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3 years ago

3(2x + 3) - 4x = -3 SHOW YOUR WORK PLEASE =D

2 answers:

8 0

This is the answer:

step 1: distribute
your equation should look like this: 6x+9-4x=-3

step 2: combine like terms
your equation should look like this: 2x+9=-3

step 3: subtract both sides by 9
your equation should look like this: 2x=-12

step 4: divide both sides by 2 (don't divide both sides by 2x)
your answer and equations should be: x=-6

Sati [7]3 years ago

6 0

3(2x + 3) - 4x = -3

STEP 1: Simplify both sides of the equation.
(3)(2x) + (3)(3) + -4x = -3 (Distribute)
6x + 9 + -4x = -3
(6x + -4x) + (9) = -3 (Combine Like Terms)
2x + 9 = -3
2x + 9 = -3

STEP 2: Subtract 9 from both sides.
2x + 9 - 9 = -3 - 9
2x = -12

STEP 3: Divide both sides by 2.
2x/2 = -12/2
x = -6

FINAL ANSWER: x = -6

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Amy has three pieces of string of length 16 cm, 56 cm and 24 cm respectively. For an art project, she wants to cut the three len

____ [38]

Answer:

8cm

Step-by-step explanation:

Given three pieces of string of length 16 cm, 56 cm and 24 cm respectively. To get the the greatest length that each piece of string can be if she wants to cut the three lengths of string into smaller pieces such that all the pieces are of equal length, with no string left over, we will have to find the greatest common factor for the three lengths

16 = 2 * 8

56 = 7 * 8

24 = 3 * 8

Since 8 is common to all the factors, hence the greatest common factor is 8.

Hence the greatest length that each piece of string can be, in cm is 8cm

6 0

3 years ago

You built a skateboard ramp in the shape of a triangular prism. If you want to paint the entire ramp, even the bottom, what is t

olchik [2.2K]

Answer:

180 ft²

Step-by-step explanation:

In order to find the total area to paint, you need to find the surface area of the entire figure, which is the sum of the areas of all the sides. Since there are 5 faces to the prism, including the bottom, you will need to add the area of all five faces. The sides of the ramp are triangles with a base of 12 ft and height of 5ft. The area of a triangle is: A = 1/2bh. Since there are two triangles with the same dimensions:

12 x 5 = 60 ft²

Next, the top of the ramp is a rectangle with a length of 13 ft and width of 4 ft:

13 x 4 = 52 ft²

The bottom of the ramp is also a rectangle with length of 12 ft and width of 4 ft:

12 x 4 = 48 ft²

Lastly, the height of the ramp is 5 ft with a width of 4ft, also in the shape of a rectangle:

5 x 4 = 20 ft²

Add them all together:

20 + 48 + 52 + 60 = 180 ft²

7 0

4 years ago

It has been suggested that night shift-workers show more variability in their output levels than day workers (σ2N > σ2D). Bel

Murljashka [212]

Answer:

Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance

Null hypothesis is rejected

The night shift-workers show more variability in their output levels are greater than day workers

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 9

Given mean of the first sample x₁⁻ = 520

Given sample variance of the first sample'S²₁' = = 38

Standard deviation of the first sample 'S₁' = √38 =6.16

Given second sample size n₂ = 8

Given mean of the second sample x₂⁻ = 540

Given sample variance of the second sample ( 'S²₂' = 20

Standard deviation of the second sample 'S₂' = √20 = 4.4712

Step(ii):-

Null hypothesis :H₀: σ²₁ =σ²₂

Alternative Hypothesis:H₁: σ²₁ > σ²₂

Test statistic

$t = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S^2_{1} }{n_{1} }+\frac{S^2_{2} }{n_{2} } } }$

$t = \frac{520 - 540 }{\sqrt{\frac{38 }{9 }+\frac{20 }{8 } } }$

t = - 7.72

|t| = |- 7.72| = 7.72

Degrees of freedom

ν = n₁ + n₂ -2 = 9 +8 -2 = 15

t₀.₀₅ = 2.1314

Final answer:-

Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance

Null hypothesis is rejected

The night shift-workers show more variability in their output levels are greater than day workers

4 0

3 years ago

100x 6 x 17x8x2x1 = Simplify

vichka [17]

Answer: 163,200

Step-by-step explanation: multiplied all

8 0

4 years ago

Can one of you lovely people help me please ?

saveliy_v [14]

Answer:

the answer is

C. = x=22.82

4 0

3 years ago

Read 2 more answers