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stiks02 [169]
2 years ago
12

Helppp plezzzzzzes will give braniniilist

Mathematics
2 answers:
BabaBlast [244]2 years ago
6 0

Answer:

1. Equivalent
2. Not equivalent

Step-by-step explanation:

1. Equivalent because there's 4 x's that you add all together and that makes 4x
2. Not equivalent because 5x means there's 5 x's or x + x + x + x + x not only 1 x plus a number 5

Leviafan [203]2 years ago
6 0

Answer:

1. is equivalent. if you add the variables X, it'll be equal to 4x

2. It is not equivalent . 5x means 5 multiplied by X. x+5 means the unknown number X is added to 5, not multiplied. So it is not equivalent

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astraxan [27]
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Allie deposited $80 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have
77julia77 [94]

Answer: $96.8

Step-by-step explanation:

Formular for Compounding annually :

A =P ( 1 + r/n) ^nt

Where p is the Principal given as $80

r is the rate given as 10% = 10/100 = 0.1

n is the number of times the principal was compounded, given as 1

t is the time, given as 2 years:

Slot the values into the formula:

A= $80 ( 1 + 0.1/1) ^ (1 × 2)

A= $80 ( 1 + 0.1) ^2

A= $80 ( 1.1) ^2

A= $80 (1.21)

A= $80 x 1.21

A= $96.8

96.8 is already rounded to the nearest cent.

5 0
3 years ago
What is the median of the ages shown in this stem-and-leaf plot? 59.5 58.5 59.0 58.0 Stem and leaf plot titled Ages of college p
AlexFokin [52]

Answer:

Median = 59.0

Step-by-step explanation:

According to the given data:

The data represents the signatures collected by different volunteers are as following in order from least to the greatest:

30, 32, 41, 44, 44, 45, 53, 55, 58, <u>59</u>, 62, 62, 62, 65, 66, 68, 75, 75, 76

And it is required to find the median:

The median of a data set is the middle data point.

The number of data set is 19

So, the median will be at the place number 10

<u>So, the median is 59</u>

8 0
3 years ago
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Shelly and Steve buy prepaid phone
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Step-by-step explanation:

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5 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
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