Question

Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?

Answer 1

need help

Answer 2

Welcome to questioncove! I think the answer is 338 minutes o.o

Answer 3

thank you

Answer 4

no problems :D

Answer 5

how did u get that answer

Answer 6

I searched up :O http://questioncove.com/updates/5570940ae4b02626b3957fd6

Answer 7

If you're still confused @Vocaloid can help explain better.

Answer 8

d = rt

distance = rate * time

Answer 9

ok

Answer 10

310 = 55t

solve for t

Answer 11

Marla has $95.50 in her savings account. She deposits $5 every week. Her mother also deposits $20 into the account every time Marla washes the car. Her savings account balance can be shown with the following expression:

20c + 5w + 95.50

Part A: Identify a coefficient, a variable, and a constant in this expression.

Part B: If Marla saves for 20 weeks and washes the car 5 times, how much will she have in her account? Show your work to receive full credit.

Part C: If Marla’s mom deposited $10 after each car wash, would the coefficient, variable, or constant in the expression change? Why

Answer 12

let's think about the definition of these terms: coefficient, constant, variable

a variable is a symbol (usually a letter) that represents some quantity
a coefficient is a number multiplied to a variable
a constant is a number with no variable (so it will not vary)

do you think you can look at the equation and pick one variable, one coefficient, and one constant now?

Answer 13

it C

Answer 14

which of the three definitions does c match?

Answer 15

a coefficient is a number multiplied to a variable

Answer 16

nope, c is not a coefficient

read the definitions very carefully. c is a letter, so which definition matches best?

Answer 17

I am so confused

Answer 18

here is our original equation:

20c + 5w + 95.50

notice how there are numbers and letters mixed into it?

Answer 19

the question is asking you to look at the equation and find these three things:

a variable, which is a letter (a letter of the alphabet) that represents a number
a coefficient, which is a number attached to a letter/variable
a constant, which is a number NOT attached to a letter/variable

Answer 20

it's like a scavenger hunt, look at the equation and find those three things

let me know if you are still stuck

Answer 21

ok

Answer 22

are you still there? what do you have so far?

Answer 23

if you are still confused I can try explaining another way

Answer 24

still confused

Answer 25

these are letters: a,b,c,d... right?

these are numbers: 1,2,3,4... right?

Answer 26

variables are letters that represent numbers

Answer 27

so for 20c + 5w + 95.50

there are two variables, what are they?

Answer 28

20c 5w

Answer 29

letters only please

Answer 30

c w

Answer 31

good! so c and w are variables

Answer 32

now, if we mash a variable and a number together we get something like: 5a

since 5 is "stuck" to a letter, we call "5" the coefficient, make sense?

Answer 33

now look again at our equation

20c + 5w + 95.50

there are two coefficients. what are they?

Answer 34

20 5

Answer 35

awesome!

now, when we have numbers by themselves (not stuck to letters) we call them constants

Answer 36

20c + 5w + 95.50

there is one constant, what is it?

Answer 37

95.50

Answer 38

great!

so for part A: Part A: Identify a coefficient, a variable, and a constant in this expression.

we can say:

coefficient: 20
variable: c
constant: 95.50

make sense?

Answer 39

yes

Answer 40

Part B: If Marla saves for 20 weeks and washes the car 5 times, how much will she have in her account? Show your work to receive full credit.

Answer 41

remember earlier when we said that variables are "letters that represent numbers"?

Answer 42

in 20c + 5w + 95.50

w is a variable that represents the number of weeks that Marla saves money
c is the number of cars that Marla washes

make sense so far?

Answer 43

yes

Answer 44

Marla saves for 20 weeks and washes the car 5 times

Answer 45

so w = 20 and c = 5 make sense so far?

Answer 46

yes 20+5 =25

Answer 47

no

Answer 48

it does not say to add them together

Answer 49

right

Answer 50

now, look at our equation

20c + 5w + 95.50

replace "c" with 5 and replace "w" with 20

20c + 5w + 95.50 = what number?

Answer 51

820.5

Answer 52

(I should also mention: 20c means 20*c and 5w means 5*w)

Answer 53

let me rewrite it

Answer 54

20*c + 5*w + 95.50 = ?

Answer 55

100 +100+95.50=295.5

Answer 56

perfect that is your answer for B

Answer 57

part C is a bit harder to explain

in the equation "20c" means Marla gets 20 dollars per car. if Marla only gets 10 per car now, then it becomes 10c

so for "10c" is 10 the coefficient, the variable, or the constant? pick one of these three choices.

Answer 58

constant

Answer 59

look at our definitions again.

Answer 60

a variable, which is a letter (a letter of the alphabet) that represents a number
a coefficient, which is a number attached to a letter/variable
a constant, which is a number NOT attached to a letter/variable

Answer 61

now look at 10c

which definition best describes 10?

Answer 62

coefficient,

Answer 63

awesome! so your answer for C is coefficient

and that's it! I would recommend studying the definitions of variables/coefficients/ and constants

Answer 64

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits

Answer 65

multiply the side by itself

Answer 66

so side * side = 6.25 * 6.25 = ?

Answer 67

ok

Answer 68

39.0625

Answer 69

good now round that to 3 digits

do you know how?

Answer 70

no

Answer 71

look at the third digit
39.0625

3 is the first digit
9 is the second digit
0 is the third digit

then we look at the next digit to decide if we should keep or change the third digit

Answer 72

since 6 is greater than or equal to 5 we round up to: 39.1 ft^2 = your answer

Answer 73

also can you close this question and post a new one for your next question?

Answer 74

ok

Answer 75

there should be a close question button somewhere on the screen (top left I think?)