Which of the following is the value of x in the equation below?
4x- 3- 5x=24
-27
-6
3
21
Correct Answer : A
to solve for x, we order like terms together and proceed as follows:
4x-3-5x=24
Add 3 to both sides of the equation
4x-3+3-5x=24+3
4x+3-3-5x=27
4x-5x=27
-x=27
Divide both sides by -1
-x/-1=27/-1
x= -27
Thus, the unknown value of x is -27
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Related Questions
Correct Answer is D
Explanation
We solve the problem by first finding the amount of gallons needed for the whole trip then find the cost of the gallon.
The car uses 1 gallon to cover 25 miles, which is same as:
Now, in 3000 miles, the car will use how many gallons of gasoline?
A trip of 3000 miles will need 120 gallons. And to find the cost of 120 gallons, we proceed as follows:
The family will spend $199.20 to drive for 3000 miles.
Correct Answer is A
Explanation
to do a comparison of the given data set, we convert the fraction numbers into the approximate decimals.
4/3=1.333
2720=1.35
Now, we have 1.333, 1.35, 1.369, 1.357. These numbers are arranged from the smallest to the largest number, we look at the number in the second decimal place value
1.333 the number in second decimal place value is 3
1.35 the number in third decimal place value is 5
1.369 the number in third decimal place value is 6
1.357 the number in third decimal place value is 5
However, 1.35 and 1.357 have 5 in the second-place vale. We use the ird place value to compare the two number:
1.35 is same as 1.350 and the number in the third-place value is 0
1.357 the number in the third-place value is 7
Now, 0 is less than 7, and thus 1.35 is less than 1.357
Overall, 3 is less than 5, and 5 less than 6 and the provided numbers can be arranged from the smallest to the largest as:
1.333, 1.35, 1.357, 1.369
Thus, the corresponding given numbers organized from the smallest to the largest become:
4/3, 27/20, 1.357, 1.369
The greatest value is 1.369
Correct Answer is D
Explanation
Percentages always add up to 100%. If we let x be the percent of graduates working for jobs unrelated to law, then
74%+3%+2%+x=100%
79%+x=100%
Subtract 79% from both sides of the equation
79%-79%+x=100%
x=100%-79%
x=21%
So, the number of graduates working for jobs unrelated to law is 21%.
Correct Answer is D
Explanation
Here, the athlete runs 6 miles in 51 minutes, which can be expressed as:
Now, in 90 minutes, the athlete will cover about
Therefore, the athlete runs about 10.6 miles in 90 minutes.
Correct Answer is D
Explanation
Round trip means to and from, which is twice the distance from home to a medical facility.
In one day, the round trip=19+19=38 miles
So, in 22 days, the round trip=38*22=836 miles.
The patient will cover 836 miles in 22 days.
Correct Answer is B
Explanation
The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.
Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.
As you can see below, the Histogram is used to depict a pattern/continuous data. While a bar graph does just fine even with discrete data.
Correct Answer is D
Explanation
We convert the given weight in pounds to ounces and find total weight. 1 pound=16 ounces, which we interpret as
Or
Use the second option to convert pounds to ounces
Now, we can ounces to ounces as: 48 oz + 5 oz= 53 oz
Therefore, 3 pounds, 5 ounces is equal to 53 oz
Correct Answer is D
Explanation
A teaspoon can approximately hold 5 mL.
Although the capacity of a teaspoon could be more or less, choice D remains the most correct answer as the other choices have amounts too much for a small teaspoon.
Correct Answer is A
Explanation
A whole pizza is equivalent to 1. Then
One friend eats half of the pizza=1/2 of 1=1/2*1=1/2
Remaining amount of pizza to be shared=1-1/2=2/2-1/2=1/2
Now, three friends share ½ equally and each friend will get,
          Â
Thus, the three friends each share 1/6.
Correct Answer is C
Explanation
In this problem, to find one side of the square garden, we use the calculator to find the square root of 13. Thus
Thus, the approximate side of a square garden is about 3.6 ft
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