Harold buys hot dogs and water bottles for a fundraiser. He can buy a pack of 8 hot dogs for $6, and a pack of 6 water bottles for $4. He buys 192 hot dogs and bottles of water together, and spends a total of $136.

How many packs of hot dogs and packs of water bottles does Harold buy?

A. 16 packs of hot dogs and 12 packs of water bottles

B. 12 packs of hot dogs and 16 packs of water bottles

C. 10 packs of hot dogs and 15 packs of water bottles

D. 14 packs of hot dogs and 12 packs of water bottles

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:

98

Step-by-step explanation:

8 + (2 x 5) x 3^4 / 9

= 8 + (10) x 81 / 9

= 8 + 10 x 9

= 8 + 90

= 98

Answer:

For the exercise 3

1)14

2)8

3)18

Answer:

14

Step-by-step explanation:

Answer:

The water bottle holds 9 cups of water.

Step-by-step explanation:

1 bottle = 72 oz (ounces)        1 cup = 8 oz (ounces)      1 bottle = ? cups

72 ÷ 8 = 9

9 cups = 72 oz (fluid ounces)

1 bottle = 9 cups

The water bottle holds 9 cups of water.

Here, we have,

given that,

A water bottle holds 72 ounces of water.

so, we get,

1 bottle = 72 oz (ounces)

now, we know that,      

1 cup = 8 oz (ounces)      

so, we have to find that,

1 bottle = ? cups

we have,

if 8 oz = 1 cup

then, 72 oz = 72/8 cups

i.e. we get,

72 ÷ 8 = 9

9 cups = 72 oz (fluid ounces)

1 bottle = 9 cups.

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Answer: 29/8 You were correct. You cannot simplify this problem any further. :)

Step-by-step explanation:

convert to improper fraction and find the common denominator

Answer: (D)

Step-by-step explanation:

if you look at D the box is divided into 4 different part. And 3 of those parts are shaded. So if 3 out of 4 parts are shaded it would be 3/4.

Answer:

C

Step-by-step explanation:

If you divide 180 divided by 30, it will be 6, and 6 divided by 1 is 6.

30 x 6 = 180

1 x 6 = 180

30/1 = 180/6

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:

Step-by-step explanation:

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)

Answer:20 hours

Step-by-step explanation:

4 hours =10days

y hours =50days

50/10=5

5x4=20

Answer:

Tamara will receive 20 hours of paid vacation time if she works 50 days.

Hope this helps!

Step-by-step explanation:

10 days = 4 hours

10*( 5 ) = 4*( 5 )

50 days = 20 hours

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 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 answer is 5h

Step-by-step explanation:

there isnt really out numbers so the answer is just 5h.

i really hope this helped you.

Answer: 19/45

Step-by-step explanation:

1/5 + 2/9 = ?

Find the least common denominator.

which in this case is 45

5 times 9 = 45

Multiply 1/5 by 9/9

Multiply 2/9 by 5/5

9/45 + 10/45= 19/45

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:

246.000

Step-by-step explanation:

..............

Answer: here

Step-by-step explanation:

8 (1.25) x = 15 8(1.25)^x=15 8 (1.25) x = 15. There are two ways: by using a graph or by using a table. Here, I will use a graph since using a table was already discussed

Using a graphing calculator the value of x is sought by tracing from point 15 up to the curve, at the point of intersection with the curve then trace to the corresponding y direction. At 15 the f(x) is about 227

A curve that depicts an exponential function is known as an exponential graph.

The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.

An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.

The corresponding value of each point is located by tracing it using imaginary line

From the x axis at 15  draw an imaginary line up to the curve. the point of intersection of the line and the curve is traced to the y axis. The value at that point gives the required the solution

The graph is attached

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Answer:

a

Step-by-step eaxplanation:

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

The exponential functions have the values of x as;

19) 0.53

20)  5.6

We know that when we are told that a function is an exponential decay function, what it means is that the function is decreasing with time. Thus we are going to put a negative sign and the point of the exponential.

Now we have;

19)

Initial value = 100

Decay rate = 0.95

f(x) = 60

Thus;

60 =100e^-0.95x

60/100 = e^-0.95x

0.6 = e^-0.95x

ln(0.6) = -0.95x

x = ln(0.6) /-0.95

x = 0.53

For 20;

Initial factor = 5000

Decay factor = 0.7

f(x) = 100

Thus;

100 = 5000e^-0.7x

100/5000 = e^-0.7x

0.02 = e^-0.7x

ln(0.02) = -0.7x

x = ln(0.02) / -0.7

x= 5.6

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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: 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:

[tex] y = \frac{1}{7}x + 2[/tex]

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.

Answer:

18

Step-by-step explanation:

z = 7

4z - 10

= (4×7) - 10

= 28 - 10

= 18

Answer:

18

hope you like it

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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