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pychu [463]
3 years ago
6

Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack

. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy? Solve your inequality by showing your work and steps
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0
18 - 4.25 = 13.75.
13.75 - 9.75 = what is left to spend, $4.00

<span>This means she can buy no more than 8 cracker packs.</span>
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In a small town 68% of the people owned television 72% on radio and 12% owned neither television nor radio (1)represent the info
Naddika [18.5K]

Answer:

1.)

The Venn diagram is in the attachment

2).

percentage of the population that owns only television== 16%

Step-by-step explanation:

The Venn diagram Is represented in the attached photo.

Let's call The total people x

X = people that own only television+ people that own only radio+ people that own both television and radio+ people that own neither the two.

X= (0.68x -y) +(y) +(0.72x-y)+(0.12x)

X= 0.68x-y+y+0.72x-y+0.12x

X= 1.52x-y

Y= 1.52x-x

Y= 0.52x

People that own both= 52%

people that own only television

= (0.68x -y)

= 0.68x-0.52x

= 0.16x

percentage of the population that owns only television= 0.16*100

percentage of the population that owns only television= 16%

4 0
3 years ago
X Cube - 5x Square - 2 x + 24​
Otrada [13]

Answer:

(x+2)(x-4)(x-3)

(x²-4x+2x-2)(x-3)

(x²-2x-2)(x-3)

=x³-5x²-2x+24

So the answer true

8 0
3 years ago
Solve c: P = a+b+c+d / 4
m_a_m_a [10]

Answer:

  • as written: c = P - a - b - d/4
  • with parentheses: c = 4P - a - b - d

Step-by-step explanation:

The meaning of the given expression is ...

  P = a + b + c + (d/4)

To solve for c, subtract all the terms on the right side not containing c.

  P -(a + b + (d/4)) = c

  c = P - a - b - (d/4)

_____

In such equations, parentheses are commonly missing. If that is the case here, then first we undo the division by 4, then we subtract the "not c" terms.

  P = (a + b + c + d)/4 . . . . maybe what you meant

  4P = a + b + c + d . . . . . . multiply by 4

  4P - (a +b +d) = c

  c = 4P -a -b -d

8 0
3 years ago
128 POINTS IF YOU HELP
Aleksandr-060686 [28]
(A) We let y = the cost and are told x = the number of people. Since you pay $20 per person, the cost is 20x. That is, y=20x

(B) Again, let the cost =y and the number of people is given as x. You pay $10 per person or 10x plus an additional $50 for the room. That is, y=10x+50

(c) Link to graphs: https://www.desmos.com/calculator but if that doesn't work see the attachment for a screen shot. You just have to put the equations (type them) at left and the graph comes automatically.

(D) The admission price is the same when the two equations are equal. You can find this by setting them equal to each other as such: 20x = 10x+50 and solving for x. However, since you just graphed them the point of intersection (where the lines share/have the same point) gives the information. Remembers that (x,y) = (people, cost). The graphs intersect at (5, 100) so for 5 people the cost is the same and the cost is $100.

(E) For the regular rate we let x = 6 and solve for y (the cost). We get y = 20x which is y = (20)(6)=120. It costs $120 using the regular rate to take 6 people. Now let's use the equation for the group rate again with x = 6. Here we get y = 10x +50 or y = 10(6)+50 = $110. The group rate costs $110.

(F) The cost is the same at 5 people but if there are more than five the group rate is better as we saw in part E. So the regular rate is better for less than 5 people.

(G) Here y = $150. Let us use the group rate formula and solve for x (the number of people). 10x+50 = 150 so 10x = 100 and x = 10. Since 10 is more than 5 this is the better deal. However if you don't believe it or want to double check we can solve for x using y = 150 and the regular rate equation. We get: 20x = 150 so x = 7.5 Since we can't bring half a person we would only be able to bring 7 and that is less than 10 so this is not the best choice. Use the group rate and bring 10 people!

8 0
3 years ago
Read 2 more answers
What is the volume of a sphere with radius of 16 inches? Use 3.14 for π. 200.96 in3 17,148.59 in3 1071.79 in3 4287.15 in3
crimeas [40]

Answer:

17148.59 in^3

Step-by-step explanation:

This volume is calculated as follows:  V = (4/3)(3.14)(16 in)^3 = 17148.95 in^3

3 0
3 years ago
Read 2 more answers
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