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3 years ago

6

carter needs to wrap 7 presents. he lays the ribbon out flat and says ,if i nake 6 equally spaced cuts i'll have just enough pie

ces i can use 1 piece for each packages and i won't have any pieces left over .does he have enough pieces to wrap all the presents

1 answer:

Andrej [43]3 years ago

8 0

Yes he does. If you cut something 6 times you make 7 pieces

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Geometry :))), please help me

amm1812

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

$\frac{x+23}{x+41} = 0.5$

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

$x+23=0.5(x+41)$

Now we multiply out the brackets and move the terms to different sides:

$x+23=0.5x+20.5$

$0.5x = -2.5$

$x = -5$

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

4 0

3 years ago

At a little-known vacation spot, taxi fares are a bargain. A 24-mile taxi ride takes 36 minutes and costs $.14.40. You want

dolphi86 [110]

Answer:

I need how much is it per one mile <em>or</em> how much does is cost every 5 mins at least

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2 years ago

While testing a new pesticide, an agricultural scientist uses two functions to predict the yields of two same-sized potato farms

Pepsi [2]

Answer:

A. h(x)= -5.86x^2 + 23.37x + 34

Step-by-step explanation:

If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.

Then, the combined yield $h(x)$ of the two farms is just the yield of the first farm plus the yield of the second farm:

$h(x)=f(x)+g(x)$ .

Now, since

$f(x)= -2.43x^2+10.37x+9$

and

$g(x)= -3.43x^2+13x+25$ ,

then

$h(x)= (-2.43x^2+10.37x+9)+(-3.43x^2+13x+25)$

we add the coefficients of the corresponding terms to get:

$h(x)= (-2.43x^2-3.43x^2)+(10.37x+13x)+(9+25)$

$\boxed {h(x)=-5.86 x^2 + 23.37 x + 34.}$

Which is choice A.

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3 years ago

Mariana signed up for a streaming music service that costs $7 per month. The service allows Mariana to listen to unlimited music

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Answer:

50$

Step-by-step explanation:

$1.25x40= 50 so she would have to pay 50$

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2 years ago

Susanna uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this amount is white paint, and the rest

pochemuha

Answer:

It is 6.8

Step-by-step explanation:

3/5 in decimal form is 0.6, so 7.4 - 0.6 is 6.8.

*Hope this helps*

7 0

2 years ago

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