Step-by-step explanation:
2008because there is no difference between the number of sold notebooks
Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They have
traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108 + x < 352.
Select from the drop-down menu to correctly interpret the solution of this inequality.
Amanda family cannot travel more than 244 miles without needing to refill the gas tank.
Inequality is the non equal comparison of numbers or variables.
Let x represent the number of miles that they can travel before filling their gas tank.
Their car can travel no more than 352 miles without filling their tank. Also, they have traveled 108 miles since they last filled the gas tank. Hence:
x + 108 < 352
x < 244
This means that Amanda family cannot travel more than 244 miles without needing to refill the gas tank.
Find out more at: https://brainly.com/question/25285332
please help.......,................
Answer:
8×1=8+64=72
Step-by-step explanation:
there is your answer are you happy now
Please take a look at the picture
Answer:
A and B
Step-by-step explanation:
They both have the same numbers and at least one of the given numbers is negative.
Hope this helps :)
Can someone help me please
Answer:
sorry i can answer that the asy
Answer:
Q1 - 10080
(sorry couldn't do q2 haha)
step by step;
Write 12.325 as a mixed number. quick I need help
Answer:
493/40
i tried my best on it
Answer:
493 /40
Step-by-step explanation:
(12.325 × 100) / (1 × 1000) =
=12325/ 1000
 Missed 10 days of Algebra 2. I think they did some Long Division stuff but i need help figuring out how to do this stuff...
I attached an image below of some example problems
"Find all real solutions of" basically means solve for x. You're looking for the real numbers x such that the given equation is satisfied. "Zeros" is synonymous with "solutions".
It looks like the first equation is
3x³ + x² - 38x + 24 = 0
It's not immediately obvious whether this can be factorized, so we first carry out the rational zero test to see if there are any rational solutions. *If* this equation has any rational solutions, then they must take the form of (divisor of 24)/(divisor of 3). That is, take any divisor of the constant coefficient and divide it by any divisor of the leading term's coefficient.
We have
• divisors of 24 : ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
• divisors of 3 : ±1, ±3
Sadly, there are 64 possible roots to test, but we only need one to make the rest of the problem easier.
• Let x = +1 / +1 = 1. Then plugging x = 1 into the equation gives
3•1³ + 1² - 38•1 + 24 = -10 ≠ 0
so x = 1 is *not* a solution
• Let x = +2 / +1 = 2. If x = 2, then
3•2³ + 2² - 38•2 + 24 = -24 ≠ 0
so x = 2 is *not* a solution.
• Let x = +3 / +1 = 3. If x = 3, then
3•3³ + 3² - 38•3 + 24 = 0
so x = 3 is a solution.
By the remainder theorem, this means that x - 3 divides 3x³ + x² - 38x + 24. Using long or synthetic division,
(3x³ + x² - 38x + 24) / (x - 3) = 3x² + 10x - 8
so that
3x³ + x² - 38x + 24 = 0
is the same as
(x - 3) (3x² + 10x - 8) = 0
We factorize the remaining quadratic to get
3x² + 10x - 8 = (3x - 2) (x + 4)
and so the original equation is equivalent to
(x - 3) (3x - 2) (x + 4) = 0
Solve for x :
x - 3 = 0 or 3x - 2 = 0 or x + 4 = 0
x = 3 or x = 2/3 or x = -4
The other equations can be solved similarly, though some of the others you included are much simpler.
For the second problem (note that you left out an exponent), we solve the equation
x³ - 2x² - 23x + 60 = 0
Again, not immediately obvious how to factorize this. But using the rational root test, we have
• divisors of 60 : ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60
• divisors of 1 : ±1
If you follow the same steps as before, you'll find the first rational solution with x = 3. So x - 3 divides x³ - 2x² - 23x + 60, and long division gives
(x³ - 2x² - 23x + 60) / (x - 3) = x² + x - 20
and the resulting quadratic is easily factored,
x² + x - 20 = (x - 4) (x + 5)
So, we have
x³ - 2x² - 23x + 60 = (x - 3) (x - 4) (x + 5) = 0
which means
x - 3 = 0 or x - 4 = 0 or x + 5 = 0
x = 3 or x = 4 or x = -5
For the third problem, we can factor by grouping.
x³ - 4x² - x + 4 = 0
x² (x - 4) - (x - 4) = 0
(x² - 1) (x - 4) = 0
(x - 1) (x + 1) (x - 4) = 0
Then
x - 1 = 0 or x + 1 = 0 or x - 4 = 0
x = 1 or x = -1 or x = 4
For the fourth problem, we use the rational root test again, but twice this time.
x⁴ - 6x³ + 7x² + 6x - 8 = 0
• divisors of -8 : ±1, ±2, ±4, ±8
• divisors of 1 : ±1
We find that x = 1 and x = 2 are both rational roots, so both x - 1 and x - 2 divide x⁴ - 6x³ + 7x² + 6x - 8. By long division,
(x⁴ - 6x³ + 7x² + 6x - 8) / ((x - 1) (x - 2)) = x² - 3x - 4
and factoring this gives
x² - 3x - 4 = (x + 1) (x - 4)
So, we have
x⁴ - 6x³ + 7x² + 6x - 8 = (x - 1) (x - 2) (x + 1) (x - 4) = 0
which means
x - 1 = 0 or x - 2 = 0 or x + 1 = 0 or x - 4 = 0
x = 1 or x = 2 or x = -1 or x = 4
For the last problem,
x⁴ + 4x³ + 7x² + 16x + 12 = 0
we use the rational root test again.
• divisors of 12 : ±1, ±2, ±3, ±4, ±6, ±12
• divisors of 1 : ±1
We find that both x = -1 and x = -3 are rational solutions, and dividing gives
(x⁴ + 4x³ + 7x² + 16x + 12) / ((x + 1) (x + 3)) = x² + 4
which we cannot factorize further over the real numbers. So we end up with
x⁴ + 4x³ + 7x² + 16x + 12 = (x + 1) (x + 3) (x² + 4) = 0
so that
x + 1 = 0 or x + 3 = 0 or x² + 4 = 0
x = -1 or x = -3
(We omit the third equation here because it has no real solution since x² + 4 ≥ 4 for all real x.)
10% is what number is 28
Answer:
28 is 10% of 280
Steps to solve "28 is 10 percent of what number?"
We have, 10% × x = 28
or,
10
100
× x = 28
Multiplying both sides by 100 and dividing both sides by 10,
we have x = 28 ×
100
10
x = 280
If you are using a calculator, simply enter 28×100÷10, which will give you the answer.
what as 9 squared? i need this
If you roll a die twice , what is the probability that sum of the two die 8 will appear
Answer:
5/36
Step-by-step explanation:
Answer:
the probability of getting a total greater than 8 is 10/36=5/18
Step-by-step explanation:
Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.
Therefore, the probability of getting a total greater than 8 is 10/36 which equals 5/18
solve the equation 3/4x - 5 = x give your answers correct to 2 decimal places
Answer:
3/4x - 5 = x
= -3/10 -> -0.15
2 Decimal places = 0.150
A person is running a distance race at a constant rate. What time will they finish the race what information would you need to be able to solve the problem?
Answer:
you need the distance they're running and the pace they are running at.
Distributive property to simplify 6(8) + 6(-2)
Answer:
36
Step-by-step explanation:
You would multiply 6x8+6x(-2), and that would equal 48+(-12) which is basically 48-12 = 36.
Hello I need help help help help
x = 16
7 times 2 = 14
8 times 2 = 16
Hope that helped:)
the orginial price of a pumkin is 3 $ if there is a sale of 25 percent of what is the orginial price
Answer:
$12
Step-by-step explanation:
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. WRITE AND SOLVE A LINER EQUATION to find the monthly rent for a 1500 square foot office.
I need help and pls do it in The liner equation way which is also given two points.
Answer:
$1325Step-by-step explanation:
Translate the given into two pairs of coordinates:
(800, 975) and (1100, 1125)Work out the equation of the line passing through both of the points.
Find the slope:
m = (1125 - 975) / (1100 - 800) = 0.5Find the y-intercept:
975 = 0.5*800 + b975 = 400 + bb = 975 - 400b = 575The line is:
y = 0.5x + 575Find the value of y when x = 1500:
y = 0.5*1500 + 575 = 13259.
Identify the point corresponding to Q.
IT'S NOT A. Q' (-3, -4)
A. Q′ (−3, −4)
B. Q′ (−4, 1)
C. Q′ (−1, −4)
D. Q′ (−4, −3)
Answer:
C(-1, -4)
Step-by-step explanation:
see the point reflected over the line through the vertex point
Answer:
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
Find the gradient of the line segment between the points (4,-6) and (-6,-16).
Answer:
1
Step-by-step explanation:
gradient M= change in Y / change in X
= (-16--6)/(-6-4)
= -10/-10
M therefore= 1
which ordered pair would be plotted in quadrant 3
Answer:
(-5,-9)
Step-by-step explanation:
A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days?
Answer:
8: 207
x: 143
and solve that to get your answer
The required answers are-
(a) The crew been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation to pave a road is,
L(d) = 207– 8d
where, length, L (in miles), and d days.
(a) For 143 miles of the road is left to be paved, the number of days is given as-
Put Length L(d) = 143 in the equation to pave a road
we get,
143 = 207– 8d
or, 8d = 207– 143
or, 8d = 64
or, d = 64/8
⇒ d = 8 days
So, The crew have been paving the road for 8 days.
(b) miles of the road have left for the crew to pave after 13 days.
Put d = 13 days in the equation to pave a road
we get,
L(d) = 207– 8*13
or, L(d) = 207– 104
⇒ L(d) = 103 miles
So,103 miles of the road have left for the crew to pave after 13 days.
Thus,The required answers are-
(a) The crew have been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
To learn more about roads:
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A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?
The ratio of 70 minutes to 2 hours is
Hey there!
70 minutes
= 1 hour 10 minutes
2 hours
= 60 minutes * 2 minutes
= 60 minutes + 60 minutes
= 120 minutes
70/120
= 70 ÷ 10 / 120 ÷ 10
= 7 / 12
Therefore, your answer is: 7:12 OR 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
the following points lies in the solution set of the system of inequalities shown graphed below?
A. (1, 0)
B. (2, 2)
C. (-4, 0)
D. (2, -4)
Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)
Answer:
20 m
Step-by-step explanation:
1/50 = 40/x
Cross multiply.
1 × x = 50 × 40
x = 2000
2000 cm × (1 m)/(100 cm) = 20 m
Answer: 20 m
If a slingshot is used to shoot a marble straight up into the air from 2 meters above the
ground with an initial velocity of 30 meters per second, for what values of time t will the
marble be over 35 meters above the ground? (Refer to Exercise 25 in Section 2.3 for assistance
if needed.) Round your answers to two decimal places
Answer:
use this equation: GPE=mgh
Step-by-step explanation:
GPE = gravitational potential energy = J
m = mass = Kg
g = gravitational field = N/kg = world's gravitational field is 9.8N/kg
h = height = m
Decide whether the two inequalities are equivalent. Explain.
b- 12 24: bs 16
O A Yes; if you solve the first inequality for b, you will get the second inequality.
o
B. No; if you graph both inequalities on the same number line, you will cover all real numbers.
O C. No; if you solve the first inequality for b, you will end up with an inequality with a different relation symbol than the second inequality
OD. No, if you graph both inequalities on the same graph, you will get b = 16.
Answer:
D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16
Given that m||n, find the value of x.
Answer:
x = 24°
Step-by-step explanation:
Using 180-degree formula, we can find x.
=> 84 + 4x = 180°
=> 4x = 180 - 84
=> 4x = 96
=> 24°
Therefore, x = 24°
Hoped this helped.
Answer:
[tex] {\boxed {\sf{x = 24 \degree}}}[/tex]
Step-by-step explanation:
In the given figure we have two consecutive interior angles.
We know that each pair of consecutive interior angles is supplementary.
So,
4x+84 = 1804x = 180 - 844x = 96x = 96/4x = 24Therefore, x = 24°
estimation for 5.24 - 2.14
Answer:
3.1
Step-by-step explanation:
lemme know if you want the explanation
Please help me ASAP
Answer:
A: 9.5s+19.95 is less than or equal to 55
Step-by-step explanation:
She has no more than 55 dollars to spend so it cant be greater than but it can be equal to 55 so the answer is the first option
12.) Samuel is 30.75 inches tall. His younger brother, Spencer, is 6 inches shorter. How tall is Spencer?
Answer: Spencer is 24.75 inches tall
Step-by-step explanation: Just subtract 6 from 30.75 to find the answer
Answer:
The percentage increase in Spencer's height is 125%
Step-by-step explanation:
Solution:
Initial height of spencer = 28 inches
Increased height of spencer = 5 feet 3 inches
= 5 feet + 3 inches
(5 feet = 5 ×12=60 inches)
= 60 + 3
ill mark brainliest thanks
Answer:
x=10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
6x-7 = 26+2x+7
Combine like terms
6x-7 = 2x+33
Subtract 2x
6x-7-2x =2x+33-2x
4x-7 = 33
Add 7 to each isde
4x-7 +7 = 33+7
4x=40
Divide by 4
4x/4 = 40/4
x=10
