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2 years ago

B. 7) 3z + 8 - 2 = -35

Mathematics

1 answer:

Kamila [148]2 years ago

4 0

Answer:

z=9.7

Step-by-step explanation:

3z + 8 - 2 = -35

Subtract 6 from both sides

3z=29

divide 3 from both sides

z=9.7

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A line represented by y = 2x − 3 and a line perpendicular to it intersect at R(2, 1). What is the equation of the perpendicular

neonofarm [45]

Answer:

y = -1/2x + 2

Step-by-step explanation:

y = 2x - 3. The slope here is 2. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, just flip the slope and change the sign.

slope = 2 or 2/1.....flip it.....1/2....change the sign...-1/2. So our perpendicular line will have a slope of -1/2.

y = mx + b

slope(m) = - 1/2

(2,1)....x = 2 and y = 1

now we sub and find b, the y intercept

1 = -1/2(2) + b

1 = -1 + b

1 + 1 = b

2 = b

so ur equation is : y = -1/2x + 2 <===

and u can check it with ur points....(2,1)

y = 2x - 3

1 = 2(2) - 3

1 = 4 - 3

1 = 1 (yep...it checks out)

8 0

2 years ago

A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay

Rufina [12.5K]

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

8 0

3 years ago

Please help me I don’t know how

Goryan [66]

Answer:

6 5/6

Step-by-step explanation:

- 1 1/6

We need to borrow from the 8

We will borrow 1 from the 8 and make it a 7. The 1 will be written in the form 6/6

7 6/6

- 1 1/6

-----------------

6 5/6

4 0

3 years ago

Solve for x: −34x−1=115 .

krek1111 [17]

Answer:

x = - $\frac{64}{45}$

Step-by-step explanation:

- $\frac{3}{4}$ x - 1 = $\frac{1}{15}$

add 1 to both sides:

- $\frac{3}{4}$ x = $\frac{16}{15}$

multiply both sides by 4:

-3x = $\frac{64}{15}$

divide both sides by -3:

x = - $\frac{64}{45}$

7 0

3 years ago

Read 2 more answers

Consider an experiment involving the game spinner pictured below. A 20 trial experiment is conducted to determine the probabilit

Nookie1986 [14]

Answer: 1/4

Step-by-step explanation:

To determine the probability of landing on blue, you divide by the total number of spins.

In this experiment, the probability of the spinner landing on blue after 20 spins would be 15%.

This makes the probability of landing on blue to be:

Pr (landing on blue) / Pr (total trials) = 5/20

This gives 1/4

4 0

3 years ago