Answer in fraction form = 33/2
Answer in decimal form = 16.5
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Work Shown:
n = some number
2n = twice that number
2n+3 = "sum of twice a number and 3"
[tex]\sqrt{2n+3}[/tex] = square root of the previous expression
The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]
We'll follow PEMDAS in reverse, undoing each operation, to isolate n
[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]
Answer:
[tex]\frac{33}{2}[/tex]
Step-by-step explanation:
In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:
Let x be the number:
[tex]\sqrt{2x+3 = 6 }[/tex]
In order to solve the problem:
[tex]\sqrt{2x+3}^2=6^2[/tex]
By squaring both sides to remove the exponent:
[tex]{2x + 3 = 36}[/tex]
Simplify:
[tex]{2x+3-3=36-3}[/tex]
Subtract 3 from both sides:
[tex]{2x = 33 }[/tex]
Then Simplifying further:
[tex]\frac{2x}{2} = \frac{33}{2}[/tex]
Divide both sides by 2 to remove 2 from the x.
[tex]{x = \frac{33}{2} }[/tex]
Thus, meaning the answer is [tex]\frac{33}{2}[/tex]
Hope this helps you.
What fraction or whole number on the number line 1/9 closest to?
Answer:
i dont understand either
Step-by-step explanation:none
Weekly Pay The weekly salary of an employee is
$250 plus a 6% commission on the employee's total
sales. Find the weekly pay for a week in which the
sales are $5500.
Answer: $580
Step-by-step explanation:
Equation for this problem: 250 + 0.06c = p where c = commission and p = pay
If the sales for this employe was $5500, we can fill out the equation:
250 + 0.06 × 5500 = 580
The employee is paid $580.
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me brainliest!
A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.
Answer:
24√2
Step-by-step explanation:
Let the side of the square be x
If the diagonal is 12m (hypotenuse), then;
x^2 + x^2 = 12^2
2x^2 = 144
x^2 = 144/2
x^2 = 72
x = √72
x = √36*2
x = 6√2
Perimeter of the square garden = 4x
Perimeter of the square garden = 4(6√2)
Perimeter of the square garden = 24√2
In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree
Answer:
M= 16.8868 ≈ 16.9
Step-by-step explanation:
A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41
Answer: 360>5.5+36.41d
Step-by-step explanation:
Maria claims that ABE ~ ACD. Select two of the transformations or series of transformations that supports Maria's claim and maps ABE to ACD
Answer:
All the answers that has the dilation of 3, except the last one.
Autumn wants to calculate the area of the regular hexagon below using rectangles and triangles. What is the minimum number of shapes she could use?
Two triangles and one rectangle
Two rectangles and one triangle
Two triangles and two rectangles
no rectangles and 6 triangles
Answer:
A. Two triangles and one rectangle.
Step-by-step explanation:
A regular hexagon has all six sides to be equal in length. The sum of its interior angle can be determined by:
sum of angles = (n - 2) x 180
So that some series of different shapes can be produced from the polygon. In the given hexagon, the minimum number of shapes that can be produce is 3 which are; 2 triangles and a rectangle.
How could I write 3 as a fraction?
Answer:
[tex]3/1[/tex]
Step-by-step explanation:
You can put any number as a fraction by simply placing a one in the denominator spot.
What was Joy's balance before she withdrew money from the mall ATM?
Account Number 1212343434
Statement period: 6/14/2013 to 7/15/2013
Beginning Balance
Total Deposits
Total Withdrawals
Ending Balance
$1214.50
$148.00
$295.48
$1067.02
Ref #
Date
6/15
6/19
Debits (-) Credits (+)
15.44
40.00
84.39
103.66
148.00
6/27
Description
Electronic Purchase_Comer Market
ATM-Evergreen Mall
Check
Check
Deposit
Electronic Purchase
Barb's Books
558
557
Balance
1199.06
1159.06
1074.67
944.01
1092.01
1067.02
6/28
7/1
7/7
24.99
$ 1199.06
$1159.06
S1074.67
The answer is $1199.06
PLEASE HELP I NEED A GOOD MATH GRADE
Answer:
1.2 to 10 o->
2.8 to -10 <- with fully bubbled o
Decompose the fraction in two different ways 1 1/4
Answer:
if my decompose, you mean change it, but still mean the same, then 5/4, and 1 2/8
Step-by-step explanation:
The mixed fraction number 1 ¹/₄ into the two different forms will be 5/4 and 1.25.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The mixed fraction number is 1 ¹/₄.
Convert the mixed fraction number into a fraction number. Then we have
1 ¹/₄ = 1 + ¹/₄
1 ¹/₄ = (4 + 1) / 4
1 ¹/₄ = 5 / 4
Convert the fraction number into a decimal form. Then we have
5/4 = 1.25
The mixed fraction number 1 ¹/₄ into the two different forms will be 5/4 and 1.25.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What is the area of this figure?
Answer:
806.5 in ^2
Step-by-step explanation:
Separate into 3 figures: rectangle, trapezoid, and triangle
Rectangle:
A = 16*9
A = 144
Trapezoid:
A = ((16+31)/2)*15
A = 352.5
Triangle:
A = (31*20)/2
A = 310
TotalArea:
144+352.5+310
A = 806.5 in^2
Annabelle is going to a carnival that has games and rides. Each game costs $1.75 and each ride costs $3.50. Annabelle spent $28 altogether at the carnival and the number of games she played is 7 more than the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Annabelle played, x,x, and the number of rides Annabelle went on, yy.
Answer:
$15.75
Step-by-step explanation:
1.75 x 7 = 12.25
28 - 12.25 = 15.75
Add dollar sign. Final answer is $15.75
Answer:
y=-1/2x+8
y=x-7
(10,3)
10 games played and 3 rides
Step-by-step explanation:
Determine the simple interest when: principal: $15,850 interest rate: 3.75%, time: 7 year
Step-by-step explanation:
principle (p) = $15,850rate (r) = 3.75%time (t) = 7 yearssimple interest = (p × r × t) ÷ 100 = (15850 × 3.75 × 7) ÷ 100 = 416,062.5 ÷ 100 = 4,160.625MARK ME AS BRAINLISTPLZ FOLLOW MEHelp pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
q=6 and r=7 look at pic for work
Answer:
It's q = 6 and r = 7
Step-by-step explanation:
Hope this helps and have a great day (^w^)
Also Hi B
Sea un cuadrado de 2 pulgadas de lado uniendo los puntos medios se obtiene otro cuadrado inscrito en el anterior si repetimos este proceso obtenemos una progresión de infinitos cuadrado comprobar que la área de los infinitos cuadrados forman una progresión geométrica y calcula la suma de todas las áreas
Answer:
1) La serie geométrica formada es
4, 2, 1,..., ∞
2) La suma al infinito de las áreas de los cuadrados es 8 in.²
Step-by-step explanation:
1) El área del primer cuadrado, a₁ = 2² = 4 pulgadas²
El área del siguiente cuadrado, a₂ = (√ (1² + 1²)) ² = (√2) ² = 2 pulg²
El área del siguiente cuadrado, a₃ = ((√ (2) / 2) ² + (√ (2) / 2) ²) = 1 pulg²
Por lo tanto, la razón común, r = a₂ / a₁ = 2/4 = a₃ / a₂ = 1/2
Las áreas de los cuadrados progresivos forman una progresión geométrica como sigue;
4, 4×(1/2), 4 ×(1/2)²,...,4×[tex](1/2)^{\infty}[/tex]
De donde obtenemos la serie geométrica formada de la siguiente manera;
4, 2, 1,..., ∞
2) La suma de 'n' términos de una progresión geométrica hasta el infinito para -1 <r <1 se da como sigue;
[tex]S_{\infty} = \dfrac{a}{1 - r}[/tex]
Por lo tanto, la suma de las áreas de los cuadrados hasta el infinito se obtiene sustituyendo los valores de 'a' y 'r' en la ecuación anterior de la siguiente manera;
[tex]La \ suma \ al \ infinito \ del \ cuadrado \ S_{\infty} = \dfrac{4 \ in.^2}{1 - \dfrac{1}{2} } = \dfrac{4 \ in.^2}{\left(\dfrac{1}{2} \right)} = 2 \times 4 \ in.^2= 8 \ in.^2[/tex]
La suma al infinito de las áreas de los cuadrados, [tex]S_{\infty}[/tex] = 8 in.²
polynomial for 4c+4d
Answer:
4(c+d)
Step-by-step explanation:
PLEASE HELP ME im not sure which ones i think its the first one but not sure about the rest
Answer:
It’s the first and the third one
Step-by-step explanation:
205/2 Setup I know the answer is 102
The cost of 2 hamburgers, french fries, and a soft drink at a fast food restaurant would
be about
a) $15.
b) $50.
c) $5.
Answer:
a) $15
solving this realistically no fast food place would be above 50 or below 5 (unless is a discount thing)
George spent exactly one dollar for some 5 cent stamps and some
thirteen cent stamps. How many 5 cent stamps did he buy?
Answer:
He bought 3.3 cents
Step-by-step explanation:
I hope I am right
Convert units to solve. (CC.6.RP.3d)
3. A professional football field is 160 feet wide.
What is the width of the field in yards?
Answer:
53.3 yards
Step-by-step explanation:
you just have to divide 160 by 3 to get it in yards
Sarah is making a pizza the diameter of the pizza is 8 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth
Answer:
Step-by-step explanation:
C=2πr
C=2π4
*If the diameter is 8, then the radius is 4.
C=25.1
hope its correct and hope it helps
I need this please help me
Find The values of ( d ,f ,e ) angles
Answer:
angle d =35, e=55, f=55.............
40 points please help me due in 50 minutes!
(2x^3-4x^2+7x-3)/(2x^2 +5)
Divide using long division
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer:
Sorry this is so late but for those that need it. The answer is 4.8
Step-by-step explanation:
In order to get this i set up my equation like so.
0.60*(0.5*16)=y
Why I did it like this is because for every 0.5 thats half a mile so 8 miles times 2 to get the half miles was 16.
After figuring out that i started my equation and got
0.60*8=y
Then to finish it and get $4.8 Donated.
Hope this helped
A brainliest is always appreciated.
9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the
pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how
far is the whale from his eyes?
Answer:
90.67feet
Step-by-step explanation:
Given that α = 20°
Tan α = opp/adj......... 1
Opp = 33feet
Adj = x
Substitute the values into equation 1
Tan 20° = 33feet/adj
0.36397 = 33/adj
0.36397×adj = 33
Adj = 33/0.36397
Adj = 90.666
Recall, adj = x = 90.666feet
x = 90.67feet
Hence, the whale is 90.67feet far from the eyes
