The answer is -1/3, -5/12, 0.66
Answer:
154,897 REGISTERED LABRADOR RETRIEVERS WERE THERE
Step-by-step explanation:
Given the statement: IN 1999, THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB.
Also, THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES
Let x represents the number of Great Danes registered and y represents the number of Labrador retrievers registered.
The statement:
"Fifteen times the number of registered great Danes " means 15x
and
"6997 more than fifteen times the number of registered great Danes" means 15x + 6997
then as per the given statement:
x = 9860 .
To solve for y;
y = 15x+ 6997
Substitute the value of x we get;
Simplify:
y = 154,897
Therefore, the registered Labrador Retrievers were there are; 154,897
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Answer:
∠ABC = 84°
∠BEF = 64°
Step-by-step explanation:
∠ABC is supplementary to the 96° angle shown, so is 180° -96° = 84°.
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∠ABD, marked as (x+y)°, is a vertical angle with ∠EBC, so has the same measure, 96°. ∠BEF, marked as y°, is a vertical angle with the one marked 2x°.
These relationships can be expressed as two equations:
Using the second of these equations to substitute for y in the first equation, we have ...
x + 2x = 96
x = 96/3 = 32
y = 2x = 2·32 = 64 . . . . . . substitute the value of x into the second equation
Then ∠BEF = 64°.
Answer:
f(x) = A*∛(x + 2) + 3
Step-by-step explanation:
Suppose a generic cube as:
f(x) = A*∛(x - b) + C
We will have a turning point at the x value:
x = b
Then if we have a turning point at (-2, 3)
This means that the turning point is at x = -2 and y = 3
Then b = -2
And our cube root function will be something like:
f(x) = A*∛(x - (-2)) + C
f(x) = A*∛(x + 2) + C
And we know that f(-2) = 3
then:
f(-2) = A*∛(-2 + 2) + C = 3
f(-2) = A*∛(0) + C = 3
= C = 3
Then the general equation will be something like:
f(x) = A*∛(x + 2) + 3
Answer:
The blue group ate 5/8 more pizza than the red group.
Step-by-step explanation:
7/8 - 2/8 = 5/8