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3 years ago

3. IF ON = 5x - 7, LM = 4x +4, NM = x - 7, and OL = 3y – 4, find the values of x and y for which LMNO must

Mathematics

1 answer:

kkurt [141]3 years ago

3 0

Answer:

x = 11 and $y = \frac{8}{3}$

Step-by-step explanation:

If LMNO is a parallelogram then it's opposite sides will be equal.

So, LM = ON

⇒ 4x + 4 = 5x - 7

⇒ x = 11

Now, MN = OL

⇒ x - 7 = 3y - 4

⇒ 11 - 7 = 3y - 4 {Since we already have, x = 11}

⇒ $y = \frac{8}{3}$ (Answer)

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Help me please ASAP

uranmaximum [27]

Perimeter is 24.

Length is 4 greater than the width.

Let's use 'x' for width

we can write this as x+4 + x+4 + x + x

x+4 being the width+4 and x being the width

There are 4 sides to a rectangle so you are adding 4 values

Two length and two widths

so we can then combine the two lengths to make 2x+8

and then combine the two widths to make 2x

Then put it together. 2x+2x+8= 4x+8

4x+8=24

Subtract 8 from both sides

4x=16

divide both sides by 4

x=4

The width is 4.

6 0

3 years ago

You need to wrap a present that you will put inside a cylindrical container. You’ll need to know how much will fit in the conta

nirvana33 [79]

Answer:

149.28 sq. inches

137.5 cubic inches.

Step-by-step explanation:

The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.

Now, total surface area of the container = $2\pi r^{2} + 2\pi rh$

= $\frac{2 \times 22 \times (2.5)^{2} }{7} + \frac{2 \times 22 \times 2.5 \times 7}{7}$

= 39.28 + 110

= 149.28 sq. inches (Answer)

Again the volume of the container will be $\pi r^{2}h$

= $\frac{22 \times (2.5)^{2} \times 7}{7}$

= 137.5 cubic inches. (Answer)

6 0

3 years ago

3. Ahmed wants to buy a new carpet for his house. The cost of the carpet is $240. One day the carpet shop has a special offer of

Mamont248 [21]

Answer:

After using the offer the carpet would cost Ahmed $180.

Step-by-step explanation:

Given:

Cost of the carpet = $240

Discount percent = 25%

We need to find the cost of the carpet after discount.

Solution:

First we will find the Discount cost.

Now we know that;

Discount cost is equal to Discount percent multiplied by Cost of the carpet divided by 100.

framing in equation form we get;

Discount cost = $\frac{25}{100}\times 240 = \$60$

Now we will find the Cost of the carpet after discount.

Now we know that;

Cost of the carpet after discount is equal to Cost of the carpet minus Discount cost.

framing in equation form we get;

Cost of the carpet after discount = $\$240-\$60= \$180$

Hence After using the offer the carpet would cost Ahmed $180.

6 0

2 years ago

How many solutions dose 3x+2=2x+2+x have explain why below remember explain

valkas [14]

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+2=2x+2+x

3x+2=(2x+x)+(2)(Combine Like Terms)

3x+2=3x+2

Step 2: Subtract 3x from both sides.

3x+2−3x=3x+2−3x

2=2

Step 3: Subtract 2 from both sides.

2−2=2−2

0=0

6 0

3 years ago

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Consider the functions given below.

Hunter-Best [27]

Answer:

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1 year ago