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11111nata11111 [884]
3 years ago
9

A museum offers a 2 hour guided group tour. For groups with fewer than 35 people the cost is $12.25 per

Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Answer:

The total refund that the museum owes the 11:00am group is $28.50

Step-by-step explanation:

$12.25*38 = $465.50

$11.50*38 = $437

Subtract: $465.50 - $437 = $28.50

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Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6)
Katen [24]

Answer:

\large\boxed{y=-2x+14}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).

\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:

6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14

6 0
3 years ago
Read 2 more answers
Help help help help help help help help
netineya [11]

Answer:

5 cartons  of eggs

3 packages  of steaks

Total cost=$55

Step-by-step explanation:

Hi, to answer this question we have to find the least common multiple of  

6 (number of eggs in a carton) and 10 (number of ham steaks in each package)

LCM = 30

6 12 18 24 30

10 20 30 40 50

Since each carton of eggs (x) has 6 eggs, that expression must be equal to 30(eggs) to find the number of cartons.

6 (x ) = 30

Solving for x

x = 30/6

x = 5 cartons

Same process for the steak, where y= number of packages .  

10 y = 30

y = 30/10

y=3 packages

Since each carton costs $2 and each package of steaks cost $15:

Total Cost =x 2+y 15  

Replacing with the values of x and y calculated

Total cost = (5)2 + (3)15 = 10+45 =$55

Feel free to ask for more if needed or if you did not understand something.

6 0
3 years ago
Which words in the sentence is the predicate nominative your new dog from the animals shelter might be a collie or a greyhound c
ValentinkaMS [17]
I'll have to say the answer is 
B and A 
7 0
3 years ago
Please Help! Will mark brainiliest!!<br><br> 1. y varies directly as x and inversely as z.
Paladinen [302]

Answer:

x = 5

z =2

y =4.4

Step-by-step explanation:

y varies directly as x

y = kx

and inversely as z

y = kx/z

Putting in the numbers in the first line of the table, we can solve for k

13.75 = k * 25/4

Multiply by 4

13.75*4 = 25k

55 =25k

Divide by 25

55/25 = 25k/25

2.2 = k

Now we can fill in the table

y = 2.2 x/z

Row 2 we need to find x

1 = 2.2 x/11

Multiply by 11

11 = 2.2 x

Divide by 2.2

11/2.2 = 2.2x

5 =x

Row 3 we need to find z

18.7 = 2.2 *17/z

18.7 = 37.4 /z

Multiply by z

18.7z = 37.4

Divide by 18.7

18.7/18.7z = 37.4/18.8

z =2

Row 4 we need to find y

y = 2.2 *10/5

y = 22/5

y =4.4

8 0
4 years ago
What is the answer to -2/3x4
vova2212 [387]

Answer

-8/3 (fraction)

or in decimal form it would be -2.6 (the six would be repeating)

Step-by-step explanation:

7 0
3 years ago
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