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3 years ago

Solve for a in terms of b and c:3a+4b=c

1 answer:

8 0

We want a in terms of b and c: 3a+4b=c

Isolate 3a on the left side: 3a = c - 4b
Divide all terms by 3:

a = c/3 - 4b/3 (answer)

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Box A contains 4 Blue counters and 3 white counters. Box B contains 5 white counters and 3 blue counters. Lauren takes a counter

Georgia [21]

Answer: 20/9

Step-by-step explanation:

4 0

3 years ago

For selling his studio apartment, Martin had to pay the real estate agent a commission of 5%. The studio sold for $95,000. What

Sergeu [11.5K]

The other answer is wrong, but I’d appreciate brainliest:

To answer it: commission = sell price * commission rate
Commission = 95000 * 0.05
Commission = $4750

7 0

2 years ago

If a car has tires with a radius of 1.5 ft and the tires are spinning at 840 rpm (revolutions per

tamaranim1 [39]

Answer:

89·98 mph

Step-by-step explanation:

First, we get the circumference of the tires:

Circumference = $\pi$ × (radius × 2)

Circumference = 3.142 × (1·5 × 2)

Circumference = 3·142 × 3

Circumference = 9·426 ft

The circumference of the tire is equal to one round.

1 round = 9·426 ft

840 rounds = ?

We cross multiply to get the length that the tires would cover in a minute

= 840 × 9·426

1 minute = 7917·84 ft

60 minutes = ?

60 × 7917·84

= 475070·4 ft

5280 feet = 1 mile

475070·4 feet = ?

475070·4 × 1

5280

475070·4 ÷ 5280 = speed of the car in mph

89·97545

Round this off to 2 decimal places...

= 89·98 mph

hope this helps! =)

5 0

3 years ago

Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan'

Olenka [21]

Alright, denote sweatshirts by x and tshirts by y:
for billy: 2x+3y=35$
for jordan:3x+3y=45$
We need to get rid of one of the unknowns inorder to solve, therefore we will subtract the two equations from each other. This will get rid of the y variable(3y-3y=0)
2x+3y=35$
-
3x+3y=45$
=
-1x=-10$
we get rid of the negative, which leaves us with x=10$. Knowing this info, we can now easily calculate y:
2x+3y=35$
2(10)+3y=35$
20+3y=35$
3y=15
y=15/3
y=5
Hope this helps!

6 0

2 years ago

5x^2-25x=125 solve by completeing the square

IRINA_888 [86]

Answer:

x = 10, -15

Step-by-step explanation:

We can start right away by dividing both sides of our equation by 5 to get the reduced form $x^2-5x=25$ .

To "complete the square," or turn the left side of the equation into something we can factor into a perfect square, it helps to remember that for any binomial x - a:

$(x-a)^2=x^2-2ax+a^2$

To "complete" our square, we'll need to add an a² to either side of the equation. To find a, we can set 5x = 2ax and solve:

$5x=2ax\\5/2=a\\25/4=a^2$

Let's add that a² to both sides and simplify!

$x^2-5x+\frac{25}{4}=25+\frac{25}{4}\\\\(x-\frac{5}{2})^2=\frac{125}{4}\\\\x-\frac{5}{2}=\pm\sqrt{\frac{125}{4} } \\\\x=\pm\frac{25}{2}-\frac{5}{2}$

Now we're ready to solve for both value of x:

$x=\frac{25}{2}-\frac{5}{2}=\frac{20}{2} =10\\\\x=-\frac{25}{2}- \frac{5}{2}=-\frac{30}{2} =-15$

So our solutions are x = 10 and x = -15

4 0

3 years ago