Algebra Answers

it costs $1 to buy an apple and $2 to buy a mango, if you have $10 to spend write and inequality representing all the possible combinations of apples and mangos you could buy then graph it

Which of the following statements are true or false? Give reasons for your answer. (10)
i) In the process of learning a concept, what should be noticed and given recognition
is the end product.
ii) Capacity and volume of 3D-objects are different concepts.
iii) The sum of the interior angles of a pentagon is 450 degree
iv) All rational numbers are integers but all integers are not rational numbers.
v) (− 4 )− (− 7) = − 3

How pictorial worksheets can be used to explain the four models of subtraction?

What does “classification” mean? Explain with a suitable example how the ability of
“classification” forms a basis for the development of logical and mathematical
concept. How does this ability different from the ability of seriation?

What does “classification” mean? Explain with a suitable example how the ability of “classification” forms a basis for the development of logical and mathematical concept. How does this ability different from the ability of seriation?

Identify the possible logic used by a child who gave the following answer. 6132332=× How would you help her clear her misunderstanding. ii) Suggest an activity to help her understand the algorithm for multiplication of two fractions.

Draw pictures to represent the following: i) 3/2 x 2/3 ii) 0.25 + 0.01 + 0.1 iii) 7/8 < 12/13 iv) 0.1 > 0.08 v) 1/3 of 2/5

Aunt Lucy is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Fairview Bakery charges $3 for each cupcake, plus $25 for the large cake. Terrell's Sweet Shoppe charges $57 for the large cake and $1 for each cupcake. If Aunt Lucy orders a certain number of cupcakes, the cost will be the same at either bakery. How many cupcakes would that include? What would the total cost be?

The thickness of the ice on a lake for one week is modeled by the function:

T(d)=−0.1d3+1.2d2−4.4d+14.8

where T is the thickness in cm and d is the number of days after December 31st.

a)

Graph this function using graphing technology(desmos). Ensure your axes are properly set up, and state the domain and range that are appropriate for the situation. When do you think the warmest day occurred during the week? Justify your answer, then determine the average rate of change on a short interval near the point you chose.



b)

Determine the instantaneous rate of change at this point.



c)

Are the rates you calculated in a) and b) the same or different? Why do you think this is?

You want to make an apple juice and need 2.5 kg apples for it. You have 500.00 with you. How much will you get back if you buy 2.5 kg of apples?