(−7.9 + (−3.4)) + (8.2 + 2.1)

Answers

Answer 1

Answer: the answer is -1, when adding both sides.

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The equation d= -6t + 10 represents the distance d, in miles, Ralph walks from the library to his house in t hours. His sister, Joan, leaves the library right after Ralph. She rides her bicycle from the library to their house at a constant rate. The equation d = 14t represents Joan's bicycle ride where d, is the distance, in miles, and t is the time, in hours.After how many miles will Joan meet Ralph walking to their house?
A. 2.5 miles
B. 7 miles
C. 18 miles
D. 28 miles

Answers

Answer:

B. 7 miles

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Functions

Function Notation

Systems of Linear Equations

Solving methods: Substitution/Elimination

Step-by-step explanation:

Step 1: Define

Identify given.

[Ralph's Walking Distance Function]: d = -6t + 10

[Joan's Bicycle Distance Function]: d = 14t

Step 2: Find Meeting Point

To find where Joan and Ralph will meet, we need to find where they intersect. Therefore, we need to find the time which they both meet up at. To do this, we can use the process of substitution to find our value of t:

[Equation 1] Substitute in d:
$\displaystyle\begin{aligned}d = -6t + 10 & \rightarrow 14t = -6t + 10\end{aligned}$

From here, we can simply use techniques listed under "Algebra I" to solve for t:

$\displaystyle\begin{aligned}14t & = -6t + 10 \n20t & = 10 \nt & = \boxed{ (1)/(2) } \n\end{aligned}$

∴ both Joan and Ralph will meet up in half an hour, or 0.5 hours.

Step 3: Find Mileage

To find how many miles they will meet up at, we substitute the number of hours elapsed (found in Step 2) and substitute it into any of the equations given:

$\displaystyle\begin{aligned}d & = 14t \n& = 14 \bigg( (1)/(2) \bigg) \n& = \boxed{7} \n\end{aligned}$

∴ Joan will meet Ralph after 7 miles.

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Learn more about Algebra I: brainly.com/question/10405469

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Topic: Algebra I

How are the values of the 3s in 33,000 related

Answers

They all are greater than 1,000. Like the first 3 equals 30,000. And the second 3 equals 3,000.

A hot tub has capacity of 1458 liters 487 liters and 750 ml were put in how much more needs to be put in

Answers

Well the easiest way we can do it is convert liters in to milliliters and since there are 1000 milliliters in a liter multiply 1458 by 1000 and 487 by 1000 which will get you 1458000 milliliters of capacity and the 487 liters turns into 487000 mililiters we add this to the 750 milliliters to get 487750 milliliters. Now it is all a matter of subtracting to find out how much more needs to be put in. 1458000-487750=970250 milliliters. So the amount needed to fill the hot tub is 970250 ml or if you want to convert it back to liters 970.250 l

Final answer:

First convert all volumes to the same unit. After converting 750 ml to 0.75 liters, sum this with the 487 liters already added to get 487.75 liters. Subtract this from the total capacity of 1458 liters to get 970.25 liters, which is the additional volume needed to fill the hot tub.

Explanation:

To determine how much more water needs to be put into the hot tub, you need to subtract the volume of the water that has already been added from the hot tub's total capacity.

First, you need to convert all the volumes to the same unit. Since the total capacity of the hot tub is given in liters, it would be best to convert the 750 ml to liters. As 1 liter is equal to 1000 ml, 750ml is equal to 0.75 liters. So, the total volume of the water that has been added to the hot tub now is 487 liters + 0.75 liters, which equals 487.75 liters.

Subtract this volume from the total hot tub capacity: 1458 liters - 487.75 liters equals 970.25 liters. So, 970.25 liters more water needs to be added to the hot tub to fill it to its total capacity.

Learn more about Volume Calculation here:

brainly.com/question/32822827

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Multiply K by five, and then add three to the product. HELP!!!

Answers

Answer:

5K + 3

Step-by-step explanation:

this is what you have stated. If you need to actually find a number you need to elaborate on what K is.

If the APR of a savings account is 4.8% and interest is compounded monthly,what is the approximate APY of the account?

O A. 1.05%

O B. 10.49%

O C. 4.91%

O D. 4%

Answers

Answer:

C. 4.91%

Step-by-step explanation:

The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.

Approximation

For an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.

Exact computation

For nominal annual rate r compounded n times per year, the effective annual rate is ...

r' = (1 +r/n)^n -1

For r = 0.048 and n = 12, this becomes ...

r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%

Additional comment

After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.

Please need help on this

Answers

Answer:

Step-by-step explanation:You would take 360-235 and that leaves you with 125

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