Answer: N=800/5
N=160
He needs to save $160 every week to get $800 in 5 weeks
hope this helps.
Answer:
(5/24) gallons of gas to mow the side yard
Step-by-step explanation:
We can easily solve this proble by applying a rule of three
5/16 gallons of gas --------------------------------- for 1 backyard
x gallons of gas ------------------------------------- 2/3 backyard
x = ((2/3)/1)*(5/16) gallons of gas
x = ((2/3))*(5/16) gallons of gas
x = ((10/48) gallons of gas
x = (5/24) gallons of gas
Answer:
2:40
Step-by-step explanation:
Short hand (hours): a little past 2
Long hand (minutes): 40 -- 8*5=40
Solution:
Using Substitution Method:
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
get the value of x from Equation 2
x=3y-5 (Equation 3)
Put the value of x from Equation 3 in Equation 1
-4(3y-5)+7y=-5
-4(3y)+20+7y=-5
-12y+7y=-5-20
-5y=-25
Negative sign on both sides cancels each other
y=25/5
y=5
Putting value of y in equation 3
x=3(5)-5
x=15-5
x=10
Therefore, [x,y]=[10,5]
Using Elimination Method
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
Multiply equation 2 with -4 in order to eliminate the x term
-4(x-3y)=-5*4
-4x+12y=20 (Equation 3)
Adding Equation 1 and 3
-4x+7y=-5
-4x+12y=20
+ - = - (Change Of Sign with x and y terms)
-----------------
0x-5y = -25
-5y=-25
y=5
Substituting y’s value is Equation 1
-4x+7(5)=-5
-4x+35=-5
-4x=-40
Cancellation of negative sign on both sides
x=40/4
x=10
[x,y]=[10,5]
Answer:
His jump was of 272.45 inches
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

75th percentile
X when Z has a pvalue of 0.75. So X when Z = 0.675




His jump was of 272.45 inches