A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of the following steps can be used to eliminate the a term? −1(4a + 2b = 19) −4(4a + 2b = 19) −4(a + b = 6) 4(a + b = 6)

Answer:

Step-by-step explanation:

Given,

R = 8 m

H = 15 m

Slant height :

[tex] = \sqrt{ {r}^{2} + {h}^{2} } [/tex]

[tex] = \sqrt{ {(8)}^{2} + {(15)}^{2} } [/tex]

[tex] = \sqrt{64 + 225} [/tex]

[tex] = \sqrt{289} [/tex]

[tex] = \sqrt{ {(17)}^{2} } [/tex]

[tex] = 17 \: m[/tex]

Now, Finding the surface area of the cone:

[tex]\pi \: r(r + s)[/tex]

Plugging the values:

[tex] = \pi \: \times 8(8 + 17)[/tex]

[tex] = 8\pi \: \times 25[/tex]

[tex] = 200 \: \pi[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

You have 9 red marbles, 21 green marbles, and 31 blue marbles.

Step-by-step explanation:

Let r equal the number of red marbles

Let b equal the number of blue marbles

Let g equal the number of green marbles.

"I have 5 less blue marbles than 4 times the red marbles."

4r-5=b

"I have 3 more green marbles than 2 times the number of red marbles."

2r+3=g

" All together I have 61 marbles."

r+b+g=61

Substitute the b and g for 4r-5 and 2r+3

r+(4r-5)+(2r+3)=61

5r-5+2r+3=61

5r+2r-5+3=61

7r-2=61

7r=63

r=9

2r+3=g

2(9)+3=g

21=g

4r-5=b

4(9)-5=b

36-5=b

b=31

You have 9 red marbles, 21 green marbles, and 31 blue marbles.

Let me know if this helps :)

Answer:

There are 9 red, 21 greens and 31 blues

Step-by-step explanation:

Set up equations

Let

R=# red

G=# green

B=# blue

I have 5 less blue marbles than 4 times the red marbles.

B=4R-5 .............(1)

I have 3 more green marbles than 2 times the number of red marbles.

G=2R+3..............(2)

All together I have 61 marbles.

R+G+B=61 ..................(3)

Solution:

substitute (1) & (2) in (3)

R + 2R+3 + 4R-5 = 61

Simplify

7R = 61+2 = 63

R = 63/7 = 9 ..........(4)

Substitute (4) in (1)

B = 4R-5 = 4(9) - 5 = 36-5 = 31

Substitute (4) in (2)

G = 2R+3 = 2(9) + 3 = 18+3 = 21

The range of the curve is from -6 to 10, i.e. -6 ≤ y ≤ 10.

Given is a graph of a curve having endpoints at (-10, -6) and (0, 10), we need to find its range.

To find the range of a curve, we need to determine the set of all possible y-values that the curve can attain.

In this case, we have the endpoints of the curve as (-10, -6) and (0, 10).

The range of the curve is the set of all possible y-values. To find it, we need to identify the minimum and maximum y-values.

The minimum y-value can be found at the lowest point of the curve. From the given endpoints, we can see that the lowest point lies at (-10, -6).

The maximum y-value can be found at the highest point of the curve. From the given endpoints, we can see that the highest point lies at (0, 10).

Therefore, the range of the curve is from -6 to 10, inclusive: [-6, 10].

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Answer:

t

Step-by-step explanation:

The letter that comes next in the given sequence is K.

The given sequence is F H K N Z.

We need to find which letter comes next in the given sequence.

The pattern followed by the given sequence is they are letters of sounding board consonants.

Therefore, the letter that comes next in the given sequence is K.

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Answer:

The answer is 19

Step-by-step explanation:

I am not good at explainig at all and im not sure how to explain but I had this question

Cecilia is 19 m behind the Arman.

Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.

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

Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.

As arman crossed finish line Cecilia is at  = 90% of run covered by babken, 
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19

Thus, Cecilia is 19 m behind the Arman.

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Hey there! :)

Answer:

21 minutes.

Step-by-step explanation:

Begin by calculating the number of 12 hour periods in a week.

Each day contains two 12 hour periods. (24 hours/12 = 2)

There are 7 days in a week, therefore:

2 × 7 = 14 times the watch will lose minutes.

Multiply to find the total number of minutes lost:

14 × 1.5 = 21 minutes.

Answer:

21 minutes

Step-by-step explanation:

There are 24 hours in one day, and 7 days per week.  Thus there are

(24)(7), or 168, hours in one week, or 14 - 12-hour periods.

Thus, we multiply 14 - 12-hr periods to answer this question:

1.5 minutes / 14 - 12-hour periods)= 21 minutes will be lost in one week.

Answer:

money invested at 3% is $4000

Step-by-step explanation:

let the money invested in 3% account be x

then money invested in 5% account = 6000 - x

we know interest = p*r*t/100

p is the principle amount invested

here t = 1 year

interest on 3% money

interest= x*3*1/100 = 3x/100

interest on 5% money

interest= (6000-x)*5*1/100

Total interest earned on both the account

3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100

given that total interest earned = $220

thus

( 30000-2x)/100 = 220

=> 30000-2x = 220*100= 22,000

=> -2x = 22,000- 30,000

=> x = -8000/-2 = 4000

Thus, money invested at 3% = x = $4000

Answer:)

$4000

Step-by-step explanation:

The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.

The angles subtended by a circle is 360°, then;

The equation is found as;

[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]

The sum of angle of the two right angle is 180°;

x°+40°+50°=180°

x=90°

y+50°+40°=180°

Y=90°

Hence, the value of y will be 90°.

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Answer:170

Step-by-step explanation:

122+24+24=170

Answer:  

1.) The sum of 12 and x   12 + x   or   x + 12

2.) The product of 25 and p     25 × p    or  25p

3.) 24 increased by twice a number z    24 + 2z     or  2z + 24

4.) The quotient of a number x and 4   x ÷ 4 .  or   x/4

5.) 6 less than a number x     x - 6

6.) One-half of n squared       n² ÷ 2     or    n²/2    

Step-by-step explanation:  In most cases, the first expression uses symbols that are commonly used in arithmetic or elementary math.  As you advance into Algebra, the ÷ and × are rarely used in favor of  /  or fraction form like   [tex]\frac{x}{4}[/tex] and  [tex]\frac{x^{2} }{2}[/tex]  for division.  Parentheses replace × for multiplication, for example  (25)(p)=25p   to avoid confusion with x, commonly used as an unknown or variable.

Answer:

.33 as a decimal or 33%

Step-by-step explanation:

Divide 1/3 and get .33 as your decimal. To convert to a percentage multiply your decimal by 100. (.33 x 100 = 33 )

Answer:

69

Step-by-step explanation:

Answer:

I'd think the first one would be correct. To determine whether or not athletes have an increase in vertical leap when wearing the shoes.

I'm not totally sure but this answer just seems the most correct. It would prove if the manufacturers clam is valid. You would have to other brand and models of shoes. You would also have to test the same kind of shoes ie, gym shoe vrs gym shoe instead of gym shoe vrs flip flop.

You would also have to use the different shoe on the same test group of users/athletes to keep a constant.

Hope I help.

Step-by-step explanation:

Given.

[tex]3x+5y=3[/tex]

[tex]x+2y=0[/tex]

Take the second equation and subtract 2y to both sides.

[tex](x+2y)-2y=0-2y[/tex]

[tex]x=-2y[/tex]

Substitute x into the first equation and simplify.

[tex]3x+5y=3[/tex]

[tex]3(-2y)+5y=3[/tex]

[tex]-6y+5y=3[/tex]

[tex]-y=3[/tex]

Invert.

[tex]y=-3[/tex]

Substitute Y into your second equation.

[tex]x+2y=0[/tex]

[tex]x+2(-3)=0[/tex]

[tex]x-6=0[/tex]

Add -6 to both sides.

[tex](x-6)+6=0+6[/tex]

[tex]x=6[/tex]

Answer:

(6, -3)

Answer:

(6,-3)

Step-by-step explanation:

Got it right on the test

Hope this helps :)

Answer:

The area of a triangle is base * height / 2. In this case that is:

3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²

Answer:

3x-6 inches^2

Step-by-step explanation:

[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]

Answer:

5^5

Step-by-step explanation:

Answer:

y = 3/4x + 17/4

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 2)/(1 + 3)

m = 3/4

y = 3/4x + b

Step 2: Find b

5 = 3/4(1) + b

5 = 3/4 + b

b = 17/4

Step 3: Rewrite equation

y = 3/4x + 17/4

Answer:

y = 3/4x + 17/9

Step-by-step explanation:

Find the slope:

5 - 2/ 1 - (- 3)

3/ 1 + 4

3/4

Find the y-intercept:

2 = 3/4(-3) + b

2 = -9/4 + b

17/4 = b

Put it in an equation:

y = 3/4x + 17/9

Answer:

1 hour and 6 minutes

Step-by-step explanation:

The next proportion must be satisfied:

18 °F / 28 °F = 2 hours / x hours

x = 2*28/18

x = 3.1 hours in total

Given that she has already waited 2 hours, she must wait 3.1 - 2 = 1.1 extra hours. 1 hour is equivalent to 60 minutes, then 0.1 hours is equivalent to 0.1*60 = 6 minutes.

Answer:

The cross-section of the rectangular prism is a:

Step-by-step explanation:

When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.

Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

Answer:

-9ab3a3b-52

Step-by-step explanation:

-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2

-8a3b-6a-52+5a2b3a3b

-14a3b-52+5a2b3a3b

-9ab3a3b-52

Answer:

The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water

Step-by-step explanation:

Tempeture = depth x

It will be a negative.

for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11

-2(2) + 1 = -3

but that's only 8 apart, so it'd be higher.

-4(2) + 1 = -7

-4(8) + 5 = -27

BOOM

Tadaaaa,

You probably thought positive, but sometimes it's negative, you know what I mean?

Answer:

n^2/(n + 5)

Step-by-step explanation:

The numerators are 1^2, 2^2, 3^2, 4^2, etc.

The denominators are 6, 7, 8, 9, etc.

The nth numerator is n^2.

The nth denominator is n + 5.

Answer: n^2/(n + 5)

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

Answer:

y = -4

Step-by-step explanation:

x = 3 is a vertical line.

The perpendicular line passes through (0, -4) (x, y)

y = -4

The line is perpendicular, so the line should be also horizontal.

Answer:

y = -4

Step-by-step explanation:

The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).  

Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.

The linear function can be found by using the point-slope formula:

[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:

[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]

[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

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