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Tom [10]
3 years ago
10

The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a ki

wi?
Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0
Let the height of the kiwi be x, then the height of the ostrich is 20 + 4x.
20 + 4x = 108
4x = 108 - 20 = 88
x = 88/4 = 22
The height of the kiwi is 22 inches.
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What is the value of x in the equation 3x-5=1/2x+2x
Drupady [299]

Answer:

exact form: x= 11/2

Decimal Form

X= 5.5

Mixed form

X= 5 1/2

Step-by-step explanation:

8 0
3 years ago
Find one value of x that is a solution to the equation:<br>(x^2– 8)^2 + x^2 – 8 = 20<br>x=​
Kipish [7]

Answer:

x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

Step-by-step explanation:

Solve for x:

-8 + x^2 + (x^2 - 8)^2 = 20

Expand out terms of the left hand side:

x^4 - 15 x^2 + 56 = 20

Subtract 20 from both sides:

x^4 - 15 x^2 + 36 = 0

Substitute y = x^2:

y^2 - 15 y + 36 = 0

The left hand side factors into a product with two terms:

(y - 12) (y - 3) = 0

Split into two equations:

y - 12 = 0 or y - 3 = 0

Add 12 to both sides:

y = 12 or y - 3 = 0

Substitute back for y = x^2:

x^2 = 12 or y - 3 = 0

Take the square root of both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0

Add 3 to both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3

Substitute back for y = x^2:

x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3

Take the square root of both sides:

Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

8 0
3 years ago
The circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for Media and Sales
Tcecarenko [31]

Answer:

125,000,000

Step-by-step explanation:

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Let total budget be "t", so we can say:

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"of" means "multiplication" and "is" means "equal to", so we can convert word equation to algebraic equation. Shown below:

20% * t = 25,000,000

20% = 20/100 = 0.2

Thus, the final equation is:

0.2t = 25,000,000

Solving for t, we get:

0.2t = 25,000,000\\t=\frac{25,000,000}{0.2}\\t=125,000,000

The total budget is (125 million) = 125,000,000

7 0
3 years ago
During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were record
SpyIntel [72]

Part 1: Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

Part 2:

H0:  

Ha:  

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Step-by-step explanation:

As per the data

Part 2

H0:  

Ha:  

Part 3

As per the sample is of 300 homes, the expected values are given as

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Now the values actually are given as

ABC=94

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So the test static is given as

So the test statistic is given as 3.0081.

Part 4

Now the degree of freedoms are given as 4-1=3

and chi square  is given as 3.0081 so for α = 0.05 , the p-value is given as  0.39037

Part 1.

As the value of p in part 4 is greater than the value of α = 0.05, thus Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

4 0
3 years ago
Find f(-5) if f(x)=lx+1l<br>A.6<br>b.5<br>c.4​
3241004551 [841]

Answer:

its C

Step-by-step explanation:

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4 0
3 years ago
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