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aalyn [17]
3 years ago
7

Solve the equation x+0.7=1-0.2x In two different ways

Mathematics
1 answer:
timama [110]3 years ago
3 0
Add 0.2x to both sides
1.2x+0.7= 1
1.2x=.3
x=.3/1.2
x=.25


option #2
subtract .7 on both sides

x=1-.7-.2x
x=.3-.2x
1.2x=.3
x=.25
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If f(x) = 3^(x + 4), find f(2).<br><br> A. 729<br> B. 243<br> C. 81<br> D. 18
Umnica [9.8K]

Answer:

f(2) = 729

Step-by-step explanation:

f(x) = 3^(x + 4)

Let x =2

f(2) = 3^(2 + 4)

f(2) = 3^(6)

f(2) = 729

4 0
3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
liq [111]
If the number of downloads of the standard version is x, and the high quality is x, 2.1*x+4.1*y=2761 (not 1010 due to that this is multiplied by 2.1 and 4.1, therefore representing the total amount of megabytes) In addition, there are 1010 total downloads, and it's either 2.1 MB or 4.1 MB, so x+y=1010.

We have 
2.1x+4.1y=2761
x+y=1010

Multiplying the second equation by -2.1 and adding it to the first equation, we get 2y=2761-1010*2.1=640 and by dividing both sides by 2 we get y=320 downloads of the high quality version


5 0
3 years ago
write and solve a real- world problem involving the multiplication of a fraction and a whole number whose product is between 10
Tomtit [17]

Answer:

Real word Problem:- Jean is working in a pizza shop. She has 60 kg of flour. She has used one-fifth of it for making pizzas. How much flour she used for making pizzas?

Solution:- Quantity of flour she has= 60 kg

The quantity she used in making pizzas=\frac{1}{5}\ of\ 60

=\frac{1}{5}\times60=12\ kg

hence, she used 12 kg of flour for making pizzas.

Here the multiplication of a fraction and a whole number =\frac{1}{5}\times60 and its answer is between 10 and 15, since 10<12<15.

4 0
3 years ago
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The dimensions of this rectangle of half by seven show how you can divide the rectangle below to calculate the area
mariarad [96]
Is that the whole thing?
8 0
3 years ago
Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
Pani-rosa [81]

Answer:

B

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the <u>(</u><u>6</u><u>,</u><u>5</u><u>)</u><u> </u>points

in order to do so

recall that,

\displaystyle m_{ \text{perpendicular}} =   - \frac{1}{m}

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

\displaystyle m_{ \text{perpendicular}} =   - \frac{1}{2}

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

\displaystyle y -  y_{1} = m(x -  x_{1})

since we got our perpendicular m is -½, x_1=6 and y_1=5, substitute

\displaystyle y -  5 =   - \frac{1}{2} (x -  6)

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

\displaystyle y -  5 =   - \frac{1}{2} x  + 3

add 5 to both sides:

\displaystyle y  =   - \frac{1}{2} x  + 8

hence,

our answer choice is B

3 0
3 years ago
Read 2 more answers
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