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2 years ago

5

PLZ HELP NOOOWWWW!!!! 15 points!

2 answers:

Lorico [155]2 years ago

5 0

Hello!

The unit rate would be 2.5.

Because you take the 2 out of 1/2 and get the unit rate.

Hope this helped. :)

yawa3891 [41]2 years ago

3 0

Hello!

First you have to find how many sections of blue ribbon makes 1 meter

1/5 * 5 = 1

It takes 5 sections of blue ribbon to make one meter of blue ribbon

Multiply this by the sections of red ribbon

1/2 * 5 = 2.5

The answer is 2.5 meters of red ribbon for every meter of blue ribbon

Hope this helps!

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A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

the sum of three consecutive even integers is 36. Let X represent the first integer, x + 2 represent the second integer, and x +

ozzi

Answer:

see explanation

Step-by-step explanation:

Sum the 3 consecutive integers and equate to 36

x + x + 2 + x + 4 = 36

3x + 6 = 36 ( subtract 6 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10

The 3 consecutive integers are

10, 10 + 2, 10 + 4, that is

10, 12, 14

7 0

3 years ago

Julie built a tower of blocks that stood 22.5 cm tall. Each block is 1.5 cm tall.

Pavel [41]

We must divide the total height by the size of the blocks to work out how many are in the tower
22.5 / 1.5 = 15 blocks

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3 years ago

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Tasya [4]

x=-11

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2 years ago

Jack cuts a pie into 4 equal parts. The pieces are called _______ of the pie

djyliett [7]

Fractions of the pie?

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