1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lord [1]
3 years ago
6

There are five boys to every nine girls in an introductory engineering course .if there are 364 students enrolled in the course

, how many are boys ?
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

234

Step-by-step explanation:

So what we know is that

5x+9x= students

This equation is saying that for every 5 boys there are 9 girls

we can then plug in 364 for the number of students and add like terms

This means that 14x=364

this means that x=26

This means that there are 26 sets of 5 boys and 9 girls

this means that there are

130 boys

234 girls

You might be interested in
A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row
wolverine [178]

Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S_{n} = \frac{n}{2} (a + l), where

  • a is the first term
  • l is the last term
  • n is the number of the terms

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S_{n} = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = \frac{n}{2}(26 + 150)

∴ 2,816 = \frac{n}{2}(176)

∴ 2,816 = 88n

→ Divide both sides by 88

∴ 32 = n

∵ n represents the number of the rows

∴ The theater has 32 rows

3 0
2 years ago
A conveyor belt carries bales of hay from the ground to the loft of a barn 27 feet
DENIUS [597]

<u>Given</u>:

A conveyor belt carries bales of hay from the ground to the loft of a barn 27 feet  above ground.

The belt makes an 30° angle with the ground.

We need to determine the distance that the bale of hay travel on the conveyor belt.

<u>Distance that the bale of hay travel on the conveyor belt:</u>

The distance that the bale of hay travel on the conveyor belt can be determined using the trigonometric ratio.

Let the distance that the bale of hay travel on the conveyor belt be x.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting \theta=30^{\circ}, opp=27 and hyp=x

Thus, we get;

sin \ 30^{\circ}=\frac{27}{x}

Simplifying, we get;

x=\frac{27}{sin \ 30^{\circ}}

x=\frac{27}{(\frac{1}{2})}

x=54

Thus, the value of x is 54 feet.

Hence, the distance that the bale of hay travel on the conveyor belt is 54 feet.

7 0
3 years ago
If 2/3 of a pound of metal costs $6, how much does a pound cost?
ehidna [41]
$9, since 2/3 = $6 that must mean 1/3 = $3 so if one equals $3x3=$9
7 0
3 years ago
Read 2 more answers
3. One of the fireworks is launched from the top of the building with an initial
algol13
The answer is G hope i helped and god bless

4 0
2 years ago
Barbara completely fills her mug with a mixture of 15ml hoy chocolate and 35 ml of cream. what percent of the mixture is not cho
lora16 [44]
There is 50mL of liquid altogether.
35mL is not chocolate.
35/50 is not chocolate.
35/50 = 70/100
70/100 = 70%
70% of the mixture is not chocolate.
7 0
3 years ago
Other questions:
  • i will give u brainlyist plz When 1/3 is written as a repeating decimal, which digits are repeating? A. 27 B. 37 C. 73 D. 28
    8·1 answer
  • How much will you pay for 5 pounds of shrimp if the cost is 2 pounds for $10.99? show your work.
    10·1 answer
  • In the air, it had an average speed of 16 1616 m/s m/sstart text, m, slash, s, end text. In the water, it had an average speed o
    14·1 answer
  • Which is the correct classification of sqrt 32
    14·2 answers
  • Number 13 I don't get it
    10·1 answer
  • A lorry tank was 1/6 full of petrol when the gauge indicated 17 litres. What is the full capacity of the tank in litres?​
    5·2 answers
  • Find the area of triangle PQR if PQ = QR = 12 and angle PQR = 120
    5·1 answer
  • 2. explain what two integers your answer is between. my answer is 76.4 infinite 4s
    9·2 answers
  • PLEASE HELP I NEED THIS QUICK
    7·2 answers
  • Graph a line with a y-intercept of -3 and a slope of 1/2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!