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Delvig [45]
3 years ago
14

A car holds 24 gallons of gas how many quarts can the gas tank hold

Mathematics
2 answers:
mash [69]3 years ago
7 0
The answer is 96.
24 divided by 4 is 6.
4 times 24 equals 96. there is 4 quarts in a gallon.
grin007 [14]3 years ago
6 0
How many quarts are in a gallon?

Lets solve!

1 gallon = 4 quarts

24*4 = 96

Answer:- There are 96 quarts in 24 gallons. 
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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point
Maksim231197 [3]

Answer: (6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0) are the required points.

or  (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

Taking square on both the sides , we get

(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0

Using quadratic formula : x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}

so, (6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0) are the required points.

since \sqrt{3}=1.732

so, (6+7(1.732),0)\text{ and }(6-7(1.732),0) are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0
3 years ago
the population of happy land is 15.8 happys per acre exactly 553 happys live in happy land. how many acres is happyland
Crank

Answer:

35 acres.

Step-by-step explanation:

Proportions:

15. 8 ⇒ 1 acre

553 ⇒  P acres

P = 553*1/15.8

P = 35 acres

5 0
1 year ago
Which is equivalent to 4 square root 9^1/2^?
zzz [600]
I think this is it,please try and looking it up also for a better explanation

3 0
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Math<br><br><br> is my answer correct??
matrenka [14]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Here's the solution ~

The given points are : (-7 , -4) and (1 , 1)

now, let's use distance formula to find the distance between them !

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:\sqrt{(x_2 - x_1)² +( y_2 - y_1)² }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{( - 7 - 1) {}^{2}  + ( - 4  - 1) {}^{2} }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{( - 8)² +(  - 5)² }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{64 + 25}

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{89}

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