The manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

[tex]Initial\ Fee = \$57[/tex]

[tex]Additional = \$0.08[/tex] per mile

Plan 2:

[tex]Initial\ Fee = \$50[/tex]

[tex]Additional = \$0.10[/tex] per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

[tex]y = 57 + 0.08 * x[/tex]

Plan 2:

[tex]y = 50 + 0.10 * x[/tex]

To solve (a), we equate both plans together; i.e.

[tex]y = y[/tex]

[tex]57 + 0.08x = 50 + 0.10x[/tex]

Collect Like Terms

[tex]0.08x - 0.10x= 50 - 57[/tex]

[tex]-0.02x= -2[/tex]

Solve for x

[tex]x = -2/-0.02[/tex]

[tex]x = 100[/tex]

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

[tex]y = 57 + 0.08 * x[/tex]

[tex]y = 57 + 0.08 * 100[/tex]

[tex]y = 57 + 8[/tex]

[tex]y = 65[/tex]

Hence, the amount is $65

Answer:

2450 J

Step-by-step explanation:

mass(m)=25kg

height(h)=10m

gravity(g)=9.8

now,

PE=mgh

=25×10×9.8

=2450J

ANS

the answer is -8/5

ur welcome lolz

Answer:

The slope is -1.6

Answer:

12b+6e+9

Step-by-step explanation:

You multiply 3 with every number inside the parentheses.

(3x4b)=12b

(3x2e)=6e

(3x3)=9

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

All the fractions can simplify to 2/3

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

Step-by-step explanation:

re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.      

Answer:

Im 47 and i have no idea

Step-by-step explanation:

thanks for 5 points

Answer:

B' (0,-4)

Step-by-step explanation:

When a point undergoes a reflection across the x-axis, it follows this transformation:

(x, y) --> (x, -y)

(0, 4) --> (0, -4)

Answer:

33 texts

Step-by-step explanation:

34.99+0.15(t)=40

lets say t is number of texts

subtract 34.99 from both sides

0.15(t)=$5.01

divide 5.01 by .15

33.4

but you cant send .4 of a text

so 33 texts

Answer:

The answer is 1.5

Step-by-step explanation:

Answer:

The scale factor is = 1.5

Step-by-step explanation:

Trust me bro

Answer:

(D). (8, - 5)

Step-by-step explanation:

Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)

Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

(x² - 10x + 25) + (y² + 2y + 1) = 25

(x - 5)² + (y + 1)² = 5²

(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)

5 = (2 + x) / 2 ⇒ x = 8

- 1 = (3 + y) / 2 ⇒ y = - 5

(D). (8, - 5)

full answer:

As we know that

The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.

The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.

As

The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.  

The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.

So, in the set of ordered pairs of a relation

Answer:

7

Step-by-step explanation:

If line l is parallel to line m, therefore:

[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)

Subtract 22 from each side

[tex] 16x + 22 - 22 = 134 - 22 [/tex]

[tex] 16x = 112 [/tex]

Divide both sides by 16

[tex] \frac{16x}{16} = \frac{112}{16} [/tex]

[tex] x = 7 [/tex]

Answer: I think it 616lbs not 100% sure

Step-by-step explanation:

10^2 = 100 + 64 sweet potatoes = 164

10^1 = 10+80 tangerines= 90

10^3= 300 + 62 spaghetti squash = 362

Answer:

Step-by-step explanation:

Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.

In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:

P = 4s = 4(10.8) = 43.2 feet

Therefore, Rob needs 43.2 feet of border to place around the ceiling.

Since he has purchased 50 feet of border, he will have:

50 - 43.2 = 6.8 feet

Rob will have 6.8 feet of border left after placing it around the ceiling.

To learn more about distance from the given link:

https://brainly.com/question/30923151

#SPJ1

I believe the answer is: The tax deferred nature.

Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.

Answer:

678

678 is even, so it's divisible by 2

6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3

Since 678 is divisible by both 2 and 3, it has to be divisible by 6

Step-by-step explanation:

Answer:

B.) Carrier B

Step-by-step explanation:

The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.

Might be a bit confusing, but hope it helps.

Answer:

125*125

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

Answer:

Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar

Step-by-step explanation:

Answer:

m=-1

Step-by-step explanation:

The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:

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

m=(3-(-1))/(0-4)

m=4/-4

m=-1

its 2

Hope this helps! <3

Answer:

$190.65 for 31 hours

Step-by-step explanation:

P= ha

123=20a

123/20=a

6.15=a

P=6.15h

P= 6.15(31)

p=190.65

Answer:

the answer would be

Step-by-step explanation:

i hope this helped

If you add all four together, you get a %400 increase

Answer:

2.57575758

Explanation:

42.5 / 16.5

Answer:

30 of them were students

17 were adults

Step-by-step explanation:

bunny and rabbit problems

if they were all adults

7 x 47 = 329

329 - 269 = 60

60/ (7-5) = 30

30 of them were students

17 were adults

Answer:

The value that completes the square is: c=8

Step-by-step explanation:

Find the value of c that completes the square  [tex]x^2-16x+c[/tex]

The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]

In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,

2(x)(8) = 16x

so, c= 8

Solving:

[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]

So, the value that completes the square is: c=8

Answer:

[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]