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Alchen [17]
3 years ago
14

Guys please help me out ignore #21

Mathematics
1 answer:
ipn [44]3 years ago
7 0

Answer:

8.25

Step-by-step explanation:

To solve, you need to create a system of equations.  You will need two variables since you have two numbers.  Create your equations based on the descriptions given in the problem.

The difference of two numbers is 4.

x - y = 4

The sum of the two number is -7.

x + y = -7

Your system of equations is

x - y = 4

x + y = -7

You can solve systems of equations through either substitution or elimination.  You will get the right answer either way.  I will use substitution since that is my preference.

Rearrange the first equation so that it is equal to x.

x - y = 4

x = 4 + y

Plug this x-value into the x in the second equation.  Solve for y.

x + y = -7

(4 + y) + y = -7

4 + 2y = -7

2y = -11

y = -11/2

Use the y-value to solve for x.  You can plug it into either equation and get the right answer.  I will use the first equation.

x - y = 4

x - (-11/2) = 4

x + 11/2 = 4

x = -3/2

Now you have both of the numbers.  Multiply to find the product.

-11/2 × -3/2 = 33/4 = 8.25

The answer is 8.25.

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To decrease your household water usage by 10% a month means that a household using 4000 gallons of water a month would cut down
a_sh-v [17]

Answer:

3600

Step-by-step explanation:

0.1*4000=400

4000-400=3600 gallons

8 0
3 years ago
Simplify the expression: (3m + 1)(2)
BARSIC [14]

Answer:

6m + 2

Step-by-step explanation:

To simplify the expression you must have to use the distributive property:

(3m + 1)(2)

2 x 3m = 6m

2 x 1 = 2

6m + 2

3 0
3 years ago
Read 2 more answers
Help quick. Need fast. Thx
Vlada [557]
2/9×5=10/45
3/5×9=27/45
so 3/5 is bigger then 2/9

5/7×5=25/35
3/5×7=21/35

So 5/7 is larger than 3/5

So from least to greatest the numbers are
2/9 then 3/5 then 5/7

So your answer is A
6 0
3 years ago
Solve for H: A = L ⋅ W ⋅ H
Sergeu [11.5K]

Answer:

The answer would be

H = A over L times W

Step-by-step explanation:

This is because, when you multiply the L, W, and H you end up getting A. This means that A is the biggest number. We automatically can tell that H is what were looking for so putting those two things together we have this: H = A over ???

The ??? would have to be L times W because those are the only things left and they get multiplied together which in the end leaves us with

H = A over L times w

aka

H=A/LxW

6 0
2 years ago
3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

5 0
3 years ago
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