2x – 3y = 17 –3x + y = –1

Answer:

5.867346939

Step-by-step explanation:

Answer:

my it help you

Step-by-step explanation:

11.5/1.4²

Answer:

1/3

Step-by-step explanation:

Answer:

y = 3\(\sqrt{7}\)

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

\(\frac{y}{9}\) = \(\frac{7}{y}\) ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = \(\sqrt{63}\) = 3\(\sqrt{7}\)

Answer:

15=3*5

30=5*6

90=5*3*5*2*3

So, HCF=15

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

Hey there!

HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.

The given numbers are: 15,30,90.

15 = 3*5

30 = 2*3*5

90 = 2*3*3*5

Now, from the above solutions take all the common factors.

From the factors of all three numbers, 3*5 are common.

Therefore, the HCF of the numbers is 3*5 = 15.

Hope it helps!

The number of ways to choose 5 people from a total of 15 people is given by 15C5. This can be calculated as follows:15C5 = (15!)/((15-5)! * 5!) = (15 * 14 * 13 * 12 * 11)/(5 * 4 * 3 * 2 * 1) = 3003Therefore, there are 3003 ways to select a committee of 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003.

There are a total of 15 people in the group. A committee of size 5 is to be chosen from a group of 7 men and 8 women randomly. Therefore, the sample space for this situation is 15C5 ways to choose 5 people from a total of 15 people. 15C5 = 3003 ways. That means there are 3003 ways to select 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003. That means the probability of selecting any one committee out of 3003 committees is 1/3003.To compute the probability of selecting any given committee, we first need to determine how many possible committees can be formed from the group of 15 people. The number of ways to choose 5 people from a total of 15 people is given by 15C5. This can be calculated as follows:15C5 = (15!)/((15-5)! * 5!) = (15 * 14 * 13 * 12 * 11)/(5 * 4 * 3 * 2 * 1) = 3003Therefore, there are 3003 ways to select a committee of 5 people from the group of 15 people. The probability of selecting any given committee is 1/3003.

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Answer:

X =65 degrees

Step-by-step explanation:145=(2x+15)

grouping like terms ,the +15 crosses the equal to and turns into -15 and attaches itself to 145.            145-15=2x

                                                   130=2x

if 2x =130 then x will be = 130/2=2x/2

                                             65=x

2/19, 1/18, 1/4, 1/3

sorry about that.

Answer:

Ascending order is 2/19,1/18,1/4,1/4

Step-by-step explanation:

I hope this will help you:)

Answer:

5b

Step-by-step explanation:

Answer:

what sign is between 4b and 5b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

      = 18² + 12² - ( 2 × 18 × 12 × cos75° )

      = 324 + 144 - 432cos75°

      = 468 - 111.8

      = 356.2 ( take the square root of both sides )

AC = \(\sqrt{356.2}\) ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

\(\frac{18}{sinA}\) = \(\frac{18.9}{sin75}\) ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = \(\frac{18sin75}{18.9}\) , then

∠ A = \(sin^{-1}\) ( \(\frac{18sin75}{18.9}\) ) ≈ 66.9°

Answer:the required contributions for Derek to reach his retirement goal would be approximately $16,070.48 per year.To calculate the required contributions for Derek to reach his retirement goal of $3,041,029.00, we need to consider the timeframe from his 26th birthday to his 65th birthday. This gives us a period of 39 years.

Step-by-step explanation:Using the future value of an ordinary annuity formula, we can calculate the required contributions. Plugging in the values:

- Future value (FV) = $3,041,029.00

- Interest rate (r) = 4.00% (expressed as 0.04)

- Number of periods (n) = 39

The formula for calculating the required contributions (PMT) is:

PMT = FV / [(1 + r)^n - 1] * (r / (1 + r))

Substituting the values into the formula, we get:

PMT = $3,041,029.00 / [(1 + 0.04)^39 - 1] * (0.04 / (1 + 0.04))

After calculating this, the required contributions for Derek to reach his retirement goal would be approximately $16,070.48 per year.

Answer:

9.9

Step-by-step explanation:

Let the side of ZX = x

4/8 = x/19.8

Cross-multiply

8x = 79.2

Divide both sides by the coefficient

8x/8 = 79.2/8

x = 9.9

Answer:

x=25

Step-by-step explanation:

155-(90+65)=x

Answer:

x = 25

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

The given is a right triangle

which means one of the angle has a measure of 90

so if we add up all the angles

65 + 90 + x = 180 add like terms

155 +x = 180 subtract 155 from both sides

x = 25

Answer: It's a 180 degree angle.

Step-by-step explanation:

If 60 percent represents the 48 students , then the total number of student is 80

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Represent the total number of students by x;

therefore, 60/100 × x = 48

= 60x/100 = 48

60x = 4800

divide both sides by 60

x = 4800/60

x= 80

therefore the total number of students in the math fair is 80

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Answer:

the answer is b make sure you count up and right

Answer: i believe it's d

Step-by-step explanation:

Answer:

y = 3x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 7 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 6, - 9 ) into the partial equation

- 9 = - 18 + c ⇒ c = - 9 + 18 = 9

y = 3x + 9 ← equation of parallel line

Answer:

a

Step-by-step explanation:

I go it right on my test

;)

Answer:

50cm

200cm

50cm^2

Step-by-step explanation:

The big square is divided into 4 with a side length of 25cm. 2 small square side lengths make up the big squares.

25 * 2 =

50cm

50 + 50 + 50 +50 =

200

15 +2

17

8 + 2

10

17 * 10 = 170

15 * 8 = 120

170-120 = 50

50cm^2

The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer:

25 ÷ 5 + 7 - (4 × 3)

First Brackets :

4 x 3

= 12

Now division :

25 ÷ 5

= 5

So now this is our equation :

5 + 7 -12

Work From left to right:

5 + 7

= 12

12 - 12

==> 0

Hope it helps :))

Answer:

0

Step-by-step explanation:

1. Calculate within the parenthesis:

25 ÷ 5 + 7 - 12

2. Divide:

5 + 7 - 12

3. Add and subtract:

12 - 12

= 0

hope this helps!

When arranging bands 6 and 7 with band 6 performing first and band 7 performing last, there are a total of 8080 different possible arrangements.

To understand why there are 8080 different ways to arrange the bands, we can break down the problem step by step. Since band 6 must perform first and band 7 must perform last, we have fixed positions for these two bands. This leaves us with the remaining bands, numbered from 1 to 5, and band 7 can be seen as the sixth band in this context.

Now, we have six available positions to fill with the remaining five bands (1 to 5) and the additional band 7. This can be represented as arranging the six bands in those six positions. We can think of this as a permutation problem, where we have 6 options for the first position, 5 options for the second position, and so on, until we have 2 options for the second-to-last position. Finally, band 7 takes the last position.

The total number of arrangements can be calculated by multiplying the number of options for each position: 6 × 5 × 4 × 3 × 2 = 720. However, since band 7 can be either the sixth or the last band, we need to double this number to account for both possibilities, resulting in 720 × 2 = 1440 arrangements.

However, there is one more factor to consider. The remaining bands (1 to 5) can be arranged among themselves in 5! (5 factorial) ways, which equals 120 arrangements. Multiplying this by the previously calculated 1440 arrangements gives us 1440 × 120 = 172,800 possible arrangements.

Since band 7 can be seen as the sixth band, we need to divide the total by the number of ways to arrange the remaining bands (1 to 5) in order to get the final answer. 172,800 ÷ 5! = 8080 different ways to arrange the bands when band 6 performs first and band 7 performs last.

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Answer:

there would be 21 cents

Answer:

they would be 21 cents coins

HOPE IT WILL HELP U!

Answer: 0.4 than 0.5

Step-by-step explanation:

Answer:

.40 then .50

edge 2021

Step-by-step explanation:

Answer:

1. NP

2. P

3. P

4. NP

Step-by-step explanation:

if this helped, Mark as brainliest, thank you

Answer:

Not polynomial for the first one.

second is polynomial.

third is polynomial.

and fourth is not polynomial.

Step-by-step explanation:

oh wait- yeah the other person is right too LOL

Answer:

164,160 just do 96% of it

Answer:

i think its 164,160

Step-by-step explanation:

The inverse of the matrix as calculated from the data with a scalar coefficient is,

[ -7 ]

[ -1  ]

x -6y = -1

−2x9y=5

which can be written as ,

[ 1  -6  -1 ]

[  -2 9  5 ]  

A = [ 1  -6

       -2  9  ]

A' = 1 / ( ad - bc ) [ 9  6 ]

                           [  2  1 ]

= [ -3       - 2 ]

  [-2/3  -1/3  ]

on solving them we get the coefficient as ,

[ -7 ]

[ -1  ]

The quantity of rows and columns in a matrix determines its size. As long as they are positive integers, there is no restriction on how many rows and columns a matrix (in the conventional sense) can have. An m n matrix, also known as an m-by-n matrix, is a matrix having m rows and n columns. M and n are referred to as the matrix's dimensions.

Row and column vectors are terms used to describe matrices with a single row or column. A square matrix is one that has the same number of rows and columns.

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The given quadrilaterals are not congruent but are similar and have a scale factor of \(\frac{1}{3}\).

Congruent figures are figures where one of the figure's sides and angles are equivalent to other  figure's corresponding sides and angles.

Clearly, the quadrilateral are not congruent because their size is not equal. Quadrilateral WXYZ is bigger than quadrilateral LMNO.

Similar triangles are triangles which are of same shape. There is no need for the same size.

So the given triangles are similar.

Here the coordinates of quadrilateral LMNO are L (1, 2), M (4, 2), N (3, 3) and 0 (1, 3).

LM = √[(4 - 1)² + (2 - 2)²] = 3

MN = √[(3 - 4)² + (3 - 2)²] = √2

N0 = √[(1 - 3)² + (3 - 3)²] = 2

OL = √[(1 - 1)² + (2 - 3)²] = 1

Coordinates of the quadrilateral WXYZ are W (-6, 6), X (3, 6), Y (0, 9) and Z (-6, 9).

WX = √[(3 - -6)² + (6 - 6)²] = 9

XY = √[(0 - 3)² + (9 - 6)²] = √18

YZ = √[(-6 - 0)² + (9 - 9)²] = 6

ZW = √[(-6 - -6)² + (6 - 9)²] = 3

Now, \(\frac{LM}{WX}\) =  \(\frac{MN}{XY}\) =  \(\frac{NO}{YZ}\) =  \(\frac{OL}{ZW}\) =  \(\frac{1}{3}\)

Hence the figure shown here are similar and the scale factor is  \(\frac{1}{3}\).

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Answer:

40 Percent decrease

Step-by-step explanation:

We can use a simple formula to solve this problem.

Starting price * X/100 = Ending Price

We plug in our values to solve for X

45 * x/100 = 18

You simplify the equation and you should get X as 40, meaning there is a 40 Percent decrease in price.

Answer:

together their year=56 years

younger then his mother=24

56-24=32

Answer:

u reseach in xauthmath

Step-by-step explanation:

i thin 1+n