Answer:
one gadget costs $15.80
Step-by-step explanation:
Let w = cost of one widget
Let g = cost of one gadget
Given:
- Five widgets and three gadgets cost $109. 90
⇒ 5w + 3g = 109.9
Given:
- One widget and four gadgets cost $75. 70
⇒ w + 4g = 75.7
Rewrite w + 4g = 75.7 to make w the subject:
⇒ w = 75.7 - 4g
Substitute into 5w + 3g = 109.9 and solve for g:
⇒ 5(75.7 - 4g) + 3g = 109.9
⇒ 378.5 - 20g + 3g = 109.9
⇒ 378.5 - 109.9 = 20g - 3g
⇒ 268.6 = 17g
⇒ g = 15.8
Therefore, one gadget costs $15.80
To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:
⇒ w = 75.7 - 4(15.8)
⇒ w = 75.7 - 63.2
⇒ w = 12.5
Therefore, one widget costs $12.50
Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>
Answer:
third option
Step-by-step explanation:
Given
3 ![\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%265%5C%5C1%260%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Multiply each element in the matrix by 3
= ![\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%28-2%29%263%285%29%5C%5C3%281%29%263%280%29%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%2615%5C%5C3%260%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
In the given expression 
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
Step-by-step explanation:
We are given the expression
We need to give variable, coefficients and constant.
Variable: The value of variable may change. It can be represented by x, y or any other letter
Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient
Constant: It is fixed value. It cannot be changed.
So, in the given expression
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
Answer:
No, it is equal
Step-by-step explanation:
30% of 720 is 216.
