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Amanda [17]
3 years ago
9

Seventeen consecutive positive integers have a sum of 306. What is the sum of the seventeen consecutive integers that immediatel

y follow the seventeen positive integers that sum to 306?
Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer:

  • <u><em>595</em></u>

Step-by-step explanation:

Each of the following 17 is 17 more than its corresponding integer in the 1st 17.

---> 306 + 289 = <em>595</em>

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A 10 meter long wire is attached to the top of a flagpole 5√3 meters long. What is the measure of the angle the wire makes with
liberstina [14]
Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.

Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.

Answer is C
7 0
3 years ago
7. Veronica is choosing between two health clubs.
vesna_86 [32]

Answer:

The total cost for  each health club will be the same after 4 months.

Step-by-step explanation:

  • Let A = membership fee for studio A
  • B = membership fee for studio B
  • x= membership month

  • A = 22 + 24.5x
  • B = 47.00 + 18.25x

We want to when the total cost at each health studio is the same.

In other words, when A = B.

Therefore, the expression becomes

A = B

22\:+\:24.5x=47.00\:+\:18.25x

Step 1: Simplify both sides of the equation.

24.5x+22=18.25x+47

Step 2: Subtract 18.25x from both sides.

24.5x+22-18.25x=18.25x+47-18.25x

6.25x+22=47

Step 3: Subtract 22 from both sides.

6.25x+22-22=47-22

6.25x=25

Step 4: Divide both sides by 6.25

\frac{6.25x}{6.25}=\frac{25}{6.25}

x=4

Therefore, the total cost for  each health club will be the same after 4 months.

8 0
2 years ago
Strawberries cost $3.00 per pound. How many punds of strawberries can you buy for $1.00
Mademuasel [1]

Answer:

1/3 or .75 pounds of strawberries

3 0
3 years ago
Read 2 more answers
18<br> 8<br> 12<br> What is the value of x?<br> A. 2V29<br> B. 3761<br> C.2V101<br> D. 2 133
Sati [7]
It is c since that is the answer
5 0
3 years ago
A table costs $50 more than a chair. The cost of 6 chairs and 1 table is $750. The equation 6x + x + 50 = 750, where x is the co
Varvara68 [4.7K]
The equation representing the cost of 6 chairs and a table is:

6x + x + 50 = 750

⇒
7x = 700

This equation is true for x = 100 because:

7(100) = 700

So, the cost of one chair will be $100.

Cost of table is $50 more than a chair, so the cost of one table is $150.

So the answers are:
$ 100
$ 100
$ 150
4 0
3 years ago
Read 2 more answers
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