Answer:
<em>Jack scored a total of -40</em>
Step-by-step explanation:
<u>Arithmetic</u>
Jack took a test where the correct answers are given as positive numbers and the incorrect answers are negative numbers.
The scores were
-65,-10,-15,20,30
The total score is the arithmetic sum of all scores, including their signs:
Total score: -65-10-15+20+30
Total score: -40
Jack scored a total of -40
Step-by-step explanation:
See whenever we have two variables like x and y.
And also we have given two equations in terms of x and y.
Example: ax + by = p and cx + dy = q
In order to get the solution, we need to find the value of x and y using the given two equations.
So here what we can do is:
Consider any one equation and get x or y from that equation.
i.e consider ax + by = p or x = 
Now plug value of x (or y) from the equation you have considered into the another equation.
i.e c()+dy = q
Now solve this equation to get y (or x).
and after that we can find the other variable.
The Statue of Liberty is 93 meters tall. If you have a model that is 9.3 centimeters and is 1/1000 the size of the actual Statue, then you would multiply the model by 1000 to get 9,300 centimeters. To get this number in meters, you would divide your result by 100. This would give you 93 meters.
Sorry if the explanation is worded poorly, the answer is 93 meters.
This question requires creating a few equations and working through them step-by-step. Now, first let's give each of the shapes a variable: let's say that the blue shape is a, the orange shape is b and the green shape is c.
1. We can technically create six formulas for the magic square, with three for sum of the rows and three for the sum of the columns, however the smartest way to approach this is to observe whether there are any obvious answers that we can get.
We can see in row 2 that there are three of the same shape (a) that add to 57. This makes it very simple to calculate the value of the shape.
Since 3a = 57
a = 57/3 = 19
2. Now we need to find a row or column that includes a and one other shape; we could choose either column 2 or 3, so let's go with column 2. Remembering that the blue shape is a and the orange shape is b:
2a + b = 50
Now, given that a = 19:
2(19) + b = 50
38 + b = 50
b = 12
3. We can now take any of the rows or columns that include the third shape (c) since we already know the values of the other two shapes. Let's take column 1:
a + b + c = 38
19 + 12 + c = 38
31 + c = 38
c = 38 - 31
c = 7
Thus, the value of the blue shape is 19, the value of the orange shape is 12 and the value of the green shape is 7.
Answer:
x = 34
Step-by-step explanation:
This is a straight line so the sum of angles must be 180°
4x + 20 + x - 10 = 180 add like terms
5x + 10 = 180 subtract 10 from both sides
5x = 170 divide both sides by 5
x = 34
To calculate each angle we replace x with the value we found
4x + 20 ➡ 4×34 + 20 = 156
x - 10 ➡ 34 - 10 = 24
