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3 years ago

Abigail”s car used 9 gallons of gas to travel 378 miles. How many gallons of gas would she need to travel 210 miles?

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

4 0

Answer: 5 gallons

Step-by-step explanation:

378 divided by 210 = 1.8

9 divided by 1.8 = 5

So, she would need 5 gallons to travel 210 miles

pochemuha3 years ago

3 0

Answer: 5 gallons

Step-by-step explanation:

First, we need to know how many miles we can get by on a gallon of gas. To find this, we need to divide 378 miles by 9 gallons.

378/9 = 42

42 miles per gallon.

Now, we need to find how many gallons of gas it will take Abigail to travel 210. To find this, we simply divide 210 by 42.

210/42 = 5

It will take Abigail 5 gallons of gas to travel 210 miles.

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kareem is going for a run. he runs for 9.6 miles at a speed of 9 miles per hour, for how many hours does he run

masya89 [10]

You can set it up as a proportion like so....

9.6 = 9
 1 x

9.6x = 9
x = 9/9.6
x = 0.9375 hrs

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3 years ago

Find the area of the triangle with height (x+8) and base (2x+4). (A=1/2bh)

omeli [17]

Answer:

x^2+10x+16

Step-by-step explanation:

Plug in the values

h=x+8

b=2x+4

A=1/2(2x+4)(x+8)

A=(x+2)(x+8)

FOIL: x^2+8x+2x+16

A=x^2+10x+16

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2 years ago

Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some informat

Ede4ka [16]

Answer:

The answer is below

Step-by-step explanation:

From the image, we can see that DC is parallel to AB.

Step 1:

Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.

Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Step 2:

DB ≅ BD (reflexive property of congruence)

Step 3:

∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:

Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.

Step 4:

BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.

Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .

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3 years ago

Can someone explain this to me pls

Alekssandra [29.7K]

YOU ARE SMART YOU CAN DO THIS

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3 years ago

Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69

Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

$0.0000069 = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069 = 6.9 \time 10 ^{-7 +1} \\0.0000069 = 6.9\times 10^{-6}$

(we used two facts: first that : $\dfrac{a}{b} = a \times \dfrac{1}{b}$

and second that: $a^{-b}= \dfrac{1}{a^b}$

Thus, the value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

Learn more about scientific notations here:

brainly.com/question/3112062

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2 years ago