Answer:(a=5,b=3)
7a-3b = 26--------(1)
a + 2b =11---------(2)
on mutlplying by7 in eq 2
= 7a+14b=77-------(3)
from eq(1) and (3) (on substracting)
7a+14b=77
7a-3b=26
________
=-17b=51
b=51/17
b=3
on putting value of b in eq 1
7a-3b = 26
=7a-9=26
7a=35
a=5
Step-by-step explanation:
hope it helps
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Divide 22 by 2 sevenths; 22 / (2/7) = 77
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
Answer: jason has 10 dimes and 5 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes that he has.
Let y represent the number of quarters that he has.
He has twice as many dimes as quarters. This means that
x = 2y
Jason has $2.25 worth of dimes and quarters. This means that
0.1x + 0.25y = 2.25 - - - - - - - - - - - 1
Substituting x = 2y into equation 1, it becomes
0.1 × 2y + 0.25y = 2.25
0.2y + 0.25y = 2.25
0.45y = 2.25
y = 2.25/0.45
y = 5
x = 2y = 2 × 5
x = 10
which is the question? (4/3)^2 is 16/9
