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ElenaW [278]
3 years ago
7

A tree casts a shadow 20 feet long at the same time the shadow cast by a vertical 7-foot post is 12 ft long find the height of t

he tree
Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0
Set up a proportion and get x=11.67 ft
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Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0
1 year ago
Find the general solution of the given differential equation. y'' + 2y' + 5y = 3 sin 2t
atroni [7]
Consider, pls, this option.
Please, change the design according to local requirements.

8 0
3 years ago
Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investm
Licemer1 [7]

Answer:

180

Step-by-step explanation:

add 1% to 31.50 to get 31.815

then take the total 5276.70 and divide by 31.815

5 0
3 years ago
Rescooperate Ice Cream Shop recently analyzed their books. They found that in the past year, they made $100,000 selling ice crea
RoseWind [281]

Answer:

I believe the correct answer would be A.) Profit.

Step-by-step explanation:

This is because <em>revenue</em> is the amount earned, which, in this case is $100,000. Loss is not a proper term. The proper term would be <em>expense. </em>This is the amount spent or lost. The correct answer would be <em>profit. </em>Profit just means the amount left after the expenses have been deducted from the revenue.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

7 0
3 years ago
Alfred made 20 goals in 3.5 minutes.what is alfreds unit rate per goal
Veseljchak [2.6K]
I belive the unit rate per goal is 5.7
5 0
3 years ago
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