If AD equals 3X +3 CD equals X +9, what is the value of X?

Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the compan

Sav [38]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Width of the sign made by Darius initially = 2 feet

Length of the sign = 2 feet 6 inches

Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.

In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.

Since, 1 feet = 12 inches

Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches

Width of the sign = 2 feet = 2(12) inches = 24 inches

Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.

So, the scale factor would be:

Length of Flyer : Length of Sign

= 10 inches : 30 inches

= 1 : 3

= $\frac{1}{3}$

This shows, the length of flyer is $\frac{1}{3}$ times as that of the sign. So, the scale factor that Darius must use is $\frac{1}{3}$ . The length and width of the flyer are $\frac{1}{3}$ as that of the sign.

The same scale factor would result if we would have used the ratio of widths instead of the lengths.

Scale Factor = Width of Flyer : Width of sign

= 8 : 24

= 1 : 3

Therefore, Darius must type the scale factor of $\frac{1}{3}$ in his computer to get the size of the flyer.

7 0

3 years ago

So yeah if someone can help me with

Law Incorporation [45]

Answer:

y = x - 5

Step-by-step explanation:

The equation of the line parallel to the line $ax + by + c_1 = 0$ is $ax + by + c_2 = 0$ .

That is, equations of parallel lines differ only by constant.

The given equation is $y = x + 4$

This is written as $x - y + 4 = 0$

Therefore, the equation of the line parallel to this line is given by $x - y + c = 0$

The value of c is determined using the point given.

Substituting the point (3,-2) we get:

$3 + 2 + c = 0$

$\implies c = -5$

Therefore, the equation of the line becomes y = x - 5.

6 0

3 years ago

A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The cost per photo varies inv

Alecsey [184]

The complete question in the attached figure

we have that
for c=5 and n=20------------> n*c=20*5=100
for c=2.5 and n=40------------> n*c=40*2.5=100
for c=2 and n=50------------> n*c=50*2=100
for c=1.25 and n=80------------> n*c=80*1.25=100

therefore
<span>the function that models the data is n*c=100
</span>
the answer is nc=100

6 0

3 years ago

Which equation matches the graph of the greatest integer function given below?

lubasha [3.4K]

The answer isssssssssssssssss ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss c

4 0

3 years ago

Read 2 more answers

Graham drove 42 1/3 miles in 1 1/3 hours. A. How many miles did he drive in one hour?

Nonamiya [84]

change to improper fractions

42 1/3

(3* 42 +1) /3 = 127/3

1 1/3 = (3*1 +1) /3 = 4/3

127/3 divided by 4/3

copy dot flip

127/3 * 3/4

127/4

31 3/4 miles per hour

He drove 31 3/4 miles in one hour

31 3/4 miles 1 mile

------------ = ------------

1 hours x hour

using cross products

31 3/4 * x =1*1

x = 1/ 127/4 (copy dot flip)

x = 1 * 4/127

x = 4/127

it takes 4/127 of 1 hour (approx .03 hours)

6 0

4 years ago