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2 years ago

Solve for n and simplify: n/15=24/16

Mathematics

1 answer:

Andrew [12]2 years ago

5 0

Answer:

n=45/2

n=22.5

22 1/2

Step-by-step explanation:

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The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what

Papessa [141]

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

$\text{Combined number of cellists and violinists}=7x+3x$

$\text{Combined number of cellists and violinists}=10x$ ...(i)

Number of violinists in the school orchestra = 21

$7x=21$

Divide both sides by 7.

$x=3$

Now, the combined number of cellists and violinists is

$\text{Combined number of cellists and violinists}=10(3)$ [Using (i)]

$\text{Combined number of cellists and violinists}=30$

Therefore, the combined number of cellists and violinists is 30.

5 0

2 years ago

(5 x 10,000)+( 4 x 1,000)+(5 x 100)+(2 x 10)+(4 x 1)+(3 x 0.1)+(2 x 0.01) in standard form

fomenos

It is 54524.32.

Hope it helps

7 0

2 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

7 0

2 years ago

Bus A and Bus B leave the bus depot at 3 pm.

katrin [286]

Step-by-step explanation:

Bus A leave depot at = 3pm

Bus B leave depot at = 3 pm

both leave depot at 3 pm so

Bus A complete its route in25 mins

Bus A reach at his point at 3:25 pm

Bus B complete its route in 30 mins

Bus B reach at his point at 3:30 pm

If the buses go back to depot it will take 25 mins so Bus A reach back at depot at 3:50 pm

Bus B at 4:00 pm

3 0

2 years ago

What time is 100 minutes before 4:00 p.m.

Gnesinka [82]

2:20

60 minutes subtracted from 4 p.m. is 3 p.m. Since it was 100 minutes, there are 40 minutes to take away from 3 p.m.

7 0

3 years ago

Read 2 more answers