(k + k)(4) =
5x - 6 + 5x - 6 = 10x - 12 =
10(4) - 12 = 40 - 12 = 28
The answer is 28
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:
Cinco de Mayo is celebrated on May 5, the date that the Mexican Army won and broke away from the French Empire, Battle of Puebla on May 5, 1862. The battle lasted for about 2 years, making it start in 1861. The reason why this began was because Mexico wanted to be independent. So the Mexican troops turned against the French Government. (At the time it was their own government.) Not that many casualties had accrued though, the French had nearly 500 people get hurt at Puebla, including more than 100 killed in action. Mexican losses were about 85 dead and more than 100 wounded.
Cinco de Mayo means 5th of May, The date that they won the battle. People celebrate this holiday in many ways, the biggest ones being Festivals, Parades, and Parties. They celebrate with dancing, and dressing up, and the one of the most known, food and drinks, like tacos, guacamole and tequila. Since that war declared there freedom this made it a pretty big Mexican holiday, like Day of the Dead.
Answer:
std dev = 0.625
Step-by-step explanation:
Given that weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standard deviation .6 ounces.
We must change std deviation such that
P(X<12) =0.01
Mean would remain the same as 12.8 oz
From normal distribution score we can find
10th percentile is -1.28\
i.e. we must have
Std deviation should be 0.625
Pizza palace cuts the medium size pizza into 8 slices.
Pizza pioneers cuts the same size pizza into 16 slices.
Jasmine ate 4/16 pizza in Pizza pioneers,
The ratio of Pizza palace slices to Pizza pioneer slices is;
Pizza palace : Pizza pioneer = 8 : 16 = 1 : 2
Let fraction of pizza in Pizza palace to 4/16 pizza in Pizza pioneer be;
x : 4/16 , Simplified becomes x : 1/4
<u>Comparing ratios:</u>
Pizza Palace slices : Pizza Pioneer slices = 1 : 2
and
Pizza Palace fraction : Pizza Pioneer fraction = x : 1/4
As Pizza Palace slices are half those in Pizza pioneer;
x should be half the fraction of slices Jasmine ate in Pizza Pioneer
i.e x = 1/2 × 1/4 = 1/8
Therefore the fraction of pizza from Pizza Palace which is equal to 4/16 slices from Pizza Pioneer is 1/8 .
