Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segment in the ratio of 5:2. A. (-5, -15) B. (-23, -5) C. (-13, -7) D. (-11.5, -2.5)
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A[tex](x_1,y_1)[/tex] and B[tex](x_2,y_2)[/tex] in the ratio m:n is given by:
[tex]x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1[/tex]
Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:
[tex]x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7[/tex]
Therefore the coordinates of point X is at (-13, -7)
y-3x=13 solve for y ♀️
Answer:
y = 3x+13
Step-by-step explanation:
y-3x=13
Add 3x to each side
y-3x+3x=3x+13
y = 3x+13
The value of y for the given equation y - 3x = 13 is calculated to be y = 3x + 13.
Given that:
y - 3x = 13
It is required to find the value of y.
In order to find the value of y, the equation has to be solved in such a way that y has to be kept on one side.
Consider:
y - 3x = 13
Add 3x on both sides.
y - 3x + 3x = 13 + 3x
y = 13 + 3x
Hence, the value of y is 13 + 3x.
Learn more about Equations here :
https://brainly.com/question/29657992
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What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm
Answer:
28\3
Step-by-step explanation:
HELP idk what the slope is
Answer:
the slope is -3
Step-by-step explanation:
Answer:
the slope is 3
Step-by-step explanation:
Please answer ASAP. The question is down below
Answer: A
Step-by-step explanation:
Notes: Dividing by a fraction means to multiply by its reciprocal.
The denominator cannot equal zero.
[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]
hey i suck at math can someone help me with this question
we can subtract the trapezium (white part) formed after from the trapezium (including white and grey) to get area of striped part
area of trapezium is [tex]\frac H2(a+b)[/tex] where $a$ and $b$ are parallel sides.
for bigger trapezium, $h=4$ parallel sides are $5$ and $5$
hence area is $\frac{4(5+5)}{2}=20$
similarily area of white trapezium, $\frac{4(3+3)}{2}=12$
and area of striped part is $20-12=8$
Which graph represents a function?
Answer:
The first Answer:
Step-by-step explanation:
The x-values are not the same on one line:
Image
The line connecting isn't perfect but see what I mean?
How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)
Answer:
The positive integer factors of 15552 that are perfect squares are;
1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184
Step-by-step explanation:
The positive integer factors of 15552 are;
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 864, 972, 1296, 1728, 1944, 2592, 3888, 5184, 7776, 15552
The perfect square integers are;
1 = 1 × 1
4 = 2 × 2
9 = 3 × 3
16 = 4 × 4
36 = 6 × 6
64 = 8 × 8
91 = 9 × 9
144 = 12 × 12
324 = 18 × 18
576 = 24 × 24
1296 = 36 × 36
5184 = 72 × 72
Therefore, the positive integer factors of 15552 that are perfect squares are;
1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184.
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number what are the numbers
Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
A positive number is 7 times another number:
a = 7bIf 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:
a+3 = 5/2 × (b +3)To solve this we substitute a with 7b in the second equation:
7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 214b + 6 = 5b + 15 ⇒ collecting like terms14b - 5b = 15 - 69b = 9b = 1 ⇒ solved for bThen, finding a:
a= 7ba=7*1a= 7 ⇒ solved for aSo the numbers are 7 and 1
There are (43)2⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm?
Answer:
3,440 strawberries
Step-by-step explanation:
Because of PEMDAS you want to start with the parentheses, and want to treat them like the distributive property.
So,
43 x 2 = 86
Then,
86 x 40 = 3440.
I hope that helps!!
Answer: 3440 strawberries on the farm.
Step-by-step explanation: (43)(2)⋅40 (86)(40) 3440
A laptop has a listed price of $703.98 before tax. If the sales tax rate is 9.25% , find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
The cost of the laptop is $769.10Step-by-step explanation:
In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax
we are given that the tax rate is 9.25% of the initial cost
and the initial cost is $703.98
let us calculate 9.25% of $703.98
(9.25/100)* 703.98= 0.0925*703.98= $65.12
Hence the charges for tax is $65.12
The total cost of the laptop when tax is included is
the initial cost Plus the tax charges= $703.98+$65.12= $769.098
$769.10
there are 63 students marching in a band, and they're marching in 7 rows how many students are in each row
Answer:
9 people per row
Step-by-step explanation:
63/7=9
let me now if right
Porfavor resolv erme esas preguntas o una :v porfis .El salón de mi clase de matemáticas mide 700 m2, cuánto mide 1/4 del salón? Cuánto mide 3/4 del salón? . Cuántos minutos son 3/5 de media hora? . Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared, cuánta pintura necesitaremos? . Si se necesitan 2/5 de naranja para hacer un vaso de jugo de naranja, cuántas naranjas necesitas para hacer 2 vasos y medio?
Answer:
Explained below.
Step-by-step explanation:
The question is:
Please answer me these questions or one: v please. My math class room is 700 m2, how much is 1/4 of the room? How long is 3/4 of the room? . How many minutes is 3/5 of a half hour? . It takes 4/7 of a liter of paint to paint a square meter of wall, if we want to paint 2/5 of a square meter of wall, how much paint will we need? . If it takes 2/5 of an orange to make a glass of orange juice, how many oranges do you need to make 2 and a half glasses?
(1)
Compute 1/4th of the math class room as follows:
[tex]=700\times\frac{1}{4}\\=175[/tex]
Thus, 1/4th of the math class room is 175 m².
(2)
Compute 3/4th of the math class room as follows:
[tex]=700\times\frac{3}{4}\\=525[/tex]
Thus, 3/4th of the math class room is 525 m².
(3)
Compute 3/5th of half an hour as follows:
[tex]=30\times \frac{3}[5}\\=18[/tex]
Thus, 3/5th of half an hour is 18 minutes.
(4)
A square meter of wall required 4/7 liter of paint.
Then 2/5 of a square meter will require,
[tex]=\frac{4}{7}\times \frac{2}{5}\\\\=\frac{8}{35}[/tex]
Thus, 8/35 liter of paint will be used to pain /5 of a square meter of the wall.
(5)
1 glass of orange juice can be made using 2/5 of an orange.
Then 2 and half glass will require,
[tex]=\frac{2}{5}\times 2\frac{1}{2}\\\\=\frac{2}{5}\times \frac{5}{2}\\\\=1[/tex]
Thus, 1 orange will be required to make 2 and half glass of orange juice.
Brian is building a wood frame around a window in his house. If the window is 4 feet by 5 feet, how much wood does he need for the frame?
Answer:
18 feet
Step-by-step explanation:
to find the frame around the widow means need to find the perimeter around the window:
P=2l+2w
P= 2(5+4)
P=18 feet
Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth.
Answer:
26.5 liters
Step-by-step explanation:
We know that 1 gallon is 4 quarts, and 1 gallon is approx. 3.78 liters. There's 7 days in a week, so 7 gallons of water is being flowed through. Multiplying 3.78 by 7, we get 26.46 liters per week. Rounding to the nearest tenth, and we get 26.5 liters.
ANSWER QUICKLY PLZZZZZZ ASAP
READ QUESTIONS CAREFULLY
3(x-4)=-5 solve for x
Answer:
x = 7/3
Step-by-step explanation:
3(x-4)=-5
Distribute
3x - 12 = -5
Add 12 to each side
3x -12+12 = -5+12
3x = 7
Divide by 3
3x/3 = 7/3
x = 7/3
Answer:
x = 7/3
Step-by-step explanation:
3(x-4)=-5
3x -12= -5
3x = 7
x =7/3
Solve logs (8 - 3x) = log20 for x.
A. X = 14
B. X = -13
C.x = -8
D. X= -4
Answer:
x = -4
Step-by-step explanation:
logs (8 - 3x) = log20
Since we are taking the log on each side
log a = log b then a = b
8 -3x = 20
Subtract 8 from each side
8 -3x-8 =20 -8
-3x = 12
Divide by -3
-3x/-3 = 12/-3
x = -4
Answer:
[tex] \boxed{\sf x = -4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: x \: over \: the \: r eal \: numbers:[/tex]
[tex] \sf \implies log(8 - 3x) = log 20[/tex]
[tex] \sf Cancel \: logarithms \: by \: taking \: exp \: of \: both \: sides:[/tex]
[tex] \sf \implies 8 - 3x = 20[/tex]
[tex] \sf Subtract \: 8 \: from \: both \: sides:[/tex]
[tex] \sf \implies 8 - 3x - 8 = 20 - 8 [/tex]
[tex] \sf \implies - 3x = 12 [/tex]
[tex] \sf Divide \: both \: sides \: by \: - 3:[/tex]
[tex] \sf \implies \frac{-3x}{-3} = \frac{12}{-3} [/tex]
[tex] \sf \implies x = - 4[/tex]
I need help on this question please.
Answer:
27π inch^3
Step-by-step explanation:
Write the following fractions as mixed number: 46/9, and 32/5
Answer:
[tex]5 \frac{1}{9}[/tex]
[tex]6 \frac{2}{5}[/tex]
Step-by-step explanation:
We can convert these improper fractions into mixed numbers by seeing how many times the denominator goes into the numerator.
In [tex]\frac{46}{9}[/tex], 9 goes into 46 5 times, with a remainder of 1. So:
[tex]5 \frac{1}{9}[/tex].
In [tex]\frac{32}{5}[/tex], 5 goes into 32 6 times with a remainder of 2, so:
[tex]6 \frac{2}{5}[/tex].
Hope this helped!
Answer:
5 1/9 and 6 2/5
Step-by-step explanation:
The simplest way to convert improper fractions into mixed fractions is by long division (see attached).
in a polynomial function of degree 5, what is the maximum number of extreme that could be possible? (please explain with the answer if possible!)
Answer:
4 maximum extrema
Step-by-step explanation:
5th degree means that it can change direction 5 times, therefore creating a maximum of 4 extrema
We can calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation e=17/20d. How many U.S. dollars have the same value as 1 euro?
Answer:
1.18 dollar.
Step-by-step explanation:
E = 17/20D
E => The amount in euros.
D => The amount in dollars.
From the question given,
E = 1
D =?
E = 17/20D
1 = 17/20D
Cross multiply
20 x 1 = 17D
20 = 17D
Divide both side by 17
D = 20/17
D = 1.18
Therefore, 1.18 dollar is equivalent to 1 euro.
Answer:
How many Euros have the same value as 1 U.S. dollar?
17/20 euros
How many U.S. dollars have the same value as 1 euro?
59/50 dollars
(or 0.85 either one is correct)
Step-by-step explanation:
Khan Academy
Hope this helps! ;)
What were Malcolm's and Ravi's maximum speeds?
Answer:
Malcom's maximum speed = 200 km/h
Ravi's maximum speed = 320 km/h
Step-by-step explanation:
Represent the maximum speed of Malcolm and Ravi with equation as follows:
Let Malcom's speed be x, and Ravi's speed by y.
The average of speed is said to be 260 km/h. An equation to represent this is: [tex] \frac{x + y}{2} = 260 [/tex]
[tex] x + y = 260*2 [/tex]
[tex] x + y = 520 [/tex] => equation 1.
We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is [tex] 2x = y + 80 [/tex]
[tex] 2x - y = 80 [/tex] => equation 2
Now that we have 2 equations as a system, solve for the values of x and y simultaneously.
Add both equations together to eliminate y
[tex] x + y = 520 [/tex]
[tex] 2x - y = 80 [/tex]
[tex] 3x = 600 [/tex]
[tex] x = \frac{600}{3} [/tex]
[tex] x = 200 [/tex]
Plug in the value of x into equation 1 to find y.
[tex] 200 + y = 520 [/tex]
[tex] y = 520 - 200 [/tex]
[tex] y = 320 [/tex]
Malcom's maximum speed = x = 200 km/h
Ravi's maximum speed = y = 320 km/h
asap!!
~~~~~~
A line passes through point (–6, –1) and is parallel to the equation y = –2x – 5. What's the equation of the line?
Question 25 options:
y = –2x – 13
y = 12{"version":"1.1","math":"\(\frac{1}{2}\)"}x + 3
y = –12{"version":"1.1","math":"\(\frac{1}{2}\)"}x – 1
y = 2x + 5
click on picture for a, b, c ,or d
Answer:
y=−2x−13.
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=−2x−5.
The slope of the parallel line is the same: m=−2.
So, the equation of the parallel line is y=−2x+a.
To find a, we use the fact that the line should pass through the given point: −1=(−2)⋅(−6)+a.
Thus, a=−13.
Therefore, the equation of the line is y=−2x−13.
Can you help me find all the seventh roots of unity? what do they look like graphed?
Answer:
There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.
The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.
How to find?
There are 4 fourth roots of unity and they are 1, i,−1 and−i
Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ( 2 π ) + i sin ( 2 π ) = 1.
how many are 1 raised to 2 ???
Answer:
1
Step-by-step explanation:
1^2
Means 1 multiplied by itself 2 times
1*1
1
Special right triangles
what should we do??? the question isn't there!
(−2a+5−b)⋅(−5) <- does this equal to 10a−25+5b?
Answer:
Yes!
Step-by-step explanation:
What number must be added to the expression for it to equal zero? (–6.89 + 14.52) + (–14.52)
Answer:
The number to be added is 6.89
Step-by-step explanation:
Here, we want to know what number must be added to the expression to make it equal to zero.
Let the number be x
Thus;
-6.89 + 14.52 -14.52 + x = 0
-6.89 + x = 0
x = 6.89
4n-6 (n - 2) = -24 + 7n
O No Solutions
O All Real Numbers
O n = 4
O n = 2.9