The perimeter of the triangle is 13 inches. What is the length of the shortest side?

Answer:

Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

This question is incomplete and lacks the required diagram

Complete Question

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answer:

Yes, he has enough ribbon to decorate the top of the box.

Step-by-step explanation:

From the above question, we are told that the volume of the box = 296cm³

Volume of the box = a³

296cm³ = a³

a = √296cm³

a = 6.6644437033cm

The side length of the box = 6.6644437033cm

The length of the ribbon = 24 1/4 inches

= 24.25 inches long.

Converting this to centimeters =

1 inch = 2.54cm

24.25 inches =

24.25 × 2.54 cm

= 61.595cm.

Length of the ribbon = 61.595cm.

Since from the above, we know the edges of the cube = square

Edge length of the box = 6.6644437033cm

The perimeter of a top of the box

= 4a

= 6.6644437033cm × 4

= 26.657774813 cm

Subtracting the perimeter of the top of the box from the length of the ribbon

61.595cm - 26.657774813 cm

= 34.937225187 cm ( ribbon left)

Therefore, he has enough ribbons left

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

Answer:

6

Step-by-step explanation:

40 - 21.40 = 18.6

18.6 - 15, for the amount he sets aside for shirt = 3.6 left to spend

3.6 divided by 0.58 = 6.20

so rounded, the answer should be 6 packages of skittles

Answer:

(-9, 3)

Step-by-step explanation:

Reflect over y-axis: (-9, -3)

Then over x-axis: (-9, 3)

Answer:

5 minutes

Step-by-step explanation:

5 people take 5 minutes to make 5 toys

1 person takes 25 minutes to make 5 toys

100 people take 0.25 minutes to make 5 toys

100 people take 0.05 minutes to make 1 toy

100 people take 5 minutes to make 100 toys

Answer:

V2 = 670.129

Step-by-step explanation:

V1T2 = V2T1

Let V2 = y

600 x 86.0 = y x 77.0

51600 = 77y

77y/77 = 51600/77

y = 670.129

since y= V2

V2 = 670.129

Answer: 35

Step-by-step explanation:

Answer: y = 4x - 12

Step-by-step explanation:

Answer:

The youngest brother is James and his age is 18 Years.

Step wise explaination:

Lets suppose,

age of James = x

age of Brandon = 2x

age of Marshall = 2x - 11

The sum of ages of three brothers = 79

now,

finding the value of x,

x + 2x + 2x - 11 = 79

or, 5x - 11 = 79

or, 5x = 79 + 11

or, 5x = 90

or, x = 90

5

so, x = 18.

Then,

age of James = 18.

age of Brandon = 2×18 = 36.

age of Marshall = (2×18) - 11 = 25.

Therefore,

The youngest brother is James and his age is 18 Years.

Answer:

their night cost them $33.21

Step-by-step explanation:

Answer:

Hi there!

Your answer is;

There are 50 bacteria after 3 hours

Step-by-step explanation:

After three hours, with a rate of 20% an hour, 60% should have died

20% of 125 is?

100% is 125

/100

1% is 1.25

×60

60% is 75

125-75= 50

Hope this helps

Answer:

Step-by-step explanation:

Given P to be the point that divides the coordinates J and K in the ratio 1:3

then the coordinate of point P will be xpressed as;

P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]

Given J = (-4, 11) and K = (8, -1)

[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]

substituting the given parameters into the line division formula

[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]

Hence the coordinates of P is (-1, 8)

Answer:

m=2

Step-by-step explanation:

Answer:

[tex]m=2[/tex]

Step-by-step explanation:

[tex]3\left(m+5\right)=3+3\left(2m+2\right)[/tex]

Expand:

[tex]3m+3\times5=3+3\times2m+3\times2[/tex]

[tex]3m+15=3+6m+6[/tex]

[tex]3m+15=6m+9[/tex]

Subtract 15 from both sides:

[tex]3m+15-15=6m+9-15[/tex]

[tex]3m=6m-6[/tex]

Subtract 6m from both sides:

[tex]3m-6m=6m-6-6m[/tex]

[tex]-3m=-6[/tex]

Divide both sides by -3:

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

[tex]m=2[/tex]

Answer: x=6.9

Step-by-step explanation:

In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.

65.37= 8.3x + 8.1                [subtract both sides by 8.1]

57.27=8.3x                          [divide both sides by 8.3]

x=6.9

Now, we know x=6.9.

Answer:

6.9

Step-by-step explanation:

Answer: should be 4.13

Step-by-step explanation: -12.4 divided by 3 is -4.13333333333 and goes on

Answer:

10.75 is the answer I think

Answer: The answer is 0.11 in decimal form.

Step-by-step explanation:

Answer:

6x^2 -4x +16

Step-by-step explanation:

(2x^2 -2x +7) + (4x^2 -2x +9)

6x^2 -4x +16

Answer:

x=3

Step-by-step explanation:

[tex]5 - x - x = - 1 \\ 5 - 2x = - 1 \\ - 2x = - 1 - 5 \\ - 2x = - 6 \\ x = \frac{ - 6}{ - 2} \\ x = \frac{6}{2} \\ x = 3[/tex]

hope it helped you:)

Answer:

3

Step-by-step explanation:

5-2x=-1

-5__-5

____-6

-2

3

Answer:

Step-by-step explanation:

490 = 70 * 7

560 = 70 * 8

630 = 70  *9

700 = 70 * 10

770

840

910

You can fill in the other 3

So the number can be 630 770 or 910

Answer:

630, 770, 910

Step-by-step explanation:

They are multiples of 70 and the tens place number is odd 630, 770, 910

Answer:

1.0556611e+14

Step-by-step explanation:

1.05566105 + 14

Answer:

Option D. y = – 5x² + 20x + 25

Step-by-step explanation:

We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:

The solutions are simply the values through which the graph cuts the x-axis.

The solutions are x = – 1 and 5.

Next, we shall obtain the equation for the graph as follow:

x = – 1 Or x = 5

x + 1 = 0 or x – 5= 0

(x + 1) (x – 5) = 0

Expand

x(x – 5) + 1(x – 5) = 0

x² – 5x + x – 5 = 0

x² – 4x – 5 = 0

Multiply through by 5

5x² – 20x – 25 = 0

Rearrange

0 = 0 – (5x² – 20x – 25)

= – 5x² + 20x + 25

Thus, the equation is:

y = – 5x² + 20x + 25

Answer:

answers in the explanation.

Step-by-step explanation:

1. x=12

2 x=7

3.x=8

4.x=5

Answer:

x= -3

Step-by-step explanation:

Distribute 4(2-4x) which leaves you with 8-16x-3x=65

combine the like terms which leaves you with 8-19x=65

subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57

lastly divide -19 from both sides which leaves you with x= -3

Answer:

-252

Step-by-step explanation:

4 * -6.3

-252

Anytime you multiply a positive number to a negative number, it will always be negative.

Best of Luck!

Answer:

-252 is the correct answer to this question

Answer: 14

Step-by-step explanation: 14 because QU is 24, RU is 19, so SU has to be 14. 24-5=19 19-5=14

Answer:

14

Step-by-step explanation:

QR = 5   RS = 5   and   ST = 5

If all of these distances are equal to 5 then all you need to do is subtract the distance of RU, which is 19, from ST, which is 5, and that'll be your answer.

==========================================================

The given points are T(3,1) and U(5,3)

The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.

The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.

The midpoint is (4,2)

Effectively, we just used the midpoint formula

[tex](x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)[/tex]

In short: add the corresponding coordinates, then divide by 2.