Answer:
Answer is B
Step-by-step explanation:
[tex]12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ [/tex]
[tex]\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99[/tex]
[tex]y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2[/tex]
(x-2)^3-(x-3)(x^2+3x+9)+9(x+1)^2=15
Hope this may help you ☺
A pair of fair dice each numbered 1 to 6 is tossed . Find the probability of a score of :
i. two odd numbers.
ii. a sum of 8 or a sum of 12.
ii. both prime or both odd numbers.
Answer:
i)
Odd numbers:
1, 3, 5 - 3 options of 6P(odd and odd) = 3/6*3/6 = 1/4
ii)
Total outcomes:
6*6 = 36Sum of 8:
2 + 6, 3 + 5, 4 +4, 5 + 3, 6 + 2 - 5 optionsSum of 12:
6 + 6 = 12 - 1 optionP(8 or 12) = 5/36 + 1/36 = 6/36 = 1/6
iii)
Prime numbers:
2, 3, 5 - 3 options of 6Odd numbers:
1, 3, 5 - 3 options of 6P(prime or odd) = 3/6*3/6 + 3/6*3/6 = 1/4 + 1/4 = 1/2
Please help me
How many solutions does the equation
1-(6x - 4) = 3(1 – x) have?
Answer: one solution
this is all i know
Answer:
D
Step-by-step explanation:
Given
1 - [tex]\frac{1}{2}[/tex] (6x - 4) = 3(1 - x) ← distribute parenthesis on both sides
1 - 3x + 2 = 3 - 3x
3 - 3x = 3 - 3x
Since both sides of the equation are the same , then
This indicates the equation has infinitely many solutions.
3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?
Need ASAP
Answer:
D (0, 3)
Step-by-step explanation:
To go from B (8, 3) to C (3, 8)
subtract 5 from x, add 5 to y
A (5, -2)
subtract 5 from x, x = 0
add 5 to y, y = 3
D (0, 3)
Complete the solution of the equation. Find the
value of y when x equals -8.
4x + 9y = -14
does anyone know what this is?
Answer:
Y is equal to 2
Step-by-step explanation:
X equals -8
So,
4(-8) + 9y = -14
-32 + 9y = -14
-32 + 32 + 9y = -14 + 32
9y = 18
1/9 × 9y = 18 × 1/9
y = 2
How do i solve this plss helpp
Hope this helps!! :)))))))
If a population consisted of 3200 people, a sample of the population could consist of which of the following numbers of people?
A. 320
B. 3,200,000
C.320,000
D.32,000
A survey is conducted in order to collect a piece of specific information. The number of people that can be considered as a sample for the given population is 320.
What is Survey?A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.
Given the population consist of 3200 people, therefore, the number of people that can be considered as a sample for the given population is 320.
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For the equation 3(7 + 2) = 3x + k, what value of k will create an equation with infinitely many solutions?
A)7
B)21
C)10
D)3
Answer:
ygftyhhhhgffyujhhgyjjjhhguj
can someone explain on how to do it please thanks
Answer:
90=30+(x+10). remove blanket
90=30+x+10. correct like terms
90=30+10+x
90=40+x. 40 will cross the = and change from +ve to -ve sign
90-40=x.
therefore
x=40
Answer:
x = 50
Step-by-step explanation:
The 2 angles sum to 90° , that is
x + 10 + 30 = 90
x + 40 = 90 ( subtract 40 from both sides )
x = 50
Which numbers are a distance of 6 units from 2 on the number line? Select the location on the number line to plot each point.
-5 -4 -3 -2 -1 0 +EEE 4 5 6 7 8 9 10 1 2 3
Answer:
We reach at 8.
Step-by-step explanation:
The starting point is 2 .
Jump at the six places, the final point reaches at 8, so the point is 8.
What is the following sum?
4.5+2V5
O 6.10
O 8/10
O ENG
O ONE
Answer:
[tex]6 \sqrt{5} [/tex]
Step-by-step explanation:
Take out Square root 5 as common and then add numbers
[tex]4 \sqrt{5} + 2 \sqrt{5} \\ 6 \sqrt{5} [/tex]
what is 18 7/8 -14 7/9
Answer:
295/72
Step-by-step explanation:
help me find the size of the rhombus :)
Answer:
Step-by-step explanation:
The diagonals of a rhombus divides it into four congruent right triangles. Each triangle is a mirror image of the adjacent.
Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.
Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.
To summarize,
angle 1 = 33°
angle 2 = 57°
angle 3 = 57°
angle 4 = 33°
Problem 6
Let Tn be the nth triangular number, Qn be the nth square number and
Pn be the nth pentagonal number.
(a) Show that 3Pn = T3n-1.
(b) Show that Pn - Qn = Tn-1 and hence that P3n - 3Pn = Q3n.
It has been shown that [tex]3P_{n} =T_{3n-1}[/tex], [tex]3P_{n} =T_{3n-1}[/tex] and hence [tex]3P_{n} =T_{3n-1}[/tex].
Given: [tex]T_{n}[/tex] is the nth triangular number. [tex]Q_{n}[/tex] is the nth square number. [tex]P_{n}[/tex] is the nth pentagonal number.
To show:
[tex]3P_{n} =T_{3n-1}[/tex] [tex]P_{n} -Q_{n} =T_{n-1}[/tex] and hence [tex]P_{3n} -3P_{n} =Q_{3n}[/tex]Triangular numbers are numbers formed by addition of consecutive natural numbers starting from 1. Square numbers are numbers formed by squaring natural numbers. Pentagonal numbers are numbers formed by distinct dots in a pattern of dots consisting of the outlines of regular pentagons with sides up to n dots, when the pentagons are overlaid so that they share one vertex.
The formula for each of them is given by:
[tex]T_{n}=\frac{n(n+1)}{2}[/tex]
[tex]Q_{n}=n^{2}[/tex]
[tex]P_{n}=\frac{3n^{2}-n}{2}[/tex]
(a).
Now, put [tex]n=3n-1[/tex] in [tex]T_{n}=\frac{n(n+1)}{2}[/tex] to get,
[tex]T_{3n-1}=\frac{(3n-1)(3n)}{2}[/tex]
[tex]T_{3n-1}=3\frac{n(3n-1)}{2}[/tex]
[tex]T_{3n-1}=3\frac{3n^{2}-n}{2}[/tex]
Put [tex]P_{n}=\frac{3n^{2}-n}{2}[/tex] in [tex]T_{3n-1}=3\frac{3n^{2}-n}{2}[/tex] to get,
[tex]T_{3n-1}=3P_{n}[/tex]
So, [tex]3P_{n}=T_{3n-1}[/tex]
(b).
Now,
[tex]P_{n}-Q_{n}=\frac{3n^{2}-n}{2}-n^{2}[/tex]
[tex]P_{n}-Q_{n}=\frac{3n^{2}-n-2n^{2}}{2}[/tex]
[tex]P_{n}-Q_{n}=\frac{n^{2}-n}{2}[/tex]
Put [tex]n=n-1[/tex] in [tex]T_{n}=\frac{n(n+1)}{2}[/tex] to get,
[tex]T_{n-1}=\frac{(n-1)(n-1+1)}{2}[/tex]
[tex]T_{n-1}=\frac{(n-1)n}{2}[/tex]
[tex]T_{n-1}=\frac{n^{2}-n}{2}[/tex]
Comparing [tex]P_{n}-Q_{n}=\frac{n^{2}-n}{2}[/tex] and [tex]T_{n-1}=\frac{n^{2}-n}{2}[/tex], we get,
[tex]P_{n}-Q_{n}=T_{n-1}[/tex]
Now, put [tex]n=3n[/tex] in [tex]P_{n}-Q_{n}=T_{n-1}[/tex] to get,
[tex]P_{3n}-Q_{3n}=T_{3n-1}[/tex]
As shown in part (a), [tex]T_{3n-1}=3P_{n}[/tex]
Put [tex]T_{3n-1}=3P_{n}[/tex] in [tex]P_{3n}-Q_{3n}=T_{3n-1}[/tex] to get,
[tex]P_{3n}-Q_{3n}=3P_{n}[/tex]
[tex]P_{3n}-3P_{n}=Q_{3n}[/tex]
So, [tex]P_{n}-Q_{n}=T_{n-1}[/tex] and hence [tex]P_{3n}-3P_{n}=Q_{3n}[/tex]
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For each 70 mm of coloured fabric Alex uses to make his curtains, he also uses 20 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
Answer:
20×10=200mm
70:200
70/10=7
200/10=20
7:20 is your answer in it's simplest form
i don’t understand this at all
Answer:
use the pythagorean theorem
Step-by-step explanation:
a²+b²=c²
A spinner with 12 equal sections is spun. Each section is numbered 1 to 12. What Is the probability of landing on an odd number. A) 25% B) 75% C) 100% D) 50%
Answer:
D
Step-by-step explanation:
I will try my best to love you math, but I will never succeed in math, I will just die in math.
Answer:
your will becanswer $95.00
Answer:
105
Step-by-step explanation:
Price of a fridge is $1050instalment time 10 months
so from 1050÷10
105 ans
please mark as brainliestpls help due in 10 mins
Answer:
Area = 97.4 cm²
Step-by-step explanation:
a = 15 cm
[tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]
[tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]
Jackie burns 250 calories per hour doing aerobics. She has to burn 3500 calories
to lose one pound. How long will Jackie have to work out to lose 5 pounds?
Answer:
70
Step-by-step explanation:
she burns 250 calories per hour .to burn 3500 calories and shed 1 pound she has to work 14 hours and to shed 5 pounds she has to work 14×5=70 hours
PLEASE HELP BRAINLIEST!! Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Simplify and leave in radical form.
Answer:
[tex] { ({x}^{2}. {y}^{6} )}^{ \frac{1}{8} } \\ {x}^{2 \times \frac{1}{8} } . {y}^{6 \times \frac{1}{8} } \\ = {x}^{ \frac{2}{8} } . {y}^{ \frac{6}{8} } \\ = {x}^{ \frac{1}{4} } . {y}^{ \frac{3}{4} } [/tex]
a telephone pole is 24 feet tall
Answer:i honestly dont know just trying to get points
Step-by-step explanation:
When an electron is removed the atom gets a ( ) Charge .
Answer:
positive charge...............
what is 3.78 × 10 ²=
Answer:
3.78 × [tex]10^{2}[/tex] = 378
Step-by-step explanation:
Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.
Answer:
[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)
[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)
[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)
[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)
[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)
Step-by-step explanation:
The general form of a sinusoidal function is represented by the following characteristics:
[tex]y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}[/tex] (1)
Where:
[tex]\Delta y[/tex] - Amplitude.
[tex]\omega[/tex] - Angular frequency.
[tex]x_{o}[/tex] - Phase shift.
[tex]y_{o}[/tex] - Vertical shift.
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
In addition, we know that the period associated with the sinusoidal function ([tex]T[/tex]) is:
[tex]T = \frac{2\pi}{\omega}[/tex]
By direct comparison, we get the following conclusions:
[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)
[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)
[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)
[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)
[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)
help please asap!!! working too please not just the answers!!
Answer:
Area = 4600m
explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step
Answer:
244280
Step-by-step explanation:
you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280
a rectangle and Square have equal perimeter .If the rectangle has width 8 and length 12 what the area of a square?
Order the list of numbers from least to greatest.
Answer:
0, 0.5, 8/3, root 5, 3.1
What is the nth term rule of 7,9,11,13,15
Answer:
[tex]a_{n}[/tex] = 2n + 5
Step-by-step explanation:
There is a common difference between consecutive terms, that is
9 - 7 = 11 - 9 = 13 - 11 = 15 - 13 = 2
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 2 , then
[tex]a_{n}[/tex] = 7 + 2(n - 1) = 7 + 2n - 2 = 2n + 5
A grocery store sells a bag of 4 oranges for $2.84. If arianna spent &3.55 on oranges, how many did she buy?
Answer:
5 dollors i just tookthe test 4
Step-by-step explanation:
Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.
To find out how many oranges Arianna bought, we can use the given price of a bag of 4 oranges and the total amount she spent on oranges.
Let's set up a proportion:
Price of a bag of 4 oranges = $2.84
Amount Arianna spent on oranges = $3.55
Let "x" be the number of bags of oranges Arianna bought.
Since each bag contains 4 oranges, the total number of oranges she bought is 4 times the number of bags (4x).
Now, we can set up the proportion:
(Price of a bag of 4 oranges) / (Amount spent on oranges) = (Number of bags bought) / 4x
$2.84 / $3.55 = 1 / 4x
To solve for "x," cross-multiply:
$2.84 * 4x = $3.55 * 1
11.36x = 3.55
Now, solve for "x":
x = 3.55 / 11.36
x ≈ 0.3125
Since we can't buy a fraction of a bag, we round the value of "x" to the nearest whole number:
x ≈ 0 (rounded to the nearest whole number)
So, Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.
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