Let us assume the number of sandwiches made by Deli = x
Amount of roast beef required for making 1 sandwich = (1/4) pound
Total amount of beef that Marisa started with = 5 pounds
Amount of beef that was left = (3/4) pounds
Then
[(1/4) * x] + (3/4) = 5
(x/4) + (3/4) = 5
(x + 3)/4 = 5
x + 3 = 5 * 4
x + 3 = 20
x = 20 - 3
= 17
So we can see from the above deduction that 17 Deli sandwiches was made by Marisa. I hope the procedure is clear enough for you to understand.
Answers:
x = 25 in
y = 16.3°
z = 73.7°
Explanation:
Part (a): getting the value of x:
Since the given triangle is a right-angled triangle, we can get the value of x which is the hypotenuse of the triangle using the Pythagorean theorem as follows:
(hypotenuse)² = (side1)² + (side2)²
x² = (24)² + (7)²
x² = 625
x = √625
either x = 25 in ..........> accepted
or x = -25 in .........> rejected as side length cannot be negative.
Based on the above:
x = 25 in
Part (b): getting the value of y:
Since the given triangle is a right-angled triangle, therefore, special trigonometric functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
In the given, we have:
θ = y
opposite side = 7 in
adjacent side = 24 in
Apply in the tan formula:
tan y = 7/24
y = 16.3° to the nearest tenth
Part (c): getting the value of z:
This can be solved in two ways:
Solution 1: Using angles
Sum on internal angles in a triangle is 180
90 + 16.3 + z = 180
z = 73.7°
Solution 2: Using special trig functions:
We have θ = z
opposite side = 24 in
adjacent side = 7 in
tan z = 24/7
z = 73.7° to the nearest tenth
Hope this helps :)
The mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
<h3>How to use mathematical word to describe an expression</h3>
The mathematical expression is 27x + 6x.
Mathematical expression are combinations of numbers and variables ordered with operations.
Mathematical expression is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).
For the given case, the terms are 27x and 6x and the expression formed from them is 27x + 6x.
This simply implies both terms are summed together to give the expression 27x + 6x.
Therefore, the mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
learn more on mathematical expression here: brainly.com/question/26848264
Answer:in front of the 2 and after the last 2
Step-by-step explanation:
(9*4) - ((2*5)+8)/2
36 - (10+8)/2
36 - (18/2)
36-9 = 27
