MATHEMATICS HIGH SCHOOL

Wade's grandmother gave him $100 for his birthday. Wade wants to save his money to buy a new MP3 player that cost $275. Each month, he adds $25 to his MP3 savings. Write an equation in slope-intercept form for x, the number of months that it will take Wade to save $275

Answers

Answer 1

Answer:

Answer:

The answer is:

275 = 25X + 100

Step-by-step explanation:

1.The equation for the slope- intercept is:

y = mx + b

2. Recognize and value variables

x = number of months

y = the expected range to arrive

m = is the amount Wade earns per month

b = the amount of money saved.

3. Solve the equation for X which is the unknown.

275 - 100 = 25X

175 / 25 = X

X = 7

4. . Show the result

275 = 25(7) + 100

275 = 275

5. Wade will take 7 months to buy your MP3 if he saves 25 for each month.

Answer 2

Answer: 7 months because after the 100 dollars u add u 25 7 times to get 275

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Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes. If they work together, how many minutes does it take them to line a football field?a. 40 minutes
b. 80 minutes
c. 200 minutes
d. 240 minutes HELP?!

Answers

Answer:

If they work together, they take 48 minutes to line the football field.

Step-by-step explanation:

Given: Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes.

To find : If they work together, how many minutes does it take them to line a football field?

Solution :

If they work together,

Let the number of minutes(x) they take to line the foot ball field.

According to question,

$(1)/(x)=(1)/(120)+(1)/(80)$

$(1)/(x)=(80+120)/(120* 80)$

$(1)/(x)=(200)/(120* 80)$

Cross multiply,

$x=(120* 80)/(200)$

$x=12* 4$

$x=48$

Therefore, If they work together, they take 48 minutes to line the football field.

Answer: If they work together, they can line a football field in 48 minutes.

Step-by-step explanation: Given that Reggie can line a football field in 120 minutes and Rosalinda can line a football field in 80 minutes.

We are to find the number of minutes does it take them to line a football field if they work together.

We have

Time taken by Reggie to line a football field = 120 minutes.

So, in 1 minute, Reggie can line $(1)/(120)$ part of the field.

Time taken by Rosalinda to line a football field = 80 minutes.

So, in 1 minute, Rosalinda can line $(1)/(80)$ part of the field.

Therefore, if they work together, the portion of the football field that they can lie in 1 minute is given by

$(1)/(120)+(1)/(80)\n\n\n=(2+3)/(240)\n\n\n=(5)/(240)\n\n\n=(1)/(48)$

Thus, if they work together, they can line a football field in 48 minutes.

It is predicted that garden gnome value will go up by 2% each year, forming a geometric progression. Jean-Claude has a garden gnome currently valued at £80,000. If the rate of inflation is correct:a) What will Jean-Claude's gnome be worth after 1 year?

b) What is the common ratio of the geometric progression?

c) What will Jean-Claude's gnome be worth after 10 years?

d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.

Answers

Answer:

Step-by-step explanation:

a ) The worth of Jean-Claude's gnome after 1 year

= 80000 x 1.02

= £81600

b ) common ratio of geometric progression

= 81600 / 80000

= 1.02

c ) worth after 10 years

= 80000 x 1.02¹⁰

= 80000 x 1.21899

= £97519.55

d )

120000 = 80000 x $1.02^k$

1.5 = $1.02^k$

ln1.5 = k ln 1.02

k = ln 1.5 / ln 1.02

= .4054 / .0198

= 20.47 years .

Express 5×-4y=20 in the form a×+by+c=0and write the value of a,band c

Answers

Answer:

a = 5

b = -4

c = -20

Step-by-step explanation:

Here, we want to express the given equation in the following form;

So we can have this as;

5x-4y-20 = 0

That means we have;

a as 5

b as -4

and c as -20

Michi put $7.50 worth of gas in her car. two co-workers who were riding to work with her offered to share the cost of the gas. one paid 1/2 of the total amount and the other paid 1/3 of the total amount. how much of the total amount was left