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Fofino [41]
3 years ago
6

Find the 5th term of the arithmetic sequence 10,5,0....

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0

Answer:

-10

Step-by-step explanation:

10, 5, 0, -5, -10

Subtracts 5 every step.

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1/3(x-6)=16<br> Please help me out
Alexeev081 [22]

Answer:

\frac{1}{3} (x - 6) = 16) \times 3 \\ x - 6 = 3 \times 16 \\ x = 48 + 6 \\ \color{yellow} \boxed{ x = 54}

6 0
2 years ago
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A box has a volume of 546cm3 and a surface area of 422cm2. What are the Length, Width and Height?
Klio2033 [76]
We know that the formula for the volume of a box is:

V =lwh

Where:
l = length
w = width
h = height

The formula of the surface area of a box is:
SA=2(lw+lh+wh)

Based on the given we know the following:
546cm^{3} =lwh

and

422cm^{2}=2(lw+lh+wh)

If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:

546=6*7*13

Let:
l = 6cm
w = 7cm
h = 13cm
     
Now let's try this on the surface area formula:
422cm^{2}=2(lw+lh+wh)
422cm^{2}=2((6cm*7cm)+(6cm*13cm)+(7cm*13cm))
422cm^{2}=2(42cm^{2}+79cm^{2}+91cm^{2})
422cm^{2}=2(211cm^{2})
422cm^{2}=422cm^{2}

The answer is then:
l = 6cm
w = 7cm
h = 13cm

Any order would be fine.
4 0
3 years ago
What is the expression that shown 18+(-13)-11
s2008m [1.1K]
The expression shown is an arithmetic expression. An arithmetic expression results in a numeric value.
The answer by the way is -6.
5 0
3 years ago
Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)
Svet_ta [14]
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

6 0
4 years ago
Read 2 more answers
Which three side lengths best describe the triangle in the diagram?
Gala2k [10]

Answer: D, hope that helps!

4 0
2 years ago
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