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3 years ago

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Estimate the quotient to the tenths place. Then find the quotient. Round to the nearest thousandth 3)1.066 The estimate is The q

uotient is

1 answer:

riadik2000 [5.3K]3 years ago

7 0

Answer:

Estimate = 0.4

Quotient = 0.355 ---> Approximated to nearest thousandth

Step-by-step explanation:

Question like this is better answered using attachment;

See Attachment

When 1.066 is divided by 3,

The quotient is 0.3553......

When estimating to tenths,

We stop the quotient at 0.35 then round it up.

This gives 0.4

When estimating to nearest thousandth,

We stop the quotient at 0.3553 then round it up;

This gives 0.355

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Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

<u>Given:</u>

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

<u>Solve for </u> $x$ <u> in the 1st equation:</u>

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

<u>Substitute the value of </u> $x$ <u> into the 2nd equation and solve for </u> $z$ <u>:</u>

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

<u>Substitute the value of </u> $z$ <u> into the 3rd equation and solve for </u> $y$ <u>:</u>

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

<u>Plug </u> $y=3$ <u> into the solved expression for </u> $z$ <u> and evaluate to solve for </u> $z$ <u>:</u>

$z=16-7(3)$

$z=16-21$

$z=-5$

<u>Plug </u> $z=-5$ <u> into the solved expression for </u> $x$ <u> and evaluate to solve for </u> $x$ <u>:</u>

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. What is the volume of the obl

trasher [3.6K]

Oblique Cone

The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

Step-by-step explanation:

An oblique cone has a radius of 4 units

A height of 8.5 units

A slant length of 11.7 inches

We have to use the slant height to calculate actual base

So in a right angle triangle when two sides are given the third side is calculated by

Root (sqr(11,7) - sqr(8.5)) = 8.03 units

$\sqrt{11.7^{2} - 8.5^{2} }$

⇒ 8.03 units

Formula to calculate the volume of oblique cone,......................(1)

V = $\frac{1}{3} bh$

If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

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

Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

Here r = 8.03 - 4 = 4.03 units

Volume = $\frac{1}{3}$ × 3.14 × 4.03 × 4.03 × 8.5

Volume = 144.49 cubic inches

Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

6 0

2 years ago

Read 2 more answers

Find the values for a and b that would make the equality true.

zepelin [54]

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side, then compare the coefficients of like terms.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b, compare to - 6x² + 12x - 15

Compare coefficients of x- terms

- 3a = 12 ( divide both sides by - 3 )

a = - 4

Compare constant terms

- 3b = - 15 ( divide both sides by - 3 )

b = 5

8 0

3 years ago

4^3 * 4^4 = <br> A) 4^-1<br> B) 4^1<br> C) 4^7<br> D) 4^12

lions [1.4K]

<h2>Hello!</h2>

The answer is:

The correct option is:

C) $4^{3}*4^{4}=4^{7}$

<h2>Why?</h2>

To solve the problem, we need to remember the product of powers with the same base property, the property is defined by the following relation:

$a^{m}*a^{n}=a^{m+n}$

If we are multiplying two or more powers with the same base, we must keep the base and add/subtract the exponents.

So, we are given the expression:

$4^{3}*4^{4}$

We can see that both powers have the same base (4), so solving we have:

$4^{3}*4^{4}=4^{4+3}=4^{7}$

Hence, we have that the correct option is:

C) $4^{3}*4^{4}=4^{7}$

Have a nice day!

7 0

3 years ago

Read 2 more answers

6y(-5-y+4y^2) <br> Simplify the expression^^

Nina [5.8K]

Answer:

24y^3-6y^2-30

Step-by-step explanation:

6y(-5-y+4y^2)

-30y-6y^2+24y^3

Put in the correct order

24y^3-6y^2-30

3 0

3 years ago