Puzzle # 1
A: :
THERE ARE 18 RED CRAYONS
AND 24 GREEN CRAYONS IN A
BASKET. WHAT IS THE RATIO OF
RED TO GREEN CRAYONS?
G:
A NEW COLOR OF GREEN
REQUIRES 5 PARTS YELLOW TO 4
PARTS BLUE IF THE PAINT MIXER
USED 30 GALLONS OF YELLOW.
HOW MANY GALLONS OF BLUE
WERE NEEDED?
3
AT YOUR NEW JOB AT THE COFFEE
SHOP, YOU SOLD 42 LARGE
COFFEES AND 54 SMALL COFFEES
WHAT WAS THE RATIO OF LARGE
TO SMALL COFFEES YOU SOLD?
UNDER A MICROSCOPE. YOU
COUNTED 48 AMOEBAS AND 56
PARAMECIUMS WHAT WAS THE
AMOEBA TO PARAMECIUM
RATIO?

1. the correct answer is 3:4

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights