Answer:
47
Step-by-step explanation:
using exterior angle property,
23+5x-1=9x+2
→20=9x-5x
→20=4x→ x=5
angle PRS= 9X +2 = 9*5 +2= 47
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)
Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
CONVERT
5 1/2 to and
IMPROPER
FRACTION.
Answer:
Hi There!! :-D
Step-by-step explanation:
5 1/2 as an improper fraction is 11/2.
We know that 5 x 2 is 10, and 10 + 1 is 11, therefore your answer is 11/2 !!!
Hope this helps you! ∩__∩
- abakugosimp
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The lifespans of lizards in a particular zoo are normally distributed. The average lizard lives 3.1 years, the
standard deviation is 0.6 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a lizard living between 2.5 and
4.3 years.
1%
Show Calculator
Report a problem
Plz HELP!!!
Answer:
Is there a picture of it so I can solve
In a survey of his neighborhood, Timothy found out that 3 families out of 7 have a dog for a pet. If this ratio is true for the whole town, how many families would have a pet dog in a town with about 3,850 families?
Answer:
1650 families
Step-by-step explanation:
In a survey of his neighborhood, Timothy found out that 3 families out of 7 have a dog for a pet.
The given ratio = 3:7
When written as a fraction = 3/7
The number of families that would have a pet dog in a town with about 3,850 families is given as:
3/7 × 3,850
= 1650 families
Therefore, 1650 families would have a pet dog in town.
Please help if you can. :) ASAP
Answer:
380 ft squared
Step-by-step explanation:
20 times 25 = 500 ft squared
but since there is air
12 times 10 = 120 ft squared
500 - 120= 380 ft squared
Help please.
Algebra.
Answer:
3) B
4) D
5) C
Step-by-step explanation:
3) Slope is before X
4) Set equal to Y
5) Use rise over run to find slope then find y intercept
can anyone help me solve this?
Answer:
Step-by-step explanation:
[tex](\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35[/tex]
Subtract both sides from 35
[tex](\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35[/tex]
Simplify:
[tex](\sqrt{z})^{2} -57=0[/tex]
Factor [tex](\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})[/tex]=0
[tex]\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0[/tex]
[tex]\sqrt{z} +\sqrt{57} =0: No Solution for Z[/tex]
[tex]\sqrt{z} -\sqrt{57} =0: z=57[/tex]
Your answer will be z=57
and No solution
Answer:
(
z
+
22
)(
z
−
22
)=35
Subtract both sides from 35
(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35(
z
+
22
(
z
−
22
)−35=35−35
Simplify:
(\sqrt{z})^{2} -57=0(
z
)
2
−57=0
Factor (\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})(
z
)
2
−57:(
z
+
57
)(
z
−
57
) =0
\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0
z
+
57
=0or
z
−
57
=0
\sqrt{z} +\sqrt{57} =0: No Solution for Z
z
+
57
=0:NoSolutionforZ
\sqrt{z} -\sqrt{57} =0: z=57
z
−
57
=0:z=57
Your answer will be z=57
Help me please..........
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
__
Algebraic solution
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
Solve equation by using the quadratic formula 25x^2 + 35x = -12
Answer:
[tex]\displaystyle x=\frac{-4}{5}, \frac{-3}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Multiple RootsStep-by-step explanation:
Step 1: Define
25x² + 35x = -12
Step 2: Rewrite
[Addition Property of Equality] Add 12 on both sides: 25x² + 35x + 12 = 0Step 3: Identify
Identify Variable Parts.
a = 25, b = 35, c = 12
Step 4: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-35\pm\sqrt{35^2-4(25)(12)}}{2(25)}[/tex][Numerator - √Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-35\pm\sqrt{1225-4(25)(12)}}{2(25)}[/tex][Numerator - √Radical] Multiply: [tex]\displaystyle x=\frac{-35\pm\sqrt{1225-1200}}{2(25)}[/tex][Numerator - √Radical] Subtract: [tex]\displaystyle x=\frac{-35\pm\sqrt{25}}{2(25)}[/tex][Denominator] Multiply: [tex]\displaystyle x=\frac{-35\pm\sqrt{25}}{50}[/tex][Numerator - √Radical] Evaluate: [tex]\displaystyle x=\frac{-35\pm5}{50}[/tex]Evaluate: [tex]\displaystyle x=\frac{-4}{5}, \frac{-3}{5}[/tex]50 points! True or false? Will mark brainliest! No random answers please :)
Answer:
true because it have no common solution
Answer: false!
Step-by-step explanation:
To be parallel, the lines have to have the same slope. The slope for line a is 5, the slope for line b is -1/5. These lines are perpendicular.
Turn these phrases into algebraic expressions (PLEASE HELP)
Twice a number, decreased by 7
2 more than 7 times a number
9 less than a number
4 times a number, plus 9
9 decreased by 4 times a number
one-fourth of a number
A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy? 1.Select all equations that represent the situation.a.4⋅25=?b.?⋅25=4c.25÷4=?d.4÷25=?e.?÷25=
Answer:
[tex]\frac{4}{25}[/tex] of a bag.
Step-by-step explanation:
You are going to an amusement park over Spring Break.
The cost of admission to enter the park is $30 and the
rides are an additional $6 each. If your parents give
you $100 to spend at the amusement park, what is the
maximum number of rides you can go on?
Please show work
Please hurry in 10 minutes
Answer:
you can go on a maximum of 11 rides
Step-by-step explanation:
you first have to subtract 30 from 100 since that is the admissons fee.
So now you are left with 70 dollars.
You divide 70 by 6 since you need 6 dollars to go on each ride.
and 70 divided by 6 is 11.6666666667 but round it to 11 since that the whole number you're left with.
hope this helped :)
Can somebody please help me with this question!! I will appreciate the help dearly
Answer: -7, 7
Step-by-step explanation:
-2x^2 - 9 = -107
-2x^2 + 98 = 0 (add 107 to both sides)
-2(x - 49) = 0 (factor out -2)
-2(x - 7)(x + 7) = 0 (factor)
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Is 5x and x like terms
Answer:
Yes they are. “X” is basically 1x becuase if you multiply 1 by x its still x. So they are like terms, if you combine them you’ll get 6x becuase 5x+x=6x
Smallest to largest
Help!
Answer:
I believe it is C... since the largest angle is always across from the longest side, where as the smallest angle is across from the shortest side.
Step-by-step explanation:
hope this helps :P hav a fantastic day
Express the rate as a unit.
2.75 yards of fabric for $22
9514 1404 393
Answer:
$8 /yd
Step-by-step explanation:
You probably want dollars per yard. To get that, divide dollars by yards:
$22/(2.75 yd) = $8 /yd
Please help ASAP!!!??
Answer:
[tex]\{-2,-1,1,2,4\}[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
[tex]\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}[/tex]
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
[tex]y = \{-1,-2,2,1,4\}[/tex]
Order from least to greatest"
[tex]y = \{-2,-1,1,2,4\}[/tex]
Hence, the range are: [tex]\{-2,-1,1,2,4\}[/tex]
✨PLEASE HELP✨DUE SOON✨
Answer:
U know what to do go to goggle and search algebra calculate and u will see a read box and written on it Mand Min back wards like infrnity and u can write ur problem
Laura tiene una tarifa de telefono en la que paga solo por el tiempo que dura cada llamada .Si un minuto cuesta o,16€ ysu ultima llamada duro 3,15 min ¿cuanto tendra que pagar?
Answer:
50,4 €
Step-by-step explanation:
De la pregunta anterior,
1 minuto = 16 €
3,15 minutos = x
Cruz multiplicar
x × 1 minuto = 16 € × 3,15 minutos
x = € 16 × 3,5 minutos / 1 minuto
x = 50,4 €
Por tanto, por una llamada de 3,15 minutos, Laura tendrá que pagar 50,4 €.
Mr. Cooper wet to the market looking to purchase some fried chicken meals to bring home for
dinner. In the Prepared Foods section of the market, fried chicken meals were on special $19 for 4
meals. Mr. Cooper needs 6 fried chicken meals to feed everyone at home. How much will it cost Mr.
Cooper to purchase fried chicken meals for his family?
Answer:
I don't believe there is enough information to answer the question.
Step-by-step explanation:
Either Mr. Cooper buys two 4 for 19$ specials for 38$ and has two left over, or he buys one special and then buys two individual fried chicken meals. The question does not tell us how much an individual chicken meal costs.
Answer:
$28.50
Step-by-step explanation:
19/4=4.75
4.75•6=28.50
Question 4 (2 points)
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10?
оа
2y + 10x = 8
Ob
4y - 10x = 12
OC
5y + 2x = 10
Od
5y-2x = 25
Question 5 (2 points)
What is the slope of the line perpendicular to the line represented by the equation 2x + 4y = 12?
Answer:
12
Step-by-step explanation:
The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.
Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Learn more about slopes here:
https://brainly.com/question/3605446
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Explain how the difference quotient ROC =
f(x+h)-f(x)/h
can be used to calculate
instantaneous rate of change. You are encouraged to use diagrams.
Answer:
f(x+h)-f(x)/h is the instanteous equation It is the tangent to the curve20 points for someone who can say answers for 1-9.. or send their work from this sheet.. please, help :(
Answer: 1) y=1/3x-1
2) y=-2/5x+0
3) y=1x+8
4) y=-3/6x+3
5) y=5/2x+1
6) y=-8/2x-5
7) y=1x+2
8) y=-2/3x-4
9) y=6/5x
Step-by-step explanation: For the graph: if the line is pointing to the right Mx from the equation Y=Mx+B it’s going to be POSITIVE for example: Y=7x+4 If it’s pointing to the left it’s NEGATIVE for example: Y=-6x+2. If want to know the Y-INTERCEPT = B you have to find the point that is connected to the (0,0) on the graph
Can anyone help me with this I need ASAP
Find the value of x.
12
2x
x=
Answer:
24x
Step-by-step explanation:
i hope this is correct! c:
This is a question .PLease help.
here is a math question
Answer:
D.
Step-by-step explanation:
Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)
Simplify: (-7x + 5) - (2x2 – 8x + 6). Choose the standard form of the answer.
A. -2x2 + x-1
B. -9x2 + 8x - 1
C. -5x2 + 8x-1
D. 2x2 - 15x - 1
Answer:
A.-2x2+-1
Step-by-step explanation:
(-7x+5)-(2x2-8x+6)
-7x+5-2x2+8x-6 then collect like terms
-2x2-7x+8x+5-6
-2x2-x+1
If it's helpful ❤❤❤
THANK YOU
Expression is a set of numbers, variables, and mathematical operations. The standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As the expression is given to us (-7x + 5) - (2x² – 8x + 6), in order to simplify the problem we need to open the brackets. therefore, the expression can be solved as,
[tex](-7x + 5) - (2x^2 - 8x + 6)\\\\= -7x + 5 - 2x^2 + 8x - 6\\\\ = -2x^2+8x-7x-6+5\\\\=-2x^2 + x - 1[/tex]
Hence, the standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.
Learn more about Expression:
https://brainly.com/question/13947055
What are the zeros of the polynomial y = (3x − 1)(x + 2)(2x + 1)? (4 points) negative two comma negative start fraction one over two end fraction comma start fraction one over three end fraction negative two comma negative start fraction one over two end fraction comma negative start fraction one over three end fraction 3, −2, 2 two comma start fraction one over two end fraction comma negative start fraction one over three end fraction
Answer:
1/3, -2 and -1/2
Step-by-step explanation:
Given the polynomial function y = (3x − 1)(x + 2)(2x + 1)
The zeros of the function occurs at when y = 0
The expression becomes;
(3x − 1)(x + 2)(2x + 1) = 0
3x - 1 = 0
3x = 1
x = 1/3
Also
x = x+2
x = 0-2
x = -2
2x+ 1 = 0
2x = 0-1
2x = -1
x = -1/2
Hence the zeros of the polynomial are 1/3, -2 and -1/2