A Rectangle launch tray has a length of X centimeters and a width of 15 cm the trays length is at least 20% greater than it's width. right an inequality to represent this situation. suppose X is a whole number find the least possible permitted and the least possible area of the lunch tray

Answers

Answer 1

we know that
x-------------> length rectangle launch tray
w------------< width rectangle launch tray------> 15 cm

length is at least 20% greater than it's width
x>=1.2w---------> x>=1.2*15

the answer part a) is
x>=18 ---------------> ( inequality to represent this situation)

part b) suppose X is a whole number find the least possible permitted and the least possible area of the lunch tray

the least possible permitted length is 18 cm
the least possible area of the lunch tray is 18*15=270 cm²

Related Questions

Lisa made $286 for 13 hours of work. at the same rate, how many hours would she have to work to make $242 ?

Answers

Lisa wpuld have to work 11 hours to make $242

Is the transformation a rotation about point j?

Answers

yes, if you rotated one of the figures at point B it would overlap the 2nd figure exactly.

Yes, it seems to have rotated about 90 degrees

Which of the following values is closest to the mean for the set of data shown below?
23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47
A.45.9 B.50 C.58 D.54.3

Answers

the answer b

hoped it helped!!!

ok so to find the mean u need to add all the numbers (689)
then divide by how much numbers there are (49.9)
so your answer is b

please mark brainliest!

“How many times did you ride the Ferris wheel today?” Is the question a statistical question? Explain why or why not.

Answers

Well in a way...im not sure. lets see if we are dealing with statistical and last time i checked thats a part of math soo she/he is wondering how many TIMES the other person so...some part of be is saying Yes But then again no...you choose its your question xD (hope i helped somewhat)

"A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer. For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question." the first google result. not my work

the factors of m^2 + 12m + 35 are?

Answers

m^2 + 12m + 35

Factored:
(m+5)(m+7)

Check:
(m+5)(m+7)
(m*m) + (m*7) + (5*m) + (5*7)
m^2 + 12m + 35

Hope this helps! :)

PLEASE HELP SUPER EASY IM JUST STUPID

Which is the most accurate description of the polygon below?

Answers

It's a rhombus.
1. D
2. A
3. D
4. B
5. C

Answer:

It is a rhombus.

Step-by-step explanation:

To identify the type of polygon, we will first determine if the opposite sides are parallel. To do this, we find the slope of each line segment. (Parallel lines have the same slope.)

For WX, m = (5-2)/(1-5) = 3/-4 = -3/4

For XY, m = (2--1)/(5-1) = 3/4

For ZY, m = (2--1)/(-3-1) = 3/-4 = -3/4

For ZW, m = (2-5)/(-3-1) = -3/-4 = 3/4

Since the slopes of WX and ZY are the same, these two sides are parallel. Since the slopes of XY and ZW are the same, these two sides are parallel. Since opposite sides are parallel, the figure is a parallelogram.

In order to be a rectangle, the angles would have to be right angles. Since perpendicular lines have slopes that are negative reciprocals of each other, the slopes of adjoining sides would have to be opposite signs and flipped. This is not the case, so the angles are not right; this means it is not a rectangle.

The only other option for a parallelogram without right angles would be a rhombus. This is the case if the length of each side is the same. We will use the distance formula for this:

[tex]WX=\sqrt{(5-2)^2+(1-5)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\\\XY=\sqrt{(2--1)^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5\\\\YZ=\sqrt{(2--1)^2+(-3-1)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\\\ZW=\sqrt{(2-5)^2+(-3-1)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

Since the length of each side is the same, this figure is a rhombus.

Find the area of a circle with a circumference of 2pi Either enter an exact answer in terms of 3.14 pi or as a decimal

Answers

C = 2 π r
2 π = 2 π r
r = 1
so
A = π r^2
A = 3.14 x 1^2
A = 3.14

answer
A = 3.14

WORTH 20 POINTS!!
The endpoints of one diagonal of a rhombus are (0, -8) and (8, -4). If the coordinates of the 3rd vertex are (1, 0), what are the coordinates of the 4th vertex? (7, -12)
(7, -8)
(-8, -4)
(-4, -12)

Answers

Think about this problem as follows:

The rhombus consists of two lines which connecting the endpoints which are intersecting each other. If you have the slopes of these, you can create a relation which says that
[tex]k_1 \cdot k_2 = -1[/tex]
where [tex]k_i[/tex] are the slopes of the lines.

Now you have one slope, which is [tex]k_1 = \frac{-8 - (-4)}{0-8} = \frac{1}{2}[/tex] which means that the slope of the other one has to be

[tex]k_2 = -1 \cdot 2 = -2[/tex]

Given that you have the point (1,0) its trivial to see that this is satisfied by the point (7,-12)[tex]k_2 = \frac{-12-0}{7-1}=\frac{-12}{6} = -2[/tex]

Its worth noting that you want to draw the points, that you have the correct order when you calculate the slope.

what is the approximate distance between the points (1 -2) and (-9 3) on a coordinate grid?

Answers

[tex]d= \sqrt{(-9-1)^2+(3-(-2))^2}= \sqrt{100+25}= \sqrt{125} \approx 11.18 \ \ \text{units}[/tex]

Answer:

11.18

Step-by-step explanation:

Someone please help, with a cherry on top?

View attached graph and find the approx. slope

THANK YOU SOOO MUCH!!!

Answers

your answer is 4.8. hope this helps

Which function is a shrink of the exponential growth function shown on the graph?
A.) f(x) = 2(3)x
B.) f(x) = 1/2(3)x
C.) f(x) = 2(1/3)x
D.) f(x) = 1/2(1/3)x

Answers

The exponential function shown in the graph is 3^x, so (1/2)3^x is a shrink of it.

Selection B is appropriate.

How to calculate linear distance between two points on circle circumference?

Answers

The distance between two points on the circumference of a circle is called the arc. If the arc length subtends an angle θ to the center of the circle and the circle has a radius r, then the length of the arc is calculated by the formula;
θ/360 × 2πr.

help me i need it asap ! please and be correct plz

Answers

The right triangles are congruent, so
.. 2x -14 = 37 -x
.. 3x = 51 . . . . . . . add x+14
.. x = 17 . . . . . . . . divide by 3

x = 17

Choose the correct simplification of the expression a to the 9th power times b to the 10th power all over a to the 2nd power times b to the 7th power.

Answers

a^9 * b ^10
======
a^2 * b ^7

When you are dividing, then the powers are subtracted Top first, bottom second.
a^(9 - 2) b^(10 - 7)
a^7 b^3

How would you factor 4x^2 + 9?
I think the answer has imaginary numbers in it, but how would you get the solution?

Answers

The answer is it cannot be. It is because if you use the difference of two square, the operation used must not be addition, but it would be subtraction.
It can be factored out if you will find the factors of 4x^2 - 9 =0
So the factors will be(using difference of two perfect squares):
(2x+3)(2x-3)
Cause if you will use the factors (2x+3)(2x+3) or even the negative signs to it, it will give:
4x^2+12x+9 or 4x^2-12x-9

so for the answer of your question, it is invalid.

Use k as the constant of proportionality to write the equation expressing the relationship: y varies inversely as x. if y = 10 when x = 5, determine k.

Answers

For an inverse relationship of the form
[tex]y= \dfrac{k}{x} [/tex]
you can solve for k, the constant of variation (or proportionality), by multiply both sides of the function to get [tex]xy=k[/tex]. Substituting 5 for x and 10 for y, you see that k = 50.

y = k/x

Step-by-step explanation:

Explain why 81 3/4 equals 27

Answers

81 to the 4th root is 3 and 3 cubed is 27.

General Idea:

There are few exponent rules that need to be used to simplify the rational exponent to get to the answer.

Exponent rules:

[tex] Rule\; 1: a \cdot a \cdot a \cdot a =a^4\\ \\ Rule\; 2: (a^m)^n=a^{m \times n} [/tex]

Applying the concept:

Rewriting 81 as a number with an exponent using prime factorization.

[tex] 81=3 \times 3 \times 3 \times 3 = 3^4\\ \\ Applying \; Rule \; 1, \; we\; get\; \\\\81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}} \\ \\ Applying \; Rule \; 2,\; we\; get\\ \\ 3^{4 \times\frac{3}{4} } = 3^{\frac{12}{4} }=3^3=3 \times 3 \times 3 = 27 [/tex]

Conclusion:

The above explanation explains why [tex] 81^{\frac{3}{4}} =27 [/tex]

helppppppppppppppppppppppppppppp

Answers

Answer:
x = 4

Explanation:
For the right hand side:
log base 9 of 8 + log base 9 of (x-2) = log base 9 (8*(x-2))
= log base 9 of (8x-16)
For the left hand side:
2*log base 9 of x = log base 9 of x^2

Now, equating the two sides and solving for x:
log base 9 of (8x-16) = log base 9 of x^2
This means that:
x^2 = 8x - 16
x^2 - 8x + 16 = 0
(x-4)^2 = 0
Therefore:
x = 4

Hope this helps :)

Five is a solution of (Y < -3)

A.True

B.False

Answers

This is false.

The integer '5' has a higher value than -3 as it leans on the right side of a number scale, while -3 sits on the left side.

I hope this helps!

Write an inequality to represent the situation: The temperature stayed above -15 degrees. Help!

Answers

Answer:

Temperature t > -15 degrees.

Step-by-step explanation:

Let t denote the temperature.

The inequality sign for above or greater is >. The inequality sign for less than is <.

It is given temperature stayed above -15 degrees.

This can be written in inequality form as t> -15 °(degrees)

The inequality to represent the temperature is t > -15°C

Given data:

To represent the situation where the temperature stayed above -15 degrees, the inequality symbol used is ">".

In an inequality, the ">" symbol means "greater than." By using this symbol, the temperature needs to be greater than -15 degrees.

The inequality representing this situation is:

Temperature > -15°C

So, t > -15°C

If the temperature is higher than -15 degrees, the inequality is true.

To learn more about inequality equations click :

https://brainly.com/question/11897796

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Write an equation in point-slope form for the line through the given point with the given slope. (–3, –7); m = -6/5

Answers

Point slope form : y-y₁=m(x-x₁)

Goes through (-3, -7) and the slope = -6/5

Since we are given the slope and the x₁ as well as y₁, we can simply plug everything into the point slope formula.

y - (-7) = -6/5(x - (-3))

Simplify.

y + 7 = -6/5(x + 3)

~Hope I helped!~

Which expression can you simplify by combining like terms? Clear Check 6 d 2 +5cd−3dc+8 6d2+5cd-3dc+8 12 c 2 −8 d 2 c+3dc+4 12c2-8d2c+3dc+4 7 d 2 −3 c 2 +6d−c 7d2-3c2+6d-c 16 c 2 +8cd+7c−8d 16c2+8cd+7c-8d

Answers

Final answer:

The expression that can be simplified by combining like terms is 16 c^2 + 8cd + 7c - 8d, where 8cd and -3dc are like terms and can be combined to simplify the expression to 16c^2 + 5cd + 7c - 8d.

Explanation:

The expression 16 c2 + 8cd + 7c - 8d can be simplified by combining like terms. Like terms in an algebraic expression are terms that have the same variable raised to the same power. Here, the terms 8cd and -3dc are like terms and can be combined.

Here's the step-by-step simplification:

First, identify like terms in the expression. In 8cd and -3dc, since multiplication is commutative (meaning ab = ba), cd and dc are essentially the same term. So, 8cd and -3dc can be combined.Combine the like terms by adding their coefficients. For 8cd and -3dc, we have 8 - 3 to get 5cd.Now, the simplified expression is 16c2 + 5cd + 7c - 8d.

This process of combining like terms helps in simplifying algebraic expressions, making them easier to work with.

After combining like terms, it's important to always check the answer to see if the simplification is reasonable and if there are any other like terms that can be combined.

So, the simplified expressions are:

1. [tex]$6d^2 + (5c - 3d)d + 8$[/tex]

2. [tex]$12c^2 - (c(8d - 3)) + 4$[/tex]

3. [tex]$7d^2 - 3c^2 + 6d - c$[/tex]

4. [tex]$16c^2 + c(8d + 7) - 8d$[/tex]

Let's simplify each expression by combining like terms:

1. [tex]$6d^2 + 5cd - 3dc + 8$[/tex]

Combine like terms:

[tex]$6d^2 + (5cd - 3dc) + 8$[/tex]

[tex]$6d^2 + (5c - 3d)d + 8$[/tex]

2. [tex]$12c^2 - 8d^2c + 3dc + 4$[/tex]

Combine like terms:

[tex]$12c^2 - (8d^2c - 3dc) + 4$[/tex]

[tex]$12c^2 - (c(8d - 3)) + 4$[/tex]

3. [tex]$7d^2 - 3c^2 + 6d - c$[/tex]

No like terms to combine.

4. [tex]$16c^2 + 8cd + 7c - 8d$[/tex]

Combine like terms:

[tex]$16c^2 + (8cd + 7c) - 8d$[/tex]

[tex]$16c^2 + c(8d + 7) - 8d$[/tex]

telling a child that he won't amount to anything in life is a form of
(A)neglect
(B)emotional abuse
(C)physical abuse
(D)sexual abuse

Answers

Answer: Option B. Emotional abuse
Emotional abuse, also called psychological violence, is a form of abuse where the person or sufferer is exposed to act which can result in psychological trauma and can include depression, anxiety, etc. So, this act of telling a child that he would not amount to anything is considered as emotional abuse.

The area of a triangle is 1440 cm^2. the base of the triangle is 5 times the height. what is the height of the triangle?

Answers

height = "h"
Triangle Area = .5 * base * height
1,440 = .5 * 5h * h
1,440 = 2.5 h^2
576 = h ^2
height = 24 centimeters
and the base is therefore 120 centimeters

Double Check
base = 120 cm
height 24 cm
area = .5 * 120 * 24
area = 1,440

If triangle ABC has sides of lengths 6,10,and x, between which two numbers must the value of x lie

Answers

The sum of two sides of a triangle must be more than the length of the third side. 6+4 = 10 so x must be greater than 4. 6 + 10 = 16, so x must be less than 16
4<x<16
x is between 4 and 16.

ASAP plz help fast thanks

Answers

Looks like A and D <<<<-===== short answer.
In order for lines to be perpendicular the slope of one line has to be the minus reciprocal (upside down) of the other.
A
3x + y= 6
y = -3x + 6 So the second line has to be 1/3 Notice it is plus.

B
6x - 2y = 4
-2y = -6x + 4
y = (-6/-2)x + (4/-2)
y = 3x - 2

C
y = 3x - 2

D
y = 1/3 x +7

WILL GIVE A BRAINLEST!!!!!!

Solve and check : c-4/c-2=c-2/c+2 - 1/2-c

The solution is c =

How many extraneous solutions are there?

Answers

[tex]c=14[/tex]

There is no extraneous solution because as we put the value of c in equation (1), it does not make the equation (1) not define.

Step-by-step explanation:

Given :

[tex]\dfrac {c-4}{c-2} = \dfrac {c-2}{c+2} - \dfrac{1}{2-c}[/tex] --------- (1)

Calculation :

[tex]\dfrac {c-4}{c-2} = \dfrac {(c-2)^2+(c+2)}{(c+2)(c-2)}[/tex]

[tex]c-4 = \dfrac {(c^2-4c+4)+(c+2)}{(c+2)}[/tex]

[tex](c-4)(c+2) = (c^2-3c+6)[/tex]

[tex](c^2-2c-8) = (c^2-3c+6)[/tex]

[tex]c=14[/tex]

There is no extraneous solution because as we put the value of c in equation (1), it does not make the equation (1) not define.

For more information, refer the link given below

https://brainly.com/question/11897796?referrer=searchResults

Answer:

14 and Zero

Step-by-step explanation:

Rico travelled from the United States to the United Kingdom. Once Rico arrived, he converted his American dollars into British pounds (the currency in the U.K.). He gave the bank teller $500 and was given back 295 pounds. At the end of his vacation Rico had 75 pounds left over which he converted back into US dollars. How much money (in US dollars ) did Rico have when he got home? Round the answer to the hundredth.

Answers

105 us dollars is 75 pounds

Find the value of x in the triangle shown below?

A. 44°
B. 29°
C. 107°
D. 90°

Answers

c. 107 44+29=73 180-73= 107

The sum of All the internal angles of triangle equals to 180 degree
So you can sum the one that are given and subtract 180 from them to find x which is 107

Daniel read 3 books in 2.5 weeks. which rate represents this situation

7.5 books/3 weeks

3 books/2.5 weeks

3 books/7.5 weeks

2.5 books/3weeks

Answers

3 books/2.5 weeks. Because it basically just says it in the sentence and its impossible for it to be any other one

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