Answer:
<h2>
- |-11| < - (-11) </h2>
Step-by-step explanation:
Given the pair of numbers - |-11| and - (-11), we want to determine which is greater or whether they are equal
First lets rewrite both numbers.
- |-11| = -11 (note that the modulus sign will change any negative value into a positive value and that's why |-11| is equivalent to 11)
- (-11) = 11 (note that the negative sign here was retained since it is not an absolute value like the former)
It can be seen that both numbers are therefore not equal i.e - |-11| is less than - (-11). Hence the expression - |-11| < - (-11) is a true statement
<h2>52</h2>
Step-by-step explanation:
Let the number of fruit trees planted additionally be
Initially it is given that there are trees.
Number of trees after planting additional trees is
Let the yield due to each tree after planting additional trees be
Initially it is given that
Yield due to each tree after planting trees is
=
To maximise yield,we take that value of for which
=
So, and
So,32 additional trees has to be planted to maximise yield.
So,there should be 52 trees in total
It is given that Total Calories in the meal = 333
Calories per Grilled Chicken Strip = 110
# of Grilled Chicken Strips = x
Calories per Carrot = 29
# of Carrots = y
So the above information can be represented as:
Total Calories = (Calories per Grilled Chicken Strip × Number of Chicken Strips) + (Calories per Carrot × Number of Carrots)
Substituting the values in the above equation.
⇒ 333 = 110 × x + 29 × y
⇒ 110 × x + 29 × y = 333. This equation is in standard form, as an equation in standard form has the format Ax + By = C.
Out of the below options
(A) 110y = –29x + 333
(B) 29x + 110y = 333
(C) 29y = –110x + 333
(D) 110x + 29y = 333
So the standard form of equation matches with option (D), and hence the correct answer is 110x + 29y = 333
Answer:
4/15
Step-by-step explanation:
Make both fractions have equal denominators:
<u>2</u> x3 -----> 6/15
5 x3
6/15 + 5/15 = 11/15 ---> 15/15 - 11/15 = 4/15
<u>1</u> x5 ------> 5/15
3 x5
Answer:
a.
b.
Step-by-step explanation:
a. You know that the dimensions of Rectangle A are
Since Rectangle B’s dimensions are (which is 0.6 cm) larger than Rectangle A’s dimensions, then the dimensions of Rectangle B are:
Since Rectangle C’s dimensions are (which is 0.6 cm) larger than Rectangle B's dimensions, then the dimensions of Rectangle C are:
The find the total area of all three rectangles you must add the products obtained when you multiply their dimensions. Then:
b. The perimeter of a rectangle can be calculated with this formula:
Where "l" is the lenght and "w" is the width.
Knowing the dimensions of each rectangleg, you can calculate the total perimeter as follows:
Then, if a 40-cm coil of wire was used to form the rectangles, the amount of wire that is left is: