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Jobisdone [24]
3 years ago
11

Find the value of x if A,B,and C are collinear points and B is between A and C. AB=3x, BC=2x-7, AC=2x+35

Mathematics
2 answers:
Mariana [72]3 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

3x+2x-7=2x+35

then solve for x

bekas [8.4K]3 years ago
3 0

<u>Answer:</u>

x = 14

<u>Step-by-step explanation:</u>

We are given that A, B and C are collinear points and B is in between A and C.

The length from A to B is 3 x, length from B to C is 2x - 7 and AC is 2 x + 35.

We are to find the value of x.

A B + B C = A C

3 x + 2 x - 7 = 2 x + 3 5

3 x + 2 x - 2 x = 3 5 + 7

3 x = 4 2

x = \frac { 4 2 } { 3 }

x = 14

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What does x equal if 8x - 4 equals 4x plus 1
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4x=5 Answer: so 5/4

Step-by-step explanation: 8x-4 = 4x + 1

add like terms so 4x=5 then divide

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3 years ago
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A lacrosse team won 80% of their games. If they won 24 games, how many games did they play?
Phantasy [73]

Answer:

30

Step-by-step explanation:

80% of 30 is 24 (u can use a calculator if you would like to check the answer but it is 30)

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2 years ago
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A large mixing tank initially contains 1000 gallons of water in which 30 pounds of salt have been dissolved. Another brine solut
serg [7]

Answer:

(B)\dfrac{dA}{dt}=8-0.004A

Step-by-step explanation:

Volume of fluid in the tank =1000 gallons

Initial Amount of Salt in the tank, A(0)= 30 pounds

Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.

Rate In=(concentration of salt in inflow)(input rate of brine)

=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}

The resulting mixture is pumped out at the same rate, therefore:

Rate Out =(concentration of salt in outflow)(output rate of brine)

=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}

Therefore:

The rate of change of amount of salt in the tank,

\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A

5 0
3 years ago
George bought 2.5 pounds of each type of fruit shown on the sign apples $1.30/lb,grapes $1.65/lb,bananas $0.49/lb.what was the t
Stella [2.4K]

Answer:

$8.60

Step-by-step explanation:

Let’s find the cost for each item

Apples: 2.5 x 1.30 = 3.25

Grapes: 2.5 x 1.65 = 4.125

Bananas: 2.5 x 0.49 = 1.225

Now we will add all the costs which will give use our total!

3.25 + 4.125 + 1.225 = 8.6

So the answer will be $8.60

5 0
1 year ago
The length and width of a rectangle are consecutive integers. The perimeter of the
Hunter-Best [27]

The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.

<h3>What is the Perimeter of a Rectangle?</h3>

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

  • A rectangle has four 90° angles.
  • The lengths of a rectangle's diagonals are equal.

Let the length of the rectangle be x feet

Then, the width of the rectangle will be x+1feet

We know that the perimeter of a rectangle is given by

P= 2(l+w)

Here

P= perimeter of a rectangle

l=length of the rectangle

w= width of the rectangle

Put l=x, w= x+1 and P= 38 in the perimeter formula

38 = 2(x+x+1)

Divide both sides by 2

19= x+x+1

19= 2x+1

Subtract 1 from both sides

18=2x

Divide both sides by 2

x=9 feet

This is the length of the rectangle.

Now, the width x+1 of the rectangle will be

9+1 = 10 feet

To know more about the perimeter of a rectangle, visit:

brainly.com/question/2142493

#SPJ9

5 0
9 months ago
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