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Nady [450]
3 years ago
5

Solve the equation x2 + 64 = 100

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

x = ± 6

Step-by-step explanation:

Given

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = ± \sqrt{36} = ± 6

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Answer:

he gained 3 pounds :)

Step-by-step explanation:

also im not really sure about the ounces!!!

7 0
2 years ago
devin makes a 15% commission each month for everything he sells. if devin sells $2750 of merchandise this month, how much of a c
kakasveta [241]

Answer:

$412.50

Step-by-step explanation:

15% of 2750 = 0.15 × 2750 = 412.5

7 0
2 years ago
Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
Kay [80]
Line through P(0, 5) and Q(-1, 8):
slope = m = (y2 - y1) / (x2 - x1) = (8 - 5) / (-1 - 0) = 3 / -1 = -3

line through R(3, 3) and S(5, -1):
slope = m = (y2 - y1) / (x2 - x1) = (-1 - 3) / (5 - 3) = -4 / 2 = -2

Parallel lines have equal slopes. Since the two lines have different slopes, they are not parallel.
8 0
2 years ago
Sarah has 284 coins in a piggy bank with a total value of $22.78. Sarah has 173 pennies, 5 more dimes than nickels, the rest are
pickupchik [31]
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1)  N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1)  N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78




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3 years ago
The sixth graders have a fundraising goal of $480. They have reached 3/4 of their goal so far. How much money have they raised?
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Answer:

$360

Step-by-step explanation:

6 0
2 years ago
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