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sertanlavr [38]
3 years ago
7

=

Mathematics
1 answer:
sweet [91]3 years ago
5 0

Step-by-step explanation:

no. of books Amy bought= 3b

3b=24

b=24/3

b=8 books

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Please help me with this :) i give 30 points .
Tatiana [17]

Answer:

2  B  4/75

3 B 1/7

Step-by-step explanation:

4 red, 3 blue, 2 yellow, 6 orange

total = 15

2.  P(red) = red/total = 4/15

replace it

so we still have 4 red, 3 blue, 2 yellow, 6 orange

total = 15

P(blue) = blue/total = 3/15 = 1/5

P(red, replace, blue) = 4/15 * 1/5 = 4/75

3 P(orange) = orange/total = 6/15 = 2/5

not replacing it

so we  have 4 red, 3 blue, 2 yellow, 5 orange

total = 14

P(orange) = orange/total = 5/14

P(orange, no replace, orange) = 2/5*5/14 = 2/14 = 1/7

6 0
3 years ago
Read 2 more answers
he yearbook club had a meeting. The meeting had 24 people, which is three-fourths of the club. How many people are in the club
WINSTONCH [101]

Answer:

32 people

Step-by-step explanation:

If 3/4 equals 24, we need to find the other fourth. We can divided the total number of people by the numerator. 24/8, then add 8, which equals 32.

4 0
3 years ago
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
stiv31 [10]

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
3 years ago
junior rides his trucycle off a level porch. If he left the porch at a speed of 4 m/s and landed a horizontal distance of 2.5m f
WITCHER [35]

Answer:

the height of the porch is H=1.91 m

Step-by-step explanation:

neglecting friction and assuming that the porch is horizontal, then the horizontal speed is v₀= 4 m/s and it does not change , thus he hits the base at

t= L/v₀ , L= horizontal distance

then for vertical motion , since the vertical velocity vy is 0 , the initial height is H ( the height of the porche)  and the final height hf is 0 , we have

hf = H + vy*t - 1/2*g*t²

0 = H + 0 -1/2*g*t²

H = 1/2*g*t² = 1/2*g*(L/v₀)²

replacing values with g= gravity = 9.8 m/s²

H = 1/2*g*(L/v₀)² = 1/2*9.8 m/s² *( 2.5 m/ 4 m/s)² = 1.91 m

therefore the height of the porch is H=1.91 m

6 0
4 years ago
Find the values of A & B so that x^4+x^3+ax+b is divisible by x^2+1
DaniilM [7]

Answer:

a = 1 b = -1.

Step-by-step explanation:

Suppose the quotient when you divide x^4+x^3+ax+b  by x^2 + 1 is

x^2 + ax + b then expanding we have:

(x^2 + 1)(x^2 + ax + b)

= x^4 + ax^3 + bx^2 + x^2 + ax + b

= x^4 + ax^3 + (b + 1)x^2 + ax + b Comparing this with the original expression:

  x^4 +  x^3  + 0 x^2       + ax + b  Comparing coefficients:

a = 1 and b+ 1 = 0 so b = -1.

6 0
4 years ago
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