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Ket [755]
3 years ago
9

If you drive 60 miles and have 15 gallons of gas remaining in your tank. Then u continue driving and calculate that after drivin

g 268 miles you have 7 gallons left what is your rate ?
Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

26.

But the proportion seems wrong.

Step-by-step explanation:

If you put this as two ordered pairs and solve for the slope, you will get your rate. Let the slope = m

(15,60) and (7,268)

m = (268 - 60) / (15 - 7)

m = 208/8

m = 26

According to this, you are going 26 miles per every gallon used.

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Complete the TABLE of values for x+y=6.
kvasek [131]

Answer:

X        Y

-2       8

-1        7

0        6

1         5

2        4

3        3

Step-by-step explanation:

We have the equation: x+y=6

We want to get this in the form: y=mx+b (or in this case y=x+b)

To do this we need y to be positive and by itself

So we subtract y from both sides and divide by -1 (we divide by -1 because otherwise y would be negative and that does not fit our template of y=x+b)

Doing this we have

-x+6=y

From here we just plug in numbers -2 to 3 which I will assume you know how to do

X        Y

-2       8

-1        7

0        6

1         5

2        4

3        3

6 0
3 years ago
. QUIZ You answered 14 questions correctly on a 15-question quiz. What percent did you receive on the quiz? Round to the nearest
Valentin [98]

Answer:90%

Step-by-step explanation:

3 0
3 years ago
12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5
Gnesinka [82]

\large\underline{\sf{Solution-}}

Given that,

In <u>triangle TPQ, </u>

  • RS || PQ,

  • RS = 3 cm,

  • PQ = 6 cm,

  • ar(∆ TRS) = 15 sq. cm

As it is given that, <u>RS || PQ</u>

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

\rm\implies \: \triangle TPQ \:  \sim \: \triangle TRS \:  \:  \:  \:  \:  \:  \{AA \}

<u>Now, We know </u>

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)}  = \dfrac{ {PQ}^{2} }{ {RS}^{2} }

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = \dfrac{ {6}^{2} }{ {3}^{2} }

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = \dfrac{36 }{9}

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = 4

\rm\implies \:ar( \triangle \: TPQ)  = 60 \:  {cm}^{2}

3 0
2 years ago
What is tan 60?<br><br> A. v3<br> B. v3/2<br> C. 1/2<br> D. 1/v3<br> E. 2/v3<br> F. 1
anyanavicka [17]

Answer:

A

Step-by-step explanation:

Tangent is opp over adjacent (square root 3 over 1 = square root 3)

Hope that helped! :))

7 0
3 years ago
Read 2 more answers
Emma has a board 5 feet long and cuts it into 6 equal pieces how long in feet is eacgpeace if the board in a fraction
il63 [147K]

Answer:

Imagine an easier version of this problem:  You have a board 5 feet long that you must cut (divide, right?) into two equal parts.  It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.

We do not ordinarily divide feet into decimal portions, but instead into inches.  Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths?  or 5/6 = n/12  Solve this by inspection or by cross multiplying 5 times 12 equals n times 6.  So n must equal 10, and your pieces of board are each 10 inches long.

4 0
3 years ago
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