MATHEMATICS HIGH SCHOOL

Solve, using the substitution method.

2x + 4y = 16
x – 7 = – 4y

Answers

Answer 1
Answer: 2x + 4y = 16\nx - 7 = 4y\n\n2x + 4y = 16\nx = 4y+7\n\n2(4y+7)+4y=16\n8y+14+4y=16\n12y=2\ny=(2)/(12)=(1)/(6)\n\nx=4\cdot(1)/(6)+7\nx=(4)/(6)+7\nx=(2)/(3)+(21)/(3)\nx=(23)/(3)
Answer 2
Answer: Ugh why do you even have to use substitution method, the elimination method is so much easier in this instance... :/

Okay well first off you want to get x alone on one side of the equals sign.

x - 7 = -4y
  + 7    + 7
---------------
x = -4y + 7
Then you plugin -4y + 7 for x in the other equation.

2(-4y + 7) + 4y = 16
Then distribute.

-8y + 14 + 4y = 16
Combine like terms.

-4y + 14 = 16
       -14     -14
-----------------------
-4y = 2
----  ------
-4    -4

y = -0.5

x - 7 = -4(-0.5)
-----------------------
x - 7 = 2
   + 7  +7
----------------
x = 9

Then you plugin the answers for each variable to check, but I will let you do that.

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John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:A graph titled Johns Book Reading shows Number of Weeks on the x axis and Number of Pages Left on the y axis. The scale on the x axis shows numbers from 0 to 6 at increments of 1, and the scale on the y axis shows numbers from 0 to 175 at increments of 25. A straight line joins the ordered pairs 0, 125 and 1, 100 and 2, 75 and 3, 50 and 4, 25 and 5, 0.

Which equation best models the relationship between x and y?

y = −5x + 25
y = −25x + 125
y = −25x + 175
y = −5x + 125

Answers

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks. The equation best models the relationship between x and y is y = −25x + 175

Equation best models the relationship between x and y is :y = −25x + 175

The correct option is (C).

What is equation?

Equation, statement of equality between two expressionsconsisting of variables and/or numbers.

Given that :

John reads an equalnumber of pages of a book every week.

If the number of pages of the book left to read, y, after xweeks.

x-axis                  y-axis

0                           0

1                            25

2                            50

3                           75

4                           100

5                           125

6                           150

7                             175

Then the representation of equation is :

y+25x=175 (total pages is 175).

Hence, y=-25x+175

Learn more about equation here:

brainly.com/question/10413253

#SPJ5

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest?

Answers

Unlike credit card purchases, interest charged on cash advances is already incurred even if you pay before the due date. 

32% is the annual interest rate
1 month is the term
200 is the principal

32% / 12 months = 2.67% per month

200 * 2.67% = 5.34 monthly interest

200 * 32% = 64  annual interest
64/12 = 5.33  monthly interest

She has to pay $5.34 in interes

Answer: A. $5.33

Step-by-step explanation:

I took the test on edge

Plz help me!!!!!!!!!

Answers

Answer:

I'd say 100 m

Step-by-step explanation:

If 1 inch = 50 miles, all you really have to do is measure the line by inches. When I measure it in full-screen, it's about 2 inches.

50*2=100

Also, if you're not sure, that line is too long to be just and inch.

*The length of your tip to your knuckle on your thumb is about an inch.

HOPE THIS HELPS!!!

A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 40 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. Calculate the appropriate test statistic to test the hypotheses.

Answers

Answer:

Step-by-step explanation:

Given that

mu = 1502.5 pages

Sample mean x bar = 1511.4 pages

Std deviation =s= 35.7 pages

Sample size n = 40

By assuming random samples since only sample std dev is know we can say that sample mean x bar follows a t distribution with

mean =1511.4 and std error =(35.7)/(√(40) ) \n=5.64

Test statistic t = Mean diff/STd error = 1.613

df = 39

How to put 40,023,032 in word form

Answers

Forty million twenty three thousand and thirty two hundred
Forty million twenty three thousand and thirty two hundred

Having trouble with trigonometry , please help.

CSCx (1 + SINx) = 1 + CSCx

prove the identity

Answers

Remember that the cosecant is the reciprocal of the sine.  CSC(x) = 1/SIN(x).

Now operate on the left side, and see if you can make it look like the right side:

CSCx (1 + SINx)

Substitute for CSCx :

(1/SINx) (1 + SINx)

Multiply them:

1/SINx + SINx/SINx 
which is the same as  1/SINx + 1
which is the same as CSCx + 1,
and that's the right side of the identity, so you proved it.
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