How many cherries tomatoes does he need?

9514 1404 393

Answer:

  b.  A × B = GCF(A, B) × LCM(A, B)

  c. 15 = GCF × LCM / 20

Step-by-step explanation:

b. The products of the numbers in the table are 80, 108, 216, 45.

The products of the corresponding GCF and LCM are 80, 108, 216, 45.

Conjecture: the product of the numbers is equal to the product of the GCF and LCM.

__

c. GCF×LCM = 5×60 = 300 = A×B = 20×B

  B = 300/20 = 15

The other number is 15, found by using the conjecture of part b.

_____

If you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:

  A = (factors in common with B) × (factors unique to A)

  B = (factors in common with A) × (factors unique to B)

The GCF, by definition, are (factors in common between A and B).

The LCM, by definition, is the product of unique factors:

  (common factors) × (factors unique to A) × (factors unique to B)

__

Then the product of the LCM and the GCF is ...

  GCF × LCM =

  (factors in common) × ((factors in common) × (unique to A) × (unique to B))

Using the associative and commutative properties of multiplication, we can rearrange this product to be ...

  ((factors in common)×(unique to A)) × ((factors in common)×(unique to B))

  = A × B

__

Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:

  [unique to A (common] unique to B)

Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.

Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.

The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.

Answer:

1a:  [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b: See below

1c:  [tex]2\frac{3}{4}[/tex] inches between the beetle and ant

Step-by-step explanation:

1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.

So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b. Solve the equation written above from 1a.

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

-3/4     -3/4   [subtract 3/4 to start the process of getting x by itself]

[tex]\frac{1}{3}x[/tex] = 1[tex]\frac{3}{4}[/tex]

*3/1   *3/1 [Multiply Reciprocal to get X by itself]

x= [tex]5\frac{1}{4}[/tex]

1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them

5 1/4 - 2 1/2 =  [tex]2\frac{3}{4}[/tex]

These answers were found by using this info:

the beetle is 3/4 inch below the ground level. The beetle climbs 1/3 the distance. The beetle is now 2 1/2 inches below ground.

Answer: x=26

set 4x+8=6x-44

then get the x to the left side and make it stand alone by subtracting the other numbers to get them over

Hope this helped a little XD

Answer:

Step-by-step explanation:

Long division:

2x³ - 5x + 4 ÷ x - 3 = 2x² + 6x + 13 rem 43

2x³ - 6x²

       6x² - 5x

      6x² - 18x

                13x + 4

                13x - 39

                        43

Answer:

2/3 over 15 is 10

so 10/5=2

2 is the answer

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

71 m................

area =length *width

5864=84*width

width=5864/84

hence width is 71m

Answer:

(a) -7+3

(b)-7+(-3)

Answer:

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Step-by-step explanation:

Answer:

The answer is 61

Answer:

61

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

This is a division question.

The equation is 3/4 ÷ 5 or, to simplify this, 3/4 ÷ 5/1.

When you divide fractions you have to flip the second number and multiply the two fractions.

So, you have to do 3/4 x 1/5 which is 3/20.

Thus, the answer is 3/20.

Good luck!

Answer:

Step-by-step explanation:

1) c

x² = 1

x² - 1 = 0

Degree of quadratic equation should be 2.

2) 'a'- coefficient of x² cannot be 0

option a

3) option c

Standard form: ax² + bx +c = 0

4) c = 5

3x² + 8x = -5

3x² + 8x + 5 = 0

option c

5) b= 0

option a

Answer:

2.36 miles

Step-by-step explanation:

subtraxt them from each other

Answer:

1 1/6 miles

Step-by-step explanation:

i failed the test sooo haha here you go hopefully you dont fail:)

Using the unitary method we can conclude that James is 64 times closer to the post office than to the library.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that James lives 4 miles from the town library.

James lives 256 miles from the post office.

Therefore, we will divide the 256 by 4 to get the answer;

256/4 = 64

Thus, we can conclude that James is 64 times closer to the post office than to the library.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

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The total sunflowers and roses Lira has is 18 and 27 respectively

Let

Total flowers = x

Roses = 2/9 of x

= 2/9x

Remaining = x - 2/9x

= (9x-2x) / 9

= 7/9x

Sunflowers = 3/7 of 7/9x

= (3 × 7)/(7 ×9)x

= 21/63x

Tulips = 36

Total = roses + sunflowers + tulips

x = 2/9x + 21/63x + 36

x - 2/9x - 21/63x = 36

(63x -14x-21x) / 63 = 36

28/63x = 36

cross product

28x = 36 × 63

28x = 2268

x = 2268/28

x = 81

Therefore,

Total flowers = x

= 81 flowers

Roses = 2/9x

= 2/9 × 81

= 18 flowers

Sunflowers = 21/63x

= 21 / 63 × 81

= 27 flowers

Read More:

https://brainly.com/question/2261275

Answer:

8.) ans {e}

9.) ans {j, u, d, g}

10.) ans {j, u, d, g, m, e, n, t, a, l}

Step-by-step explanation:

yes , all constant are like terms.

Answer:

567898765

Step-by-step explanation:

Answer:

A) [tex]y+7=-3(x-4)[/tex]

Step-by-step explanation:

Hi there!

The given equations are written in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that falls on the line

Notice how the line is travelling infinitely down as x increases. This means that the slope is negative.

Therefore, the equation of the line is either A or B.

Now, let's look at A:

[tex]y+7=-3(x-4)[/tex]

This equation suggests that the point (4,-7) falls on the line, which it does.

Therefore, the equation of the graph is [tex]y+7=-3(x-4)[/tex].

I hope this helps!

Answer: A.) y + 7 = - 3 ( x - 4 )

Step-by-step explanation:

i didnt know i was a graph lolz im just playin have a nice day kind person and sorry for answering late!!!!!!

Step-by-step explanation:

-4+13=9

-16-(-29)=13F lower

Answer:

Sorry link only if you have enough rupees

Step-by-step explanation:

78x

87x

09x

cc

bb

dom=cb

makes sense now c.r.y because this answer is too smart f/.or y.o.u not helping you? just pray and god will give you your answer or talk morshu he'll give you help BUT only if you have enough rupees.

Answer:

BC = 13

Step-by-step explanation:

Pitagoras:

H^2= 5^2 + 12^2

H^2=25 + 144

H^2= 169

H= V 169 ---- square root

H= 13 -------BC

Answer: C. 13

Step-by-step explanation:

Using pythagoras ;

[tex]BC = \sqrt{5^{2}+12^{2} }[/tex]

[tex]BC=\sqrt{25 + 144}[/tex]

[tex]BC =\sqrt{169}[/tex]

[tex]BC= 13[/tex]

Please give me a brianliest answer

Answer:

B-the cost of each pair of shoes

Step-by-step explanation:

This is because each pair of shoes cost $25 dollars more than each suit (which is represented by x)

x + 25, represents the cost of each pair of shoes. Option B is correct.

Given that,
This month Peter purchased 50 suits for his store. He also needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month
50 (x) + 35 (x + 25) + 450, What x + 25 represents the equation is to e determined.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
Let x be the rate of each suit,
and the cost of the shoe is $25 dollars more than each suit. So,
50 (x) + 35 (x + 25) + 450
In the equation, x + 25  represent the cost of each pair of shoe.

Thus, x + 25, represents the cost of each pair of shoes. Option B is correct.

Learn more about polynomial function here:

https://brainly.com/question/12976257
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brisa is 12.5 aja is 10.5 and damaris is 4

Everyone uses this sofware to develop there decent knowledge about different courses that are best taught by Artificial Intelligence (A.I.).

Answer:

Step-by-step explanation:

Factors:

#A

No

#B

Yes

#C

Yes

#D

No

Answer:

"do you mock people's mental states?"

Answer:

Step-by-step explanation:

Lets verify is the function is decreasing in the given interval.

Answer:

(1,6)

Step-by-step explanation:

all u gotta do is look at the graph, the school is at x=1 and y=6 so therefore (1,6)

Answer:

(1,6)

Step-by-step explanation: