Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day,
and so on. On which day will Roberta jog 13 laps if the pattern continues ?

Answer:

Bob is at the top, so he starts at step 9.

Sue is at the bottom, so she is at the step 0 (this is the floor, before stepping on step 1)

Sue climbs from one step on one step.

Then she if she climbs n times, she will be at the step number:

S(n) = 0 + 1*n

And Bob goes down by 2 steps each time, then after he goes down n times, his position will be:

B(n) = 9 - 2*n

We want to see when they meet, then we need to solve:

S(n) = B(n)

1*n = 9 - 2*n

1*n + 2*n = 9

3*n = 9

n = 9/3 = 3

n = 3.

This means that they meet a the step:

S(3) = 3*1 = 3

B(3) = 9 - 2*3 = 9 - 6 = 3

They meet at the third steep.

Answer:

15 cm squared

area =l x w

so 3 x 5= 15

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

[tex]8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4[/tex]

Answer:

Add the reciprocal or -4/5 which is +5/4 and then add it

Step-by-step explanation:

Answer:

Is there supposed to have a picture? cause if there is, i can't see it...

Step-by-step explanation:

Answer:

5i + 14

Step-by-step explanation:

combine like terms

8i - 3i = 5i

6 + 8 = 14

rewrite expression

5i + 14

Hope This Helps!!

:)

Answer:

$2.22

Step-by-step explanation:

When interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

If the interest compounded continuously:

P = $12000, r = 4.5% = 0.045%

[tex]\rm A(t) =12000(e)^{0.045t}[/tex]

When t = 10 years, plug this value in the above expression and calculating, we get;

A(10) = $18819.75

When interest compounded daily:

[tex]\rm A(t) = 12000(1+\dfrac{0.045}{365})^{365t}[/tex]

Plug t = 10 years:

We get;

A(10) = $18819.22

Similarly,

If interest is compounded monthly:

n = 12 and t =10, we get:

A(10) = $18803.91

Thus, when interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

Learn more about the compound interest here:

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Answer:

The extra fee was 1.31

It brought her total up to 44.96

Hi there!

fee:1.31

1.Multiply percent term by 0.01:

[tex]3[/tex]·[tex]0.01=0.03[/tex]

2.Multiply cost by 0.03:

[tex]43.65[/tex]·[tex]0.03= 1.3095[/tex]

3.Round into nearest hundred:

[tex]1.3095=1.31[/tex]

Therefore, the cost of the fee would be 1.31$.

Answer:

4

Step-by-step explanation:

Answer:

The answer is 4.

Step-by-step explanation:

If you put four dashes on the number line, you will end up with fifths.

Answer:

4

Step-by-step explanation: A general rule of thumb is that the answer for these types of problems is always 1 less than the number of segments needed. For example, 7ths would = 6 cuts and 3rds would be 2 cuts.

Answer:

4

Step-by-step explanation:

It is. I just know it lol

Answer:

Figure 3

Step-by-step explanation:

Answer:

B red shirt, skining pant, boots

Answer:

6

Step-by-step explanation:

Using the similarity theorem f the triangle

(4+6)/x+9 = 4/x

10/x+9 = 4/x

Cross multiply

10x =4(x+9)

10x = 4x+36

10x-4x = 36

6x = 36

x = 6

Hence the value of x is 6

Answer:

Yes

Step-by-step explanation:

42/48

42/6 = 7 and 48/6 = 8

Simplifies to 7/8, therefore they are equal

Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

“θ is 148° more than its supplement”

Supplement of θ = 180°-θ

θ = (180°-θ) + 148°

2θ = 328°

θ = 164°

Supplement of θ = 180°-164° = 16°

The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Eber ran 3 miles. He stopped to take a break every 3/4 mile.

Then the number of times that Eber stop, including his final stop at the end of his run, will be given as,

⇒ 3 ÷ (3/4)

⇒ 3 x (4 / 3)

⇒ 4 times

The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.

More about the Algebra link is given below.

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Answer:

a)e^9

b)64a^3b^6

c)4n^3p^4

I hope It helps you have a good day.

Answer:

They are equal...

Step-by-step explanation:

-2/8 is simplified from -6/24 as the 6 and the 24 can be simplified. 6 goes into 24 three times.

Answer:

a.Equation :y=40-2.5x

b.straight, decreases, the same

Step-by-step explanation:

Answer:

y=4,000x+50,000

Step-by-step explanation:

Where y = total salary

x = number of years worked

The relationship between salary and the number of years working at the company is 50000 + 4000x

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Gabriella was offered a job after college earning a salary of $50,000.

She will get a raise of $4,000 after each year working for the company.

let the number of years worked be x.

Then, relationship between salary and the number of years working at the company is 50000 + 4000x

Learn more about algebra here:

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Answer:

y=-4x+5

Step-by-step explanation:

Answer:

8 more attackers than defenders

Step-by-step explanation:

36÷18=2

2x11=22

2x7=14

Answer:

8

Step-by-step explanation:

sum the parts of the ratio, 11 + 7 = 18 parts

Divide the number of players by 18 to find the value of one part of the ratio

36 ÷ 18 = 2 players ← value of 1 part of the ratio, then

11 parts = 11 × 2 = 22 ← number of attackers

7 parts = 7 × 2 = 14 ← number of defenders

22 - 14 = 8

There are 8 more attackers than defenders

Answer:

8 meters per minute

Step-by-step explanation:

120/50=8

Hope this helps! :)

Answer:

8 meters/second

Step-by-step explanation:

Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.

Hope this helps!

Answer:

∠XZW = 95°

Step-by-step explanation:

∠YXZ = 180 - 150

∠YXZ = 30°

∠XZY = 180 - (30+65)

∠XZY = 180 - 95

∠XZY = 85°

∠XZW = 180 - 85

∠XZW = 95°

Answer:

(x−3)(x+9)

Step-by-step explanation:

The middle number is 6 and the last number is -27.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 6

Multiply together to get -27

Can you think of the two numbers?

Try -3 and 9:

-3+9 = 6

-3*9 = -27

Fill in the blanks in

(x+_)(x+_)

with -3 and 9 to get...

(x-3)(x+9)

Answer:

20

Step-by-step explanation: