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Sunny_sXe [5.5K]
3 years ago
6

3c + 4c+ - 13 = 1 Plzz help

Mathematics
2 answers:
Arisa [49]3 years ago
7 0

Answer:

c=2

Step-by-step explanation:

collect like terms 3c+4c=7c

move the constant to the right and change its sign(-13 becomes 13)

then add 1+13=14

next divide both sides of the equation by 7

14÷7=2

Sophie [7]3 years ago
6 0

Answer:

C=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3C + 4C + -13 = 1

(3C + 4C) + (-13) = 1

Combine like terms.

7C + -13 = 1

Add 13 to both sides.

7C = 14

Divide both sides by 7.

C = 2

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Natalka [10]

Answer:

1/8

Step-by-step explanation:

.5x.25=.125

1 divided by 8 equals .125

7 0
2 years ago
Find the measure of angle A.<br> A<br> 9x+6<br> 4x + 6<br> m/A=
Likurg_2 [28]

Answer:

angle A=30°

Step-by-step explanation:

9x + 6 + 4x + 6 + 90 = 180 \\ 13x + 102 = 180 \\ 13x = 180 - 102 \\ 13x =  78 \\  \frac{13x}{ 13} =  \frac{ 78}{13} \\ x = 6 \\ 4x + 6 = a \\ 4(6) + 6 = a \\ 24 + 6 = a \\ 30 = a

6 0
2 years ago
Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot
Lady_Fox [76]
In order to solve this problem, you need to use a geometric series:
S_{n} =  \frac{ a_{1}(1 - r^{n}) }{1 - r}
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
 <span>S_{n} =  \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}
= 219783.60 $

Luke's total earnings in five years are <span>219783.60 $.</span>

</span>
6 0
3 years ago
5. A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in
lesya [120]

Answer:

Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.

Step-by-step explanation:

Let P be the required location of pole .

A and B are the two gates.

Let the distance of pole at p from gate be 'x' meters

i.e. PB = x m

•°• AP = (x + 7)m and AB = 13 m

•°• AP² + BP² = AB² => (x +7)² + x =13²

Rejecting x =-12, we get x = 5

•°• PB = 5m

and

AP = 12m

(I hope this helped :)

4 0
3 years ago
Use ALL of the tools have, to find area and perimeter of this below:<br><br>​
mamaluj [8]

9514 1404 393

Answer:

  • area 36 ft²
  • perimeter 30 ft

Step-by-step explanation:

The area can be decomposed into a rectangle and a trapezoid.

The rectangle is 2' by 5', so has area ...

  A = LW

  A = (5 ft)(2 ft) = 10 ft²

The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²

Then the total area of the figure is ...

  total area = 10 ft² +26 ft² = 36 ft²

__

The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...

  c = √(a² +b²) = √(3² +4²) = √25 = 5

The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...

  P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet

The perimeter of the figure is 30 feet.

3 0
3 years ago
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