Answer:
74: sodas, 32: hot dogs
Step-by-step explanation:
106=(x-42)+x
106-x= x-42
-2x =-148
x=74 sodas
106-74= 32 hotdogs
9514 1404 393
Answer:
11.7
Step-by-step explanation:
GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.
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The distance formula is used for this:
d = √((x1 -x1)² +(y2 -y1)²)
d = √((-4-2)² +(-3-7)²) = √(36 +100)
d = √136 ≈ 11.7
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Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.
The distributive property: a(b + c) = ab + ac
(x - 3)(4x + 2) = (x)(4x + 2) + (-3)(4x + 2)
= (x)(4x) + (x)(2) + (-3)(4x) + (-3)(2) = 4x² + 2x - 12x - 6
<h3>= 4x² - 10x - 6</h3>
Answer:
1/6 serving
Step-by-step explanation:
1 SERVING = 3/2 OUNCES
x = 1/4 OUNCES
<u>CROSS MULTIPLY.</u>
1 * 1/4 ( serving * ounces) = x * 3/2 (ounces)
<u>REARRANGE, THEN DIVIDE BOTH SIDES BY </u><u>3/2 OUNCES</u><u> TO MAKE </u><u>x </u><u>THE SUBJECT.</u>
x * 3/2 (ounces) = 1 * 1/4 ( serving * ounces)
[x * 3/2 (ounces)] / 3/2 OUNCES = [1 * 1/4 ( serving * ounces)] / 3/2 OUNCES
x = (1/4) / (3/2) SERVING
x = 1/4 * 2/3 (serving)
x = 1/2 * 1/3 (serving)
x = 1/6 serving
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In the case that you presented, the ratio is
50/100 = (x1)^2 / (x2)^2
1/2 = (x1)^2 / (x2)^2
x1 : x2 = 1 : √2
^2 means squared
