4.)Karen’s ice cream shop has 4 more than 2 times as many flavors as Jim’s ice cream shop. Together they have 34 flavors. Solve the equation x + 2x + 4 = 34 to find the number of flavors at Karen’s ice cream shop.
a)10 flavors
b)24 flavors
c)14 flavors
d)20 flavors
6.)Jenny rented a car for $119.00 plus $0.23 per mile. The total bill at the end of his trip was $177.88. Use the equation 119 + 0.23x = 177.88 to find the number of miles he drove.
a)1,291 miles
b)59 miles
c)256 miles
d)14 miles
7.)Sheila leaves on a trip driving at a steady rate of 30 miles per hour. Her sister Allison leaves from the same location traveling to the same destination 1 hour later, driving at a steady rate of 45 miles per hour. How long after Allison leaves home will she catch up to Sheila?
a)5 hours
b)4 hours
c)3 hours
d)2 hours
10.)Jordan invested $1,000.00 in a savings account. The interest rate is 6% per year. Find the simple interest earned in 4 years. Then find the total of principal plus interest.
a)$24,000.00; $25,000.00
b)$60.00; $1,060.00
c)$262.48; $1,262.48
d)$240.00; $1,240.00
11.)You deposit $500.00 in an account that earns 5% compounded annually (once per year). What is the balance in your account after 5 years? Round your answer to the nearest cent.
a)$2,625.00
b)$625.00
c)$886.89
d)$638.14
12.)The equation i = 0.3937c gives the relationship between i inches and c centimeters. Express 16 centimeters in inches. Round your answer to the nearest thousandth.
a)6.299 inches
b)0.025 inches
c)62.992 inches
d)5.906 inches
13.)A field is to be fertilized at a cost of $0.08 per square yard. The rectangular part of the field is 95 yards long and the diameter of each semicircle is 49 yards. Find the cost of fertilizing the field. Use 3.14 for pi.
a)$3,923.87
b)$420.42
c)$975.53
d)$523.18
14.) Combine like terms.(-5a^2+11a-4)+(6a^2-4a-2)
a)a^2+7a-6
b)11a^2+15a-2
c) a^2-7a-6
d)11a^2+7a+7
*Please show work and help me I have less than 24 hours to complete. Please help me as soon as possible I am stuck on these questions and my grade is at risk if I past this assignment than I get a passing grade. Please help me as soon as possible I will be checking in as much as I can*
If you don't know how to solve most of these problems, then you're not ready for algebra. I recommend you take pre-algebra again to learn how to do these problems.
4.) Karen’s ice cream shop has 4 more than 2 times as many flavors as Jim’s ice cream shop. Together they have 34 flavors. Solve the equation x + 2x + 4 = 34 to find the number of flavors at Karen’s ice cream shop.
To solve the equation, we can simplify it:
x + 2x + 4 = 34
3x + 4 = 34
3x = 34 - 4
3x = 30
x = 30 / 3
x = 10
Therefore, the number of flavors at Karen’s ice cream shop (x) is 10.
The answer is option a) 10 flavors.
6.) Jenny rented a car for $119.00 plus $0.23 per mile. The total bill at the end of her trip was $177.88. Use the equation 119 + 0.23x = 177.88 to find the number of miles she drove.
To solve the equation, we can simplify it:
119 + 0.23x = 177.88
0.23x = 177.88 - 119
0.23x = 58.88
x = 58.88 / 0.23
x ≈ 256
Therefore, Jenny drove approximately 256 miles.
The answer is option c) 256 miles.
7.) Sheila leaves on a trip driving at a steady rate of 30 miles per hour. Her sister Allison leaves from the same location traveling to the same destination 1 hour later, driving at a steady rate of 45 miles per hour. We need to find how long after Allison leaves home will she catch up to Sheila.
Let's assume the time it takes for Allison to catch up to Sheila is t hours. During this time, Sheila travels for (t+1) hours.
Since distance = rate × time, we have the following equation:
30(t+1) = 45t
30t + 30 = 45t
30 = 45t - 30t
30 = 15t
t = 30 / 15
t = 2
Therefore, Allison will catch up to Sheila 2 hours after she leaves home.
The answer is option d) 2 hours.
10.) Jordan invested $1,000.00 in a savings account. The interest rate is 6% per year. We need to find the simple interest earned in 4 years, and then find the total of principal plus interest.
To find the simple interest earned in 4 years, we use the formula:
Simple Interest = Principal × Rate × Time
In this case, the principal is $1,000.00, the interest rate is 6%, and the time is 4 years:
Simple Interest = $1,000.00 × 0.06 × 4 = $240.00
Therefore, the simple interest earned in 4 years is $240.00.
To find the total of principal plus interest, we add the simple interest to the principal:
Total = Principal + Simple Interest
Total = $1,000.00 + $240.00 = $1,240.00
Therefore, the total of principal plus interest is $1,240.00.
The answer is option d) $240.00; $1,240.00.