MATHEMATICS HIGH SCHOOL

Bob has 120 beadsThe beads are either red or green
Bob gives 3/4 of the beads to his friend
2/3 of the beads bob now had are red
Work out how many green beads bob now has

Answers

Answer 1
Answer:

Now from 120 beads, Bob has 10 green beads.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Total number of beads = 120,

Since, Bob gives 3/4 of the beads, So the remaining beads,

= 120×1/4

=30

Now from these 30 beads, 2/3 beads are red,

So red beads are = 30×2/3 = 20

Therefore, green beads are = 30-20= 10

Bob has 10 green beads.

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Answer 2
Answer: Bob has 10 green beads you can show this by dividing 120 by 4 and that then leaves 30 beads which is 1/4 of the original amount of beads. Now knowing that Bob has 30 beads you put it into an equation with x over 30 equal to 2/3 that then makes you able to see that if you multiple the denominator by 10 you get 30 so you do the same to the numerator causing x to be 20 and that is the amount of the red beads leaving 10 beads to be green.

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The lines 3y-x=3 and y+3=3(x-1) are
(2,?) is on the line 4x – 5y = -7. Find the other half of the coordinate.
Evaluate the expression 36y + 9 if y =1/6

A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?A. 36/9 yards
B. 37/9 yards
C. 35/9 yards
D. 38/9 yards

Answers

The seamstress had 37/9 yards of material for each uniform.

What is division?

In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.

How to solve it?

Given that total amount of material = 148 yards

number of students in the concert band = 16

number of students in the symphonic band = 20

Total number of students = number of students in the concert band + number of students in the symphonic band

= 16 + 20 = 36

For 36 students, there are 148 yards of material.

Then for 1 student, there are 148/36 = 37/9 yards of material.

Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.

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Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game. Which expressions can be used to find the number of points the Eagles scored in the last game? Select all the expressions that apply.

Answers

Answer:

A. 12+2p

G. p+p+12

Step-by-step explanation:

The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game

Number of points scored in the last game of the season = 2p + 12

A. 12+2p

Equivalent

B. 2+p+12

= P + 14

Not equivalent

C. 2+12p

Not equivalent

D. p(2+12)

= 2p + 12p

Not equivalent

E. p+2+12

= P + 14

Not equivalent

F. 12p+2p

Not equivalent

G. p+p+12

= 2p + 12

Equivalent

5.A store manager receives a delivery of 1,200light bulbs. The store manager tests all the

lightbulbs and finds that 180 of them are defective.

Based on these results, what can the store

manager predict about the next delivery of 1,800

light bulbs?

Answers

The store manager can predict that there may be approximately 270 defective light bulbs in the next delivery of 1,800 light bulbs.

Based on the given information, we know that 180 out of 1200 light bulbs in the first delivery were defective. We can use this information to estimate the number of defective light bulbs we might expect in the next delivery of 1,800 light bulbs.

To do this, we can use the proportion of defective light bulbs in the first delivery and apply it to the next delivery. The proportion of defective light bulbs in the first delivery is:

180/1200 = 0.15

So, we can expect that approximately 0.15 of the light bulbs in the next delivery will be defective. To find out the actual number of defective bulbs, we can multiply this proportion by the total number of bulbs in the next delivery:

0.15 x 1800 = 270

Therefore, the store manager can predict that there may be approximately 270 defective light bulbs in the next delivery of 1,800 light bulbs. However, this is only an estimate and the actual number of defective bulbs could be higher or lower than this prediction.

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Factor the perfect square trinomials

24. 9x^2 + 42x + 49

Answers

Answer:

(3x+7)^2

Step-by-step explanation:

A number increased by 5 and then divided by 7 is 12.

Answers

Answer:

26

Step-by-step explanation:

hope it helped !! :))

What multiplys to be 12 but adds to be 7

Answers

xy = 12
x + y = 7

     x + y = 7
x - x + y = -x + 7
           y = -x + 7

                                    xy = 12
                          x(-x + 7) = 12
                      x(-x) + x(7) = 12
                           -x² + 7x = 12
                    -x² + 7x - 12 = 0
       -1(x²) - 1(-7x) - 1(12) = 0
                -1(x² - 7x + 12) = 0
                           -1             -1
                      x² - 7x + 12 = 0
               x² - 4x - 3x + 12 = 0
      x(x) - x(4) - 3(x) -3(-4) = 0
               x(x - 4) - 3(x - 4) = 0
                      (x - 3)(x - 4) = 0
x - 3 = 0         or         x - 4 = 0
  + 3 + 3                       + 4 + 4
     x = 3                          x = 4

       x + y = 7
       3 + y = 7
     - 3        - 3
            y = 4
     (x, y) = (3, 4)

             or

       x + y = 7
       4 + y = 7
     - 4        - 4
              y = 3
         (x, y) = (4, 3)

The two numbers that mutliplies to 12 and add up to 7 are 3 and 4.
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