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3 years ago

If Bob has 35 nickels in his piggy bank, how many cents does he have in all?

Mathematics

1 answer:

aliya0001 [1]3 years ago

4 0

Answer:

He would have $1.75, or one dollar and seventy-five cents.

Step-by-step explanation:

Multiply 35 by 5. 35*5 = 175. 175 would equal to $1.75.

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A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct t

timofeeve [1]

Answer:

$-3 +2y \leq 4x$

$2y \leq 4x+3$

$y \leq 2x + \frac{3}{2}$

And that's different from the claim of the student that:

$y \geq 2x +\frac{3}{2}$

The error of the student is that he/she changes the sign of the inequality from $\leq$ to $\geq$ and that's not possible since we don't multiply both sides of the equation by -1

Step-by-step explanation:

For this case we have the following inequality:

$-3 +2y \leq 4x$

We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:

$2y \leq 4x+3$

Now we can divide both sides of the inequality by 2 and we got:

$y \leq 2x + \frac{3}{2}$

And that's different from the claim of the student that:

$y \geq 2x +\frac{3}{2}$

The error of the student is that he/she changes the sign of the inequality from $\leq$ to $\geq$ and that's not possible since we don't multiply both sides of the equation by -1

5 0

3 years ago

You have $110 to spend at the mall. You want to buy at most 6 articles of clothing. A clothing store sells shirts for $12 and pa

gladu [14]

Answer:

Part a) The graph in the attached figure (see the explanation)

Pat b) see the explanation

Step-by-step explanation:

Part a) Write and graph a system of linear inequalities that represents this situation

Let

x ----> the number of shirts you can buy

y ----> the number of pants you can buy

we know that

The word "at most" is the same that " less than or equal to"

The word "at least" is the same that " greater than or equal to"

$x+y \leq 6$ ----> inequality A

The amount you have to spend minus the number of shirts multiplied by its price minus the number of pants multiplied by its price must be greater than or equal to $20

$110-12x-18y \geq 20$

Rewrite

$12x+18y\leq 90$ ----> inequality B

using a graphing tool

see the attached figure

Part b) How many shirts and pairs of pants can you buy at the store?

The solution of the system of inequalities is the shaded area

The solution is all whole numbers included in the shaded area

Example

(0,5),(3,3),(6,0), (3,2),...

6 0

3 years ago

How to break down 4/5 + 13/15 = 1 2/3

nalin [4]

Answer:

Step-by-step explanation:

The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3

To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15

Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes

12/15

Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes

13/15

The equation becomes

(12 + 13)/15 = 5/3

25/15 = 5/3

Simplifying 25/15 to its lowest terms, it becomes 5/3 so

5/3 = 5/3

6 0

3 years ago

Read 2 more answers

ASAP work pls answer

maxonik [38]

C because i did it and got it right

4 0

3 years ago

A sculptor needs to lift a piece of marble.

Dennis_Churaev [7]

Answer:

486kg

Step-by-step explanation:

density = mass / volume

2.7 = m / (100 x 60 x 30) **** Note the conversion to cm as the density is given in g/cm.

2.7 = m / 180000

m = 486000g

Now convert to mass in kg:

486000 g x 1 kg / 1000 g = 486kg

4 0

3 years ago

Read 2 more answers