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3 years ago

If gasoline costs $1.99 per gallon and your car gets 27 miles per gallon what is your fuel cost if you travel 600 miles

Mathematics

2 answers:

mezya [45]3 years ago

5 0

600 miles / 27 miles per gallon = 22.22 gallons

22.22 * 1.99 = $44.22 total cost

sergeinik [125]3 years ago

3 0

$42.22

hope this helps

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Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a

jeka57 [31]

Answer:

$\\ \gamma= \frac{a\cdot b}{b\cdot b}$

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if $b \neq 0$ . Recall that given two vectors a,b a⊥ b if and only if $a\cdot b =0$ where $\cdot$ is the dot product defined in $\mathbb{R}^n$ . Suposse that $b\neq 0$ . We want to find γ such that $(a-\gamma b)\cdot b=0$ . Given that the dot product can be distributed and that it is linear, the following equation is obtained

$(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b$

Recall that $a\cdot b, b\cdot b$ are both real numbers, so by solving the value of γ, we get that

$\gamma= \frac{a\cdot b}{b\cdot b}$

By construction, this γ is unique if $b\neq 0$ , since if there was a $\gamma_2$ such that $(a-\gamma_2b)\cdot b = 0$ , then

$\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma$

6 0

3 years ago

What is 5.96 as a fraction

tatuchka [14]

Its 149/25 or 149/5^2

5 0

3 years ago

Read 2 more answers

£750 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three ti

Sladkaya [172]

Answer: £225

Step-by-step explanation:

Let Sarah's amount be represented by x.

Since Caroline gets three times as much as Sarah, Caroline will get: 3x

Bridget gets twice as much as Caroline, therefore Bridget will get: 2 × 3x = 6x

Sarah = x

Caroline = 3x

Bridget = 6x

Total = x + 3x + 6x = 10x

Caroline's faction is 3/10. We then multiply the fraction by £750. This will be:

= 3/10 × £750

= 0.3 × £750

= £225

Caroline will get £225

4 0

4 years ago

(-7)(-5) what’s the answer please help

Lina20 [59]

Hello!

Let’s do it step-by-step, shall we? Don’t worry! These problems can be a bit tricky but you’ll get it in no time! It’s really simple.

So, we have (-7)(-5)

This means that the problem will be multiplied because of the parentheses. They substitute the multiplication sign.

So, we have -7 (multiplied by) -5= 35

So your answer would be 35. Hope this helps :) and good luck!

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3 years ago

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Sarah bought a television that cost $805.She plans to make equal payments of $38 each month until the television is paid in full

yawa3891 [41]

Answer:

Step-by-step explanation:

805/38= 21 7/38

So that is 21 full payments of $38.00 and one of $7.00

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3 years ago