All categories

2 years ago

Caleb made a scale drawing of a theater. He used the scale 7 inches = 10 feet. What is the scale factor of the drawing?

Mathematics

1 answer:

Serggg [28]2 years ago

4 0

Answer:

10 feet = 120 inches

120 / 7 = 17.1428571429

So, the scale is 17.1428571429 to 1.

Step-by-step explanation:

You might be interested in

What do I do with the x squared

Alexxandr [17]

first, find the square root of 45. and make x normal. a square root cancels out a square. It should be 6.7x

4 0

2 years ago

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

1 year ago

In which data set is the mean equal to the median?

sdas [7]

Answer:

The number in the middle

5 0

2 years ago

2 miles away one block takes 50 seconds each block is 300 ft what is the rate in ft per second

Korolek [52]

You would have to Multiply 50 by 2 and then Multiply the answer to 300.

8 0

2 years ago

T= {(8,4),(-5,-1),(8,-6)}

kow [346]

Ok what am I supposed to answer?

3 0

2 years ago