Answers
Answer:
Solution !![tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]
By cross multiplication :
[tex] \implies{\sf{ {3(p + 7)} = 1{(p - 6)} }}[/tex]
[tex]\implies{\sf{3p + 27 = p - 6 }}[/tex]
[tex]\implies{\sf{3p - p = - 6 - 21}}[/tex]
[tex]\implies{\sf{2p = - 27}}[/tex]
[tex]\implies{\sf{\underline{\underline{\red{p = \dfrac{ - 27}{2}}}}}}[/tex]
Hence, the value of p is -27/2
[tex]\begin{gathered}\end{gathered}[/tex]
Verification !![tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]
Substituting the value of (p = -27/2)
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27}{2} + 7}{ \dfrac{ - 27}{2} - 6} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27 + 14}{2}}{ \dfrac{ - 27 - 12}{2} } = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 13}{2}}{ \dfrac{ - 39}{2} } = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{2} \times \dfrac{2}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{\cancel{2}} \times \dfrac{\cancel{2}}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \cancel{\dfrac{ - 13}{ - 39}} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{1}{3} = \dfrac{1}{3}}}[/tex]
[tex]\implies{\sf{\underline{\underline{\red{LHS = RHS}}}}}[/tex]
Hence Verified!
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Related Questions
A bag of 8 apples costs $1.50 at Sam’s Orchard. a. At this same rate, how much would 18 apples cost? b. How many apples could you buy for $5.00
Answers
Answer:
cost for 18 apples: $3.38
$5 will buy 26 apples
Step-by-step explanation:
let 'a' = apples
1.50/8 = cost per apple
$0.1875 for one apple
cost for 18 apples: 0.1875 x 18 = $3.38
5.00 / 0.1875 = number of apples for $5 → 26
Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)
Answers
Please help me :) 25 points
Answers
Answer:
D (bottom right)
Step-by-step explanation:
Using the vertical line test, only D passes.
Hope that helps
Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?
Answers
Answer:
Step-by-step explanation:
The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.
Pls HELP meeee. My child needs some real help I I wish I would’ve took those college lessons.
Answers
Answer:
75%
Step-by-step explanation:
100/64*48=75%
What is the rate unit of running 4 laps in one minute?
0 4
minutes
laps per minute
laps
Answers
Answer:
laps per minute
Step-by-step explanation
because it is asking you to find the unit of laps per minute.
6 times the sum of a number and ten is 60
What is the expression for this
Answers
Answer:
The equation is 6(x + 10) = 60, and the answer to the equation is 0
Step-by-step explanation:
Start by formatting the problem as [tex]6(x+10)=60[/tex]. Then, use the distributive property so that the problem is [tex]6x + 60 = 60[/tex]. After this, subtract 60 from both sides to isolate the variable, making the problem [tex]6x=0[/tex]. Finally, divide both sides by 0, which will get you an answer of [tex]x=0[/tex].
What is the factored form of 42 + 63?
Answers
Answer:
3 * 5 * 7
when i say * i mean the multiplication sign.
Step-by-step explanation:
Just ask. <3
(✿◡‿◡) HAPPY HOLIDAYS!!!
:D
Answer:
The GCF of 42 and 63 is 21. To calculate the greatest common factor (GCF) of 42 and 63, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that exactly divides both 42 and 63, i.e., 21.
Step-by-step explanation:
Add the equations.3x-y=-5
7x+y=15
Answers
Step-by-step explanation:
it is like a regular addition of numbers. you add the different positions.
3x + 7x = 10x
-y + y = 0
-5 + 15 = 10
so, D. is the right answer : 10x = 10
3 3/4 divided by 1 1/3 in fraction answer
Answers
Answer: 4/3
Step-by-step explanation:
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answers
Answer:
60%
Step-by-step explanation:
15 out of 25 is 60%
25 is the total people in the club
Hope this helps
2+2 THIS IS A LIFE OR DEATH QUESTION PLZZ
Answers
UMMM I THINK IT'S UH A CARROT, I'M SMART the real answer is 4 though lol
Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.
Answers
Answer:
[tex]\boxed{\boxed{\sf x=-3}}[/tex]
Step-by-step explanation:
[tex]\sf y = -3x - 2[/tex]
[tex]\sf y=7[/tex]
We'll substitute y into the equation:
[tex]\sf 7 = -3x - 2[/tex]
Switch sides:
[tex]\sf -3x-2=7[/tex]
Add 2 to both sides
[tex]\sf -3x-2+2=7+2[/tex]
[tex]\sf -3x=9[/tex]
Divide both sides by -3:
[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]
[tex]\sf x=-3[/tex]
Therefore, the value of x/solution is -3
________________________________________
Answer:
The value of x is
✔ –3
The solution to this system of equations is
✔ (–3, 7)
Step-by-step explanation:
Meanwhile, plants are absorbing_(H2O) through their roots and storing it within their cells
Answers
The plants intake Water and Carbon Dioxide those are the reactants And after the plant is exposed to light energy also known as sunlight it produces glucose and oxygen which is the process of photosynthesis and and it takes place in the chloroplast of a plant cell.
Step-by-step explanation:
H²O+CO²-Sunlight-C⁶H¹²O⁶+O²
Chemical Equation for Photosynthesis
Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?
Answers
Answer:
56 handshakes
Step-by-step explanation:
one person shakes seven hands
eight people shook seven hands each
8×7=56
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = –4 to x = 0.
A) None of these
B) B
C) a and b
D) c
Answers
Answer:
c
Step-by-step explanation:
Like I said in my previous answer, you have to look at the point that kinda "pokes out" of the graph, which in the interval (-4,0) is a and b
Answer:
See image.
Step-by-step explanation:
"Relative maxima" just means is this the highest spot in the graph in this very small neighborhood. (that's not a technical term)
On the interval x=-4 to x=0 is like asking you to only consider certain house addresses when you are looking for your answer. See image.
A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.
Answers
Using the normal distribution, it is found that the correct option is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesIn a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
Mean of 20 ounces, hence [tex]\mu = 20[/tex].Standard deviation of 2.3 ounces, hence [tex]\sigma = 2.3[/tex]P(Y < 16) is the p-value of Z when X = 16, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 20}{2.3}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesA similar problem is given at https://brainly.com/question/24663213
√((2+√3)÷(2-√3))
what is the answer?
Answers
f(x)=√x
g(x) = √ 2 - x, find (fºg)x.
Answers
Answer:
∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)
p-3 1/5=7 1/3 I need help
Answers
We have:
[tex]p-3\frac{1}{5} =7\frac{1}{3} => p=7\frac{1}{3}+3\frac{1}{5}= 10\frac{8}{15}[/tex]
ok done. Thank to me :>
What is the sum of (X^2-1+7-3x-x2)(x)
Answers
x^3-5x^2+6x
Step by step solution:
(x^2-1+7-3x-2x)(x)
x^3-x+7x-3x^2-2x^2
x^3+6x-5x^2
The right way to write it is the power of x decreasing so it would be x^3-5x^2+6x
Find three consecutive even integers such that the
sum of the smallest and the largest is 36.
Answers
n= smallest integer
n+2= middle integer
n+4= largest integer
n + n + 4 = 36
2n+ 4 = 36
2n=32
n= 16 which means that the smallest integer is 16
then you substitute it into the equation for the largest integer
n+4=20
16, 18, 20 is the answer
what is the explanation
Answers
Answer:
the explanation of wot
Step-by-step explanation:
If you give an explanation of something, you give details about it or describe it so that it can be understood.
what is the equation of the line that passes through point [3,-1] and has a slope of 2
Answers
Answer:
y = 2x - 7
Step-by-step explanation:
lmk if you want an explanation
Okie I need help I don’t understand thank you
Answers
Answer:
12
Step-by-step explanation:
8x+4x = 12x
-3+3= 0
12x+0=180
x=180/12
x=15
The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4
Answers
Answer:
Game #1B is the correct answer i guess so
Please help me ASAPPPPP
Answers
Answer:
20 0-6
Step-by-step explanation:
x= (2,0)
y= (0,-6)
Multiply the two fractions. Simplify your answer. 1/2 x 4/7
Answers
Answer:
2/7
Step-by-step explanation:
The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].
Given that,
Multiply the two fractions,
[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]
Used the concept of multiplication which states that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, simplify the fractions by multiplying,
[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]
[tex]\dfrac{4}{14}[/tex]
Simplify for the simplest form,
[tex]\dfrac{2}{7}[/tex]
So, the solution is [tex]\dfrac{2}{7}[/tex].
To learn more about multiplication visit:
https://brainly.com/question/10873737
#SPJ6
Which equation has a maximum at y = 5 for 0 < x < 27?
Answers
Answer:
To determine which equation has a maximum at y =5, you will need to compare their graphs looking only at the x-values between 0 and 27.
Step-by-step explanation:
Which choice shows (50+30)+40 correctly written using associative property and then correctly simplified
Answers
Answer:
The first option as you do what is in parentheses first.
Step-by-step explanation: