A triangle has a sides (x) feet, (x+3) feet, and (x+5) feet. The perimeter is 99.5 feet What is the measure for the largest side?

Answer:

yes

Step-by-step explanation:

Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.

Given, A rectangle with sides of length n+2 and n.

∴ Perimeter = 2((n + 2) + n)

= 2(2n + 2).

= 4n + 4.

Also given, A square with sides of length n + 1.

∴ Perimeter = 4(n + 1).

= 4n + 4.

So, yes the two shapes are equal in the perimeter.

learn more about rectangles here :

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Answer:

36

Step-by-step explanation:

(x + 6)(x+6)

F.O.I.L.

x^2 +6x + 6x + 36

X^2 + 12x + 36

Answer:

36

Step-by-step explanation:

● x^2 + 12x

● 1 × x^2 + 2 × 1 × 6 × x

Notice that the third term is 6

So we will add 36 (6^2)

● x^2 + 12x + 36

● (x+6)^2

Answer:

If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots. ... If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots.

Step-by-step explanation:

Answer:

2x - 6y + 16

3rd option

Step-by-step explanation:

Step 1: Write out expression

2(x - 3y + 8)

Step 2: Distribute

2x - 6y + 16

Since there is no other like terms to combine, that is our final answer.

Answer:

D

Step-by-step explanation:

Hope this helps

Answer:

Length of route that passes the mall= 11 miles

Length of route that passes the theater= 13 miles

Step-by-step explanation:

route to school that passes the mall (highlighted in red)

= (x +1) +(x +2)

= 2x +3

route to school that passes the theater (in yellow)

= (2x +1) +x

= 3x +1

Since the first is 2 miles shorter,

2x +3= 3x +1 -2

Simplify:

2x +3= 3x -1

Bring constants to 1 side, x terms to the other:

3x -2x= 3 +1

x= 4

Substitute x=4 to find the length of each route:

Length of the route that passes the mall

= 2x +3

= 2(4) +3

= 8 +3

= 11 miles

Length of route that passes the theater

= 3x +1

= 3(4) +1

= 12 +1

= 13 miles

Alternatively, length of route that passes the theater

= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.

Answer:

161y - 45

Step-by-step explanation:

Answer:

⇒  [tex]1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

i doubt you still need the answer but first step is to create like demononators

Step-by-step explanation:

Answer:

Greater than

Step-by-step explanation:

First, I solved the expressions.

3(4x-1)=12x-3

2(4-x)=8-2x

12x-3>8-2x

As we can see, 12x-3 is greater than 8-2x.

Step-by-step explanation:

12x - 3 (expand 3(4x-1))

8-2x (expand 2(4-x))

if you assume that x=1 then 12x-3 would be 12(1)-3 then it would be 9 for the first

for the second equation, 8-2x, it would be 8- 2(1) or 6

9>6 so, 3(4x-1) > 2(4-x)

Answer:

Step-by-step explanation:

x·x·x·x·x=x^5

x multiplied 5 times

Answer:

2.35 hrs

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Step-by-step explanation:

distance traveled = 94 miles

cruise speed = 40 mph

time taken = ?

time taken = distance/speed = 94/40 = 2.35 hours

2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Answer:

3 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

5

Answer:

If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}[/tex]

Step-by-step explanation:

Let the number be x

The given condition is:

=> 17 % of x = 1360

=> [tex]\sf \frac{17}{100} * x = 1360[/tex]

Multiplying both sides by [tex]\frac{100}{17}[/tex]

=> [tex]\sf x = \frac{136000}{17}[/tex]

=> x = 8000

So, total number of mangoes is 8000.

Answer: same-side interior angles

Step-by-step explanation:

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.

Answer:

11 cartons.

Step-by-step explanation:

Since only 48 bears can be fitted into 1 carton, we need to find how many cartons approximately 500 bears can fit in:

500/48 = 10.4167 cartons

We can't have 4/10ths of a carton. Makes no sense in the real world. Therefore, we need a total of 11 cartons to pack 500 bears, even if one box isn't full.

Answer: 50

Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.

Answer:

3x^2 + 3x - 7

Step-by-step explanation:

Given:

(6x^2 – 4x – 5 ) – (3x^2 – 7x + 2)

The correct way of subtracting the polynomial is by changing the sign of each term of the second polynomial. Like this

= 6x^2 – 4x – 5 – 3x^2 + 7x - 2

Collect like terms

= 6x^2 - 3x^2 - 4x + 7x - 5 - 2

Simplify

= 3x^2 + 3x - 7

(6x^2 – 4x – 5 ) – (3x^2 – 7x + 2) = 3x^2 + 3x - 7

From the answer, the coefficient of x^2 is 3, coefficient of x is 3

Answer:

33h

Step-by-step explanation:

first you distribute the three:    3 x 5 + 3 x 6h

then you multiply:    3 x 5 = 15   3 x 6h = 18h

then you add:    15 + 18h = 33h

                           (just add 15 and 18 then add h on the end)  

Answer:

[tex] \frac{7}{5} (7f - 5)[/tex]

Answer:

-9.8f - 7

Explanation:

You distribute the negative to the 9.8f to make it -9.8f, and the 7 to make it -7.

(-9.8f + (-7)) = -9.8f - 7

Answer:

2(- 64f + 21)

Step-by-step explanation:

10(-8f+1)-8(6f-4)

-80f+10-48f+32

-80f-48f+10+32

-128f+42

hope it helps!

Answer:

Step-by-step explanation:

y + 1 = -9(x + 9)

y + 1 = -9x - 81

y = -9x - 82

answer is A

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

Answer:

[tex]Weight = \frac{23}{2}[/tex]

Step-by-step explanation:

Given

Weight of Pinata = 11/4 lb

Weight of candies = 3/8, 3/8, 1/2 , 1/2, 1/2, 3/4, 3, 11/4

Required

Weight of Pinata when filled with candies

To solve this question, we simply need to add all weights together

First, we need to add up the weight of the candies

[tex]Candies = \frac{3}{8} + \frac{3}{8} + \frac{1}{2}+ \frac{1}{2}+ \frac{1}{2}+ \frac{3}{4} + 3 + \frac{11}{4}[/tex]

Take LCM

[tex]Candies = \frac{3 + 3 + 4 +4 + 4 + 6 + 24 + 22}{8}[/tex]

[tex]Candies = \frac{70}{8}[/tex]

Simplify:

[tex]Candies = \frac{35}{4}[/tex]

Next; Add the weight of the candies to the weight of pinata

[tex]Weight = Candies + Pinata[/tex]

[tex]Weight = \frac{35}{4} + \frac{11}{4}[/tex]

Take LCM

[tex]Weight = \frac{35 + 11}{4}[/tex]

[tex]Weight = \frac{46}{4}[/tex]

Simplify

[tex]Weight = \frac{23}{2}[/tex]

Hence, the weight of the Pinata after it is filled with candies is 23/2 lb

Answer: The ratio of candy to fruit in a pinatas is 1/2 pound to 3/4. if we fill two pinatas and use 4 pounds of candy. how many pounds of will we need? Explain?

Step-by-step explanation:hey I know this isn’t what we’re talking about but MrRoyal I really need you help for this please :(

Answer:

(-13, -12)

Step-by-step explanation:

The midpoint (x,y) between two points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) on the coordinate plane is given by:

[tex]x=\frac{x_1+x_2}{2};\\\\y=\frac{y_1+y_2}{2}[/tex]

Hence given that house A is at (3, 6) and house B is at (-5, -3). Since house B is placed at the middle of house A and house B, let the coordinates of house C be ([tex]x_2,y_2[/tex]). Hence:

[tex]-5=\frac{3+x_2}{2\\} \\3+x_2=-10\\\\x_2=-10-3\\\\x_2=-13[/tex]

[tex]-3=\frac{6+y_2}{2\\} \\6+y_2=-6\\\\y_2=-6-6\\\\y_2=-12[/tex]

Therefore house C is at (-13, -12)

Answer:

k = 10

Step-by-step explanation:

∡ZYX = 180° - 115° = 65° (angles in a line add up to 180°)

*∡ stands for angle.

∑ of  ∡Z , Y and X should be equal to 180° (angles in a triangle add up to 180°)

∴ (4k + 5)° + 65° + (6k + 10)° = 180°

10k + 80 = 180

10k = 100

k = 100 ÷ 10 = 10

Answer:

-129

Step-by-step explanation:

f(x) = 4x +7

Answer:

Step-by-step explanation:

Change g(n) to y

y = 2n - 2

2y - 2 = n

2y = n + 2

y = (n + 2)/2

g^-1(n) = 1/2n + 1

solution is B