A slow steady rainstorm lasted all day. The rain was falling at a constant rate.

1. Write an equation that relates how much rain has fallen and how long it has been raining.

2. How long will it take for 5cm of rain to fall?

[tex]\large\underline{\sf{Solution-}}[/tex]

Given info:

6885 ÷ 46

Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.

Let's solve!!

[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]

[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]

[tex] \sf{Now,} \\ [/tex]

[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]

[tex] \sf = 46 \times 149 + 31 \\ [/tex]

[tex] \sf = 6854 + 31 \\ [/tex]

[tex] \sf{ = 6885} \\ [/tex]

[tex] \sf = \red{ Dividend}. \\ [/tex]

Answer: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

4 hours goes into 100 miles 25 times.

Answer:

y=3x+1

Step-by-step explanation:

m= [tex]\frac{-2-(-8)}{1-3} =\frac{-6}{2}[/tex] or -3

-8= -3(3) + b

-8= -9 + b

+9     +9

1=b

Then put in slope intercept form:

y= 3x+1

Hope this helps! :)

Answer:

267 (please double check this!!!)

Step-by-step explanation:

Separate the block into sections that you can find the volume for easily and figure out the measurements for each

the two smaller blocks on top will be symmetrical

the bottom area is 5 high and 3 deep and you get the length by adding 4+5+4 because that's the length of the whole thing

so 13*3*5 = 195

The two smaller blocks is just adding a *2 once you figure out the one

it's 3 deep still and 4 wide, if you subtract the total height from the height given of the bottom part you get 3

3*4*3 = 36

you have another one of those blocks so it'd be 36*2

then you add them both 72+195 = 267

Answer:

1.FILTER WATER 2.FILTER CLOTH

3.LIQUIDS

4.INSOLUBLE

5.DIFFERENCE

Answer:

75.4

Step-by-step explanation:

Answer: 75.4 yd

Step-by-step explanation:

Using the formulas

C = 2 π r

d = 2 r

Solving for C

C = π d = π x 24 = 75.39822 yd

75.39822 rounded up is 75.4 so the answer is 75.4 yd.

money

shopping

dividing

Answer:

10%

Step-by-step explanation:

please tell me if im right or wrong

Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

Answer:

1.

a = 1.96

( 1.4 x 1.4)

b= 3750

c= 1/48

2.

a= 2?

dont take my word on that but here.( An arithmetic sequence is any list of numbers that differ, from one to the next, by a constant amount. For example, the list of even numbers, 0,2,4,6,8… is an arithmetic sequence, because the difference from one number in the list to the next is always 2.[1] If you know you are working with an arithmetic sequence, you may be asked to find the very next term from a given list. You may also be asked to fill in a gap where a term is missing. Finally, you might want to know, for example, the 100th term, without actually writing out all 100 terms. A few simple steps can help you do any of these.

b= 3

c= 16-4a

( IM NOT SO CONFIDENT ABOUT 2)

3.

a= 17

b= ( 2squared - 1)

Step-by-step explanation:

Answer:

thank you for the points bozzo

Answer:

D. x = 4

Step-by-step explanation:

2x – 1= 7

add 1 to both sides:

2x=8

divide both sides by 2:

x=4

One solution.

Step-by-step explanation:

please the information needed is up the paper. you took a picture of no. 2 instead of no. 1

Answer:

Yes

Step-by-step explanation:

(I can only read the graph).

Since for each dot, a vertical line drawn through it only intersects that dot, we conclude that the relation is a function.

Answer:

g vs lhnkdeugyvsvjxbd shall

Using compound interest, it is found that:

a) The monthly payments are of $3,401.49.

b) The total of all monthly payments for 30 years is of $1,224,536.

c) The total interest is of $794,536.

d) The total interest is greater.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For the parameters, we have that:

For practicality, first we are going to solve item b.

Item b:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(30) = 430000\left(1 + \frac{0.0355}{1}\right)^{30}[/tex]

[tex]A(30) = 1224536[/tex]

The total of all monthly payments for 30 years is of $1,224,536.

Item a:

$1,224,536 is paid in 30 x 12 = 360 months, hence:

1224536/360 = $3,401.49.

The monthly payments are of $3,401.49.

Item c:

The interest is the total subtracted from the principal, hence:

1224536 - 430000 = $794,536.

The total interest is of $794,536.

Item d:

Loan of $430,000, interest of $794,536, hence the total interest is greater.

You can learn more about compound interest at https://brainly.com/question/25781328

9514 1404 393

Answer:

Step-by-step explanation:

We want ...

  revenue ≥ cost + desired profit

  60x +15000 ≥ 18x + 57000 . . . . . . an inequalty

  42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000

  x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42

The group needs at least 1000 cyclists to raise at least $57,000.

2&3

Step-by-step explanation:

You have to factorise the second equation and you have to solve it. so you have x²-2x-3x+6

x(x-2)-3(x-2)

(x-2)(x-3)=0

Then you have to find x for each equation.

x-2=0

x=2

x-3=0

x=3

So the restricions are 2&3.

The value of each digit in a number is known as the place value. The number 245,382 to the nearest hundred place value is 245,400.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

The given number 245,382 can be rounded off to the nearest given place values as,

A.) hundred

The hundred is the third place in any number from the right end since the second value is 8 which is close to 10, therefore, the hundred place value will be rounded off to the next number.

245,400

B.) ten-thousand

The ten-thousand is the fifth place in any number from the right end since the fourth value is 5 followed by 382 which is more close to 50,000 than 40,000 , therefore, the ten-thousand place value will be rounded off to the next number.

250,000

C.) ten

The ten is the second place in any number from the right end since the first value is 2 which is close to 0, therefore, the ten place value will be the same while the first place will become zero.

245,380

D.) thousand

The thousand is the fourth place in any number from the right end since the third value is 3 which is close to 0, therefore, the thousand place value will be the same while the third place and the ahead will become zero.

245,000

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

Answer:

The first numbers in the sets are input and the second numbers are outputs.

1. {(1, 1), (2, 3), (3,5)}

2. {(6,2), (5, 3), (4,8)}​

To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is

4 : 2 .

But this ratio can be simplified in the same way that two fractions can be simplified. We just

cancel by a common factor. So

4 : 2 = 2 : 1 .

Answer:

$80

Step-by-step explanation:

192÷12=16

16•5=80

Answer:

Elena puts in $80 into her savings account

Step-by-step explanation:

You need to multiply 5/12 and 192. Think of "5/12 x 192" as "5/12 of 192." If you don't know how to multiply a fraction with a whole number, you can convert the fraction to a decimal. Hope this helps!

Answer:

Second Choice

Step-by-step explanation:

The vertex form can be expressed as:

[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]

We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:

[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]

Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.

[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]

Therefore a = 2.

Hence:-

[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]

Answer:

im pretty sure its B

Step-by-step explanation:

I THINK SOOO AHH

Answer:

m=234

Step-by-step explanation:

239-7=232

The equation now looks like this:

232=m-2

Add 2 on both sides:

m=234

Hope this helps!