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Makovka662 [10]
3 years ago
14

Solve 9x-7y=-7 i don't know how to do it so could you show me step by step please

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0

First of all, you need to know what a 'solution' is, so you'll know it
when you see it.

A 'solution' to an equation is a number, or a set of numbers, that
you can write in place of the variables (the letters), and when you
do that, the equation will have only numbers in it, and it'll be a true
statement.

Your equation has two variables in it ... 'x' and 'y' .  In order to find
just a single set of numbers for what both of them must be, you
would need two equations.

The way it stands now, with only one equation, there are actually
an infinite number of solutions.  Each solution is a pair of numbers ...
one for 'x' and one for 'y' ... and if you write them into the equation
in place of 'x' and 'y', then the equation is a true statement. 
I'll show you how to tell if a pair of numbers is a solution or not.

Here's what that looks like:

Say I give you two pairs of numbers, and I tell you that both of them
are solutions to your equation.  The 'solutions' I give you are

          x=0
          y=1
and
          x=2
          y=3 .

You don't trust me, and you say to me "Wait just a minute there, dude ! 
Not so fast.  I'll need to check them out and see if those are really solutions
to my equation."

You take the first pair and write it into your equation:
x=1, y=0
                                   9x  -  7y  = -7
                                  9(0) - 7(1) = -7
                                   0    -  7   = -7
                                           -7   = -7
OK.  That's a true statement.
So x=0, y=1 is a solution.

Now check the other one I gave you:
x=2, y=3
                                   9x  -  7y  = -7
                                  9(2) - 7(3) = -7
                                   18  -  21  = -7
                                        -3      = -7
This is NOT a true statement.
So  x=2, y=3 is NOT a solution to your equation.
I pulled a fast one on you.  If I was charging you money for solutions,
then you would not pay me for this one, because it's not a solution.

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Answer:

a) He needs to consume 600 kcal from protein.

b) 22 kcal come from fat.

Step-by-step explanation:

a) Lee needs to consume 2400 kcal each day and 25% of this income should come from protein.

We are going to use percentages to solve this problem, to find out how many kcal from protein he should consume we need to multiply 2400 by .25.

2400 (.25) = 600

Lee needs to consume 600 kcal from protein.

b)  A cup of chili contains 220 kcal If 15% of kcal come from fat how many kcal come from fat?

We are going to solve this in a similar way.

We should multiply the total amount of kcal by .15 which is the amount of fat calories.

220 (.15) = 33

33 kcal come from fat.

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3 years ago
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did
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\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$450\\
P=\textit{original amount deposited}\to& \$3000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &3
\end{cases}
\\\\\\
450=3000\cdot r\cdot 3\implies \cfrac{450}{3\cdot 3000}=r\implies \cfrac{1}{20}=r
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5 0
3 years ago
Read 2 more answers
Help solving this math question
olga_2 [115]

22. B) $65,000,000 per year.

23. B) Education.

Step-by-step explanation:

Step 1; To find the average rate of change in annual budget between the two given years. We divide the difference in values for the two years by the period in between the two years. In 2008, the budget was $358,708,000 while in 2010 it was $488,106,000. The period in between was 2 years i.e 2009 and 2010.

The average rate of change = \frac{488,106,000-358,708,000}{2} = \frac{129,398,000}{2} = $64,699,000 per year.

So the average rate of change was $64,699,000 which approximately equals option B. $65,000,000.

Step 2; To find the human resources program's 2007 to 2010 ratio we divide the value in 2007 to the value in 2010. To find the other similar ratio, we divide the value in 2007 to the value in 2010 for all the other programs and determine which is closest to the human resources program.

Human resources program ratio = \frac{4,051,050}{5,921,379} = 0.6841,

Agricultural / natural resources ratio = \frac{373,904}{488,106} = 0.766,

Education's ratio = \frac{2,164,607}{3,008,036} = 0.7196,

General government's ratio = \frac{14,347,325}{14,716,155} = 0.9749,

Highways and transportation's ratio = \frac{1,468,482}{1,773,893} = 0.827,

Public safety's ratio = \frac{263,463}{464,233} = 0.5675.

The Human resources' program ratio is 0.6841 and the closest is Education's ratio which is 0.7196. So education is the answer.

4 0
2 years ago
If f(1) = 2 and f(n) = f(n − 1)² + 4 then find the value of ƒ (3).
erma4kov [3.2K]

Answer:

f(3) = 68

Step-by-step explanation:

→ f(1) = 2 ⇒ f(2) = f²(2 − 1) + 4

                     = f²(1) + 4

                     = 2² + 4

                     = 8

………………………………………………

→ f(2) = 8 ⇒ f(3) = f²(3 − 1) + 4

                      = f²(2) + 4

                      = 8² + 4

                      = 64 + 4

                      = 68

6 0
2 years ago
The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal with a mean of 16.12 OZ and a
elena-14-01-66 [18.8K]

Answer: 90.82%

Step-by-step explanation:

Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .

Mean : \mu=16.12\text{ OZ}

Standard deviation: \sigma=0.09\text{ OZ}

Let X be the random variable that represents the amount of soda in bottles.

Formula for z-score : z=\dfrac{x-\mu}{\sigma}

Z-score for 16 oz: z=\dfrac{16-16.12}{0.09}=-1.33

Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_

P(x>60)=P(z>-1.33)=1-P(x\leq-1.33)=1-0.0917591=0.9082409\approx0.9082\approx90.82\%

Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .

8 0
3 years ago
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