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goblinko [34]
3 years ago
7

For the following triangle, find the value of x. Please upload a picture of your

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0

Answer:

x = 19

Step-by-step explanation:

All triangle angles equal 180

3x + 9 + 2x + 4x = 180

9x + 9 = 180

9x = 171

x = 19

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A farmer was counting his chickens and pigs. He had 16 animals in all and counted 54 legs. How many chickens does he have
Vikentia [17]

Answer:

5 chickens

Step-by-step explanation:

Let's set chickens and pigs with variables "c" and "p" respectively.

We know there a 16 animals in all, so there are:

c+p=16

We know there are 54 legs and chickens have 2 legs and pigs have 4 legs each:

2c+4p=54

Now we have our system of equations:

c+p=16

2c+4p=54

We are trying to find the number of chickens, so we write the first equation in respect to c.

p=16-c

Substituting the first derived equation to equation two:

2c+64-4c=54

Simplifying:

64-2c=54

2c=10

c=5

So there are 5 chickens.

8 0
3 years ago
On the 1st of January 2014, Carol invested some money in a bank account. The account pays 2.5% compound interest per year. On th
cluponka [151]
She started with x.
After 1 year, she had 1.025x.
She withdrew <span>£1000, so now she has 1.025x - 1000.
Then it earned interest for 1 year and ended up as </span>1.025(1.025x - 1000).
The actual amount of money was £23 517.60.
Therefore,

<span>1.025(1.025x - 1000) = 23517.60

1.025x - 1000 = 22 944

1.025x = 23 944

x = 23 360

Her original deposit was </span><span>£23 360</span>
5 0
3 years ago
In the expression 3(2^0), what is the order of operations? Explain how would you evaluated the expression.
Over [174]

We'll use PEMDAS which stands for

P = parenthesis

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

It tells us the order in how to evaluate math expressions. We start with parenthesis, then move to exponents, etc until we get to subtraction as the last step.

We have parenthesis so we focus on whats inside it. We evaluate 2^0 to get 1. Any nonzero number to the exponent 0 is always 1. In other words, x^0 = 1 where x is nonzero.

So 3(2^0) turns into 3(1) or 3*1

Then we multiply that to get 3*1 = 3

So overall, 3(2^0) = 3

4 0
3 years ago
Compare the decimals &lt;, &gt;, or = 0.73 ___ 0.7300
GalinKa [24]
The decimals are equal.
8 0
3 years ago
Read 2 more answers
Given that the area of rectangle IJKL 500 what are it’s length and width
Art [367]

Answer:

Length=5

Width=100

Step-by-step explanation:

area of a rectangle=length x width

500= 5 x 100

500=500

5 0
3 years ago
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