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3 years ago

I need help plz help me

Mathematics

1 answer:

castortr0y [4]3 years ago

6 0

The answer is 130,950 since you had to round each number

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4/7 divide by 6 =<br> Please show work!

oee [108]

Answer:

2/21

Step-by-step explanation:

Simplify the following:

4/7×1/6

4/7×1/6 = 4/(7×6):

4/(7×6)

The gcd of 4 and 6 is 2, so 4/(7×6) = (2×2)/(7 (2×3)) = 2/2×2/(7×3) = 2/(7×3):

2/(7×3)

7×3 = 21:

Answer: 2/21

5 0

3 years ago

A cylinder has a base diameter of 12m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?

Dafna11 [192]

Volume is equal to the area of the base times the height in regular 3D shapes.

volume = πr²h = π(6²)10 = 360π = 1131.0 m³ approx.

3 0

4 years ago

Write the equation of a line that is perpendicular to y= -x - 6 and that passes through the point (-9, -4).

djverab [1.8K]

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular slope is opposite inverse so the perpendicular slope to -1x would be 1x

Then find b in y=mx+b

Plug in all the number

y=-9

x=-4

m=1

So, -4=1(-9)+b

1×-9=-9

+9 to both sides

5=b

Therefore,

y=x+5

6 0

4 years ago

Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equ

djverab [1.8K]

Answer:

y=15-3z

x=-5.25-0.25z

Step-by-step explanation:

You are given the system of two equations with three variables:

$\left\{\begin{array}{l}4x-2y-5z=-51\\ \\4x-y-2z=-36\end{array}\right.$

Write the augmented matrix for this system of equations

$\left(\begin{array}{ccccc}4&-2&-5&|&-51\\4&-1&-2&|&-36\end{array}\right)$

Now, find the reduced row-echelon form of the augmented matrix for this system of equations. Subtract the second row from the first row:

$\left(\begin{array}{ccccc}4&-2&-5&|&-51\\0&-1&-3&|&-15\end{array}\right)$

You get the system of two equations:

$\left\{\begin{array}{r}4x-2y-5z=-51\\ \\-y-3z=-15\end{array}\right.$

From the second equation

$y=15-3z$

Substitute it into the first one:

$4x-2(15-3z)-5z=-51\\ \\4x-30+6z-5z=-51\\ \\4x=-21-z\\ \\x=-\dfrac{21}{4}-\dfrac{1}{4}z\\ \\x=-5.25-0.25z$

8 0

3 years ago

Total no of whole number of that have less than 1000 and divisble by 7

lbvjy [14]

Answer:

<em>There are 142 whole numbers less than 1000 and divisible by 7.</em>

Step-by-step explanation:

The multiples of 7 form an arithmetic sequence like shown:

7, 14, 21, ...

The last term of this sequence can be found by dividing 1000/7=142.9 and rounding down to the previous integer: 142*7= 994.

Thus, the sequence has:

a1=7, r=7, an=994. We need to find n and we'll do that by using the general term formula:

$a_n=a_1+(n-1).r$

And solving for n:

$\displaystyle n= \frac{a_n-a_1}{r}+1$

$\displaystyle n= \frac{994-7}{7}+1$

n = 142

There are 142 whole numbers less than 1000 and divisible by 7.

6 0

3 years ago