Answer:
Write the expression as:"
70
+ 2
* 2
− 18a " ;
______________________________________________________or; write as:
______________________________________________________ "
70.32 + (2.1) * (2.7) − 18a " ;
______________________________________________________To simplify:
______________________________________________________ Using "PEDMAS" (the "order of operations") ;
the "multiplication" comes first;
So: → "(2.1) * (2.7) = 5.67 " .
And rewrite:
______________________________________________________ " 70.32 + 5.67 − 18a " .
Now: " 70.32 + 5.67 = 75.99 " ;
So, we can the final simplified expression as:
______________________________________________________ "
75.99 − 18a " ;
or; write as: "
75
− 18a " .
______________________________________________________
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
he dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∠x + 90° = 180°
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
She can walk 2.46 repeating miles in 1 hour
Step-by-step explanation:
We can write a proportion to solve this problem. Write the number of miles on top and the time in minutes on the bottom. We know 1 hour is 60 minutes.
1.85 miles x miles
------------------- = ----------------------
45 miles 60 minutes
Using cross products
1.85 * 60 = 45x
Divide each side by 45
1.85*60/45 = 45x/45
2.466666666 =x
She can walk 2.46 repeating miles in 1 hour
Answer:
AP is 11.25 so the answer is F
Step-by-step explanation:
Since they are similar triangles (due to the ~ symbol)
You can write this:
AC/XZ = AP/XQ
since XZ=12
XQ=5
AC=27
you can write:
27/12=AP/5
then cross multiply:
27x5=135
135/12=11.25
AP is 11.25
Answer:
b. (2, 5, 3)
Step-by-step explanation:
Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.
Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...
7z = 21
z = 3 . . . . . divide by 7
This answer is consistent with choice B, confirming that answer and eliminating the other choices.