angles in a triangle add up to 180, so 32+43=75, 180-75=105 (Angle F)

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The three numbers, in order that will unlock the safe are 2, 2, 4.

We know that there are 8 numbers on each dial. Suppose, The dial is in a shape of a circle. Now, we can divide it into 8 equal pieces with same angles.

For each piece, the angle formed is 360/8 = 45°    ( As in a circle, total angle formed without any divisions is 360° )

Now, When we turn the left dial 90° counterclockwise ( anticlockwise)

that is 45° + 45° ( two times 45°). Therefore, the dial moves by two places and we get the first number = 6 ( from 8 to 7 and then from 7 to 6).

Now, We turn the middle dial 270° clockwise. And get 45° + 45° + 45° + 45° + 45° + 45° (six times 45°). Therefore, the dial moves by six places. Hence, we get the second number = 2.

Now, We turn the right dial 180° counterclockwise that is anticlockwise or in backward direction. 180° = 45° + 45° + 45° + 45° ( four times 45°). Therefore, the dial moves by six places and thus we get our third number = 4.

Therefore, The three numbers, in order that will unlock Benicio's safe are 2, 2, 4.

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Answer:

a. 5

b. 10

c. 15

d. 4

e. 6

f. 9

Step-by-step explanation:

It asks for the indicated distance, which would translate as the absolute value of the distance between the two points. Using that, it is simple subtraction to find your answer.

Answer:

B

Step-by-step explanation:

The domain of a graph is its turning point

Answer:

Step-by-step explanation:

Answer:

measure of line segment AB

Answer:65.72

Step-by-step explanation: first you multiply 62 x 0.06 which is 3.72  and you add 3.72 to 62 which is 65.72

Answer:

535 is not equal to 360

Step-by-step explanation:

the total interior angle = 360 degree

180-80=100

180-80=100

180-75=105

180-70=110

180-60=120

100+100+105+110+120= 535 which is not equal to 360. Since the total interior angle is not 360, Jay's measurements are wrong .

a = amount invested at 6.3%

how much is 6.3% of "a"? (6.3/100) * "a", namely 0.063a.

b = amount invested at 7.1%

how much is 7.1% of "b"? (7.1/100) * "b", namely 0.071b.

we know the total amount invested is $15,000, so whatever "a" and "b" might be, we know that a + b = 15000.

we also know that the yielded amount in interest is $1050, so if we simply add their interest, that'd be 0.063a + 0.071b.

[tex]\begin{cases} a + b = 15000\\ b = 15000 - a\\[-0.5em] \hrulefill\\ 0.063a+0.071b=1050 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.063a+0.071(\underset{b}{15000-a})=1050}\implies 0.063a+1065-0.071a=1050 \\\\\\ 0.063a-0.071a=-15\implies -0.008a=-15\implies a=\cfrac{-15}{-0.008} \\\\\\ \boxed{a = 1875}\hspace{15em}\boxed{\stackrel{15000~~ - ~~1875}{b = 13125}}[/tex]

Answer: what the states says to

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

22+86=108

Answer:

108 baseball cards

Step-by-step explanation:

x = baseball cards he started with

x - 22 = 86

add 22 to both sides

x = 108

108 baseball cards

Reason:

Your teacher wants you to find out how many elements are in set A.

Focus on the numerators only.

That sequence is 1,2,3,..., 37,38 which consists of 38 numbers.

If you wanted to focus on the denominators, then we go from 3 to 40 which is a gap of 40-3 = 37, but then add on 1 to account for the first item. So we get to 37+1 = 38.

Answer:

-43

Step-by-step explanation:

-4(-3)² + 2(-3) - 1

=-4×9+2(-3)-1

=-36+2(-3)-1

=-36-6-1

=-43

This is likely what Jeremy did

[tex]\frac{2\text{x}^2-10}{\text{x}-5}-\frac{\text{x}^2+15}{\text{x}-5}\\\\\frac{2\text{x}^2-10-\text{x}^2+15}{\text{x}-5}\\\\\frac{\text{x}^2+5}{\text{x}-5}\\\\[/tex]

The error happens in line 2

This is what his steps should be

[tex]\frac{2\text{x}^2-10}{\text{x}-5}-\frac{\text{x}^2+15}{\text{x}-5}\\\\\frac{2\text{x}^2-10-(\text{x}^2+15)}{\text{x}-5}\\\\\frac{2\text{x}^2-10-\text{x}^2-15}{\text{x}-5}\\\\\frac{\text{x}^2-25}{\text{x}-5}\\\\\frac{(\text{x}-5)(\text{x}+5)}{\text{x}-5}\\\\\text{x}+5[/tex]

On the 2nd step, we subtract all of (x^2+15) and not just the x^2 part. The negative distributes to each term in step 3. Then we combine like terms, factor and cancel out the (x-5) terms.

Therefore, [tex]\frac{2\text{x}^2-10}{\text{x}-5}-\frac{\text{x}^2+15}{\text{x}-5}=\text{x}+5[/tex] is an identity as long as [tex]\text{x} \ne 5[/tex] to avoid a division by zero error.

Answer:
J: (-4,5)
K: (-4,4)
L: (-5,4)
K: (-6,6)

Step-by-step explanation:

The number of tickets for general admission is 75 and with student id's is 105.

Given that,

Tickets of a program at college cost ​$5 for general admission or ​$4 with a student ID.
180 people paid to see a performance and ​$795 was​ collected, how many of each type of ticket were​ sold is to be determined.

Here,
Number of admission with general admission = x
Number of admission with college id = y

According to the given conditions,
x + y = 180
x = 180 - y      - - - - - - (1)
5x + 4y = 795   - - - - - (2)

Now put the value of the equation in equation 2
5 (180 - y) + 4y = 795
900 - 5y + 4y = 795
-y = 795 - 900
-y = -105
y = 105

Now put y in equation 1

x = 180 - 105
x = 75

Thus, the number for tickets with general admission is 75 and with student id is 105.

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The required measure of the angle of the trapezoid is 50° and 101°.

The angle can be defined as the one line inclined over another line.
Where angle measures in degree and radian.

Here,
For trapezoid one 1.
The Sum of the adjacent angle is 180°.
So, 130 + ∠C = 180
∠C = 180 - 130
∠C = 50

For trapezoid 2.
Sum of all the angle should be equal to 360°
but ∠Q = ∠S
110 + 48 + 2∠Q = 360
∠Q = 101°

Thus, the required measure of the angle of the trapezoid is 50° and 101°.

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We need 251.33 gallons of the milk with 7% butterfat and 126.67 gallons of the milk with 4% butterfat to make the desire 378 gallons.

Given,

The amount of milk needed in the dairy = 378 gallons

The quantity of butterfat needed in the milk = 6%

We have to find the amount of milk containing 7% and 4% butterfat used to obtain 378 gallons:

Now,

The amount of milk containing 7% butterfat = x gallons.

The amount of milk containing 4% butterfat = y gallons.

Now, we can have the equation as:

x + y = 378

Percentage of butterfat needed = 6%

0.07x + 0.04y = 0.06 x 378

0.07x + 0.04y = 22.68

Solve for x and y :

x + y = 378        ---------------------- (1)

0.07x + 0.04y = 22.68  -------------- (2)

From Equation (1) :

x + y = 378

x = 378 - y ------------------ Substitute into (2)

0.07(378 - y) + 0.04y = 22.68

26.48 - 0.7y + 0.04y = 22.68

26.48 - 0.03y = 22.68

26.48 - 22.68 = 0.03y

3.8 = 0.03y

y = 3.8 / 0.03

y = 126.67 ---- sub into (1)

x + y = 378

x + 126.67 = 378

x = 378 - 126.67

x = 251.33

Therefore,

Amount of milk containing 7% butterfat = x = 251.33 gallons

Amount of milk containing 4% butterfat = y = 126.67 gallons.

That is,

We need 251.33 gallons of the milk with 7% butterfat and 126.67 gallons of the milk with 4% butterfat to make the desire 378 gallons.

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Step-by-step explanation:

Using Simultaneous Equation

Substitution method

Recall

x+2y=13. equ.1

3x-5y=6. equ.2

equ.1=

x-2y=13

x=13-2y. equ.3

Substitute 'x' into equ.2

3(13-2y)-5y=6

39-6y-5y=6

39-11y=6

collect like terms

39-6=11y

33/11=11y/11

therefore y=3

Substitute 'y' into equ.1, equ.2 or equ.3

Recall equ.3

x=13-2y

x=13-2(3)

x=13-6

therefore x=7

x=7, y=3

Answer:

2.25 tons

Step-by-step explanation:

1 ton = 2000 pounds

Step-by-step explanation:

Please mark brainliest :)

Answer:

x=-14

Step-by-step explanation:

7x+156=9x+184

2x=-28

x=-14

Answer:

i'm not sure the second is right

Answer:

2D

Step-by-step explanation:

i times two is 5

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{13}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{10})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(~~7 - 13~~)^2 + (~~10 - 2~~)^2} \implies AB=\sqrt{( -6 )^2 + ( 8 )^2} \\\\\\ AB=\sqrt{ 36 + 64 } \implies AB=\sqrt{ 100 }\implies AB=10[/tex]

The simplification of the given expression 4x(x-a) is 4(-x²+a).

So, -4x(x-a):

Therefore, the simplification of the given expression is 4(-x²+a).

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The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

In the question, we are given a set A = {10, 11, 12, 13}.

We are asked for the cardinal number of the set n(A).

Also, we are asked for the number of non-empty subsets of A.

The cardinal number of any set A is given as n(A), which represents the number of elements in set A.

For the given set A = {10, 11, 12, 13}, the number of elements are 4.

Thus, the cardinal number of the set A is, n(A) = 4.

The number of non-empty subsets of any set A, with cardinal number n, is given by the formula, 2ⁿ - 1.

The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4.

Thus, the number of non-empty subsets of set A = 2⁴ - 1 = 16 - 1 = 15.

Thus, the given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

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Answer:

25%

Step-by-step explanation:

1:4= 1/4

4×25= 100

1×25=25

25/100= 25%

(also 1/4 will always mean 25%)

The solution to the long division 6x³ - 8x + 5 divided by (2x-4) is 3x² - 6x + 8 and the remainder is -27

When 6x³ - 8x + 5 is divided by (2x-4) the answer in this format

q(x) + r(x) / b(x) is express as 3x² - 6x + 8

The long division application is uploaded as a picture below.

The answer should be express in this format:

q(x) + r(x) / b(x)

where,

The quotient is the result obtained by dividing one value by another. The quotient is 3x² - 6x + 8 .

The remainder is the number left over after performing the division. The remainder is -27

The divisor is the value that divides another completely or with a remainder. The divisor is 2x - 4

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