Answer:
[tex] - y = 2x \times 6 \\ 2x - 6 = - y \\ 2x = - y + 6 \\ 2x = 6 - y \\ \frac{2x}{2} = \frac{6 - y}{2} \\ x = \frac{ - y}{2} + 3 \\ \\ \\ - y = 2x - 6 \\ - y = 2x - 6 \\ \frac{ - y}{ - 1} = \frac{2x - 6}{ - 1} \\ y = 6 - 2x[/tex]
air flows through a duct at 2400 cubic feet per minute after several feet in a few vent the air flow decreases to 1680 cubic feet what is the percent drop that has occurred
Answer:
I think the answer is 7.2%
Step-by-step explanation:
2400-1680=720
720/100=7.2
7.2 is the answer
Hope this helps!
Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 4 to 2. Tia wants to sell a total of 54 apples and oranges. How many apples should she sell?
Answer:
Tia should sell 4(9), or 36, apples
Step-by-step explanation:
Find the value of the multiplier, p, that makes 4a + 2a = 54: a turns out to be 9. Then 4(9) + 2(9) = 54 is correct. Tia should sell 4(9), or 36, apples and half as many oranges, or 18. Note that 36 + 18 + 54.
Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. answers: A) 28° B) 56° C) 180° D) 112°
Answer:
D) 112°
Step-by-step explanation:
Reflection is a type of transformation that require the turning of a point or an object about a reference point line.
In the given question, when the point is first reflected about l, it rotates at an angle of 56°. Then reflecting it about m give a total rotation of 112° by the point. Thus, the point (-4, 1) is rotated twice the angle between lines l and m.
Find the simplest pattern and insert the missing terms of the sequences. o, t, t, f, f, s, s, e, n, ...
Answer:
The letters are the first letter of their corresponding numbers (one, two, three = o, t, t). This means that the next terms will be t, e, t, t, f, f, s, s, e, n, t and so on.
h(t)=-16t^{2}+100t+10 find the domain and range. please
Answer:
Step-by-step explanation:
The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2). The axis of symmetry is
-b -100
x = --------- = ----------- = 50/16 = 25/8.
2a 2(-16)
The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.
The largest value this function can take on is 166/25. Thus, the range is
(-infinity, 166/25).
Since the given function is a polynomial, the domain consists of all real numbers.
f (x) = (x - 6)^2(x + 2)^2
Determine the total number of roots of each polynomial function using the factored form
Answer:
x = 6 or x = -2
Step-by-step explanation:
Solve for x:
(x - 6)^2 (x + 2)^2 = 0
Split into two equations:
(x - 6)^2 = 0 or (x + 2)^2 = 0
Take the square root of both sides:
x - 6 = 0 or (x + 2)^2 = 0
Add 6 to both sides:
x = 6 or (x + 2)^2 = 0
Take the square root of both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 or x = -2
Answer:
It is 4 on Edgenuity
Step-by-step explanation:
I took the test
PLEASE HELP QUICKLY! Line k is the perpendicular bisector of (line)PQ. If line k intersects (line)PQ at point R, which of the following statements must be true? check all that apply A. Line k bisects PQ B. PR is congruent to QR C. Line k intersects PQ at a 90 angle D. Point R is the midpoint of line k E. Line k is parallel to PQ
Answer:
A. Line k bisects PQ
B. PR is congruent to QR
C. Line k intersects PQ at a 90 angle
Step-by-step explanation:
A perpendicular bisector of a line is a segment that cuts right in the middle a line, and that segment forms a 90º degree angle with the line. This means that the point where the segment cuts the line would be exactly the half, making both resultant segments on the line congruent. So the options that are correct are ABC.
Answer:
In the diagram below, is the perpendicular bisector of PQ. Which of the following statements must be true?
Check all that apply.
A. PQ is the perpendicular bisector of
√B. mPTR = 90
√C. PT = QT
D. RT = ST
√E.↔rs⊥pq↔
√F. T is the midpoint of PQ
Step-by-step explanation:
Please answer.
Clarissa works in sales for a software company. Her pay each month varies, because each month she receives a base pay of $2,400.00 plus 8% commission on her sales. During the month of November, Clarissa had $18,000.00 in sales. For the month of November, what % of Clarissa's pay was from her commission.
Greetings from Brasil...
Just let's make a rule of 3....
$ %
18,000 ------- 100
X ------- 8
100X = 144000
X = 144000/100
X = 1440 (just commission)So, in November her pay:
2400 (base pay) + 1440 (comission) = 3,840Find the solution(s) of the system of equations.
x2 + y2 = 18
In converting 750 ounces to pounds, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 16 ounces in 1 pound.
Answer:
I would use the pounds.
Step-by-step explanation:
The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.
750 ounces 16 ounces
------------------- -----------------
x pounds 1 pound
Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!
I need for this problem. Help please!
Answer:
⇒ x = 3.4975
Step-by-step explanation:
Assume cost of each figure = x
Given:
32x + 2.32 = 114.24
Find:
Value of x
Computation:
⇒ 32x + 2.32 = 114.24
⇒ 32x = 114.24 - 2.32
⇒ 32x = 111.92
⇒ x = 111.92 / 32
⇒ x = 3.4975
PLSSS HELPPPP>>> Show work Solve the system y= -x+3 y=3/2x-2
Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
y = - x + 3 → (1)
y = [tex]\frac{3}{2}[/tex] x - 2 → (2)
Substitute y = [tex]\frac{3}{2}[/tex] x - 2 into (1)
[tex]\frac{3}{2}[/tex] x - 2 = - x + 3 ( multiply through by 2 to clear the fraction
3x - 4 = - 2x + 6 ( add 2x to both sides )
5x - 4 = 6 ( add 4 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (1)
y = - 2 + 3 = 1
Solution is (2, 1 )
-5 times h over 50 is equal to -0.1, Solve for h
Step-by-step explanation:
-5h/50 = -0.1
-1h/10 = -0.1
Multiply both sides by (10/-1)
(10/-1)(-1h/10)= (10/-1)(-0.1)
h= 1
A circular piece of glass has a radius of 1.2 meters. The glass sells for $7.10 per square meter. What is the total cost of the circular piece of glass?
Answer:The total cost is $8.52.
Answer:
31.95 dollars
Step-by-step explanation:
area of the piece of glass=22/7×1.2×1.2
=4.5
1 square metres~7.10
4.5 square meters ~7.10×4.5
=31.95
How to do number a and d?
help please
Answer:
a. Let's call the first number x which would make the other 2 numbers x + 2 and x + 4. Since they have a sum of 54 we can write:
x + x + 2 + x + 4 = 54
3x + 6 = 54
3x = 48
x = 16 so the numbers are 16, 18, 20.
d. We can write:
30 + x = 4(3 + x)
30 + x = 12 + 4x
18 = 3x
x = 6 years
What is the coefficient in this expression?
5-4.7-2x+5/8
-4.7
-2
5/8
5
Answer:
in this expression, -2 is the coefficient.
Step-by-step explanation:
We know that, a coefficient is the number or value placed before a variable in an algebraic expression. here, the only variable is x, so, the coefficient is -2.
in other words, we can say that -2 is the coefficient of x.
Answer: -2
Step-by-step explanation:
PLEASE HELP!!!!
Find the product. Write your answer in
exponential form.
2^6•2^-5
Answer:
2^1
According to the product of powers with the same base, a^m * a^n = a^m+n.
Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.
2^6 * 2^-5
The bases are the same, so we can apply this rule.
6 + -5 = 1
This gives you the answer of 2^1.
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Miriam owes $650 on a credit card. If she makes no purchases or payments, she will go more and more into debt. Which of the following sequences describes her increasing monthly balance?
Answer:
650, 650(1.018), 650 (1.018)^2, 650(1.018)^3, ...
650, 661.7, 673.61, 685.74,698.08, ...
Answer: OPTION B. 650.00, 661.70, 673.61, 685.74, 698.08, ...
Work out the length of RS.
Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-
Answer:
5.83 units
Step-by-step explanation:
Given is a right angled triangle.
Length of base = 2 - (-3) = 2+ 3 = 5 units
Height = 4 - 1 = 3 units
By Pythagorean theorem:
[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]
-(-(-2))+(-3)(-4)(-5)
Answer:
-62
Step-by-step explanation:
Use BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) or use a calc.
-(2) + (12)(-5)
-2 + -60
-62
Answer:
Step-by-step explanation:
-(-(-2)) + ( -3)(-4)(-5) = -2 - (3*4*5) = -2 - 60 = -62
In multiplication, count the number of negative. If number of negative is odd, the result will have negative sign
Please see attachment!!! The formula for finding the area of a rectangle is
A-L times W. Use this formula to find the area of the
rectangle.
Answer:
36cm^2
Step-by-step explanation:
4cm×9cm=36cm^2
Answer:
36cm^2=Area
Step-by-step explanation:
first substitute in the values:
A=4cm×9cm
then multiply those values to get the answer.
4×9=36^2=Area.
Select all the correct answers.
Based on the side lengths given (a, b, and c), which triangles are right triangles?
a = 4,b= 6,c=8
a = 6,b=8,c=10
a =5,b= 6,c = 761
a = 6,b= 9,c = 12
Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
Answer: a= 5,b = 6,c = 8 and a=6,b = 8,c = 10
Step-by-step explanation: I found the correct answer on my test so hopefully this help you! :)
Which of the following is a conditional statement? Question 15 options: A) The quadrilateral has a set of parallel sides and is a trapezoid. B) A polygon is a pentagon if it has five sides. C) The polygon has six sides, but it isn't a regular hexagon. D) The shape is a triangle, and it has an obtuse angle.
Answer:
The correct option is B
B) A polygon is a pentagon if it has five sides
Step-by-step explanation:
Conditional statement is a statement which relate the hypothesis and the conclusion. A simple way to identify a conditional statement is to look out for the words if, if-then, if-else which usually occur in all conditional statements.
In the given option B, the hypothesis is that "If it(polygon) has five side" and the conclusion is that "A polygon is a pentagon"
Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 10 more days to finish the job than the other worker?
Answer:
20 days
Step-by-step explanation:
t = time required by one worker to complete the job alone
(t+8) = time required by the other worker
So:
7.5/ t + 7.5/ (t + 8) = 1
Solve for t.
...
t = 12 days, the first guy working alone
The other worker would finish the job in 20 days.
Answer:
7 days and 17 days
Step-by-step explanation:
We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
whats the name of this shape
Answer:
The name of the shape is called a
Square frustumHope this helps you
Answer:
Trapezoid prism
I just know
how would I write an equation for the points (-5,3) & (-1,-3) for a graph
Answer:
Step-by-step equation y = mx+b.
we first find slope which is y2-y1 / x2-x1 which is -3-3 / -1--5 = -6 / 4 = -3/2
m is the slope
b is the y intercept
so
y = mx+b
looking at the point-5, 3
3(y) = -3/2(slope)*-5(x)+b.
3 = -3/2(-5) +b
3 = 15/2+b
3 = 7.5+b
b = -4.5
so y intercept is -4.5 equation is supposed to be written in y = mx+b =
y = -3/2x+-4.5p
hope i helped
it took me 15 mins to solve and write
can i have brainliest plsss
-zylynn
What is the measure of angle B in degrees? A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has an exterior angle with measure of 112 degrees. °
Step-by-step explanation:
The angle adjacent to 112° will form a straight angle along with 112° adding to 180°. That makes C: 68°
a+c+51 = 180
a+68°+51° = 180°
a+119° = 180°
a = 180° - 119°
a = 61°
a+b = 180°
61+b = 180
b = 180-61
b = 119°
The measure of angle B is 119 degrees.
What is Exterior angle?Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.
All the exterior angles are of same measure, and therefore, their measure is (360/n)°.
The angle adjacent to 112° will form a straight angle along with 112° adding to 180° which makes angle C: 68°
Then;
a+c+51 = 180
a+68°+51° = 180°
a+119° = 180°
a = 180° - 119°
a = 61°
Now,
a+b = 180°
61+b = 180
b = 180-61
b = 119°
Learn more about interior and exterior angles here:
https://brainly.com/question/14173422
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(8x2 - 2x) - (x2 - x + 5)
Answer:
7x^2 -x -5
Step-by-step explanation:
(8x^2 - 2x) - (x^2 - x + 5)
Distribute the minus sign
(8x^2 - 2x) - x^2 + x - 5
Combine like terms
7x^2 -x -5
3. Write the following numbers in standard form. twenty three million seven hundred two thousand eight hundred five ____________________________________________________________ B) five hundred sixty two thousand three and seven hundred twenty two Thousandths____________________________________ C) (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1)
Answer:
A-23,702,805
B- 562,003.722
The standard forms of the given numbers are: Twenty three million seven hundred two thousand eight hundred five can be written as 23,728,805. Five hundred sixty two thousand three and seven hundred twenty two thousandths can be written as 562,003.722. (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1) can be written as 2,094,727.
Here is the explanation for each of the answers:
A) Twenty three million seven hundred two thousand eight hundred five can be written as 23,728,805 by grouping the digits into millions, thousands, hundreds, tens, and units.
B) Five hundred sixty two thousand three and seven hundred twenty two thousandths can be written as 562,003.722 by placing the decimal point after the three and then adding two zeros to the right of the decimal point. The thousandths digit is 722, so we need to add two zeros to the right of the decimal point to make sure that the number is accurate to the thousandths place.
C) (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1) can be written as 2,094,727 by collecting like terms together. The first term, 2 x 1 000 000, is equal to 2,000,000. The second term, 9 x 10 000, is equal to 90,000. The third term, 1 x 1000, is equal to 1000. The fourth term, 4 x 100, is equal to 400. The fifth term, 7 x 0.1, is equal to 7. Adding all of these terms together, we get 2,094,727.
Learn more about standard forms here: brainly.com/question/29000730
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Which statement is the most appropriate comparison of the centers?
Answer:
A
Step-by-step explanation:
In a box and whisker plot, the middle line means the median. Since 30<40, A is the true statement.
