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podryga [215]
3 years ago
5

At a certain game at a school carnival, people won 42 small prizes and 18 large prizes. For every _____ small prizes won, there

were _____ large prizes won.
Mathematics
1 answer:
yanalaym [24]3 years ago
3 0

Answer:

For every  7  small prizes won, there were  3  large prizes won.

ratio : 42:18 or 7:3

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Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x
Sindrei [870]

Answer:

<u>f(g(x)) = 9x² + 15x + 2</u>

Step-by-step explanation:

  • f(x) = x² + 5x + 2
  • g(x) = 3x

<u>Solving f(g(x))</u>

  • f(g(x))
  • f(3x)
  • f(3x) = (3x)² + 5(3x) + 2
  • f(3x) = 9x² + 15x + 2
  • <u>f(g(x)) = 9x² + 15x + 2</u>
8 0
1 year ago
Read 2 more answers
A postcard has an area of 24 square inches. Two enlargements of the postcard have areas of 54 square inches and 96 square inches
Alex777 [14]

Answer:

original is 4 & 6.

for 54 sq inch= 6 & 9 and for 96 sq inch=8 & 12

Step-by-step explanation:

Given: The length is 1.5 times the width.

so the length is, l = 1.5w ----(a)

lw = 24  =1.5w(w)

lw = 54= 1.5w(w)

lw = 96 =1.5w(w)

Further simplifying it,

1.5w^{2}=24

1.5w^{2}=54

1.5w^{2}=96

so,

w^{2} = \frac{24}{1.5}=16

w^{2}= \frac{54}{1.5} =36

w^{2}= \frac{96}{1.5} =64

taking the square root, we get:

w = 4

w = 6

w = 8

By putting the above values in eq (a), we can find their corresponding lengths:

l = 1.5(4) = 6

l = 1.5(6) = 9

l = 1.5(8) = 12

So a few lengths could be:

(l, w)

(6,4)

(9,6)

(12,8)

5 0
3 years ago
Read 2 more answers
Two boats start their journey from the same point A and travel along directions AC and AD, as shown below
adell [148]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Answer and explanation please?
nignag [31]
The answer would be A. m= -3/5 and b=-4/5
"m= -5-1 divided by 7--3
or, -6/10
or, -3/5.

to find the (B)

<span><span>(-3,1). y=mx+b or 1=-3/5 × -3+b, or solving for b: b=1-(-3/5)(-3). b=-4/5.</span><span>(7,-5). y=mx+b or -5=-3/5 × 7+b, or solving for b: b=-5-(-3/5)(7). b=-4/5.</span></span>See! In both cases we got the same value for b. And this completes our problem.

<span><span>The equation of the line that passes through the points(-3,1) and (7,-5)is</span><span>y=-3/5x-4/5"</span>
Source: webmath</span>
5 0
3 years ago
11. x squared - 7x = 0 12. 3x squared - 4x = 20x + 27
Stella [2.4K]
11. x² - 7x = 0
      x(x) - x(7) = 0
      x(x - 7) = 0
      x = 0    or    x - 7 = 0
                           + 7 + 7 
                               x = 7

Solution Set: {0, 7}

12. 3x² - 4x = 20x + 27
           + 4x   + 4x
             3x² = 24x + 27
      3x² - 24x - 27 = 0
      x = -(-24) ± √((-24)² - 4(3)(-27))
                              2(3)
       x = 24 ± √(576 + 324)
                         6
       x = 24 ± √(900)
                     6
       x = 24 ± 30
                 6
       x = 4 ± 5
       x = 4 + 5    or    x = 4 - 5
       x = 9    or    x = -1

Solution Set: {9, -1}
8 0
3 years ago
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