Show work please I need help with both questions 3 and 5 thanks
show work please I need help with both questions 3 - 1

Answers

Answer 1
Answer:

Answer:

B) {8.71}

Step-by-step explanation:

3. l.c.m=28

28×3/7=28×b-7/4

4×3=7(b-7)

12=7b-49

12+49=7b

61=7b

61/7=7b/7

8.71=b

b=8.71.


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X over two is equal to 11
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PLEASE HELP! GEOMETRY. The circle design is based on twelve equally spaced points placed around the circumference of the circle. As the group lays out the design, the measure of angle GAH is ____ degrees, to the nearest degree.

What are the equivalent fraction and decimal for 20%

Answers

The equivalent fraction is 20/100, and the decimal is 0.20 for 20%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 57% on her exam, that corresponds to 57 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

We have to determine  the equivalent fraction and decimal for 20%

According to the fundamental algebra, the required solution would be as:

20% is expressed as 20/100 in the fractional form:

⇒ (20/100)

Apply the division operation to get 0.20.

20/100 is expressed as 0.20 in decimal form:

⇒ (0.20)

Therefore, the equivalent fraction is 20/100, and the decimal is 0.20 for 20%.

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Well, you know that 20% is out of 100.
So, take a fraction that is equivalent to 20% of 100. ( 2/10 works fine) or, 1/5
Then, take 20% and luckily, 20% is a benchmark so .2 (out of 10) works fine.

Find the correct sum of these geometric series..*a1=343, an=-1, r= -1/7

*a1=80, n=7, r= -1/2

*a1= 3, a8=384, r=2

Please help me with these problems.. :(

Answers

1)
a_(1)=343\n a_(r)=-1\nr=- (1)/(7) \na_(r)=a_(1)* q^(r-1) \n-1=343*q^(r-1)\n-1=343* -((1)/(7))^(r-1)\n-7^0=7^3*(- 7)^(-r+1)\n7^0=7^3*7^(-r+1)\nindexes: \n0=3-r+1\nn=4
S_r=a_1 (1-r^n)/(1-r)\nS_r=343* (1- (-(1)/(7) )^4)/(1- (-(1)/(7) ))\nS_r=343* (1- ((1)/(2401) ))/(1+ ((1)/(7) ))\nS_r=343* (((2400)/(2401) ))/(((8)/(7) ))\nS_r=343* (300)/(343) \nS_r=300
2)
S= a_(1)* (1- r^(2) )/(1-r)\n S=80*(1- ( -(1)/(2)) ^(2) )/(1+(1)/(2) )\nS=80* (1- (1)/(4) )/( (3)/(2) )=80* (3)/(4)* (2)/(3) =40
3) we dont know how many numbers has this sequence

Find the unit rate, and then use it to solve the problem. A trucking company makes 50 deliveries in 5 days.

How long will it take for 400 deliveries?

A.
8 days

B.
10 days

C.
20 days

D.
40 days

Answers

If the company makes 50 deliveries in 5 days, he makes 50/5=10 deliveries per day.  Therefore, 400 deliveries will take 400/10=40 days.  D is the correct answer.

What does it mean if the probability is 20% that a spinner will stop in a red section? A.
There is one chance in 5 that the spinner will stop in a red section.

B.
It is 20 times more likely that the spinner will stop in a red section than any other section.

C.
If the spinner is spun 100 times it is certain that it will stop in the red section exactly 20 times.

D.
There is one chance in 20 that the spinner will stop in a red section.

Answers

20% = 20/100 = 1/5

Hence, there is one chance in five that the spinner will stop in a red section.

A parallelogram has a base of 12 meters and a height of 1.5 meters. What is its area?

Answers

The area of a parallelogram is 18 m².

Given that, a parallelogram has a base of 12 meters and a height of 1.5 meters.

We need to find the area of a parallelogram.

What is the area of a parallelogram?

The area of a parallelogram can be calculated by multiplying its base with the altitude. The base and altitude of a parallelogram are perpendicular to each other as shown in the following figure. The formula to calculate the area of a parallelogram can thus be given as,

Area of parallelogram = b × h square units

Where b is the length of the base and h is the height or altitude.

Now, the area of a parallellogram=12×1.5

=18 m²

Therefore, the area of a parallelogram is 18 m².

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Answer:

18 meters

Step-by-step explanation:

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.Which statement describes when the plans are based on the same number of aerobic exercise sessions?

Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

Answers

Let y be the number of strength-training exercises per week.
Let x be the number of aerobic exercises per week.
For the beginner plan:
15y + 20x = 90 ..........(1)
For the advanced plan:
20y + 30x = 130 ........(2)
Multiply both sides of (1) by 3 to get:
45y + 60x = 270 ........(3)
Multiply both sides of (2) by2 to get:
40y + 60x = 260 .......(4)
Subtracting (4) from (3) we get:
5y = 10
y = 2
Plugging in the value of 2 for y in equation and solving, we find x = 3.
Therefore the correct statement is:
"Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week." 


Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

How to Solve Algebra Word Problems?

Let y be the number of strength-training exercises per week.

Let x be the number of aerobic exercises per week.

For the beginner plan, the equation would be gotten as;

15y + 20x = 90  ------(eq 1)

The equation to represent the advanced plan would be;

20y + 30x = 130   -------(eq 2)

Multiply both sides of eq 1 by 4 to get:

60y + 80x = 360 ------(eq 3)

Multiply both sides of eq 2 by 3 to get:

60y + 90x = 390   ------(eq 4)

Subtract  eq(3) from eq(4) we get:

10x = 30

Thus; x = 3

Then; 15y + 20(3) = 90

15y = 30

y = 2

Thus, the correct statement is:

"Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week."

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