Evaluate the expression if g = 3 10g - 6 a. 24 b. 7 c. 30 d. -30

the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons

padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

Upper Limit

$\dfrac{11}{16} + \dfrac{1}{64}$

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

$\dfrac{11*4}{16*4} + \dfrac{1}{64}$

$\dfrac{11*4}{16*4} + \dfrac{1}{64}$ Which results in

$\dfrac{44}{64} + \dfrac{1}{64}$

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

Lower Tolerance

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

$\dfrac{11}{16} - \dfrac{1}{64}$

Your answer should be 3 and 43/64

4 0

3 years ago

Which pair of monomials has the least common multiple (LCM) of 54x2y3?

Lera25 [3.4K]

ANSWER

The correct answer is D.

EXPLANATION

If we express the monomial,

$18 {x}^{2} y$

as product of primes, we obtain:

$2 \times {3}^{2} \times {x}^{2}y$

If we express the monomial

$27x {y}^{3}$

as product of primes we obtain:

$= {3}^{3} \times x {y}^{3}$

The least common multiple of these two binomials is the product of the highest powers of the common factors.

The LCM is

$= 2 \times {3}^{3} \times {x}^{2} {y}^{3}$

$=54 {x}^{2} {y}^{3}$

Therefore the correct answer is D.

6 0

3 years ago

Read 2 more answers

Geraldo recently saw a newspaper ad for a new version of his laptop. the projected price is $400.00, and the laptop will be out

Tanya [424]

The amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad is $ 390.24.

Given that:-

Price of the laptop after 1 year = $ 400.

Inflation rate = 2.5 %

We have to find the amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad.

Let the price he had to pay be x.

Hence, we can write,

x + (x*(2.5)*1)/100 = 400

x(1 + 1/40) = 400

x(41/40) = 400

x = 400*40/41 = $ 16000/41 = $ 390.24.

To learn more about amount, here:-

brainly.com/question/8082054

#SPJ1

5 0

1 year ago

Solve for x. 3x/y-4z=12

Nat2105 [25]

X= 4y+4/3yz this is they solution

7 0

3 years ago

Where will her cut be located? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A

Arte-miy333 [17]

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2 $x$ and PC = 3 $x$

Now, BP + PC = BC = 58 = 2 $x$ + 3 $x$ = 5 $x$

So,

$5x =58\\\Rightarrow x =11.6$

BP = $2\times x = 2 \times 11.6 = 23.2\ inches$

Location of the Cut = 2 + 23.2 = 25.2 inches

Alternatively, we can use the formula directly:

$x = \dfrac{m} {m + n } (x_2 - x_1) + x_1$

$x_1 = 2\\x_2 = 60$

m: n is the ratio 2:3

$x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}$

5 0

3 years ago

Read 2 more answers

Evaluate the expression if ​g​ = 3 10​g​ - 6 a. 24 b. 7 c. 30 d. -30

Evaluate the expression if g = 3 10g - 6 a. 24 b. 7 c. 30 d. -30