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3 years ago

Must include explanation !!

Mathematics

1 answer:

stich3 [128]3 years ago

7 0

Answer:

18.2 feet^3 of water

Step-by-step explanation:

First let's find 80% of the full capacity, which is 24. To do that, multiply 24 x 0.8, which is 19.2.

Now how much space to the fish take up? There are 8 fish, and each one takes up 1.5 cubic INCHES. 8 x 1.5 = 12 cubic inches, but we need cubic feet. Luckily, there are 12 inches in 1 foot so it'll be a clean and simple 1 foot. The "cubic" part only shows that we're measuring volume.

The 80% capacity - fish capacity = how much water is needed. That will be 19.2 - 1 = 18.2

That's it! Hopefully this helped!

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The sum of two numbers is 88. If four times the smaller number is subtracted from the larger number, the result is 13. Find the

VladimirAG [237]

Answer:

73 and 15

Step-by-step explanation:

I made two variables for this:

x = larger number

y = smaller number

Write an equation for "the sum of two number is 88" and you get:

x + y = 88

Write an equation for "four times the smaller number is subtracted from the larger number" and you get:

x - 4y = 13

I do not want an equation with both x and y in it, so I will rewrite the first one and use substitution in the second one:

x + y = 88 -- move the x to the other side

y = 88 - x

x - 4y = 13 -- substitute for y

x - 4(88 - x) = 13 -- multiply by 4

x - 352 + 4x = 13 -- move -352 to the other side, combine x's

5x = 365 -- divide by 5

x = 73

Now that I know x is 73, I go back to my first equation (x + y = 88) and I get:

73 + y = 88 -- subtract 73 from both sides

y = 88 - 73

y = 15

5 0

3 years ago

Solve the system of linear equations by elimination. 4x - 3y = 8 5x - 2y = -11

s344n2d4d5 [400]

Answer: Solution:

7x=-49

Step-by-step explanation:

4x-3y=8→(1)

5x-2y=-11→(2)

equation(1)×2⇒8x-6y=16

equation(2)×3⇒15x-6y=-33

Substracting ⇒-7x=49

3 0

3 years ago

Please help I will reward Brainly

grigory [225]

V=(4/3)(pi)(r^3)
r=7
Hope this’ll help

7 0

3 years ago

Dave walked to his friend's house at a rate of 4 mph and returned back biking at a rate of 10 mph. If it took him 18 minutes lon

katrin [286]

Answer:

4 miles

Step-by-step explanation:

Walking:

Distance = d miles

Rate = 4 mph

Time = t hours

$d=4\cdot t$

Biking:

Distance = d miles

Rate = 10 mph

Time $=t-\dfrac{18}{60}=t-0.3$ hours (convert minutes to hours)

$d=10\cdot (t-0.3)$

Hence,

$4t=10(t-0.3)\\ \\4t=10t-3\\ \\4t-10t=-3\\ \\-6t =-3\\ \\6t=3\\ \\t=\dfrac{3}{6}=\dfrac{1}{2}=0.5\ hour$

Therefore, the distance to friend's house is

$d=4\cdot 0.5=2\ miles$

and the total distance of the round trip is

$2+2=4\ miles$

6 0

3 years ago

8b^2-5m+12 when b=6 and m=8 Plz help!

natka813 [3]

When you are given an equation or an expression and told the values for the variables, you can just substitute them into the equation to solve:

8b^2 - 5m + 12
8(6)^2 - 5(8) + 12
8(36) - 40 + 12
288 - 40 + 12
248 + 12
260

Answer:
260

Hope this helps!

7 0

4 years ago