James wants to compete in the international speed texting competition next year where participants compete on text speed and accuracy. James's current text speed is 2 characters per second. James has found that his texting speed is increasing at a rate of ½ a character per second for each month that he practices.

Answers

Answer 1

Complete question :

James wants to compete in the international speed texting competition next year where participants compete on text speed and accuracy. James’s current text speed is 2 characters per second. James has found that his texting speed increases at a rate of 1⁄2 a character per second for each month that he practices.

1. a. What is James’s new texting speed if he practices for only 1 month? __________

b. What is James’s new texting speed if he practices for 2 months? ____________

c. What is his new texting speed if he practices for 3 months? _____________

d. Write an algebraic equation that gives James’s texting speed s for m months of

practice.

Answer:

2 1/2 ; 3, 3 1/2 ; s = 2 + 1/2m

Step-by-step explanation:

Given that :

Speed = 2 characters per second

Rate of change = 1/2 character per second increase per month

New texting speed after 1 month :

Initial speed + (change per month * number of months)

2 + 1/2 * 1

= 2 1/2 or 2.5

After 2 months :

Initial speed + (change per month * number of months)

2 + (1/2 * 2)

2 + 1

= 3 characters per second :

After 3 months :

Initial speed + (change per month * number of months)

2 + 1/2 * 3

= 2 + 1.5

= 3.5

For the algebraic equation :

New texting speed, s

Number of months, m

Initial speed + (change per month * number of months)

s = 2 + 1/2 * m

s = 2 + 1/2m


Related Questions

Determine whether each expression is equivalent to 100t^2-0.5t

Answers

Answer:

[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{10^{t^{2}}}{100^{t}}[/tex].

[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{50^{t^{2}}\cdot 2^{t^{2}}}{25^{0.5\cdot t}\cdot 4^{0.5\cdot t}}[/tex].

[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{50^{t^{2}-0.5\cdot t}}{5^{t^{2}-0.5\cdot t}}[/tex].

Step-by-step explanation:

The expression to be evaluated is [tex]100^{t^{2}-0.5\cdot t}[/tex], we find by algebraic means the equivalent expression:

Possibility 1:

[tex]100^{t^{2}-0.5\cdot t}[/tex]

[tex]\frac{100^{t^{2}}}{100^{0.5\cdot t}}[/tex]

[tex]\frac{100^{t^{2}}}{(100^{0.5})^{t}}[/tex]

[tex]\frac{100^{t^{2}}}{10^{t}}[/tex]

[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{10^{t^{2}}}{100^{t}}[/tex].

Possibility 2:

[tex]100^{t^{2}-0.5\cdot t}[/tex]

[tex]\frac{100^{t^{2}}}{100^{0.5\cdot t}}[/tex]

[tex]\frac{(50\cdot 2)^{t^{2}}}{(25\cdot 4)^{0.5\cdot t}}[/tex]

[tex]\frac{50^{t^{2}}\cdot 2^{t^{2}}}{25^{0.5\cdot t}\cdot 4^{0.5\cdot t}}[/tex]

[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{50^{t^{2}}\cdot 2^{t^{2}}}{25^{0.5\cdot t}\cdot 4^{0.5\cdot t}}[/tex].

Possibility 3:

[tex]100^{t^{2}-0.5\cdot t}[/tex]

[tex]\left(\frac{500}{5} \right)^{t^{2}-0.5\cdot t}[/tex]

[tex]\frac{500^{t^{2}-0.5\cdot t}}{5^{t^{2}-0.5\cdot t}}[/tex]

[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{50^{t^{2}-0.5\cdot t}}{5^{t^{2}-0.5\cdot t}}[/tex].

36 cups equals how many gallons

Answers

Answer:

2.25 gallons

Step-by-step explanation:

ggggdhdhdhdhdjd its right

Answer:

2.25 gallons

Step-by-step explanation:

i need help on this and yea

Answers

Answer:

3

Step-by-step explanation:

Which scatterplot shows a linear association?

Answers

Answer:

A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative.

Step-by-step explanation:

mark me brainliest plzzzzzzz

Answer:

For me its A

Step-by-step explanation:

It is the one that is the positive linear association.

Plz mark as brainliest

What value of x makes this proportion true?
3 15
х 40
O A. 5
O B. 8
O c. 105
O D. 28

Answers

the answer will be B. 8

quanto e 506 em numeros romanos?​

Answers

Answer:

506 DVI

Step-by-step explanation:

..............

506 en numero romanos es

DVI

What is the cost to the NEAREST CENT?
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A. $5.00
B. $40.00
C. $45.00
D. $55.00

Answers

Answer:

C. $55.00

Step-by-step explanation:

10% of $50 is $5, then add it because it is a markup, $55.00

What is the area of this figure?

Enter your answer as a decimal in the box.


cm²

Answers

I think that the answer is 63 although I could be wrong

Answer:

The Answer is 137.5 :)

Step-by-step explanation:

I took the Test ♡

APQR , the measure of angle R=90^ , the measure of angle P=38^ , and PQ = 62 feet. Find the length of RP the nearest tenth of a foot .

Answers

Answer: 48.9

Step-by-step explanation:

Delta math

What is the coefficient in the following expression?

3x + 9

Answers

Answer:

3

Step-by-step explanation:

The number that is being multiplied by the variable is the coefficient.

Fill in the blank to make a true equation
15+10=5(3+___)

Answers

Answer:

2

Step-by-step explanation:

15+10=5(3+_)

25=5(3+_)

25 divide by 5 equals 5

5-3=2!

Answer:

2

Step-by-step explanation:

When you distribute the 5 to the 3 and the 2 it makes 15 + 10 which is equal to the other side of the equation.

everything greater than -6

Answers

Answer:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and anything else above.

Step-by-step explanation:

Answer: there’s a lot of things that is great than -6, for example 75, 83,1,2,3,4,,5,6,8,9,10, 639, 938. These are just some

Step-by-step explanation:

Pls help reward the brainiest to right answers

Answers

Answer:

1. y=(4, 1)

2.y=(1/2, 2)

3. y=(-7.7, -1.3)

4.a=4, b=-13, c=3

5.x=the first one, i cant do all those symbols lol.

Step-by-step explanation:

Convert mixed number to improper fraction
2 3/5

Answers

Answer:

To convert mixed numbers you multiply the denominator by the whole number and add the numerator.

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Step-by-step explanation:

Hope this helps:)

Answer:

Its 13/5

Step-by-step explanation:

The denominator is 5, so to make a whole, you need 5. Since you have 2 wholes, you multiply 5 by 2 to get 10. Then you add 3 and 10 and get 13/5. You never change the denominator in addition or subtraction.

Hope this helps >.<

How to round 8.6023 in the nearest tenth?

Answers

Answer:

8.6

Step-by-step explanation:

https://www.you.tube.com/watch?v=32gDF10ZXOA

( it might be wrong pls dont report me just let me kno y its wrong )

Answer:

8.6

Step-by-step explanation:

First of all consider the thousands in the decimal which is 2. Since 2 is not greater than 5 we have to remove the number 2 and 3 from the 8.6023.

We're left with 8.60. Now we see that there's a 0 in the hundredths so since it's not greater than 5 we remove it.

Now we're left with 8.6 which is to the nearest tenth.

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**Put your answer in until the number starts repeating. Don't forget to put the bar over what repeats on your paper!**

13/6

Answers

..........................................................

Which equation represents a slope of 4 and (5,-2)?

y-2=4(x-5)
y-5=4(x-2)
y+2=4(x+5)
y+2=4(x-5)

Answers

Answer:

Step-by-step explanation:

the formula is named the point slope formula for a reason.   and  you have show both of them in the question , the slope and the point are given

y - y1 = m(x-x1)

so for your answer

y-(-2) = 4(x-5)

y+2 = 4(x-5)    is the right answer

Select the graph that matches the function y = 3x + 7.
y+
5
5
9
-5
5
-5
5
y
5
5
5
5
х
5
5
5
5

Answers

Answer:

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Step-by-step explanation:

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Answer:

its the first one

Step-by-step explanation:

hope i helped

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Step-by-step explanation:

Answer:

huh what do you mean picture?

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Answer:

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Step-by-step explanation:

Wich of the expressions simplify 10y + 8??

Answers

Answer:

2(5y+4)

Step-by-step explanation:

Answer:

2(5y+4)

Step-by-step explanation:

You factor out a two, and then it will be simplified. You can't factor out another two, because 5 is not divisble by two.

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Answers

Answer:

The range is 2

Step-by-step explanation:

The highest 4.3 - the lowest 2.3

1. 7x +30
2.7x+50
3.13x+30
4.13x+50

Please help me

Answers

Answer:

its easy the first one 7x+30

can you help me with this please.
4)
5)
6)
7)
8)
9)
10)​

Answers

Answer:4






Explanation:

Can you help me explain

Answers

Answer:

x = 10

Step-by-step explanation:

We need to isolate X.

3x - 7 = x + 13

subtract 13

3x - 7 - 13 = x

combine like terms

3x - 20 = x

subtract 3x

- 20 = x - 3x

Combine like terms

- 20 = - 2x

Divide by -2

10 = x

-6 x (1/3 + 1/3)What is the answer?

Answers

Answer:

−4

Step-by-step explanation

Answer:

−4

Step-by-step explanation:

-6 x (1/3 + 1/3)

Since 1/3 and 1/3 have the same denominator, add them by adding their numerators.

-6 x (1+1/3)

Add 1 and 1 to get 2.

-6 x (2/3)

Express -6 x (2/3) as a single fraction.

-6 x 2/3

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-12/3

Divide −12 by 3 to get −4.

−4

Question 17. A circular flower bed has a diameter of 20 cm, what is the
area of the flower bed?

A 62.84 cm
B 125.68 cm
C 256.8 cm
D 314.2 cm​

Answers

a 62.84 cm i believe , what unit are you on ?

I need help asap and work shown ​

Answers

Answer:

A. SinA=10/26 B. CosA=24/26 C. TanA=10/24 D. TanB=24/10

Step-by-step explanation:

You really need to remember this formula for trig: Soh Cah Toa

S=Sin       O=Opposite H=Hypotenuse

C=Cosine A=Adjacent H= Hypot.

T=Tangent O= Oppo. A=Adjac.

Now if we take Soh, what it basically means is that the sine is equal to the opposite over the hypotenuse, same thing for the others, cosine is equal to the adjacent over the hypotenuse and tangent is equal to the opposite over adjacent. When you have a letter such as A or B in front of sin cos or tan, it represents which angle on the triangle does this imply to, if that makes sense. For example, for sin A you use Soh to find the ratio, opposite = 10 and hypotenuse = 26, so 10/26. Same thing for Cos A, adjacent = 24 and hypotenuse = 26. You apply the same thing for tan, but something happened, there is a TAN B, so what that means is that you go to angle B, and you apply the toa formula, opposite= 24 and adjacent = 10 so 24/10. Hope this answers your question. MAKE SURE YOU REDUCE YOUR RATIOS. :)

Determine the domain of the following graph:

Answers

Answer:

[0,11)

Step-by-step explanation:

the function is defined over {0,11) because it includes x=0, but has an open dot at x=11.

I’ll give someone brainliest if they answer this I got them wrong unfortunately

Answers

Answer:

for number 4 its c and d

for number 5 its b

Step-by-step explanation:

hope this helps :D

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