Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca

$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes

and bottles of water.

a. Choose variables for the two unknown quantities in the problem and tell wha

each variable represents.

b. Use the variables you chose in problem 3a to write an equation for the amour

of money Mr. Lincoln spends.

c. Use the variables you chose in problem 3a to write an equation for the numbe

of drinks Mr. Lincoln buys.

d. Solve the system of equations. How many packs of juice boxes and how many

packs of water does Mr. Lincoln buy? Show your work.

SOLUTION

my

Answer:

Step-by-step explanation:

área = base multiplicada por altura

72 m² = 18 m × altura

Altura = 72/18 = 4 m

Answer:

y=-2/3x+11

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-5)/(6-9)

m=2/-3

m=-2/3

y-y1=m(x-x1)

y-5=-2/3(x-9)

y=-2/3x+18/3+5

y=-2/3x+6+5

y=-2/3x+11

Answer:-4m+1/6

Step-by-step explanation:2/3(3m-2)-3/8(8m-2)

distribute

=(2/3(3m)+(2/3)(-2)+-6+3/2

=2m+-4/3+-6m+3/2

combine like terms:

=2m+-4/3+-6m+3/2

=(2m+-6m)+(-4/3+3/2)

=-4m+1/6

Answer:

2x+y= -2, x + 2y = 2

x+y=3 , 2x-8y = 19

6x^2+3y^2=12 , x +y = 2

Answer:

-12.5%

-14.29%

Step-by-step explanation:

For #2:

Original price is $2.00, that price decreased by $0.25 is $1.75. First figure out what $0.25 out of $2.00 is as a percent:

0.25/2.00 = 0.125 = 12.5%

Then, since the price DECREASED by $0.25, the percent would be negative.

For #4:

Original price is $3.50, that price decreased by $0.50 is $3.00. Like #2, you need to figure out what $0.50 out of $3.50 is as a percent:

0.50/3.50 = 0.1429 = 14.29%

Then, since the price DECREASED by $0.50, the percent would be negative.

Answer:

219

Step-by-step explanation:

Just take 232 minus 13, you get 219

Answer:

219

Step-by-step explanation:

13+c=232

subtract 13 from each side

c=219

hope this helps :)

Answer:

Step-by-step explanation:

b is the independent variable.

m is dependent on b.

If 100 boxes are sold, the money collected is 30·100 = $3,000.

They collected $1530.

$1530 × (1 box)/($30) = 51 boxes sold

Answer:

c) 3x - 45 = 10

Step-by-step explanation:

[tex]\frac{1}{5}x-3=\frac{2}{3}\\\\\frac{1}{5}x-\frac{3*5}{1*5}=\frac{2}{3}\\\\\frac{x-15}{5}=\frac{2}{3}\\[/tex]

Cross multiply,

3*(x - 15) = 2*5

3*x - 3*15 = 10

3x - 45 = 10

Answer:

64

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Step-by-step explanation:

You can find the area of a right triangle the same as you would any other triangle by using the following formula:

A = (1/2)bh, where A is the area of the triangle, b is the length of the base and h is the height of the triangle; However, with a right triangle, it's much more convenient in finding its area if we utilize the lengths of the two legs (the two sides that are shorter than the longest side, the hypotenuse and that are perpendicular to each other and thus form the right angle of the right triangle), that is, since the two legs of a right triangle are perpendicular to each other, when we treat one leg as the base, then, consequently, we can automatically treat the length of the other leg as the height, and if we initially know the lengths of both legs, then we can then just plug this information directly into the area formula for a triangle to find the area A of the right triangle.

For example: Find the area of a right triangle whose legs have lengths of 3 in. and 4 in.

Make the 4 in. leg the base. Since the two legs of a right triangle are perpendicular to each other, then the length of the other leg is automatically the height of the triangle; therefore, plugging this information into the formula for the area of a triangle, we have:

A = (1/2)bh

= (1/2)(4 in.)(3 in.)

= (1/2)(12 in.²)

A = 6 in.² (note: in.² means square inches)

Answer:

1/ 6

Step-by-step explanation:

Answer: 45/11

Step-by-step explanation: You would do 5/1 then 9/11 times that which is 45/11

Answer:

1/2

Step-by-step explanation:

find the slope (1,1) and (2,3) do change in y over change in x then simplify

Answer:

2

Step-by-step explanation:

Find 2 easy-to-read points. Points that easy to read are on the intersection of grid lines.

For example, choose (1, 1) and (2, 3).

slope = rise/run

rise = difference in y

run = difference in x

Start at point (1, 1). To go to point (2, 3), first you go up 2 units. The difference in y is 2, so the rise is 2. Then you go 1 unit to the right. The difference in x is 1, so the run is 1.

slope = rise/run = 2/1 = 2

Answer: slope = 2

Answer:

Option c

Step-by-step explanation:

-2x-10=-2(x+5)

Answer:

second is the answer okkkkkkkkkkkkkkkk

Answer:

17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds

Step-by-step explanation:

From the picture attached :

The shortest distance cycled :

17.25 < 25.80 < 27.42

Hence, shortest distance cycled is : 17.25

Shortest cycling time :

1:01:13 < 1:50:05 < 1:56:20

Hence, shortest distance cycled is : 1:01:13

Total cycling time:

1:01:13 + 1:50:05 + 1:56:20

1 + 1 + 1 = 3 hrs

01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes

13 + 05 + 20 = 38 seconds

Total cycling time :

(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds

Answer:

Step-by-step explanation:

The sum of these angles must equal 360 degrees.

x+63+55=360

x+118=360

x=242

Answer:

Scalene Traingle

Step-by-step explanation:

Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!

Answer: 8

Step-by-step explanation:

4x8= 32

32x8= 256

256x8= 2048

Answer: b

Step-by-step explanation:

Answer:

1,290,000

Step-by-step explanation:

hecker skills

Answer:

Negative

Step-by-step explanation:

That's the answer........

Answer: C

Step-by-step explanation: I took the test