The sum of 5 consecutive integers is 505.
What is the fifth number in this sequence?

Answers

Answer 1

Answer:

103

Step-by-step explanation:

99+100+101+102+103=505

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Can someone may help me with solving system of solving equations plzA small soda costs $0.45 and a large soda costs $0.65. 35 sodas were sold for a total of $18.55. How many of each size soda were sold?

Answers

let number of small sodas sold be x
# of large sodas sold be y
so
x + y =35
x=35 - y {equation1}
now next equation
0.65x + 0.45y = 18.55 { divide all by 0.50}
1.3x + 0.9y = 37.1 { put x = 35 - y (from eq 1)}
1.3 (35 - y) +0.9y = 37.1
45.5 - 1.3y + 0.9y = 37.1 {subtract 45.5 from both sides}
-0.4y = -8.4 { divide both by -0.4}
y = 21
so #of large sodas sold is 21
# of small sodas sold is 35 -21 = 14

8|x-6|-9=4

solve for x

Answers

$8|x-6|-9=4 \n \n 8|x - 6| = 4 + 9 \n \n 8|x - 6| = 13 \n \n |x - 6| = (13)/(8) \n \n ----- \n \n x - 6 = (13)/(8) \n \n x = (13)/(8) + 6 \n \n x = (61)/(8) \n \n ----- \n \n -x + 6 = (13)/(6) \n \n 6 - x = (13)/(8) \n \n -x = (13)/(8) - 6 \n \n -x = - (35)/(8) \n \n x = (35)/(8) \n \n ----- \n \n x = (35)/(8) , (61)/(8) \n \n$

The answer is: x = 35/8 and x = 61/8.

Twice the sum of 15 and a number

Answers

That can be expressed as, assuming x is the number, 2(x+15).

15 x 2 = 30 if thats what you're looking for

lius has 5 over 8 quart of grape juice he pours the same amount in each 5 glasses which equation represents the fraction of a quart of grape juice n that is in each glass

Answers

so we have to divide 5/8 into 5 equal segments.

5 5
-- ÷ ---
8 1

in order to divide fractions we need to flip the second fraction and change the sign from a divition sign to a multiplication sign

5 1 5
-- × --- = ---
8 5 40

now we just simplify 5/40 is equal to 1/8

each glass gets 1/8 of a quart

Divide the fractions and simplify the answers 1/2÷5/8

Answers

CORRECT ANSWER: 4/5
CORRECT SOLUTION: 1/2 × 8/5= 8/10 (÷2) = 4/5
1. (turn the second fraction upside down or the other way around) (this is called the reciprocal)
2. now you can use multiplication instead of division

that answer above is correct if your wondering i did the work myself and so is his explanation. i would probly say the same thing lol but all in all the answer is 4/5 and that is the most you can simplify it :)

If <8m 23 find the measure of each missing angle