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The ages of three brothers are consecutive integers. The sum of their ages is 24. Let b represent the youngest brother.
Write an expression to represent the second oldest brother.

Write an expression to represent the oldest brother.

Write an equation to represent the sum of all three brothers.

Answer:

-1 < x ≤ 3

Step-by-step explanation:

First, we need to simplify this inequality.

9 > -5x + 4 ≥ -11 (Given)

5 > -5x ≥ -15 (Subtract 4 on both sides)

-1 < x ≤ 3 (Divide -5 on both sides)

Note that the signs flip due to dividing by a negative number.

Answer:

[tex]-1<x\leq3[/tex]

Step-by-step explanation:

Let's take two equations from this and them put them back together! So:

9>-5x+4

and

[tex]-5x+4\geq -11[/tex]

For the first one:

9>-5x+4

Subtract 4 from both sides

5>-5x

Then divide by -5 (Remember to change the direction of the sign!):

-1<x

Now onto the second one:

[tex]-5x+4\geq -11[/tex]

Subtract 4 from both sides:a

[tex]-5x\geq -15[/tex]

Then divide by -5 (Remember to change the direction of the sign!):

[tex]x\leq 3[/tex]

Now add the equations back together:

[tex]-1<x\leq3[/tex]

Answer:

A)

Side DF=3

Side EF=6/5

Bye

The values of DF and EF are 3 and 6/5 respectively. (option A)

When two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Given that, Δ ABC ~ Δ DEF

The proportion = AB/DE = BC/EF = AC/DF = 5/3

2/EF = 5/3

EF = 6/5

5/DF = 5/3

DF = 3

Hence, The values of DF and EF are 3 and 6/5 respectively. (option A)

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Answer:

Option C

Step-by-step explanation:

[tex]3\frac{1}{5} \times 2\frac{1}{5}[/tex]

Lets convert it into improper fraction.

[tex]\frac{16}{5} \times \frac{11}{5} = \frac{16 \times 11}{5 \times 5} = \frac{176}{25}[/tex]

Lets convert [tex]\frac{176}{25}[/tex] into a mixed fraction.

[tex]=> \frac{176}{25} = 7\frac{1}{25} = 7.04[/tex]

Rounding off 7.04 gives 7 and rounding 7 further gives 10.

So , the estimate of the product is 10

It is the time it takes Amy to hike to the waterfall.

The term [tex]\frac{6}{x}[/tex]  describes the time it takes Amy to hike to the waterfall.

The correct answer is an option (C)

"It is defined as the distance traveled per unit times."

"It defines a relation between input values and output values."

For given example,

Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back.

we have been given a function [tex]T(x)=\frac{6}{x}+\frac{6}{x+1}[/tex]

This function represents Amy's total time spent hiking,

and x represents Amy's hiking speed in miles/hour.

Let 't' be the time required to reach Amy from ranger hills to a waterfall.

As 'x' represents Amy's hiking speed in miles/hour and Amy hikes 6 miles from a ranger station to a waterfall.

Using the formula of speed,

⇒ x = 6/t

⇒ t = 6/x

Therefore, the term [tex]\frac{6}{x}[/tex]  describes the time it takes Amy to hike to the waterfall.

The correct answer is an option (C)

Learn more about the speed here:

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Answer:

Its 0

Step-by-step explanation:ur not smart if u dont know that

Answer:

5

Step-by-step explanation:

20/5=4

45/5=9

cant simplify farther

Answer:

the answer is 5.

Step-by-step explanation:

Factors for 20: 1, 2, 4, 5, 10, and 20.

Factors for 45: 1, 3, 5, 9, 15, and 45.

Same numbers is 5.

the answer is 5.

Answer:

cant see from the light retake the photo

Step-by-step explanation:

We learnt this way in Turkey.

Answer:

50

Step-by-step explanation:

p/5=10

Your main goal is to isolate p

p/5 = 10, in order to eliminate the 5, multiply 5 on both sides, since it's the inverse of division.

(5)p/5 = 10(5)

p=50

Answer:

قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *

Answer:

A

Step-by-step explanation:

If 7 out of 9 voted to plant, that means 2 voted against

so the ratio we are looking at here for vote for and vote against is 7:2

So let the total that voted be x

7/9 * x = 119

x = (9 * 119)/7

x = 153

Answer:

b

Step-by-step explanation:

becuse

Answer:

top right

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

4(3x+6)

Substitute the x with 15

4(3*15+6)

4( 45 + 6)

Distributive property

4*45 + 4*6

180 + 24

204

Hey there!

The answer to your question is [tex]204[/tex]

To evaluate this, we simply start by plugging the given x value, 15, into the expression, and then solve:

[tex]4[3(15) + 6][/tex]      Plug in X

[tex]4(45 + 6)[/tex]          Multiply

[tex]180 + 24[/tex]           Distribute the 4

[tex]204[/tex]                   Add

Hope it helps and have a great day!

BbbbbbbbbbbbbbbbbbbbBBBBbbbBbbbBbbbBbb

Answer:

≈ 77 cm²

Step-by-step explanation:

The area of the shaded portion is calculated as

area of outer sector - area of inner sector

= (πR² - π r²) × [tex]\frac{60}{360}[/tex] ( R is the outer radius, r is the inner radius )

= (π × 14² - π × 7² ) × [tex]\frac{1}{6}[/tex]

= (196π - 49π ) ÷ 6

= 147π ÷ 6

≈ 77 cm² ( nearest whole number )

Answer:

[tex]A_s=76.97\ cm^2[/tex]

Step-by-step explanation:

Circular Sector

It's the portion of a circle enclosed by two radii and an arc. The area of a sector is calculated as follows:

[tex]\displaystyle A=\frac {r^{2}\theta }{2}[/tex]

Where r is the radius and θ is the central angle expressed in radians. The central angle will be converted to radians:

[tex]\theta=60*\frac{\pi}{180}=1.0472\ rad[/tex]

The shaded region in the figure can be obtained by subtracting the smaller sector A2 area from the larger sector area A1:

[tex]A_s=A_1-A_2[/tex]

The larger area is calculated with a radius of r1=14 cm:

[tex]\displaystyle A_1=\frac {14^{2}*1.0472 }{2}[/tex]

[tex]\displaystyle A_1=102.626\ cm^2[/tex]

The smaller area is calculated with r2=7 cm:

[tex]\displaystyle A_2=\frac {7^{2}*1.0472 }{2}[/tex]

[tex]\displaystyle A_2=25.656\ cm^2[/tex]

The shaded area is:

[tex]A_s=102.626\ cm^2-25.656\ cm^2[/tex]

[tex]\boxed{A_s=76.97\ cm^2}[/tex]

Answer:

$3.74

Step-by-step explanation:

5 pounds is 9.35 means 1 pound is 1.87 dollars

2 pounds is 3.74 dollars

Answer:

Aye My Guy You Got The Answer Yet Lol

Step-by-step explanation:

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Arrange equation variable for elimination

[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]

so

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

[tex]-[/tex]

[tex]\underline{y-4x=9}[/tex]

[tex]7x=-14[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]

Solve 7x = -14 for x

[tex]7x=-14[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]

Simplify

[tex]x = -2[/tex]

For y - 4x = 9 plug in x = 2

[tex]y-4\left(-2\right)=9[/tex]

[tex]y+4\cdot \:2=9[/tex]

[tex]y+8=9[/tex]

Subtract 8 from both sides

[tex]y+8-8=9-8[/tex]

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Answer:   The slope is 5/4  and the  y intercept will  be 2

Step-by-step explanation:

First convert the equation to slope intercept form ( y = mx+b)  where m will be the slope and b will be the y intercept.

5x - 4y = -8      Subtract 5x from both sides

-5x             -5x

  -4y =  -5x - 8     Divide both sides by -5

y =  5/4x  + 2

Answer:

answer is C

average speed=distance÷time=120÷4=30

Answer:

-4

Step-by-step explanation:

Answer:s

slope of -4x-3: m=-4

Answer:

-4, 2, -1

Step-by-step explanation:

everything is being multiplied by -1/2

32 × -1/2 = -16

-16 × -1/2 = 8

So 8 × -1/2 = -4

Answer:

76 is the answer :)

Answer:

$25

Step-by-step explanation:

5% of 500 = 0.05 × 500 = 25

Answer:

25$

Step-by-step explanation:

500*.05=25

Hope this helps :0

Answer:

$80

Step-by-step explanation:

DJ Dan's hourly rate will be $80.

Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.

Assume that the hourly rate is $[x]. Than, we can write -

3.5x + 125 = 405

3.5x = 405 - 125

3.5x = 280

x = (280/3.5)

x = 80

Therefore, DJ Dan's hourly rate will be $80.

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Answer:

D

Step-by-step explanation:

y=-x-4

First, we can match the graphs with the y-intercept of -4 given from the equation.

Only graphs C and D crosses the y-axis at -4.

The slope from the equation is -1.

If the slope is a negative number, the line should be negative as well, meaning the line should be going downwards (left to right always)

Out of graphs C and D, only graph D has a line going downwards and a y-intercept of -4.

Hope I was able to help! Good Luck!

Complete question :

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.

Answer:

44°

Step-by-step explanation:

From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 30 / 30

Tanθ = 1

θ = tan^-1(1)

θ = 45°

Hence, bearing of B from C is 45°

Answer:

He spend 75.12

Step-by-step explanation:

First determine the amount of the tip

62.60 * 20%

62.60 *.20

12.52

Add this to the cost of the sandwiches

62.60+ 12.52

75.12

Answer:

He spent  75.12! hope this helps :)

Step-by-step explanation: