Solve the simultaneous equations 2x + 4y = 1 3x - 5y = 7

Answer:

B

Step-by-step explanation:

When you dilate by a factor of 0, this doesn't really make sense because the length of each side is multiplied by 0, and the shape basically doesn't exist anymore. When you multiply by a scale factor of 1, the figure does not change in size at all. When you dilate by a scale factor of 5, each side length gets 5 times larger, meaning that this is not a reduction. Hope this helps!

Answer:

The pilot above at 1000m above ground and pilot below 742.23 metres above ground

Step-by-step explanation:

Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air

I belive,

The experimental probability could be more, the same or less than the theoretical probability of rolling a 1 (which is 1/6).  

The larger your sample (i. e., as you go beyond 60 tosses), the closer the two different probabilities are likely to be.  (Think:  Law of Large Numbers).

Answer:

Step-by-step explanation:

Jsiehsjsndj im here to get you a brainliest

Answer:

U = x^2

hope this helped!

Answer:

x^2

Step-by-step explanation:

The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS

Answer:

x = -2

y = 4

Step-by-step explanation:

6x-5y=-32

-7x+8y=46

Solve for x in the first equation.

6x = -32 + 5y

x = (-32 + 5y) /6

x = 5/6y - 16/3

Put x as 5/6y - 16/3 in the second equation and solve for y.

-7(5/6y - 16/3) +8y = 46

-35/6y+112/3 +8y = 46

13/6y + 112/3 = 46

13/6y = 46 - 112/3

13/6y = 26/3

y = 26/3 × 6/13

y = 4

Put y as 4 in the first equation and solve for x.

6x-5(4)=-32

6x-20 = -32

6x = -32+20

6x = -12

x = -12/6

x = -2

Answer:

3018

Step-by-step explanation:

an = a1 + (n-1)d

a1 is the first term in the sequence = 24

n is the term number which is 500

d is the common difference

Take the second term and subtract the first term to find the common difference

d = 30-24 = 6

a500 = 24 + (500-1) *6

          =24+ 499*6

          =24 + 2994

          =3018

Answer:

3018 is the correct answer.

The answer is step 2. hope it helps.

Answer:

step 2

Step-by-step explanation:

Answer:

just multiply 18.00 by 15 and than divide 100

Answer:

Discount = $2.70

Price = 18 - 2.70 = $15.30

Step-by-step explanation:

18 x 0.15 = 2.7

Answer:

2.36 =C or your diagonal side

Step-by-step explanation:

You have rectangle that is

2 by 1.25

2² + 1.25² =C²

4 + 1.5625=C²

5.5625 = C²

2.36 =C

Answer:

D

Step-by-step explanation:

We can substitute y = 2x + 1 in the second equation

2x + 1 = -7x + 8

Add 7x to both sides

9x + 1 = 8

Subtact 1 from both sides

9x = 7

x = 7/9

Substituing x in the first equation

y = 14/9 + 1

x rounds to 0.8

y rounds to 2.5

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assume that the two prisms have bases of equal area.

Then the volume of the rectangular prism is V = (base area)(height).

The volume of the triangular prism is V = (1/3)(base area)(height)

We could compare the two volumes by creating the ratio inequality

  (1/3) (base area)(t-height)

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

      (base area)(r-height)

The triangular prism will have the greater volume for (1/3)((t-height) > r-height.

Answer:

58.43%

Step-by-step explanation:

The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:

The probability that they are equal is:

P (plain, plain) = (12/20) (11/19)

= 132/380

P (chocolate, chocolate) = (5/20) (4/19)

 = 20/380

P (currant, currant) = (3/20) (2/19)

= 6/380

The final probability would be the sum of these:

P (equal) = 132/380 + 20/380 + 6/380

P (equal) = 158/380

P (equal) = 0.4157

The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:

P (different) = 1 - 0.4157

P (different) = 0.5843

In other words, the probability would be 58.43%

Answer:

The correct option is;

(B) 30

Step-by-step explanation:

The equations are;

x² - 2·m·x - 5·n = 0.............(1)

Solution = p, q

x² - 2·p·x - 5·q = 0..............(2)

Solution = m, n

For equation (1), we have;

x² - 2·m·x - 5·n = 0 = (x - p)·(x - q)

x² - 2·m·x - 5·n = x² -x·p - x·q + q·p = x² -x·(p + q) + q·p

2·m = p + q..............(3)

5·n = -q·p..............(4)

Given the similarity between equation (1) and (2), we have;

2·p = m + n..............(5)

5·q = -m·n..............(6)

Therefore;

m = (p + q)/2

n = -q·p/5

Substituting the value of m and n in equation (5) and (6), we have;

2·p = (p + q)/2  - q·p/5.............(7)

5·q = (p + q)/2·q·p/5.............(8)

Making q the subject of equation (7) gives;

[tex]q = \dfrac{-7.5 \cdot p}{p -2.5}[/tex]

Substituting the value of q above in equation (8) gives;

[tex]-\dfrac{75\cdot p}{2\cdot p-5}=-\dfrac{3\cdot p^{4}-30\cdot p^{3}}{4\cdot p^{2}-20\cdot p+25}[/tex]

By cross multiplying and collecting like terms we have;

6·p⁵ -75·p⁴-150·p³+1500·p²-1875·p = 0

Which gives

(p+0)(p-1.91)(p-2.5)(p+5)(p-13.1)

p = 1.91 or 2.5 or -5 or 13.1

q = 24.27 or undef or -5 or -9.27

m = 13.09 or undef or -5 or 1.95

n = -9.27 or undef or -5 or -24.29

Therefore, p + q + m + n = 1.91 + 24.27 + 13.09 + (-9.27) = 30

The correct option is (B) 30

Answer:

a) SI = prt

SI = 500 x .03 x 1

SI = 15

b) Amount in her account after 1 year

500 + 15 = 515

Answer:

Step-by-step explanation:

85% of 2500 m

= 85/100 × 2500 = 2125 m

hope this helps

plz mark it as brainliest!!!!!!

Answer:

2125

Step-by-step explanation:

85% times 2500

Answer:

Option (3)

Step-by-step explanation:

Explicit formula of the sequence is,

[tex]a_n=3^n+4[/tex]

From this explicit formula,

First term of the sequence will be,

[tex]a_1=(3^1)+4[/tex]

[tex]a_1=7[/tex]

Second term of the sequence,

[tex]a_2=(3^2)+4[/tex]

[tex]a_2[/tex] = 13

3rd term of the sequence,

[tex]a_{3}=(3^3)+4[/tex]

   = 31

Sequence formed,

7, 13, 31 ..........

From the given options,

Recursive formula,

[tex]a_n=3a_{n-1}-8[/tex]

[tex]a_2=3(a_1)-8[/tex]

[tex]a_2=3(7)-8[/tex]

[tex]a_2=21-8[/tex] = 13

[tex]a_3=3a_2-8[/tex]

[tex]a_3=3a_2-8[/tex]

[tex]a_3=3(13)-8[/tex]

    = 39 - 8

    = 31

Sequence formed from this recursive formula will be,

7, 13, 31........

Therefore, Option (3) will be the answer.

Answer:

C

Step-by-step explanation:

i took the test

Answer:

The answer is; the snail moved 1 inch every 20 minutes.

Step-by-step explanation:

120 divided by 6 is 20

Answer:

A) 1 Over 20 of an inch per minute

Step-by-step explanation:

I took this test and got 100

Answer:

x = 2 sqrt(7)

Step-by-step explanation:

since the right triangles are similar

hyp       leg

------ = ---------

leg      part

(6+8)        x

--------- = ----------

x                 2

Using cross products

x^2 = (6+8) *2

x^2 = 28

Take the square root of each side

x = sqrt(28)

x = sqrt(4) sqrt(7)

x = 2 sqrt(7)

Answer:

x= 69420

Step-by-step explanation:

bc it can be

Answer:

the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)

Answer:

Solution

Selling price(SP)=$295000

profit percent=18%

Cost price(CP)=?

Now,

[tex]cp = \frac{sp \times 100}{100 + profit \: percent} \\ \: \: \: \: = \frac{295000 \times 100}{100 + 18} \\ = \frac{29500000}{118} \\ = 250000[/tex]

hope this helps...

Good luck on your assignment...

19

Step-by-step explanation:

The first term of the arithmetic sequence is  4x+3.

An ordered group of numbers with a shared difference between each successive term is known as an arithmetic sequence.

The formula to find the nth term of an arithmetic sequence is,

aₙ= a+(n-1)d

Where a is the 1st term and d is the common difference.

Let the first term of sequence is a and the common difference is d.

Given that,

The 5th term of the arithmetic sequence = 16x+11,

⇒ a+4d= 16x+11      (1)

And the 9th term of the arithmetic sequence = 28x+19,

⇒ a+8d= 28x+19    (2)

To find the first term of the sequence, multiply equation (1) with 2 and subtract equation (2) from it.

(2a+8d)-(a+8d) = (32x+22) - (28x+19)

a = 4x+3

The first term of the arithmetic sequence is  4x+3.

To know more about Arithmetic sequence on :

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Answer:

ŷ = -0.895X + 13.600

Slope = -0.9

Intercept = 13.6

r = - 0.964

Step-by-step explanation:

Given the data:

X- 10.1 9.8 9.7 9.4 8.9 8.7 8.4 8.1

Y- 4.3 4.8 5.3 5.2 5.6 5.8 6.1 6.3

Inputting the data given into the online regression calculator :

The equation of line of best fit :

ŷ = -0.895X + 13.600

Slope = - 0.9(to the nearest tenth)

Intercept = 13.6 (to the nearest tenth)

The correlation Coefficient 'r' of the data supplied is - 0.9643, which implies that a strong negative correlation exists between the dependent and independent variables.

r = - 0.964 (to the nearest thousandth)

Inputting the data into the STAT then Fit Data function of the HP 50g

Graphing Calculator.

The meaning of the strong negative correlation is that the x-values

of the data is decreasing, while the corresponding y-values of the data

increasing.

Reasons:

The least squares regression line equation is the best fit line for the data

The formula for the least squares regression line is [tex]\hat Y = b \cdot X + a[/tex]

Where;

[tex]b = \dfrac{n \cdot \sum X \cdot Y - \left (\sum X \right )\left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b \cdot \sum X}{n}[/tex]

n = The sample size

Inputting the given data into the function Fit Data on a graphing calculator,

by editing ∑DAT.

The left column, represent the x-values, and right column represent the y-

values as follows;

[tex]\begin{array}{|c|cc|} \mathbf{Column \ 1}&&\mathbf{Column \ 2}\\10.1&&4.3\\9.8&&4.8\\9.7&&5.3\\9.4&&5.2\\8.9&&5.6\\8.7&&5.8\\8.4&&6.1\\8.1&&6.3\end{array}\right][/tex]

After inputting the data as above, press enter.

Move the pointer to the Model options line, select choose to choose the

Linear Fit model by selecting OK.

Select OK again for the calculator to do the calculations.

The least squares regression line equation given by the calculator is

presented as follows;

y = 13.5998272884 - 0.894645941278·x

The slope and the y-intercept rounded to the nearest tenth gives;

Correlation coefficient:

The correlation coefficient is given from the data using the following

formula;

[tex]r = \dfrac{n \cdot \sum X \cdot Y - \left (\sum X \right ) \cdot \left (\sum Y \right )}{\sqrt{n \cdot \sum X^{2} - \left (\sum X \right )^{2}\times n \cdot \sum Y^{2} - \left (\sum Y \right )^{2}}}[/tex]

From the graphing calculator, we have the correlation coefficient, given as

follows;

Correlation: (-0.964276229529)

Therefore, to the nearest thousandth;

The high negative value of the correlation coefficient indicates a strong

and near perfect relationship between the variables, x, and y, such that we

have;

Learn more here:

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Answer:

<x = 36°

Step-by-step explanation:

In a regular decagon, Every interior angles is equal to 144.

So,

<x + 144 = 180 [Angles on a straight line]

<x = 180-144

<x = 36°

Answer:

3375/13

Step-by-step explanation:

it's found though this equation  [tex]\frac{84375/25}{325/25}[/tex]

Answer:

[tex]3375/13[/tex]

Step-by-step explanation:

[tex]84,375/325[/tex]

Divide the numerator and denominator by 25.

[tex]3375/13[/tex]

[tex]=259.615385[/tex]

Answer:

x= 4

[tex]perpendicular (p) = \sqrt{x} + 1[/tex]

[tex]base(b) = 2 \sqrt{x} [/tex]

[tex]hypotenuse(h) = 2 \sqrt{x} + 1[/tex]

According to the Pythagoras Theoram,

p²+b²= h²

[tex] {( \sqrt{x } + 1) }^{2} + {(2 \sqrt{x} )}^{2} = {(2 \sqrt{x} + 1)}^{2} [/tex]

Answer:

4

Step-by-step explanation:

2√x, √x + 1, 2√x + 1 sides of triangle

√x= y

2y, y+1, 2y+1

(2y)²+(y+1)²= (2y+1)²

4y²+y²+2y+1= 4y²+4y+1

y²-2y=0

y=0 (discarded as side can't be zero) or y= 2

so √x=2 ⇒ x= 4

Answer:

V = 200 pi units ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 pi ( 10 ^2) (6)

V = 1/3 pi (100) *6

V = 200 pi

Answer:

[tex]\frac{x+6}{x}[/tex]

Step-by-step explanation:

=> [tex]\frac{x^2+4x-12}{x^2-2x}[/tex]

=> [tex]\frac{x^2+6x-2x-12}{x(x-2)}[/tex]

=> [tex]\frac{x(x+6)-2(x+6)}{x(x-2)}[/tex]

=> [tex]\frac{(x-2)(x+6)}{x(x-2)}[/tex]

Cancelling (x-2)

=> [tex]\frac{x+6}{x}[/tex]

Answer:

Blueberry pie: $10

Blackberry pie: $12

Step-by-step explanation:

We can use system of equations for this problem. Let's use x for blueberry and y for blackberry.

Equation 1

8x+8y=176

This equation comes from how mush Heather sold.

Equation 2

8x+10y=200

This equation comes from how mush Kim sold.

We can use elimination method to find the value of y.

-2y=-24

y=12

Now, we know that a blackberry pie costs $12. We can plug this back into any of the equaitons above to find the price of a blueberry pie.

8x+10(12)=200

8x+120=200

8x=80

x=10

We know that a blueberry pie costs $10.

Answer:

3 nickels, and 13 quarters.

Step-by-step explanation:

0.05n+0.25q=3.40

n+q=16

q=16-n

0.05n+0.25(16-n)=3.40

0.05n+4-0.25n=3.40

-0.2n=-0.6

n=3

3+q=16

q=13