[tex]\begin{array}{ccll} pens&\$\\ \cline{1-2} 10 & 8\\ 2& x \end{array} \implies \cfrac{10}{2}=\cfrac{8}{x}\implies 5=\cfrac{8}{x}\implies 5x=8\implies x=\cfrac{8}{5}\implies x=1.6[/tex]
PLEASE HELP!
Use the Euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. State your answer as a list with $x$ first and $y$ second, separated by a comma.
Using the Euclidean algorithm integer integers $x$ and $y$ is: [ (-30 + 37k ), (133 - 164k) ].
Euclidean AlgorithmGiven:
$164x + 37y = 1
First step
Sequence of quotients
4(37) + 16=164
2(16) + 5=37
3(5) + 1=16
4(1) + 1=5
1(1) + 0=1
4 2 3 4 1
1 0 1 2 7 30 37
0 1 4 9 31 133 164
Determinant
(164×30) - (37×133)
=4,920-4,921
= -1
164(-30) + 37(133)
=-4,920+4,921
= 1
Second step
Integer
[(x + bk), (y - ak) ]
Where:
x = -30
y = 133
k=integer
Hence:
[ (-30 + 37k ), (133 - 164k) ]
Therefore using the Euclidean algorithm the integer is: [ (-30 + 37k ), (133 - 164k) ].
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Determine the equation of the line passing through the points (−1,1) and (1,7).
Write the line in standard form Ax+By=C.
Answer:
[tex]3x - y = -4[/tex]
Step-by-step explanation:
To make things easier, let's first find the equation in slope-intercept form ([tex]y = mx + b[/tex] where m is the slope and b is the y-intercept.
1. Find the slope:
[tex]\frac{7 - 1}{1 - (-1)} = \frac{6}{2} = 3[/tex]
2. Find the y-intercept by plugging in (-1,1) into the equation [tex]y = 3x + b[/tex]
[tex]1 = 3(-1) + b[/tex]
so [tex]b[/tex] = 4
3. Therefore the equation of the line in slope-intercept form is [tex]y = 3x + 4[/tex]
4. To convert slope-intercept form into standard form, let's move the 3x over to the other side and divide by -1 to get rid of the negative.
Our result is [tex]3x - y = -4[/tex].
Hope this helps :)
What is the value of x
Answer:
x = 24
Step-by-step explanation:
Sinθ = opposite side / hypotenuse
Sin30° = AB/BC
½ = 12/x
x = 12 × 2
x = 24
Answer:
x = 24
Step-by-step explanation:
SOH (Sin = Opposite/Hypotenuse)
CAH (Cos = Adjacent/Hypotenuse)
TOA (Tan = Oppositie/Adjacent)
The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.
Sin(30) = 12/x
Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5
0.5 = 12/x
Multiply each side by x
0.5x = 12
Divide off 0.5 from both sides
x = 24
Shira plants carrots in 4/10 of her garden and potatoes in 25/100 of her garden she wants to know what fraction of her garden has carrots and potatoes
Answer:
In the white box with the "?" PUT 40
final answer: 13/20
Step-by-step explanation:
4/10 + 25/100
can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.
4/10 + 25/100
= 40/100 + 25/100
Keep the bottom, add the tops.
= (40+25)/100
= 65/100
always simplify when possible. 5 goes into both 65 and also 100
65/100
= 13/20
13/20 of Shira's garden is planted with carrots and potatoes.
If f (2) = (2 - 3)2 +4 and g(2) = 23 + 2 Which statement is True
Answer:
HOPE THIS HElps
Step-by-step explanation:
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function
How does the radian measure of a central angle of circle O with radius 3 cm change when
circle O is dilated by a factor of 2? Explain.
Answer:
Step-by-step explanation:
The radius of the is extended to 2*3 = 6 cm.
The measure of the central angle is unchanged.
2. Martin read for a total of 150 minutes last week. He read the same amount of time each day for 6 days. Which equation shows, n, the number of minutes Martin read each day? 150 minutes in all n minutes read each day A 150 x 6-n B 150+6=n 150-6-n D 150+6=n
Answer:
n = 150/6
or
n = 25
Step-by-step explanation:
Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.
Therefore, n = 150 / 6
If you make the division n = 25
the tax rate is 6.8%
what is the tax on $9.95
round to the nearest hundredth (explain your answer)
Evaluate A² for A = -4.
Answer:
-4^2= 16
Step-by-step explanation:
a^2 when A=-4 means -4^2 which, when expanded means, -4*-4 that equals a positive 16 because the negatives cancel out.
Answer:
-4^2= 16
Step-by-step explanation:
May I please get help to this question.
Answer: 3
Step-by-step explanation:
Help me please I need it right now like now now
Answer:
$0.84
Step-by-step explanation:
Katie recorded the length in inches of the ribbon pieces she was going to use for a project use this information for questions one and two which line plot correctly shows the data
Answer:
you didnt show any picture so i cant answer
Step-by-step explanation:
Answer:
D OR B hope this helps!
Step-by-step explanation:
order least to greatest -20 3/4, -15 1/2, -14 3/4,-1/4
Answer:
its already in order from least to greatest
Step-by-step explanation:
What is the area of this figure? Please help.
The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²
Area of a composite figureThe area of the composite figure is the sum of the area of the whole figure.
Therefore, the composite figure can be divided into 2 triangles and two rectangles.
Hence,
area of triangle1 = 1 / 2 × 10 × 13 = 65 m²
area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²
area of the rectangle1 = 8 × 3 = 24 m²
area of rectangle2 = 7 × 6 = 42 m²
area of rectangle3 = 5 × 6 = 30 m²
Therefore,
area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared
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Jeff had $20. He spent
3/8 of his money on lunch. How much money does Jeff have left
Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation
Answer:
the answer is C mean absolute deviation
Solve using substitution
y= 7x + 6
4x - 3y =16
Answer:
{y,x} = {-8,-2}
Step-by-step explanation:
Hope this helps.
please solve the problem
I want whole process
Answer:
1
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀□ Question[tex] \Large \frac{ {x}^{p(q - r)} }{ {x}^{q(p - r)} } \div {( \frac{ {x}^{q} }{{x}^{p} } })^{r} [/tex]
⠀
⠀
⠀⠀⠀⠀■ Solution⠀
Multiplying the power⠀
[tex] \sf \Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \div \frac{ {x}^{qr} }{ {x}^{pr} } [/tex]
⠀
⠀
Changing ÷ sign into × by doing reciprocal⠀
[tex] \sf\Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \times \frac{ {x}^{pr} }{ {x}^{qr} } [/tex]
⠀
⠀
As the base(x) is same, if the value is multipying so the power will add, if the value is dividing so the power will subtract.⠀
[tex] \sf {x}^{pq - pr - pq + qr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - pr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - qr + pr - pr} [/tex]
⠀
⠀
If the power of any value become 0,so it's value is always equal to 1⠀
[tex] \sf \Large{ {x}^{0} } \\ \\ \boxed {\large {\rightarrow1 }}[/tex]
Answer:
1
Step-by-step explanation:
Solving :
⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex](\frac{x^{q} }{x^{p} })^{r}[/tex]
⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex][ ({x^{q-p} })^{r}| or| x^{r(q-p)} ][/tex]
⇒ [tex]{x}^{pq-pr-qp+qr}[/tex] ÷ [tex]x^{rq-rp}[/tex]
⇒ [tex]x^{pq-pq+qr-qr+pr-pr}[/tex]
⇒ x⁰
⇒ 1
4. Select all expressions that are equivalent to 3⁹ a. 83 b. (3.3) c. (34)²
Answer:
C and B
Step-by-step explanation:
Evaluate all the exponents
3^8: 6,561
8^3 = 512
(3 * 3) ^4 = 6,561
(3^4)^2 = 6,561
Options C and B would work.
Question #6 MultipleChoice
Show Answer
To find the amount of paper needed to cover the outside of a box, which of the following measurements would
you need to find?
volume of a rectangular prism
volume of a cylinder
surface area of a rectangular prism
surface area of a cylinder
Question #7 MultipleChoice
Show Answer
Answer:
the surface area of a rectangular prism
Step-by-step explanation:
(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]
Step-by-step explanation:
Firstly find the area if the parallelogram which is
=length of the base × vertical height
=
[tex]12m \times 5m[/tex]
=
[tex]60 {m}^{2} [/tex]
Now solve for the area of the circle
=
[tex]\pi {r}^{2} [/tex]
RADIUS = DIAMETER ÷2
[tex] \frac{4m}{2} [/tex]
=
[tex]2m[/tex]
so the area of the circle
=
[tex] \frac{22}{7} \times 2m \times 2m[/tex]
[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]
[tex]12.57 {m}^{2} [/tex]
subtract the area of the circle from the parallelogram
=
[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]
=
[tex]47.43 {m}^{2} [/tex]
Done
Whoever answers these 6 area of composite shapes will get brainliest.
Thank you for your hard work!
Answer:
80 mi²63 in²32 m²44 cm²59.5 ft²48 km²Step-by-step explanation:
Q1
8 x 4 + 12 x 432 + 4880 mi²Q2
5 x 3 + 12 x 415 + 4863 in²Q3
4 x 2 + 8 x 38 + 2432 m²Q4
10 x 4 + 2 x 240 + 444 cm²Q5
5 x 2 + 11 x 4.510 + 49.559.5 ft²Q6
3 x 1 + 9 x 53 + 4548 km²A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?
PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING
Answer:
2880
Step-by-step explanation:
V=whl=12·12·20=2880
If 27 out of 30 people passed a driving
test, what percent failed?
Answer:
10% failed the driving test
Step-by-step explanation:
27/30 = 90% and since 90% is what PASSED, 10% is what FAILED
this should be correct... if its not im sorry
Answer:
10% failed
27 / 30 is 90% so, 100% - 90% = 10%
Please mark Brainliest!!
The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answer:
$75 ?
Step-by-step explanation:
If this is wrong super sorry :)
If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?
Answer:
f(2)=x
Step-by-step explanation:
Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above
What percent of 75 is 24?
Answer:
Your Answer is 32%Explaination:
We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.
We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 1 >> Y = 24
75
STEP 2 >>
24 × 100 = 32
75 × 100 100
STEP 3>> Y = 32%
Finally, we have found the value of Y which is 32 and that is our answer.
You can use a calculator to find what percent of 75 is 24, just enter 24 ÷ 75 × 100 and you will get your answer which is 32.
Answer:
32
Step-by-step explanation:
(75/100) × X = 24
75X = 2400
75X/75 = 2400/75
X = 32
32% of 75 gives you 24
Find five consecutive even integers such that four times the first number plus the fourth number is 35
The five consecutive even integers such that the four times the first number plus the fourth number is 35 are 6 , 8, 10, 12, and 14.
How to find the consecutive integers of the sequence?The even integers are consecutive. Therefore,
let the first even integer = x
Therefore, the sequence is as follows:
x, x + 2, x + 4, x + 6, x + 8.....
Therefore,
4x + x + 6 = 36
5x + 6 = 36
5x = 36 - 6
5x = 30
x = 30 / 5
x = 6
Therefore, the numbers are as follows;
66 + 2 = 86 + 4 = 106 + 6 = 126 + 8 = 14learn more on integers here:https://brainly.com/question/15381903
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Prompt
How would paying off the lowest outstanding balance credit card first be beneficial over paying off the one with the highest
interest rate?
Answer:
NOT: Actually paying the one with the highest interest rate is logically the right thing to do, because you can shorten the amount that you spent on interest or charges by month, but paying off the lowest outstanding balance credit card first makes sense if you could transfer the interest balance which is the highest ...
Step-by-step explanation:
Answer:
Pay at least the minimum payment on all credit cards each month to avoid penalties. After that, work toward paying off the debt on the card with the highest interest rate. While some advocate for paying off your smallest debt first because it seems easier, you’ll save more on interest over time by chipping away at high-interest debt.
Step-by-step explanation:
100% on edge
b) Find
the sum of the series 72 +70+68+ + 40