Answer: The spelling questions are 10, while the vocab questions are 16.
Step-by-step explanation: Let the spelling questions be represented by letter p, while the vocab questions should be represented by v. If there is a total of 16 questions as stated, then p + v = 26
Also if there are a total of 100 points obtainable in the test, then spelling questions times 2 points (2p) plus vocab questions times 5 points (5v) equals 100 points. This can be expressed as 2p + 5v = 100
We now have a pair of simultaneous equations as follows
p + v = 26 ———(1)
2p + 5v = 100 ———(2)
Make p the subject of the equation in equation (1). p = 26 - v. Next substitute for the value of p into equation (2)
2(26 - v) + 5v = 100
52 - 2v + 5v = 100
We collect like terms and we have
5v - 2v = 100 - 52
3v = 48
Divide both sides of the equation by 3
v = 16
Now having calculated v, substitute for the value of v into equation (1)
p + 16 = 26
Subtract 16 from both sides of the equation
p = 10
Therefore, the spelling questions equals 10 in all. While the vocab questions equals 16 in all.
Answer:
the volume of the sphere will be 4 times the volume of the cone;
Step-by-step explanation:
<u>The question is on volume comparison</u>
Volume of a sphere=4/3 ×r³
Volume of a cone= /3×r²h
where r is the radius and h is the height
<u>Apply the condition</u>
If r=h=1 unit
Then volume of sphere will be= 4/3 × ×1³ = 4/3
And volume of the cone will be= /3 ×1²×1 =/3
We can see the volume of the sphere will be 4 times the volume of the cone;
4/3 = 4×/3
13.04, 13.06, 13.4, 13.6, 13.12
I think that’s right
Given:
The two points C(2,-1) and D(5,3) on a coordinate plane.
To find:
The distance from C to D.
Solution:
The distance between two points is defined by the distance formula.
The two points are C(2,-1) and D(5,3). Using the distance formula, we get
On further simplification, we get
The distance from point C to D is 5 units. Therefore, the correct option is A.