admin

2 months ago

Guest #893

2 months ago

Hello!

You want to know how much she can do in 180 minutes

She can do an oil change in 15 minutes

She can do a tire change in 18 minutes

Based on this information you can make the inequality

The answer is

Hope this helps!

You want to know how much she can do in 180 minutes

She can do an oil change in 15 minutes

She can do a tire change in 18 minutes

Based on this information you can make the inequality

The answer is

Hope this helps!

Guest #894

2 months ago

15x + 18y ≤ 180

It's at most 180 minutes so left side is 'less than or equal to 180'.

It's at most 180 minutes so left side is 'less than or equal to 180'.

Question

A survey of 1,000 people was done by New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people knew the name of the Congressman?

Solution 1

The answer is 20% of the 1000 people, as 100%-80%+20%. 1000 times 0.2 equals 200 people that knew the name.

Question

What is the exact area of a circle having the diameter of 6in A:9 pie B: 36pie C: 6 pi D: 3pie

Solution 1

Area of circle = pi r^2

r = 6/2 = 3

so

A = pi (3)^2 = 9pi

answer

A. 9 pi

r = 6/2 = 3

so

A = pi (3)^2 = 9pi

answer

A. 9 pi

Question

A pie takes 2/3 of an hour to bake if a pie is put into the oven at 7:30 at what time does it need to be taken out.

Solution 1

Convert hour to minutes:

2/3 hours = 2/3 x 60 = 40 mins

30 mins 10 mins

|-----------------------------|--------------------------------|

7.30 8.00 8.10

**Answer: 8:10**

2/3 hours = 2/3 x 60 = 40 mins

30 mins 10 mins

|-----------------------------|--------------------------------|

7.30 8.00 8.10

Solution 2

You would have to take the pie out at 8:10, because 2/3 of an hour is 40 minutes. To make the addition of time easier break it up into bits, like for here you could say, 7:30 plus 30 minutes out of the 40 is 8:00 then you could just add the extra ten minutes afterwords!

Hope this helps, have a good day!

Hope this helps, have a good day!

Question

A rectangular pentagon has an apothem of

Solution 1

3.2m and an area of 37.2 m2.

Hope this helped a little.

Hope this helped a little.

Question

Simplify (2x + 3)(x – 4) = ?

Solution 1

Solutions

1) Equation

⇒ (2x+3)(x−4)

⇒(2x+3)(x+−4)

⇒(2x)(x)+(2x)(−4)+(3)(x)+(3)(−4)

⇒2 −8x+3x−12

⇒2 −5x−12

Answer - 2 −5x−12

1) Equation

⇒ (2x+3)(x−4)

⇒(2x+3)(x+−4)

⇒(2x)(x)+(2x)(−4)+(3)(x)+(3)(−4)

⇒2 −8x+3x−12

⇒2 −5x−12

Answer - 2 −5x−12

Question

How much does your employer pay into the Social Security system on your behalf? A - 4.2 percent
B - 8.4 percent
C - 6.2 percent
D - 12.4 percent

Solution 1

Workers pay an average of 6.2 percent which is 127,000 a year. But employers pay a matching amount for a combined contribution of 12.4 percent of earnings.

Meaning you are either getting**6.2** percent for being a **WORKER.**

or getting**12.4** percent for being a **EMPLOYER.**

In this question you are looking for employer**so the answer is 12.4**

** **

Meaning you are either getting

or getting

In this question you are looking for employer

Solution 2

**Answer:**

In this question you are looking for employer** so the answer is 12.4**

Question

Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4. A) 5 B) 7 C) 19 D) 23 2) Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10. A) -10 B) -34 C) -38 D) -106 3) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1. A) 5 B) 6 C) 48 D) 96

Solution 1

We know that

Part a) Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4

t1=3

t2=t1+4----> 3+4-----> 7

t3=t2+4-----> 7+4----> 11

t4=t3+4-----> 11+4---> 15

t5=t4+4-----> 15+4---> 19

**the answer Part a) is 19**

Part b) Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10

we know that

tn=t1+(n-1)*d-----> d=[tn-t1]/(n-1)

t1=2

t4=-10

n=4

find the value of d

d=[-10-2]/(4-1)-----> d=-12/3----> d=-4

find the tenth term (t10)

t10=t1+(10-1)*(-4)----> t10=2+9*(-4)----> t10=-34

**the answer Part b) is -34**

Part c) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1

t1=3

t2=2*t1----> 2*3----> 6

t3=2*t2----> 2*6----> 12

t4=2*t3-----> 2*12---> 24

t2=2*t4----> 2*24----> 48

**the answer Part c) is 48**

Part a) Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4

t1=3

t2=t1+4----> 3+4-----> 7

t3=t2+4-----> 7+4----> 11

t4=t3+4-----> 11+4---> 15

t5=t4+4-----> 15+4---> 19

Part b) Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10

we know that

tn=t1+(n-1)*d-----> d=[tn-t1]/(n-1)

t1=2

t4=-10

n=4

find the value of d

d=[-10-2]/(4-1)-----> d=-12/3----> d=-4

find the tenth term (t10)

t10=t1+(10-1)*(-4)----> t10=2+9*(-4)----> t10=-34

Part c) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1

t1=3

t2=2*t1----> 2*3----> 6

t3=2*t2----> 2*6----> 12

t4=2*t3-----> 2*12---> 24

t2=2*t4----> 2*24----> 48

Question

You pick a card at random. Without putting the first card back, you pick a second card at random. [1] [2] [3]
What is P(3, greater than 2)? Write your answer as a percentage.

Solution 1

Probability of first getting a 3 = 4/52 = 1/13

The p(getting >2) = probability of getting one of the remaining 3's or 40 other cards ( Im taking the aces to be low value) = 43/51

Required probability = 1/13 * 43/51 = 43/663

If aces are counted high it will be 1/13 * 47/51 = 47/531

=

The p(getting >2) = probability of getting one of the remaining 3's or 40 other cards ( Im taking the aces to be low value) = 43/51

Required probability = 1/13 * 43/51 = 43/663

If aces are counted high it will be 1/13 * 47/51 = 47/531

=

Question

Kristin decides to spend at most $50 for a birthday dinner at a restaurant, including a 15% tip., Write an inequality in one variable to represent this situation.
What is the most that her meal can cost before a tip?

Solution 1

Let

x------------> a birthday dinner at a restaurant, including a 15% tip.

we know that

Kristin decides to spend at most $50

so

x <= $50

**the answer part a) is**

**x <= 50**

Part b) What is the most that her meal can cost before a tip?

the tip is 15%

so

cost after tip=1.15*cost before a tip

cost before a tip=cost after tip/1.15

50/1.15-------> $43.48

**the answer part b) is **

**$43.48**

x------------> a birthday dinner at a restaurant, including a 15% tip.

we know that

Kristin decides to spend at most $50

so

x <= $50

Part b) What is the most that her meal can cost before a tip?

the tip is 15%

so

cost after tip=1.15*cost before a tip

cost before a tip=cost after tip/1.15

50/1.15-------> $43.48

Question

What is compound interest? A - the interest earned on the principal of an investment
B - the interest earned on both the principal and interest of an investment or savings account
C - the interest earned on a mutual fund
D - the interest earned on a loan

Solution 1

That would be B . The interest is earned on the principal and interest earned previously.

Solution 2

The correct answer is

The interest is earned on the principal and interest earned previously

:)

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