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egoroff_w [7]
3 years ago
12

Carpeting costs $9.99 a yard. If Jam buys 17.4 yards, how much will it cost her ?

Mathematics
1 answer:
guapka [62]3 years ago
4 0
For this question you would have to multiply the cost ( $9.99 ) by how many yards are being bought (17.4) this is fairly simple , whip out your calculator . The answer is $173.83
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If you want to put a 4x8 piece of plywood through a 3 foot square opening in your ceiling by turning it diagonally is the openin
Zigmanuir [339]
Here we apply the Pythagorean theorem:
c^2=a^2+b^2
The diagonal of the opening will be:
c^2=3^2+3^2
c^2=9+9
c^2=18
c=3√2 ft

The diagonal of the wood will be:
c^2=4^2+8^2
c^2=16+64
c^2=80
c=4√5 ft

The space will not be enough for the plywood to pass
8 0
3 years ago
Could someone help me rnnn?
GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola:  y=3x^2-4

Step-by-step explanation:

Given:

  • y-intercept of parabola: -4
  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

5 0
2 years ago
Read 2 more answers
30 POINTS!!!!!!!! JoeNah, DeKobian and Evan wrote equations to calculate the amount of money in a savings account after one year
castortr0y [4]

Answer:

See the explanation for the answer to this question

Step-by-step explanation:

Let

B ---> the balance of money saved.

M ---> the amount invested in dollars

JoeNah's Equation

M=$100

B=1.5(100)=\$150

Dekobian's Equation

M=$100

B=100+0.05(100)=\$105

Evan's Equation

M=$100

B=M(1+0.05)

Substitute

B=100(1+0.05)=\$105

Dekobian's equation and Evan's equation are correct! :)

JoeNah's equation is wrong. :(

Hope this helps you!

Have a good evening!

4 0
3 years ago
The sum of 3 consecutive even numbers of 78
Jet001 [13]
26, 24, 28 could be the answer
3 0
3 years ago
Read 2 more answers
The mass of the sun is 21.3525×102921.3525×1029 kg. the mass of mercy is 328.5×1021328.5×1021 kg.how many times larger is the ma
Liono4ka [1.6K]
This is basically a simple problem to understand. The only thing that needs to be done is to divide the mass of the sun by the mass of mercury. It will give the required result.

Number of times the mass of sun is greater than
the mass of mercury =  21.3525×102921.3525×1029/<span>328.5×1021328.5×1021
                                  = </span><span>7.1783629e+15
I hope that this is the answer that you were looking for and it has come to your great help.</span>
8 0
3 years ago
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