All categories

3 years ago

Can someone please help me find the answer to #19? I attached a photo of the problem

Mathematics

1 answer:

brilliants [131]3 years ago

4 0

Answer:

21 packages

Step-by-step explanation:

4 ÷3/16= 4 x 16= 64/3=21 1/3 . 21 packages

hope this helps :)

You might be interested in

What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

olchik [2.2K]

Option A: $\frac{1}{3}$ is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

$\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}$

Also,

$\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}$

Dividing A'C' by AC, we have,

$\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}$

Thus, $\frac{1}{3}$ is the dilation factor

3 0

3 years ago

Read 2 more answers

If pi is infinite, how does it work? How do we keep finding new numbers?? What is pi?

postnew [5]

Answer:

3.141592653589793238

Step-by-step explanation:

Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. If you divide the circumference of the circle by the diameter, you will get approximately 3.14—no matter what size circle you drew! A larger circle will have a larger circumference and a larger radius, but the ratio will always be the same. If you could measure and divide perfectly, you would get 3.141592653589793238..., or pi.

3 0

2 years ago

Deon rented a truck for one day there was a base fee of $19.99 and there was an additional charge of 98 cents for each mile driv

scZoUnD [109]

Answer:

Deon drove the truck 201 miles.

Step-by-step explanation:

Base Fee + (.98* Number of miles)= Cost

19.99 + .98x = 216.97

Subtract 19.99 from both sides.

.98x = 196.98

Divide both sides by .98

x = 201

5 0

3 years ago

Nathaniel participated in an 18-mile race. He ran 1 2 mile in 1 6 hour. If he ran the entire race at the same pace, how long, in

Softa [21]

Answer:

24 hours

Step-by-step explanation:

set up a ratio:

12 miles = 16 hours

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

18 miles = x hours

cross multiply

12m * x = 16h * 18 m

solve for x

x=16h * 18m / 12m = 24 hours

3 0

3 years ago

Point r is at 2,1.2 and point t is at 2,2.5 on a coordinate grid. The distance between the two points is. .

Diano4ka-milaya [45]

Answer:

1.3

Step-by-step explanation:

The two points lie on the same vertical line (x=2), so the distance between them is the difference of their y-coordinates:

2.5 - 1.2 = 1.3 . . . distance between the points

5 0

2 years ago