Answer:
75
Step-by-step explanation:
Let t and u represent the tens and units digits, respectively.
t = u + 2 . . . . the tens digit exceeds the units digit by 2
t + 2u = 17 . . . . the sum of the tens digit and twice the units digit is 17
Substituting for t in the second equation, we get ...
(u +2) +2u = 17
3u = 15 . . . . . . . . subtract 2
u = 5 . . . . . . . . . . divide by 3
t = u+2 = 7
The number is 75.
_____
Check
7 exceeds 5 by 2. 7 + twice 5 = 7 + 10 = 17.
Need help giving 13 points
how to solve 2|4-3x|-2 <10?
━━━━━━━☆☆━━━━━━━
▹ Answer
(-2/3, 10/3)
▹ Step-by-Step Explanation
2|4 - 3x| - 2 < 10
2|-3x + 4| - 2 < 10
2|-3x + 4| < 12
= (-2/3, 10/3)
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Point A is at -7, -3. There are 12 points between A and B. What are possible coordinates for point B?
Answer:
(5,9)
(-19, - 15)
(5, - 15)
(-19, 9)
Step-by-step explanation:
Given that :
Coordinate of point A = - 7, - 3
Number of points between point A and B = 12
Possible coordinate of point B
Possible coordinates of point B:
(-7, - 3) + 12 = (5, 9)
(-7, - 3) - 12 = (-19, - 15)
(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)
(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)
Hence possible coordinates of be are :
(5,9)
(-19, - 15)
(5, - 15)
(-19, 9)
Simplifying Square Roots of negative numbers
Answer:
0+10i
Step-by-step explanation:
First, the square root of 100 is 10 because 10*10 is 100.
i=-1
Therefore, to get rid of the minus, it would be 10i
Since there is nothing else to solve,
the answer is 0+10i
Louise Gaines is paid a bi-weekly salary of $6,000. To date, she has earned $96,000. Her filing
status is Head of Household.
What is her Social Security tax withholding for this pay period?
Answer:
$5952
Step-by-step explanation:
By the Federal Insurance Contributions Act which is a U.S. payroll tax meant to fund Medicare and Social Security, the FICA tax is shared among the employer and the employee whereby the employers share is 7.65% of the employees gross income and the employees share is also 7.65% of their gross income with 6.2% being for social security and 1.45% being for Medicare.
Louise Gaines, therefore will have 6.2% of $96,000 or $96,000 × 0.062 = $5952 withheld for the period.
The number of peanuts in bags is normally distributed with a mean of 184.7 peanuts and a standard deviation of 3.3 peanuts. What is the z-score of a bag containing 178 peanuts? Question 6 options: negative 1.42 negative 2.03 negative 2.49 negative 1.65
Answer:
The z-score of a bag containing 178 peanuts is -2.03.
Step-by-step explanation:
A z-score is a normally distributed value with mean 0 and standard deviation 1. The distribution of these z-scores is known as the standard normal distribution.
The formula to compute z-score is:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
The information provided is:
x = 178
μ = 184.7
σ = 3.3
Compute the z-score of a bag containing 178 peanuts as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{178-184.7}{3.3}\\\\=-2.03[/tex]
Thus, the z-score of a bag containing 178 peanuts is -2.03.
Approximate √18 to the nearest whole number.
Answer:
4 is the answer
Step-by-step explanation:
Answer:
hey
√18 = 4.242
Step-by-step explanation:
rounded = 4
Eighty percent of adults drink coffee and seventy percent drink tea. What is the smallest possible percent of adults who drink both coffee and tea?
Answer:
50%
Step-by-step explanation:
Given that Eighty percent ( 80%) of adults drink coffee and seventy ( 70%) percent drink tea.
Let the percent of the adults that drink coffee and tea be y
The total percentage of adults = 100
80 - y + y + 70 - y = 100
150 - y = 100
- y = 100 - 150
Y = 50.
Therefore, the smallest possible percent of adults who drink both coffee and tea is 50 %
A Simpler Answer:
Add together the probabilities.
80%+70%=150%
Therefore we overcounted 50 percent, so the least amount possible is [tex]\boxed{50\%}[/tex]
How do you know if two line segments are parallel?
A. The slope of one is the negative of the slope of the other.
OB. Their slopes are equal.
C. Their slopes are reciprocals.
D. Their slopes are negative reciprocals.
Answer: B Their slopes are equal.
Step-by-step explanation:
Two line segments are parallel if and only if their slopes are equal.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Two line segments are parallel if and only if their slopes are equal.
If the slopes of two lines are equal, then they have the same steepness and will never intersect.
However, if the slopes are different, the lines will intersect at some point, and they will not be parallel.
Thus,
Two line segments are parallel if and only if their slopes are equal.
Learn more about equation of a line here:
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what is the sum and product of x^2+12x+32=0? pls help me
Answer:
Sum= -12
Product=32
Step-by-step explanation:
[tex]x^2+12x+32=0[/tex]
By factorization, we get
[tex]x^2+4x+8x+32=0\\x(x+4)+8(x+4)=0\\(x+4)(x+8)=0\\[/tex]
Therefore, the roots of the equation are = -4,-8
Sum of the roots =[tex]\alpha+\beta =\frac{-b}{a}[/tex]
[tex]\alpha +\beta[/tex]=[tex]-8-4=-12[/tex]
Product of the roots=[tex]\alpha \beta =\frac{c}{a}[/tex]
[tex]\alpha \beta =8*4=32[/tex]
Solve for u.
4u²+3=-8u
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution."
Answer:
u = [tex]-\frac{1}{2}[/tex] ; u = [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
4u² + 3 = -8u
4u² + 3 + 8u = -8u + 8u (add 8u both sides)
4u² + 8u + 3 = 0 simplify
using quadratic equation:
- 8 ± √ (8² - 4 * 4 *3)
u = ------------------------------
2 * 4
u = [tex]-\frac{1}{2}[/tex] ; u = [tex]-\frac{3}{2}[/tex]
Nikki works at a store that sells consumer electronics. She earns $12 per hour, plus a commission of 5% of her total sales amount each day. Nikki worked 8 hours on Saturday. Including her commission, Nikki earned a total of $139 on Saturday. Which equation can be solved for x, Nikki’s total sales amount in dollars on Saturday?
Answer:
See below.
Step-by-step explanation:
So, Nikki earns $12 per hour.
And she also earns a 5% or 0.05 commission of her total sales each day.
On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.
Thus:
[tex]139=96+0.05x[/tex]
Where x represents Nikki's total sales on Saturday.
Further notes:
To solve, subtract 96 from both sides and divide by 0.05:
[tex]139=96+0.05x\\43=0.05x\\x=\$860[/tex]
Thus, her total sales that day were $860.
(12y2
+ 17y - 4) + (9y2
- 13y + 3) =
Answer:
[tex]21y^{2} +4y-1[/tex]
Step-by-step explanation:
Hello!
[tex](12y^{2} +17y-4)+(9y^{2} -13y+3)[/tex]
For this, we can combine like terms
[tex]12y^{2} +9y^{2}=21y^{2}[/tex]
17y - 13y = 4y
-4 + 3 = -1
Combine the answers and we get
[tex]21y^{2} +4y-1[/tex]
Hope this Helps!
Answer:
21y² + 4y -1
Step-by-step explanation:
(12y² + 17y - 4) + (9y² - 13y + 3) ---- remove parentheses
= 12y² + 17y - 4y + 9y² - 13y + 3
= 12y² + 9y² + 17y - 13y - 4 + 3 -----grouped like terms
= 21y² + 17y - 13y - 4 + 3
= 21y² + 4y - 4 + 3
= 21y² + 4y - 1
4.89 x 2.2 find the product
Answer: Hi!
4.89 * 2.2 = 10.758 (rounded is 10.76 or 10.8)
Tip: Line up the terms vertically and multiply.
Hope this helps!
-4.75 = x/2 what is x
Answer:
x= -9.5
Step-by-step explanation:
We want to find out what the variable, x, is equal to. Therefore, we must isolate the variable on one side of the equation.
-4.75 = x/2
x is being divided by 2. The inverse of division is multiplication. Multiply both sides of the equation by 2.
2*(-4.75) = (x/2)*2
2*(-4.75)=x
2* -4.75=x
Multiply 2 and -4.75
-9.5=x
Let's check our solution. Plug -9.5 back in for x and solve.
-4.75= x/2
-4.75= -9.5/2
-4.75= -4.75
This checks out, so we know our solution is correct.
x is equal to -9.5
Answer:
[tex]x = \frac{19}{2} [/tex]
Step-by-step explanation:
[tex] \frac{x}{2} = - 4.75[/tex]
First convert the decimal to an improper fraction
That's
[tex] - 4.75 = - \frac{19}{4} [/tex]
So we have
[tex] \frac{x}{2} = - \frac{19}{4} [/tex]
Cross multiply
4x = - 38
Divide both sides by 4
We have the final answer as
[tex]x = \frac{19}{2} [/tex]
Hope this helps you
how many planes contain the same three collinear points?
Answer:
The points are collinear if the slope of any two pair of points is the same. Many infinite planes pass through that line. Thus, there are infinite planes contain the same three collinear plane.
Answer:
infinitely many
Step-by-step explanation:
well if you think about it in a 3D plane
we can make to planes intercept at a line
and we can make another plane that another plane interceptes the other to planes in the same line
and another
and another
...
so we can have three points in the line (collinear) that the planes intercept and we are done
Need help with 2,4,6!!!!!!!!!!!!!!
Answer:
m+22=30m+22-22=30-22
m=8
7y=287/7 y=28/7
y=4
12+3p=-312-12+3p=-3-12
3p=-15
3/3 p=-15/3
p=-5
easy 10 points and brainliest :)
Answer:
quadrant 1
Step-by-step explanation:
both of them are positive
Answer:
Quadrant I
Step-by-step explanation:
Since x is greater than zero and y is greater than zero, that means the point (x, y) is to the right and above the origin. Hence, the first quadrant.
Cheers.
OA) 30°
O B) 60°
D) 50°
OC) 90°
Answer:
A) 30°
Step-by-step explanation:
Sum of three angles of a triangle = 180°
75° +75° + ∠WYZ = 180°
Add like terms
150° + ∠WYZ = 180°
Subtract 150°from both sides
∠WYZ = 180 - 150
∠WYZ = 30°
Which of the following functions is not quadratic?
Answer:
f ( x ) = 5x - 5 is not a quadratic function.
The degree of the equation f(x) = 5x – 5 is one, then it is not a quadratic equation. Then the correct option is B.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
If the degree of the equation is not 2, then the function is not a quadratic.
f(x) = 5x – 5, the degree of the equation is one, then it is not a quadratic equation.
Then the correct option is B.
More about the quadratic equation link is given below.
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Two less than a number and five is 12 less than the number itself
Answer: x - 2 + 5 = x - 12
Step-by-step explanation:
At first I was confused. Then I read the question again and translated it.
Less than translated means - 2.
A number, aka X.
and means plus(+).
when you put that together you get,
x - 2 + 5.
The next step is to translate to second part of the equation.
Is means equals(=).
So far we have: X - 2 + 5 = 12.
This is where I got confused...
After solving that peice, we have the words; " 12 less than the number it's self. I wasn't sure if 2 x's could be in the same equation. Now I know they can.
Above, we established that 'a number' is x.
Now, it's talking about that number again because it says; "The number itself." At first, I thought it was talking about 12 - 12! Then I realized that it's not.
The new equation, after understanding that in the second piece isn't 12 - 12, would be none other than,
x - 2 + 5 = 12 - x
I hope this helps!!
Answer:
Step-by-step explanation:
Twelve less than the one-fifth of a number is-7
what is x? please answer asap!!
Answer:
Hey there!
Angle x is equal to 148 degrees because it is supplementary with the angle of 32 degrees.
Let me know if this helps :)
Solve the Equation. 20x + 12 ≥ 14x + 30 A. x ≥ 7 B. x ≤ 7 C. x ≥ 3 D. x ≤ 3
Answer:
x≥3
Step-by-step explanation:
Treat the ≥ symbol like it is an equals sign. First, subtract 14x from each side to get 6x+12≥30. Then, Subtract 12 from each side to get 6x≥18. I will let you solve the rest :)
Answer:
[tex]\huge\boxed{C.\ x\geq3}[/tex]
Step-by-step explanation:
[tex]20x+12\geq14x+30\qquad\text{subtract 12 from both sides}\\\\20x+12-12\geq14x+30-12\\\\20x\geq14x+18\qquad\text{subtract}\ 14x\ \text{from both sides}\\\\20x-14x\geq14x-14x+18\\\\6x\geq18\qquad\text{divide both sides by 6}\\\\\dfrac{6x}{6}\geq\dfrac{18}{6}\\\\\boxed{x\geq3}[/tex]
4.89 gallons of milk is sold for $12.79. If you have $21.44 in your wallet. How many
gallons of milk you can buy?
Answer:
You can buy 8.18 gallons of milk.
Step-by-step explanation:
12.79/4.89 = 2.62
21.44/2.62 = 8.18
What are some important considerations when conducting cross-cultural research? Is there ever a time when research findings might be free of culture?
Answer:
Following are the relevant factors about cross-cultural research
Step-by-step explanation:
The Cross-cultural also known as the Intercultural studies, it involves work performed across various geographical regions improving student with different cultural backgrounds. While there are several similarities in certain human emotions, feelings, and behavior patterns, delicate differentiation is motivated by religion, political ideology, culture, etc.
It also means that with these distinctions, one could not make assumptions the results to everybody in the world. While most nations are democratic and diverse cos of the enhanced stage of global corporations or organizations, people would stick to their core tenets, traditions, customs or practices, that will make the research difficult to consider as one group. So, cross-cultural research would be the only option and would not shift in the immediate future, as much as the different cultures prevail.PLEASE HELP ME QUICKLY In ΔABC,
if m∠CAD = 29°, the m∠DAB is _______
Answer:
it will also be 29°
Step-by-step explanation:
LDAB will be also 29° cuz D is the bisector and at the top the two lines resembles that. So if CAD is 29° then DAB will be also 29°
I hope so it will help ✨
The angle ∠DAB will be equal to 29 degrees.
What is an angle bisector?The line or line segment that divides an angle into two equal halves is known as the internal angle bisector or (interior) bisector. An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.
Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given that in triangle ABC the angle ∠CAD is 29°. Then the angle will be calculated as below:-
The line AD is an angle bisector at point A of the triangle. Then the two angles ∠CAD and ∠DAB will be equal to each other.
∠CAD = ∠DAB
∠CAD = 29°
Therefore, the angle ∠DAB will be equal to 29 degrees.
To know more about an angle bisector follow
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A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)? Determine the gear ratio for a bike with 45 front teeth and 18 rear sprocket teeth.
Answer:
The answer is 660.4 millimeters in diameter.
Step-by-step explanation:
The wheel is 26 inches in diameter. An inch is 25.4 millimeters. 26 * 25.4 = 660.4
What is the value of x?
O 30
O 45
O 55
O 60
please help on 9 to be marked the brainliest
Which expression is equal to – 3i(4 – 2i)?
-61
0-6 – 12i
O 6 – 12i
-12 – 6i
Answer:
-23
Step-by-step explanation:
-3i(4-2i)?
-61
0-6-12i
-12-6i
An expression that is equivalent to -3i(4 - 2i) is: B. -6 - 12i.
What is the distribution property of multiplication?The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.
Note: i² is equal to -1 and i is equal to [tex]\sqrt{-1}[/tex].
By applying the distributive property of multiplication to the given expression, we have:
-3i(4 - 2i) = -3i(4) + 3i(2i)
-3i(4 - 2i) = -12i + 6(-1)
-3i(4 - 2i) = -12i - 6.
-3i(4 - 2i) = -6 - 12i.
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