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Veronika [31]
1 year ago
13

Suppose you write and solve an equation to determine the amount of money m you have in your bank account after several weeks. Yo

u find that m = -36. Choose any of the following interpretations of this value that are correct.
a) The bank owes you $36.
b) The account has a balance less than $0.
c) You overdrew on the account by $36.
d) The account has a positive balance.
Mathematics
1 answer:
Irina-Kira [14]1 year ago
8 0

Answer:

whwy2yy2t35stgeh2hwhh3h

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What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ?
oksian1 [2.3K]
3y=6+x
y=(6+x)/3
y=2+x/3
y=mx+b
y=x/3+b
so m(slope) is 1/3
use the point (3, 5), sub this for x and y
5=3/3+b
5-1=b
b=4
therefore, y=x/3+4
or y=(1/3)x+4 (you can write it like this as well)

5 0
3 years ago
Q 1 PLEASE HELP ME FIGURE THIS OUT 2
dimulka [17.4K]

Answer: \frac{\pi }{3}

<u>Step-by-step explanation:</u>

cot is \frac{cos}{sin} on the Unit Circle. When is cos = \frac{1}{2} and sin = \frac{\sqrt{3}} {2}?  In other words, where is the coordinate (\frac{1}{2},\frac{\sqrt{3}} {2}) on the Unit Circle?

It occurs at 60° = \frac{\pi }{3} radians

**************************************************************************************

Answer: cot θ

<u>Step-by-step explanation:</u>

  sec (90 - θ) * cos θ

= \frac{1}{cos (90 -\theta)} * cos θ

= \frac{cos\theta}{cos(90 - \theta)}

= \frac{cos\theta}{cos90*cos\theta+sin90*sin\theta}

= \frac{cos\theta}{0*cos\theta+1*sin\theta}

= \frac{cos\theta}{sin\theta}

= cot θ

**************************************************************************************

Answer: BC = √5, AC = 2√5

<u>Step-by-step explanation:</u>

\frac{\pi} {3} = 60°, which means ΔABC is a 30°-60°-90° triangle so we can use the side length formulas: x - x√3 - 2x.

∠C is the 60°. It matches to side AB so: AB = x√3 = √15   ⇒   x = √5

∠A is the 30°. It matches to side BC so: BC = x = √5

∠B is the 90°. It matches to side AC so: AC = 2x = 2(√5)  = 2√5

**************************************************************************************

Answer: k = 4, RS = 12, QS = 28

<u>Step-by-step explanation:</u>

\frac{QR}{MN} = \frac{RS}{NO}= \frac{QS}{MO}

\frac{24}{6} = \frac{RS}{3}= \frac{QS}{7}

proportionality constant k can be found with \frac{QR}{MN} = \frac{24}{6} = 4

\frac{QR}{MN} = \frac{RS}{NO}

→ 4 = \frac{RS}{3}

→ 4(3) = RS

→ 12 = RS

\frac{QR}{MN} = \frac{QS}{MO}

→ 4 = \frac{QS}{7}

→ 4(7) = QS

→ 28 = QS


3 0
3 years ago
What time is 5 3/4 hours after 11:32 pm?
Arisa [49]
5.17 in the morning.

3 0
3 years ago
Solve for x and y
amm1812

Answer:

x=4, y=10

Step-by-step explanation:

(x+2)/3= (y-2)/4= (y-x)/3

  • x+2= y-x ⇒ y= 2x+2
  • (x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4
  • y=2*4+2= 10

7 0
3 years ago
Read 2 more answers
What was the final price of the wind chime?
svet-max [94.6K]

Answer:

$29.93

Step-by-step explanation:

First, we take the discount off of the original price.

We need to find the discount amount in dollars.

30/100=.3 this is 1%.

.3 * 5 = 1.5 He will get $1.50 off of his purchase.

30 - 1.5 = 28.5.

Next we will add tax. We need to find tax in dollars.

28.5/100=.285 this is 1%

.285 * 5 = 1.43 He will get $1.43 of tax on his purchase.

28.5 + 1.43 = 29.93

He will pay $29.93 for his wind chime.

6 0
3 years ago
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