Mike recorded the number of hours he slept each night for a period of 5 days as shown in the table below.

Based on the information in the table, what was the total number of hours that Mike slept from Monday through Friday?

Answer: 5x4=20

And 5+4=9

Step-by-step explanation:

The required two numbers are 4 and 5.

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

We need to find two number such that if multiply then we get 20 and add to get 9.

Let 'a' and 'b' be two numbers.

According to given conditions,

a × b = 20                .........................(i)

a + b =9                    .......................(ii)

So, from given conditions we have two equations (i) and (ii).

From equation (ii) we have,

a = 9 - b                    ...............(iii)

Substitute above value of 'a' in equation (i),

⇒ (9 - b) × b = 20

⇒ 9b - b² = 20

⇒ b² - 9b + 20 = 0

Now we solve this quadratic equation to find b.

⇒ b² - 9b + 20 = 0

⇒ b² - 5b - 4b + 20 = 0

⇒ (b - 5) (b - 4) = 0

⇒ b = 5 or   b = 4

Find the value of 'a' from equation (iii)

When b = 5

⇒ a = 9 - 5

⇒ a = 4

When b = 4

⇒ a = 9 - 4

⇒ a = 5

Therefore, the required two numbers are 4 and 5.

Learn more about equation here:

https://brainly.com/question/13170101

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Answer:

eighty four 84 84 84 84 84

Answer:

84

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

15/20 is 75%

75% of 40 is 30

Answer:

x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]

Step-by-step explanation:

I'll help

The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;

2x + 5y= 57

The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;

x+10y=51.

So the expressions will be;

2x+5y=57

x+10y=51

That's Option C

Answer:

No

Step-by-step explanation:

plug in the variables into the equation

(x,y)

(-1,2)

2(-1)+2=2

2*-1=-2

-2+2=0

2 does not equal 0 so therefore no, it is not a solution

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

Answer:

C. 5/7

Step-by-step explanation:

Answer:

It is C.5/7

Step-by-step explanation:

Hope this helped have an amazing day!

Answer: i know this already is late but ,8 13 18 just adding 5

Step-by-step explanation:

Answer:

x = 6.91 hope this helps pls lmk

Answer: 10 sq units

Step-by-step explanation:

3 + 4.5 + 0.5 + 2 = 10 sq units

Answer:

4,9

Step-by-step explanation:

since y = x+5, substitute the second equation into the first

then the first equation becomes x+5=2x+1

solve and you get x=4

substitute x for 4 in the second equation and you get y = 9

if this answer was correct, please mark this as brainliest! thanks

Answer:

5 3/4

Step-by-step explanation:

I have this problem too and in the same website too. It told us the total length of all of the flowers, so we add 1/8 + 1/4 + 3/8 + 3/8 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 5/8 + 3/4 + 7/8 and it was equal to 5 3/4

Answer: the answer is 5 3/4

Step-by-step explanation: i took the quiz

Answer:

(-inf, 5)

Step-by-step explanation:

just the previous answer, in anothe r form

Answer:

-5/4

Step-by-step explanation:

rise/run = -5/4

hope this helps <3

Answer:

-5/4

calculator lol (and rise over one)

Answer: I think it might be (0,8)

Step-by-step explanation:

9514 1404 393

Answer:

  $6.87

Step-by-step explanation:

The cost of 0.6 pounds of blueberries is ...

  (0.6 lb)($3.98/lb) = $2.39

The cost of 1.8 pounds of clementines is ...

  (1.8 lb)($2.49/lb) = $4.48

Then the total cost of the purchase is ...

  $2.39 +$4.48 = $6.87

The combined cost is $6.87.

Answer:

45 degrees / 2 miles

Step-by-step explanation:

All the sides are equivalent, therefore each side has the same value.

Hopefully this helped you make sure to make it brainliest! :D

Answer:

Step-by-step explanation:

2√2

Answer:

38 euros

Step-by-step explanation:

ok, so,

you know that

£3 is equal to 4 euros

this means that    0.75 pound is equal to 1 euro

       28.50/0.75=38

do 38 times 1, which means that it is 38 euros

please mark me as brainliest!!!<3

Answer:

6 x

Step-by-step explanation:

The picture below has the steps

Answer:

Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.

Step-by-step explanation:

Answer:

they are dependent

Step-by-step explanation:

Answer:

The answer is y = 60x, there is no y-intercept as she has started at zero.

Step-by-step explanation:

Hope this helps!

Answer:

i got the first one wrong(not 4)

the second is (2,120)

and the last y-120=60(x-2)

Step-by-step explanation:

Answer:

The answer is 12. Hope this helped :-)

Step-by-step explanation:

60% of 20

6.2=12

Answer:

x=15

Step-by-step explanation:

Answer:

a=33 ( vertically opposite angles)

a+90=b( sum of opposite interior angle is equal exterior angle)

33+90 = b

b=123

Answer: -11/12

Step-by-step explanation: