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ch4aika [34]
3 years ago
7

2 1/4 - 2/3. A. 1 3/7. B. 1 7/12. C 2 3/7. D 2 11/12

Mathematics
1 answer:
DedPeter [7]3 years ago
3 0

Answer:

B.) 1\frac{7}{12}

Step-by-step explanation:

2\frac{1}{4} -\frac{2}{3} Then multiply 4 by 2, then add 1.frac{9}{4} - \frac{2}{3} \\

Then find the Least Common Denominator(LCD); simply just multiply 4 by 3 to get 12; then multiply using the opposite number.

\frac{3}{3} *\frac{9}{4} - \frac{4}{4} * \frac{2}{3}

to get: \frac{27}{12} - \frac{8}{12}.

now the denominators is the same on both sides, just subtract the numerator.

27 - 8 = 19

Now simply: \frac{19}{12} = 1\frac{7}{12}.

Your final answer is 1\frac{7}{12}[/tex].

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Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
AlekseyPX

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface  =  surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square =  s^2

where s= side length

s=3 in

The surface area of the base  =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles  =  4 x 9  

= 36 square inches

Therefore,

Total surface  =  surface area of the base square + area of 4 triangles

=  9 + 36

= 45 square inches

6 0
3 years ago
Which of the following are solutions to the equation below 3x^2+27x+54=0
VikaD [51]

Answer:x=6

Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .

-18 + -1 = -19

-9 + -2 = -11

-6 + -3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3

x2 - 6x - 3x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-6)

Add up the last 2 terms, pulling out common factors :

3 • (x-6)

Step-5 : Add up the four terms of step 4 :

(x-3) • (x-6)

Which is the desired factorization

7 0
3 years ago
Read 2 more answers
What is -0.18 as a fraction in simplest form.
Radda [10]
The answer is, 9/50
0.18 = 0.18/1
0.18/1 x 100/100 = 18/100
18/100 divided by 2/2 = 9/50
In conclusion the answer is 9/50.
Hopefully that helped! :)
3 0
3 years ago
Mona stopped at a gas station where the price per gallon was $2.80. She spent $14 to fill up her car. What equation would repres
Illusion [34]

Answer:

14/2.8

Step-by-step explanation:

6 0
2 years ago
17. You roll a number cube. How likely is it that you will roll a number less than 7? <br> Explain
Lyrx [107]

Answer:

1 or 100%.

Step-by-step explanation:

The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6. So any number from the dice can come up when you roll it because a perfect dice has 6 sides.

6 0
2 years ago
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