Step-by-step explanation:
6) x+y=60
x/y=7/5------(2)
x=(7/5)y
(7/5)y + y =60
(12/5)y=60
y=60(5/12)
y= 25
x=(7/5)y=(7/5)×25 =35
the two numbers are 35 and 25
7)distance walked by A = 4t
distance walked by B = 5t
4t+5t=27
9t=27
t=27/9=3hours
Answer: y<3
Step-by-step explanation:
Answer:
Step-by-step explanation:
The line of best fit in scatter diagram, the variable have a positive correlation.
Scatter Diagram is attached :
The lateral area of the prism is the area of the three rectangles in the middle of the net. (The two triangles are the bases of the prism, which don't count toward lateral area.) The total length of the three rectangular prism faces is (8 +15 +17) cm = 40 cm. The width of those rectangles is 11 cm. The lateral area will be the product of this length and width:
... lateral area = (40 cm)(11 cm) = 440 cm²
Hello!
Let’s work this out step by step.
The first thing you want to do is move that 48 to the other side. To do that, add 48 to both sides:
7x-5x/3(20x-8)=48
Now, the equation isn’t equal to zero… so it is solvable! Remember in order of operations: PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction. So, let’s start by multiplying the (-5x/3) by the components inside the parentheses to get rid of the parentheses altogether!
7x-100x/3x+40x/3=48
Since both the numerator and denominator have an “x” in them in “100x/3x”, you can cancel out the “x”s to just get 100/3, which is 33.333333
7x-100/3+40x/3=48
Let’s get rid of that 100/3 by adding it to both sides.
7x+40x/3=81.33333333333
Transform 7x to a fraction that can be added to 40x/3 (common denominators)
7x=7x/1
7x/1* (3/3)= 21x/3
Now, add the two fractions together
21x/3+40x/3= 61x/3
61x/3=81.333333333
Get rid of the 3 by multiplying on both sides:
61x= 244
Divide by 61 to get x
X=4
Hope this helped! Comment if you have any questions!