5. Solve the system of equations.
x + y = 6
2x - y = 9

Step-by-step explanation:

2x+8=2x+5

2x-2x=15-8

0x=7

Answer:

C

Step-by-step explanation:

We want to write the equation of a line that is parallel to:

[tex]y=\frac{3}{5}x+8[/tex]

And also passes through (-10, 4).

Remember that parallel lines have the same slope.

The slope of our old line is 3/5.

Therefore, the slope of our new line is also 3/5.

We know that it passes through (-10, 4). So, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute 3/5 for m and let (-10, 4) be our (x₁, y₁). This yields:

[tex]y-(4)=\frac{3}{5}(x-(-10))[/tex]

Simplify:

[tex]y-(4)=\frac{3}{5}(x+10)[/tex]

Distribute on the right:

[tex]y-4=\frac{3}{5}x+6[/tex]

Add 4 to both sides:

[tex]y=\frac{3}{5}x+10[/tex]

So, our answer is C.

And we're done!

Step-by-step explanation:

Hey there!

The equation of a st.line passing through point (-10,4) is ;

(y-y1)= m1(x-x1) [one point formula]

Put all values.

(y - 4) = m1( x + 10)..........(i)

Another equation is; y = 3/5 + 8.............(ii)

From equation (ii)

Slope (m2) = 3/5 [ By comparing equation with y = mx+c].

As per the condition of parallel lines,

Slope of equation (i) = slope of equation (ii)

(i.e m1 = m2 )

Therefore, the value of m1 is 3/5.

Putting value of slope in equation (i).

[tex](y - 4) = \frac{3}{5} (x + 10)[/tex]

[tex](y - 4) = \frac{3}{5} x + \frac{3}{5} \times 10[/tex]

[tex](y - 4) = \frac{3}{5} x + 6[/tex]

[tex]y = \frac{3}{5} x + 10[/tex]

Therefore the required equation is y = 3/5x + 10.

Hope it helps...

Answer:

Question 1: 131.25 Question 2: 83.33 Question 3. 133.33

Step-by-step explanation:

1. 131.25% x 150

2. Trial and error

3. 60 ÷ 45%

Answer:

7/8

Step-by-step explanation:

Answer:

1/4 x 7/2

First, let's convert each fraction into percentages.

1/4= 25%

7/2= 350%

Now just multiply them together.

25x350= 8750

Convert it back into a fraction.

8750% = 175/2 = 871/2 as a fraction.

Hope this helps!

Answer:

d=-2 is the difference

Answer:

Its the third one 8, 16, 24, 32, 40, 48

Step-by-step explanation:

They all are multiples of 8 and are not more than 50

Answer:

25

Step-by-step explanation:

Answer:4.75y

Step-by-step explanation:

Answer:

t=x+3

y = (x+3)^2 + 5

y = x^2+6x + 9 + 5

y= x^2 + 6x + 14

Answer:

5 times x-3?

Step-by-step explanation:

Sorry if its wrong i didn't really understand what you wanted.

She has completed 80%

Answer:

5÷100

=0.05

0.05×60

=3

Answer:

1200 readers

Step-by-step explanation:

Let x = number of readers

x* 5% = 60

Change to decimal form

x* .05 = 60

Divide each side by .05

x * .05/.05 = 60/.05

x =1200

Answer: 300ft

Step-by-step explanation:

Answer:

the y-coordinate of the spaceship

Step-by-step explanation:

It's what it said on edge

Answer

b

Step-by-step explanation:

Answer:

38.04

Step-by-step explanation:

6200/163= 38.036809816

Since after the 3 is a 6 which is over 5 you can round the 3 up to a 4 and cut everything else off.

Hope this helps. Plz give brainliest.

6200 divided by 163 is equal to 38 with a remainder of 6.

We have,

The concept used to divide 6200 by 163 is a long division.

Long division is a method of dividing two numbers by repeatedly subtracting multiples of the divisor from the dividend until the remainder becomes smaller than the divisor.

It involves dividing digit by digit, starting from the leftmost digits of the dividend and moving towards the right.

Now,

To divide 6200 by 163, we perform a long division.

Here's how it works:

       38

  __________

163| 6200

      4890

      ______

      1310

      1304

      ______

         6

The quotient is 38, and the remainder is 6.

Therefore,

6200 divided by 163 is equal to 38 with a remainder of 6.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

Answer:

55

Step-by-step explanation:

This is the equation of a parabola. To make things simpler, we can replace [tex]h[/tex] with [tex]y[/tex] and [tex]t[/tex] with [tex]x[/tex]. Therefore, [tex]y=-5x^2+30x+10[/tex]. Because the coefficient of the [tex]x^2[/tex] term is negative, we know the parabola points down, and the maximum height is the vertex. The x coordinate of the vertex of a parabola can be found with the equation [tex]-\frac{b}{2a}[/tex], or [tex]-\frac{30}{-10} = 3[/tex]. Plugging in [tex]3[/tex] into the equation gives us [tex]y = -5(3)^2+30(3)+10 = \boxed{55}[/tex]

Answer:

58

Step-by-step explanation:

All three angles of a triangle have to add up to 180. Given this we can do the following problem:

180-34-88 = 58

Answer:

3 : 2.

Step-by-step explanation:

18 : 12     Divide both values by 6:

= 3 : 2.

Answer:

Step-by-step explanation:1.5

Step-by-step explanation:

If u are looking for factorization this is the way

(x-y)(x-y+1)² -2(x-y)(x-y+1)+(x-y)=

(x-y)[(x-y+1)^2-2(x-y+1)+1]=

(x-y)[(x-y+1)^2-2(x-y+1)+1^2]=

(x-y)[(x-y+1)-1]^2=(x-y)(x-y+1-1)^2

(x-y)(x-y)^2=

(x-y)^3

Answer:77%

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because if you multiply 38/49, it would be 76/98. and 76 is a letter c, but if i am wrong its b.

Answer:

6.25 gallons

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

Answer:

g(6) = 31

Step-by-step explanation:

If g(x) = x^2 - 5, that means to solve for g(6) you just have to replace the x in the equation with 6.

g(6) = 6^2 - 5

g(6) = 36 - 5

g(6) = 31

Answer:

It is 60%

Step-by-step explanation:

84.50 x 0.60% = 50.7 (also 50.70)

I hope my answer helps even though I am in middle school :)

The required percent decrease in the price of the skateboard is 40%.

The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Original price = $84.50
sale price = $50.70
Percent decrese = 84.50-50.70/84.50 × 100 = 40%

Thus, the required percent decrease in the price of the skateboard is 40%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

Answer:

The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Step-by-step explanation:

The net change in 7 students' scores on the exam after completing the course are:

S = {37 ,12 ,12 ,17 ,13 ,32 ,23}

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]

As the population standard deviation is not known, a t-interval will be formed.

Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]

*Use a t-table.

Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]

     [tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]

Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Answer:

92

Step-by-step explanation:

44 plus 48 can be rewritten as:

4(11 + 12), which, in turn, simplifies to:

4(23), or 92

Next time, please include all of the instructions.  Thank you.

Step-by-step explanation:

i mean I never did that in six grade