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3 years ago

A flagpole casts a showdown 15 feet long the 6 foot tall man casts a shadow 4 feet long how tall is the flag pole

1 answer:

5 0

Set it up as a ratio:
mans shadow over mans height (4/6 ) equals flag pole shadow over flag pole height (15/x)

set them to equal each other:

4/6 = 15/x

cross multiply: 4*x =4x, 15*6 = 90

so you have 4x = 90

now divide both sides by 5 to solve for x, which is the height of the flag pole:

x = 90 / 4 = 22.5 feet tall

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the ratio of black bags to blue bags is 5 to 3. If there are a total of 185 black bags, then how many blue bags are there?

nlexa [21]

Answer:

There are 111 blue bags

Step-by-step explanation:

Let

x ----> the number of black bags

y ---> the number of blue bags

we know that

$\frac{x}{y}=\frac{5}{3}$

isolate the variable y

$y=\frac{3}{5}x$ -----> equation A

$x=185$ ----> equation B

substitute equation B in equation A

$y=\frac{3}{5}(185)$

$y=111$

therefore

There are 111 blue bags

8 0

3 years ago

What is the slope of the function, represented by the table of values below ?

Komok [63]

For a given function, slope is defined as the change in outputs, or y-values divided by the change in inputs, or x-values. In essence the slope asks "For a given change in x, how much does y change?" or even more simply: "How steep is the graph of this function?". This can be represented mathematically by the formula:
$m=\frac{rise}{run}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Since we have a table of x,y pairs it's the last form of that equation that will be the most useful to us. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-10}{0-(-2)}=\frac{-6}{2}=-3$

We can check this answer by using a different pair, say the last two:
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-23)-(-14)}{9-6}=\frac{-9}{3}=-3$ .

As a common sense check: Our y-values get smaller as our x-values get bigger so a negative slope makes sense.

m=-3

5 0

3 years ago

u don’t need to do the explanations for the questions. Just answer each expression with correct/incorrect. thank-you :)

tigry1 [53]

Answer:

correct

incorrect

correct

5 0

3 years ago

I need help on these ASAP !!!

liq [111]

Answer:

IDK.

Step-by-step explanation:

Ask ur teacher for help.

I hope this helps u.

7 0

3 years ago

Read 2 more answers

B-c,when b=8 and c=7

elixir [45]

If I understand your question correctly then it's simple all you have to do is use the numbers in the place of the b and c so the question would be what is 8-7 which equals 1

8 0

3 years ago