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uysha [10]
3 years ago
5

There were 32 butterflies in the butterfly exhibit at the zoo. After some new butterflies hatched from their cocoons, there were

55 butterflies in the exhibit. The letter h stands for the number of butterflies that hatched.
Which equations can be used to find the number of butterflies that hatched?


Choose exactly two answers that are correct.



A.


32 + h = 55


B.


55 – 32 = h


C.


h – 55 = 32


D.


32 + 55 = h
Mathematics
2 answers:
Neko [114]3 years ago
8 0
It would be B. 55 - 32 = h and h would be 23.
because there were a total of 32 butterflies to begin with and then after they hatched the total butterflies were 55.
BigorU [14]3 years ago
3 0
B and a

hope this helps!
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Which equations can be used to find the lengths of the
Murrr4er [49]

Answer:

0.5(x)(x + 2) = 24 (A)

x² + 2x – 48 = 0 (D)

x² + (x + 2)² = 100 (E)

Question:

A question related to this found at brainly (ID:4482275) is stated below.

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Check all that apply.

0.5(x)(x + 2) = 24

x(x + 2) = 24

x2 + 2x – 24 = 0

x2 + 2x – 48 = 0

x2 + (x + 2)2 = 24

Step-by-step explanation:

Find attached the diagram.

Area of triangle = ½ × base × height

= 0.5×b×h

base= x ft

Height = (x+2) ft

Area = 24ft²

24 = 0.5(x)(x+2)

0.5(x)(x + 2) = 24 (A)

The equations that can be used to find the lengths of the legs of the triangle must be equivalent to 0.5(x)(x + 2) = 24

On expanding this: 0.5(x)(x + 2) = 24

0.5(x²+2x) = 24

b) x(x + 2) = 24

x(x + 2) is not equal to 0.5(x²+2x)

c) x² + 2x – 24 = 0

0.5(x²+2x) = 24

0.5x²+x - 24 = 0 is not equal to x²+2x- 24 = 0

d) x² + 2x – 48 = 0

0.5(x)(x + 2) = 24

½(x)(x + 2) = 24

x² + 2x = 2(24)

x² + 2x – 48 = 0

Correct option (D)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x = 96

2(x² + 2x +48)= 0

x² + 2x +48 = 0 is equal to 0.5(x²+2x) = 24

Correct (E)

4 0
2 years ago
If in quadrilateral ABCD, AB = DC and BC = DA, then diagonals AC and BD Select one:
Varvara68 [4.7K]

Answer:

<em>It's </em><em>B</em><em>, the diagonals bisect each other</em>

Step-by-step explanation:

If they were equal, it would have to be a rectangle. If they were perpendicular, it would have to be a sqaure.

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3 years ago
In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. c
goldenfox [79]

The standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

<h3>What is the standard deviation?</h3>

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have a data set:

8, 16, 14, 8, 16

As we know the formula for standard deviation is:

\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}

Here σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observation in data set.

X = (8+16+14+8+16)/5 = 12.4

n = 5

After calculating the standard deviation will be:

σ = 3.67

Add 8 to each data value to get the new data set 16, 24, 22, 16, 24.

New standard deviation:

σ(new) = 3.67

The standard deviation of both the data are same we can say the standard deviation does not change when we add a constant to each data value.

Adding the same constant c to each data value results in the standard deviation remaining the same.

Thus, the standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ1

6 0
2 years ago
Pls help...............
Alex Ar [27]

Answer:

You chose the right one

Step-by-step explanation:

i hope this helps :)

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