Answer:
Q2. Original 100%
New Selling price=100% - 25% = 75% of original
Sale price of bracelet= 75/100 × 44 = $33
Q3. 100%- 25%= 75%
Cost of table= 75/100 × 425= $318.75
Alternatively,
Discount= 25/100 × 425 = $106.25
Cost of table= $425- $106.25= $318.75
Q4. 10 cans ---- $4
1 can= 4÷10 = $0.40
15 cans= $0.40 ×15 = $6
Q5. Total number of children= 35+5= 40
Total people= 10+40 = 50
Thus, the ratio is 40:50= 4:5 (<em>divide by 10</em>)
Answer:
C. RTS
Step-by-step explanation:
When two triangles are congruent, they will have congruent vertices, like each vertex has a partner.
Take a look at the shape of the triangle.
If you look at the triangle on the right, you can see it is almost like a right triangle.
"R" is at the right angle. "S" is on the short side and "T" is on the long side.
In the triangle on the left, "M" is at the right angle. "N" is on the short side and "O" is on the long side.
Thus, the pairs of congruent angles are:
M ≅ R
O ≅ T
N ≅ S
When you write the statement of congruence between triangles, order the letters by their congruent pair.
MON ≅ RTS
Answer:
b=(-10-a)/4
First factor out the common number:3
Then divide both sides by 3
Then simplify 30/3 to 10
Then subtract a to get your answer
Answer:
0.683
Step-by-step explanation:
We have to find P(-1<z<1).
For this purpose, we use normal distribution area table
P(-1<z<1)=P(-1<z<0)+(0<z<1)
Using normal area table and looking the value corresponds to 1.0, we get
P(-1<z<1)=0.3413+0.3413
P(-1<z<1)=0.6826
Rounding the answer to three decimal places
P(-1<z<1)=0.683
So, 68.3% of the z-scores will be between -1 an 1.
Answer:
The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)
<u>Solution:</u>
Given, equation is 
We have to find the vertex of the given equation.
When we observe the equation, it is a parabolic equation,
We know that, general form of a parabolic equation is
Where, h and k are x, y co ordinates of the vertex of the parabola.

By comparing the above equation with general form of the parabola, we can conclude that,
a = -6, h = 1 and k = 9
Hence, the vertex of the parabola is (1, 9).