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Maru [420]
3 years ago
7

Help me solve please! The math club has 57 members who are in sixth or seventh grades. There are twice as many sixth graders as

seventh graders. How many sixth graders are in the club?
Mathematics
1 answer:
saul85 [17]3 years ago
7 0
We know there is 57 members are in the math club and there is twice as many sixth grades than the seventh. To find out how many sixth graders are in the club, we do:

x = seventh graders
2x = sixth graders

2x + x = 3x

57=3x
57 ÷ 3 = 3x ÷3
19 = x

So there is 19 seventh graders and 19×2= 38 sixth graders
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If ST bisects RSV, m RST =5x-3 and m VST=2x+15 then choose an equation that could be used to solve for x
Doss [256]

Answer:

x = 6

Step-by-step explanation:

\because ST \: bisects\: \angle RSV\\\therefore m\angle RST = m\angle VST\\(by\: \angle \: bisector \: property) \\\therefore 5x - 3 = 2x + 15\\\therefore 5x - 2x = 15 +3\\\purple{\bold {\therefore 3x = 18}} \\\therefore x =\frac{18}{3}\\\huge \orange {\boxed {\therefore x = 6}}

6 0
3 years ago
Please explain and write the answer!
jenyasd209 [6]

Answer:

You can actually draw both points in a graph to find out as it makes it easier to understand. Or you could think, if C has moved from (0,0) to (-2,3). It means it moves to the left of the x axis by 2, then moves up by 3 on the y axis.

So point P should move the same way. (-3, 4) move by -2 on the x axis would make it -5, and for y you go up 3 steps so 4+3=7 making P's final location (-5,7)

8 0
3 years ago
Calculate the pay for the following day of a weekly time card given a wage of $14/hr
xxTIMURxx [149]

Answer: $122.50

Step-by-step explanation:

We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours

The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.

These times combined = 8 hours, 45 minutes

\frac{45}{60} minutes in an hour = \frac{3}{4} of an hour.

The total time worked was 8 \frac{3}{4} hours.

Multiply 8.75 × $14 = $122.50

I am not a professional, simply using prior knowledge.

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8 0
3 years ago
Solve the equation by completing the square
Nana76 [90]

Answer:

s = - 1 ± \sqrt{7}

Step-by-step explanation:

Given

s² + 2s - 6 = 0 ( add 6 to both sides )

s² + 2s = 6

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s² + 2(1)s + 1 = 6 + 1

(s + 1)² = 7 ( take the square root of both sides )

s + 1 = ± \sqrt{7} ( subtract 1 from both sides )

s = - 1 ± \sqrt{7}

Thus

s = - 1 - \sqrt{7} , s = - 1 + \sqrt{7}

4 0
3 years ago
Simplify 5 to the negative 4th power over 5 to the 3rd
Licemer1 [7]
"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to

5⁻⁴ / 5³

So you can just combine exponents.

5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷

Final answer: 1/5⁷
4 0
3 years ago
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