Jacoby is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 5 bucket of nuts fills 2 over 3 of the barrel.

Write and solve an equation to find the number of buckets that will fill the entire barrel. Be sure to define your variable and show your work. Explain your answer in words. (10 points)

1: y=x-1

2: y=-x+9

I need to write at least 20 characters so here’s a sentence you just read

Answer:

y would be 6

Step-by-step explanation:

Because 5 x 3 would be 15

then you would do 2 x 3 would be 6

Answer:

y=2/3

Step-by-step explanation:

first make the equation to interpret the question

x=k/y

find the value of k, which is a constant

when x=5 and y=2

5=k/2

k=10.

hence, find y when x=15

x=k/y

x=10/y

15=10/y

cross multiply

15y=10

divide both sides by 15

y=10/15

y=2/3

[tex]x = 15 \sqrt{2} [/tex]

[tex]y = 15 \sqrt{2} [/tex]

Answer:

x = y = 15[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] ( multiply both sides by 30 )

30 × sin45° = x , then

x = 30 × [tex]\frac{\sqrt{2} }{2}[/tex] = 15[tex]\sqrt{2}[/tex]

The triangle is a right isosceles triangle thus the legs are congruent, then

x = y = 15[tex]\sqrt{2}[/tex]

Answer:

f(-12) = -174

Step-by-step explanation:

f(x) = 14x − 6

f(-12) = 14(-12) - 6

f(-12) = -168 - 6

f(-12) = -174

hope this helps, pls mark brainliest :D

Answer:

The dilation factor of the width is 3/4

The dilation factor of the length is 10/13

The standard court and the modified court are not similar

Step-by-step explanation:

The given dimension of a tennis courts are given as follows;

The width of the standard tennis court = 36 ft.

The length of the standard tennis court = 78 ft.

The height of the  net of the standard tennis court = 3 ft.

The width of the modified tennis court = 27 ft.

The length of the modified tennis court = 60 ft.

The height of the  net of the standard tennis court = 3 ft.

The dilation factor of the width = (Modified court width)/(Standard court width)

∴ The dilation factor of the width = (27 ft.)/(36 ft.) = 3/4

Therefore, the width of the modified court = 3/4 × The width of the standard court

∴ The dilation factor of the length = (60 ft.)/(78 ft.) = 10/13

Therefore, the length of the modified court = 10/13 × The length of the standard court

The dilation factor for the width is different from the dilation factor for the length and the net of both courts are of equal dimension, therefore, based on similarity theorem, both courts are not similar.

Answer:

LCM= 154

Step-by-step explanation:

Answer:43

Step-by-step explanation:

-6+12 equals 6 and 40-3 equals 37

37 plus 6 equals 43

Answer:

43

Step-by-step explanation:

Answer:

1. [tex]-6 + (-3)[/tex]

2. [tex]6 + 3[/tex]

3. [tex]-6 + 3[/tex]

4. [tex]6 + (-3)[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the additive inverse of each

The rule of additive inverse is as follows;

Using the above, the solution is as follows:

[tex]1.\ 6 - (-3)[/tex]

Rule: 6 becomes -6 and - (-3) becomes +(-3)

So, the additive inverse is [tex]-6 + (-3)[/tex]

[tex]2.\ -6 -3[/tex]

Rule: -6 becomes 6 and -3 becomes 3

So, the additive inverse is [tex]6 + 3[/tex]

[tex]3.\ 6 - 3[/tex]

Rule: 6 becomes -6 and -3 becomes 3

So, the additive inverse is [tex]-6 + 3[/tex]

[tex]4.\ -6 - (-3)[/tex]

Rule: -6 becomes 6 and -(-3) becomes +(-3)

So, the additive inverse is [tex]6 + (-3)[/tex]

Answer:its 200

Step-by-step explanation:

Answer:

Its 200, that's a funny question though!

Step-by-step explanation:

Have a good day!

the answer is

1,23,34,000

Answer:

12,334,000

Step-by-step explanation:

Answer:

(x−7,y+5)

A p e x n dat

Answer:

it is A

Step-by-step explanation:

No matter how much you flip the equation around, the end result will be the same. I chose A because it shows exactly what I described 4+5 is the same as 5+4

Answer:

x<3

Step-by-step explanation:

4x -1 < 11

Add 1 to each side

4x -1+1 < 11+1

4x<12

Divide each side by 4

4x/4 <12/4

x<3

Answer:

The correct option is;

A. 453

Step-by-step explanation:

The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779

Similarly the factors of 926 are 1, 2, 463, 926

Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;

For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;

Top number divided by 2 gives 14/2          [tex]{}[/tex]      = 7

Bottom left number divided by 3 gives 21/3   [tex]{}[/tex] = 7

Bottom right number divided by 4 gives 36/4 = 9

From which we have the number at the center which is 779

Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;

Top number divided by 2 gives 18/2          [tex]{}[/tex]      = 9

Bottom left number divided by 3 gives 6/3   [tex]{}[/tex]  = 2

Bottom right number divided by 4 gives 24/4 = 6

From which we have the number at the center which is 962

Therefore, when we have, the numbers at the vertices as follows;

At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;

Top number divided by 2 gives 8/2          [tex]{}[/tex]      = 4

Bottom left number divided by 3 gives 15/3   [tex]{}[/tex] = 5

Bottom right number divided by 4 gives 12/4 = 3

From which we have the number at the center is 453.

Step-by-step explanation:

Rs8,100 / (Rs45 per square meter)

= 180 square meters.

The area of the 4 walls of the room is 180 sq.m.

Answer:

1 (5), 4(23), 5(29), 9(53).

Step-by-step explanation:

Well, I just plugged in the terms that looked like the inputs instead of x.

Answer:

3 sides     180 degrees total

4 sides      180(4-2)

5 sides       180(5-2)

Step-by-step explanation:

n sides angle sum is 180(n-2)

21 sides angle sum is 180(21-2) = 180*19 = 3420

each angle in a regular 21-gon will be           3420/21 = 162.8571429 degrees  (apprrox)

external angle = 360 - 162.8571429 =  197.1428571degrees = 197 degrees 8 minutes and 34.29 seconds approximately

Answer:

it is D i just bib the test and got it right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 whole numeric units between -5 and -9.

Answer:

pretty sure it would be 42 degrees. angle 3 and 7 would have the same value as well

Step-by-step explanation:

Answer:

42 degrees

Step-by-step explanation:

<4 is congruent to where it already says 42 degrees

Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: In the diagram above, ∠ a and ∠ d makes a pair of alternate exterior angles and ∠ b and ∠c makes another pair of alternate exterior angles.

Answer:

180

Step-by-step explanation:

The 12 th square number is

12² = 12 × 12 = 144

The 6 th square number is

6² = 6 × 6 = 36

Thus

sum = 144 + 36 = 180

Answer:

22.5

Step-by-step explanation:

1st find the scale factor which was 1.5 by doing 13.5/9

2nd do 15 * 1.5 to get x

Answer:

d = 29/4 miles

That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles

Step-by-step explanation:

Answer:

7 1/4

Step-by-step explanation:

4 5/6 miles / 2/3 hour =

= 29/6 * 3/2 miles/hour

= (29 * 3)/(6 * 2) miles/hour

= 29/(2 * 2) miles/hour

= 29/4 mph = 7 1/4 mph

Answer:

-a + 15

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

3(a + 5) - 2(a + a)

Step 2: Simplify

Answer:

A: 24

Step-by-step explanation:

The length of Brown's pin is 6, while the width is 2. If Johnson has two more meter in length, that's 8, and 1 more than the the width, that's 3. 8 x 3 is 24.