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Firlakuza [10]
3 years ago
10

Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s

purchase?

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0

Answer:

Inequality is 0.25x+0.5y\leq 3 and the graph is shown below.

Step-by-step explanation:

Let the number of pencils bought = x and the number of erasers bought = y.

Now, Cost of 1 pencil = $0.25. So, the cost of x pencils = 0.25x dollars

Also, Cost of 1 eraser = $0.5. So, the cost of y erasers = 0.5y dollars

Since, she spent less than $3.

So, we have the inequality,

Cost of x pencils + Cost of y erasers ≤ Maximum amount spent

i.e. 0.25x+0.5y< 3

So, the graph representing the inequality is given below.

Nady [450]3 years ago
4 0
X would have to be less than 12, y would have to be less than 6. So a graph displaying x less than or equal to 12 and y less than or equal to 6.
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cluponka [151]
The answer is " what if the electric bill increases?"
3 0
3 years ago
NEED HELP WITH A MATH QUESTION
Lady_Fox [76]

Answer:

\dfrac{18}{5}

Step-by-step explanation:

The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.

Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality

15<5x-3<17

Add 3 to this inequality

15+3<5x-3+3<17+3

18<5x<20

Divide it by 5:

\dfrac{18}{5}

3 0
3 years ago
Bonita spent $8.94 on groceries. She bought a gallon of milk for $4.29 and 3pounds of sliced turkey. How much does 1 pound of sl
Vesna [10]
<h2>Information</h2>

$8.94 spent in total on groceries

Gallon of milk = $4.29

3 pounds of sliced turkey bought = ?


<h2>Explanation</h2>

Subtract the total amount spent on groceries with what items you have prices for (in this case the gallon of milk):

$8.94 (total spent) - $4.29 (gallon of milk) = $4.65 (for 3 pounds of sliced turkey)

Next, divide the price for 3 pounds of sliced turkey with however many pounds Bonita bought (in this case, 3 pounds):

$4.65 (total for 3 pounds of turkey) ÷ 3 (pounds of turkey) = $1.55 (per pound of turkey)


<h2>Solution</h2>

Each pound of turkey costs $1.55

5 0
3 years ago
1. What are the solutions (coordinate points) to the system of equations?
Leto [7]

Question 1

The given system of equations is:

y =  {x}^{2}  + 5x + 6 \\ y = 3x + 6

Equate the two equations:

{x}^{2}  + 5x + 6 = 3x + 6

Rewrite in standard form:

{x}^{2}  + 5x - 3x + 6 - 6 = 0

{x}^{2}   + 2x = 0

x(x + 2) = 0

x = 0 \: or \: x =  - 2

When we put x=0, in y=3x +6, we get:

y = 3(0) + 6 = 6

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

y = 3( - 2) + 6 = 0

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

f(x) =  {x}^{6}  -  {x}^{4}

Let us put x=-x,

f( - x) =  {( - x)}^{6}  -  {( - x)}^{4}

This gives:

f( - x) =  {x}^{6}  -  {x}^{4}

We can observe that:

f(x) = f( - x)

This is the property of an even function.

Question 3:

The given function is

f(x) =  {x}^{2}  + 3x - 2

The average rate of change of f(x) from x=a to x=b is given as:

\frac{f(b) - f(a)}{b - a}

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

=  \frac{f(6) - f(2)}{6 - 2} \\   =  \frac{ {6}^{2}  + 3 \times 6 -  2 -  {2}^{2}   -  3 \times 2  + 2 }{4} \\   =  \frac{36 + 18 - 4  - 6}{4}  \\  =  \frac{44}{4}   \\ = 11

The average rate of change is 11

3 0
3 years ago
Your typical markup for merchandise is 40%. your cost on an item is $8.00. calculate the selling price.
adoni [48]
The selling price would be $11.20.

40% = 40/100 = 0.4

The mark up is 40% of the cost; this means 40% of 8:

40% of 8 = 0.4(8) = 3.20
8 + 3.20 = 11.20
6 0
3 years ago
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