Answer:
19.5 ounces of spices
Step-by-step explanation:
Raheem made 14 ounces of curry sauce which contained (among other things), 3.25 ounces of spices. He wants to make a larger batch for a family dinner and decides he will need a total of 84 ounces of sauce altogether. How many ounces of spices will he need to complete his recipe?
The question above is calculated as:
14 ounces of sauce = 3.25 ounces of spices
84 ounces of sauce = x ounces of spices
Cross Multiply
14x = 84 × 3.25
x = 84 × 3.25/14
x = 19.5 ounces of spices
Hence, for 84 ounces of curry sauce he would need 19.5 ounces of spices
Answer: See explanation
Step-by-step explanation:
1. ∠WOV and m∠30° are complementary angles so they should add up to 90°
∠WOV + 30 = 90
Subtract 30 from both sides
∠WOV = 60°
I used the relationship of complementary angles.
2. ∠YOZ and ∠WOV are vertical angles so they're congruent.
∠YOZ ≅ ∠WOV
∠YOZ ≅ 60°
∠YOZ = 60°
I used the relationship of vertical angles.
I hope this helped!
Answer:
Step-by-step explanation:
45x = 9*5*x
81 = 9*9
GCF = 9
Take 9 out using distributive property { a*b - c*b = b*(a-b)}
45x - 81 = 9*5x - 9*9
= 9*(5x - 9)
=9(5x-9)
Answer:
B. 5
Step-by-step explanation:
Let x = length of shorter leg
longer leg = 
times the shorter leg
5 = x
x = 5
4x² - 11x = 3
4x² - 11x - 3 = 0
4x² -12x + x - 3 = 0
4x (x - 3) + 1(x - 3) = 0
(x - 3) (4x + 1) = 0
Using zero product property,
Either,
x - 3 = 0
x = 3
Or,
4x + 1 = 0
4x = -1
x = -1/4
