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Vlad [161]
3 years ago
6

Nevaeh's car used 11 gallons to travel 352 miles. At what rate does the car use gas, in

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

Answer:

32

Step-by-step explanation:

divide 352 by 11

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Word problem: $32.95 for an adult ticket and $22.95 for a junior ticket. one day, the park collected $10,612 from a total of 360
seropon [69]

x + y = 360 \\ 32.95x + 22.95y = 10612
First, solve
x = 360 - y

Substitute that into equation
32.95(360 - y) + 22.95y = 10612 \\ 11862 - 32.95y + 22.95y = 10612 \\ 11862 - 10y = 10612 \\ 10y = 1250 \\ y = 125

Substitute y = 125 into
x = 360 - 125 \\ x = 235

There were 235 adult tickets and 125 junior tickets.

Hope this helps. - M
6 0
3 years ago
In a​ lottery, the top cash prize was ​$642 ​million, going to three lucky winners. Players pick five different numbers from 1 t
kramer

Answer:

\frac{10}{53 \times 46 \times 26}

Step-by-step explanation:

The probability of matching the number drawn on the gold ball is

\frac{1}{46}

The number of possible pairs of numbers from 1 to 53 is

\binom{53}{2}  =  \frac{53 \times 52}{2}  = 53 \times 26

Choosing 5 numbers, you are choosing 10 different pairs:

\binom{5}{2}  =  \frac{5 \times 4}{2}  = 10

Therefore the probability of correctly matching the drawn pair is

\frac{10}{53 \times 26}

Thus, the probability of winning (matching the pair AND the gold ball) is

\frac{10}{53 \times 46 \times 26}

4 0
3 years ago
Plz help with multiple choice
nikitadnepr [17]

Answer:

B

Step-by-step explanation:

Assume both their ages are J

One is 3 years older than the other, and the sum of their ages add up to 19

J+J+3=19

5 0
3 years ago
Read 2 more answers
Solve for x can someone please answer please
s344n2d4d5 [400]

Answer:

the triangles are in AA similarity.

Step-by-step explanation:

CB/DE = AB/AD

3/11 = x/9

cross multiply to get;

x = 2.45

6 0
3 years ago
Can anyone please help me with this attachment?
Vesna [10]

Answer:

Perimeter of the sector = (36 + 8π) cm.

Step-by-step explanation:

Formula to find the of an arc of the circle is,

Length of the arc = \frac{\theta}{360}(2\pi r)

Here, θ = central angle formed by the arc

r = radius of the circle

Therefore, length of the arc given in the picture = \frac{80}{360}(2\pi) (18)

                                                                                = 8π cm

Perimeter of the sector = Sum of all sides of the sector

                                       = Length of radius + length of the arc + length of radius

                                       = 18 + 8π + 18

                                       = (36 + 8π) cm

Perimeter of the sector is (36 + 8π) cm.

6 0
3 years ago
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