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
AfilCa [17]
2 years ago
12

A certain high school has 1,488 students. If you subtract the number of girls from boys you get 78. Let x be the number of boys

and y be the number of girls.
Mathematics
1 answer:
Dahasolnce [82]2 years ago
3 0

Answer:

boys = 705

girls = 783

Step-by-step explanation:

We are to find the number of boys and girls in the school

the answer can be determined using simultaneous equation

x = boys

y = girls

y - x = 78  equation 1

y + x  = 1488 equation 2

subtract equation 1 from 2

2x = 1410

x = 1410/2 = 705

Substitute for x in equation 1

y - 705 = 78

y = 705 + 78 = 783

You might be interested in
Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont
love history [14]

Answer:

\approx 17.5% per annum

Step-by-step explanation:

<u>Given:</u>

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

<em>Interest is compounded annually.</em>

<u>To find:</u>

Rate of growth = ?

<u>Solution:</u>

First of all, let us have a look at the formula for compound interest.

A = P \times (1+\frac{R}{100})^T

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%

So, the correct answer is \approx <em>17.5% </em>per annum and compounding annually.

6 0
3 years ago
Mr Gordon bought 2 1/2 pounds of apples 1.25 pounds of pears and 3 3/4 pounds of oranges to his sister on the way home . How man
Anton [14]
The answer would be 7.5 pounds of fruit.
3 0
3 years ago
Read 2 more answers
After Squints gets the team banned from the pool, the guys from the Sandlot decide they need to build their own pool. They decid
pishuonlain [190]

Answer:

525 truckloads

Step-by-step explanation:

First we need to find the volume of the pool. This lets us know how much dirt must be moved.

25*19*5 = 2,375 cubic feet total.

Divide that by 4.53 cubic feet for each load, and we get 524.282 truckloads. Round up to the nearest integer for a final answer of 525 truckloads.

7 0
3 years ago
What are zeros of function y=2x2 -3x-20, and why
kykrilka [37]
4 and -2.5

You can get this by first factoring the equation. 

(2x + 5)(x - 4)

Then set both equal to zero and solve individually. 
4 0
3 years ago
In science class, Savannah measures the temperature of a liquid to be 34 ∘ 34∘   Celsius. Her teacher wants her to convert the t
Pavlova-9 [17]
93.2 degrees Fahrenheit
4 0
3 years ago
Read 2 more answers
Other questions:
  • Two dice are tossed 288 times. How many times would you expect to get a sum of 5?
    10·2 answers
  • Find the volume v of the described solid s. a pyramid with height 2h and rectangular base with dimensions 4b and 8b
    7·1 answer
  • Maria took a taxicab from her home to the theater
    12·1 answer
  • A sphere has a radius of 2.1 cm. what is the volume of sphere in cm3 (use 3.14 for π? round to the nearest whole number.
    9·1 answer
  • Plz help me with rhis ​
    8·1 answer
  • A chef makes a fruit salad using pears and mangos. Pears and mangos each cost $2.25 per fruit. The chef buys x pears and y mango
    12·1 answer
  • 4000
    12·1 answer
  • Find the value of 8^2/3
    10·2 answers
  • If there are 5 cow and they and 12 more cows how many cows are there
    14·2 answers
  • HELP NEEDED !!!<br> find the size of unknown angles
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!