Question 16 (5 points)
The first two terms of an arithmetic sequence are a1 = 2 and a2 = 5. Find a6, the
sixth term of the sequence.
OA) 27
B) 20
OC) 14
D) 17

Answer:

Answer: 55

Step-by-step explanation:

Let h= the number of hours the driver drove

Let m= the number of miles driven

25h+2m=625

m=50h

System of equations are 25x + 2y = 625 and y = 50x

Where x represents number of hour of driving and y represent number of mile driven for gas and maintenance.

Since, Joshua pay the driver $25 per hour of driving

So for x hours pay  $ 25x

And also has an expense of $2 per mile driven for gas and maintenance

So for y miles pay $ 2y

Thus, for the driver drove an average of 50 miles per hour

Equation is,  y = 50 x

And since, Joshua's total expenses for the driver, gas and truck maintenance were $625.

So equation is,  25x + 2y = 625

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Answer:

A=16

Step-by-step explanation:

A= 1/2*b*h

A=1/2*4*8

A=16

Answer:

c

Step-by-step explanation:

[tex]\frac{20}{100} = \frac{1}{5} \\\frac{4}{20} = \frac{1}{5}[/tex]

Answer:

4/20

Step-by-step explanation:

4/20=1/5=20%

Answer:

What is the question?

Step-by-step explanation:

Answer:

we need to know the lenght of the ladder so we can calculate for u :)

Step-by-step explanation:

Answer:

The rectangle (A) has the largest area.

Step-by-step explanation:

To work out the area of the rectangle you have to multiply the width with the height.

A: 3 squares tall, and 5 squares wide. We have to multiply 3 with 5 which equals 15.

B: 2 squares tall, and 6 squares wide. We have to multiply 2 with 6 which equals 12.

The highest answer or area is 15. Which is Rectangle A.

Answer:

Step-by-step explanation:

entire cake = x

4 lbs of cake mix on hand = 25% of x

4 = 0.25x

x = 0.25/4

x = 16 lbs

She will need 16-4 = 12 lbs more

Answer:

i think 180 not positive

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

4x = 12

x = 3

Answer:

45

Step-by-step explanation:

Every 15 minutes, 30 kilometers are passed by.

15/60 = 1/4 hour

30/120 = 1/4 speed

It takes a train to travel 90 kilometers at a constant speed of 120 kilometers per hour is 45.

We have given that,

F. 30

G. 40

H. 45

J. 80

K. 90

Speed is measured as the ratio between distance and time and the SI unit of speed is m/s.

Every 15 minutes, 30 kilometers are passed by.

15/60 = 1/4 hour

30/120 = 1/4 speed

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Answer:

6 games

Step-by-step explanation:

if one lady had 3 pieces of candy, that means she must have gotten them from the other lady. And since the other lady had only won 3 games, that means that she must have lost an additional 3, so she had to give her candy to the other lady.

The number of individual games they played is 6 games.

Given the cards for Candy two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy.

If one woman had three candies, it is obvious that she must have obtained them from the other woman. She had to give her candy to the other lady because she had only won three games, implying that she must have lost three more.

Therefore, the number of individual games they played is 6 games.

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Answer:

First blank- 4x

Second blank- combine

Third blank- X

Hope this helps :3

(Write feedback if incorrect)

Answer:

1. 3:4

2. 1 : 3

3. 3 : 1

4. 1 : 5

5. 2: 5

Step-by-step explanation:

Answer:

1. 3:4 (because 9÷3 is 3 and 12÷3 is 4)

2. 1:3 (because 2÷2 is 1 and 6÷2 is 3)

3. 3:1 (because 21÷7 is 3 and 7÷7 is 1)

4. 1:5 (because 3÷3 is 1 and 15÷3 is 5)

5. 2:5 (because 4÷2 is 2 and 10÷2 is 5)

Answer: The answer is y = 4/5x + 8.

Step-by-step explanation:

There is good reasoning behind why this is the answer. First, if you recall, parallel lines must have the same slope or they will at some point meet. With this information, you can pull from the given material that the slope for the equation you are trying to gather is 4/5.

Then, you can use the given point to find the y-intercept because the x-coordinate is 0 (directly on the y-axis) and your y-coordinate is 8. Your y-intercept is placed as a positive or negative value at the end of the equation (if in slope-intercept form), and because the 8 in the ordered pair is positive, you just need to add +8 to your equation.

With this information, you can conclude that the equation is y = 4/5x + 8.

Answer:

120

Step-by-step explanation:

You break the first statue

There are 5 different ways since there are 5 statues.

Now there are 4 statues left

There are 4 different ways since there are 4 statues.

Now there are 3 statues left

There are 3 different ways since there are 3 statues.

Now there are 2 statues left

There are 2 different ways since there are 2 statues.

Now there is 1 statues left

There  is 1 different ways since there is 1 statue.

5*4*3*2*1

Total ways

Answer:

C: 735

Step-by-step explanation:

We can split the pool into two 3D shapes.

The first rectangular prism on the left would equal 7 * 5 * 15 = 525 cubic meters

The second rectangular prism on the right would equal 7 * 2 * 15 =210 cubic meters.

In total, 525 + 210 = 735 cubic meters

Answer:A

Step-by-step explanation:

Answer:

It is Transitive Property of Congruence

Hope this helps :)

Answer:

144

Step-by-step explanation:

Take the original price and multiply by the discount

180* 20%

180 *.20

36

Subtract this from the original price

180-36 =144

The sale price is 144

Answer:

1/2

Step-by-step explanation:

Answer & Step-by-step explanation:

In order to solve this problem, it  is important that we know the original form of this equation.

(x - x1)² + (y - y1)² = r²

The equation we are given is: (x - 1)² + (y + 20)² = 196

Now that we know the original equation and the given equation, then we can conclude that the center of the circle is (1, -20). We can find the radius by calculating the square root of 196.

√196 = 14

So, the radius is 14.

Now, based on the given information, we know that the center of the circle is (1, -20) and the radius of the circle is 14.

Answer:

12 dm

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing length of the right triangle:

[tex]a^2+b^2=c^2[/tex]

We are given the hypotenuse's length of 13 dm, and a leg length of 5 dm.

Let the missing leg be 'b':

[tex]5^2+b^2=13^2\\\left \{ {{5^2=25} \atop {13^2=169}} \right. \\25+b^2=169\\25-25+b^2=169-25 \leftarrow \text{Subtraction Property of Equality} \\b^2=144\\\sqrt{b^2}=\sqrt{144}\leftarrow\text {Square Root Property of Equality}\\ \boxed{b=12}[/tex]

The missing side length should be 12 dm.

Answer:

12 dm

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + x^2 = 13^2

25 + x^2 =169

Subtract 25 from each side

x^2 = 169-25

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = 12

Although the sides are equal, it isn't a rhombus because there is 6 sides and not 4.

Answer:

Option A

Step-by-step explanation:

If a football team gains 15 yards on a play, it will be recorded as '+ 15' or '15'.

All other options would be represented by '-15', and not '15' that is asked in the question. A withdraw is taking away money, a number 'below zero' would be negative, and losing 15 points would be represented as '-15'.

Option A should be the correct answer.

Answer:

The answer to your problem is Option A or 1: A football team gains 15 yards on a play.

Step-by-step explanation:

This is the answer because all of the other situations have an integer of -15. Like LOSING points, or 15 meters BELOW all signify that those situations include a negative number. Your question is asking for a positive 15 not negative so Option 1 is the correct answer.

Answer:

<ABC = 30°

Step-by-step explanation:

<ABC + <CBD = 90 [Complementary angles add up to 90°]

x+7+2x+14 = 90

3x + 21 = 90

3x = 90-21

3x = 69

Dividing both sides by 3

x = 23

Now

<ABC = 23+7

<ABC = 30°

Answer:

30 degrees

Step-by-step explanation:

Answer:

A scatter plot displays data about two variables as a set of points in the x y x y x y -plane and is a useful tool for determining if there is a correlation between the variables. Causation means that one event causes another event to occur. Causation can only be determined from an appropriately designed experiment.

Step-by-step explanation:

Example: Correlation between Ice cream sales and sunglasses sold. ... Causation takes a step further than correlation. It says any change in the value of one variable will cause a change in the value of another variable, which means one variable makes other to happen. It is also referred as cause and effect.

Answer:

You will pay $18 for a item with original price of $90 when discounted 80%. In this example, if you buy an item at $90 with 80% discount, you will pay 90 - 72 = 18 dollars.

Step-by-step explanation:

Answer:

Original Price is $450

Step-by-step explanation:

(Discounted price) = (100 percent - discount percent) x (original price)

90 = (100%- 80%) x y

y = 90 / 0.20

= 450

Answer: X=4 ✌️

Step-by-step explanation:

Answer:

depends on the tax, value, and some other factors (i think)

Step-by-step explanation: