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Lady_Fox [76]
3 years ago
10

John and Kevin each bought apples at the store. John bought three more than twice the number of apples Kevin bought. If they bou

ght 21 apples combined, how many apples did Kevin buy?
Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0
Let x be the amount of apples that Kevin bought.

It says that john buys three more than twice the amount of apples that kevin buys, so 3 + 2x apples.

They bought 21 apples total, so x + 3 + 2x=21

Collecting like terms gives 3x+3=21

Subtracting 3 from both sides gives 3x=18 and then dividing both sides by 3 gives x=6

x is the amount of apples kevin bought, so kevin bought 6 apples
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Svet_ta [14]

Answer:

Since -14 is added in each term

Therefore,in 68 th term will be 68×-14 +(-19)

As the 1 st term is -19

68 th term= -952+(-19)

68 th term= -971

8 0
3 years ago
Which equation represents a line which is perpendicular to the y-axis?
erma4kov [3.2K]

Answer:

y = 5

Step-by-step explanation:

The y-axis and any lines that are parallel to it are vertical. Therefore, a line that would be perpendicular to the y-axis would need to be horizontal. All horizontal lines have a slope equal to 0 and are represented by the equation y = a constant, or a single number with no variables.  

The only option that follows that format is y = 5, thus that is the answer.  

6 0
2 years ago
Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f
sergeinik [125]
f(x)=3x^2-4 \\ \Downarrow \\ f(0)=3 \times 0^2-4=0-4=-4 \\ -4 \not= 0 \\ f(0) \not= 0 \\
\hbox{statement 1 is false} \\ \\
f(-2)=3 \times (-2)^2-4 =3 \times 4-4=12-4=8 \\
f(2)=3 \times 2^2-4=3 \times 4-4=12-4=8 \\ 8=8
\\ f(-2)=f(2) \\
\hbox{statement 2 is true}

f(5)=3 \times 5^2-4=3 \times 25-4=75-4=71 \\ f(2)=8 \\
f(7)=3 \times 7^2-4=3 \times 49-4=147-4=143 \\
71+8 \not= 143 \\
f(5)+f(2) \not= f(7) \\ \hbox{statement 3 is false} \\ \\
f(5)=71 \\ f(2)=8 \\ f(10)=3 \times 10^2-4=3 \times 100-4=300-4=296 \\
71 \times 8 \not= 296 \\
f(5) \times f(2) \not= f(10) \\
\hbox{statement 4 is false}

Stamement 2. f(-2)=f(2) is true.
3 0
3 years ago
Zach is a shoe salesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certai
Alexandra [31]

Answer:

Zach earns $10 and for the pair of boots Zach earns $15

Step-by-step explanation:

Let be x the number of pairs of shoes

Let be y the number of pairs of boots

Then we can establish the following system of equations with the data of the statement:

5x + 9y = 185 \\7x + 9y = 205

We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:

7x+9y-5x-9y=205-185\\2x=20\\x=\frac{20}{2}\\x=10

For y replacing in the first equation the value of x and solving for y:

5.10 + 9y = 185\\9y=185-50\\y=\frac{135}{9}\\y=15

So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15

Please mark be as brainliest if you found this helpful. please

7 0
2 years ago
When is it better to use a $20 off coupon? When is it better to use a 20% coupon? *
jasenka [17]

It It better to use a $20 off coupon on small items, and a 20% off coupon on bigger items to get much more money off of your purchase

6 0
3 years ago
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