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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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6 0
3 years ago
Casey is six times as old as Ralph. In two years, she will be four times as old as Ralph. How old is each of them now?
lisov135 [29]

Ralph is 3 years old

Casey is 18 years old

Step-by-step explanation:

Let the age of Ralph be x

Then Casey is 6 times as old as Ralph will be 6x

In two years

Ralph =x+2

Casey=6x+2 ⇒ 4(x+2)

Equate the two equations for Casey as

6x+2 = 4x+8

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2x=6

x=6/2= 3

Current age;

Ralph= x= 3 years old

Casey=6x = 6*3= 18 years

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Forming expressions and solving equations;brainly.com/question/1280754

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4 0
3 years ago
HELP IS OVERDUED AND I NEED THE CORRECT ANSWER AND WORK BY TODAY BEFORE SHE COUNTS IT LATE!!!!! ALMOST 3:20am!!!!! The answer wr
Nuetrik [128]

Answer:

978 in^2

Step-by-step explanation:

the area of the rectangle:

24in X 30in = 720 in^2

the area of the two similar triangles:

12 X 9 / 2 + 12 X 9 / 2 = 108 in^2

the area of the last triangle:

20 in X 15 in /2 = 150in^2

.

the total area is the sum of the areas:

720in^2 + 108in^2 + 150in^2 = 978in^2.

7 0
3 years ago
Please answer these questions
puteri [66]

Answer:

Step-by-step explanation:

(1)The units for measuring angles are degrees and radians

A circle is 360° which is equal to 2π radians

1°=π/180

To convert angle measurement from degrees to radians multiply the value of degrees by π/180

(11)

To convert angle measurement from radians to degree multiply the value of radian by 180/π

(111)Yes it matters because you will use different formulas to calculate the length of the arc

For example , when the central angle is in radians, the formula to apply is;

⇒     S=rФ -------------where  r is the radius of circle and Ф is angle in radians and S is the arc length.

⇒   When the central angle value is in degrees , the formula to apply is

Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle

2. sin\frac{17\pi }{6} \\

we know π=180°

hence 17/6 π=?---------------cross multiply

\frac{17\pi }{6} *180\\\\\\=17\pi *30\\\\\\=510\pi

Apply trigonometry

Find sine 510°

Sine (510°-360°)= sine 150°

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This means sine 510° = 1/2

6 0
3 years ago
Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are propor
docker41 [41]

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

\dfrac{35}{7}=5

\dfrac{70}{14}=5

\dfrac{105}{21}=5

\dfrac{140}{28}=5

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

\dfrac{y}{x}=k

Here, k=5.

\dfrac{y}{x}=5

y=5x

Hence the rate of change is constant that is 5.

8 0
3 years ago
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