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olasank [31]
3 years ago
15

The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s

tank hold?
**18 gallons**
Explain why this situation can be represented by the equation ( 1.5 ) ⋅ 12 = t. Make sure that you explain what t represents.
Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

<h2>Below, Hope this helps :)</h2>

Step-by-step explanation:

The variable t represents the amount of gas in mom's truck. Since we need to find a number that is 50% more than 12, we use 1.5 (we would use 2 if we want 100% more, so it makes sense that we use 1.5, since we want to add 1/2 of 12 to 12. The answer is 18.)

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Yo im not good at this stuff, can someone help me?​
Kazeer [188]

Answer:

  21 kWh

Step-by-step explanation:

1. Subtract 25% from the original amount.

  25% of 28 kWh is ...

  0.25 × 28 kWh = 7.00 kWh

Subtracting this from 28 kWh, we find the usage after reduction to be ...

  28 kWh - 7 kWh = 21 kWh

__

2. We know that if we reduce 100% of a quantity by 25%, then the resulting amount is (100 -25)% = 75% of the original. As a fraction, this is 75/100 = 3/4 of the original amount. Then the reduced usage is ...

  (3/4) × (28 kWh) = 3·(7·4)/4 kWh = 3·7 kWh = 21 kWh

__

Mario must reduce his usage to 21 kWh or less.

7 0
3 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
Lynna [10]

ANSWER

1.39

EXPLANATION

The given quadratic equation is

0 = 2 {x}^{2}  + 3x - 8

This is the same as,

2 {x}^{2}  + 3x - 8 = 0

Comparing to

a {x}^{2}  + bx  + c = 0

We have

a=2, b=3,c=-8

Using the quadratic formula, the solution is given by:

x =  \frac{ - b \pm \:  \sqrt{ {b}^{2}  - 4ac} }{2a}

We substitute the values to get,

x =  \frac{ - 3\pm \:  \sqrt{ {3}^{2}  - 4(2)( - 8)} }{2(2)}

x =  \frac{ - 3\pm \:  \sqrt{ 73} }{4}

The positive root is

x =  \frac{ - 3 + \:  \sqrt{ 73} }{4} = 1.39

to the nearest hundredth.

4 0
3 years ago
Read 2 more answers
Which of the following best describes how the y values are changing over each interval?
ziro4ka [17]

Answer:

y=ax+b

a=-0.6020457867

b=-2.256697516   <------- There is your value for b, which is the answer to the problem.

You can use these values for a and b to generate an equation in slope-intercept form, which you can then enter under Y= and view the graph.

Step-by-step explanation:

6 0
2 years ago
Please help with number one.
jek_recluse [69]

Answer:

yo mom

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yo mom yo mom

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yo mom yo mom

3 0
3 years ago
Find x <br>76° 6x-9 47°​
Zina [86]

This is not formatted correctly.

76 degrees and 47 degrees?

5 0
3 years ago
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