Add. Write your answer in simplest form.

2 2/9+ 1 4/9=_____

Answers

Answer 1
Answer: 2 2/9 + 1 4/9 = 33/9 = 3 6/9
Answer 2
Answer:

Answer:

3 2/3

Step-by-step explanation:


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Suppose a varies directly as b, and a=7 when b=2 find b when a =21
Do you know the awnser to 4(-8x+5)-(-33x-26)=

Please help, I don’t get it

Answers

Answer:

28°

Step-by-step explanation:

The angles in a triangle add up to 180°.

180 - 118 - 34 = 28

A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the startdashfinish line is d feet. Express the horizontal distance h as a function of d.

Answers

Answer:

The expression of h as function of x is   h = √((d + 5500) (d - 5500))

Step-by-step explanation:

Given as :

The distance of blimp  (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = (AC)/(BC) = (h)/(d)

And sin Ф =  (AB)/(BC) = (5500)/(d)

∵, cos²Ф = 1 - sin²Ф

So, ((h)/(d))^(2) = 1 - ((5500)/(d))^(2)

Or, ((h)/(d))^(2) = ((d^(2)- 5500^(2))/(d^(2)))

Or,                                     h² = d² - 5500²

∴                                        h = \sqrt{d^(2)- 5500^(2)}

Or,                                     h = √((d + 5500) (d - 5500))

Hence The expression of h as function of x is   h = √((d + 5500) (d - 5500))     Answer

I need help with that​

Answers

Answer:

x intercept = (3,0)

y intercept = (0, -2)

Step-by-step explanation:

x-intercept:

2x = 3y +6

x intercept = 6/2 = 3

y-intercept

-3y = -2x + 6

y = 2/3x - 6/3

y = 2/3 - 2

Explain one thing you need to be careful with when writing a proportion.

Answers

For this case, we have that by definition, the proportions can be expressed in different ways. Example, if we have a dog and three cats:

75%: It's percentage

0.75: In decimal (75% are cats)

\frac {3} {4}: In fraction. (There are \frac {3} {4} of cats)

3: 1: Using ":" to separate sample values. (For every three cats there is a dog)

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

Example:3: 1 = 3 * 2: 1 * 2 = 6: 2

Answer:

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

a sailfish can swim up to 1 mile per hour less than one fifth the top speed of a peregrine falcon. Find the top speed that a sailfish can swim?

Answers

top speed of a peregrine falcon is 240 miles per hour

 240 x 1/5 = 48

48-1 = 47

 sailfish can swim 47 miles per hour

Answer: The top speed that a sailfish can swim at ((x)/(5)-1)\ mph

Step-by-step explanation:

Since we have given that

Top speed of a peregrine falcon be 'x'.

One fifth the top speed of a peregrine falcon would be

(1)/(5)x

1 mile per hour less than the above is expressed as

(1)/(5)x-1

According to question, the top speed that a sailfish can swim would be

(1)/(5)x-1

Hence, the top speed that a sailfish can swim at ((x)/(5)-1)\ mph

In Las Vegas, Nevada, stores charge a 4.6\%4.6%4, point, 6, percent state sales tax and a 3.65\%3.65%3, point, 65, percent county sales tax. Yuki is purchasing a handbag priced at \$220$220dollar sign, 220 before tax. How much sales tax does Yuki pay for her handbag purchase?

Answers

Answer:

$18.15

Explanation:

In this case, we can add the percentages because they are taken of the same number.

The state sales tax, 4.6%, will be taken of $220, the purchase price.  The county sales tax, 3.65%, will also be taken of $220, the purchase price.  Since they are being taken of the same number, we can add the percentages:

4.6+3.65 = 8.25%

Now we can take 8.25% of 220:

8.25% = 8.25/100 = 0.0825

0.0825(220) = $18.15

For this case, the total percentage of taxes is given by:

4.6 + 3.65 = 8.25

Then, to find the total percentage of taxes, we can make the following rule of three:

220 $ ---------------> 100%

x --------------------> 8.25%

From here, we clear the value of x.

We have then:

x = ((8.25)/(100)) (220)

x = 18.15

Answer:

The amount of taxes that Yuki pays is $ 18.15.