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mnrtunes
18.10.2019 •
Mathematics
Brainlist and 30 points!
1. b) bill has 5 times as many baseball cards as fred. tim has 3 fewer than 4 times as many baseball cards as fred. in all, they have 167 baseball cards. how many does each have?
2. a) the length of a rectangle is 5 more than the width. the perimeter of the rectangle is 168 inches. find the dimensions of the rectangle.
b) the length of a rectangle is twice the width. if the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches. find the dimensions of the original rectangle.
3. a) john is now 3 times as old as his brother sam. in 5 years, john will be twice as old as sam will be then. find their present ages.
b) find four consecutive integers such that the sum of the second and the fourth is 132.
4. a) find four consecutive even integers such that twice the sum of the second and third exceeds 3 times the first by 32.
b) the difference between two numbers is 24. find the numbers if their sum is 88.
5. a) separate 60 into two parts so that 3 times the smaller added to 6 more than 6 times the smaller = 60.
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Ответ:
1.b)
Fred has F cards. Bill has B cards. Tim has T cards.
B + F + T = 167
B = 5F
T = 4F - 3
5F + F + 4F - 3 = 167
10F - 3 = 167
10F = 170
F = 17
Fred has 17 cards.
B = 5F = 5(17) = 85
Bill has 85 cards.
T = 4F - 3 = 4(17) - 3 = 65
Tim has 65 cards.
2.a)
length = L
width = W
L = W + 5
perimeter = 2L + 2W = 168
2L + 2W = 168
2(W + 5) + 2W = 168
2W + 10 + 2W = 168
4W = 158
W = 39.5
L = W + 5 = 39.5 + 5 = 44.5
Length = 44.5 inches
Width = 39.5 inches
2.b)
Original rectangle:
width = W
length = 2W
New rectangle:
width = W - 1
length = 2W + 4
perimeter = 198 inches
perimeter = 2L + 2W = 198
2(2W + 4) + 2(W - 1) = 198
4W + 8 + 2W - 2 = 198
6W + 6 = 198
6W = 192
W = 32
L = 2W = 64
width = 32 inches
length = 64 inches
3.a)
Now:
Sam's age = S
John's age = 3S
In 5 years:
John's age = 3S + 5
Sam's age = S + 5
3S + 5 = 2(S + 5)
3S + 5 = 2S + 10
S = 5
Sam's age is 5.
John's age is 15.
This is all I have time for now. Post the rest of the problems in a different post, and I'll try to help later.
Ответ:
The correct option is (a). (0, 4).
Step-by-step explanation: We are given to find the y-intercept of the following linear equation:
We know that the y-intercept of an equation will be a point where the value of the x-coordinate is zero.
Substituting x = 0 in equation (i), we have
Therefore, the y-intercept of the given equation is (0, 4).
Thus, option (a) is correct.