The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of the rectangle.
Step-by-step explanation:
Let the width=x
Length =6x-4
As we know that in a rectangle
[tex]{\boxed{\sf Area=LB}}[/tex]
Substitute the values[tex]\hookrightarrow\sf x (6x-4)=20 [/tex]
[tex]\hookrightarrow\sf 6x^2-4x=20 [/tex]
[tex]\hookrightarrow\sf 6x^2-4x-20=0 [/tex]
Here a=6, b=-4, c=-20.use quadratic formula[tex]\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}[/tex]
Franklin made $165,000 for the tax year
2017. How much did he pay in FICA taxes ?
Answer: $10,278.90
Step-by-step explanation:
FICA taxes comprise of both the Social Security tax and the Medicare tax rate which in 2017 were 6.2% and 1.45% of income respectively.
The Social security portion is subject to a limit of $127,200 in income but there is no limit for the Medicare tax.
Franklin FICA = (127,200 * 6.2%) + (165,000 * 1.45%)
= 7,886.40 + 2,392.50
= $10,278.90
Please help ASAP!!!!
Answer:
See attached pdf for answer
Step-by-step explanation:
The speed limit on a highway is 80 miles per hour. How many miles per minute is this?
Answer:
1.3333
Step-by-step explanation:
1.3333
Conversion Table
miles per hour to miles per minute
mph mi/min
80 1.3333
90 1.5
100 1.6667
The speed of this:
70 miles per hour
1 hour = 60 minutes
70/60 = 7/6
around 1 1/6 mile per minute
hope this helps
b. Convert years to days.
4 years =
.xl
year)
days)
Il
days
Answer:
1460 Days
Step-by-step explanation:
365*4
Answer:
1460 days.
Step-by-step explanation:
The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in millions and t represents the number of years since 1990. Find the average rate of change in the country's population between 1990 and 2010. Round to 1 decimal place.
Answer:
[tex]\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20} = 2.26[/tex]
Step-by-step explanation:
as with all functions f(t), the average rate of change on [a.b] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Noah has $5. Elena has 40% as much as Noah. How much does Elena have?
Answer:
Step-by-step explanation:
2 dollars
Answer:
$2.00
Step-by-step explanation:
Jane works at a jewelry store and receives a 35% commission for everything she sells. Her sales this week were $5,500. How much commission will she make?
Step-by-step explanation:
5500×35=192500
/100=1925 $
Quamain is selling chocolate bars for a fundraiser. In his box, he had 12 milk chocolate bars, 8 caramel bars, 9 almond chocolate bars, and 6 dark chocolate bars. What is the ratio of milk chocolate to almond chocolate bars in his box?
4:3
Answer: 12:9
Step-by-step explanation:
He had 12 milk chocolate bars and 9 almond chocolate bars so the answer is 12:9
And it is also 12:9 is because they ask milk chocolate TO almond chocolate .
How do I factor the quadratic 45x^2+46x-63 ?
Answer:(9x-7) (5x+9)
I need help but I think its a help
Answer:
Yes only A
Step-by-step explanation:
I really need help with this
"Simplify this equation."
Answer:
2nd one
Step-by-step explanation:
The Fruity Tooty company claims that the population proportion for each of its five flavors is exactly 20%. Jane counts 92 red candies in a 400-count sample.
what is the value of the z-test statistic? Answer choices are rounded to the hundredths place.
Answer:
86.96%
Step-by-step explanation:
s2 = a2 / n
a2 = 4.34782608696 if just 1/1 flavour 400/400 was the case.
We are asked to account for 5 flavours 4.34782608696/5
Z test was 0.86956521739 for red candies
s2 = a2/n
a2 = 0.86956521739/1
s2 = 0.86956521739/1
s2 = 0.87 hundredth place
Percentage 0.86956521739 x 100 = 86.96% to 100th place
I need help with this question will mark brainliest
The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers. s = s equals StartFraction L A Over pi r EndFraction. s = s equals StartFraction pi r Over L A EndFraction. s = LAr r = r equals StartFraction L A Over pi s EndFraction. r = LAs
Complete Question
The formula for the lateral area of a right cone is LA = πrs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers.
a) s = s equals StartFraction L A Over pi r EndFraction.
b) s = s equals StartFraction pi r Over L A EndFraction.
c) s = LAr
d) r = r equals StartFraction L A Over pi s EndFraction.
e) r = LAs
Answer:
a) s equals StartFraction L A Over pi r EndFraction.
d) r = r equals StartFraction L A Over pi s EndFraction.
Step-by-step explanation:
The formula for the Lateral Surface Area of a right cone is given in the question as:
LA = πrs
Where
r is the radius of the base and s is the slant height of the cone.
From the options given,
We can make s the subject of the formula.
Hence:
Making s the subject of the formula
LA = πrs
Divide both sides by πr
s = LA/πr
Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.
Step 2
Making r the subject of the Formula
LA = πrs
Divide both sides by πs
r = LA/πs
Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.
Answer:
The answer is A and D.
Step-by-step explanation:
I took the quiz !
If y=-7 when = -21, determine x when y= 9
Correct Question :-
If y = - 7 & x = - 21 , determine x when y = 9Given :-
y = - 7x = - 21We need to find :-
When y = 9 find xSolution :-
Using proportion ,
- 7 : - 21 : : 9 : xBy means & extremes ,
=> - 7x = - 21 × 9
=> x = ( - 21 × 9 ) / - 7
=> x = 3 × 9
=> x = 27
Hence , when y = 9 → x = 27
please fast tell me
Answer:
1). Option (b)
2). Option (d)
3). Option (d)
Step-by-step explanation:
Question (1)
For Pythagoras triplet,
(Largest number)² = (Number 1)² + (Number 2)²
a). 5² = 5² + 2²
25 = 25 + 4
25 = 29
Not True.
b). 5² = 3² + 4²
25 = 9 + 16
25 = 25
True.
c). 10² = 1² + 5²
100 = 1 + 25
100 = 26
Not true.
d). 2² = 2²+ 2²
4 = 4 + 4
4 = 8
Not true.
Therefore, Option (b) is correct.
Question (2)
1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, Option (d) is the answer.
Question (3)
Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.
a). 6 + 3 > 2 ⇒ 9 > 2 [True]
6 + 2 > 3 ⇒ 8 > 3 [True]
2 + 3 > 6 ⇒ 5 > 6 [False]
Triangle is not possible.
b). 2 + 8 > 3 → 10 > 3 [True]
8 + 3 > 2 → 11 > 2 [True]
2 + 3 > 8 → 5 > 8 [False]
Triangle is not possible.
c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
2.5 + 2.5 > 5.5 → 5 > 5.5 [False]
Triangle is not possible.
d). 3 + 6 > 7 → 9 > 7 [True]
3 + 7 > 6 → 10 > 6 [True]
7 + 6 > 3 → 13 > 3 [True]
These are the sides of a triangle.
Therefore, Option D is the answer.
Can someone help with this Problem? It is about Evaluating expressions using properties of exponents. Would help a lot. Attachment below
9514 1404 393
Answer:
1/192
Step-by-step explanation:
The properties of exponents useful here are ...
a^0 = 1 . . . . for a ≠ 0
a^-b = 1/a^b
__
[tex]4^{-2}\cdot 12^{-1}\cdot 12^0=\dfrac{1}{4^2}\cdot\dfrac{1}{12}\cdot 1\\\\=\dfrac{1}{16\cdot12}=\boxed{\dfrac{1}{192}}[/tex]
hi, please help me with this thank you!
Lisa is playing a video game in which she takes care of cats and dogs. She takes care of 4 cats for every 1 dog. If Lisa takes care of 12 cats in the game, how many animals dose she take care of altogether?
Which equation should you solve to find x?
Question Attached below
Answer:
third and fifth
Step-by-step explanation:
instant help guys please,I need this in about ten minutes.
please help I'll give brainiest to correct answer
3*9^1+X=27^-x.find x
Answer:
x=0
Step-by-step explanation:
3*9+x=27-x [9^1=9]
27+x=27-x
27-27= x+x
2x=0
x=0
A rectangular based prism has a length of
23cm, a width of 28cm, and a height of 11m.
Find its volume.
Answer:
7,084 cm^3
Step-by-step explanation:
To calculate volume you have to take all three measurements and multiply them as so: x times y times z. In this case x = 23 y = 28 and z = 11. When you multiply these 3 numbers together you will get 7,048 cm^3.
Answer:
7,084 cubic cm
Step-by-step explanation:
V = 23 x 28 x 11
Y’all know this anything about this?
We are given:
Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10To Find: ∠E
Concept Used:
Adjacent angles of a Parallelogram are SupplementaryFinding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
Casey walked 2.1 miles to the grocery store. She then walked 0.5 miles to the post office and 0.8 miles to work. How far did she walk in total? Convert your answer into kilometers.
Answer:
3.4 miles and 5.472 kilometers
The accompanying table shows the number of cars of two different brands sold at a dealership during a certain month. The number of coupes and sedans is also shown.
Vehicle Brand 1 Brand 2 Total
Coupe
100
240
340
Sedan
200
85
285
Total
300
325
625
If one of these vehicles is selected at random, determine the probability that it was a coupe, given that the vehicle selected was Brand 1.
The probability that a vehicle was a coupe, given that it was Brand 1.is
(Round to four decimal places as needed.)
Answer:
0.5440
Step-by-step explanation:
Given that ;
Brand 1 : Couple Brand 2: Sedan Total
100 200 300
240 85 325
Total : 340 285 625
The probability that a vehicle selected at random is a couple given that it was brand 1 will be;
The probability that a selected vehicle is a couple is 340/625
=0.5440
Evaluate the expression for j = 0 and k = 11.
jk =
Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
What is the weight of each portion?
*
Answer: The answer should be 0.125
Step-by-step explanation:
Find the sales tax for three CDs, if each CD is $14.29 and the sales tax is 7.25%. What is the answer?
A. $3.34
B. $3.86
C. $3.11
D. $3.08
Answer:
C
Step-by-step explanation: