please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?
Answers
Answer:
[tex](j-5)(j+3)[/tex]
Step-by-step explanation:
[tex]j^2-2j-15=(j-5)(j+3)[/tex]
The age of John’s brother is j-5 and the age of John’s sister is j+3.
Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The solution for j²-2j-15 is as follows
j²-2j-15
⇒ j²-5j+3j-15
⇒ j(j-5)+3(j-5)
⇒ (j-5)(j+3)
Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
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Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
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Answers
Answer:
M/140 = 50/60
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.
Answers
The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
The midpoint of \overline{\text{AB}}
AB
is M(-5, -2)M(−5,−2). If the coordinates of AA are (-3, 4)(−3,4), what are the coordinates of BB?
Answers
Answer:
The coordinates of b are: B=(-7,-8)
Step-by-step explanation:
We are given the coordinates of the midpoint of [tex]\overline{\text{AB}}[/tex] as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
[tex]\displaystyle x_m=\frac{x_a+x_b}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_a+y_b}{2}[/tex]
We know xa=-3 and xm=-5. Solve the first equation for xb:
[tex]2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a[/tex]
Substituting:
[tex]x_b=2\cdot (-5)-(-3)=-10+3[/tex]
[tex]x_b=-7[/tex]
We can solve the second equation for xb and get:
[tex]y_b=2y_m-y_a[/tex]
Since ya=4 and ym=-2, then:
[tex]y_b=2\cdot (-2)-(4)=-4-4[/tex]
[tex]y_b=-8[/tex]
Thus, the coordinates of b are: B=(-7,-8)
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Answers
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Step-by-step explanation:
A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.
Answers
Answer: No, the experiment is not binomial
Step-by-step explanation:
From the formula for a binomial distribution :
nCx * p^k * q^(n - x)
n = number of trials (fixed)
x = number of success on trial
p = probability of success (which is the same for each trial).
q = (1 - p) = probability of failure (same for each trial)
Binomial experiment have binary outcome ; Either Success or Failure
The experiment described above :
Number of trials is satisfied (8 picks)
Binary outcome (matches on ticket or match does not exist).
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Step-by-step explanation:
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Step-by-step explanation:
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Explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
The given equation is as follows :
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Step-by-step explanation:
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DO NOT ANSWER IF YOU DO NOT KNOW, Will give brainliest, like, comment, and 5 points to answer
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Step-by-step explanation:
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Answers
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Answers
9514 1404 393
Answer:
a line labeled g of x that passes through points (-1, -2) and (0, 2)
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Answer:
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