To solve the inequality, we need to isolate the variable u.
To do this, we can subtract 13 from both sides of the inequality:
-9 - 13 ≤ u + 13 - 13
Simplifying,
-22 ≤ u
Therefore, the solution to the inequality is u ≥ -22.
Solve the inequality for u.
-9≤u+13
17 answers
Solve the inequality for v.
v-17<-13
v-17<-13
To solve the inequality, we need to isolate the variable v.
To do this, we can add 17 to both sides of the inequality:
v - 17 + 17 < -13 + 17
Simplifying,
v < 4
Therefore, the solution to the inequality is v < 4.
To do this, we can add 17 to both sides of the inequality:
v - 17 + 17 < -13 + 17
Simplifying,
v < 4
Therefore, the solution to the inequality is v < 4.
Jina drove her go-kart around a track 5 times. She drove a total of 7.5 kilometers.
(a)Let d be the distance around the track (in kilometers). Write an equation that can be used to find d. First choose an appropriate form. Then fill in the blanks with the letter d and the numbers 5 and 7.5.
(b)Solve your equation for d to find the distance around the track.
(a)Let d be the distance around the track (in kilometers). Write an equation that can be used to find d. First choose an appropriate form. Then fill in the blanks with the letter d and the numbers 5 and 7.5.
(b)Solve your equation for d to find the distance around the track.
(a) The appropriate equation to find d, the distance around the track, is:
d = (total distance driven) / (number of times around the track)
In this case, the total distance driven is 7.5 kilometers and the number of times around the track is 5. So, the equation becomes:
d = 7.5 / 5
(b) Solving the equation:
d = 7.5 / 5
d = 1.5 kilometers
Therefore, the distance around the track is 1.5 kilometers.
d = (total distance driven) / (number of times around the track)
In this case, the total distance driven is 7.5 kilometers and the number of times around the track is 5. So, the equation becomes:
d = 7.5 / 5
(b) Solving the equation:
d = 7.5 / 5
d = 1.5 kilometers
Therefore, the distance around the track is 1.5 kilometers.
An online seller's rating went down by . Now the seller's rating is .
(a)Let r be the seller's rating before it went down. Write an equation that can be used to find r. First choose an appropriate form. Then fill in the blanks with the letter r and the numbers 2.6 and 3.89.
(b)Solve your equation for r to find the seller's rating before it went down.
(a)Let r be the seller's rating before it went down. Write an equation that can be used to find r. First choose an appropriate form. Then fill in the blanks with the letter r and the numbers 2.6 and 3.89.
(b)Solve your equation for r to find the seller's rating before it went down.
(a) The appropriate equation to find r, the seller's rating before it went down, is:
r - decrease = final rating
In this case, the decrease is equal to 2.6 and the final rating is 3.89. So, the equation becomes:
r - 2.6 = 3.89
(b) Solving the equation:
r - 2.6 = 3.89
r = 3.89 + 2.6
r = 6.49
Therefore, the seller's rating before it went down was 6.49.
r - decrease = final rating
In this case, the decrease is equal to 2.6 and the final rating is 3.89. So, the equation becomes:
r - 2.6 = 3.89
(b) Solving the equation:
r - 2.6 = 3.89
r = 3.89 + 2.6
r = 6.49
Therefore, the seller's rating before it went down was 6.49.
Dante ordered some books online and spent a total of $75. Each book cost $6 and he paid a total of $3 for shipping. How many books did he buy?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 75, 6, and 3. Let represent the number of books.
(b) Solve the equation in part (a) to find the number of books.
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 75, 6, and 3. Let represent the number of books.
(b) Solve the equation in part (a) to find the number of books.
(a) The appropriate equation to answer the question is:
(cost per book * number of books) + shipping cost = total cost
In this case, the cost per book is $6, the shipping cost is $3, and the total cost is $75. So, the equation becomes:
(6 * n) + 3 = 75
where n represents the number of books.
(b) Solving the equation:
6n + 3 = 75
6n = 75 - 3
6n = 72
n = 72 / 6
n = 12
Therefore, Dante bought 12 books.
(cost per book * number of books) + shipping cost = total cost
In this case, the cost per book is $6, the shipping cost is $3, and the total cost is $75. So, the equation becomes:
(6 * n) + 3 = 75
where n represents the number of books.
(b) Solving the equation:
6n + 3 = 75
6n = 75 - 3
6n = 72
n = 72 / 6
n = 12
Therefore, Dante bought 12 books.
Miguel has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been saving?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 6, 90, and 48. Let w represent the number of weeks.
(b) Solve the equation in part (a) to find the number of weeks.
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 6, 90, and 48. Let w represent the number of weeks.
(b) Solve the equation in part (a) to find the number of weeks.
(a) The appropriate equation to answer the question is:
(total savings - amount spent) + remaining savings = (amount saved per week * number of weeks)
In this case, the amount saved per week is $6, the amount spent is $90, the remaining savings is $48, and we need to find the number of weeks represented by w. So, the equation becomes:
(6 * w) - 90 + 48 = 6w
(b) Solving the equation:
6w - 90 + 48 = 6w
-42 = 0
This equation has no solution, which means there is an inconsistency in the given information. It is not possible for Miguel to spend $90 and have $48 remaining if he has been saving $6 each week. Please double-check the given numbers or provide additional information to resolve the inconsistency.
(total savings - amount spent) + remaining savings = (amount saved per week * number of weeks)
In this case, the amount saved per week is $6, the amount spent is $90, the remaining savings is $48, and we need to find the number of weeks represented by w. So, the equation becomes:
(6 * w) - 90 + 48 = 6w
(b) Solving the equation:
6w - 90 + 48 = 6w
-42 = 0
This equation has no solution, which means there is an inconsistency in the given information. It is not possible for Miguel to spend $90 and have $48 remaining if he has been saving $6 each week. Please double-check the given numbers or provide additional information to resolve the inconsistency.
Miguel has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been saving?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 6, 90, and 48. Let represent the number of weeks.
(b) Solve the equation in part (a) to find the number of weeks.
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 6, 90, and 48. Let represent the number of weeks.
(b) Solve the equation in part (a) to find the number of weeks.
(a) The appropriate equation to answer the question is:
(total savings - amount spent) = (amount saved per week * number of weeks)
In this case, the amount saved per week is $6, the amount spent is $90, the remaining savings is $48, and we need to find the number of weeks represented by w. So, the equation becomes:
(6 * w) - 90 = 48
(b) Solving the equation:
6w - 90 = 48
6w = 48 + 90
6w = 138
w = 138 / 6
w = 23
Therefore, Miguel has been saving for 23 weeks.
(total savings - amount spent) = (amount saved per week * number of weeks)
In this case, the amount saved per week is $6, the amount spent is $90, the remaining savings is $48, and we need to find the number of weeks represented by w. So, the equation becomes:
(6 * w) - 90 = 48
(b) Solving the equation:
6w - 90 = 48
6w = 48 + 90
6w = 138
w = 138 / 6
w = 23
Therefore, Miguel has been saving for 23 weeks.
Multiply.
-6x^5(-3x)
-6x^5(-3x)
To multiply -6x^5 and -3x, we can combine the coefficients and add the exponents:
(-6)(-3) = 18
x^5 * x = x^6
So, the product is 18x^6.
(-6)(-3) = 18
x^5 * x = x^6
So, the product is 18x^6.
Multiply.
-u^6(-7u^6)
-u^6(-7u^6)
To multiply -u^6 and -7u^6, we can combine the coefficients and add the exponents:
(-1)(-7) = 7
u^6 * u^6 = u^12
So, the product is 7u^12.
(-1)(-7) = 7
u^6 * u^6 = u^12
So, the product is 7u^12.