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Yakvenalex [24]
2 years ago
11

The ratio of boys to girls in weekend volunteers is 5 to 6. There are 24 girls in the group. How many boys are there?

Mathematics
2 answers:
Zanzabum2 years ago
5 0

there are 20 boys in the group.


Tcecarenko [31]2 years ago
3 0
So you take 24/6 which equals 4 and then you multiply 5 by that same number so 5x4 which equals 20
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What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the powe
vlabodo [156]
Ok first look at just the base 2s. 2^3/2^4 is 1/2
Then 3^-4*3^2/3^-3 is 3^-2/3^-3 is 3^3/3^2 is 3
Therefore the answer is 3/2
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3 years ago
Elvira and Aletheia live 3.1 miles apart on the same street. They are in a study group that meets at a coffee shop between their
Sophie [7]

Answer:

  • Elvira's speed: 3.0 mph
  • Aletheia's speed: 2.4 mph

Step-by-step explanation:

Let "e" and "a" represent the speeds of Elvira and Aletheia, respectively. Then the total distance they cover is ...

  distance = speed × time

  (1/2)e + (2/3)a = 3.1

And the relationship between their speeds is ...

  e - a = 0.6

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To solve this system, we can double the first equation and subtract the second to get ...

  2(1/2e +2/3a) -(e -a) = 2(3.1) -(0.6)

 7/3a = 5.6 . . . . . . . . . . simplify

  a = (3/7)(5.6) = 2.4 . . . multiply by 3/7

  e = a +0.6 = 3.0 . . . . . Elvira's speed is 0.6 mph more than Aletheia's

Elvira's walking speed is 3.0 miles per hour; Aletheia's is 2.4 miles per hour.

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3 years ago
WILL MARK BRAINLIST!!! <br> NEED CORRECT ANSWER ASAPPP
wariber [46]

Answer:

c) 11

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brot
Nat2105 [25]

Answer:

(b) is true

Step-by-step explanation:

Given

Molly

a = 500 --- starting balance

m = 10 --- monthly rate

Her brother

a = 100 ---- starting balance

r = 10\% --- annual rate

Required

Determine which option is true

First, we calculate her brother's function.

The function is an exponential function calculated as:

y = ab^x

Where b = 1 + r

So, we have:

y = ab^x

y = 100 *(1 + 10\%) ^x

y = 100 *(1 + 0.10) ^x

y = 100 *(1.10) ^x

Hence:

g(x) = 100 *(1.10) ^x

Next, we calculate Molly's function (a linear function)

The monthly function is:

y = mx + a

So, we have:

y = 10x + 500

Annually, the function will be:

y = 10x*12 + 500

y = 120x + 500

So, we have:

f(x) = 120x + 500

At this point, we have:

f(x) = 120x + 500 ---- Molly

g(x) = 100 *(1.10) ^x ---- Her brother

<u>Next, we test each option</u>

(a): Molly's account will have a faster rate of change over [32,40]

We calculated Molly's function to be:

y = 120x + 500

The slope of a linear function with the form: y = mx + b is m

By comparison:

m = 120

Since Molly's account is a linear function, the rate of change over any interval will always be the same; i.e.

m = 120

For his brother:

Rate of change is calculated using:

m = \frac{g(b) - g(a)}{b - a}

m = \frac{g(40) - g(32)}{40 - 32}

m = \frac{g(40) - g(32)}{8}

Calculate g(40) and g(32)

g(x) = 100 *(1.10) ^x

g(40) = 100 * 1.10^{40} =4526

g(32) = 100 * 1.10^{32} = 2111

So, we have:

m = \frac{4526 - 2111}{8}

m = \frac{2415}{8}

m = 302

By comparison: 302 > 120

Hence, her brother's account has a faster rate over [32,40]

(a) is false

(b): Molly's account will have a slower rate of change over [24,30]

m = 120 --- Molly's rate of change

For his brother:

m = \frac{g(b) - g(a)}{b - a}

m = \frac{g(30) - g(24)}{30 - 24}

m = \frac{g(30) - g(24)}{6}

Calculate g(30) and g(24)

g(x) = 100 *(1.10) ^x

g(40) = 100 * 1.10^{30} =1745

g(32) = 100 * 1.10^{24} = 985

So, we have:

m = \frac{g(30) - g(24)}{6}

m = \frac{1745 - 985}{6}

m = \frac{760}{6}

m = 127

By comparison: 127 > 120

Hence, Molly's account has a slower rate over [24,30]

(b) is false

(c): Molly's account will have a slower rate of change over [0,4]

m = 120 --- Molly's rate of change

For his brother:

m = \frac{g(b) - g(a)}{b - a}

m = \frac{g(4) - g(0)}{4 - 0}

m = \frac{g(4) - g(0)}{4}

Calculate g(4) and g(0)

g(x) = 100 *(1.10) ^x

g(4) = 100 * 1.10^4 =146

g(0) = 100 * 1.10^{0} = 100

So, we have:

m = \frac{g(4) - g(0)}{4}

m = \frac{146 - 100}{4}

m = \frac{46}{4}

m = 11.5

By comparison: 120>11.5

Hence, Molly's account has a faster rate over [0,4]

(c) is false

4 0
3 years ago
What is distributive property? <br>​
Svet_ta [14]

Answer:

To distribute means to divide something or give a share or part of something. For example, for the problem <em>4</em><em>(</em><em>6</em><em>+</em><em>2</em><em>)</em>, you would use the distributive property and distribute the 4. Making the end result, <em>2</em><em>4</em><em>+</em><em>8</em>.

5 0
2 years ago
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