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Igoryamba
1 year ago
11

A marching band has 64 members. The band director

Mathematics
1 answer:
kap26 [50]1 year ago
5 0
Which grade is this and which school?


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The product of two consecutive, negative integers is 182. What equation represents the situation?
Sholpan [36]
-13 and -14

They both are consecutive negative integers that multiply to 182.
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2 years ago
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Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of t
Alja [10]
10 of those sheets are secondary colors.

40% = 0.4
0.4(25) = 10
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2 years ago
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Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 8 millimeters long, and each passing week it
S_A_V [24]

Answer:

L(w) = 8 mm + (2 mm/wk)(wk)

Step-by-step explanation:

L(w) = length of beard as a function of time in weeks

L(w) = 8 mm + (2 mm/wk)(wk)

7 0
1 year ago
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On a rectangular soccer field, Sang is standing on the goal line 20 yards from the corner post. Jazmin is standing 99 yards from
Anna007 [38]
Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:
               
                    99ft
      A  -------------------------  B
         |                              |
20 ft  |                              |
         |                              |
    C   --------------------------  D

The question is asking you to solve for the diagonal line between points C and B. If you imagine a line there, you actually have the rectangle split into two triangles. So if you have triangle ABC, side CB would be the longest line, or the hypotenuse. That means you can use the Pythagorean Theorem to solve the problem.

A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2

Now you solve for the square root of 10,201 to get C.

sqr (10,201) = C
C = 101 yards

3 0
1 year ago
Suppose you know that Mr. and Mrs. Vincent have at most eight children. One day you happen to meet two girls who were the Vincen
lianna [129]

Answer:

The number of children are 4 out of which 3 are girls

Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = \frac{1}{2}

now,

let the number of children be 'n'

the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = \frac{^xC_2}{^nC_2} = \frac{1}{2}

also,

^nC_r = \frac{n!r!}{(n-r)!}

thus,

\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}} = \frac{1}{2}

or

\frac{x(x-1)}{n(n-1)}=\frac{1}{2}

or

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

2(3)(3-1) = 4(4-1)

12 = 12

hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0
1 year ago
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