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dolphi86 [110]
3 years ago
10

The Factor Theorem states:

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0
Ur ans will be bit 3
if x-k is a factor then f(k)=0
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Chara sold 52 boxes of candy for her marching band fundraiser. The large box costs $3.50 each and the small box costs $1.75 each
Ahat [919]

Answer:

The number of boxes of candy sold are:

40 small boxes and

12 large boxes of candy.

Step-by-step explanation:

Let the number of small boxes sold = x

Let the number of large boxes sold = y

we are given the following information:

x + y = 52 - - - - - -(1)   (Chara sold 52 boxes of candy)

3.5(y) + 1.75(x) = 112 - - - - - - (2)   (Chara sold $112 worth of candy)

From the two equations above, x and y can be solved as follows:

x + y = 52   - - - - - -(1)

x = 52 - y    - - - - - - (3)

putting the value if x in equation (3) to replace x in equation (2);

3.5(y) + 1.75(x) = 112 - - - - - - (2)

3.5(y) + 1.75(52 - y) = 112

3.5y + 91 - 1.75y = 112

(3.5y - 1.75y) + 91 = 112

1.75y = 112 - 91 = 21

y = 21 ÷ 1.75 = 12

y = 12

Now, let us put the value of y into equation (3)

x = 52 - y    - - - - - - (3)

x = 52 - 12 = 40

Therefore,

40 small boxes and 12 large boxes of candy were sold.

7 0
3 years ago
How do you find 10% of 9900
Serhud [2]

Step-by-step explanation:

10\% \: of \: 9900 \\  \\  =  \frac{10}{100} \times 9900 \\  \\  = 10 \times 99 \\  \\  = 990

7 0
3 years ago
Read 2 more answers
5 cakes cost £4 how much do 7 cakes cost
Nostrana [21]

You can solve this using proportion.

5 = 4

7 = ?

7(4)/5= 5.6

7 cakes cost £5.6

4 0
3 years ago
Read 2 more answers
Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp
ycow [4]

Answer:  The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Number of boys added: 18 </em>
  • <em>Ratio of boys to girls: 5:4 </em>

So, the total number of boys is:

x + 18  

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0
3 years ago
QUICK QUESTION! PLEASE ANSWER FAST!
mr_godi [17]
A^2 + B^2 = C^2
7^2 + B^2 = 25^2
49 + B^2 = 625
-49 -49
B^2 = 576
Square root both sides
B = 24
4 0
3 years ago
Read 2 more answers
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