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3 years ago

Jean loves to go bird watching. One day, she saw 7 birds.The next day, she

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

Answer:

Jaw saw an average of 6 birds each day

Step-by-step explanation:

Given: One day, Jean saw 7 birds. The next day, she saw 11 birds. The next day, she saw no birds.

To find: average number of birds Jean saw each day

Solution:

Average is a central value of a set of terms.

Average of terms $x_1,x_2,x_3,...,x_n$ is given by $\frac{x_1+x_2+x_3+...+x_n}{n}$

Number of birds, Jean saw on day one $(x_1)$ = 7

Number of birds, Jean saw on the second one $(x_2)$ = 7

Number of birds, Jean saw on the third one $(x_3)$ = 7

So,

average number of birds Jean saw each day = $\frac{x_1+x_2+x_3}{3} =\frac{7+11+0}{3}=\frac{18}{3}=6$

Therefore,

Jaw saw an average of 6 birds each day

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3 years ago

Newberg City Cafe recently introduced a new flavor of coffee. They served 23 grande cups and 51 jumbo cups of the new coffee tod

yuradex [85]

Answer:

Grand coffee cup = 1469 gm

Jumbo coffee cup = 60 gm

Step-by-step explanation:

Let x be the grande coffee cup and y be the jumbo coffee cup.

Solution:

From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.

So, the equation is.

$23x+51y = 36846$ ---------(1)

From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.

$58x+68y=59460$ ----------(2)

Solve the equation 1 for x.

$23x = 36846-51y$

$x=\frac{36846}{23}-\frac{51}{23}y$

$x=1602-\frac{51}{23}y$ ---------(3)

Substitute $x=1602-\frac{51}{23}y$ in equation 2.

$58(1602-\frac{51}{23}y)+68y=59460$

$92916-\frac{51\times 58}{23}y+68y=59460$

$-\frac{2958}{23}y+68y=59460-92916$

$\frac{-2958+1564}{23}y=-33456$

$\frac{-1394}{23}y=-33456$

Using cross multiplication.

$y=\frac{-23\times 33456}{-1394}$

$y = 55.99$

y ≅ 60 gram

Substitute y = 60 in equation 3.

$x=1602-\frac{51}{23}\times 60$

$x=1602-\frac{3060}{23}$

$x=1602-133.04$

$x = 1469$ grams

Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm

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