18.
The area of the rectangle shown is at most 140 square centimeters.
a. Write and solve an inequality to find the possible
values of x.
10 cm
b. Based on the answer in part (a), is it possible for
the rectangle to have a length of 15 centimeters?
Explain.
(3x + 2) cm
Answers
9514 1404 393
Answer:
a) 10(3x+2) ≤ 140; x ≤ 4
b) no
Step-by-step explanation:
a) The area is the product of length and width. We want that product to be no greater than 140:
10(3x +2) ≤ 140 . . . . your inequality
We can solve this by dividing by 10 first.
3x +2 ≤ 14
3x ≤ 12 . . . . . . subtract 2
x ≤ 4 . . . . . . . . divide by 3; the solution to the inequality
__
b) If the length were 15, the area would be 10×15 = 150, which is greater than 140. The length cannot be 15 if the area is at most 140.
Related Questions
I’m confused on this question. Can anybody help?
Answers
Answer:
I believe the answer is 90
Step-by-step explanation:
Answer:
90 degrees
Step-by-step explanation:
Calculate whether an angle is 90 degrees using the Pythagorean Theorem. This well-known theorem is often phrased as "A squared plus B squared equals C squared," which indicates that the sum of the squares of lengths of the adjacent sides of a right triangle is equal to the square of the length of the hypotenuse side.
-6h + 2(4h + 3) = 1
Please provide your best explanations, as well as showing the step you took and the finished equation.
Solve for h.
Thank you!
Answers
Answer:
h = -2.5
Step-by-step explanation:
Apply the distributed property: -6h + 8h + 6 = 1Combine like terms: 2h + 6 = 1Subtract 6 from each side, so it now looks like this: 2h = -5Divide each side by 2 to cancel out the 2 next to h. It should now look like this: h = -2.5I hope this helps!
Answer:
h = -2.5
Step-by-step explanation:
-6h + 2(4h + 3) = 1
-6h + 2*4h + 2*3 = 1
-6h + 8h + 6 = 1 {combine like terms}
2h + 6 = 1
2h = 1 - 6
2h = -5
h = -5/2
h = -2.5
Which of the following expressions are equivalent to -3(2 + 7)?
Choose all answers that apply:
A) 6 + 21
B) -21 +6
C) None of the above
Answers
Answer:
-3(2+7) = -27
Step-by-step explanation:
Step 1: Solve Original Equation = -27
Step 2: Solve the Rest. A) 6 + 21= 21
B) -21 + 6= -15
Step 3: None of these answers equal the original answer (-27). Therefore making it C) None of the above.
En un mapa tienes que ir de la escuela a el mercado y del mercado a la biblioteca pero ¿Cómo se mide la distancia que hay entre cada uno de esos lugares si sale 1:10000 centímetros?
Answers
Answer:
La escala es 1 : 10000 centimetros
Eso significa que por cada centimetro que una persona mide en el mapa, en la vida real la distancia es 100 metros.
Por ejemplo, si usamos una regla para medir la distancia en el mapa y medimos que entre la escuela y el mercado hay una distancia de 7 centimetros (siguiendo las calles, no en linea recta), entonces la distancia a caminar para ir de la escuela al mercado es de 700 metros. Debemos ser cuidadosos y medir la distancia siguiendo las calles, ya que si medimos en linea recta la distancia puede ser menor, pero los humanos no volamos.
Which figure shows a single ray
Answers
there are no figures shown.
three sides of a quadrilateral are the same length. q. the length of the forth side is 7 inches. the perimeter of the quadrilateral is 40 inches
Answers
Answer:
3q+7=40 I know im a year late but this is for whoever needs it this year Step-by-step explanation:using algebra the value of q is 11 inches Mark me as brainliestThe length of the equal sides of the given quadrilateral comes to be 11 inches.
What is a quadrilateral?A quadrilateral is a polygon with 4 sides.
Suppose the length of the three equal sides =x inch
Length of the fourth side =7 inches
So, the perimeter of the quadrilateral = x+x+x+7
The perimeter of the quadrilateral = 3x+7
Given that the perimeter of the quadrilateral = 40inches
3x+7=40
3x=33
x=11
So, the length of three equal sides = 11 inches
Therefore, the length of the equal sides of the given quadrilateral comes to be 11 inches.
To get more about the quadrilateral visit:
https://brainly.com/question/23935806
PLEASE help find measure of angle - TEst review today
Answers
Answer:
alternate interior angles
amd lines are parallel
so 21x+4 and 23x-4 are congruent
helppppppppppppppp plzzzzzzzzzzzzzz
Answers
Answer: 15w
Step-by-step explanation:
17) The number of zeroes of the polynomial shown in below graph
1
2
3
4
Other:
Answers
Answer:
4
Step-by-step explanation:
The number of zeroes is the points that cut the x axis, so in the graph the polynomial cut FOUR times the x axis
83x - 6) = 6(4x + 8)
Answers
Answer:
[tex]x = \frac{54}{59}[/tex]
Step-by-step explanation:
I'm assuming you meant (83x - 6). Either way, the parentheses aren't needed there as there aren't any numbers outside of the parentheses on that side of the equation.
So:
Remember PEMDAS
P – Parentheses
E – Exponents
M – Multiplication /D – Division (whichever comes first from left to right)
A – Addition /S – Subtraction (whichever comes first from left to right)
Nothing needs to be distributed on the left side, so let's distribute the right side.
6(4x + 8)
6 * 4x = 24x
6 * 8 = 48
Now we have 24x + 48
83x - 6 = 24x + 48
Now, we must isolate the x so that in the end, we can get x =
83x - 6 = 24x + 48
+ 6 +6
83x = 24x + 54
-24x -24x
59x = 54
Now, we have isolated the x! Finally, we want x to = 1 so that it will be x = instead of 59x =.
[tex]\frac{59x}{59} = \frac{54}{59}[/tex]
Because 54/59 does not divide into a rational number or simplify any further, we can keep it as a fraction.
[tex]x = \frac{54}{59}[/tex]
~ [tex]InLoveWithPugs[/tex]
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Solve the following:
a) +3 = 8
b) 3 - 1 = 5
Answers
Answer:
Step by step explanation::
Which of the following relations DOES NOT represent y as a function of x? I. {(2,8), (8,5), 8,-2), (0,8)} II. {(1,9), (8,0), (9,2), (10,-5)} III. {(1,2), (8,2), (-8,2), (7,2)} IV. {(3,9), (7,3), (8,0), (3,-5)}
Answers
Answer:
IV. {(3,9), (7,3), (8,0), (3,-5)}
Step-by-step explanation:
this is because the x-values are the same in (3,9) and (3,5) which means that relation does not represent a function.
Please help I'm trying to give up please help scams every time  fill in the two blanks please
Answers
Answer:
1st blank: 60 degrees
2nd blank: 120 degrees or -240 degrees
Step-by-step explanation:
1st blank: hexagons have a rotational symmetry of 60 degrees, and that's basically what the question was asking
2nd blank: If you rotate the hexagon around x once, it will map a point onto one of the points next to it depending on the direction.
In order to map F onto B, you need to either rotate it 120 degrees (2 rotations) counterclockwise or 240 degrees (4 rotations) clockwise.
A clockwise rotation is negative and a counterclockwise rotation is positive so that would be 120 degrees or -240 degrees.
In ABC the measure of the largest angle 32 less than 3 time the smallest angle the measure of the middle angle is 8 more than half the measure of the largest angle . What is the measure of the middle angle?
Answers
Answer: The measure of the middle angle = 52°
Step-by-step explanation:
Let x = Smallest angle.
largest angle = [tex]3x-32[/tex]
Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]
Sum of all angles in a triangle is 180 degrees.
So, Smallest angle+ largest angle+ Middle angle = 180°
[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]
Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]
[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]
Hence, the measure of the middle angle = 52°
Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?
Answers
Answer:
19.93
Step-by-step explanation:
If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.
Determine the type of triangle that is drawn below. ASAP
Answers
Answer:
scalene acute
Step-by-step explanation:
all side are different and all angles are acute
Answer:
The answer is scalene acute
HELP PLEASE!!!!!!!!?!??
Answers
Answer:
B and C
Step-by-step explanation:
-√16 is both an Integer and a Rational number.
I need help with please and FAST ( I’m willing to give out a Brainliest to anyone who gets it correct )
Answers
Answer:
x=3
6x-3 = 15
Step-by-step explanation:
The sides with the lines means they are the same length
The perimeter is
6x-3 + 6x -3 + 32 = 62
Combine like terms
12x+26=62
Subtract 26 from each side
12x+26-26 =62-26
12x =36
Divide by 12
12x/12 = 36/12
x = 3
The missing side length 6x-3 = 6*3 -3 = 18-3 = 15
If (2a−1)4 = 16 then a =
Answers
Answer:
a=5/2 a=2.5
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
x² – 9
x² - 2x - 15
Simplify
Answers
Answer:
x^2 - 9 = (x + 3)(x - 3) = (x - 0)^2 - 9.
x^2 - 2x - 15 = (x - 5)(x + 3) = (x - 1)^2 - 16.
I assume you mean factored form?
solve each system of equations using substitution. x=y+1 x=3y+2
Answers
Answer:
x=1/2
y=-1/2
Step-by-step explanation:
x = y+1
x = 3y+2
Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.
As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.
For this, I will show you by plugging in the bottom equation for the top equation.
x = y+1
x = 3y+2
As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.
3y+2 = y+1
From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.
So, subtract y from both sides.
(3y-y)+2 = (y-y)+1
Rewrite the equation.
2y+2 = 1
Remember, the goal is to get the "y" BY ITSELF.
There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.
2y+(2-2)=(1-2)
When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.
Keep the 1.
Flip the - to a +
Flip the 2 into a -2.
So you get 1+(-2) which is -1. Now, rewrite the equation.
2y=-1
You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.
y=-1/2
Now, use this value to plug into your ORIGINAL equations (you can pick either)
x = y+1 OR x = 3y+2
x= -1/2 + 1
x=1/2
(1/2, -1/2)
Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
weeks hours
1 18
2 25
3 24
4 33
Answers
Answer:
2005400sblackwell
2005400sblackwell
03/27/2020
Mathematics
Middle School
Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
Answer:
32%
Step-by-step explanation:
I don’t know. I’m on a test got the answer wrong and it showed me the right answer.
Solve for L.
P = 2L + 2W
L = 2/(P - W)
L = 2(W - 2P)
L = (P - 2W)/2
Answers
Answer:
L = (P - 2W)/2
Step-by-step explanation:
This is the formula for perimeter
P = 2L + 2W
Sustract 2W on both sides:
P-2W= 2L
Divide both sides by 2:
(P-2W)/2 = L
L= (P-2W)/2
how long is 74% of 60 min
A. 50
B. 35
C.45
Answers
Answer:
Its c
Step-by-step explanation:
Answer:
yes it is C
Step-by-step explanation:
Jeremiah answers 90% of the questions on his test correctly. There are 40 questions on the test.
Correct Test Questions
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
StartFraction 1 over 10 EndFraction
4
4
4
4
4
4
4
4
4
4
Jeremiah writes the expression 40 minus (StartFraction 1 over 10 EndFraction times 40) to determine the number of questions answered correctly. Which is an equivalent expression?
StartFraction 9 over 10 EndFraction times 40
40 minus 36
(StartFraction 1 over 10 EndFraction times 40) minus 40
(40 minus StartFraction 1 over 10 EndFraction) times 40
Answers
Answer:
option . D
Step-by-step explanation:
The reason for this is because it is turned around which is able to be turned around and have the same answer in the end.
Jamie buys a ring that is priced at $900. What is the sales price of the ring, if Jamie uses the coupon below?
A.$885
B.$15
C.$765
D.$135
Answers
Answer:
D= $135
Step-by-step explanation:
We have to use proportions in order to figure this out. We know that 15% is equal to 15/100.
work:
15/100=x/900.
We cross multiply so its 13,500/100. This is not the answer so we divide which equals to $135
Explanation:^
Will give brainliest if correct.
Answers
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 14)
Point (-13, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6-14}{-13-3}[/tex]Subtract: [tex]m=\frac{-8}{-16}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]A piece of wire, 27 cm long, is to be cut in two parts. One part is to be twice as long as the other. Find the
length of each other.
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]9 \: \: , \: \: 18[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let me know if you need explanation.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
Let the smaller part be x
Bigger part is 2x
so 2x+x=27
=> 3x=27
=>x=27/3
=>x=9
Therefore the smaller part is 9 cm and the larger part is 2*9 = 18cm
Plz mark as brainliest............. hope it helps
5 into 3 by 8 + 3 into 2 by 5
Answers
Answer:
30
5 X 3 ÷ 8 + 3 X 2/5
= 15/11 X 2/5
(Take LCM of 5 and 11. LCM - 55)
15 X 5. 75
_____ =. ___
11 X 5. 55
2 X 11. 22
_____ =. ___
5 X 11 55
75 X 25. 1650
______ = ______
55. 55
= 30
help me with the dang question and I will give u 15 points ma guy...
Answers
Answer:
X=10
Step-by-step explanation:
[tex] \frac{gh}{fh} = \frac{ih}{jh} \\ \frac{25}{20} = \frac{x}{8} \: \: \: \: x = 10[/tex]
