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2 years ago

1.Kori spent $46.20 on 12 gallons of gasoline. What was the price per gallon?

Mathematics

1 answer:

spin [16.1K]2 years ago

8 0

1: B $3.85

2: C The rabbit; 14 miles per hour

3: C 2 1/2 miles

1. Reason: To find the price per gallon, all you need to do is divide 46.20 by 12 to get 3.85

2. Reason: To find which animal is faster all you have to do is subtract the greater number, which is the rabbit that travels 35 miles per hour from the smaller number which is the fox that travels 21 miles.

Subtract: 35-21= 14. So the rabbit is faster by 14 miles.

3. Reason: If Randy walks 1/2 mile in every 1/5 hour, to find the much he will walk in a hour you could count up:

1/2 mile = 1/5 hour

1 mile = 2/5 hour

1 1/2 mile = 3/5 hour

2 mile = 4/5 hour

2 1/2 mile = 1 hour

So, Randy will travel 2 1/2 miles in a hour.

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More then 120 billion grant

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2 years ago

2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.

Fudgin [204]

Answer:

$\sf t_{20}= 0$

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

$\sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }$

6th term is 14 ⇒ $\sf t_6 = 14$

a + (6 - 1)d = 14

a + 5d = 14 --------------(I)

14th term is 6 ⇒ $\sf t_{14} = 6$

a + (14-1)d = 6

a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

(I) a + 5d = 14

(II) a + 13d = 6

-8d = 8

d = 8 ÷(-8)

$\sf \boxed{\bf d= (-1)}$

Plugin d = -1 in equation (I)

a + 5(-1) = 14

a -5 = 14

a = 14 + 5

$\sf \boxed{\bf a = 19}$

20th term:

$\sf t_{20}= 19 + 19*(-1)$

= 19 - 19

$\sf \boxed{\bf t_{20} = 0}$

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1 year ago

Read 2 more answers

FG ∥ CB, A ∈ FG, D ∈ AB, E ∈ AC

andrey2020 [161]

Answer:

The value of x is $31^{\circ}$ .

Step-by-step explanation:

Please look at the figure attached to get more clear solution.

We have given:

FG||CB

And the line that cut the parallel line is transversal so, here BA is transversal

And alternate interior angles on transverse line are equal

So, ∠1=∠4

And ∠4= $28^{\circ}$

Hence, ∠1=∠4= $28^{\circ}$

And On FG the sum of angles will be $180^{\circ}$

∠3+∠2+∠1= $180^{\circ}$

$90^{\circ}$ +∠2+ $28^{\circ}$ = $180^{\circ}$

Hence, ∠2= $62^{\circ}$

Now, we know that the sum of interior angles is equal to the exterior angle:

Therefore, ∠2+∠5=∠6+∠7

$62^{\circ}+3x=x+4x$

On simplification we get:

$2x=62^{\circ}$

$x=31^{\circ}$

Hence, the value of x is $31^{\circ}$ .

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2 years ago

A water hose at a fire station leaked 80 gallons of water water leak at a rate of 20 gallons every 4 minutes at this rate, how m

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It would be 16 minutes because you would divide 80 by 20 and you get 4 so now you multiply 4 by 4 and you get 16

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A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compression strength of more than 130

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Answer:

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And the alternative hypothesis is:

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Step-by-step explanation:

The null hypothesis describes hat there is no difference or assiciation between variables of a specific population or that it is a particular average value while the alternative hypothesis states otherwise.

In this case study, the null hypothesis is: u >= 1300 KN/m^2

And the alternative hypothesis is:

u < 1300 KN/m^2.

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