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enot [183]
3 years ago
13

The sum of two consecutive integers is no more than 209. What is the larger of the two integers?

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer:

105 is your answer

Step-by-step explanation:

Let the two consecutive integers be: x , x + 1

Set the equation

x + x + 1 = 209

Simplify. Combine like terms.

(x + x) + 1 = 209

2x + 1 = 209

Isolate the x. Note the equal sign, what you do to one side, you do to the other.

Subtract 1 from both sides

2x + 1 (-1) = 209 (-1)

2x = 209 - 1

2x = 208

Isolate the x. Divide 2 from both sides

(2x)/2 = (208)/2

x = 208/2

x = 104

------------------------------------------------------------------------------------------------------

Plug in 104 for x.

(x + 1) = (104) + 1 = 105

105 is your answer

~

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What is the minimum number of degrees a pentagon is rotated clockwise to carry onto itself?
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360÷5= 72°

In short, the answer will be 72°

Hope this helps!
6 0
3 years ago
You went to the mall with $80. You spend 25% of the money on shorts and 65% of the remainder on sandals. How much did the sandal
sukhopar [10]

25% of 80

25/100 or 1/4 x 80 = 20

So $20 were spent on shorts, then $60 were left over.

65% of 60 on sandals.

so 65/100 x 60 = 39

So we can see that the sandals cost $39.

7 0
3 years ago
Determine the quotient, q(x), and remainder, r(x) when
Vinvika [58]
ANSWER

Quotient:

q(x) = 4 {x}^{2} + 3x + 2

Remainder:

r(x) = 3x + 1

EXPLANATION

The given functions are

f(x) = 12 {x}^{4} + 21 {x}^{3} + 31 {x}^{2} + 21x + 9

and

g(x) = 3 {x}^{2} + 3x + 4

We want to find the remainder and quotient when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

q(x) = 4 {x}^{2} + 3x + 2

The remainder is

r(x) = 3x + 1

5 0
3 years ago
Four friends went to the movies each ticket cost $8 and each person bought popcorn and a soda for $5 how much did they spend in
Neporo4naja [7]
Answer: m = $52

Explanation:
Tickets (t) = $8
Popcorn & Soda (s)= $5
Friends = 4
Since all friends bought the same thing the equation will be set as
4(t +s) = m OR 4t +4s = m
Using substitution, you plug each variable
t = 8 and s = 5
4((8) + (5)) = m
4(8+5) = m => 4(13) =m => 52=m
OR
4(8) + 4(5) = m => 32 + 20 = m =>
52 =m
7 0
3 years ago
Solve the system of equations
nekit [7.7K]

Answer: x = 3 and y = 1

Step-by-step explanation:

y = - x + 4 ............... equation 1

y = x - 2 ............. equation 2

Solving the linear equation by substitution method , we have :

substitute equation 2 into equation 1 , that is

x - 2 = - x + 4

Add 2 to both sides , we have

x = -x + 4 + 2

Add x to both sides , we have

2x = 6

divide through by 2

x = 3

Substitute x = 3 into equation 2 to find the value of y , we have

y = x - 2

y = 3 - 2

y = 1

Therefore : x = 3 and y = 1

8 0
3 years ago
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