Answer:
B
Step-by-step explanation:
The answer would be anything LESS than ten, thats what the < means
So y=mx+b
the 'm' part means the slope which is found by 'rise/run'
a. y=2x+3 or y=2x+3
b. y=-1x+6
c. i'm not sure what this part means
d. this means 'what values will work for x and y in both equations at once so
y=-x+6 and y=2x+3
y=-x+6
add x to both sides
x+y=6
subtitute 'y=2x+3' for y in x+y=6
x+(2x+3)=6
collect like terms
3x+3=6
subtract 3 from both sides
3x=3
divide both sides by 3
x=1
sibtitue into x+y=6
1+y=6
subtract 1 from both sides
y=5
(1,5) is the solution (x,y)
Question 2
so amount of peanuts (x) =60%
ammount of almonds (y)=40%
y=2(1/3x) or y=2/3x
so there is a mixture that is8/10 almonds
for
a. i'm not sure about this one
b. so 60% of 5 pounds=3 pounds
40% of 5 pounds=2pounds
we need to find out how many pounds, times 8/10, = 2pounds
she will need 2.5 pounds of the pure peanuts and 2.5 pounds of the almond-peanut mixture
Answer: x = 1/2, y = 4
Step-by-Step Explanation:
Lets solve it using Substitution Method :-
=> 2x + 3y = 13 (Eq. 1)
=> 4x - y = - 2 (Eq. 2)
From Eq. 2 :-
=> 4x - y = - 2
= - y = - 2 - 4x
=> y = 4x + 2 (Eq. 3)
Substitute value of ‘y’ in Eq. 1 :-
=> 2x + 3y = 13
= 2x + 3(4x + 2) = 13
= 2x + 12x + 6 = 13
= 14x = 13 - 6 = 7
=> x = 7/14 = 1/2
Substitute value of ‘x’ in Eq. 3 :-
=> y = 4x + 2
= y = 4(1/2) + 2
= y = 4/2 + 2
=> y = 2 + 2 = 4
Therefore; x = 1/2, y = 4
Answer: 5808000 ways
Step-by-step explanation:
When it comes to selection, the combination formula is used to calculate the number of ways an item can be selected.
Using the combination formula of picking "r" items from a total of "n" items, the number of ways become:
nCr = n! /(n-r)! × r!
Hence,
to choose 3 different beverages from possible 12 = 12C3 = 220
to choose 3 different appetizers from possible 12 = 12C3 = 220
to choose 3 different deserts from possible 10 = 10C3 =120
Total number of ways to choose this meal = 220 × 220× 120 = 5808000 ways
Let the number be x.
The product of two and a number is less than twenty is 2x < 20
