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Vedmedyk [2.9K]
2 years ago
15

Ankur estimated the quotient of 15 1/3 divided by -4 2/3 to be 3. Which best describes his error?

Mathematics
2 answers:
scZoUnD [109]2 years ago
6 0

When dividing a positive number by a negative number, the result is negative.

A better estimation would be -3.


hichkok12 [17]2 years ago
5 0

Solution:

As the two numbers 15 \frac{1}{3} {\text{and} -4\frac{2}{3}<em> </em>are mixed fractions.

15 \frac{1}{3}= \frac{46}{3} \\\\ -4\frac{2}{3}= \frac{-14}{3}

Now,  \frac{ \frac{46}{3}}{\frac{-14}{3}} = - 3

Ankur's answer= 3

The mistake he has committed , while dividing two fractions , he must have forgot that one of the fraction which is in the denominator bears negative sign  before it.

So, \frac {+}{-}= -.

Ankur forgot to put negative sign before 3.

So, The correct option which describes ankur's error is : Ankur found that the quotient of a positive number and a negative number is positive.

Option 3 is right choice.



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Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. Jam
Ad libitum [116K]

Answer:

he makes $12 less.

Step-by-step explanation:

$80X12=960 - Matts income for the year

960-816=144 -How much less James makes than Matt per year

144/12=12 - How much less James makes than Mat per month

leave 5 stars and a thanks if it was helpful.

3 0
2 years ago
Read 2 more answers
Two similar bottles are shown. the smaller bottle can hold 500ml. how much can the larger bottle hold. the smaller bottle is 15
tankabanditka [31]

Answer:

If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)

Step-by-step explanation:

Step 1: Formula of volume of a cylinder is pi*r^2*h

where value of pi is 3.14

r is the radius

h is the height of the bottle (height is different for both bottles)

After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.

You can extract the radius by following this method:

Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)

500 = 3.14 * (r)^2 *15

500/(3.14*15) = r^2

10.616 = r^2

Taking sqrt. on both sides

We get r = 3.26

Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.

V= 3.14 * (3.26)^2 *21

V= 701.14 (approx)

5 0
2 years ago
Read 2 more answers
The surface area for a rectangular prism with a square base is SA=2s2+4shSA=2s2+4sh.
Rus_ich [418]
A=2s^2+2sh\implies A=2\times2^2+4\times2\times4=40
4 0
1 year ago
The length if Marshall's rectangular poster is 2 times its width.If the perimeter is 24 inches, what is the area of the poster.
4vir4ik [10]
Length=2x
width=x
Perimeter of a rectangle=2(lenght)+2(width)

The first is to find out the measures of this rectangle, that is to say, you have to find the length and width of these rectangle.

We can suggest this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4

2x=2(4)=8

The lenght will be 8 in, and the length will be 4 in.

The second; you have to calculate the area of this rectangle.
area of a rectangle= lenght x width

area=(8 in)(4 in)=32 in²

answer: the area of Marshall´s rectangular poster would be 32 in²

4 0
1 year ago
Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot sh
fgiga [73]

The scatter plot showing data gathered and line of best fit is attached below :

Answer:

69

Step-by-step explanation:

Given the regression model :

y = 1.73x + 0.0924

Where,

y = number of pink flowers

x = Red flowers

Slope = 1.73

Intercept = 0.0924

The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :

Put x = 40 and calculate the value of y

y = 1.73(40) + 0.0924

y = 69.2 + 0.0924

y = 69.2924

Number of pink flowers = 69

8 0
2 years ago
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