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Elina [12.6K]
3 years ago
6

Ms.Nikkel wants to divide her class of 23 students into 4 equal teams. Is this reasonable? Why or why not

Mathematics
2 answers:
Bess [88]3 years ago
6 0
No, because one student will be left out making one group unequal.
trapecia [35]3 years ago
6 0

I’m late but just to let you know, it’s actually 3 let over because, 23 divided by

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SOMEONE HELP PLEASE! ASAP!
Luba_88 [7]
When two lines intersect, the angles across from the intersection (the "X") are congruent (equal), and referred to as "vertical angles."
So by the rule of vertical angles are congruent, we can set them equal:
{x}^{2}  - 6x = 1\div2 \: x + 42 \\  {x}^{2}  - 6x - 1 \div 2 \: x = 42 \\  {x}^{2}  - 6.5x = 42
{x}^{2}  - 6.5x - 42 = 0 \\ multiply \: both\: sides \: by \: 2 \: to \: get \\ rid \: of \: the \: decimal \\ 2({x}^{2}  - 6.5x - 42) = 2(0)
2 {x}^{2}  - 13x - 84 = 0
to factor we need the factors of 84:
1×84, 2×42, 3×28, 4×21, 6×14
Now we need one of those factors ×2 ( from the x^2 term) minus the other factor to equal 13 (the middle term)
it turns out that if we use 4×21: 4×2 = 8
and 21-8 = 13. Woohoo! we got it
So now we have:
2 {x}^{2}  - 13x - 84 = 0 \\ (2x - 21)(x + 4) = 0
Now set each factor = 0
1) 2x - 21 = 0 and 2) x + 4 = 0
1) 2x - 21 = 0, 2x = 21, x = 21/2 = 10.5
2) x + 4 = 0, x = -4

Now we plug in each answer to check:
1) x = 10.5
{x}^{2}  - 6x =  {(10.5)}^{2}  - 6(10.5) \\  = 110.25 - 63 = 47.25
1/2x + 42 = 1/2(10.5) + 42 = 5.25 + 42 = 47.25
47.25 = 47.25
BAM SO IT LOOKS LIKE THAT'S IT!!
But let's check 2) first:
2) x = -4
{( - 4)}^{2}  - 6( - 4) = 16 + 24 = 40
1/2x + 42 = 1/2(-4) + 42 = -2 + 42 = 40
40 = 40, so both work!!
But it asks for m<1, and <1 is supplementary because it lies on same line, meaning the sum of both = 189
Therefore m<1 = 180 - 47.25 = 132.75°
OR m<1 = 180 - 40 = 140°


6 0
3 years ago
Which shows the best estimate to use<br> to find 43 × 78?
Over [174]

Answer:

The best estimate for 43x78 is 40x80

Step-by-step explanation:

43 rounded to the nearest ten is 40.

78 rounded to the nearest ten is 80.  

The answer to 40x80 is 3200

4 0
3 years ago
PLEASE HELP I AM BEHIND!!!!
romanna [79]

Answer:

The answer is c definitely

6 0
3 years ago
Read 2 more answers
How many times do you need to multiply by ten to get from 19.797 to 1979.7
borishaifa [10]
You need to multiply 19.797 by 10 two times to reach 1979.7
5 0
3 years ago
Read 2 more answers
What is the area of the white border?
Lina20 [59]

Answer:

A_{white} = 119\ cm^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the black area</u>

A = l * w

A = 8\ cm * 2\ cm

A = 16\ cm^2

<u>Step 2:  Determine the area of the entire white and black area</u>

A = l * w

A = 9\ cm * 15\ cm

A = 135\ cm^2

<u>Step 3:  Determine the difference to just get the white area</u>

A_{white} = 135\ cm^2 - 16\ cm^2

A_{white} = 119\ cm^2

Answer: A_{white} = 119\ cm^2

4 0
2 years ago
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