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Dmitry_Shevchenko [17]
3 years ago
10

Andre received $60 for his birthday and put it in his piggy bank. Each week, he put 3 more dollars in the bank. The amount of mo

ney in dollars D in his bank is given by D = 3w + 60, where w is the number of weeks he has saved 3 dollars. His sister Lana makes a table of reasonable values for w. Lana selects 12 as a value for w.
What is the corresponding table entry for D?

A. 372
B. 96
C. 75
D. 64
Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Answer:

96 (dollars)

Step-by-step explanation:

D represents the amount of money Andre has in his bank after w weeks.  This formula is written as D(w) = 3w + 60 (dollars).

After 12 weeks, Andre will have accumulated D(12) = 3(12) + 60 dollars, or

36 + 60 dollars, or 96 dollars.  This is answer choice B.

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4 0
3 years ago
Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry foo
Ghella [55]

Answer:

PART A: Inequality (a)

Solve for y

The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the conditions.

 Inequality (b)

Solve for y

The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the conditions. The solution lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x. A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.

PART B: If a point is a solution of the system, then the point must satisfy both inequalities of the system.

For x=8, y=2. Verify inequality A  is not true. So the point does not satisfy inequality A. Therefore, the point is not included in the solution area for the system.

PART C: I choose the point (3,1) which is included in the solution area for the system.

That means Michelle buys 3 serves of dry food and 1 serving of wet food.

Step-by-step explanation:

Plz mark Brainliest?

3 0
2 years ago
I have a right triangle they need an equation from me.the truangle is X,4,7 ... Please i need help
Novay_Z [31]
X = √7²+4² by using Pythagoras Theory as the triangle is a right angled triangle
7 0
3 years ago
What is (6x+4) - (4x+2)
Nana76 [90]

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x

3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

4 + 2x = 2

7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

x = -1

11. Simplifying

x = -1

4 0
2 years ago
The answer to the problem i asked
guapka [62]
8(4x+5)=136
Multiply the number outside of the parenthesis(8) with the numbers inside the parenthesis(4x and 5).
32x+40=136
Subtract 40 from both sides
32x=96
Divide both sides by 32 so the only thing remaining on the side of the variable is only the variable itself.
Final Answer: x= 3
8 0
3 years ago
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