MATHEMATICS HIGH SCHOOL

Write and inequality for Toni can carry up to 18lb in her backpack.

Answers

Answer 1
Answer: X is less than or equal 18. I hope it helps

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Solve the following system.y = x + 3
4x + y = 18

(6, 3)

(3, 6)

(−3, 6)

(3, −6)

Answers

y = x + 3 . . . (1)
4x + y = 18 . . . (2)

Putting (1) into (2) gives
4x + x + 3 = 18
5x = 18 - 3 = 15
x = 15/5 = 3
x = 3
y = x + 3 = 3 + 3 = 6

Solution = (3, 6)
the answer is 3,6 this was easy

A 12 ft long ladder is leaning against a wall and makes an 80 degree angle with the ground. How high up the wall does the ladder reach, and how far is the rest of the ladder from the base of the wall? Round to the nearest inch.

Answers

12 and the other answer will be 9

Answer:

12 and the other answer will be 9

Step-by-step explanation:

Please nobody falsely answer this im very low on points i just need help please!!

Answers

You should just have to multiply each coordinate by the scale factor, giving
F’ (1.5,1.25)
G’ (2.5,0.25)
H’ (0.5,0.25)

Answer:

The first option

Step-by-step explanation:

The coordinates of each point divided by 4 matched up with the ones on that answer so it's the first one. it's proportional so I think that's it.

Hope this helped QwQ

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer:

C

Step-by-step explanation:

The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.

It takes a biker 1/2 hours to ride 8/3 miles. What is the biker's rate,in miles per hour?

Answers

Answer:

The biker is traveling at 5(1)/(3) miles per hour.

Step-by-step explanation:

To find the rate, in miles per hour, you must use the formula r = d/t.

(r = rate)

(d = distance)

(t = time)

(8)/(3) ÷ (1)/(2) = 5(1)/(3)

Which expressions are perfect square trinomials? Check all that apply. A. x2 + 16x + 8
B. x2 + 14x + 49
C. x2 – 5x + 25
D. x2 – 24x + 144
E. x2 + 9x – 81

Answers

perfect square trinomials are in the form
ax^2+bx+c such that
a=1
(b/2)^2=c

check each
all of them have 1 in front so skipt that step

A. (16/2)^2=8? false so no
B. (14/2)^2=49? true, this is
C. (-5/2)^2=25? false, this is not
D. (-24/2)^2=144? true, this is
E. (-9/2)^2=-81? false (easy way is that x^2 is never equal to a negative unless it is complex

B and D are answers
A. Doesn't work
B. (x + 7)(x + 7) = Works
C. Doesn't work
D. (x - 12)(x - 12) = Works
E. Doesn't work 

Therefore the answers are B and D 
The other don't work because they do not become perfect squares. 
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