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bagirrra123 [75]
3 years ago
14

Which is the best first step in solving the following system of equations y=7x+3 y=9x

Mathematics
2 answers:
Vanyuwa [196]3 years ago
8 0

Answer:

13.5 and 1.5

Step-by-step explanation:

y=7x+3

y=9x

9x=7x+3

2x=3

x=3/2

y=9(3/2)

y=13.5

Fed [463]3 years ago
3 0

Answer:

Replace the y value in y=7x+3 with 9x

Answer: x=3/2

Step-by-step explanation:

y=7x+3; y=9x

9x=7x+3

Subtract 7x from both sides

2x=3

Divide by 2 on both sides

x=3/2

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Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
german

Answer:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

V=\frac{1}{3}\pi r^2 h

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

8 0
3 years ago
3^-4 as a fraction, i need the exact value of this number as a fraction please and thank you :)
Musya8 [376]

Answer:

\frac{1}{81}

Step-by-step explanation:

Using the rule of exponents

a^{-m} = \frac{1}{a^{m} } , then

3^{-4} = \frac{1}{3^{4} } = \frac{1}{81}

8 0
2 years ago
Lena is 10 years old. She asks her dad how old he is. He tells her that the lowest common multiple of their ages is 14 times the
Ksju [112]

Answer:

  35

Step-by-step explanation:

We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.

Apparently, the dad's age is 5·7 = 35.

___

The GCF is 5; the LCM is 70 = 5×14.

_____

Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...

  (2 [5) 7]

where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.

Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.

7 0
3 years ago
Solve the inequalities by graphing. Select the correct graph. y> X y<-X​
Greeley [361]

Answer:

i think is y>X

Step-by-step explanation:

6 0
3 years ago
Find B:<br><br> 9.38<br><br> 88<br><br> 15.83<br><br> 4
mario62 [17]

Answer:

by using Pythagoras law

h²=p²+b²

13²=9²+b²

169-81=b²

b=√88=2√22m is your answer

4 0
3 years ago
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