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AfilCa [17]
3 years ago
12

A certain high school has 1,488 students. If you subtract the number of girls from boys you get 78. Let x be the number of boys

and y be the number of girls.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Answer:

boys = 705

girls = 783

Step-by-step explanation:

We are to find the number of boys and girls in the school

the answer can be determined using simultaneous equation

x = boys

y = girls

y - x = 78  equation 1

y + x  = 1488 equation 2

subtract equation 1 from 2

2x = 1410

x = 1410/2 = 705

Substitute for x in equation 1

y - 705 = 78

y = 705 + 78 = 783

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12345 [234]

Answer:

B

Step-by-step explanation:

Note the common difference between consecutive terms of the sequence.

d = 16 - 12 = 20 - 16 = 4

This indicates the sequence is arithmetic with sum to n terms

S_{n} = \frac{n}{2} [2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 4, thus

S_{42} = \frac{42}{2} [ (2 × 12) + (41 × 4) ]

                          = 21( 24 + 164) = 21 × 188 = 3948 → B

7 0
3 years ago
Write the standard form of the equation of the circle with center (−7,1) that passes through the point (−7,9).
kiruha [24]

Answer:

(x + 7)² + (y - 1)² = 64

Step-by-step explanation:

Use the equation of a circle, (x - h)² + (y - k)² = r²

Plug in the point and center, then solve for r:

(x - h)² + (y - k)² = r²

(-7 + 7)² + (9 - 1)² = r²

0 + 64 = r²

64 = r²

8 = r

Then, plug in the center and r² into the equation:

(x + 7)² + (y - 1)² = 64

So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation

4 0
3 years ago
SOS EASY MATH PLZ PLZ
Alborosie
A isn’t correct because there is 2 O’s on the left side and 3 on the right
B is incorrect because there is an S on the right but not on the left
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3 years ago
Read 2 more answers
A number t multiplied by -4 is at least -2 over 5
harina [27]

Answer:

t≤ 8/5

Step-by-step explanation:

-4t≥-2/5   (at last means greater than or equal to }

multiplying by -1

when we multiply or divide by negative number sign of inequality changes

4t≤2/5

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3 0
3 years ago
A rectangular athletic field is twice as long as it is wide. if the perimeter of the athletic field is 240240 âyards, what are i
zhenek [66]
Perimeter of rectangle 2W +2L
Let L = 2W

2W + 2(2W) = 240 (number in question is unclear)

2W + 4W = 240
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dimensions 80x40
5 0
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