. What is the second step in solving the following equation: 3(2x - 1) = 15, if the
Distributive property is used as the first step.
Which shows the correct first step to solving the system of equations in the most efficient manner?
3 x + 2 y = 17. x + 4 y = 19.
x = negative 4 y + 19
x = StartFraction negative 2 y + 17 Over 3 EndFraction
4 y = negative x + 19
Answer:
x = -4y + 19
Step-by-step explanation:
We have the two equations 3x + 2y = 17 and x + 4y = 19.
The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.
x + 4y = 19
We can rearrange this by getting the 4y to the other side.
We can get 4y on the other side by subtracting 4y from both sides
x + 4y - 4y = 19 - 4y
x = -4y + 19
And we have just completed the first step!
A couch and coffee table cost a total of $1272. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
Answer:
318+954
Step-by-step explanation:
divide 1272 by 2 to get what they would cost if they were the same amount then divide that by 2 to get 318 times that by 3 to get 954 and add 318 to get 1272
The required cost of the couch and coffee table is $848 and $424 respectively.
Given that,
A couch and coffee table cost a total of $1272. The cost of the couch is two times the cost of the coffee table.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
let the cost of the coffee table be x,
Now the cost of the couch = 2x
According to the question,
2x + x = 1272
x = 424
now,
Cost of the couch = 424 [2] = 848
Thus, the required cost of the couch and coffee table is $848 and $424 respectively.
Learn more about simplification here:
https://brainly.com/question/12501526
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How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
C. San Francisco
Step-by-step explanation:
In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.
Answer:
San Fransisco
Step-by-step explanation:
Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.
find the zeros of the function f(x) = (x+3)^2-4=0
Answer:
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Step-by-step explanation:
[tex]f(x)=(x+3)^2-4[/tex]
[tex]0=(x+3)^2-4[/tex]
[tex]0=(x^2+6x+9)-4[/tex]
[tex]0=x^2+6x+5[/tex]
[tex]0=(x+1)(x+5)[/tex]
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Answer:
[tex]x=-1,\:x=-5[/tex]
Step-by-step explanation:
Solve the equation:
[tex]f(x)=\left(x+3\right)^2-4=0[/tex]
[tex]\left(x+3\right)^2-4=0[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]\left(x+3\right)^2-4+4=0+4[/tex]
[tex]\left(x+3\right)^2=4[/tex]
[tex]x+3=\sqrt{4}:x=-1[/tex]
[tex]x+3=\sqrt{2^2}[/tex]
[tex]x+3=2[/tex]
[tex]x+3-3=2-3[/tex]
[tex]x=-1[/tex]
[tex]x+3=-\sqrt{4}:x=-5[/tex]
[tex]x+3=-\sqrt{4}[/tex]
[tex]x+3=-2[/tex]
[tex]x+3-3=-2-3[/tex]
[tex]x=-5[/tex]
Now, look at the points plotted on the graph:
Help me pleas asap and pleas show your work
Answer:
y = 7 - 4x
Step-by-step explanation:
8x + 2y = 14
2y = 14 - 8x (since we're solving for "y", we want "y" by itself)
y = 14-8x / 2 (we want to separate "y" and 2, so we divide the other side of the equation by 2)
y = 7 - 4x (divide by 2)
Hope this helps :)
repost pls ASAP
It is recommended that you work this out on graph paper to help answer the questions. Maria plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):
Her house is at (−4, 9).
Her school is at (−4, 3).
The community center is at (1, 3).
The grocery store is at (−4, −8).
Is the total distance from Maria's house to the school to the grocery store greater than the total distance from Maria's house to the school to the community center? Justify your answer.
Answer:I think it would be the grocery store is at (-4, -8) but I not sure
Step-by-step explanation:
Answer:
Step-by-step explanation:
9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)
Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.
Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.
What is the area of this figure?
Answer:
The area of this figure is 24mm.
Step-by-step explanation:
4mm*3mm=12mm
1mm*6mm=6mm
3mm*4mm=12mm/2mm=6mm
6mm+6mm+12mm=24mm
Thank You In Advance ;))
Answer:
17,984,000
Step-by-step explanation:
because it is
Moussa is preheating his oven before using it to bake. The initial temperature of the
oven is 65° and the temperature will increase at a rate of 20° per minute after being
turned on. What is the temperature of the oven 15 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Temp after 15 minutes:
Temp after t minutes:
Answer:
365°, (65 +20t)°
Step-by-step explanation:
Temperature of oven
= initial temperature + 20°(number of minutes passed after it was turned on)
Temperature of oven after 15 minutes
= 65 +20(15)
= 65 +300
= 365°
Temperature after t minutes
= (65 +20t)°
easy one for you folks. show work. giving brainly.
who had to shovel more area of the driveway?
Answer:
Ahmed shoevked more than sheldon
What is the earliest known human-like creature who displayed human-like intelligence called?
Neolithic People
Early Stone People
Mesolithic People
Neanderthal People
Consider the equation 6 x 3 y = 9. Which equation, when graphed with the given equation, will form a system with infinitely many solutions? y 2 x = 3 y 2 x = 9 y = 2 x 3 y = negative 2 x 9.
The equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3
Given the equation 6x + 3y = 9, the equation if when graphed with this equation will give an infinite number of solutions must be the same as the given equation.
Note that the coefficient of the variables may be different by a scale factor.
To get the required equation, we will divide the equation through by 3 as shown;
6x + 3y = 9Divide through by 3;
6x/3 + 3y/3 = 9/3
2x + y = 3
Hence the equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3
Learn more on systems of equations here:https://brainly.com/question/847634
Answer: A
Step-by-step explanation:
Which is the better buy twelve cans for7 dollors or 6 cans for 4 dollors
I will say 12 cans for 7$ because if you buy a second pair of 12 cans it will cost 14 but if you buy 6 cans for 4 dollars but another pair would be 8$,but i also depends on how much cans you will need ;)
Hope this helps :)
The better buy should be buy twelve cans for 7 dollors
Given that,
twelve cans for7 dollors or 6 cans for 4 dollors.Based on the above information, the calculation is as follows:
The first option is
[tex]= 7\div 12[/tex]
= $0.58
The second option
[tex]= 4\div 6[/tex]
= $0.67
Learn more: brainly.com/question/16911495
As a large truck fills its gas tank, the amount of gas, in gallons, can be modeled with the linear function
g = 4t + 8
c.) What is the y- intercept and what does it represent in this problem
D.) What is the Slope and what does it represent in this problem
Answer:
c. (0, 8), it is how much gas the truck started with
d. slope = 4, the truck is filling at a rate of 4 gallons per t (probably minute)
Step-by-step explanation:
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for
$1.76 or the 14-ounce box for $2.42?
What is the slope?
x: -3, -5, -9
y: 1, 5, 13
A?
B?
C?
D?
Who ever is right gets brainlest <3
Answer:
4 n 4 √ 3 n
Step-by-step explanation:
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
A.4/5
B.1/2
C.2/5
D.1/4
Answer:
A.) 4/5
Step-by-step explanation:
Another fraction that's not on there that is correct is 8/10
Suppose a book has 100 names listed in each column, with 5 columns per page. The book has 200 pages.
How many books are needed to list all the people in a population of 200 million?
Answer:
2,000
Step-by-step explanation:
We know that 100 × 5 = 500, so one page has 500 names on it, we can now then infer that each book has 100,000 names on it because we do 500 × 200.
So knowing that there is 100,000 names per book we now then do 100,000 × 2,000 which equals 200,000,000, so we need to do 2,000 books to store the names of 200 million people. Hope this helps.
what is -27/40 as a decimal number. AND NO LINKS pls and thank you :)
Answer:
-0.675
Step-by-step explanation:
A fraction is another way of writing a division problem. So to figure this out, simply divide -27 by 40
plz guys say me the answer fast and correct
i think the x intercept is 2 in problem a
Answer:
A)x=150
B)2Pie*raduis
A2)2
B2) don't know what a bearing is srry
A3)???
Hope This Helps!!!
Between what two whole numbers is the length of the
diagonal from M to N in the rectangular prism?
—HELP ASAP
I put a pic.
Answer in the pic hope it helps
The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml
Answer:
you should use minimum 8 black cur
the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon. a write and solve an algebraic equation to find out how many miles they will travel. Explain your steps. b. Write and solve an algebraic equation to find out how many gallons of gas they will use. Explain your steps. c. Write and solve an algebraic equation to find out how much ortiz's will spend on gas round trip. Explain your steps. d. suppose you know the total cost of the gas, do not know the price pe gallon. Explain how you would work backward to solved the problem
Answer:
a. 2116 miles
b. 105.8 gallons
c. $305.76
d. cost per gallon = total cost / number of gallons = total cost/105.8
Step-by-step explanation:
a.The round-trip distance is the sum of the distances there and back. It is double the one-way distance.
round-trip distance = 2 × one-way distance
round-trip distance = 2 × 1058 miles = 2116 miles
__
b.The gas used will be the distance divided by miles per gallon.
gas used = round-trip distance / miles-per-gallon
gas used = (2116 mi)/(20 mi/gal) = 105.8 gal
__
c.The cost of gas will be the product of cost per gallon and number of gallons.
cost of gas = cost-per-gallon × gallons
cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76
__
d.The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...
(cost of gas)/gallons = cost-per-gallon
For the same trip, the number of gallons is 105.8, so the equation becomes ...
cost-per-gallon = (cost of gas)/105.8
Two parallel lines are crossed by a transversal. Vertical and parallel lines h and i are cut by transversal g. At the intersection of lines h and g, the uppercase right angle is 70 degrees and the bottom left angle is x degrees.
Answer:
x = 70
Step-by-step explanation:
HELP! I need answers to every question!
Answer:
We can treat i as if it was a variable/symbol, with the caveat that
i * i = -1
[6]
(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i
[7]
-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i
[8]
2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i
[9]
(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i
Answer:
6.) 1 - 19i
7 ) -8 - 10i
8.) -6 + 8i
9.) 57 + 9i
not sure if its the right answer
Please solve number 13 and 14
Answer:
13.
We already have two angles, so we will just need another side to be equal to prove they are congruent. Any side will do (JK and MO lets say, which is the ASA congruency identity)
14.
The sides JL and DF differ in length (JL is longer than DF), so that proves why SSA identity (c'mon you know why i didn't write A... nvm) does not exist, as there can be two possible lengths for the last side.
Hey y’all please help me.
Answer:
u-3>-6
Step-by-step explanation:
Just ask.
Hope this helps.
factorise: p² - 9
for brainliest