A c ompany purchased 3,128 bottles of water.Each departments needs 55 bottles.Which compatible numbers provide a better estimate for the number of departments that can get the bottles needed 3,000 divided 60 or 3,000 divided 50? Explain.Then make the estimate.

Answers

Answer 1

Answer:

3,000 divided 60 are the compatible numbers, and the estimate is 50.

Step-by-step explanation:

Compatible numbers can be described as numbers which are close in value to the actual numbers and can easily be added, subtracted, multiplied, or divided mentally.

From the question, 3,000 divided 60 are the compatible numbers that provide a better estimate for the number of departments that can get the bottles because 55 can be rounded up to 60.

The estimate will therefore be as follows:

Estimate = 3,000 / 60 = 50


Related Questions

Name the plane represented by the right side of the box?

Answers

Answer:

I believe it is BCG

Step-by-step explanation:

BCG I think ........

What is the Answer please help fast

Answers

Answer:

it increases

Step-by-step explanation:

hope this helps <3

Answer:

The answer is it increases

Step-by-step explanation:

The length of a park is 12 kilometers. What is the length of the park in meters?

Answers

Answer:

12,000

Step-by-step explanation:

There are 1,000 meters in a kilometer. So, if you have 12 kilometers, that's 12,000 meters.

Answer:

12000

Step-by-step explanation:

One kilometer = 100 meters 12 times 1000 = 1200

Write the equation of the line that passes through (4,-3) & (3,0)
m =
b =
y =

Answers

Answer:

m = -3

b = 9

y = -3x + 9

Step-by-step explanation:

Let us solve the question

∵ The line passes through points (4, -3) and (3, 0)

∵ The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

∵ (x1, y1) and (x2, y2) are 2 points on the line

x1 = 4 and y1 = -3

x2 = 3 and y2 = 0

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{0--3}{3-4}[/tex] = [tex]\frac{0+3}{-1}[/tex] = -3

m = -3

∵ The form of the equation of the line is y = m x + b

→ Substitute the value of m in the form of the equation.

y = -3x + b

→ To find b substitute x and y by the coordinates of the point (3, 0) or (4, -3)

x = 3 and y = 0

∴ 0 = -3(3) + b

∴ 0 = -9 + b

→ Add 9 to both sides

∴ 9 = b

b = 9

→ Substitute the value of b in the equation

y = -3x + 9

The equation of the line is y = 3x + 9

jessie served 13 pints of orange juice at her party
how many quarts of orange juice did she serve

Answers

Answer:

6 1/2

Step-by-step explanation:

Answer:

6.5 quarts.

Step-by-step explanation:

This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5

I need help i'm a 6th grader! I provided a screenshot. The math is inequalities!
If you know how to explain it please do! You don't have to though

Answers

Answer:

A or B

Step-by-step explanation:

[tex]3.5+m<4.6[/tex]

that's what it means

so if we solve it

[tex]3.5+m-3.5<4.6-3.5\\\\m+0<1.1\\\\m<1.1[/tex]

and now we check

[tex]3.5+(1)<4.6(\:something\:less\:than\:1.1)\\\\4.5<4.6[/tex]

which satisfy

now choose an option

it's either A or B

m<1.1 is the answer if you have to highlight the thing that m is less than then B is your answer

if you have to highlight an option that works then it's A

1. Find the slope of the line passing through the points (3,5) and (3, -6).
slope:

2. Find the slope of the line passing through the points (-6, 2) and (8,2).
slope:
please help

Answers

                                               Question 1)

Given the points

(3, 5)(3, -6)

Finding the slope between (3, 5) and (3, -6)

(x₁, y₁) = (3, 5)(x₂, y₂) = (3, -6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [-6 - 5] / [3 - 3]

               = -11 / 0

               = undefined or ∞

Thus, the slope of the line = m = undefined.

Note: The undefined slope means the line is vertical.

                                            Question 2)

Given the points

(-6, 2)(8, 2)

Finding the slope between (-6, 2) and (8, 2)

(x₁, y₁) = (-6, 2)(x₂, y₂) = (8, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 2] / [8 - (-6)]

               = 0 / 14

               = 0

Thus, the slope of the line = m = 0.

Note: The zero slope means the line is horizontal.

Which set of ordered pairs does NOT represent a function?
a. ((-3,9), (-2,4), (-1, 1), (0,0), (1.1), (2. 4). (3.9))
b. (1,3), (2, 6), (3,9), (4, 12). (5. 15))
c. (t.1), (4,2). (9. 3). (16,4). (25, 5))
d. 19.-3), (4, -2), (1, -1), (0.0), (1, 1), (4,2). (9. 3)

Answers

the answer is D because in the x coordinate, “1” is repeated

HeLP with this question please put the answer on a point

Answers

Answer:

[tex]x = -1[/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Given

The attached table

Required

Fill in the blanks

First, we need to calculate the slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Where:

[tex](x_1,y_1) = (1/2,1)[/tex]

[tex](x_2,y_2) = (3,-9)[/tex]

So, we have:

[tex]m = \frac{-9-1}{3-1/2}[/tex]

[tex]m = \frac{-10}{3-0.5}[/tex]

[tex]m = \frac{-10}{2.5}[/tex]

[tex]m = -4[/tex]

Next, we calculate the equation:

[tex]y - y_2 = m(x - x_2)[/tex]

This gives:

[tex]y - (-9) = -4(x - 3)[/tex]

[tex]y +9 = -4(x - 3)[/tex]

[tex]y +9 = -4x +12[/tex]

Make y the subject:

[tex]y = -4x +12-9[/tex]

[tex]y = -4x +3[/tex]

So,

When y = 7:

We have:

[tex]y = -4x +3[/tex]

[tex]7 = -4x +3[/tex]

Collect Like Terms

[tex]4x = 3 - 7[/tex]

[tex]4x = -4[/tex]

Divide through by 4

[tex]x = -1[/tex]

When x = 0, we have:

[tex]y = -4x +3[/tex]

[tex]y = -4 * 0 + 3[/tex]

[tex]y = 0 + 3[/tex]

[tex]y = 3[/tex]

what is the constant of variation in this relation?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here k is the constant of variation.

From the table,

substitute x = -3, y = -4 in the equation

k = y/x

k = -4/-3

k = 4/3

substituting x = -2, y = -1

k = y/x

k = -1/-2 = 1/2

substituting x = -1, y = 2

k = y/x

k = 2/-1 = -2

substituting x = 0, y = 5

k = y/x

k = 5/0 = ∞

substituting x = 1, y = 8

k = y/x

k = 8/1

k = 8

substituting x = 2, y = 11

k = y/x

k = 11/2

substituting x = 3, y = 14

k = y/x

k = 14/3

It is clearly visible that there is no constant of variation because the ratio y = k/x is variating for different ordered pairs.

Thus, It is clear that none of the answers in the answer choices represent the constant of variation in this relation.

please help with new subject

Answers

Answer:

answer is also 60.

Step-by-step explanation:

Since angle 2 is also 60 degrees, angle 6 will also be 60 degrees.

Answer:

angle 5 =60° (corresponding angles)

angle 5 = angle 6 =60° (vertically opposite angles)

60° is the right answer.

Expand the Expression using the Distributive Property, and then simplify. -1/2(4-2+8x)

Answers

If you are simplify the answer is -1-4x

It takes 2 minutes to print 3 photos. AT this rate, how many minutes will it take to print 10 photos?

Answers

It would take 15 minutes to print 10 photos

The table below shows the number of strawberries and cups of water
used to make fruit punch according to a certain recipe.
Strawberries Water (cups)
384
30
320
25
How many cups of water are needed for every 1 strawberry? Note:
Your answer may be exact or rounded to the nearest hundredth.

Answers

Answer:

5/64 of a cup.

Step-by-step explanation:

Is there two columns of data and two data points? Like this:

Strawberries          Water

384                         30

320                         25

If so, then there are two ways to do it.

1) You can set up a ratio like this

384/30 = 1/x

Where x is the number of cups of water for 1 strawberry.

So,

x = 30/384 of a cup

x = 5/64 of a cup.

2) Look at the increase from one to the other.

64 strawberries requires 5 cups of water

Divide by 5 by 64 to get the water for one strawberry

5/64 of a cup.

X increased by 61% PLEASE YALL

Answers

The answer would be
x + 6.01

Hope this helps

Have a great day/night

I think it's

1.61x

plsbrainliest if it helped!

please help! it’s due today haha it’s pythagoras

Answers

Answer:

x = 6.22 cm

Step-by-step explanation:

The lines on the sides of the triangle means they are the same length

Since it is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

Substituting what we know

a^2 + a^2 = x^2

a=4.4

(4.4)^2 + (4.4) ^2= x^2

19.36 + 19.36 = x^2

38.72 = x^2

Taking the square root of each side

6.222539674 = x

Rounding to 3 significant figures

x = 6.22 cm

help! Very urgent
Fimd the area and the perimeter of this shape
Pls help ​

Answers

Answer:

You can't find the area or perimeter with the information given. If this is a calculus level problem then it is possible.

The two equilateral triangles below are similar figures. What is the scale factor from the small triangle on the left to the large
triangle on the right? The triangles are not drawn to scale.

Answers

Answer:

12 : 58.8   which simplies to 1 : 4.9

Step-by-step explanation:

2(2t +7) = 4t+14
solve for t

Answers

Answer:

( - ∞, ∞)

Step-by-step explanation:

Any value of t makes the interval notation ^^^

Wal-mart is advertising a back to school sale on markers. A pack of 12 sells for $6.97 whereas a 4 pack of the same brand cost for $2.77. Which is the better Buy? How do you know?

Answers

Answer:

12 for 6.97 is better

Step-by-step explanation:

for 12 pack

$6.97/12 markers = .58 per marker

for 4 pack

$2.77/4 markers = .69 per marker

thus 12 pack is better, a lower cost per marker

Answer:

12 for $6.97

Step-by-step explanation:

If u get 12 pack for $6.97 its .58 for each marker

If u get 4 pack for $2.77 its .69

And I would prefer to get a 12 pack cuz its cheaper and more markers.

I hope this helped:)

The ages of 10 friends are consecutive integers. The sum of their ages is 710. they get together every Tuesday to play cards and enjoy each other's company calculate their ages

Answers

Answer:

x = 66.5

x + 1 = 67.5

x + 2 = 68.5

x + 3 = 69.5

x + 4 = 70.5

x + 5 = 71.5

x + 6 = 72. 5

x + 7 = 73.5

x + 8 = 74.5

x + 9 = 84.5

Step-by-step explanation:

Given that :

Age of 10 friends are consecutive integers :

Let the ages be :

x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, x+9

The sum of their ages = 710

Hence,

x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 + x+7 + x+8 + x+9 = 710

10x + 45 = 710

10x = 710 - 45

10x = 665

x = 665 / 10

x = 66.5

x + 1 = 67.5

x + 2 = 68.5

x + 3 = 69.5

x + 4 = 70.5

x + 5 = 71.5

x + 6 = 72. 5

x + 7 = 73.5

x + 8 = 74.5

x + 9 = 84.5

Solve for y.

7y - 14 = 35

Answers

Answer:

it's 7

Step-by-step explanation:

this needs to be 20 characters long

Answer:

switch the -14 to positive and the add 35+14 and then divide the number you get by 7

Step-by-step explanation:

y=7

Cheryl decorated a border of a birthday card with flowers. The flowers were 1/200 m apart. The length of the border was 1/5 m. There was a flower at each end of the border. How many flowers did she draw?

Answers

Answer:

She draw 40 flowers

Step-by-step explanation:

Given

[tex]Length = \frac{1}{5}m[/tex]

[tex]Flower = \frac{1}{200}m[/tex]

Required

Determine the number of flowers

To do this, we simply divide the length of the border by the length of the flower.

[tex]Number = \frac{1}{5}/ \frac{1}{200}[/tex]

Convert to multiplication

[tex]Number = \frac{1}{5}* \frac{200}{1}[/tex]

[tex]Number = \frac{200}{5}[/tex]

[tex]Number = 40[/tex]

Hence, she draw 40 flowers

which expression results from using the distributive property: 7(x+3)

Answers

Answer: a the first answer is right

If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =

Answers

Answer:

a+b = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

3(a + b)^2 = 81

(a + b)^2 = 27

a + b = sq rt 27

a + b = [tex]\sqrt{9}[/tex]· [tex]\sqrt{3}[/tex]

a + b = 3[tex]\sqrt{3}[/tex]

How many cubic blocks of side length 1/6 inch qould it take to fill a rectangular prism with a length, width and height of 1/3 inch, 2/3 inch, 2/3, respectively

Answers

Answer:

32 cubes

Step-by-step explanation:

I would first determine the volume in inches of the rectangular prism.

V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.

Then I would calculate the volume of the cube with 1/6 inch sides

V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.

Then I would divide the V of the large prism by the V of the small cube

(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes

Please help!!:
Write the equation of a line that is perpendicular to y= -1/3 x+6 and passes through the point (3,5).

Answers

Answer:

I think

y=1/3x-10/3

Step-by-step explanation:

Perpendicular Lines mean they have the negative reciprocal slope. This line has slope m = -1/3 so the perpendicular line has slope m = + 1/3

Our point is (3, 5)

Now use point slope form to find the equation: (y - y1) = m(x - x1)

(y - 5) = m(x - 3)

(y - 5) = 1/3(x - 3)

y -5=1/3x-10/3

jackie is solving this system of linear questions: 3x+2y= 20

4x-y=30

which equations could be part of the process of solving this system?

4x+6y=20

12x+8y=80

8x-y=60

8x-2y=60

Answers

Answer: 12x+8y=80

8x-2y=60

Step-by-step explanation:

The equations that could be part of the process of solving this system are 12x+8y=80 and 8x-2y=60.

The original equation was 3x+2y= 20 and 4x-y=30. Multiplying all through by 4 gives 12x+8y=80 and 8x-2y=60.

what is the measure of angle b?

A. 36⁰

B. 117⁰

C.63⁰

D. 56⁰

Answers

Answer:

A

Step-by-step explanation:

180⁰= a+b+81⁰

a=180⁰-117⁰=63⁰

b=180⁰-63⁰-81⁰=36⁰

worth 10 points !! need help asap !graph: y < 2/3x + 1

Answers

use desmos if you want to graph something
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