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Softa [21]
3 years ago
9

The teacher separated her class of twenty-eight students into two groups. One group has 4 more than twice as many students as th

e other group. How many students are in each group?
Mathematics
1 answer:
wariber [46]3 years ago
8 0
4+2x = x (x = student in smaller group)

4 + 2x + x = 28 (total # of students)
4+ 3x = 28
3x = 24
x = 8
8 students in the smaller group 
4 + 2(8) = 20 students in the larger group
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Rufina [12.5K]
The solutions would be +0.37 and -0.37.

When completing the square, we take 1/2 of the value of b (in this case 5).  5/2=2.5.  We then square this number:  2.5²=6.25.  We add this value to both sides of the equation:

x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25

Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87

Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37

We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
4 0
3 years ago
Read 2 more answers
32
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6 0
3 years ago
Yasmin took a survey of her classmates to determine the frequencies of different eye colors
dexar [7]
The answer is 29 classmates.

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7 0
3 years ago
if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the val
Ugo [173]

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by P(1+\frac{r}{n})^{nt}

Thus, we have,

Investment Value = 5000(1+\frac{0.05}{12})^{12\times 10}

i.e. Investment Value = 5000(1+\frac{0.05}{12})^{12\times 10}

i.e. Investment Value = 5000(1+0.00417)^{120}

i.e. Investment Value = 5000\times 1.648

i.e. Investment Value = $8,240

Hence, the investment amount after 10 years is $8,240.

5 0
3 years ago
4b-4=3b+4<br> solve for b
damaskus [11]

Answer:

4b-3b=4+4

b=8

Step-by-step explanation:

Hence, the value of b is 8

#hope it helps

6 0
3 years ago
Read 2 more answers
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