MATHEMATICS MIDDLE SCHOOL

Sara's savings account balance changed by -$34 one week and by -$67 the next week .Which amount represents the greater change?

Answers

Answer 1

Answer:

Answer:

Change in one week is more than the change in the next week

Step-by-step explanation:

Change in Sara's savings account balance in one week = $- \$ 34$

Change in Sara's savings account balance in next week = $- \$ 67$

Tens digit in 34 = 3

Tens digit in 67 = 6

If we compare the tens digit of 34 and 67, we get $6> 3$

So, $67> 34$

On multiplying both sides by -1 , we get $-67< -34$ .

{ We know that negative sign changes sign of inequality }

So, we get change in one week is more than the change in the next week .

Answer 2

Answer: The greater change is represented by the absolute magnitude

|-34| = 34
|-67| = 67

67 > 34

-67 represents the greater change

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Are the ratios 3:7 and 1:2 equivalent

Answers

No, because 7 is prime (i’m pretty sure they aren’t)

Answer: No

Step-by-step explanation:

Finding equivalent ratios is just like finding equvalent fractions.

For Example: 3/6 = 1/2 that also means 3:6 will equal 1:2

Good Luck!

The total cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where x is the number of ski trips you take.a. Solve the equation for x.

b. How many ski trips do you take if you spend a total of $315? $485?

Answers

Answer:

a. x = (C — 60) / 85

bi. 3

bii. 5

Step-by-step explanation:

a. C = 85x + 60

C — 60 = 85x

x = (C — 60) / 85

bi. When C = $315,

x = (C — 60) / 85

x = (315 — 60) / 85

x = 225/ 85

x = 3

bii. When C = $485

x = (C — 60) / 85

x = (485 — 60) / 85

x = 425/ 85

x = 5

If i travel 100 miles in 4 hours what is that unit rate

Answers

To find a unit rate you need to divide. We will divide 100 miles by 4 hours. What ever the answer is it will be your unit rate.

100 ÷ 4 = 25

CHECK OUR WORK:-

25 × 4 = 100

We were RIGHT!!!!!

So, 25 miles per hour.

Hope I helped ya!!

100 miles in 4 hours. The unit rate would be 25 miles per hour.

100miles / 4hrs = 25 miles per hour

Therefore, for every hour you travel, you will gain 25 miles. Or for every 25 miles you travel, you've spent 1 hour traveling it.

y = 25x
where y is the total miles traveled, 25 is the constant unit rate, and x is the number of hours traveled.

for example: you traveled for 8 hours and you want to know how long you've traveled while maintaining the rate of 25mph. Just use the formula

y = 25x
y = 25(8)
y = 200 miles. you have traveled 200 miles in 8 hours.

In a video game,a guppy that escapes a net turns into three goldfish.Each goldfish can turn into two betta fish.Each betta fish can turn into two angelfish.Write and evaluate an expression for the number if angelfish that can be formed from one guppy.

Answers

If g=guppy, go=goldfish, b=bettafish and a=angelfish we can set up expressions for each set of fish.
1g=3go
1go=2b
1b=2a

By working backwards and substituting we can finally work out 1 guppy to be equal to 12 angelfish.

Which describes independent events?A) Selecting two tickets by choosing a raffle ticket at random from a jar and disposing of the first ticket before selecting the second ticket.

B) Selecting a blue and green balloon by choosing one string at a time at random from a clown's hand, handing the first choice to your brother.

C) Rolling two ones in a row using a standard die.

D) Getting 5 multiple choice questions correct if you select at random from each of the possible answers, never repeating an answer choice.

Answers

C.

All of the other answers are dependent because once the first action is complete, the sample from which you are selecting the second item is different from the first...

for example, A,

If you draw the first ticket out of, say, 25 total tickets, there is a 1/25 chance you will get that ticket. If you dispose of it and then draw a second ticket, there are now 24 total tickets so there is a 1/24 chance of getting that ticket.

C is independent because the dice itself doesn't change when you roll it again... there is a 1/6 chance of getting a one each separate time you roll.

hope that helped!

In a sample of 200 observations, there were 80 positive outcomes. Find the standard error for the sample proportion.

Answers

The standarderror for the sample proportion 0.3995.

What is Standard Error?

The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.

given:

n= 200

and possible outcomes= 80

Standard deviation = √(80²/200)= 5.65

Now, standard error = $\sigma$ / √n