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3 years ago

13

What’s the unit rate of 60 miles on 2.5 gallons

2 answers:

PilotLPTM [1.2K]3 years ago

8 0

Step-by-step explanation:

To find the unit rate you must have a format of 60 miles over 2.5 gallons, which tells you to divide both numbers.

60 miles

2.5 gallons

So, 60 / 2.5 = 24.

We should always put labels for our answers, you would only have 1/2 of the part correct.

So your final answer is 24 miles per gallon.

(Per = 1)

Inessa05 [86]3 years ago

7 0

Answer:

24 miles/gallon

Step-by-step explanation:

You divide 60 by 2.5 to get how many miles per gallon.

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Which quadratic equation defines the function that has zeros at − 1/12 and 1/4 ?

Cerrena [4.2K]

$\bf \begin{cases}
x=-\frac{1}{2}\implies &x+\frac{1}{2}=0\\\\
x=\frac{1}{4}\implies &x-\frac{1}{4}=0
\end{cases}
\\\\\\
\left( x+\frac{1}{2} \right)\left( x-\frac{1}{4} \right)=\stackrel{y}{0}\implies \stackrel{FOIL}{x^2+\frac{1}{4}x-\frac{1}{8}}=y$

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3 years ago

1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago

a theater group made appearances in two cities. the hotel charge before tax in the second city was $1000 lower than the first. T

expeople1 [14]

I think it is 500 or 300 I really just guessed sorry

4 0

3 years ago

Find the product of f(x)=3 and g(x)=x+7

DaniilM [7]

F(x)=3 domain: negative infinity, positive infinity range: 3

g(x)=x+7 domain: - infinity, + infinity range: - infinity, + infinity

8 0

2 years ago

Danielle estimates that she will spend $250 on new summer clothes. She actually spent $350. What is the percent error? Round to

lesya [120]

Answer:

%28.57 (14285714286)

Step-by-step explanation:

Divid To get decimal (percent right)

250/350= 0.714285714285714

Subtract from 1 to get decimal (Percent wrong)

1.0 - 0.714285714285714= 0.285714285714286

Move over decimal to placements to the right to convert to percent

%28.5714285714286

Round

%28.57

8 0

3 years ago