Find an equivalent expression for: 20+5(2x+5)

Answer the attached question ASAP!!!

ch4aika [34]

The answer is A (1, -3)

6 0

2 years ago

Rewrite 1 11/25 and 3 3/8 as a square or cube.<br><br> PLEASE PLEASE PLEASE HALLLLLPP, looool

GrogVix [38]

1 11/25

= 36/25 = (6/5)^2

and

3 3/8

= 27/8 = (3/2)^3

5 0

2 years ago

If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$

Surface Area of 5 surfaces of the square prism =

$4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units$

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0

2 years ago

Determine if the ordered pair (6, 4) is a solution to the inequality

kvasek [131]

Answer:

A

Step-by-step explanation:

all we need to do is to plug the point (6,4) in the inequality and see if it satisfies it :

pay attention that here we have x=6 y=4

4< $\frac{3}{4} (6) - 3$

we simplify we get :

4<4.5-3

4<1.5 which is incorrect so (6,4) is not a solution. moreover

notice that 4 is > than 1.5 so the point lies above the line

thus the answer is : A

you can also solve this problem by graphing the line $y=$ $\frac{3}{4} x-3$ and plotting the point (6,4) and hence you will notice that the point is above the line

5 0

3 years ago

Read 2 more answers

ten granola bars and 12 bottles of water cost $23. 5 granola bars and four bottles of water cost $10. how much do one granola ba

pishuonlain [190]

Answer:

2.15

Step-by-step explanation:

Let g= cost of granola bars

b = cost of bottles of water

10g+12b =23

5g +4b = 10

I will solve this system by elimination

Multiply the second equation by -2

-2(5g +4b) = -2*10

-10g -8b = -20

Now we add this equation to the first equation to eliminate g

-10g -8b = -20

10g+12b =23

---------------------

4b = 3

b = 3/4

A bottle of water = $.75

Now we need to find g

5g+4b =10

5g +4(.75) = 10

5g +3 = 10

Subtract 3 from each side

5g +3-3 = 10-3

5g =7

Divide by 5

5g/5=7/5

g = 7/5

g = 1 2/5

g =1.40

We want the cost of one bottle of water and 1 granola bar

1g + 1b

1.4+.75

2.15

4 0

2 years ago

Read 2 more answers