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Naddika [18.5K]
3 years ago
8

Mindy opens a bank account with $55 and start saving five dollars per week. Sean’s grandma gives him $100 for his birthday, but

he spends $10 every week. After how many weeks would they have the same amount of money, how much will that be?
Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

Answer:

3 weeks, $45

Step-by-step explanation:

So we can make an equation!

55+5x=100-10x

So solving for x,

X=3

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Jennifer earns $7.60 per hour working after school. She wants to buy a musical instrument and she needs at least $500. Write an
slega [8]

Answer:

Step-by-step explanation:

let h be the number of hours.

7.60 h≥ 500

76h≥5000

6 0
3 years ago
Help<br> ================
creativ13 [48]

Answer:

Step-by-step explanation:

x  = 52° + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )

x = 142°

6 0
3 years ago
Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

3 0
3 years ago
Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line i
scZoUnD [109]
<span>Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
Sum of the last 3 in line: 3(34), or 102
</span><span>Sum of last 2: 102 - F (excludes the 4th person's age)
Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
We now get: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
F, or 4th person's age = -32/-1, or 32

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

</span>
6 0
3 years ago
Lily is watering her grandmothers plants she is using a watering can that holds 58 gallon of water Lilly feels the watering can
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348 gallons! take 58 x 6
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