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4 years ago

If 5a=-4b+5 and 3a=-2b+3, what is 6b?

1 answer:

6 0

There are two equations and two variables. You can solve for each variable using either the elimination method or the substitution method. Here, I believe the elimination method would be best:
5a = -4b + 5
3a = -2b + 3
You can multiply the second equation by two, so the 4b and -4b in both equations will cancel each other out when you add them. So:
5a = -4b +5
6a = 4b +6
Add both equations together.
11a = 11
a = 1
Plug in the a value into any of the previous equations:
5(1) = -4b + 5
-4b = 0
b = 0
So, since we know that b = 0, 6b is also 0.

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Sammy and 4 friends went out to lunch together. They all ordered the same thing for lunch. Sammy was the only one who ordered de

alexandr1967 [171]

Answer:

$4.75.

Step-by-step explanation:

The total cost without the dessert = 27.50 - 3.75

= $23.75

So the cost of each persond lunch = 23.75 / 5

= $4.75.

7 0

4 years ago

Find the surface area (in terms of π) of a sphere if its volume is 972 π.

Sholpan [36]

Surface area of sphere is $Surface\,\,Area=324\pi$

Step-by-step explanation:

We need to find the surface area of the sphere while we are given volume of sphere = 972π

The formula used to find surface area is:

$Surface\,\,Area=4\pi r^2$

We need to find radius of sphere

We are given Volume = 972π, using this volume we can find radius of sphere

The formula used to find volume is:

$Volume=\frac{4}{3}\pi r^3$

Putting values and finding r

$972\pi =\frac{4}{3}\pi r^3$

$r^3=\frac{972\pi *3}{4\pi } \\r^3=729$

Taking cube root on both sides

$\sqrt[3]{r^3}=\sqrt[3]{729}\\ r=9$

So, Radius of sphere r=9

Now finding surface area:

$Surface\,\,Area=4\pi r^2$

$Surface\,\,Area=4\pi (9)^2$

$Surface\,\,Area=4\pi 81$

$Surface\,\,Area=324\pi$

So, surface area of sphere is $Surface\,\,Area=324\pi$

Keywords: Surface area of sphere

Learn more about Surface area of sphere at:

#leanwithBrainly

8 0

3 years ago

Mark the angles and sides of each pair of triangles to indicate that they are congruent.

Tema [17]

Hope this helps! This is how you do it.

7 0

3 years ago

Which expression is equivalent to 3(8 + 7)?

natima [27]

Here we MUST follow Order of Operations rules.
Must start out by doing the work inside the parentheses: (8+7) = 15
Next, multiply this result by 3: 3(15)=45 (answer)

You will have to work out the given versions of this problem until you find one that is also equal to 45.

4 0

4 years ago

Create an equivalent ratio to 10:16 by dividing both sides by 2. What is the equivalent ratio?

Darya [45]

10 / 2 = 5

16 / 2 = 8

The equivalent ratio is 5:8

5 0

3 years ago