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lawyer [7]
2 years ago
15

In a school of 1600 students, the ratio of teachers to students is 1:16.

Mathematics
1 answer:
a_sh-v [17]2 years ago
4 0

Answer:

The number of teacher who joined the school is 20

Step-by-step explanation:

Teacher : Students = 1 : 16

Number of teachers = 1x

Number of students = 16x

16x = 1600

x = 1600/16

x = 100

Number of teachers at the beginning = 100

Now, after some teachers (let it be y) joining the school,

Teacher : students = 3:40

\frac{100+y}{1600}=\frac{3}{40}\\\\40*(100+y)=3*1600\\\\4000+40y = 4800\\\\40y=4800-4000\\\\40y=800\\\\y=\frac{800}{40}\\\\y=20

The number of teacher who joined the school is 20

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Triangle IUP has angles I=50, U=60, P=70. What side is the longest side of the triangle?
Evgesh-ka [11]
If triangle IUP has angles I=50, U=60, P=70. The longest side of the triangle would be IU because if you draw the triangle and put the amounts of the angles in the correct place you draw a line across from the biggest angle to the side across from it and that gives you the longest side
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1 year ago
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Janice and her dad are building a treehouse. Her dad bought a box of 155 nails for $3.10 and a box of 85 screws for $7.65. How m
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3.10/155= 0.02 } subtract = 0.07 more
7.65/85= 0.09 }
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As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.11.
Elis [28]

Answer:

124.67cm³

Step-by-step explanation:

==>Given:

Dimensions of current can:

Height (h) = 12cm

Diameter = 6cm (radius = 3cm)

Volume of current can (V1) = 339.12 cm³

Dimensions of future cans to be increased multiple of 1.11:

height = 12cm × 1.11 = 13.32 cm

radius = 3cm × 1.11 = 3.33 cm

Volume of future can (V2) = πr²h = 3.14*3.33²*13.32

= 3.14*11.0889*13.32 = 463.791025

V2 ≈ 463.79 cm³

==>Find how much more would new cans hold = Volume of new can - volume of current can

= 463.79 cm³ - 339.12 cm³

= 124.67cm³

5 0
2 years ago
Write the following numbers in order of size.
choli [55]

Answer:

0.02, 0.152, 0.2 0.37, 0.4

Step-by-step explanation:

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Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and e
guapka [62]

Answer: Daniel bought 3 apples and 7 bananas.

Step-by-step explanation:

Let x represent the number of apples that Daniel bought.

Let y represent the number of bananas that Daniel bought.

He bought a total of 10 apples and bananas altogether. This means that

x + y = 10

Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. This means that

1.75x + 0.7y = 10.15 - - - - - - - - - - - 1

Substituting x = 10 - y into equation 1, it becomes

1.75(10 - y) + 0.7y = 10.15

17.5 - 1.75y + 0.7y = 10.15

- 1.75y + 0.7y = 10.15 - 17.5

- 1.05y = - 7.35

y = - 7.35/- 1.05

y = 7

x = 10 - y = 10 - 7

x = 3

4 0
1 year ago
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