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Tju [1.3M]
3 years ago
14

Match the correct items.

Mathematics
2 answers:
avanturin [10]3 years ago
6 0
1) exemption
2) unemployment insurance
3) 6.5%
4) charitable contributions
5) group health plan

Hope this helps! :)
STALIN [3.7K]3 years ago
6 0

Answer:

To find : Match the correct items below:

Exemption

6.5%

charitable contribution

unemployment insurance  

group health plans

1. Specific amount not to be considered for income tax

→  Exemption    

2. Some states require employee contribution to this program

→ Unemployment insurance  

3. Percentage rate for social security contributions  -

→ 6.5%

4. Voluntary with holding type of deduction  

→  Charitable contributions  

5.  An alternative to a personal health plan

→ Group health plan  

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Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons
worty [1.4K]

Answer:

<em>Part A)</em><em>The amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<em>Part B) </em><em>it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) </em><em>The water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

Step-by-step explanation:

<em>Information fetching:</em>

  • Tank of water can hold up-to 10 gallons.
  • When it is active, a drain empties water from the tank at a constant rate.
  • 7 gallons of water present in the tank when Jade first saw
  • 5 gallons of water left after 3 minutes

<em>Part A) At what rate is the amount of water in the tank changing?</em>

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be <em>-2/3 gallons per minute. </em>Hence, <em>the amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<u><em>Note</em></u><u><em>: </em></u><u>negative sign indicates the number of gallons of water are decreasing.</u>

<em>Part B) How many more minutes will it take for the tank to drain completely.</em>

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

    m = 5 (3/2)

      = 15/2

      = 7.5 minutes

<em>So, it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) How many minutes before Jada arrived was the water tank completely full</em>

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

    (2/3) (m) = 3

    m = 3(3/2) = 9/2

        = 4.5 minutes

<em>So, the water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

<em />

<em>Keywords: time rate of change, time</em>

<em> Learn more about time rate of change from brainly.com/question/6279456</em>

<em> #LearnwithBrainly </em>

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4 years ago
How many inches will it be 54in by 42in
Dmitry_Shevchenko [17]
It's actually 2268 square inches, or in with a little two in the corner
3 0
4 years ago
MATHEMATICS: A boy leaves home at 09:15 hours and arrives at 10:05 hours. If he travels nonstop at an average speed of 6kmh ,wha
love history [14]

Answer:

5 km.

Step-by-step explanation:

We have to calculate the distance if we apply the speed formula that would be the distance in a given time:

v = d / t

therefore, if we solve for distance it would be:

d = v * t

Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:

50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:

d = 6 * 0.8333

d = 5

In other words, the distance between the school and the house is 5 km.

5 0
3 years ago
PLEASE HELP ASAP 9TH GRADE MATH AND I NEED HELP, 15 POINTS AND BRAINLIST HELPPPP
Sunny_sXe [5.5K]

Answer:

x = 40°

Step-by-step explanation:

Given that ∠SRT ≅ ∠STR

Then ∠STR = 20

∠STR  and ∠STU are what you call supplementary angles. This means that the sum of their measurements is equal to 180° because they form a straight line.

So if:

∠STR + ∠STU = 180°

m∠STU = 4x

m∠STR = 20

Then:

4x + 20° = 180°

Now we solve for x:

4x + 20 = 180\\\\Subtract\;20\;from\;both\;sides\;of\;the\;equation\\\\4x + 20 - 20 = 180 - 20\\4x = 160\\\\Divide\;both\;sides\;of\;the\;equation\;by\;4\\\\\dfrac{4x}{4}=\dfrac{160}{4}\\\\x = 40

x = 40°

8 0
3 years ago
Express the following as a fraction in its simplest form.
pychu [463]

Given:

Consider the given expression is:

\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}

Taking LCM, we get

=\dfrac{10(h+f)+15(f+k)+6(4h-k)}{30}

=\dfrac{10h+10f+15f+15k+24h-6k}{30}

=\dfrac{34h+25f+9k}{30}

Therefore, the required simplified fraction for the given expression is \dfrac{34h+25f+9k}{30}.

6 0
3 years ago
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