please check picture!!!!!
thank you

Answer:

Subtract 24 from both sides.

Step-by-step explanation:

x2+8x=24

Step 1: Subtract 24 from both sides.

x2+8x−24=24−24

x2+8x−24=0

For this equation: a=1, b=8, c=-24

1x2+8x+−24=0

Step 2: Use quadratic formula with a=1, b=8, c=-24.

x=

−b±√b2−4ac

2a

x=

−(8)±√(8)2−4(1)(−24)

2(1)

x=

−8±√160

2

x=−4+2√10 or x=−4−2√10

Answer:

x=−4+2√10 or x=−4−2√10

Answer:

+ 16

Step-by-step explanation:

x² + 8x = 24

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 24 + 16

Answer:

265

Step-by-step explanation:

because she had 500 and now she has 765 so he gave her 265

Answer:

265

Step-by-step explanation:

Because before her Uncle visited she had 500 cents and he gave her a total of ? cents she now has 765.

Meaning what = 765 when you add it to 500.

500 + ?=765. we know 500 + 200=700 but she has 65 more than 700 so s you add that to our answer we get 765.

 5 0 0

 2 6 5

+______

   7    6  5=765

Hope it helps have a great day:)

Step-by-step explanation:

please mark me as brainlest

Answer:

800g gives a better value for money

Step-by-step explanation:

To find which box which gives you better value for money

Divide the gram by the cost of the cereal

1st calculations

--› 500g ÷ $2.5

=> 200

2nd calculations

--› 800g ÷ $3.95

=> 202.5316455696202

so the question that the value is bigger which is 800g= 202.5316455696202 gives you more money value

Work Shown:

[tex]\sqrt{a} + \sqrt{b} = x\\\\\sqrt{36} + \sqrt{25} = x\\\\6+5 = x\\\\11 = x\\\\x = 11[/tex]

The required value in (36,25,x) is an O'Hara triple, of x is 11.

Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple,  To determine the value of x.

In mathematics, it deals with numbers of operations according to the statements.

From example,
(1,4,3) is an O'Hara triple because √1+√4=3, in the example sum of the square roots of the first two numbers is equal to the third number. so the value of x in  (36,25,x)  can be determined in the same manner.

Following the example,
√36+√25=x
6 + 5 = x
x = 11

Thus, the required value in (36,25,x) is an O'Hara triple, of x is 11.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

x=16

Step-by-step explanation:

(2x-4)+(x+5)+(3x+3)=100

6x+4=100

6x=96

x=16

Step-by-step explanation:

we don't know what level it was originally at so well use a variable for the unknown number. If you take 6 inches and do that 6 times for each month you will have 36 inches lost so w= water i = inches

w-(6i x 6) = 36

This isn't the best explanation but I hope this helps you

Answer:

[tex]\displaystyle [7x - 2][3x + 7][/tex]

Step-by-step explanation:

Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the minus symbol because the B-value is 43, therefore 49 gets the plus symbol, leaving 6 with the minus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:

[tex]\displaystyle 21x^2 + 43x - 14 \\ \\ [21x^2 - 6x] + [49x - 14] \\ 3x[7x - 2] + 7[7x - 2] \\ \\ \boxed{[7x - 2][3x + 7]}[/tex]

I am joyous to assist you at any time.

[tex]\\ \rm\rightarrowtail 21x^2+43x-14[/tex]

[tex]\\ \rm\rightarrowtail 21x^2+49x-6x-14[/tex]

[tex]\\ \rm\rightarrowtail 7x(3x+7)-2(3x+7)[/tex]

[tex]\\ \rm\rightarrowtail (7x-2)(3x+7)[/tex]

Done!

Answer: 13x^2 - 15x + 12

Step-by-step explanation:

[tex]\left(3x^2-10x+4\right)+\left(10x^2-5x+8\right)[/tex]

[tex]=3x^2-10x+4+10x^2-5x+8[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=3x^2+10x^2-10x-5x+4+8[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:4+8=12[/tex]

[tex]=3x^2+10x^2-10x-5x+12[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:3x^2+10x^2=13x^2[/tex]

[tex]=13x^2-10x-5x+12[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:-10x-5x=-15x[/tex]

[tex]=13x^2-15x+12[/tex]

Answer:

The probability of selecting a red card is 3/26.

Answer:

I think A. I got (2,0) and (-0.5,0). Weird.

Step-by-step explanation:

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions.

Answer: Is there any answers to choose from

Answer:

-7y - 8x

the person who answered the question before me is buggin

Answer:

-189

Step-by-step explanation:

Isolate the r/9 (so subtract the 8 and add it to the other side). Then multiply the 9 out and you should get -189

Work:

-13=r/9 +8

-21=r/9

-189=r

Answer:

-189

Step-by-step explanation:

Khan academy

The probability  that the dart lands inside the square but not on the circular dartboard is 0.215

The chances of the happening of any event are called the probability.

The dartboard is in the form of a square and the circle is inscribed in it

The area of the dartboard is  [tex]a_d=54\ inch^2[/tex]

Since the circle is inscribed on the dashboard so the diameter of the circle will be the length of the square  

[tex]a_d=s^2=64[/tex]

[tex]s=\sqrt{64}=8\ inch[/tex]

Thus the diameter of the circle

[tex]d=8\ \ \ r= \dfrac{8}{2} =4 \ inches[/tex]

Now we will calculate the area of the circle

[tex]a_c=\pi r^2[/tex]

[tex]a_c=\ 3.14\times 4^2=50.24\ inch^2[/tex]

The area of the square outside the circle will be the difference of the area of the square and the area of the circle

[tex]64-50.24=13.76\ inch^2[/tex]

Now to find out the probability of the dart hitting outside the circle will be calculated as.

[tex]\rm Probability = \dfrac{Area \ outside \ circle }{Area \ of \ square}[/tex]

[tex]P= \dfrac{13.76}{64} =0.215[/tex]

Thus the probability  that the dart lands inside the square but not on the circular dartboard is 0.215

To know more about probability follow

https://brainly.com/question/24756209

Answer:

22%

Step-by-step explanation:

Answer:

She answers 3 questions per minute!!

Step-by-step explanation:

I know this because 3x10 = 30 and if she solves 30 questions in 10 minutes,  that means in 1 minute she solves 3 questions.

Answer:

James has a piece of construction paper with an area of 6514inches. It is 293inches long. What is the width of the piece of construction paper in inches?

Step-by-step explanation:

fist cdsddghjjhgfghjkl;'

Take 2 points

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{4000-5000}{2}=-500[/tex]

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-5000=-500(x)[/tex]

[tex]\\ \rm\Rrightarrow y=-500x+5000[/tex]

Answer:

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Step-by-step explanation:

Let be [tex]f(t)[/tex] the distance rolled by the truck in time, measured in feet, whose expression is:

[tex]f(t) = 0.5\cdot t^{2}[/tex]

Where [tex]t[/tex] is the time, measured in seconds.

By evaluating this function at [tex]t = 9\,s[/tex], we find the distance rolled by the truck:

[tex]f(9\,s) = 0.5\cdot (9\,s)^{2}[/tex]

[tex]f(9\,s) = 40.5\,ft[/tex]

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Answer:

Part A -- 29 plants

Part B -- 90.75$

Step-by-step explanation:

79.75 / 2.75 = 29

4 x 2.75 = 11

79.75 + 11 = 90.75

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

[tex]h = 5.73[/tex]

Step-by-step explanation:

Formula: [tex]V = \pi r^{2} h[/tex]

[tex]2178 = \pi (11)^{2} h[/tex]

[tex]2178 = 121\pi h[/tex]

[tex]2178 = 121 (3.14) h[/tex]

[tex]2178 = 379.94h[/tex]

[tex]h = 5.73[/tex]

Answer:

x

=

161

Step-by-step explanation:

Multiply both sides of the equation by

7

.

7

⋅

(

x

−

119

)

÷

7

=

7

⋅

6

Simplify both sides of the equation.

Tap for more steps...

x

−

119

=

42

Move all terms not containing

x

to the right side of the equation.

Answer:

161

Step-by-step explanation:

Step 1:

( x - 119 ) ÷ 7 = 6        Equation

Step 2:

( x - 119 ) = 42      Multiply 7 on both sides

Step 3:

x = 42 + 119      Add 119 on both sides

Answer:

x = 161        Add

Hope This Helps :)

Answer:

[tex]\huge\colorbox{navy}{Answer}[/tex]

[tex]lcm\: of \:7 \:and \:21 = 21 \: \: \: [/tex]

Answer:

21 is the l.c.m of 7 and 21

explanation:

[tex]\sf \bold \mathrm{The\:LCM\:of\:}a,\:b\mathrm{\:is\:the\:smallest\:positive\:number\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]

7 :  7

21 : 3 * 7

.

multiply, 7 * 3 = 21 - which is divisible by both 21 and 7

The situation involves combination

There are 45 possibilities of choosing the 3 side dishes from the menu

The given parameters are

The keyword choose means that the situation involves combination.

Given that you want at least one vegetable and one starch, the selections are:

(Vegetable, Starch) = (1,2) and (2,1)

So, the number (n) of ways the dishes can be selected is:

n = 5C1 * 3C2 + 5C2 * 3C1

Apply the combination formula on each expression

n = 5 * 3 + 10 * 3

Evaluate the sum

n = 45

Hence, there are 45 possibilities of choosing the 3 side dishes from the menu

Read more about combination at:

https://brainly.com/question/11732255

Answer:4931520 yd

Step-by-step explanation:2,

802x1760=4931520yds

Answer:

210/3+3/3

Step-by-step explanation:

210/3=70+3=73/3=71
213/3=71

Answer:

-11.5 < -9.5

Step-by-step explanation:

If it's asking foto compare greater or less than, -9.5 is greater than -11.5

Hey there!

Here we are asked to compare the following decimals:

-11.5 and -9.5

how do we compare numbers?

Well, there are 3 symbols that we use:

< (less than)

> (greater than)

= (equal to)

is 11.5 equal to -9.5? nope!

Is -11.5 greater than -9.5?  

No, because the decimals are negative.

Is -11.5 less than -9.5?

Yes.

Hence, the correct symbol is

[tex]\boxed{\boxed{\bold{-11.5 < -9.5}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

:-)

Check the picture below.

so the area that is not shaded has a total of 90° + 26° = 116°.

a circle has a total of 360°, so the area that is shaded must be 360° - 116° =  244°, and it has a radius of 25.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}[/tex]

Answer:

1330.81

Step-by-step explanation:

I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!

Answer:

[tex]y-2 = -3(x-2)[/tex]

Step-by-step explanation:

Find the diagram to the question attached.

The standard equation of a line in point-slope form is expressed as:

[tex]y-y_0 = m(x-x_0)[/tex] where:

m is the slope of the line

[tex](x_0, y_0)[/tex] is coordinate point on the line

First is to get the slope of the line.

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

If after buying 2 lattes, she has $2 left, hence one of the coordinate of the line is (2, 2). We can get the other coordinates from the graph. From the graph, it can be seen that when x = 0, y = 8. Hence the other coordinates is (0, 8)

[tex]m = \frac{8-2}{0-2}\\m = \frac{6}{-2}\\m = -3[/tex]

Hence the slope is -3

Substitute m = -3 and the point (2, 2) into the formula to get the required equation (note that any of the points can be used)

[tex]y-y_0 = m(x-x_0)\\y-2 = -3(x-2)[/tex]

Hence the equation of the line in point-slope form is [tex]y-2 = -3(x-2)[/tex]