Which of the following rational numbers is equal to 3 point 4 with bar over 4 ? (5 points)
31 over 9 , 32 over 9 , 33 over 9 , 34 over 9
31 over 9
32 over 9
33 over 9
34 over 9
11 answers
32 over 9
Tanisha opened a bank account. She deposited $74.50 into her account every month for 10 months. She used $32.50 every month to pay for painting classes. After 10 months, she used 1 over 2 of the total money left in her account to go to a summer camp for painters. What is the total amount of money Tanisha spent to go to the summer camp? (5 points)
$210.00
$325.00
$420.00
$840.00
$210.00
$325.00
$420.00
$840.00
The total amount of money Tanisha deposited into her account is $74.50 x 10 = $<<74.50*10=745.00>>745.00.
The total amount of money Tanisha spent on painting classes is $32.50 x 10 = $<<32.50*10=325.00>>325.00.
The total amount of money left in her account after paying for painting classes is $745.00 - $325.00 = $<<745.00-325.00=420.00>>420.00.
Therefore, Tanisha spent 1/2 x $420.00 = $<<420.00/2=210.00>>210.00 to go to the summer camp.
The correct answer is $210.00.
The total amount of money Tanisha spent on painting classes is $32.50 x 10 = $<<32.50*10=325.00>>325.00.
The total amount of money left in her account after paying for painting classes is $745.00 - $325.00 = $<<745.00-325.00=420.00>>420.00.
Therefore, Tanisha spent 1/2 x $420.00 = $<<420.00/2=210.00>>210.00 to go to the summer camp.
The correct answer is $210.00.
Peter earned $180 working at a store during the summer months. He bought 4 books worth $12 each from his earnings at the store. How much money was left after he bought the books? (5 points)
$33
$42
$132
$228
$33
$42
$132
$228
Peter spent 4 books x $12/book = $<<4*12=48>>48 on books.
Therefore, the amount of money left after buying the books is $180 - $48 = $<<180-48=132>>132.
The correct answer is $132.
Therefore, the amount of money left after buying the books is $180 - $48 = $<<180-48=132>>132.
The correct answer is $132.
Rohan did a survey in four bird parks and wrote the following observations:
Bird Park Survey
Park Number of Yellow Birds Total Number of Birds
P 33 53
Q 20 48
R 54 90
S 44 83
Based on the survey, which park had the greatest percentage of yellow birds? (5 points)
Park P
Park Q
Park R
Park S
Bird Park Survey
Park Number of Yellow Birds Total Number of Birds
P 33 53
Q 20 48
R 54 90
S 44 83
Based on the survey, which park had the greatest percentage of yellow birds? (5 points)
Park P
Park Q
Park R
Park S
To determine the park with the greatest percentage of yellow birds, we need to calculate the percentage of yellow birds for each park.
For Park P, the percentage of yellow birds is (33/53) x 100% = 62.26%.
For Park Q, the percentage of yellow birds is (20/48) x 100% = 41.67%.
For Park R, the percentage of yellow birds is (54/90) x 100% = 60%.
For Park S, the percentage of yellow birds is (44/83) x 100% = 53.01%.
Therefore, the park with the greatest percentage of yellow birds is Park P with 62.26%.
The correct answer is Park P.
For Park P, the percentage of yellow birds is (33/53) x 100% = 62.26%.
For Park Q, the percentage of yellow birds is (20/48) x 100% = 41.67%.
For Park R, the percentage of yellow birds is (54/90) x 100% = 60%.
For Park S, the percentage of yellow birds is (44/83) x 100% = 53.01%.
Therefore, the park with the greatest percentage of yellow birds is Park P with 62.26%.
The correct answer is Park P.
Eric surveyed 40 students at his school and found that 0.65 of the students he surveyed said their favorite class is math. Another 35% of the students he surveyed reported that their favorite class is science. How many more students in the survey prefer math over science? (5 points)
14
26
12
40
14
26
12
40
0.65 of 40 students is 0.65 x 40 = 26 students who said their favorite class is math.
35% of 40 students is 35/100 x 40 = 14 students who said their favorite class is science.
Therefore, there are 26 - 14 = 12 more students who prefer math over science.
The correct answer is 12.
35% of 40 students is 35/100 x 40 = 14 students who said their favorite class is science.
Therefore, there are 26 - 14 = 12 more students who prefer math over science.
The correct answer is 12.
Solve negative 8 over 5, the whole multiplied by x minus 6 equals negative 54 . (5 points)
15
30
57
77
15
30
57
77
To solve the equation, we can start by isolating the variable x.
Negative 8/5 multiplied by (x - 6) equals -54.
We can begin by distributing -8/5 to both terms inside the parentheses:
(-8/5)(x) - (-8/5)(6) = -54.
Simplifying this expression gives us:
(-8/5)x + 48/5 = -54.
Next, we can subtract 48/5 from both sides of the equation:
(-8/5)x = -54 - 48/5.
To combine the terms on the right side of the equation, we can find a common denominator:
(-8/5)x = -270/5 - 48/5.
Simplifying the right side further:
(-8/5)x = -318/5.
To solve for x, we divide both sides of the equation by -8/5:
x = (-318/5) / (-8/5).
Simplifying this division of fractions:
x = (-318/5) * (-5/8).
Now, cancel out the common factors of 5:
x = -318/8.
Further simplifying:
x = -159/4.
Therefore, the solution to the equation is x = -159/4.
The correct answer is -159/4.
Negative 8/5 multiplied by (x - 6) equals -54.
We can begin by distributing -8/5 to both terms inside the parentheses:
(-8/5)(x) - (-8/5)(6) = -54.
Simplifying this expression gives us:
(-8/5)x + 48/5 = -54.
Next, we can subtract 48/5 from both sides of the equation:
(-8/5)x = -54 - 48/5.
To combine the terms on the right side of the equation, we can find a common denominator:
(-8/5)x = -270/5 - 48/5.
Simplifying the right side further:
(-8/5)x = -318/5.
To solve for x, we divide both sides of the equation by -8/5:
x = (-318/5) / (-8/5).
Simplifying this division of fractions:
x = (-318/5) * (-5/8).
Now, cancel out the common factors of 5:
x = -318/8.
Further simplifying:
x = -159/4.
Therefore, the solution to the equation is x = -159/4.
The correct answer is -159/4.