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3 years ago

Lin's family has completed 60% of a trip. They have traveled 30 miles. How long is the whole trip?

Mathematics

2 answers:

Kaylis [27]3 years ago

7 0

Answer:

12 miles left

Step-by-step explanation:

taking 60 away from 100 is 40 and 40% of 30 is 12

tatiyna3 years ago

3 0

This one’s easy if you know how to do the fractions of 5.

The whole trip is 50 miles because 60% of 50 is 30 miles.

3/5 = 0.6

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Walter buys a bus pass for $30. Every time he rides the bus, money is deducted from the value of the pass . He rode 12 times and

Eddi Din [679]

<span>1. 24÷12 =$2 $2 is the answer :)</span>

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3 years ago

Help please logarithms

DochEvi [55]

Answer:

Simplified: 40

Step-by-step explanation:

To simplify this, we need to first separate the terms in this expression. There is a property of exponents that says: $x^{a+b} =x^ax^b$ We can do this same thing to simplify this expression. Next, we can simplify each of these terms. $2^2$ simply becomes 4. In the other term, the $2^{log_2}$ simply cancel each other and leave the 10. This means that we're left with 4*10, which is 40

$2^{2+log_210} \\\\2^2*2^{log_210} \\\\4*10\\\\40$

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3 years ago

Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

4 0

2 years ago

A car is traveling at a rate of 55 miles per hour . Let x=time in hours and y=number of miles . What is the equation that models

Orlov [11]

Givens

The equation is miles = rate of travel * hours.

Let the rate of travel = k

Let the miles = y

Let the number of hours = x

Equation

y = k*x Is the answer that you seek <<<<<Answer

5 0

3 years ago

I need c and d answered badly

Kisachek [45]

C. translated down 2 units

---The "-2" located on the outside of f(x) tells us that the y-values are being changed. With that, the graph can be moved up or down. The presence of the negative/subtraction sign tells us that the graph is moved down.

D. translated right 4 units

---The "-4" located with the x in f(x) tells us that the x-values are being changed. The only tricky thing about this is that the direction of the movement is actually the opposite of the sign. So with the negative/subtraction sign, the graph is moved to the right instead of the left.

Hope this helps!

3 0

2 years ago