Answer:
x/2 + 21 = 36
First we get rid of constants to isolate the variable.
In order to do that we must do the inverse operation.
Inverse operation of addition is subtraction.
-21 -21(subtracting 21 from both sides, whatever we do to the left side we do it to the right side too)
x/2 = 15
inverse property of division is multiplication
x2 x2
X = 30
Answer:
Step-by-step explanation:
Since the ratio is 4x:4x:7x, if we add all those numbers up we get 15. Then we do 75/15 to get what x equals. So we get 5. So x equals 5. Following the rules of multiplication, you do 4(5):4(5):7(5), and simplifying that further, you get 20:20:35. If we add all those values up, we should get 75, and we do!
If you're wondering why I did 4x:4x:7x instead of 4:4:7, it's because a ratio is just a...well ratio? It's easier to visualize if you put a variable because the variable could be anything, and you would have to multiply all the given values to get the same proportions. In summery, I did it so it was easier to visualize
Answer:
C. 1307 ft
Step-by-step explanation:
Given:
Angle = 48.4 degrees
Height, opposite side= 1472 feet
his distance from the Empire State Building, base=x
Now as per the trigonometric ratios:
Tan∅= Opposite/base
tan(48.4)= 1472/x
x=1472/(1.13)
x=1302.65
his distance from the Empire State Building is 1302.65 feet!
Answer:
20 carrots
Step-by-step explanation:
4/10
x/50
10 x 5 = 50
4 x 5 = x
x = 20
20/50
<h3>
Answer: 6 ounces</h3>
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Work Shown:
(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)
6/4 = 8/x
6*x = 4*8
6x = 32
x = 32/6
x = 5.333 approximately
x = 6 we round up despite 5.333 being closer to 5, than it is to 6.
If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.
The section below goes over why this is the case in more detail.
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6 servings : 4 ounces
6/4 servings : 4/4 ounces
1.5 servings : 1 ounce
So one ounce of sauce gets us 1.5 servings.
If we multiply both sides by 5, then,
1.5 servings : 1 ounce
5*1.5 servings : 5*1 ounce
7.5 servings : 5 ounces
This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.
If we multiplied both sides by 6, then
1.5 servings : 1 ounce
6*1.5 servings : 6*1 ounce
9 servings : 6 ounces
This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.
