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3 years ago

Work out the following without a calculator (show working out) please help 144x6^-2

Mathematics

1 answer:

Mashutka [201]3 years ago

5 0

Answer:

$144 \times 6^{-2}\\\\= 144 \times \frac{1}{36}\\\\= \frac{144}{36}\\\\= \frac{12}{3}\\\\= 4$

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Given the system of equations 2 x − 3 y − 9 z = 9 x + 3 z = 3 − 3 x + y − 4 z = − 10 (a) determine whether the system is inconsi

Wewaii [24]

Answer:

Dependent

$x=3-3z$

$y=-5z-1$

Step-by-step explanation:

We are given that system of equations

$2x-3y-9z=9$ (Equation I)

$x+3z=3$ ( Equation II)

$-3x+y-4z=-10$ (Equation III)

Equation III multiply by 3 and then add to equation I then we get

$-7x-21z=-21$

Divided by -7 then we get

$x+3z=3$

Now , obtained equation subtract from equation II then we get

0=0

Hence, equation II is a linear combination of equation I and equation III.

Therefore, system is dependent because system has infinite solutions.

$x=3-3z$

Substitute the value of x in equation I then we get

$2(3-3z)-3y-9z=9$

$6-6z-3y-9z=9$

$3y=-15z+6-9=-15z-3$

$y=-5z-1$

3 0

3 years ago

What is the product of (6.2*10^4) * (3.4*10^-2)? I got 2,108. am I right?

yaroslaw [1]

Answer:

yes you are right

Step-by-step explanation:

6 0

3 years ago

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Work out the value of 4bc-b when b=-3 and c=2

Pavel [41]

Answer:

-18

Step-by-step explanation:

4bc-b

Let b = -3 and c=2

4 * (-3)* 2 - (-3)

-24 +6

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4 years ago

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Roof trusses often use right triangles to make a flimsy 2 × 4 more rigid to hold up the weight of the roof. If a house is 40 fee

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The side length would be 23.094010767585

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3 years ago

The price of a pair of headphones is $49.99 before tax. Ron bought the headphones for a 50% discount. He then paid sales tax of

Grace [21]

Both Parts
First, we need to know what the price is 50% off. To find this, we just need to multiply 49.99 by 50%'s decimal value (0.5).

49.99
x .5
≈25.00

Part A
To find sales tax, we should multiply the number by the percent's decimal value. In this case, it is an 8% sales tax, which has a decimal value of 0.08.

25.00
x0.08
 0002

Using the math above, we can see that the sales tax was $2.00.

Part B
To solve for this, we need to add the sales tax back to the original price.

25.00
+2.00
27.00

Using the math above, we can see that the total price for the headphones is $27.00.

7 0

3 years ago