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dimulka [17.4K]
3 years ago
5

The sum of seven times a number— PLEASE HELP!

Mathematics
2 answers:
Ratling [72]3 years ago
7 0

Answer:

4\\6

Step-by-step explanation:

7x+3y=54\\x=y+2

7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4

x=y+2\\x=4+2\\x=6

castortr0y [4]3 years ago
6 0

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

<u><em>Condition 1:</em></u>

7x+3y = 54 -----------(1)

<u><em>Condition 2:</em></u>

x = 2+y -----------------(2)

<em>Putting (2) in (1)</em>

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

<em>Dividing both sides by 10</em>

=> y = 4

<em>Now putting y = 4 in eq(2)</em>

=> x = 2+4

=> x = 6

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Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of t
kati45 [8]

Question:

Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of the numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?

Answer:

1/72

Step-by-step explanation:

<em>Morgan can roll a 17 in 3 different ways. The first way is if the first die comes up 5, the second die comes up 6, and the third die comes up 6. The second way is if the first die comes up 6, the second die comes up 5, and the third die comes up 6. The third way is if the first die comes up 6, the second die comes up 6, and the third die comes up 5. For each way, the probability of it occurring is  1/6 x 1/6 x 1/6 = 1/216. Therefore, since there are 3 different ways to roll a 17, the probability that Morgan rolls a 17 and wins the game is  1/216 + 1/216 + 1/216 = 3/216 = 1/72</em>


<em>I had this same question on my test!</em>


<em>Hope this helped! Good Luck! ~LILZ</em>


3 0
3 years ago
Can someone help me with this? I need it before Monday. I will give brainlist!! If the picture is too blurry here is the problem
tigry1 [53]

Answer:

1.  total volume of box=2.5(V)D

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Step-by-step explanation:

2.5 = V

so 1 draw = 2.5 cubic inches of volume

so V(2.5) × D(number of drawers) = total volume of drawers in the box

6 0
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Answer:

Triangular Prism Calculator

Step-by-step explanation:

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Describe a pattern in each sequence. what are the next two terms of each sequence ? 2,4,8,16​
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Answer:

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Step-by-step explanation:

8 0
3 years ago
plain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x2 − 2x x2 − 4 if x ≠ 2 1 if x =
ElenaW [278]

Answer with Step-by-step explanation:

We are given that

f(x)=\left\{\begin{matrix}\dfrac{x^2-2x}{x^2-4}&,if\ \ x\neq 2 \\ 1&,if\ \ x=2\end{matrix}\right.

We have to explain that why the function is discontinuous at x=2

We know that if function is continuous at x=a then LHL=RHL=f(a).

f(x)=\frac{x(x-2)}{(x+2)(x-2)}=\frac{x}{x+2}

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2-h}{2-h+2}

\lim_{h\rightarrow 0}\frac{2-h}{4-h}=\frac{2}{4}=\frac{1}{2}

Right hand limit =RHL when x> 2

Substitute

x=2+h

\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2+h}{2+h+2}=\lim_{h\rightarrow 0}\frac{2+h}{4+h}

=\frac{2}{4}=\frac{1}{2}

LHL=RHL=\frac{1}{2}

f(2)=1

LHL=RHL\neq f(2)

Hence, function is discontinuous at x=2

4 0
4 years ago
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