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Marianna [84]
2 years ago
6

A car travels 180 miles in 4 hours find the car's speed in feet per minute ​

Mathematics
2 answers:
kirill [66]2 years ago
8 0
1,760 ft. I can't guaruntee that's correct though...
Elena-2011 [213]2 years ago
4 0

Answer:

180 dived by 4 = 45, 45 divided by 60 = 0.75 per minute

Step-by-step explanation:

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Sophia is at home, and has to
slamgirl [31]

Answer:

Sophia should start her homework at 5:55

Step-by-step explanation:

If it takes her 10 minutes to go to school, 30 minutes to do her homework, and 25 minutes to eat dinner, you should add those numbers together to get 65 because then you can subtract 65 minutes from 7:00 so you get the time she needs to start her homework in order to get to school at 7:00. So basically 10+30+25=65 and then 65 minutes subtracted from 7:00 is 5:55.

I hope this helps you :D

7 0
2 years ago
Read 2 more answers
(Hehe...Please ignore the markings)
inysia [295]

Answer:

See below:

Step-by-step explanation:

Problem 1:

Multiply Equation 1 by 4, keep Equation 2 the same.

x+y=8, multiply each term by 4:

4*x=4x, 4*y=4y, 8*4=32

so, the equivalent system is: 4x+4y=32 and x-y=2

Solve the system of equations:

x-y=2 becomes x=y+2

plug into 4x+4y=32 to solve for y

4(y+2)+4y=32---> 4y+8+4y=32--->8y=24---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 1 Answer:

Equivalent system: 4x+4y=32, x-y=2; solution: x=5, y=3

Problem 2:

Keep Equation 1 the same. Add 1 and 2.

To add an equation, add the left sides together, and then the rights.

so: x+y=8 + x-y=2 gives us: 2x=10

solve for x ---> 2x/2=10/2--->x=5

plug x into x+y=8--->5+y=8--->y=3

Problem 2 answer:

Equivalent system: x+y=8, 2x=10; solution:x=5, y=3

Problem 3:

Subtract Equation 2 from 1, and keep 2 the same.

To subtract an equation, subtract the left sides, then the rights. We are subtracting 1<em> from </em>2, so its 2-1.

x-y=2 - x+y=8 gives us: -2y=-6

Solve for y by dividing by -2-->-2y/-2=-6/-2---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 3 answer:

Equivalent system: -2y=-6, x-y=2; solution: x=5, y=3

Problem 4:

Multiply the sum of Equation 1 and 2 by a factor of 3. Keep equation 2 the same.

First we add 1 and 2: (we did this earlier) ---> 2x=10 ---> now we multiply it all by 3---> 2x*(3)=10*(3)---> this gives us: 6x=30---> now divide by 6 to solve for x: 6x/6=30/6 gives us: x=5

Now, solve for y by plugging x into equation 2: x-y=2---> 5-y=2--->y=3

Problem 4 answer:

Equivalent system: 6x=30, x-y=2; solution: x=5, y=3

______

Quick Tip: One thing inherent of Equivalent systems is that they have the same set of solutions. Thus, we know the systems are equivalent when they have the same set of solutions for x and y. Moreover, you don't need to solve every time after you attempt to find an equivalent system, instead, just plug in the values found in problem 1 to each new set of equations to test if they are equivalent.

If we find x=5 and y=3 for x+y=8 and x-y=2, then all we have to do is plug them in to 6x=30 and -2y=-6 to see if they are equivalent.

6(5)=30 ---> true

-2(3)=-6 ---> true

3 0
2 years ago
Suppose n(x)= 22 and n(y) is 13 what is the maximum number of elements X ∪Y can have ?
Nikolay [14]
The inclusion/exclusion principle states that

|X\cup Y|=|X|+|Y|-|X\cap Y|

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).

Therefore, |X\cup Y| will have the most elements when the sets X and Y are disjoint, i.e. X\cap Y=\emptyset, which would mean the most we can can in this case would be

|X\cup Y|=|X|+|Y|=22+13=35

(Note that n(X)=|X| denotes the cardinality of the set X.)
3 0
3 years ago
If Log x (1 / 8) = - 3 / 2, then x is equal to.<br><br> A. - 4<br> B. 4<br> C. 1 / 4<br> D: 0
Softa [21]

log_{x}(1/8)=-3/2

This is equal to...

x^{-3/2}=1/8

We want "x" so we need to isolate it using laws of exponents...

x^{(-1)(3/2)}=1/8

x^{3/2}=8 because x^{-a}=1/x^{a}

x=\sqrt[3]{8^{2}} because x^{a/b}=\sqrt[b]{x^{a}}

x = 4

answer: B

5 0
3 years ago
The variables x and y are related proportionally. when x= 4 ,y=10 . find y when x=18
egoroff_w [7]
45. divide the first set of x and y by 2 then multiply by 9 to get 45 for y and 18 for x
7 0
2 years ago
Read 2 more answers
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