Solve the following equations. Make sure you show each step of the work including any Distributive Property,
Inverse operations and combining/collecting of like terms that may be needed. Remember that what you do to
one side you must do to the other when using inverse equations. Label your response with the same letter of the
problem AND write the original problem first before you begin to solve.
A) 1d + 12 = 14-20
B) 4(20+5) = 10r
C) -2(5 + x) - 1 = 3(x + 3)
Answer:
A) -18 B) r=10 C) x=-4
Step-by-step explanation:
A) 1d + 12 = 14-20
Step 1: Simplify both sides of the equation.
1d+12=14−20
d+12=14+−20
d+12=(14+−20)(Combine Like Terms)
d+12=−6
d+12=−6
Step 2: Subtract 12 from both sides.
d+12−12=−6−12
d=−18
Answer:
d=−18
B) 4(20+5) = 10r
Step 1: Simplify both sides of the equation.
100=10r
Step 2: Flip the equation.
10r=100
Step 3: Divide both sides by 10.
r=10
C) -2(5 + x) - 1 = 3(x + 3)
Step 1: Simplify both sides of the equation.
−2(5+x)−1=3(x+3)
(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)
−10+−2x+−1=3x+9
(−2x)+(−10+−1)=3x+9(Combine Like Terms)
−2x+−11=3x+9
−2x−11=3x+9
Step 2: Subtract 3x from both sides.
−2x−11−3x=3x+9−3x
−5x−11=9
Step 3: Add 11 to both sides.
−5x−11+11=9+11
−5x=20
Step 4: Divide both sides by -5.
x=−4
Write the number in scientific notation.
0.00000515
Answer:
Hi! The answer to your question is D. 5.15 x [tex]10^{-6}[/tex]
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
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- Brooklynn Deka
The end points of PG are given. Find the length of segment PQ using the Pythagorean therom p(-4.3) and q(0,5)
Answer:
4.5 cm
Step-by-step explanation:
Given that the end points of PG are given. Find the length of segment PQ using the Pythagorean theorom p(-4.3) and q(0,5)
Solution
Using the formula;
Length PQ = sqrt ( (X - x)^2 + ( Y - y)^2 )
Length PQ = sqrt( ( 0 + 4 )^2 + ( 5 - 3 )^2)
Length pq = sqrt ( 4^2 + 2^2)
Length PQ = sqrt ( 16 + 4 )
Length PQ = sqrt ( 20 )
Length PQ = 4.47 cm
Therefore , the length PQ is 4.5 cm approximately.
Need a little help :,)
Answer:
A a. 25 minutes
Step-by-step explanation:
Let x = time in minutes.
Aquarium I contains y water at time x.
y = 4.6 + 1.2x
Aquarium II contains y water at time x,
y = 54.6 - 0.8x
We want the amounts of water to be equal, so we set the right parts of the equations equal and solve for x, the time in minutes.
4.6 + 1.2x = 54.6 - 0.8x
Subtract 4.6 from both sides.
Add 0.8x to both sides.
2x = 50
Divide both sides by 2.
x = 25
A student’s performance in Test 1 and Test 2 for all the 6 subjects has to be compared graphically for the current academic year. Which form of graph would be appropriate in this case? *
Bar Graph
Histogram
Double Bar Graph
Answer:
Double Bar Graph
Step-by-step explanation:
A double bar graph would be suitable to show the performance of test 1 and 2 in all 6 subjects
find the measure of the angle indicated
Answer:
105
Step-by-step explanation:
x + 25 + 80 = 180
x + 105 = 180
x = 75
x + y = 180
75 + y = 180
y = 105
What is the total surface area of the rectangular pyramid whose net is shown?
Answer: 2203.96
Step-by-step explanation:
Find the equation of this line.
9514 1404 393
Answer:
y = 1/2x + 1
Step-by-step explanation:
The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".
Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...
m = rise/run = 2/4 = 1/2
The line crosses the y-axis at y=1, so the "y-intercept" is b=1.
These values can be put into the "slope-intercept form" equation for a line.
y = mx + b . . . . . . line with slope m and y-intercept b
y = 1/2x + 1 . . . . . matches the required answer form
If a car travels 180 km on 12 liters of gas, how many km per liter does the car get? Express in simplest form.
Answer:
5 kilo-meters per liter of gas
Step-by-step explanation:
180 divided by 12 would be 180 / 12 = 5 km per liter
(P.S., pls mark me brainliest, and have a nice day)
A school has 320 girls and 250 boys.
The probability that a girl is left-handed is 0.2
The probability that a boy is left-handed is 0.1
Estimate the number of left-handed students in the school.
pleasee helpppp i need the answer
Answer:
7x-30
Step-by-step explanation:
Please give me BRAINLIEST and THANKS lol <( ̄︶ ̄)>
A student is studying a cell from an unidentified organism. Which feature of the cell provides the strongest evidence
that the organisms is a prokaryote, and not a eukaryote?
A
The cell contains a nucleus and
membrane-bound organelles.
B
The cell lacks a nucleus and other
membrane-bound organelles.
с
The cell is surrounded by a cell
membrane and a cell wall.
D
The sell is surrounded by a cell
membrane, but not a cell wall.
Answer:C-The Cell is surrounded by a cell membrane-bound organelles.
Step-by-step explanation: Prokaryotes have a cell wall and a Eukaryote cells don’t have a cell wall.
find the missing dimension of the cylinder round your answer to the nearest tenth volume = 592ft ³
Answer:
10ft
Step-by-step explanation:
volume= 502 ft³
or, πr²h= 502ft³
or, h= 502/(π×4²)
or, h= 9.98~10
Round your answer to the nearest percent.
Answer:
32%
Step-by-step explanation:
[tex]71 \div 219 = 0.32[/tex]
What is 7x2 - 4 + 6x3 - 4x - X4 in standard form?
A 4 - 4x + 7x2 + 6x3 – X4
B. 46-4 - x) + x2(7 + 6x - x2)
C. X4 + 6x3 + 7x2 - 4x - 4
D. –X4 + 6x3 + 7x2 - 4x - 4
Help ASAP
Answer:
the answer is b
Step-by-step explanation:
hope I'm right
Answer:
D. –x^4 + 6x^3 + 7x^2 – 4x – 4
Step-by-step explanation:
When writing in standard form you have to put the monomials from greatest to least according to their exponent.
[tex]-x^4+6x^3+7x^2-4x-4[/tex]
The first number is [tex]-x^4[/tex] because 4 is the greatest exponent we see, then comes [tex]+6x^3[/tex] which is next because it has the second greatest exponent. And so on and so on.
Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution.
Answer:
17 + m ≤ 65
Step-by-step explanation:
Maximum distance = 65 miles
Number of miles already ridden = 17
Expression to represent how many more miles, 'm' she can ride ;
Number of miles already ridden + m ≤ maximum distance
17 + m ≤ 65
m ≤ 65 - 17
m ≤ 48
The amount of additional miles Lyla can ride is at most 48 miles
Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book
Answer:
12 days
Step-by-step explanation:
420/35 to find amount of days to finish book
420/35 = 12
HELP HELP HELP pls pls
Answer:
6
Step-by-step explanation:
[tex]\triangle{PQR}[/tex] is a right triangle. Use the Pythagorean Theorem:
(leg)^2 + (leg)^2 = (hypotenuse)^2
The length of PR is r + 4; it's the hypotenuse.
[tex]PQ^2+QR^2=PR^2[/tex]
[tex]r^2+8^2=(r+4)^2 \\ r^2+64=r^2+8r+16 \\ 64=8r+16 \\ 48=8r \\ 6=r[/tex]
Remember, to expand [tex](r+4)^2[/tex] you multiply [tex](r+4)(r+4)[/tex]
a college loan of 15000 has a 3% annual simple interest rate what is the interest the student will pay after 5 years
Answer:
Interest = $ 90000
Step-by-step explanation:
Given, Principal= $15000
Rate = 3%
Time = 5 years
Interest = P × R × T/100
Therefore, Interest = 15000 × 3 × 5/100
(dividing 100 by 5 to get 20)
= 15000 × 3 × 20
= 90000
if it helps don't forget to like and mark me down
is 3/4 proportional to 6/15
answer:
no
step-by-step explanation:
step one- cross multiply
3*15=4*6
step two- multiply
3*15=45 4*6=24
step three- simplify
45=24
45 and 24 aren't equal, therefore 3/4 and 6/15 are not proportional
good luck :)
i hope this helps
have a nice day !!
D is 111, 333, 666, 888, 101010, 111111, 131313, 131313, 161616, 181818, 1919
20 points will give brainliest
If m and n are the zeroes of the polynomial 6y 2 -7y – 2, find a polynomial whose zeroes are 1/m and 1/n
Answer:
[tex]y^2-\frac{7}{2}y+3[/tex]
Step-by-step explanation:
Given polynomial is,
6y² - 7y - 2
Fro the zeros of the given polynomial,
6y² - 7y - 2 = 0
6y² - 4y - 3y - 2 = 0
2y(3y - 2) - 1(3y - 2) = 0
(2y - 1)(3y - 2) = 0
(2y - 1) = 0
y = [tex]\frac{1}{2}[/tex]
(3y - 2) = 0
y = [tex]\frac{2}{3}[/tex]
Therefore, zeros of this polynomial are m = [tex]\frac{1}{2}[/tex] and n = [tex]\frac{2}{3}[/tex]
If a polynomial has zeros as [tex]\frac{1}{m}[/tex] and [tex]\frac{1}{n}[/tex] then the zeros will be [tex]\frac{3}{2}[/tex] and 2.
Polynomial will be,
[tex](y-\frac{3}{2})(y-2)[/tex]
= [tex]y(y-2)-\frac{3}{2}(y-2)[/tex]
= [tex]y^2-2y-\frac{3}{2}y+3[/tex]
= [tex]y^2-\frac{7}{2}y+3[/tex]
How many people were surveyed altogether?
25
50
40
15
Simplify the expression: - ( 4x + 10)
Answer:
-4x-10
hope it help
Answer:
-4x-10
Step-by-step explanation:
Please help.
Is algebra.
Answer:
Step-by-step explanation:
Add 2 to both sides of the equation.
So, I have this half-done equation, and the next step is to add 2 to both sides, how do I do that? Please help with a legit answer, thankyou so much!
x^3=∛(x-2)
Answer:
x = -1.135 (approx).
Step-by-step explanation:
x^3 = ∛(x - 2)
Cube both sides:
x^9 = x - 2
Subtract x and add 2 to both sides:
x^9 - x + 2 = 0
We could solve this for real roots by drawing a graph.
I did this and got one root x = -1.135 (approx).
The other 8 roots are complex.
Find the area of the figure.
Answer:
area is 192
Step-by-step explanation:
yw
Marriane can say hello in more than 7 languages. Which number line could represent this situation?
Answer:
A) x > 7
Step-by-step explanation:
Since it's more than, the inequality would be >
Since it's >, that means it's an open circle
So,
x > 7
1. Which expression has a value of -28? > A (-20) + 18 : (-3) B 2 – (2) + 48 = (-2) C-3 · 2 – (-22) D -4.5 - 8 Past due. This attempt will be submitted late. Last sav
What is the solution to this inequality?
I need help ASAP
Answer:
b option
x<-4 is the correct answer