Carla wants to know how many batches of birdseed she can make with 1/2 cup of sunflower seeds. She puts 1/6 cup of sunflower seeds in every batch. Carla divides 1/2 by 1/6 to find the answer. She says this is the same as multiplying 1/6 by 2; explain what Carla did wrong and show the correct solution.

Answers

Answer 1

Answer:

she was wrong because when you divide 1/2 by 1/6 its not the same as multiplying 1/6 by 2 but you do get the same answer its just the wrong equation

Step-by-step explanation:

Answer 2

9514 1404 393

Answer:

Carla inverted the numerator when she should have inverted the denominator before multiplying3

Step-by-step explanation:

Any division problem is the same as a multiplication problem with the multiplier being the reciprocal of the denominator. So to divide 1/2 by 1/6, we could multiply 1/2 by (1/(1/6)) = 6/1. The result would be ...

  [tex]\dfrac{1}{2}\div\dfrac{1}{6}=\dfrac{1}{2}\times\dfrac{6}{1}=\dfrac{6}{2}=\boxed{3}[/tex]

__

Carla's mistake was inverting 1/2 instead of 1/6 in her solution to the problem.


Related Questions

Write a number in the blank that makes this number sentence true.

43 + 29 = ___ + 60

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).

Answers

Answer:

10x+23 (pretty sure) and the * means multiply

Step-by-step explanation:

[tex]12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23[/tex]

Helppppppppppppppppp

Answers

The answer is C.

Hope this helps! :))
The answer is 3x+15= 51

Or answer C !!!

will the quotient of 5 divided by 7/8 be greater than or less than 5? explain

Answers

Answer:

7/8 x 5/1 = 35. 35/8= 4.375 is less than 5

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

If you divide 5 by 7/8, you will get 40/7. Convert to a decimal to compare, and you will see that 5<5.7

Estimate the number of fish eaten by the dolphins.
note
The dolphins were fed
150 fish at 9:00 A.M. and
471 more fish at 5:00 P.M.
Estimate the total number
of fish the dolphins ate.
I fish

Answers

The dolphins ate about 621 fish 150+471=621 or 620 since it said ‘‘about’’ means to round to the nearest whole number

When do you use the divergence test, comparison test, p test, geometric, integral, comparison, limit comparison, and alternating series?

Answers

Step-by-step explanation:

Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.

If lim(n→∞) an ≠ 0, then an diverges.

(Note this only tests divergence, not convergence.)

P Test: use this when the series is a p-series.

For an = 1 / nᵖ, if p > 1, then the series converges.  Otherwise, it diverges.

Geometric Test: use this when the series is a geometric series.

For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges.  Otherwise, it diverges.

Integral Test: use this when the sequence can be easily integrated.

If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.

If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.

Comparison Test: use this when a sequence is similar to a p-series or a geometric series.

If bn > an and bn converges, then an converges.

If bn < an and bn diverges, then an diverges.

Otherwise, inconclusive.

Limit Comparison Test: use this when comparison test is inconclusive.

If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.

Alternating Series Test: use this when the series is alternating.  This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.

If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.

(Notice this only tests for convergence, not divergence.)


Bao can eat 12 chicken wings in 3 minutes. She eats the chicken wings at a constant rate.
How many chicken wings can Bao eat in 12 minutes?
chicken wings
Stuck?

Answers

Answer:

48

Step-by-step explanation:

If Bao eats 12 chicken wings in 3 minutes than that will help us find the unit rate by dividing 12 by 3, and then you will get 4. Now that you know the unit rate you will multiply it by 12 and get 48.

Answer:

For this we have to do simple division and multiplication, giving us the answer of 48.

Step-by-step explanation:

The easiest way to solve this is to first divide 12 by 3, giving us 4, the amount of time it would take for Bao to eat a single chicken nugget. And then since the question asks how many Bao can eat in 12 minutes, you would multiply 4 by 12, thus giving you the answer of 48.

A water tower holds 26400 gallons of water. The water company can fill the tower at a rate of 20 gallons per minute,
How many hours would it take the water company to all the tower if it is completely empty?
o 22 hours
24 hours
220 hours
0 440 hours

Answers

Answer:

22 Hours

Step-by-step explanation:

26400/20 = 1320m

1320m = 22h

22 Hours

Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commision on his sales, x. Maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. For what value of sales, x, will Jose's earnings be greater than Maris' earnings?

Answers

Answer:

x>$25000

Step-by-step explanation:

Is 4x + 9 equivalent to 2(2x+5) -1?

Answers

Answer: Yes!

Step-by-step explanation:

1. So you have: 4x+9 and 2(2x+5)-1

2. Simplify the 2nd expression: 2(2x+5) -1 = 4x + 10 - 1 = 4x+9

4x+9 = 4x+9

Answer:

Yes

Step-by-step explanation:

Set them equal to each other to see. If they are, then you should come out with the answer 0 = 0.

4x + 9 = 2(2x + 5) - 1

4x + 9 = 4x + 10 - 1

0 = 0

Mr. Anderson has 4/5 of a pizza left over and split it among his 4 children. What fraction of the pizza did each child get? * 11 points 1/5 2/3 16/5 16/20

Answers

Answer:

The answer is 1/5

Step-by-step explanation: Turn 4 in to a fraction (4/1) and take 4/5 then flip the the 4/1 fraction (1/4) and multiply it by 4/5. 4/5*1/4=4/20 simplify it 1/5. Hope this helped!

Jill can run 20 miles in
three hours at a steady
rate. How many minutes
will it take her to run
five miles?

Answers

Answer:

45 minutes

Step-by-step explanation:

Change 3 hours to minutes

1 hours = 60 minutes

3 hours = 180 minutes

Using proportions

20 miles          5 miles

-------------   = ----------------

180 minutes      x minutes

Using cross products

20x = 5* 180

20x =900

Divide each side by 20

20x/20x = 900/20

x =45

45 minutes

Answer: 45 minutes

Step-by-step explanation: 20 miles in 180 minutes, 5 miles is 1/4 of 20 miles so you divide 180 by 4 which gives you 45

When estimating you should use what numbers

Odd
Even
Large
Round

Answers

Answer:

Round

Step-by-step explanation:

Find the volume of the prism.
6 cm
5 cm
7 cm
5 cm
6 cm

Answers

Answer:  Possibly, 105 cm³ if it is a triangular prism,  or

Possibly 210 cm³ if it is a rectangular prism

Step-by-step explanation: Without knowing exactly what kind of prism it is, it is impossible to give an exact answer.

If the bases are triangles with altitude and and base of 5 and 6, anf the height of the prism is 7, the volume is

(6×5)/2 × 7

30/2 ×7

15 × 7 = 105 cm³ for a triangular prism

If the bases are rectangles with length and and width of 6 and 5, and the height of the prism is 7, the volume is

6×5×7 = 210 cm³ for a rectangular prism

Jake purchased 3 games for $11.80 each and 1 magazine for $12.95. What is the total amount Jake spent?

Answers

Answer:

$48.35

Step-by-step explanation:

$11.80 × 3 = $35.40$35.40 + $12.95 = $48.35

I hope this helps!

In this set of chips, each plain chip has a
value of -1, and each striped chip has a value of 1. What is the value of the set?

Answers

Answer:

-1x + y  

Where x = number of plain chips and y = number of striped chips.

Step-by-step explanation:

NOTE: if an image was giving with this question please attach the image to get a more simplified answer.

What is the value of the fraction below?
0
26
O A. O
B. Undefined

Answers

Where’s the fraction?

M
(
x
)
=
log
(
x
0.001
)
M
(
x
)
=
log
(
x
0.001
)

Answers

Answer:

0

Step-by-step explanation:

(Will Mark Brainliest!!!)Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1)
A: y + 3 = −5(x − 2)
B: y − 2 = −5(x + 3)
C: y + 3 = −(x − 2)
D: y − 2 = −(x + 3)​

Answers

Answer:

b

Step-by-step explanation:

the point-slope form of the equation is equal to

PLEASE HELP DUE TODAY WILL MARK BRAINLIEST
Write the equation of line in slope-intercept form.
Line parallel to y=−2x+3 that passes through the point (−100,−100)

Answers

Answer:  y= -2x - 500  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.

We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.

-100 = -2(-100) + b      where b is the y-intercept

-100 = 400 + b

-400  -400  

b = -500  

The y intercept is -500 and the slope is -2 therefore, the equation will be  

 y= -2x - 500

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!HEEEEEEELLLLLLPPPPPPPP!!!
THIS IS DUUEEEE TTTOOOODDDAAAYYYYY.
Question 1:
-|7-2x|+11= -8
Question 2:
9-7|-x-3|= -61
Question 3:
13|-2x+1|-10=159

Answers

Answer:

-|7-2x|+11= -8

x=-6 0r x=13

9-7|-x-3|= -61

x=-13 or x=7

13|-2x+1|-10=159

x=-6 or x=7

Step-by-step explanation:

-|7-2x|+11= -8

-|7-2x|=-8-11

either :

7-2x=-19

-2x=-19-7

x=-26/2

x=13

Or: 7-2x=19

-2x=19-7

-2x=12

x=-12/2

x= - 6

9-7|-x-3|= -61

9−7(|−x−3|)=−61

−7(|−x−3|)=−61-9

−7(|−x−3|)=−70

|-x-3|=-70/-7

|-x-3|=10

either :

-x-3=10         or -x-3=-10

-x=13                   -x=-7

x=-13                    x=7

13|-2x+1|-10=159

13|-2x+1|=159+10

13|-2x+1|=169

|-2x+1|=169/13

|-2x+1|=13

either                                          or

-2x+1=-13                                     -2x+1=13

-2x=-14                                        -2x=12

x=-14/-2                                        x=12/-2

x=7                                               x=-6

HElP!! Plzz thanks you

Answers

Answer:

a) 20

b) ab

Step-by-step explanation:

[tex]a.\\\\\frac{9}{5}=\frac{36}{x}\\\\x\cdot 9=36\cdot 5\\\\x=\frac{36\cdot5}{9}\\\\x=4\cdot 5\\\\x=20[/tex]

[tex]b.\\\\\frac{a}{6b}=\frac{y}{6b^2}\\\\\frac{6b^2\cdot a}{6b}=y\\\\y=b\cdot a\\\\y=ab[/tex]

In a survey of 600 students 80 percent said they liked pop music.How many students liked pop music

Answers

Answer:

600 × .8 = 480

480 Students

What does “is” mean in math

Answers

Answer:

Multiplication

I hope this helps!

20 + 3 (7 + 4) + 5 + 2 (7 + 9)

Answers

Answer:

90

Step-by-step explanation:

i did the math hope this helps you out

what the biggest 7/2 or 3 1/4?​

Answers

7/2 is bigger; there are three wholes in this fraction , with a 1/2 left over, which makes it 3 1/2.

Answer:

7/2

Step-by-step explanation:

y=3ab+2b to the 3rd power

Answers

Answer:

27a^3b^3 + 8b^3

Step-by-step explanation:

because

A number is doubled and then increased by nine. The result is ninety- Three. What is the original number?

Answers

Answer:

42

Step-by-step explanation:

First you subtract 93 by 9. You get 84. Then you divide it by 2. Which is your answer, 42.

This can be represented as:

93=2x+9

First subtract 9 from both sides

84=2x

Then divide by 2 on both sides

42=x

Martin used a coordinate plane to design the garden shown. Each unit on the grid represents 10 yards.
How many yards of rope does Martin need to rope off the perimeter of the garden?
Enter your answer in the box.

Answers

The number of yards Martin needs to rope off the perimeter of the garden is: 320 yards.

What is the Perimeter of a Figure?

Perimeter of any figure is the total length of the surrounding of the figure or shape.

Given:

A unit on the grid = 10 yards

From the diagram given, the figure is surrounded by 32 units

Thus:

Perimeter of the garden = 32 units × 10 = 320 yards.

Learn more about perimeter on:

https://brainly.com/question/19819849

<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answers

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

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