Answer:
6/9
Step-by-step explanation:
So the points show a linear function, meaning that since they make a line, if you have just one x or y coordinate, you're able to find out the other one by looking at the graph. At the first point, there are 4 apples and 6 oranges. If we write this as a ratio of apples to oranges in fraction form, it would be 4/6. This can be simplified to 2/3, which is also known as the slope, and is going to be the same for all of the points on the line, so we can use this to check our answer. If he makes a basket with 6 apples, we use the ratio we found earlier to find how many oranges he'd have. We set it up like this: 6/x=2/3. Then we multiply 6 and 3 (=18), and divide by 2 (=9). So the number of oranges is 9, written as a fraction is 6/9.
Let the number = x
Then, it would be: (x*36)/100 = 108
x*36 = 10800
x = 10800/36
x = 300
108 is 36 percent of the number 300.
Use a proportion to proceed to find the number.
A proportion is an equation that shows two ratios are equivalent.
In this case, we want to find the number that 108 is 36% of.
Write this proportion as:
108/x = 36/100
Here,
x represents the unknown number that we want to find.
Simplify this proportion by cross-multiplying:
(108)( 100) = 36x
Simplifying further, we get:
x = (10800)/36
x = 300
Therefore, 108 is 36% of 300.
Hence, the required number is 300.
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A.x < 3
B.x > –3
C.x < –3
D.x > 3
Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
Answer: 45 pounds
Step-by-step explanation:
Given: The force of gravity on the moon is approximately one sixth that of the earth. The direct variation formula for weight on the earth compared to weight on the moon would be , where e = weight on the earth and m = weight on the moon.
The approximate weight of space suit on earth=90 pounds
The weight of man on earth=180 pounds
Therefore, the total weight of the man with space suit (e)=
Substitute the value of e in the given formula , we get
Hence, the weight of a 180 pound man wearing a space suit on the moon = 45 pounds
Answer:
Sistema de ecuaciones:
x+y= 16
24x+19y=339
Respuesta:
x=7, y=9
Step-by-step explanation:
Con la información del enunciado puedes plantear las siguientes ecuaciones:
x= cantidad de calcetas blancas
y= cantidad de calcetas negras
x+y= 16 (1)
24x+19y=339 (2)
Para resolver las ecuaciones, debes iniciar despejando x en 1:
y=16-x (3)
Después, debes reemplazar (3) en (2) y despejar x para encontrar su valor:
24x+19(16-x)=339
24x+304-19x=339
5x=339-304
x=35/5
x=7
Luego, puedes reemplazar el valor de x en (3) para encontrar y:
y=16-x
y=16-7
y=9
De acuerdo a esto, x= 7, y=9.