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4 years ago

What does y equal in the equation 4(2y-3)-2y=24?

Mathematics

1 answer:

makvit [3.9K]4 years ago

3 0

Answer:

y=6

Step-by-step explanation:

4(2y-3)-2y=24

Distribute

8y -12 -2y = 24

Combine like terms

6y -12 = 24

Add 12 to each side

6y-12+12 =24+12

6y = 36

6y/6 =36/6

y = 6

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The attached image has the question; thank you for helping. Please have a step-by-step explanation; thank you.

nika2105 [10]

The area of the right angled triangle is 8 cm^2.

According the statement

we have to find the area of the right angled triangle with the help of the given equation.

So, For this purpose, we know that the

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees. The other two angles sum up to 90 degrees.

From the given information:

The length of the perpendicular side (call as a) = 2cm

And

The length of the base side (call as b) = 8cm

We know that the area of the right angle triangle is :

Area = ab /2

Then

substitute the terms in it then

Area = 2*8/2

Area = 8 cm^2.

So, The area of the right angled triangle is 8 cm^2.

Learn more about right angled triangle here

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4 0

2 years ago

Jim has grades of 84, 65, and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 8

Fynjy0 [20]

$x-\ frade\ from\ next\ test\\\\
\frac{84+65+76+x}{4}=80\ \ \ \ | multiply\ by\ 4\\\\
225+x=320\ \ \ \ | subtract\ 225\\\\
x=95\\\\
He\ should\ have\ 95\ points.$

8 0

3 years ago

Read 2 more answers

A lot of 9 components contains 3 that are defective. Two components are drawn at random and tested. Let be the event that the fi

kirza4 [7]

Answer:

Probabilty of first component drawn defective= 0.1161

Probability of second component drawn defective= 0.1560

Step-by-step explanation:

Total component = 9

Defective component= 3

Non-defective component= 6

Probability of defective= 3/9

= 0.3333

Probabilty of non defective= 1-0.3333

= 0.6666

Probabilty of first component drawn is defective

= 9C1(0.333)¹(0.6666)^8

= 9(0.3333)(0.0387)

= 0.1161

Probabilty of second component is defective

= 8C1(0.3333)¹(0.6666)^7

= 8(0.3333)(0.0585)

= 0.1560

7 0

3 years ago

A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and

OLEGan [10]

Answer:

$5.77\ \text{m}$

$11.54\ \text{m}$

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

$\theta$ = Angle between the rope and the ground = $30^{\circ}$

$\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}$

The length of the rope is $5.77\ \text{m}$

$\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}$

The length of the pole is $11.54\ \text{m}$

3 0

3 years ago

Use the net to find the surface area of the prism

swat32

If we were to fold this into a prism, the rectangle on the left would be the base. The short sides of the triangles would fold to meet up with the 5 inch sides of the base. Then the rectangle on the right would fold down and fit between the two triangles, meeting up with the base. Visualizing the shape in 3 dimensions allows us to figure out the lengths of some sides. For example, the short sides of the triangles both equal 5 inches. Also, the long sides of the triangles equal 13 inches and the long side of the base is 8 inches.

The surface area is the area of all the surfaces.

8*5=40
8*12=96
2*(0.5*5*12)=60
13*8=104

Add these up..

40+96+60+104=300 in^2

4 0

4 years ago