Patrick is five years younger than Ben. In two years Ben will be twice as old as Patrick. Calculate their ages

Step-by-step explanation:

find the egn of the line through (a.b)and perpendicular to the lime passing through (a.2b)and (b.2a)for a#b?

Hey there!

10w + 40 < 450

SUBTRACT 40 to BOTH SIDES

10w + 40 - 40 < 450 - 40

SIMPLIFY IT!

10w < 450 - 40

10w < 410

DIVIDE 10 to BOTH SIDES

10w/10 < 410/10

SIMPLIFY IT!

w < 410/10

w < 41

(Your graph is shown below)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

see explanation

Step-by-step explanation:

(a)

the centre of the circle is at the midpoint of the endpoints.

using the midpoint formula

centre = ( [tex]\frac{-10+4}{2}[/tex] , [tex]\frac{-2+6}{2}[/tex] ) = ([tex]\frac{-6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 3, 2 )

(b)

the radius r is the distance from the centre to either of the endpoints

using the distance formula to find r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = Q (4, 6 )

r = [tex]\sqrt{(4-(-3))^2+(6-2)^2}[/tex]

  = [tex]\sqrt{(4+3)^2+4^2}[/tex]

  = [tex]\sqrt{7^2+16}[/tex]

  = [tex]\sqrt{49+16}[/tex]

   = [tex]\sqrt{65}[/tex]

(c)

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius , then

(x - (- 3) )² + (y - 2)² = ([tex]\sqrt{65}[/tex] )² , that is

(x + 3)² + (y - 2)² = 65

Answer:

Step-by-step explanation:

a) Use midpoint formula to find the center.

[tex]\sf \boxed{Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

P(-10 ,-2) ⇒x₁ = -10  & y₁ = -2

Q(4,6) ⇒ x₂=4   & y₂ = 6

[tex]\sf midpoint = \left(\dfrac{-10+4}{2},\dfrac{-2+6}{2}\right)[/tex]

            [tex]=\left(\dfrac{-6}{2},\dfrac{4}{2}\right)\\\\=\left(-3,2\right)[/tex]

b) To find the radius, use the distance formula

[tex]\boxed{distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Q(4,6)  & O(-3,2)

[tex]r=\sqrt{(-3-4)^2+(2-6)^{2}}\\\\=\sqrt{(-7)^{2}+(-4)^2}\\\\=\sqrt{49+16}\\\\= \sqrt{65}[/tex]

radius = √65

c) Equation of circle : (x - h)² +(y -k)² = r²

Where (h,k) is the coordinates of the center and r is the radius

(x -[-3])² + (y - 2)²= (√65)²

(x + 3)² + (y -2)² = 65

Answer:

20 Students chose bananas.

Step-by-step explanation:

You can see that the bananas take up 25% or 1/4 of the chart. To find 1/4 of a number find half of the number twice. Half of 80 is 40 and half of 40 is 20. So, 20 students chose bananas.

Answer:

5040 ways

Step-by-step explanation:

There will be 13 chairs altogether.

Since there are 7 girls who cannot sit together, the pattern will be alternate.

→ G, B, G, B, G, B, G, B, G, B, G, B, G

Total Ways

Answer:

x = 3

Step-by-step explanation:

using the rule of exponents

[tex]4^{x}[/tex] = [tex](\frac{1}{2}) ^{x-9}[/tex]

[tex](2^2)^{x}[/tex] = [tex](2^{-1}) ^{x-9}[/tex]

[tex]2^{2x}[/tex] = [tex]2^{-1(x-9)}[/tex] = [tex]2^{9-x}[/tex]

suince the bases on both sides are equal, then equate the exponents

2x = 9 - x ( add x to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Answer:

im not really good at drawing but Can I ask a question can I help you with other questions?

Step-by-step explanation:

Answer:729

Step-by-step explanation: volume is base area × height

Base area = 9×9

Volume =9×9×9

Answer:

12.25cm2

Step-by-step explanation:

Area of a square= S ×S

3 1/2 × 3 1/2 = 3.5×3.5 = 12.25

Answer:

The sample of 15 pieces of colored fruit snacks

Step-by-step explanation:

The sample of 15 pieces of colored fruit snacks. The 60 pieces are from ONE day which means it can be heavily biased. It might be like "BLUE RASPBERRY SPECIAL DAY!" or "PRESIDENTS DAY!! RED BLUE AND WHITE!!". However, 15 pieces, whilst having less of a population, is probably more spaced out.

Answer: y≤−5

Step-by-step explanation:

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. Thus, The total cost of stock including the commission is $15917.

Stocks are types of security to shareholders that represent fractional ownership of equity in any organization.

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific at $26.76 per share.

We have a number of shares at $44.41 per share = 100

Number of shares at $19.08 per share = 600

Total number of shares = 700

Broker's charges per share = $0.04

Hence, The total cost of the stock including the commission

= Cost of stock + commission

= (100 × 44.41) + (600 × 19.08) + (700 × 0.04)

= 15,917

Thus, the total cost of stock including the commission is $15917.

Learn more about stocks here;

https://brainly.com/question/14649952

#SPJ1

Answer:

1(-1/3)^8

Answer: 1/6561

hope this is better

Answer:

C ≈ 11.71 cm

Step-by-step explanation:

using the ratio arc  AC : circumference C = angle at centre of sector : 360°

[tex]\frac{AC}{C}[/tex] = [tex]\frac{123}{360}[/tex] , that is

[tex]\frac{4}{C}[/tex] = [tex]\frac{123}{360}[/tex] ( cross- multiply )

123 × C = 4 × 360 = 1440 ( divide both sides by 123 )

C = [tex]\frac{1440}{123}[/tex] ≈ 11.71 cm ( to the nearest hundredth )

Table of values

4 0

5 1

6 2

7 3

Answer:

  (c)  6.00 M

Step-by-step explanation:

The given equation can be solved for the unknown concentration.

__

  [tex]m_iv_i=m_fv_f\\\\m_i(35.0\text{ ml})=(1.40\text{ M})(150.0\text{ ml})\\\\m_i=\dfrac{(1.40\text{ M})(150.0\text{ ml})}{35.0\text{ ml}}\\\\\boxed{m_i=6.00\text{ M}}[/tex]

The concentration of the stock solution is 6 M.

Answer: c- 6.00 m

Step-by-step explanation:

got it right on edge

Answer:

what graph?

Step-by-step explanation:

Step by step explanation :

Taking LCM in Left Hand Side

Now, By cross multiplying ,we get. ..

[tex]⇢5(x - 2) = 2(3 - x)[/tex]

[tex]⇢5x - 10 = 6 - 2x[/tex]

[tex]⇢5x + 2x = 6 + 10[/tex]

[tex]⇢7x = 16[/tex]

[tex]⇢ \boxed{ x = \frac{16}{7} }[/tex]

Answer:

x = 16/7

Step-by-step explanation:

Given

Solving

#1) Find the LCM.

#2) Multiply both sides by 10.

#3) Bring x terms to the left and numbers to the right.

Answer:

the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.

Step-by-step explanation:

Answer:

R.d. = 1/2 mile

Step-by-step explanation:

Facts of note

Solving

The fact that Maria has decided to still put in more effort to get no grade lower than C shows that c. she is able to set and evaluate her goals.

Maria was able to set goals on the grades that she would like to earn throughtout her high school.

She was also able to evaluate her progress when she saw that she hadn't reached her overall goal. This then led to her taking even more lessons.

In conclusion, option C is correct.

Find out more on setting goals at https://brainly.com/question/24231566.

The weight of Jennifer's shelf if 1kg is equivalent to  2.20462 pounds  is 7.44kg

Fractions are written as the ratio of two integers

Given the following

Amount of pounds that Jennifer buuilt = 16.40 pounds

If 1 kg = 2.20462 pounds

Calcualate the measure of shelf in kg
Weight = 16.40/2.20462

Weight = 7.44kg

Hene the weight of Jennifer's shelf if 1kg is equivalent to  2.20462 pounds  is 7.44kg

Learn more on ratio here: https://brainly.com/question/2328454

Answer:

$3

Step-by-step explanation:

If the soda was $4 and she spent a total of $28

then you do 28-4 to get the amount she spent on candy bars so 28-4 is 24 and divide 24 by 8 and you get 3

Answer: 19926

this is the answer

Answer:

70 if you walk directly across, 140 if you're running the bases

Step-by-step explanation:

So, if the distance between one is 70, than from home>first>second is 140 feet. Because it is a square, if you travel across the field from home directly to second, it is half that distance and only 70.

Answer:

now let's answer this question:

Step-by-step explanation:

1) False

the power 2 spoiled everything.

2) False

like therms aren't always polynomials.

3)False

it's doesn't always come out as diff. of two squares.

4)True

1x+3x =4x ( imagine 1 + 3 = 4 s) ( sum means "add up").

5)False

the O in FOIL means "outer" or "outside" (tip: FOIL means "First", "Outside", "Inside", "Last").

6) True

we can't add them together, they're "unlike terms".

7)True

"Z" is missing in the first term

8) False

they're were multiplied which means they become one term now.

9)Trueeee

having a negative symbol doesn't change nothing

10)False

it's will still take the power it came with which is "2"

e.g 3^2 x 4^2 = 12^2 ( not 12^1 ).

Hope it helps...

thanks

Step-by-step explanation:

a) 3×2×t=6t

b)500 years

Answer:

Figure D would be an 180 degree rotation of Figure A

Step-by-step explanation:

Figure B would have to be tilted to the right some more, and Figure C is all out of wack leaving Figure D

Answer:

Figure D

Step-by-step explanation:

From Figure A to B, it looks like a reflection (like a mirror) (over the y-axis)

From Figure A to C, it looks like a translation (5 units down) (x - 5, y)

From Figrue A to C, it looks like a rotation

Therefore, our final answer is Figure D

Hope this helps!

It would be C because that is the one that make the most sense

Answer:

30.51$

Step-by-step explanation:

15+12=27$

5% of 27$=1.35$

18% of 27=4.86

Do the math: 27+4.86-1.35=30.51

500+350.26+568.45+480.34+649.90 = $2548.95

hope it really helps...!!!