A water bottle holds 72 ounces of water. How many cups does the water bottle hold? (1 cup = 8 fluid ounces)

Answer: The expression is not factorable with rational numbers.

Step-by-step explanation:

Use the formula (b/2) to the 2nd power in order to create a new term in order to find the perfect square trinomial. 4c2+20cd+106d2

Answer: 36100

Step-by-step explanation:

19x10

190

190^2

36100

Answer:

If the question is [tex]19 * 10^{2}[/tex], then the answer is 1,900. However, if the question is [tex](19 * 10)^{2}[/tex], then the answer will be 36,100.

Step-by-step explanation:

19 × 10^2= 19 × 100= 1,900

(19 × 10)^2= 190^2= 36,100

To find the scale of the model train boxcar, we need to determine the ratio of the actual size of the boxcar to the size of the model. We can do this by dividing the actual size of the boxcar by the size of the model:

scale = actual size / model size

Plugging in the values from the problem, we get:

scale = 606 inches / 6 inches

Simplifying this expression gives us:

scale = 101

So, the scale of the model train boxcar is 101. This means that for every 1 inch of the model, there are 101 inches in the actual size.

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1. define the variables for c and t

c =  total cost (in dollars)

t = # of movie tickets

2. draw a table

x: 1,2,3,4,5...

y: 14.25, 28.5, 42.75, 57, 71.25...

Answer:

C

Step-by-step explanation:

Answer:

Any value greater than 0.5.

Step-by-step explanation:

First, set the inequality to an equation and solve for x:

[tex]-3x+5x-2=-4x+1\\2x-2=-4x+1\\2x-2+4x=-4x+1+4x\\6x-2=1\\6x-2+2=1+2\\6x=3\\(\frac{1}{6})6x=3(\frac{1}{6})\\x=\frac{1}{2}[/tex]

This is the value at which the inequality equals 0.  To test the inequality and determine whether x is greater or less than [tex]\frac{1}{2}[/tex], choose any value of x that is easy to work with on either side of [tex]\frac{1}{2}[/tex]:

For x=0:

-3(0)+5(0)>-4(0)+1

0>1  This is not a true statement.  Therefore, x is not less than [tex]\frac{1}{2}[/tex].

For x=1:

-3(1)+5(1)>-4(1)+1

-3+5>-4+1

2>-3  This is a true statement.  Therefore, x is any value greater than [tex]\frac{1}{2}[/tex].

The vertical length is 2 units and Horizontal length is 6 units.

The distance between two (a, b) and (c, d) is

d= √(c- a)² + ( d- b)²

Given:

Points from graph (-2, 1) and (4, -1)

Using Distance Formula

d = √ ( 4 - (-2))² + (-1 - (-1))²

d= √ 6² + 0

d= 6 units

Vertical Length (-2, 1) and (-2, -1)

Using Distance Formula

d = √ ( -2 - (-2))² + (-1 - (1))²

d= √ 0 + 4

d= 2units

and Horizontal Length (-2, -1) and (4, -1)

Using Distance Formula

d = √ ( 4 - (-2))² + (-1 - (-1))²

d= √ 6² + 0

d= 6 units

Hence, the vertical length is 2 units and Horizontal length is 6 units.

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Answer:

25% change

Step-by-step explanation:

find change by diff/org

so 5/20

5/20 =?/100

multiply by 5

25/100=?/100

?=25

Answer:

1/3⁶

Step-by-step explanation:

(-1/3)⁴(-1/3)²

(1⁴/3⁴)(1²/3²)

(1/81)(1/9)

1/729

1/3⁶

hope it helps. Please mark brainliest.

Answer: Y is 9 when X is 12.

Step-by-step explanation:

Here is how you do it.

1. Make a table of x and y

x: 4,

y:3,

2. Keep continuing the table with list of numbers until x=12

x:4,8,12

y=3,6,9.

As you can see, when x is 12 y is 9.

Answer:

There are 16 nickels and 15 dimes.

Step-by-step explanation:

let x = number of dimes

let y = number of nickels

x + y = 31

.1x + .05y = 2.30

Solve x + y = 31 for x

x = 31 - y

multiple the second equation by 100 to eliminate the decimals.

10x + 5y = 230  Substitute 31 - y for x

10(31-y) + 5y = 230  Distribute the 10

310 -10y + 5y = 230  Combine like terms

310 -5y = 230  Subtract 310 from both sides

-5y = -80  Divide both sides by -5

y = 16

There are 16 nickels.

Plug in 16 for y to solve for x

x + y = 31

x + 16 = 31  Subtract 16 from both sides

x = 15

There are 15 times.

Check:

10x + 5y = 230

10(15) + 5(16) = 230

150 + 80 = 230

230 = 230

The true statement about the function in the table is that slope of m(x) is negative while slope of n(x) is positive

The equation of line in slope intercept form is written as

y = mx + c where m = slope and the y intercept is c

from the table the simultaneous equation is derived and solved as follows

-5/2 = 2m + c

1/2 = 0 + c

hence c = 1/2, solving for m gives

-5/2 = 2m + 1/2

-5/2 - 1/2 = 2m

2m = -3

m = -3/2

hence the slope is negative

for the second the values

1 = 2m + c

-1/3 = 0 + c

c = -1/3

solving for m knowing that c = -1/3

1 = 2m + (-1/3)

1 + 1/3 = 2m

4/3 = 2m

m = 2/3

hence the slope is positive

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Answer:

yes

Step-by-step explanation:

if we put 3 1/4 to decimal for we get 3.25

Trail B is shorter than that

Trail A is already 3.1

Trail B is obviously between those two

so 3.15

Answer:

Yes

Step-by-step explanation:

To determine if this is a function we can put the vertical line test into place, in which we'd go from each point and construct a vertical downward, if that line intersects with any given point it is not a function.

In this case it is a function.

Answer:

The distributive law of multiplication states that when a number is multiplied with the sum is equal to the number multiplied by each addend with the number and then sum of the both products.

by example a*(b+c)=(a*b) + (a*c)

Here the expression A is (5/6)*250

the expression B is ( 1/3 × 250 ) + ( 1/2 × 250 )

expression B is ( 1/3 × 250 ) + ( 1/2 × 250 )

=250*(1/3+1/2) applying distributive law of the multiplication

=250*((2+3)/6)

=250*(5/6)

=(5/6)*250

Therefore the expression A is equal to the expression B.

Step-by-step explanation:

Answer:

Answer is 40

Step-by-step explanation:

literally all you have to do is subtract 70 - 30 = 40

so your answer would be 40 another way is 30 + 40 = 70

just have to see what number would get you to 70 if you did the problem the second way.

The pairs of coordinates should be matched with the distances between them should be matched as follows;

Pairs                      Distance                 

(4, 2) and (1, -2)   → 5 units.

(-8, 7) and (2, -3)  → √200 units.

(9, 1) and (1, 9)      → √128 units.

(-2, -6) and (-8, 2)  → 10 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

For the ordered pairs (4, 2) and (1, -2), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(1 - 4)² + (-2 - 2)²]

Distance = √[(-3)² + (-4)²]

Distance = √(9 + 16)

Distance = √25

Distance = 5 units.

For the ordered pairs or points (-8, 7) and (2, -3), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(2 + 8)² + (-3 - 7)²]

Distance = √[(10)² + (-10)²]

Distance = √(100 + 100)

Distance = √200 units.

For the ordered pairs or points (9, 1) and (1, 9), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(1 - 9)² + (9 - 1)²]

Distance = √[(-8)² + (8)²]

Distance = √(64 + 64)

Distance = √128 units.

For the ordered pairs or points (-2, -6) and (-8, 2), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-8 + 2)² + (2 + 6)²]

Distance = √[(-6)² + (8)²]

Distance = √(36 + 64)

Distance = √100

Distance = 10 units.

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Answer:K= 240/5.9953

Step-by-step explanation: i did the math  for the first question lol

To find the distance between the points (6.6,7.9) and (6.6,4.7), we can use the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates of the two points, we get:

distance = √((6.6 - 6.6)^2 + (4.7 - 7.9)^2)

Simplifying this expression gives us:

distance = √((0)^2 + (-3.2)^2)

Which simplifies to:

distance = √(10.24)

Finally, taking the square root of both sides gives us:

distance = 3.2

So, the distance between the points (6.6,7.9) and (6.6,4.7) is approximately 3.2.

It would take 43 years for the plant specie to become invasive.

We know that the increase of the plant is following the exponential function and this can be seen from the question that we have here. We now have to create a model that we can use to solve the question.

Using

Pt = Poe^rt

Pt = population at time t

Po = initial population

r = population growth rate

t = time taken

Then;

10000 =500e^0.07t

10000/500 = e^0.07t

20 = e^0.07t

ln20 = 0.07t

t = ln20/0.07

t = 43 years

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Answer:

Option A.

Step-by-step explanation:

When x = - 5, y = - 1,

lhs of (1) = - 10 + 5 = - 5

lhs of (2) = - 1 + 2 = 1

When x = 0, y = 1,

lhs of (1) = 0 - 5 = - 5

lhs of (2) = 1 - 0 = 1

Answer: 0.78-(1-0.34)

Step-by-step explanation

To solve this equation you need to create an algebraic expression.

algebraic expression: mathematical statement with  at least 2 terms which can be numbers are variables.

To solve this expression:

1. Take the given info and put it in an equation

0.78-(1-0.34)

The median age for the Chess Club members is greater than the median age for the Checkers Club members.

Answer:

the answer to part B is 5+7+3x5

Step-by-step explanation:

Answer:

33.33M2 as a decimal and 100/3 M2 as a fraction

Step-by-step explanation:

I had the question on khan academy and got it right when I put it in as a FRACTION

Answer:

The correct choice is the first one

Step-by-step explanation:

Going via street A and street B will be 3.5 miles

Going directly along street C will be 2.5 miles