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2 years ago

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Timothy and his brothers are selling lemonade and cookies to raise funds for a camping trip. Paul bought two cups of lemonade an

d two cookies for 3$ and Nancy bought three cookies and two cups of lemonade for $4.00. What is the cost of a cup of lemonade?

1 answer:

sasho [114]2 years ago

3 0

Answer:

im try ing to think

Step-by-step explanation:

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you just received an increase of 8% in pay. you normally get paid a salary check of $4000. how much will your next check be?

gayaneshka [121]

4000*.08=320

4000+320=4320

8 0

3 years ago

Find the area of the figure.<br> area<br> units2

Verdich [7]

Answer:

<u><em></em></u> $33 units^{2}$

I counted the squares.

8 0

2 years ago

1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

$m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}$

7 0

3 years ago

Find 4 geometric means between -5 and -125.

balandron [24]

The geometric means between -5 and -125 is; 25

<h3>How to find the geometric mean?</h3>

To find the geometric mean between two numbers, we simply find the square root of the product of the two numbers.

For example, geometric mean between A and B is;

G.M = √(A * B)

Thus, geometric mean between -5 and -125 is;

G.M = √(-5 * -125)

G.M = √625

G.M = 25

There could be other geometric means between this like;

G.M = √(-5 * -45) = 15

Or GM = √(-10 * -40) = 20

Read more about geometric mean at; brainly.com/question/17266157

#SPJ1

8 0

2 years ago

What equation is graphed in this figure?

topjm [15]

Answer:

The third equation: $y+2=-3(x-1)$

Step-by-step explanation:

The two points on the line are $(-1,4)$ and $(1,-2)$ .

Slope of the line passing through two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

$m=(y_{2} -y_{1})/ (x_{2} -x_{1})$

Here, $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are $(-1,4)$ and $(1,-2)$ .

Therefore, slope is equal to, $m=(-2-4 )/ (1-(-1)$

$m=-6/2$

$m=-3$

Now, equation of a straight line with slope m and points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

$y-y_{1}=m(x-x_{1})\\y-y_{2}=m(x-x_{2})$

Now, if we use the 2nd form, then $x_{2}=1,y_{2}=-2$ .

So, the equation is given as :

$y-(-2)=-3(x-1)\\y+2=-3(x-1)$

8 0

3 years ago