coach purchased footballs and basketballs from two different stores.
Each football costs the same amount, and each basketball costs the same
amount.
At the first store, the coach paid $110 for 5 footballs and 14 basketballs.
At the second store, the coach paid $82.50 for 10 footballs and 6
basketballs.
What was the cost in dollars of each basketball?

Answer:

I can only make an equation

20+30(4)+y(z)=X

Step-by-step explanation:

SO we know the registration fee is 20 dollars so that can’t change

We know that its 30 dollars for up to 4 visits so 30*4

THe Y is for the amount it take to ski after the 4 times

The Z is for the amount of times you went after the 4 times

So yeah

We know that 15 elves represent the 20% of the total.

Since 20% is one-fifth, the total number of elves is

[tex]15\cdot 5 = 75[/tex]

Alternatively, solve the proportion

[tex]15\div x = 20\div 100[/tex]

which yields

[tex]x=\dfrac{1500}{20}=75[/tex]

Answer:

A

Step-by-step explanation:

The product mean multiplication

Answer:

y = [tex]-\frac{1}{2}x+3[/tex]

Step-by-step explanation:

Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is give by,

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through the points (0, 3) and (2, 2),

m = [tex]\frac{3-2}{0-2}[/tex] = [tex]-\frac{1}{2}[/tex]

Y-intercept 'b' of the given line in the graph is (3).

Since, equation of line with slope 'm' and y-intercept 'b' is,

y = mx + b

Therefore,equation of the line given in graph will be,

y = [tex]-\frac{1}{2}x+3[/tex]

Answer:

A' = (-1, -1)

Step-by-step explanation:

Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,

A(x, y) → A'(kx, ky)

From the graph attached,

Coordinates of point A are (-3, -3) and it is dilated by a scale factor of [tex]\frac{1}{3}[/tex] about the origin then the coordinates of the image point A' will be,

A(-3, -3) → [tex]A'(-3\times \frac{1}{3},-3\times \frac{1}{3})[/tex]

             → A'(-1. -1)

Therefore, coordinates of A' = (-1, -1) is the answer.

Answer:

477.47 revolutions

Step-by-step explanation:

From the information given:

The formula for calculating the circumference = 2π r

Given that the radius of each wheel = 25 centimeter

Then, the circumference = 2 π (25)

= 50π cm

The distance traveled in 5 minutes is as follows:

Given that:

The speed = 45 km/ hour

i.e.

1 hour = 45 km

In an hour, we have 60 minutes

So, 60 minutes = 45 km

1 minute = 45/60 = 0.75 km

To cm;

0.75 km = (0.75 × 1000) m = 750 m

750 m = 750 × 100 = 75,000 cm

∴

The number of revolution in 5 minutes sInce 1 revolution =  50π cm is:

=  75,000 cm/ 50π cm

= 477.47 revolutions in 5 minutes

Answer to the problem: 189 beech trees

Answer:

89.6994g

Step-by-step explanation:

M = DV

   = 11.34g/cm^3 * 7.91cm^3

   = 89.6994g

Hope this helps!

Answer:

og

Step-by-step explanation:

Answer:

D. 4.5​

Step-by-step explanation:

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Answer:

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Step-by-step explanation:

Answer:

x = -5   y = 3

Step-by-step explanation:

-3x + 5y = 15

cancel out the y

-3x + 5(0) = 15

-3x = 15

divide both sides by -3

x = -5

-3x + 5y = 15

cancel out the x

-3(0) + 5y = 15

5y = 15

divide both sides by 5

y = 3

Hope this helps!!

9514 1404 393

Answer:

Step-by-step explanation:

If find that "substitution" works well for "mixture" problems like this. Usually, you will want to substitute for the lower-priced item, so that you're solving for the number of higher-priced items.

Let "a" and "k" stand for the number of adult and kid tickets, respectively.

  a + k = 54 . . . . . . total number of tickets sold

  8a +5k = 360 . . . total revenue

__

To substitute for k, we solve the first equation for k:

  k = 54 -a

Now, we substitute that into the second equation:

  8a +5(54 -a) = 360

  3a = 90 . . . . . . . . . . . subtract 270 from both sides; collect terms

  a = 30 . . . . . . . . . . . . divide by 3

  k = 54 -30 = 24 . . . . . use the above formula for k

The number of kids was 24; the number of adults was 30.

Answer:

x = 11

Step-by-step explanation:

3/6=5.5/x

Cross multiply.

3 * x = 6 * 5.5

x = 2 * 5.5

x = 11

Answer:

A is 30 degrees.

Step-by-step explanation:

cot A = 1/ tan A

Therefore 3 tan A = 1 / tan A

3 tan^2 A = 1

tan^2 A = 1/3

tan A = 1 /√3   is A is acute.

A = 30 degrees.

This is about trigonometric identities.

A = 30°

Tan A = sin A/cos A

Cosec A = 1/sin A

Sec A = 1/cos A

Cot A = 1/tan A

3 tan A = cot A

But we know from above that Cot A = 1/tan A

Thus;

3 tan A = 1/tan A

Rearranging to get;

(tan A)² = 1/3

tan A = √(1/3)

tan A = 1/√3

sin 30° = cos 60° = 1/2

sin 60° = cos 60° = (√3)/2

sin 45° = cos 45° = 1/√2

tan 30° = 1/√3

tan 60° = √3

tan 45° = 1

A = 30°

A is said to be an acute angle which means it is less than 90° and so it is correct.

Read more at; https://brainly.com/question/24836845

Answer:

I cant give you an answer but hints:

First you gotta know the angles of the triangle

then how many are there

then those lines in the middle is dividing lines so

right angles are 90 degrees

I would go for B then.

if not I'm sorry

Answer:

91.3

Step-by-step explanation:

Answer: 91.3

Step-by-step explanation: 7 is greater than 5, so it is okay to change the 2 to a 3 with no digits remaining afterwards.

Answer:

you will need 4 cups of brown rice because it says per cup of brown rice

Step-by-step explanation:

ok so,

5 cups of chicken broth= 1 cup of brown rice

so if there's 20 cups of chicken broth, then:

20/5(since 5 equals 1 cup of brown rice)

=4 cups of brown rice

Answer:

With the amount of fuel she has, she can drive 120 km which will take 2 hours.

Step-by-step explanation:

You need to figure out which information is necessary for this problem and which is not.

The fuel tank has 20 L.

The car drives 6 km per L.

20 L * 6 km/L = 120 km

She can drive 120 km with the amount of fuel she has.

She is driving at 60 km/h.

speed = distance/time

time * speed = distance

time = distance/speed

time = (120 km)/(60 km/h) = 2 hours

Answer: With the amount of fuel she has, she can drive 120 km which will take 2 hours.

m=-2

b=4

Slope=-2x+4

y<-2x+4

Answer:

16 17

Step-by-step explanation:

Answer:

i can't make the line becaause of mobile problem but i have maked a table please compromis

Step-by-step explanation:

Table 1

Marks Frequency Cumulative Frequency

0-10 2 2

10-20 8 10

20-30 12 22

30-40 18 40

40-50 28 68

50-60 22 90

60-70

70-80 6

4 96

100

Table 2

Class (marks ) Frequency

11-15 2

16-20 3

21-25 3

26-30 5

31-35 6

36-40 6

41-45 3

46-50 2

Total 30

Table 3

Time (in min) Frequency

15 7

20 15

25 17

30 3

35 14

40 2

Table 4

31 42 49 25 29

40 36 24 29 30

40 46 38 34 26

24 22 39 40 21

Answer to Question 1:

<OGE (also m˚) = 19˚

Step-by-step explanation:

We know that all the angles in a triangle add up to 180˚.

Given:

<EGO = 71˚

<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)

To Solve:

⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:

71˚ + 90˚ + <OGE = 180˚

⇒ Solve for <OGE by simplifying:

161˚ + <OGE = 180˚

⇒ Subtract 161˚ from both sides to get:

161˚ − 161˚ + <OGE = 180˚ − 161˚

⇒ Isolate <OGE:

<OGE = 19˚

Answer: <OGE (also m˚) = 19˚

Answer:

<OAC (also x˚) = 50˚

<OCB (also y˚) = 90˚

Step-by-step explanation:

–How to solve for <OCB (also y˚)

Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.

Answer: <OCB (also y˚) = 90˚

–How to solve for <OAC (also x˚)

Given (and what we can already know):

<AOC = 40˚

<OCA = 90˚

⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.

To Solve:

⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:

40˚ + 90˚ + <OAC = 180˚

⇒ Solve for <OAC by simplifying:

130˚ + <OAC = 180˚

⇒ Subtract 130˚ from both sides to get:

130˚ − 130˚ + <OAC = 180˚ − 130˚

⇒ Isolate <OAC:

<OAC = 50˚

Answer: <OAC (also x˚) = 50˚

I hope you understand and that this helps with your question! :)

Answer:

Step-by-step explanation:

Given

Solving in steps

The student's mistake was adding (-0.72) instead of - (-0.72) or 0.72

Answer:

To solve, you must use the inverse operation. In step 1, -0.72 should have been subtracted from both sides, not added. Otherwise, 0.72 should have been added to both sides, not -0.72.

Step-by-step explanation:

Answer:

The strategy is to find the x and y intercept of the given equation

Step-by-step explanation:

4x+3y≥12

In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;

x-intercept occurs at where y = 0

when y  = 0

4x + 3(0)≥12

4x ≥12

x ≥12/4

x≥ 3

Also y intercept occurs at where x = 0

4x+3y≥12

4(0)+ 3y ≥12

3y≥12

y≥12/3

y≥4

Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation

Answer:

130$

Step-by-step explanation: