Given:
The inequality is:
[tex]6x+\dfrac{1}{4}(4x+3)>12[/tex]
To find:
The values for x.
Solution:
We have,
[tex]6x+\dfrac{1}{4}(4x+3)>12[/tex]
Using distributive property, we get
[tex]6x+\dfrac{1}{4}(4x)+\dfrac{1}{4}(3)>12[/tex]
[tex]6x+x+\dfrac{3}{4}>12[/tex]
[tex]7x>12-\dfrac{3}{4}[/tex]
[tex]7x>\dfrac{48-3}{4}[/tex]
On further simplification, we get
[tex]7x>\dfrac{45}{4}[/tex]
Divide both sides by 7.
[tex]x>\dfrac{45}{7\times 4}[/tex]
[tex]x>\dfrac{45}{28}[/tex]
Therefore, the required solution is [tex]x>\dfrac{45}{28}[/tex].
Note: All options are incorrect.
Which is the correct from of the quadratic formula?
Answer:
Step-by-step explanation:
The quadratic formula allows us to solve any quadratic equation that's in the form ax^2 + bx + c = 0.
(The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) .)
6th grade math help me pleaseeee
Answer:
1 1/2 cups of red paint to 1 cup of white paint.
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Since, 4 white cups = 6 red cups
Therefore,
1 white cup = 6/4 = 1.5 cups
3 coins are flipped. What is the probabilty of getting no heads?
=====================================================
Explanation:
Assuming a fair coin, the probability of getting tails is 1/2. The probability of getting three tails in a row is (1/2)^3 = (1/2)*(1/2)*(1/2) = 1/8
Put another way, there are 8 possible outcomes when flipping three coins. Those outcomes are:
HHHHHTHTHHTTTHHTHTTTHTTTWe see that only one occurrence of TTT shows up out of the eight possible outcomes; therefore, the probability of getting TTT is 1/8
Edward invested $43,800 in an account which yields 4.8% annually and is not compounded. How much will be in the account after 2 years?
Answer:
betch Corvette Corvette hop 9n a coloor
Answer:
If the money isnt compounded i dont think he would make anything. Could you repost the question multiple choice?
The box plots show the average wind speeds, in miles per hour, for two different islands.
Average Wind Speeds on Island A
2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities on Island A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities on Island B, the whiskers range from 1.5 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
Average Wind Speeds on Island B
Which explains, on a given day, which island is more likely to have a wind speed close to its median?
Island A because the median is closer to one end of the box in the box plot.
Island B because the median is closer to the center of the box in the box plot.
Island A because it has a smaller interquartile range.
Island B because it has a larger interquartile range.
Answer:
B
Step-by-step explanation:
I'm sorry if I'm wrong
Answer:
5
Step-by-step explanation:
meant b haha
Karl bought 3 1/2 gallons of milk that cost $2.70 per gallon.What was the total cost of the milk?
Answer:
The answer is 9.45
Step-by-step explanation:
2.7*3.5=9.45
What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?
Enter your answer by filling in the boxes.
Answer:
( x + 5 )² + ( y - 8 )² = 25
Step-by-step explanation:
Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²
Where r = radius and Center is located at ( h , k )
We are given that the center is at ( -5 , 8 )
Thus, h = -5 and k = 8
We are also given that the radius = 5
Thus, r = 5
Now we just plug all of the given values into the standard form equation
( x - (-5))² + ( y - 8 )² = 5²
*simplify*
in - ( - 5 ) the two negative sign cancel out and it turns into + 5
5² = 25
Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25
Find the rate of change from the table.
==================================================
We're asked to find the slope:
m = slope
m = (y2-y1)/(x2-x1)
m = (50-20)/(4-2)
m = 30/2
m = 15
The rate of change is 15. Each time x goes up by 1, y increases by 15.
slope = rise/run = 15/1
rise = 15, run = 1
I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.
A builder is working on a fountain for a park.
circumference of 6 metres. What should he make the diameter? Round off your
answer to the second decimal place. (Circumference of a circle =
e = 2 x T Xr,
TT = 3,142)
Answer:
1.90 m
Step-by-step explanation:
Circumference = 2πr
6 = 2πr
r = 0.95
d = 2(0.95) = 1.90 m
Please help me find domain/ range and equation
Answer:
The domain is the x axis from - 10 to 10 horizontal and the range is the y axis - 10 to 10 vertical
Range = (-infinity, infinity)
Domain = (-infinity, infinity)
The general form of a cubic equation not centered at the origin is y = a(x - h)^2 + k.
From the picture, a = -1, h = 4 and k = -2.
Your equation is y = -(x - 4)^3 - 2.
what equation represents the model shown below?
Given:
The algebra tiles of an equation.
To find:
The equation represented by the given model.
Solution:
On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,
[tex]LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)[/tex]
[tex]LHS=-4x+(-3)[/tex]
[tex]LHS=-4x-3[/tex]
On the right side of the model we have 8 tiles of (-1). So,
[tex]RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)[/tex]
[tex]RHS=-8[/tex]
Now, equate the LHS and RHS to get the equation.
[tex]-4x-3=-8[/tex]
Therefore, the equation for the given model is [tex]-4x-3=-8[/tex].
A tire travels about 75 inches in one full rotation. What is the Demeter of the tire, to the nearest inch?
Answer:
24 inchesStep-by-step explanation:
c = πd
75 = 3.14d
Divide both sides by 3.14
23.89 = d
Rounded
24 inches
A bakery sells chocolate, vanilla, and strawberry cakes. The cakes are sold randomly to customers. If there are 6 chocolate cakes, 12 vanilla cakes, and 9 strawberry cakes, what is the probability that you order a cake and get a vanilla or strawberry cake?
What is the approximate percent decrease from 1,865 to 1,240?
Percent Decrease = StartFraction Amount of Decrease over Original Amount EndFraction
33.5%
50%
66.5%
150%
Answer:
50.4% decrease
Step-by-step explanation:
(difference of two values/original value ) x 100
= (625/1240) x 100
= .504 x 100
= 50.4%
Answer:
33.5
1865 - 625 = 1240
625/1865 = 33.5%
Which algebraic expression represents 10 less than a number?
A. n + 10
B. 10 – n
C. n – 10
D. 10n
Answer:
C
Step-by-step explanation:
It means a no minus 10. I hope this helps. Good luck
============================================
Explanation:
Consider an example of saying "10 less than 50" would mean we compute 50-10 = 40
Another example would be "10 less than 78" so we say 78-10 = 68
In general, we would use algebra to go from "10 less than a number" to "a number - 10" to n - 10
Whatever n is, we subtract 10 from it to get that expression.
From there, we replace n with various numbers. Eg: replace n with 50
n-10 = 50-10 = 40
-----------------
Be careful not to mix up "10 less than a number" with "10 is less than a number". The "is" being the difference. This single word will change what the symbol interpretation will be.
"10 is less than a number" translates to 10 < n
What are the measures of 1 and 2? 37.1 1 2 17.30 121.8°
Answer:
Option 2 : m∠1 = 67.4°, m∠2 = 104.5°
Step-by-step explanation:
Lets find the measure of angle 2 first:
180° - 17.3° - (180° - 121.8°) = Angle 2
↑
Angle of the straight line = 180°
The angle should be 180 - 121.8
Angle 2 = 104.5
At this point the only answer that works is the second option, but let's still work out Angle 1
Angle 1 :
Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle
in this case:
Angle 1 + 37.1 = Angle 2
Since we know angle 2 = 104.5, lets solve
Lets say angle 1 = x
x + 37.1 = 104.5
x = 104.5 - 37.1
x = 67.4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The measures of ∠ 1 and ∠ 2.
Solution:-[tex]{\boxed{\mathcal{\red{Angle\: 1 \:=\: 67.4° \:}}}}[/tex]✅
[tex]{\boxed{\mathcal{\red{Angle\: 2\:=\:104.5° \:}}}}[/tex]✅
Step-by-step explanation:-We know that,
[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
✒ ∠ x + 121.8° = 180°
✒ ∠ x = 180° - 121.8°
✒ ∠ x = 58.2°
Now,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ 2 + 17.3° + 58.2° = 180°
➪ ∠ 2 + 75.5° = 180°
➪ ∠ 2 = 180° - 75.5°
➪ ∠ 2 = 104.5°
[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:2\:is\:104.5°.}[/tex]
Again,
[tex]\sf\blue{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➵ ∠ 2 + ∠ y = 180°
➵ 104.5° + ∠ y = 180°
➵ ∠ y = 180° - 104.5°
➵ ∠ y = 75.5°
Finally, we have
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
⇢ ∠ 1 + 75.5° + 37.1° = 180°
⇢ ∠ 1 + 112.6° = 180°
⇢ ∠ 1 = 180° - 112.6°
⇢ ∠ 1 = 67.4°
[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:1\:is\:67.4°.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
What is 10x5721? This is for my math homework.
Answer: Seriously? It’s 57210
Step-by-step explanation:
Answer:
on the contray please help me with one of the questions idc which one
Step-by-step explanation:
answer is 57210
a 420$ dressed is 20% off, how much is the sales price?
Answer:
$336
Step-by-step explanation:
420 x 0.2 = 84
420 - 84 = 336
Answer:
the answer is going to be $336
If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter
Step-by-step explanation:
If 3.25m is equal to 15kg then what about 1m?
3.25m = 15kg
1m =?
Then by cross multiplication we get 4.615 kg
If y varies directly with x and y = 28 when x = 4, what is y when x = 3?
Answer:
y=21
Step-by-step explanation:
Since x and y vary directly, they will be proportionate to each other. In this case, y is 7 times larger than x. We know this because 28/4=7. So, the equation that describes their relationship is y=7x. This means that to find y plugin x. Therefore, y=21 because y=7(3).
I suck at math and need help
Answer:
B. 3 + 5i
Step-by-step explanation:
-2i + (9 - 3i) - (6 - 10i) =
= - 2i + 9 - 3i - 6 + 10i
= 5i + 3
= 3 + 5i
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSss
Answer:
2 2/3 (first)
Step-by-step explanation:
-2 1/3 is the same as -7/3.
-(-) means plus, so you add 5
5 = 15/3
-7/3 + 15/3 = 8/3 = 2 2/3
A school had $3,000 to spend on technology. They spent $350 on a new projector. The function f(x)=299x+350 gives the total amount of money spent on technology after buying x tablets. If a teacher finds the tablets on sale for $249 each, how will the function change? Select three statements that are true.
AThe y-intercept of the function will not change
b The domain of the function will change from 0≤x≤8 to 0≤x≤10.
cThe range of the function will not change
dThe y-intercept of the function will decrease by $50.
eThe domain of the function will change from 0≤x≤10 to 0≤x≤12.
fThe range of the function will change
Answer:
The y-intercept of the function will not change.
Step-by-step explanation:
The given function is:
[tex]f(x)=2x-4[/tex]
It is defined on the domain
.
We need to find the range:
The range is the set of output values.
[tex]2\leq x\leq 6[/tex]
Multiply 2 on each side.
[tex]4\leq 2x\leq 12[/tex]
Subtract 4 from each side.
[tex]4-4\leq 2x-4\leq 12-4[/tex]
[tex]0\leq f(x)\leq 8[/tex]
[tex]0\leq y\leq 8[/tex]
The range of the function is .
Therefore, the correct option is A. The y-intercept of the function will not change.
8 kg = _____ oz...
Need help
Answer:
282.19
Step-by-step explanation:
1kg = 35.27oz
35.27 x 8 = 282.19
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WILL BE MARKED BRAINLIEST! What is the median for the following set of numbers? 11,12,11,13,13
The answer is 12. Because when you arrange the numbers like this
11, 11, 12, 13, 13
The middle number is 12
A scuba diver dove 313 feet below sea level then rose 26 feet?
Answer:
I think the answer would be 287?
Step-by-step explanation:
As a rule of thumb, one gallon of paint will usually cover 400 square feet.
If Thomas is painting a hallway and the measurements are 12 feet high and 75 feet wide, what is the minimum amount of cans of paint he will need to paint the hallway?
Question 5 options:
1
2
3
4
5
Answer:
3?
Step-by-step explanation:
In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated
2 units left and 5 units down, what are the coordinates of D'?
Answer:
D’(-1,-2)
Step-by-step explanation:
Left = x -2 = 1-2 = -1
down = y-5 = 3-5 = -2
3/5 divided by -3/4 as a fraction
Answer:
-4/5
Step-by-step explanation:
To solve, you have to use a reciprocal so that it becomes 3/5 times -4/3.
3/5 times -4/3 is -12/15.
-12/15 in simplest form is -4/5.
Your answer is -4/5.
I hope this helps, have a nice day.
Answer: -4/5
Step-by-step explanation:
First you got to do keep change flip so 3/5 will stay the same the division will turn into a multiplication sign and instead of -3/4 it will be 4/-3. So 3 times 4 equals 12 and 5 times -3 equals -15 the answer will be 12/-15 but when you simplify it ipyou will get -4/5
2 plus 2 i need help
Answer:
4
Step-by-step explanation:
2+2