Step-by-step explanation:
let the numbers be x and y
The system of equations is:
x+y=10
x-y=6
By elimination method,we can:
1. Add both equations to eliminate y and simplify
OR
2.Subtract both equations to eliminate x and simplify.
Going by the first approach
x+x+y+(-y)=10+6
2x+0=16
x=16/2=8
Plug x=8 into any equation,say equation 2
x-y=6
8-y=6
8-6=y
y=2
Answer
Step-by-step explanation:
Find the 62nd term of the arithmetic sequence -27, -21, -15, ...
Answer:
a = -27
d = -21 - ( -27) => 6
a62 => a + 61 (d) +=> -27 + 61(6)
=> -27 + 366
=> 339
Answer:339
Step-by-step explanation:
its right :)
it's from the chapter : "exponents and powers"
i need the workings too
please help
Answer:
505/19
Step-by-step explanation:
Easy
so [3^3-(1/2)^(-3)*(1/19)]
simplify
3^3-8/19
3^3=27
27-8/19
convert element to fraction
(27*19)/19-8/19
combine
(27*19-8)/19
505/19
Have a wonderful day ask me if you have more questions about MATH that goes for anyone who needs math help
Classify each observation as a qualitative or quantitative property of matter.
a. It is red and grey in colour
b.
It is 60 cm long
C.
It is soft and stretchable
d. It will shrink in 70°C water
help please I can't find x or y
the length of the side x will be 3.61 mm and the length of the side y will be 7.48 mm.
We are given the two right angle triangles.
For the smaller triangle:
Side 1 = 3 mm
Side 2 = 2 mm
Side 3 = x mm
Now, by using the Pythagoras theorem, we get that:
3² + 2² = x²
x² = 9 + 4
x² = 13
x = √13 mm
x = 3.61 mm
For the larger triangle:
Side 1 = 5 mm
Side 2 = y mm
Side 3 = 9 mm
Now, by using the Pythagoras theorem , we get that:
5² + y² = 9²
y² = 81 - 25
y² = 56
y = √56 mm
y = 7.48 mm
Therefore, we get that, the length of the side x will be 3.61 mm and the length of the side y will be 7.48 mm.
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find the exponential form of 8/27
Explanation:
Note how 8 = 2^3 and 27 = 3^3
This means, 8/27 = (2^3)/(3^3) = (2/3)^3
For the last step, I used the rule (a^c)/(b^c) = (a/b)^c
Please help fast Prefer A Expert or Above to Help Me out it’s the bottom one!
The value is approximate.
==========================================================
Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
-----------
Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.
Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 6 x cubed + 15 x squared + 20 x + 36 Over 3 x squared + 7 EndFraction? 2 x + StartFraction A Over 3 x squared + 7 EndFraction 2 x + StartFraction A x + B Over 3 x squared + 7 EndFraction 2 x + 5 + StartFraction A Over 3 x squared + 7 EndFraction 2 x + 5 + StartFraction A x + B Over 3 x squared + 7 EndFraction
Answer:
The answer is "quotient =2x+5 and remainder =6x+1".
Step-by-step explanation:
Some of the data is missing that's why defined this question as follows:
Given:
[tex]\to \frac{6x^3+15x^2+20x+36} {3x^2+7}[/tex]
when we divide the above value it will give the quotient =2x+5 and remainder =6x+1.
Answer:
D: 2x+5+(Ax+B)/3x^2+7
Step-by-step explanation:
I somehow got 100 on the quiz
Rachel has 4 pair of blue socks, 2 pair of white socks, 1 pair of brown socks, and three pair of black socks in her dresser drawer. If she selects 1 pair without looking, what is the probability that it will be white?
How do you solve for slope intercept form and point slope form?
8th grade math
PLEASE HELP!
m∥n m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC What is m∠3 ?
Answer:
m∠3 = 49°
Step-by-step explanation:
From the picture attached,
lines m and n are the parallel lines and line t is a transversal line intersecting these parallel lines at E and B respectively.
Therefore, ∠DEF ≅ ∠ABC [Exterior alternate angles]
m∠1 + m∠2 = m∠4 + m∠5
m∠4 = m∠5 [line s bisects ∠ABC]
50° + 48° = m∠4 + m∠4
98° = 2m∠4
m∠4 = 49°
Since, ∠4 ≅ ∠3 [Vertically opposite angles]
m∠3 = 49°
how would i figure this out
9514 1404 393
Answer:
see attached
Step-by-step explanation:
To plot the line through the point, plot the point. Then find another point that has the given "rise" and "run". Draw the line through the two points.
__
The given point is (-7, -4). Locate that on the graph.
The slope is given as -2/3. This is the ratio of "rise" to "run", so it means the "rise" will be -2 for each "run" of 3. (rise/run = -2/3)
The rise is the vertical change. So, you want your second point to be 2 units below the given point. Its y-coordinate will be -4-2 = -6.
The run is the horizontal change. Your second point will be 3 units to the right of the given point, so its x-coordinate will be -7+3 = -4. Now, you can plot the point (-4, -6) and draw your graph through these two points.
100 points please help
Answer:
it is a
Step-by-step explanation:
Answer: it’s A because Richards Park charges an admission fee of $10 plus hourly which is the unit rate which stays at a constant price C=h the hours ($10+$5) is the correct answer. Hope this helps!
Step-by-step explanation:
Zion Williamson is hoping to be the most dominating freshman that Duke has ever seen on the basketball court. In the first 3 games of the season he has scored 28, 27, and 33 points. To be named one of the best, he has to average at least 36 points a game through 4 games. How many points, p, does he have to score in the 4th game to be named one of the best?
A. ≥ 88
B. ≥ 36
C.
D. > 88
Solve:
please help me
Answer:
greater or equal to 56
Step-by-step explanation:
To have an average of 36 points through 4 games, Zion must score 36x4 (144) points. The first three games added together is 28 + 27 + 33 = 88. 144 - 88 = 56.
Three partners x,y and z con an amount of kush 1400000 for an investment .The profit from the investment is to be shared based on contribution of each.A profit of kush 250000 after one month.If x got 60000 ,y 110000 and the remainder was Z. Calculate the ratio of the contribution
Answer:
The ratio of the contribution in the order x:y:z is;
6:11:8
Step-by-step explanation:
Herr, we want to know the ratio of the contribution
The title profit is 250,000
What Z got will be;
250,000-60,000-110,000 = 80,000
So the ratio of the contribution following x,y,z will be ;
60,000:110,000:80,000
= 6:11:8
If f(-5) = 0, what are all the factors of the function f(x) = x2 - 19%+30? Use the Remainder Theorem.
Answer:
A. (x – 2)(x + 5)(x – 3) on edg
Step-by-step explanation:
took the test
Answer:
(x – 2)(x + 5)(x – 3)
It costs $5.67 for 3 gallons of gas. What will be the cost of 8 gallons of gas if the cost varies directly with the number of gallons purchased?
Answer:
$15.12
Step-by-step explanation:
5.67/3=1.89
1.89x8=15.12
The histograms and summary statistics summarize the data for the number of hits in the season by baseball players on two different teams.
Team A
Mean: 151.15
Median:148
Standard Deviation: 26.83
Minimum:29
Q1: 136
Q3: 167
Maximum: 207
Team B
Mean:163.25
Median:157
Standard Deviation:24.93
Minimum:136
Q1:145
Q3: 178
Maximum:256
A.Each data set contains one outlier. if the outliers are removed, which would be more likely to change significantly: the mean or the median? is the standard deviation or interquartile range more likely to change significantly?
Answer:
the answer is 25th to the power
Step-by-step explanation:
the answer
(picture included) brainliest
F(x) =2x-6 and g(x) = 7x +7.
i. Find f(x) = g(x).
ii. Find f(x) -g(x)
iii. Find f(x) + g(x)
i. 2x-6=7x+7 ii. 2x-6-7x+7 iii. 2x-6+7x+7
2x=7x+13 -5x+1 9x+1
0=5x+13
-13=5x
x=-13/5
can you help me with this
Answer:
option A
Step-by-step explanation:
X - 2Y = Z
[tex]\left[\begin{array}{cc}b&a\\4&a\\\end{array}\right]-2\left[\begin{array}{ccc}c&d\\a&b\end{array}\right]=\left[\begin{array}{ccc}a&c\\16&b\end{array}\right] \\\\\left[\begin{array}{cc}b&a\\4&a\\\end{array}\right]-\left[\begin{array}{ccc}2c&2d\\2a&2b\end{array}\right]=\left[\begin{array}{ccc}a&c\\16&b\end{array}\right] \\\\[/tex]
4 - 2a = 16
-2a = 16 - 4
-2a = 12
a = 12/-2
a = -6
a - 2b = b
-6 - 2b = b
-6 = b + 2b
-6 = 3b
-6/3 = b
b = -2
b - 2c = a
-2 - 2c = -6
-2c = -6 +2
-2c = -4
c = -4/-2
c = 2
a - 2d = c
-6 - 2d = 2
-2d = 2 + 6
-2d = 8
d = 8/-2
d = -4
hey gus i have a end of half term test soon on maths do you know what the best way is to revise
☺
Answer:
You can go through your notes, go step by step of the equation to understand what you have to do
Step-by-step explanation:
explain how to find the slope from a graph because i’m still confused
Answer:
Rise/run
Step-by-step explanation: You count how many it rises by and how many it runs. Hope this helps!
What number makes the expressions equivalent?
1/2 (-1.4m + 0.4) = ?m +0.2
Your answer choices:
A) -1.4
B) 1.4
C) -0.7
D) 0.7
Answer:
b
Step-by-step explanation:
The number that makes the given expressions equivalent is -0.7.
What is an Algebraic expression?
An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
1/2 (-1.4m + 0.4) = ?m +0.2
Suppose the unknown number be x.
Then the given expression can be written as,
1/2 (-1.4m + 0.4) = xm + 0.2
=> -0.7m + 0.2 = xm + 0.2
=> -0.7m = xm
=> x = -0.7
Hence, the missing number in the given expression is -0.7.
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Omar rented a jet ski for an afternoon. The fees include $86 for each hour the jet ski is rented and $15 for a life vest. Which of the following quantities would not be represented using a variable? A: The rental fee for the jet ski. B: The rental fee for the life vest. C: The total cost of renting the jet ski. The length of time D: mar rented the jet ski.
Answer:
D
Step-by-step explanation:
the awnser would be d
The awnser would be d because there is no number sequences to make a variable because it is just telling you that mar rented the jet ski
if the sin of angle x is four fifths and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for
According to the given statement the value of sin x = 8/10
What is trigonometry?A mathematical field called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided shape can be decomposed into a group of triangles, trigonometry can be found throughout all of geometry.
How is trigonometry applied in the real world?To roof a home, to make the roof slant (in the case of single-family bungalows), to determine the height of a roof in buildings, etc., use trigonometry. The naval and aviation industries use it. It's applied to cartography (creation of maps). Trigonometry is also used in satellite navigation systems.
According to the given information:sin x = 4/5
We know that:
Sin x = opposite/Hypotenuse.
So,
When the triangle is enlarged, the opposite side will increase to an angle of 8, and the hypotenuse will increase to an angle of 10.
= 4/5 we multiply by 2 with 4 and 5 we get:
= 8/10
4/5 will result from simplifying 8/10. Thus, nothing has changed.
So the value of sin x = 8/10.
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Work out
a) 1 1/5 + 3 2/5
Find the exact length of the third side.
84
13
Kinda slow on thisss pls help
Answer:
85
Step-by-step explanation:
To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 84 as a and 13 as b and square them both. This will give you 7056 for a, and 169 as b. Add them to get 7225. So, c² = 7225. Find the square root of this to get 85. So, the third side is 85 in length.
What is the range of tan x?
1) all real numbers
2) -1
3) y>0
Answer:
all real Numbers may be
Theresa is an accountant who works 57.25 hours a week. Theresa earns $30 per hour as an accountant, and her overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Theresa earn each week?
$1,952.25
$1,976.25
$1,986.25
$1,992.25
What’s the answer? To this problem
Answer:
A . 9.45
Step-by-step explanation:
so 70 times 4.5% is 3.25 which is how much he gets a year . So now you can multiply it by 3 for 3 years which leaves you with 9.45.