Answer:
There were 120 questions on the test.
Step-by-step explanation:
It is given that:
Number of questions answered = 54
Grade percent = 45%
Let,
x be the total number of questions
45% of x = 54
Dividing both sides by 0.45
Therefore,
There were 120 questions on the test.
Answer:
A = 210 cm²
Step-by-step explanation:
Perimeter of the triangle = the sum of the sides of the triangle.
70 = (3x - 1) + (4x + 1) + (3x)
70 = 10x
7 = x The length of the sides of the triangle are 3x - 1 = 20; 4x + 1 = 29 and
3x = 21.
Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.
Trying a² + b² = c² to see if it is a right triangle. 20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21. The longest side is the hypotenuse in a right triangle
A = 1/2bh
A = 1/2 (20)(21)
A = 10 · 21
A = 210 cm²
Simple multiplication..
24 * 24.75 = $ 594.00 <== their total value
The first thing we should do is see what relationship we have:
Table is feet to yards 3-1
a. Describe the relationship between the number of feet and the number of yards
That is to say:
1Yarda = 3 feet
b. Write an expression for the number of yards in f feet
Let
y = Yard
f = feet
We have the following expression for the conversion:
y = (1/3) f
c. Find the number of yards in 63 feet
For this case we must substitute in the expression found the value of f = 63.
y = (1/3) f
y = (1/3) (63)
y = 21
answer:
1Yarda = 3 feet
y = (1/3) f
y = 21