What is the solution to the equation -4(2x + 3) = 2x + 6 - (8x + 2)?
A. x = -10
B. x = -8
C. x = - 5/2
D. x = -4/7
Answer:
B. x = -8
Step-by-step explanation:
-4(2x + 3) = 2x + 6 - (8x + 2)
-8x -12 = 2x + 6 - 8x -2
(now, "-8" in both terms is cancelled):
-12 = 2x + 6 - 2
(leave 2x alone in second term):
-12 -6 +2 = 2x
-16 = 2x
-16/2 = x
-8 = x
Complete the point-slope equation of the line through ( 6 , 4 ) and (7, 2)
Show the next three fractions equivalent to 12 in the list.
12, −1−2, −3−6, . . .
A.
−510, −714, −918
B.
−48, −510, −612
C.
−5−10, −7−14, −9−18
D.
−4−8, −5−10, −6−12
Answer:
its c not sure
Step-by-step explanation:
Math often shows up in sports in ways that we don’t realize. Take for example the baseball diamond. It is actually a square with the bases set at a 90 degree angles. If the bases are 90 feet apart, how far is it from home plate to second base? Round to the nearest tenth.
Distance between home plate and second base: ____________________ feet
Group of answer choices
90
127.3
63.6
145
Answer:
Distance between home plate and second base = 127.3 ft (Approx)
Step-by-step explanation:
Given:
Base distance = 90 ft
Find:
Distance between home plate and second base
Computation:
Distance between home plate and second base = √90²+90²
Distance between home plate and second base = √8100 + 8100
Distance between home plate and second base = √16200
Distance between home plate and second base = 127.3 ft (Approx)
order 6 9/10 6 19/80 6 3/4 least you greatest
Answer:
6 9/10, 6 3/4, 6 19/80
Step-by-step explanation:
it is the ordre r r my duuuud
x + 9 = -2
Could someone please help me with this problem?
Answer:
x = -11
Step-by-step explanation:
First, you have to isolate x to one side. To do this, you have to subtract 9 on both sides like this
x + 9 - 9 = -2 - 9
So this will now be
x = -11
There you go!
Answer:
x=-11
Step-by-step explanation:
x+9=-2
-9 -9
---------------
x=-11
Which of the following is not a polynomial?
Ramon drove 425 miles on 15 1/2 of gas. How many miles per gallon did he drive?
Answer: If half a gallon is 15 then just multiply 15 with 2.
Step-by-step explanation:
Answer:
He drove 27[tex]\frac{13}{31}[/tex] miles per gallon.
Step-by-step explanation:
15[tex]\frac{1}{2}[/tex] gas = 425 miles
[tex]\frac{31}{2}[/tex] gas = 425 miles
31 gas = 425 × 2
= 850 miles
1 gallon = 850 miles ÷ 31
1 gallon = 27[tex]\frac{13}{31}[/tex] miles
Which of the following expressions is NOT a perfect square trinomial?
Answer:
2
Step-by-step explanation:
Sally is currently in a city that is 100 ft below sea level. She then drives to a new city 50 ft above sea level. What integer represents the total distance sally drove
Answer:
I think the answer is -50.
Step-by-step explanation:
50 feet below sea level. First, look for key words. The word “below” means you will need to use a negative integer. The answer is -50.
A fish tank contains 600 gallons of water when full. The tank
contains a permanent hole, which causes the tank to leak at a
constant rate of 12 gallons each week. Let w be the number of
weeks. Which of the following expressions describe the number of
gallons left in the tank after any given number of weeks.
a. 600 + 12w
b. 600 - 12w
c. 12 -600w
d. 12 + 600w
Answer: 600 - 12w
Step-by-step explanation:
From the question, we are informed that a fish tank contains 600 gallons of water when full and that the tank
contains a permanent hole, which causes the tank to leak at a constant rate of 12 gallons each week.
If the number of weeks is represented by w, then the expression that describe the number of gallons left in the tank after any given number of weeks will be:
= 600 - 12w
For example let's say the number of weeks is 5 weeks. Using the expression,
600 - 12w
= 600 - 12(5)
= 600 - 60
= 540 gallons
There'll be 540 gallons after 5 weeks.
0.92 – 0.19 = 0.73
0.73 + 0.19 = 0.92
1.00 – 0.19 = 0.73
1.00 + 0.73 = 1.73
need awners
Answer
B is the answer
PLEASE MARK BRAINLIESTwhat is this answer bro and girl.
Answer:
whats the rest of the picture say, i cant tell
Step-by-step explanation:
please retake the photo so i can help u
Please help I will mark brainliest
Two lengths are in the ratio 2:5. The second length is 75 cm. Find the first length.
Answer:
30 cm
Step-by-step explanation:
2 * 15: 5 * 15
30:75
There are 7 girls in a bus. Each has 7 backpacks. In each backpack, there are 7 big cats. For every big cat, there are 7 little cats. How many legs are there in the bus?
Answer:
10,990 legs
Step-by-step explanation:
There are 7 girls in the bus
= 7 × 2 = 14 legs
Each bag pack there are 7 big cats
= 7 × 7 × 7 × 4= 1372 legs
For every big cats there are 7 small cars
= 7×7×7×7×4= 9,604 cats
Therefore the total legs in the bus can be calculated as follows
= 14 +1372+9604
= 10,990 legs
Hence there are 10,990 legs in the bus
Which of the following values of x make the following functions equal? y =4x+6 and y=5x+3
3
2
4
1
Answer:
The value of x that makes both functions. y = 4·x + 6 and y = 5·x + 3 equal is;
x = 3
Step-by-step explanation:
The given functions are;
y = 4·x + 6 and y = 5·x + 3
For the functions to be equal, we have that the y values are equal, therefore;
y = y and 4·x + 6 = 5·x + 3, which gives;
4·x + 6 = 5·x + 3
5·x - 4·x = 6 - 3
∴ x = 3
Therefore, the value of x that makes both functions. y = 4·x + 6 and y = 5·x + 3 equal is x = 3.
Answer:
x=3
Step-by-step explanation:
A line passes through the point (-2,3) and has a slope of 5/2
Write an equation in SLOPE-INTERCEPT form for this line.
Answer:
y = 5/2x + b
3= 5/2(-2) + b
3= -5 + b
3 + 5 = b
b = 8
y = 5/2x + 8
The equation in slope-intercept form is y= 5/2x + 8.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Slope = 5/2
and, point (-2, 3).
Using Slope- intercept form
y = mx + b
y= 5/2x + b
As, the line passes through (-2, 3)
3 = 5/2(-2) + b
3 = -5 + b
b= 8
So, the Equation of line is y= 5/2x + 8.
Learn more about slope here:
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raised the points, please please help me out
Answer:
Where is the question?
what are the x and y intercepts of the graph of -7x+4y=-14
Answer:
The answer is (2, -7/2)
v=r-s/2 solve for r
Answer:
r=v + [tex]\frac{s}{2}[/tex]
Step-by-step explanation:
v=r-[tex]\frac{s}{2}[/tex]
v+[tex]\frac{s}{2}[/tex]=r
On solving for r, we get -
[tex]$r=v+\frac{s}{2}[/tex]
We have the following expression -
[tex]$v=r-\frac{s}{2}[/tex]
We have to solve for r.
Solve for x (at k = 2) :log ( [tex]\frac{\pi }{x}[/tex] ) = k
On solving -
log(π) - log(x) = k
log(x) = k - log(π)
log(x) = 2 - log(π)
log(x) = 2 - 0.497
log(x) = 1.503
x = 31.84
According to the question, we have -
[tex]$v=r-\frac{s}{2}[/tex]
On solving for r, we get -
[tex]$r=v+\frac{s}{2}[/tex]
Hence, we get - [tex]$r=v+\frac{s}{2}[/tex].
To solve more questions on Rearranging expressions, visit the link below-
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Which of the following situations could be described by the expression m – 1.85?
Rosalita ran 1.85 miles yesterday, and m miles farther today.
Rosalita ran m miles yesterday, and 1.85 miles fewer today.
Rosalita ran 1.85 miles yesterday, and m miles fewer today.
Rosalita ran m miles yesterday, and 1.85 miles farther today.
Answer:
Rosalita ran m miles yesterday, and 1.85 miles fewer today.
Step-by-step explanation:
The expression m - 1.85 is used to find how many miles Rosalita ran today. If she ran 1.85 miles less than yesterday, m, to find today's miles you would subtract 1.85 from m, which the expression does. The only scenario that makes sense is that Rosalita ran m miles yesterday and ran 1.85 fewer miles today.
Hope this helps :)
verifying identity plz helpp!
cos(x+y) + cos(x-y) = 2cosx cosy
Answer:
2cosx cosy = 2cosx cosy
Step-by-step explanation:
cos(x+y) + cos(x-y) = 2cosx cosy
Use the formula for "Functions of the sum of two angles" and the "Function of the Difference of Two Angles" and substitute that in.
(Cosx cosy - sinx siny) + (cosx cosy + sinx siny)
Drop the parentheses
Cosx cosy - sinx siny + cosx cosy + sinx siny
Sinx siny can cancel
Cosx cosy + cosx cosy
This can be simplified to
2cosx cosy
Veronica works each day and earns more money per hour the longer she works. Write a function to represent a starting pay of $20 with an increase each hour by 5%. Determine the range of the amount Veronica makes each hour if she can only work a total of 8 hours.
20 ≤ f(x) ≤ 28.14
20 ≤ f(x) ≤ 29.55
20 ≤ f(x) ≤ 26.80
20 ≤ f(x) ≤ 25.53
Answer:
f(x) = 20(1.05)^x
Step-by-step explanation:
f(x) = 20(1.05)^x where x is the hours worked.
If she works 8 hours she will earn 20(1.05)^8
= $29.55.
The range of the amount per hour is 20 to 29.55 dollars.
Lauren goes to the exhibition. She purchased some wooden antiques for $70. She purchases a table for $44 and 2 chairs. Each of the chairs costs the same price. Write an equation representing the cost of the antiques and determine the price of one chair.
Equation:
One Chair:
Answer:
Equation: 44+2x=70
One chair: $13
Step-by-step explanation:
Please help me out!
Answer:
5[tex]\sqrt{8}[/tex], 40/3, [tex]\sqrt{170}[/tex]
Step-by-step explanation:
[tex]\sqrt{170}[/tex]= 13.03840481
5[tex]\sqrt{8}[/tex] = 14.14213562
40/3 = 13.33...
What si the equation in slope intercept form of the line that passes through the points (-4,2) and (12,6)
Answer:
b = -12
Step-by-step explanation:
In order to find the slope intercept you must first find the slope of the given points.
[tex]-4,2 = 12,6[/tex]
[tex]S=\frac{y2-y1}{x2-x1}[/tex]
Substitute:
[tex]\frac{12--4}{6-2}[/tex]
[tex]12--4=12+4=16[/tex]
[tex]6-2=4[/tex]
[tex]S=\frac{16}{4}[/tex]
Now find the slope intercept
[tex]16\div4=4[/tex]
[tex]SI=y=mx+b[/tex]
Substitute:
[tex]12=4\times6+b[/tex]
Solve:
[tex]4\times6=24[/tex]
[tex]12=24+b[/tex]
Subtract 24 on both sides:
[tex]12-24=-12[/tex]
[tex]x=-12[/tex]
[tex]y=-12[/tex]
Hope this helps.
The linear equation c = 0.1998s + 76.4520 models the number of calories, c, in a beef hot dog as a function of the amount of sodium s, in milligrams, in the hot dog. What is the slope, and what does it mean in this context?
Answer:
The slope of the linear equation is 0.1998, and it means that the calories in a beef hot dog is increasing with the rate of 0.1998 calories per milligram of sodium.
Step-by-step explanation:
Using y = mx + b, we know that m represents the slope.Looking at the equation of c = 0.1998s + 76.4520, our m is equal to 0.1998.This slope means that the rate is increasing by 0.1998 calories for every milligram of sodium.Mrs. Nevin is making a costume for a school play. She needs a piece of fabric that is greater than 1/2 of a yard but less than 5/8 of a yard. Which length of fabric listed below could she use? 3/8 yard 4/7 yard 3/7 yard 2/4 yard thx so much you guys are underrated
Answer:
4/7 yards
Step-by-step explanation:
Given that :
Required fabric is > 1/2 but < 5/8
Let required fabric = x
Then ;
Converting the fractions to decimal :
1/2 = 0.5 ; 5/8 = 0.625
0.5 < x < 0.625
3/8 yards = 0.375 ;
4/7 yards = 0.571
3/7 yards = 0.429
2/4 yards = 0.5
0.5 < 0.571 < 0.625
From the options, only 4/7 yards satisfies the condition :
Zoe and Josiah are both selling cookie dough for a fundraiser. Although Zoe has already sold 12 tubs, Josiah hasn't sold any yet. If Zoe starts selling 2 tubs per day and Josiah begins selling 4 tubs per day, they will eventually sell the same amount of cookie dough.
Answer:
6 days
Step-by-step explanation:
Given
Zoe
Sold out = 12
Rate = 2 daily
Josiah
Sold out = 0
Rate = 4 daily
Required
Determine when they sell the same number of tubs
Represent days with d
The number of tubs sold in any give day can be calculated using:
Tubs = Sold out + Rate * Number of days
For Zoe:
Expression: 12 + 2 * d
Expression: 12 + 2d
For Josiah
Expression: 0 + 4 * d
Expression: 4 * d
Expression: 4d
Next, we equate both expressions to get the number of days
4d = 12 + 2d
Collect like terms
4d - 2d = 12
2d = 12
Solve for d
d = 12/2
d = 6
Hence, it'll take 6 days