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4 years ago

Rearrange this to make a the subject

Mathematics

1 answer:

stellarik [79]4 years ago

5 0

Answer:

$a = \frac{w + 4 - 3b}{6}$

Step-by-step explanation:

$w = 3(2a + b) - 4 \\ w + 4 = 6a + 3b \\ w + 4 - 3b = 6a \\ \frac{w + 4 - 3b}{6} = \frac{6a}{6} \\ a = \frac{w + 4 - 3b}{6}$

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Help me with number 7 pleaseeeeee ill give 30 points:))

EastWind [94]

Answer:

13 coffee mugs

Step-by-step explanation:

8.50(13)+2.75(8)

=110.50+2.75(8)

=110.50+22

=132.50

6 0

3 years ago

Find the work done by the force field F(x,y,z)=6xi+6yj+6k on a particle that moves along the helix r(t)=3 cos(t)i+3sin(t)j+2 tk,

kramer

Answer:

the work done by the force field = 24 π

Step-by-step explanation:

From the information given:

r(t) = 3 cos (t)i + 3 sin (t) j + 2 tk

= xi + yj + zk

∴

x = 3 cos (t)

y = 3 sin (t)

z = 2t

dr = (-3 sin (t)i + 3 cos (t) j + 2 k ) dt

Also F(x,y,z) = 6xi + 6yj + 6k

∴ F(t) = 18 cos (t) i + 18 sin (t) j +6 k

Workdone = 0 to 2π ∫ F(t) dr

$\mathbf{= \int \limits ^{2 \pi} _{0} (18 cos (t) i + 18 sin (t) j +6k)(-3 sin (t)i+3cos (t) j +2k)\ dt}$

$\mathbf{= \int \limits ^{2 \pi} _{0} (-54 \ cos (t).sin(t) + 54 \ sin (t).cos (t) + 12 ) \ dt}$

$\mathbf{= \int \limits ^{2 \pi} _{0} 12 \ dt}$

$\mathbf{= 12 \times 2 \pi}$

= 24 π

3 0

4 years ago

A plane seats 480. If 3/4 of the seats were full, how many people were on the plane? (Multiplying Rational Numbers)

ololo11 [35]

Your equation is just to multiply 480 by 3/4.

Easy way to do these quick.

480 (3/4) is the same as (480 * 3) / 4

480 / 4 = 120

By simplifying, you are left with just 120 * 3 in the numerator

120 * 3 = 360

There are 360 people on the plane.

If you need to check your answer:

360 / 480

Take away the zeros at the end by dividing both by 10

36 / 48

Divide both by 6

6 / 8

Now divide by 2

3 / 4

6 0

3 years ago

Laura owns a bookstore. When she buys books from the publisher, they discounted 40%. How much will a $12 book cost Laura?

ruslelena [56]

Answer:

7.2 dollars

Step-by-step explanation:

I made a table and wrote that 40 percent was 12 dollars then i found ten percent and so on

8 0

4 years ago

Miss Holman have a 90-cent tip to a waitress for serving a meal costing $6.00. What percent of the bill was her tip?

Mashcka [7]

Answer:

Step-by-step explanation:

Cost of meal = $6

Amount of tip = $0.90

To calculate the tip as a percentage of the total cost, divide amount

of tip by the total cost and multiply the result by 100;

Percentage of tip = (amount of tip/cost of meal ) *100

= (0.90 / 6)*100

= 0.15 *100

= 15%

Therefore Miss Holman tipped the waitress 15% of the total cost of the meal

6 0

3 years ago