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Tamiku [17]
1 year ago
9

5. If there are 9 girls in a class of 40 students. What is the ratio of boys to girls?

Mathematics
2 answers:
natima [27]1 year ago
5 0

Answer:

Step-by-step explanation:

number of boys=40-9=31

boys:girls::31:9

Nataliya [291]1 year ago
4 0

Answer:

9:5

hope this helps

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An initial deposit of $45,000 grows at an annual rate of 10% for 20 years. Compare the final balances resulting from continuous
Ugo [173]

Answer:

Annual:         $302 737.50

Continuous: $332 507.52

Step-by-step explanation:

A. Compounded annually

The formula for <em>compound interest</em> is

A = P(1 + r)ⁿ

Data:

P = $45 000

r  = 10 %

t = 20 yr

Calculations:

n = 20

A = 45 000(1+ 0.10)²⁰

  = 45 000 × 1.10²⁰

  = 45 000 × 6.727 499 95

  = $302 737.50

B. Compounded continuously

The formula for <em>continuously compounded inerest</em> is

A = Pe^{rt}

A = 45 000e^{0.10 \times20}

= 45 000e^{2.0}

  = 45 000 × 7.389 056 61

  = $332 507.52

4 0
3 years ago
A truck driver needs to drive 400 miles. The drivers average speed for the first 180 miles is b miles per hour. The drivers aver
nordsb [41]

Step-by-step explanation:

speed = distance/time

time = t = distance/speed

t = 180/b + (400-180)/c = 180/b + 220/c = 20(9/b + 11/c)

7 0
2 years ago
A solid shape is made by joining two cones.
dlinn [17]

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

<h3>How to determine the radius?</h3>

The given parameters are:

  • Cone 1: slant height, l = 2r
  • Cone 2: slant height, L = 3r
  • Surface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

brainly.com/question/6613758

3 0
2 years ago
When the transformation (x,y) → (x + 10, y + 5) is
serious [3.7K]

Answer:

its 3.05

Step-by-step explanation:

5 0
3 years ago
Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic
antoniya [11.8K]
The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Step-by-step explanation :
The given expression is,




To solve this problem we are using quadratic formula.
The general quadratic equation is,

Formula used :

Now we a have to solve the above equation and we get the value of 'x'.

a = 3, b = -2, c = 0






The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
8 0
2 years ago
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