Red star- 10/17, likely
blue star- 7/17, likely
they're both likely, because the nominators are both about more than half of the denominator
The answers to each of the given problems are;
1) Sum of two smallest integers = 23
2) 3x + 6
3) 7.5 m/s²
<h3>How to find the sum of consecutive Integers?</h3>
1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;
x + (x + 1) + (x + 2) + (x + 3) + 20 = 70
4x + 26 = 70
4x = 70 - 26
4x = 44
x = 44/4
x = 11
Thus, sum of two smallest integers = 11 + 11 + 1 = 23
2) Let the consecutive odd numbers be;
x, (x + 2) and (x + 4)
Sum of these consecutive odd numbers is;
x + x + 2 + x + 4 = 3x + 6
3) We are given the equation to find the acceleration as;
(v_final)² - (v_initial)² = 2ad
We are given;
v_final = 40 m/s
v_initial = 10 m/s
d = 100 m
Thus;
40² - 10² = 2a(100)
1500 = 200a
a = 1500/200
a = 7.5 m/s²
Read more about sum of integers at; brainly.com/question/17695139
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The answer is d hope that helps
Answer:
-9/11
Step-by-step explanation:
slope is change in y/change in x
change in y is 9 (12-3)
change in x is -11 (-17--8)
slope is -9/11
Answer:
£850
Step-by-step explanation:
We can compute the left-over amount by comparing that to the amount spent.
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<h3>setup</h3>
Written as ratios, we have ...
spent : left-over = 3/8 : 1 -3/8 = 3/8 : 5/8 = 3 : 5
Writing this using fractions, we have ...
left-over / spent = 5 / 3
<h3>solution</h3>
Solving for left-over gives ...
left-over = spent × (5/3) = £510×5/3 = £850
Nate had £850 left over.
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<em>Additional comment</em>
Nate's money totaled £510 +850 = £1360.
The fraction spent is £510/£1360 = 3/8, as required.