Hello :
<span>x + 3y = 7....(1)
2x + 4y = 8....(2)
</span>by (1) : x= 7-3y
<span>Substitute in (2) : 2(7-3y)+4y =8
</span>14-6y +4y =8
-2y =-6
y =3
x =7-3(3)
x = -2
<span>Write the solution as an ordered pair:(-2 ,3 )
</span>
Answer:
.64 < 65 % < 2/3 < 7/10
Step-by-step explanation:
To order all the numbers from least to greatest, but all the numbers in the same form (fraction, decimal, or percent). I will put them all in decimal form so that I can compare them.
0.64, .64
2/3 , =.666666repeating
65% = 65/100 = .65
7/10 = .7
.64< .65<.6666repeating<.7
but we need to put them in their original form
.64 < 65 % < 2/3 < 7/10
Answer:
- 0.25q +0.10d = 4.20
- q = 2d
Step-by-step explanation:
Let q represent the number of quarters, and d represent the number of dimes.
0.25q +0.10d = 4.20 . . . . . the value of the coins
q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.
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<em>Additional comment</em>
Using substitution, the equation simplifies to ...
0.60d = 4.20
d = 7
q = 14
Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.
Answer:
2.4 inches
Step-by-step explanation:
Actual Dimension of bedroom = 10' * 8'
In the model ; longer side = 3 inches
Length of shorter side in the model ;
Longer side of actual bedroom = 10'
Scale factor * length = model length
Scale factor * 10 = 3
Scale factor = 3/10
Hence, length of shorter side :
Scale factor * actual length of shorter side
3/10 * 8
24 / 10
= 2.4 inches
