if bill payed 73.80 for 32 4/5 gallons of gas, how much did he pay per gallon​

Step-by-step explanation:

Hey there!

Here,

The equation is:

[tex]7 \sqrt{3 \: } {x}^{2} + 10x - \sqrt{3 } = 0[/tex]

Comparing the equation with ax^2+bx+c=0. We get;

[tex]a = 7 \sqrt{3} [/tex]

[tex]b = 10[/tex]

[tex]c = \sqrt{3} [/tex]

Now,

Discriminant= ?

We have,

[tex]discriminant = {b}^{2} - 4ac[/tex]

Put all values.

[tex]discriminant = {10}^{2} - 4 \times 7 \sqrt{3} \times \sqrt{3} [/tex]

[tex]discriminant = 100 - 4 \times7 \times 3[/tex]

[tex]discriminant = 100 - 84[/tex]

Therefore the discriminant = 16.

Hope it helps...

Answer:

I would say 3:30

Step-by-step explanation:

The equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]

Let the size of the art be x.

In the morning, she paints 3/4 of x.

So, we have:

[tex]\mathbf{Morning = \frac 34 x}[/tex]

In the evening, she paints 1/8 of x.

So, we have:

[tex]\mathbf{Evening = \frac 18 x}[/tex]

So, the amount of project painted is:

[tex]\mathbf{c = Morning + Evening}[/tex]

This gives

[tex]\mathbf{c = \frac 34x + \frac 18x}[/tex]

Take LCM

[tex]\mathbf{c = \frac{6x + x}8}[/tex]

Add the numerator

[tex]\mathbf{c = \frac{7x}8}[/tex]

So, we have:

[tex]\mathbf{c = \frac{7}{8}x}[/tex]

Hence, the equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]

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Answer:

RS= 20

ST= 40

RT=60

Step-by-step explanation:

If you notice, RS and ST make up RT. Therefore, we add RS and ST, and set that equal to RT.

3x-16+4x-8=60               [combine like terms]

7x-24=60                        [add both sides by 24]

7x=84                              [divide both sides by 7]

x=12

Now that we know x, we can plug them into RS.

3(12)-16                          [multiply]

36-16                              [subtract]

20

We can also find ST.

4(12)-8                            [multiply]

48-8                                [subtract

40

Answer:

It should be 3 to 8

Step-by-step explanation:

Answer:

3:8

Step-by-step explanation:

because there are 3 cups of drink mix and 8 cups of water

Answer:

4^4 or 256

Step-by-step explanation:

Answer:

[tex]4^{4}[/tex]

Answer:

The equation of the circle with centre (h,k) and radius (r) can be written as :-

[tex] \\ \qquad \sf \: {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ [/tex]

So, we are given with :-

Now, by putting their value we can write the equation as :-

[tex] \\ \qquad\sf \: {(x - 2)}^{2} - {(y - 6)}^{2} = {4}^{2} (16) \\ [/tex]

Expanding this, we get :-

[tex] \\ \sf {x}^{2} - 4x + 4 + { y}^{2} - 12y + 36 = 16 \\ [/tex]

Rearranging and by subtracting by 16 from both sides we got standard polynomial as -

[tex] \\ \sf \: {x}^{2} + {y}^{2} - 4x - 12y + 20 = 0 \\ [/tex]

Answer:

j

Step-by-step explanation:

Answer:

last choice: 55,000 + 3,700n = 63,000 + 2,900n

Step-by-step explanation:

Blanca's salary now: 55,000

Adding $3,700 per year will add 3,700n in year n.

Her salary in year n will be 55,000 + 3,700n

Isabel's salary now: 63,000

Adding $2,900 per year will add 2,900n in year n.

Her salary in year n will be 63,000 + 2,900n

We set the two total salaries equal:

55,000 + 3,700n = 63,000 + 2,900n

Answer:

the answer is D i did and made a 100 good luck on rest of the test

Step-by-step explanation:

The Answer is

A~13057.38

The money, to the nearest cent, would be in the account after 15 years is $13060.

Due to the high frequency of compounding, daily compounded interest is larger than monthly/quarterly compounded interest since interest is accumulated on a daily basis and is determined by charging interest on principal plus interest gained on a daily basis

It is given in the question that Kennedy invested $5000

Interest rate = 6.4% compounded daily

Assuming no deposits and withdrawals

T = 15 years

The formula for amount obtained after 15 years when interest is compounded daily

[tex]\rm A = (P(1 + \dfrac{r}{n})^{nt})[/tex]

[tex]\rm A = (5000(1 + \dfrac{6.4}{365*100})^{365*15})[/tex]

A = 5000 * 2.612

A = $13060

Therefore , money, to the nearest cent, would be in the account after 15 years is $ 13060.

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Answer:

Well, subtract 3 and 5 first, you get 2, then subtract 4-2. you get 2.

Step-by-step explanation:

(3-5) = 2

4-2=2

Answer:

Let (-18, -5) be (x1,y1)

(-19, -13) be (x2,y2)

slope = (y2-y1)/(x2-x1)= (-13+5)/(-19 +18) = 8

Answer: The slope is 8.

Step-by-step explanation: To get the slope you have to do y2 - y1 over x2 - x1. so you take the -5 and subtract -13 from it, which equals 8. Then subtract -19 from -18 which is 1. So you have 8/1 which is 8.

Answer:

Gray kangaroo weighs 87 kg.

Step-by-step explanation:

Total weight of the two kangaroo = 139 kg.

Let the weight of the gray kangaroo be represented by p.

Since the red kangaroo weighs 35 kg less than the gray kangaroo = (p - 35) kg.

Thus;

weight of gray kangaroo + weight of red kangaroo = 139 kg

p + (p -35) = 139

p + p -35 = 139

2p = 139 + 35

2p = 174

p = 87

The weight of the gray kangaroo is 87 kg.

Weigth of the red kangaroo = (87 - 35)

                                               = 52 kg

The gray kangaroo weighs 87 kg.

let the weight of the gray kangaroo as G.

We have,

the red kangaroo weighs 35 kg less than the gray kangaroo.

So, the weight of the red kangaroo can be represented as G - 35.

We also know that the combined weight of the red kangaroo and the gray kangaroo is 139 kg. So we can write the equation:

G + (G - 35) = 139

Combining like terms:

2G - 35 = 139

Now, let's solve for G by isolating the variable:

2G = 139 + 35

2G = 174

Dividing both sides by 2:

G = 174 / 2

G = 87

Therefore, the gray kangaroo weighs 87 kg.

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Answer:

He does that because he is short and his hand can't reach the 20th floor button

Step-by-step explanation:

Mitch does that simply because he is short.

When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.

Answer:

f or 2 meters is the correct answer

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

2.8*2.8=7.84. 2.8 is the closest to the length of one side of the square.

Answer:

e or f

Step-by-step explanation:

Answer:

Okay, I think you mean't 4x-9=6x+12.

Step-by-step explanation:

x=-7

Step-by-step explanation:

: 40=8d

divide both sides by 8

40/8=8d/8

d=5

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{40 = 8d}[/tex]

[tex]\textsf{FIRST \& LAST step: DIVIDE by 8 on both of your sides}[/tex]

[tex]\mathsf{\dfrac{40}{8} = \dfrac{8d}{8}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{8}{8}\ because\ it\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{40}{8}\ because\ that\ helps\ us\ solve\ for\ \bf{d} \textsf{ \ or \ answers\ d}}[/tex]

[tex]\mathsf{\underline{\dfrac{40}{8} = 40\div8 \rightarrow 5}}[/tex]

[tex]\mathsf{Answer}[/tex]

[tex]\textsf{\bf{d = 5}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Answer:

line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Step-by-step explanation:

Answer:

x² + 4xtx + 4t²

Step-by-step explanation:

Given

(x + 2t)² = (x + 2t)(x + 2t)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 2t) + 2t(x + 2t) ← distribute both parenthesis

= x² + 2tx + 2tx + 4t² ← collect like terms

= x² + 4tx + 4t²

I done it

I attached it

x = # of days Maria worked

x + 5 = # of days Fred worded

$16(x + 5) + $18x = $1780

Let's distribute the $16

$16x + $80 + $18x = $1780

Combine like terms

$34x + $80 = $1780

Subtract $80 from both sides.

$34x = $1700

Divide both sides by $34

x = 50 days

Maria worked 50 days

Answer:

5 I’m guessing

Step-by-step explanation:

If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.

Answer:

On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 60), (3, 90), (4, 120), and (5, 150) are plotted.

Step-by-step explanation:

Answer

Im going to keep this simple the answer is c

Step-by-step explanation:

Answer:

4 ;P !!!!!!!!!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

3) x=7

4) x=6

5) x=8

6) x=4

AB=24

Step-by-step explanation:

3) 3x+4x=49

7x=49

x=49÷7

x=7

4) (8x-14)+(4x+1)=59

12x-13=59

12x=59+13

12x=72

x=6

5) 6x-7=5x+1

6x-5x=1+7

x=8

6) 6x+2x+1=33

8x=33-1

8x=32

x=4

AB=6x=6(4)=24

☽------------❀-------------☾

Hi there!

~

2.3 to 1 significant figure.

= 2

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

2

Step-by-step explanation:

Locate the ones place:

2.3

Check the next number:

2.3

Since the number is less than or equal to 4, we round down.

2.3 ≈ 2

Hope this helps.

Answer: the answer is 3.2 miles

Step-by-step explanation:

The distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A fisherman can row upstream at 1 mph and downstream at 4 mph.

He started rowing upstream until he got tired and then rowed downstream to his starting point.

Let the time of row upstream is x hours

Let the time of row downstream be y hours

From the question:

x + y = 2

x = 2 - y

x = 4y

Solving the above two linear equations by substitution method:

2 - y = 4y

5y = 2

y = 2/5

y = 0.4 hours

Distance = speed×time

Distance = 4×0.4 = 1.6 miles

= 1.6×2 = 3.2 miles

Thus, the distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.

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