Ask question

Ask question

All categories

3 years ago

7

For his job at the hardware store, Michael distributes 2,345 packages of screws into 5 equal groups for shipping. How many packa

ges of screws are in each shipping box? A. 479 B. 469 C. 369 D. 368

1 answer:

drek231 [11]3 years ago

6 0

$\\
\text{Michael distrinutes 2345 packages of screws into 5 equal groups for shipping.}\\
\\
\text{we need to find the number of packages of screws in each group.}\\
\\
\text{so for this we use the unitary method.}\\
\\
\text{The number of packages of screws in 5 groups}=2345\\
\\
\text{so the number of packages of screws in 1 group}=\frac{2345}{5}\\
\\
=469$

Hence the number of packages of screws in each shipping box is: 469

Hence option (B) is correct.

You might be interested in

Given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle

Anastasy [175]

Answer:

Part 1) False

Part 2) False

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

where

(h,k) is the center and r is the radius

In this problem the distance between the center and a point on the circle is equal to the radius

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Part 1) given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle.

true or false

substitute the center of the circle in the equation in standard form

$(x+3)^{2} +(y-4)^{2}=r^{2}$

Find the distance (radius) between the center (-3,4) and (-6,2)

substitute in the formula of distance

$r=\sqrt{(2-4)^{2}+(-6+3)^{2}}$

$r=\sqrt{(-2)^{2}+(-3)^{2}}$

$r=\sqrt{13}\ units$

The equation of the circle is equal to

$(x+3)^{2} +(y-4)^{2}=(\sqrt{13}){2}$

$(x+3)^{2} +(y-4)^{2}=13$

Verify if the point (10,4) is on the circle

we know that

If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle

For x=10,y=4

substitute

$(10+3)^{2} +(4-4)^{2}=13$

$(13)^{2} +(0)^{2}=13$

$169=13$ -----> is not true

therefore

The point is not on the circle

The statement is false

Part 2) given the center of the circle (1,3) and a point on the circle (2,6), (11,5) is on the circle.

true or false

substitute the center of the circle in the equation in standard form

$(x-1)^{2} +(y-3)^{2}=r^{2}$

Find the distance (radius) between the center (1,3) and (2,6)

substitute in the formula of distance

$r=\sqrt{(6-3)^{2}+(2-1)^{2}}$

$r=\sqrt{(3)^{2}+(1)^{2}}$

$r=\sqrt{10}\ units$

The equation of the circle is equal to

$(x-1)^{2} +(y-3)^{2}=(\sqrt{10}){2}$

$(x-1)^{2} +(y-3)^{2}=10$

Verify if the point (11,5) is on the circle

we know that

If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle

For x=11,y=5

substitute

$(11-1)^{2} +(5-3)^{2}=10$

$(10)^{2} +(2)^{2}=10$

$104=10$ -----> is not true

therefore

The point is not on the circle

The statement is false

7 0

3 years ago

Help me please I donr understand this

Serggg [28]

For the function w,w(9)

8 0

2 years ago

Read 2 more answers

If there are 16 ounces in a pound and a baby weighs 10 pounds, how many ounces does the baby weigh?

emmasim [6.3K]

16 times 10 is 160 so 160 ounces

5 0

2 years ago

Read 2 more answers

Mr adkins has 2 packages, each with 6 batteries. He uses 4 of the batteries in a flashlight . How many batteries does he have le

Readme [11.4K]

Answer:

8

Step-by-step explanation:

2 x 6 = 12

12 - 4 = 8

So, our answer is 8.

8 0

2 years ago

Read 2 more answers

What is the value of l n e Superscript 4<br> 0<br> 1<br> 2<br> 4

posledela

Answer:

4

Step-by-step explanation:

ln e ^4

Natural log and e are opposites so they cancel and leave

4

6 0

3 years ago

Read 2 more answers