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2 years ago

Solve the proportion.

Mathematics

1 answer:

Basile [38]2 years ago

5 0

Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8

Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4

Which means :-

6 : 8 :: c : 4

6/8 = c/4

= 6 × 4 = c × 8

= 24 = 3 × 8

c = 3

The ratio = 6 : 8 :: 3 : 4

Which means that C = 3 .

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There are 8 flowers in a garden. Some insects (butterflies and dragonflies) sit on flowers. There is no more than one insect per

tester [92]

Answer:

Step-by-step explanation:

x butterflies and y dragonflies

4 < x + y 《 8

x = 2y

4 < 2y + y < 8

4 < 3y < 8

Only multiple of 2 between 4 and 8 is 6

So 3y = 6

y = 2

x = 2y = 4

4 0

3 years ago

Read 2 more answers

PLZ HELP BRAINLIEST

Montano1993 [528]

Answer:

see explanation below

Step-by-step explanation:

You have three pairs of shoes (white, brown, and black), and you have 6 pairs of pants ( brown, blue, grey, white, sand, and black)

We use the Fundamental Counting Principle to find the number of possible pant-shoe combinations:

3 * 6 = 18

then we can find the probability of wearing by random selection brown shoes with either blue or grey pants:

prob (brown shoes & blue pants) + prob (brown shoes & grey pants) =

= 1/18 + 1/18 = 2/18 = 1/9

3 0

2 years ago

Mathematics Transform Exponential Functions<br>Please answer

Vitek1552 [10]

Answer:

g(x) = 6 * 3^x

Step-by-step explanation:

This is the answer because the question states that the graph is vertically stretched by a factor of 6. Since the parent function of an exponential function is f(x) = a * 3^(k(x-d)) + c, we plug in 6 for a, where we get g(x) = 6 * 3^x.

6 0

2 years ago

What’s the Y and X Intercept <br> 5x+10y=10

vfiekz [6]

Answer:

X intercept =6

Y intercept =3

Step-by-step explanation:

hope this helps

8 0

2 years ago

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Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

7 0

2 years ago