you pay 3.3 cents per minute for long-distance phone calls on your phone. your phone bill is $3.40 write and solve an equation to find the number of minutes m of long-distance calls you made

Answers

Answer 1

Answer: If you would like to know the number of minutes of long-distance calls you made, you can calculate this using the following steps:

3.3 cents = $0.033
m = $3.40 / 3.3 cents
m = $3.40 / $0.033 = 3.40 / 0.033
m = 103.03 minutes

The correct result would be 103.03 minutes.

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suppose a sorority sells 500 raffle tickets to raise money for a local charity. you purchase 17 of the tickets. if the winning ticket is chosen at random, what is the probability that one of your tickets is chosen as the winning ticket?

Answers

if you have 17 of the 500 tickets, the probability one of yours will be picked is $(17)/(500)$

A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground 60m away from the flagpole, the top of the flagpole and the top of the building line up. If the flagpole is 35m tall and Marquis is 170m from the building, how tall is the building?

Answers

The height of the office building is 99.2 meters

The given parameters are:

d1: The flagpole's distance from the office building = 60 m
d2: Marquis' distance from the office building = 170 m
h1: Height of the flagpole = 35 m

The above parameters can be represented using the following equivalent ratio

$h1 : d1 = h2 : d2$

Express as fraction

$(h1 )/( d1) = (h2 )/( d2)$

So, we have:

$(35)/(60)=(h2)/(170)$

Multiply both sides by 170

$170 * (35)/(60)=h2$

$99.2=h2$

Rewrite as:

$h2 =99.2$

Hence, the building is 99.2 meters tall

Read more about equivalent ratios at:

brainly.com/question/2328454

Answer:

99.17m

Step-by-step explanation:

In the diagram, Marquis is at Point A and the flag pole is length DE, the building is of length BC.

Triangles ADE and ABC are therefore similar right triangles.

Applying this,

[TeX]\frac{|DE|}{|AE|}=\frac{|BC|}{|AC|}[/TeX]

[TeX]\frac{35}{60}=\frac{|BC|}{170}[/TeX]

|BC|=170*35÷60

|BC|=99.17m

The elevation we call sea level is actually the average level of the sea. This means that at average sea level, the elevation is zero. In reality, the level of the sea rises and falls in what are called tides. Low tide is the point of lowest sea level in a tidal period. High tide is the point of highest sea level in a tidal period. The height above or below average sea level is called elevation. An elevation below sea level is considered a negative value, while an elevation above sea level is positive.Winston lives near the ocean. He regularly brings an altimeter to the beach to measure the elevation of the ocean’s surface. You will use the data Winston gathered to complete tasks about the rising and falling of the ocean’s surface. When necessary, sketch a diagram of the situation on a separate sheet of paper to assist you.
On Monday at 1pm, when the ocean’s surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean’s surface. At 7 p.m. when the ocean’s surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean’s surface.

What was the net change in the elevation of the ocean’s surface from 1 p.m. to 7 p.m.?

Answers

Answer:

-4.6 ft

Step-by-step explanation:

The question is asking for the net change in the ocean's surface elevation, so we can ignore the parts of the question that mention his own elevation at the time of the measuring. We can see at 1, the elevation was 2.2, and at 7, the elevation was -2.4. The net change is the whole change over the period of time, so we just need to find the difference between the two. Adding them together gives you the distance from each elevation the sea's surface was, which is -4.6 ft as the elevation decreased

-2(a-8)+6a=36
what's the value of a
A=

Answers

Distribute -1 into the brackets.
-2(a - 8) + 6a = 36
-2a + 16 + 6a = 36
Take 16 to the other side
-2a + 6a + 16 = 36
- 16 -16
-2a + 6a = 36 - 16
Combine like terms
4a = 20
Divide by 4 on either sides to isolate a
$(4a)/(4) = (20)/(4)$
4 and 4 cancels out.
a = 5

Solve for y.-5y - 9 = -(y - 1)

Answer choices:
a. -1/2
b. -2 1/2
c. -2
d. -2/5

I am brain-dead. :|

Answers

-5y - 9 = -(y - 1)

First, simplify your brackets. / Your problem should look like: $-5y - 9 = -y + 1$
Second, regroup the terms. / Your problem should look like: $-5y - 9 = 1 - y$
Third, add 5y to both sides. / Your problem should look like: $-9 = 1 - y + 5y$
Fourth, simplify 1 - y + 5y to 1 + 4y. / Your problem should look like: $-9 = 1 + 4y$
Fifth, subtract 1 from both sides. / Your problem should look like: $-9 - 1 = 4y$
Sixth, subtract -9 - 1 to get -10. / Your problem should look like: $-10 = 4y$
Seventh, divide both sides by 4. / Your problem should look like: $-(10)/(4) = y$
Eighth, simplify $(10)/(4)$ to $(5)/(2)$ / Your problem should look like: $- (5)/(2) = y$
Ninth, switch your sides. / Your problem should look like: $y = -(5)/(2)$

Answer: y = $-(5)/(2)$
Answer as decimal: y = -2.5

Answer:

y = -2 $(1)/(2)$