3p-1=5(p-1)-2(7-2p)
Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
Reorder the terms:
-1 + 3p = -5 + -14 + 5p + 4p
Combine like terms: -5 + -14 = -19
-1 + 3p = -19 + 5p + 4p
Combine like terms: 5p + 4p = 9p
-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
What is the greatest common factor of 45 and 60?
Answer:
60 is correct answer by method of hcf
Answer:
The greatest common factor of 45 and 60 is 15
Step-by-step explanation:
4x+ 2( 3 – 3x) = 6 answer
Answer:
0
Step-by-step explanation:
4x+ 2( 3 – 3x) = 6
4x+6-6x=6
6-2x=6
6-6=2x
0/2=x
x=0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]4x+2\left(3-3x\right)=6[/tex]
Expand:
[tex]4x+2\times3-2\times3x=6[/tex]
[tex]4x+6-6x=6[/tex]
[tex]-2x+6=6[/tex]
Subtract 6 from both sides:
[tex]-2x+6-6=6-6[/tex]
[tex]-2x=0[/tex]
Divide both sides by -2:
[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]
[tex]x=0[/tex]
if f(x) = 2x+4 find the values of x so that f(x)=24
24 = 2x + 4
2x = 20
x = 10
.......................
Show Your Work. Find The Length of SU ~(Will Give Brainliest) :)
Answer: 14
Step-by-step explanation: 14 because QU is 24, RU is 19, so SU has to be 14. 24-5=19 19-5=14
Answer:
14
Step-by-step explanation:
QR = 5 RS = 5 and ST = 5
If all of these distances are equal to 5 then all you need to do is subtract the distance of RU, which is 19, from ST, which is 5, and that'll be your answer.
0.77 in scientific notation
Answer:
7.7 x 10 ^-0.1
Step-by-step explanation:
you move the decimal till it is behind the the first number. making it a whole number.
hope this helps
Help help help help please-
Answer:
x = 17
Explanation:
Notice that all three of the angles combined create a straight angle. This means that the sum of all three angles is equal to 180 degrees.
Create your equation (7x - 2) + (2x + 4) + (25) = 180
Combine like terms 9x + 27 = 180
Subtract the constant from each side 9x = 153
Divide each side by the coefficient x = 17
You can check your work or find each individual angle by substituting 17 in for x.
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery Curtis drive 6 miles
How much does Curtis charge to deliver food ??
I thought I had the right answer but apparently I don't. Help would be greatly appreciated. Thank you!
Answer:
1/36
Step-by-step explanation:
To get a sum of 2, both dice must roll a 1.
The probability of a 1 on the first die is 1/6.
The probability of a 1 on the second die is 1/6.
Therefore, the probability of rolling both 1s is:
P = 1/6 × 1/6 = 1/36
Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?
If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.
In this problem,
n = 4
2^4 - 1 = 16 - 1 = 15 proper subsets
-6(-2x² + 6-3w²)
they said to remove the parenthesis using distributive property helpp me
Answer:
=18w2+12x2−36
Step-by-step explanation:
I hope this helps you
Answer:
18w^2+12x^2−36
Step-by-step explanation:
Which expressions are perfect square trinomials? Select the three correct answers.
Answer:
w²-24w+144
y²+6y+9
x²+20x+100
Step-by-step explanation:
w²-24x+144 = (w-12)²y²+6y+9 = (y+3)²x²+20x+100 = (x+10)²Justin and Tyson are beginning an exercise program to train for football season and want to build muscle. Justin weighs 150 pounds and hopes to gain 2 pound per week. Tyson weighs 160 pounds and hopes to gain 1 pound per week. After how many weeks will they weigh the same amount?
Answer:
At 15 weeks they will both weigh 180
Step-by-step explanation:
150 + 2w = 195 - w
2w + w = 195 - 150
3w = 45
w = 45/3
w = 15 <=== they will weigh the same at 15 weeks
150 + 2(15) = 150 + 30 = 180...and they will both weigh 180 lbs
I hope this helps you :)
The smallest number by which 28 should be
multiplied so as to get a perfect square is
O2
O 4
03
07
Answer:
7
Step-by-step explanation:
28x7=196
196=14^2 aka a perfect square
grade 7. solving integers
can someone explain how we solve integers? it's very confusing and i'll give some examples.
4 - -10 = ?
-5 + -3 = ?
I've been told that when we it's addition (+), we minus and if it's subtraction (-), we add? this is very confusing so pls explain
Answer:
yes
Step-by-step explanation:
you do that when you have a minus sign and a negative an example is like if you have 4-(-10)=? if you look at the part where its -(- it looks like a positive + so you add them so this is equal to 14, and when you are multiplying 2 negatives they both equal a positive an example is like -4 times -5 this equals 20, but if you have -5+-3=? this equals -8 because you are adding the numbers.
Hope this helps =)
Where x=-7 what does y=?
Answer:The "+7" indicates that there will be a y-intercept at 7. Therefore, you can plot a point at (0,7).
While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Kyla needs to work ________ hours to earn $52.25.
Answer:
12/312
Step-by-step explanation:
I did this quiz.
plz solve this problem of trigonometry
i am an aakashian
Step-by-step explanation:
[tex]\bf L.H.S = \tt \dfrac{sec\: \theta + tan \: \theta - 1}{tan \: \theta - sec \: \theta + 1} \\ \\ [/tex]
[tex]: \implies \tt \dfrac{\frac{1}{cos \: \theta} + \frac{sin \: \theta}{cos \: \theta} - 1}{ \frac{sin \: \theta}{cos \: \theta} - \frac{1}{cos \: \theta} + 1 } \: = \dfrac{1 + sin \: \theta - cos \: \theta}{sin \: \theta + cos \: \theta} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta + (cos \: \theta - 1)} \: \times \: \dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta - (cos \: \theta - 1)} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin^{2} \: \theta + cos^{2} \: \theta + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: (cos \: \theta - 1)}{sin^{2} \: \theta - (cos \: \theta - 1)^{2} } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{1 + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - 1 + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - sin^{2} \: \theta - cos^{2} \: \theta + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 (1 - \: cos \: \theta )- 2 \: sin \: \theta (1 - \: cos \: \theta)}{ 2 \: cos \: \theta - 2 \: cos^{2} \: \theta} \\ \\[/tex]
[tex]: \implies \tt\dfrac{(2 + 2 \: sin \: \theta) \: \cancel{(1 - cos\: \theta)}}{2 \: cos \: \theta \: \cancel{(1 - cos \: \theta)}} \: = \: \dfrac{1 + sin \: \theta}{cos \: \theta} \\ \\[/tex]
[tex]: \implies\tt\dfrac{1 + sin \: \theta}{cos \: \theta} \: \times \: \dfrac{1 - sin \: \theta}{1 - sin \: \theta} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{1 + sin^{2} \: \theta}{cos \: (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos^{2} \: \theta}{cos \: \theta (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos \: \theta}{1 - sin \: \theta} \: = \: \bf{ R.H.S}\\ \\ [/tex]
[tex]\huge\bigstar \:\underline{\red{\sf Hence, Proved}} \: \bigstar \\ [/tex]
how do i check my answer for y-16-3y=0
Answer:
what ever y equals plug it back into the problem and if get 0=0 then u got
Step-by-step explanation:
it
1. Jane solved the midpoint, M, of a segment with endpoints (-4,-1) and(2,5) as shown below. Is her findings correct?
Step-by-step explanation:
I guess I was help full for u
how many numbers lie between squares of 12 and 13
Answer:
therefore 25 numbers lie inbetween.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
find the perimeter. simplify your answer completely
Please write only vertical compression or stretch
Answer:
No te puedo ayudar vbbnn
Which of the statements describes a situation which models growth or decay by an equal factor over equal
intervals?
O
A. A water tank is filled at a rate of 2 gallons per minute.
B. A vine grows 6 inches every week.
o
C. A species of fly doubles its population every month during the summer.
D. A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
Answer:
The statement that describes a situation that can be modeled as a growth or decay over equal interval is;
C. A species of fly doubles its population every month during the summer
Step-by-step explanation:
We have for exponential growth or decay, the following equation;
Exponential growth or decay;
[tex]y = a \cdot b^t[/tex]
Where;
a = The initial amount of the item
1 + r = The rate of growth in percentage
b = The growth or decay factor
t = The time
For exponential decay, we have;
0 < b < 1
b = 1 - r
[tex]y = a \cdot(1 - r)^t[/tex]
For exponential growth, we have;
b > 1
b = 1 + r
[tex]y = a \cdot(1 + r)^t[/tex]
Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;
[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]
Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.
In Argentina, a cow on a ranch is expected to need an average of 4200 m2
of grassland for food.
What size does a ranch need to be to feed 4500 cows?
Give your answer in hectares.
The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.
And we are asked to find the total area of their grazing but in hectares. So, we can write:
[tex]1 \: cow = 4200 \: {m}^{2} [/tex]
Then, for 4500 cows:
[tex]4500 \: cows = 4200 \: {m}^{2} \times 4500[/tex]
[tex]4500 \: cows = 18900000 \: m {}^{2} [/tex]
We know that, 1 hectares = 10000 m² = 10⁴ m²
Then let the area of the field be x in hectares:
[tex]1 \: hectare = 10000 \: {m}^{2} [/tex]
[tex]x \: hectare = 18900000 \: {m}^{2} [/tex]
Then, putting them in proportion, We will get:
[tex]x = \dfrac{18900000}{10000} hectares[/tex]
[tex]x = \boxed{ 1890 \: hectares}[/tex]
So, the total area in hectares = 1890 hectares.
And we are done !!
#CarryOnLearning
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what is 8x+9x simplified completely
Answer:
17x
Step-by-step explanation:
Work out the direction of the resultant force on the object. Define the horizontal axis as
the origin of angle and turn clockwise as positive. Give the answer in degrees to 2 sig.
20 points! will mark brainliest
fig.
Answer:
53°
Step-by-step explanation:
If you translate the 4 N force to the right so its tail is at the tip of the 3 N force, you see these are the legs of a 3-4-5 right triangle. The 4 N force is opposite the angle of interest, and the 3 N force is adjacent. Then the angle of interest, α, has the relation ...
Tan = Opposite/Adjacent
tan(α) = 4/3
α = arctan(4/3) ≈ 53°
The direction of the resultant is 53° clockwise from the horizontal axis.
A helicopter flies between two islands that are 20 miles apart. The angle of elevation with one island is 15o and 35o with the second island. What is the mileage of the helicopter? Round your answer to the nearest tenth of a mile. (Law of Sines or Law of Cosines Problem)
Answer:
Step-by-step explanation:
From the figure attached,
A helicopter is flying at a height 'h' and angle of elevations from two islands C and B are 35° and 15° respectively.
Let the measure of BD = x miles
From ΔABD,
tan(15) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{h}{x}[/tex]
h = x.tan(15) ---------(1)
From ΔACD,
tan(35) = [tex]\frac{h}{12-x}[/tex]
h = (12 - x).tan(35) ------(2)
By equating the values of h from equations (1) and (2),
x.tan(15) = (12 - x).tan(35)
[tex]\frac{x}{12-x}=\frac{\text{tan}35}{\text{tan}15}[/tex]
[tex]\frac{x}{12-x}=2.613[/tex]
x = 2.613(12 - x)
x + 2.613x = 31.386
3.613x = 31.386
x = 9.914 ≈ 9.9 miles
From equation (1),
h = x.tan(15)
= 9.9[tan(15)]
= 2.65 ≈ 2.7 miles
Therefore, helicopter is flying at the vertical height = 2.7 miles and horizontal distance of the helicopter from the island B = 9.9 miles.
Answer:
2.7
Step-by-step explanation:
I took the quiz and got it right :)
Susan uses the following equation to determine how much a taxi ride is going to cost her, where m is the number of miles traveled during the trip.
$7.00 + $2.20m = $26.80
A. 7
B. 11
C. 8
D. 9
Please help ASAP!
Answer:
D
Step-by-step explanation:
$7.00 + $2.20*9 = $26.80
Determine the type of construction from the following steps
Similar
Perpendicular
Parallel
Congruent
Answer: perpendicular
Step-by-step explanation:
Hope this helps! If I’m right please give me Brainly-eat!! :)
Colleen is 15 years from retiring. She opens an account at chas. She plans to deposit 10,000 each year
Answer:
150,000
Step-by-step explanation:
15x10000=150,000
Answer:
$150,000 - Make sure to read my explanation
Step-by-step explanation:
You didn't include the question, but I'm just gonna guess that you what to know how much money she will have deposited by the time she retires. This is just a simple multiplication problem if so.
15 * 10,000 = $150,000
In conclusion she will have saved 150,000 by the time she retires. Sorry If I guessed the question wrong.