From Monday..Can you check the following problems, please?
1. If the ratios for microphones to karaoke machines are all equivalent, how can you find the value of x?
table:
microphones 3 9 15 36
karoke 1 3 x 12
Ans: x=5 (because divide each ratio by 3)
2 There are 32 students in Mr. Santana's class, but only 8 computers. What is the ratio of students to computers in simplest form?
Ans: 32:8 = 32/8 = 4students to 1computer
3. Solve for x.
12/20 = x/15
20x=12*15
20x = 180
x = 180/20
x =9
4. A Boeing 747 can carry up to 105 tons. What is the maximum weight in pounds if one tone is equivalent to 2000 pounds?
1ton:2000lbs
105tons*(2000lbs/1ton)
210,000 lbs
5.45 is what percent of 90?
45/90 = x/100
90x= 45*100
90x=4500
x=4500/90
x=50%
6. Miss John's favorite animal is the pig. If she collects 13 pig figurines in 4 years, then how many will she collect in 12 years?
13/4yr = x/12yrs
x=3*13 (or 4x=13*12,4x=156,x=156/4,x=39)
x=39 pigs
Thanks
All are correct, but I don't know why you should use 3*13 for the last one.
I believe all of them are correct.
problem soving writing explain
1. To find the value of x in the given ratios for microphones to karaoke machines, you can compare the ratios of the two given sets of numbers. In this case, you have:
Microphones: 3, 9, 15, 36
Karaoke: 1, 3, x, 12
To make the ratios equivalent, you can divide each number in the microphones set by the corresponding number in the karaoke set. By dividing each number by 3, you get the following ratios:
Microphones: 3/3, 9/3, 15/3, 36/3
Karaoke: 1/3, 3/3, x/3, 12/3
Simplifying the fractions, you get:
Microphones: 1, 3, 5, 12
Karaoke: 1/3, 1, x/3, 4
Since the ratios are equivalent, you can deduce that x/3 is equal to 5. Solving for x, you can multiply both sides of the equation by 3:
(x/3) * 3 = 5 * 3
x = 15
Therefore, the value of x is 15.
2. To find the ratio of students to computers in simplest form, you need to divide the number of students by the number of computers. In this case, there are 32 students and 8 computers:
Ratio = 32/8
Simplifying the ratio, you get:
Ratio = 4/1
Therefore, the ratio of students to computers in simplest form is 4:1.
3. To solve for x in the equation 12/20 = x/15, you can cross-multiply. Multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa:
20 * x = 12 * 15
Simplifying the equation, you get:
20x = 180
To isolate x, divide both sides of the equation by 20:
x = 180/20
x = 9
Therefore, x is equal to 9.
4. To find the maximum weight in pounds for a Boeing 747, you need to convert the given weight in tons to pounds. Since one ton is equivalent to 2000 pounds, you can multiply the number of tons by 2000:
Weight in pounds = 105 tons * 2000 pounds/ton
Weight in pounds = 210,000 pounds
Therefore, the maximum weight in pounds for a Boeing 747 is 210,000 pounds.
5. To find what percent 45 is of 90, you can set up a proportion. Let x represent the unknown percentage. You have:
45/90 = x/100
To solve for x, cross-multiply:
90 * x = 45 * 100
Simplifying the equation, you get:
90x = 4500
To isolate x, divide both sides of the equation by 90:
x = 4500/90
x = 50
Therefore, 45 is 50% of 90.
6. To determine how many pig figurines Miss John will collect in 12 years, you can set up a proportion based on the given information. Let x represent the number of figurines she will collect. You have:
13/4 = x/12
To solve for x, cross-multiply:
4 * x = 13 * 12
4x = 156
To isolate x, divide both sides of the equation by 4:
x = 156/4
x = 39
Therefore, Miss John will collect 39 pig figurines in 12 years.