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dlinn [17]
3 years ago
9

A fruit basket contains the same number of apples and pears. If Eric eats 5 apples and 1 pear, there will be twice as many pears

as apples. How many pears remain in remain in the basket?
Mathematics
1 answer:
galina1969 [7]3 years ago
3 0
8 Pears will remain in the basket
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Pls Helps LOTS OF POINTS!
Stells [14]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

To find the scale factor, all you have to do is <em>divide a side value of one figure by its congruent side value on another figure. </em>

Step-by-step explanation:

To start:

  • The values 15 and 10 are both for the same congreunt side --> EF and E'F'
  • The values 4 and 6 are both for the same congreunt side --> DE and D'E'
  • The values 4 and 6 are both for the same congreunt side --> DG and D'G'
  • The values 8 and 12 are both for the same congreunt side --> FG and F'G'

So, to find the scale factor, all you have to do is divide the smaller congruent value from the larger congruent value.

Larger congruent value ÷ smaller congruent value = scale factor

              15                      ÷                10                        = scale factor

              \____________________/

                                    1.5

<h3>So, the scale factor is 1.5</h3>

To double check, we will use another congruent side to find the scale factor:

12 ÷ 8 = scale factor

1.5      = scale factor

<h3>So, the scale factor is most definitely 1.5</h3>

I hope this helps!

- sincerelynini

7 0
3 years ago
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HURRY ASAP NO JOKE 2 MINUTES PLZ HURRY ASAP PLZZZZZ HELP
loris [4]
2 \frac{3}{4} * \frac{4}{5} is the same as \frac{11}{4} * \frac{4}{5}. The 4s will cancel leaving you with \frac{11}{5} or 2 \frac{1}{5}, your 3rd option. 
5 0
3 years ago
Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° &lt; theta &lt; 90°?
fenix001 [56]

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

<h3>What is trigonometry?</h3>

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

More about the trigonometry link is given below.

brainly.com/question/22698523

#SPJ1

7 0
2 years ago
A. 20<br> b. 5<br> c. 40<br> d. 45
Rina8888 [55]

Answer:

C, 40

Step-by-step explanation:

You can set up the equation as 20+4x=180

180 is the total angle of the line

4x=160 and divide each side by 4

x=40

6 0
3 years ago
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Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
2 years ago
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