A picture frame measures 18 cm by 20 cm on the outside, and 168 cm?
of picture shows.
Find the width of the frame around the picture.
The width of the frame is
cm.

[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]

[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]

_____________________________________

[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]

____________________________

[tex]-5x+y-4x-y=-10-26[/tex]

_________________________________________________

[tex]-5x-4x=-10-26[/tex]

___________________________________________

[tex]-9x=-10-26[/tex]

______________________________________________

[tex]-9x=-36[/tex]

________________________________________________

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{-36}{-9}[/tex]

____________________________________________________

Determine the sign for multiplication or division

[tex]x=\frac{36}{9}[/tex]

_________________________________________

Cross out the common factor

[tex]x=4[/tex]

[tex]-4\times4-y=-26[/tex]

____________________________________________________

Calculate the product or quotient

[tex]-16-y=-26[/tex]

______________________________________________________

Rearrange variables to the left side of the equation

[tex]-y=-26+16[/tex]

_____________________________________________

Calculate the sum or difference

[tex]-y=-10[/tex]

_________________________________________-

Divide both sides of the equation by the coefficient of variable

[tex]y=10[/tex]

I hope this helps you

:)

Answer:

3

Step-by-step explanation:

substitute x = - 2 into the expression

3x² - 9

= 3(- 2)² - 9

= 3(4) - 9

= 12 - 9

= 3

Answer:

65 bought 3 or more items.

Step-by-step explanation:

See attached summary.  The total purchasing customers was 779 (0.82*950).  Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186).  Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items.  65 bought three or more items.

Answer:

mean: 8

medium:7

min: 4

max: 18

hope that helps

[tex]s = 5000(1.07) {}^{t} [/tex]

[tex]s = 5000(1.07) {}^{10} [/tex]

[tex]s = 5000(1.96715)[/tex]

[tex]s = 9835.756 \: dollars[/tex]

Answer:

B. All four sides are congruent

Step-by-step explanation:

Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

Hence, her expectation is given by:

E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.

More can be learned about discrete distributions at https://brainly.com/question/24855677

Answer:

P(F) = 0.26

Step-by-step explanation:

Given:

Using formula:   P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0.69 = 0.49 + P(F) - 0.06

⇒ 0.69 = 0.43 + P(F)

⇒ P(F) = 0.69 - 0.43

⇒ P(F) = 0.26

Answer:

B)1, 2, 3, 6, 9, 18

Step-by-step explanation:

1×18

2×9

3×6

HOPE IT HELPS YOU

Answer:

[tex]\dfrac{1}{102}[/tex]

Step-by-step explanation:

Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:

[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]

Given interval [tex]0\leq x\leq 8[/tex] :

when [tex]x=0[/tex]:

[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]

when [tex]x=8[/tex]:

[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]

Therefore, average rate of change:

[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

Answer:

answer is -4 and 4 ):(

Step-by-step explanation:

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{C=2\cdot 3.14 \cdot 14}\\\mathrm{C=6.28 \cdot 14}\\\\\boxed{\mathrm{C=87.92}}[/tex]

So, the circle's circumference is 87.92cm.

Hope this helps!

Answer:

Step-by-step explanation:

To solve this problem, you need to multiply the radius of a circle by the circumference formula.

Circumference formula:

[tex]\sf{C=2\pi r}[/tex]

[tex]\sf{C=2*\pi r}[/tex]

C=?

π= 3.14

r= 14

[tex]\sf{2*3.14*14}[/tex]

Solve.

[tex]\sf{2*3.14=6.28}[/tex]

[tex]\sf{6.28*14=\boxed{\sf{87.92}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

The complement of 29° is the angle that when added to 29° forms a right angle (90° ).

Step-by-step explanation:

Hope this helps you!

Answer:

1023 feet

Step-by-step explanation:

Answer:

0.78

Step-by-step explanation:

78 / 100

note that 100% = 1

Answer:

See below ↓

Step-by-step explanation:

We have a graph given to us.

⇒ Take the points to form an equation!

The points

Making an equation

Take two points

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]

Equation in point slope form

[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]

[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]

[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]

[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]

Answer:

Step-by-step explanation:

When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:

F - function (sine or cosine)

P - period

A - amplitude

R - reflections

H - horizontal/phase shift

M - midline

Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.

Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]

Hope this helps :)

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

Answer:

is f(2)=13 this is the answer because You have to división ir multiplicar ir

Answer:

f(2)=30

Step-by-step explanation:

Khan <3

Answer:

(2x+5)-3

Step-by-step explanation:

Answer:

the linear graph man

please why ask ezzy questions

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

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!

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300

Step-by-step explanation:

Hopefully this was helpful!

Answer:

cover an area of 404 area

Step-by-step explanation:

23*8+11*20=404(area)

Answer:

a. -2x^2 + 3x+5=y

b.-x^2 +5x-4=y

c.-x^2 +6x-12=y

Step-by-step explanation:

a.y=-2x^2 +bx+c

the points P and Q lie on curve

[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]

=> b=3, c=5

b. delta = b^2 +4c

x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4

=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8

x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1

=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]

suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a

=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]

=> a=-3

b=5

a=-3 =>  [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.

c.vertex (3;-3)

[tex]\frac{-b}{-2}[/tex]=3 => b =6

[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.

Hey there!

Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]

[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]

[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]

[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]

[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]

Hopes this helps