Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:
Area = length * width
169 = xy
y = 169/x
Also the perimeter of the rectangular pen is:
Perimeter (P) = 2(length + width)
P = 2(x + y)
P = 2x + 2y
P = 2x + 2(169/x)
P = 2x + 338/x
The least amount of fencing is at dP/dx = 0, hence:
dP/dx = 2 - 338/x² = 0
338/x² = 2
2x² = 338
x² = 169
x = 13 feet
y = 169 / x = 169/13 = 13 feet
The least amount of fencing = P = 2(x + y) = 2(13 + 13) = 52 feet
Se tienen 25 billetes de 5 y de 20 lempiras con un monto de 350 lempiras cuantos billetes de 5 lempiras se tienen y de 20 lempiras
Answer:
El número de facturas
5 lempiras = 10 billetes
20 lempiras = 15 billetes
Step-by-step explanation:
Vamos a representar
El número de facturas de
5 lempiras = x
20 lempiras = y
Nuestro sistema de ecuaciones se da como:
x + y = 25 ..... Ecuación 1
x = 25 - y
5 × x + 20 × y = 350
5x + 20y = 350 .... Ecuación 2
Sustituiríamos x por 25 - y en la ecuación 2
5 (25 - años) + 20y = 350
125 - 5 años + 20 años = 350
125 + 15 años = 350
15 años = 350 - 125
15 años = 225
y = 225/15
y = 15
Resolviendo para x
x = 25 - y
x = 25 - 15
x = 10
Por lo tanto, el número de facturas
5 lempiras = 10 billetes
20 lempiras = 15 billetes
How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?
SOMEONE ANSWER PLS
Answer:
Possible outcomes = 6
Step-by-step explanation:
Since the spinner is divided into red, yellow, orange, purple, blue and pink
Total of 6 colors.
Match each power of a power expression with its simplified expression
= 4⁰×-⁹
= 4⁰
(-4⁹)²= -4⁹ײ
= -4¹⁸
=( -4)¹⁸
(4-³)-³= 4-³ × -³
= 4⁹
(4⁶)-³= 4⁶ × -³
= 4-¹⁸
= 1/4¹⁸
.Find x in the following figure. plss helpp need ans asap!
Answer:
80
Step-by-step explanation:
This is a pentagon (5 sides), n=5
The sum of internal angles equals (n-2)*180 = 540°
We have
A = 90
B = 180-40
C = 180-x
D = 180-60
E = 180-90
Sum all the angles to equal 540°
90 + 180-40 + 180-x + 180-60 + 180-90 = 540
620-x = 540
solve for x
x = 620 - 540 = 80
Answer:
80
Step-by-step explanation:
the answer should be 80 just as mathmate explained
Bye !
Alejandra correctly wrote the equation y-3=1/5 (x-10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y-3=2(x-10)
Step-by-step explanation:
y-3=2(x-10)
what expressions are equivalent to 3-b
Answer:
hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol
If valorie made five times more baskets than her brother Vance
But if she made 70 baskets how many baskets did Vance make
Answer:
I say its 14 because it says times more" so u would divide 70 by 5 but im debating between 14 and 65
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEE
Answer: 20 ft
Step-by-step explanation:
The mirror is set away from the flagpole on the same scale set away from her.
The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.
This means her size x4 is the size for the flag pole. This checks out because 12x4=48
So to find the height we must do 5x4
5x4=20
what is the answer for 10(x-7)=y
Need quick help with this math
Answer:
Eleanor and Harold
Step-by-step explanation:
The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:
[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]
Therefore, we have:
[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]
Hector's answer is equivalent but not simplified. However, they are both technically correct.
Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!
Answer:
[tex]Pr(x) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]n = 30[/tex] --- number of rolls
Required
The theoretical probability of rolling: (a) 1 (b) 4 (c) 6 (d) 7
Assume the cube is 6 sided.
The sample space is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
And the probability of each is:
[tex]Pr(x) = \frac{1}{6}[/tex]
Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:
[tex]Pr(x) = \frac{1}{6}[/tex]
what is an expression showing the sum of 5 less than the number k
Answer:
5<k
Step-by-step explanation:
Answer:
k-5
Step-by-step explanation:
So, lets go over each part of the sentence, and turn it into a expression.
So it first says sum. This means addition, so we can start our expression with:
+
Next is says of 5. So we know its the addition of 5:
+5
Next it says less than. So now we know less than, which is subtraction. So we can swap the addition sign for a - sign:
-5
Finally it says the number k. So we know that the subtracted value is k:
k-5
So this is your expression!
Hope this helps!
4a. Solve the inequality 3(2x - 4) + 6 > 18 + 2x , for x*
Answer:
x>6
Step-by-step explanation:
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85? Select all that apply.
Answer:
7th
Step-by-step explanation:
63 - 58 = 5
68-63 = 5
She is adding 5 points each time
a1 = 58
d = 5
a2 = 63
a3 = 68
a4 = 58+5 = 73
a5 = 73+5 = 78
a6 = 78+5 = 83
a7 = 83+5 = 88
This is the first assessment greater then 85, so the 7th assessment
Ahmed made the model of the Financial Center at Sowwah Square for his school project. The height of the building model is 20 cm and the base one is 40cm and the base two is 35 cm. Ahmed is finding the area of the building model. What is its area?
PLSSS HELPP
Answer:
Area = 1500 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area= height ×(Base 1 +base 2)
Area = 20 × (40+35)
Area = 20×75
Area = 1500 [tex]cm^{2}[/tex]
The length of the ladder that will run from the ground to the door of the tree house is nine feet. The plan recommends that the rungs of the ladder be spaced at 8-inch intervals. The first and last rung should be 6 inches from the respective ends. How many rungs will the tree house ladder have?
Answer:
13 Rungs
Step-by-step explanation:
According to the Question,
Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.
And, The first and last rung should be 6 inches from the respective ends.Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.
Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.Find the average of 40.6, 10, 0.7, and 120.02
Answer:
42.83
Step-by-step explanation:
add all the numbers and divide by how many their are
Savannah is using unit cubes to determine the volume of her desk drawer. What is true about the volume of Savannah's drawer?
Answer:
The volume is 60 cubic units
Step-by-step explanation:
It is given that Savannah is using the unit cubes for determining the volume of her desk drawer.
Each of the cube have dimensions of 1 unit by 1 unit by 1 unit
The base of the drawer is 4 unit cubes by 3 units cubes. And the height of the desk drawer is 5 units cube.
Thus the volume of her desk drawer is = 4 x 3 x 5
= 60 cubic units
Dan rolls a fair dice and flips a fair coin what is the probability of obtaining an even number and a head
Half the numbers on the die are even so you have a 1/2 probability of getting an even number. There is also. 1/2 probability of getting heads on a coin flip.
To find the probability of both happening, multiply the probability of each together:
1/2 x 1/2 = 1/4
The probability of getting an even number and heads is 1/4
Help me down below
PLEASE
Answer:
there is one more zero
Step-by-step explanation:
now it's 8 million rather than 800 thousand.
What is the coefficient of the expression:
3n+4
Answer:
The coefficient is 3, the number right before the variable.
Answer:
3
Step-by-step explanation:
(e+8)°
(3e-4°
Need help asap thx
Answer:
e=44°
Step-by-step explanation:
3e-4+e+8 = 180 degree (being linear pair)
4e+4=180
4e=180-4
4e=176
e=176/4
e=44 degree
Area of shaded circle
#17 and #18 with explanations pleaseee
17/18 dived by 2/4 as a reduced fraction
Answer:
1 8/9
Step-by-step explanation:
Hope you enjoy :)
Which linear inequality is represented by the graph?
y<3x+2
y>3x+2
y<1/3x+2
y>1/3x+2
Answer:
Y < 3x+2
Step-by-step explanation:
Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.
So your answer is:
y>3x+2
What are the vertices of the resulting image A'B'C'D'E' after rotating the figure 90° about the origin?
Answer:
45
Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.
9
ded the colour of each car going past his house one morning.
e results are shown below.
blue red red silver silver silver silver silver blue silver blue blue black red
red silver silver red black red
complete the table for Jay's results.
Colour
Frequency
blue
red
silver
black
Tally
4 4
= b
till
= 8
2
nich colour of car did Jay record most often?
Answer:
The correct answer is -
1. An image with correct tally marks and frequency values is attached.
2. Silver
Step-by-step explanation:
The given data of different color cars that going past his house one morning is given in 20 times. The frequency of each car is -
Blue cars - 4 times out of 20
red - 6 times out of 20
silver - 8 times out of 20
black - 2 times out of 20
The complete table is attached as an image -
2. the maximum frequency of the car is the silver car so Jay must have recorded the silver car most often.
wats the answer of 1 2/5 ÷14/15
Answer:
2/5 ÷-14/15
2/5×-15/14
-3/7 is ur answer
Answer:
3/2 = 1 1/2 or 1.5
Step-by-step explanation:
1 2/5 ÷ 14/15
= 7/5 ÷ 14/15
= 7/5 × 15/14
= 3/2 = 1 1/2 or 1.5
Please help 50 points!
Simplify the expressed
Answer:
Step-by-step explanation:
[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex] rewrite as multiplication
[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex] look to factor
[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex] , difference of 2 squares and perfect square
[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify
2(x+3)
(Please help this is due by Tuesday)
Answer:
A
Step-by-step explanation:
