The answer is B because 674.30 divided by 306.5 equals 2.2 or $2.20
Answer:
1/45 ≈ 0.022
Step-by-step explanation:
There are originally 10 juice boxes in the cooler, 2 of which are grape.
The probability that the first juice box is grape is 2/10.
The probability that the second juice box is grape is 1/9.
The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.
If the ratio is 5:7 then the each part has a value of:
60/(5+7)=5 so from a total of 60
5:7 becomes 5*5:7*5 which is:
25:35
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
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</em>
Answer:
y=3/4m
Step-by-step explanation:
All proportional relationships have the form y=mx where m is the rate of change from the families donations x to the business donations y. We can find the rate of change m by substituting values we already know. We know when x=$12 then y=$9.
9=m*12
We solve for m by dividing by 12 on both sides.
m=9/12
This simplifies to 3/4 so
m=9/12=3/4.
The equation is y=3/4m
