Given:
The total revenue of this year = $14,600
This year revenue is 27% less than their total revenue in the previous year.
To find:
The total revenue in the previous year.
Solution:
Let x be the total revenue of the previous year.
This year revenue is 27% less than their total revenue the previous year.
Revenue in this year = Revenue in previous year - 27% of it
[tex]14600=x-\dfrac{27}{100}x[/tex]
[tex]14600=x-0.27x[/tex]
[tex]14600=0.73x[/tex]
Divide both sides by 0.73.
[tex]\dfrac{14600}{0.73}=x[/tex]
[tex]20,000=x[/tex]
Therefore, the total revenue in the previous year is $20,000.
Find the value of x. Round to the nearest tenth.
Answer:
x=13.584
Step-by-step explanation:
[tex] \frac{x}{ \sin(51) } = \frac{11}{ \sin(39) } \\ [/tex]
[tex]x = 13.584[/tex]
[tex]180 - 39 - 90 = 51[/tex]
If p(x) = (2x – 7)(7x + 2), what are the zeros of the polynomial?
Answer:
x=7/2 and x=-2/7
Step-by-step explanation:
By the Zero Product Property, we will set both expressions equal to 0 and solve:
p(x) = (2x-7)(7x+2)
0 = (2x-7)(7x+2)
2x-7=0 and 7x+2=0
2x=7 and 7x=-2
x=7/2 and x=-2/7
The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
p(x) = (2x – 7)(7x + 2)
Then the zeroes of the polynomial will be
The factor of the polynomial is already given. Then the zeroes will be
x = 7/2, -2/7
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Step-by-step explanation:
Equation: (3x+7) + (10x+17) = 180
*These are consecutive interior angles and they add to 180 degrees
1.) Add like terms
13x + 24 = 180
2.) Subtract 24 from both sides
13x = 156
3.) Divide each side by 13
x = 12
*Substitute x in both expressions to get angle measures
Value of x: 12
3(12)+7 = 36+7 = 43
10(12)+17 = 120+17 = 137
*Check 43+137 = 180
Angle Measures: 1st angle: 43 degrees
2nd angle = 137 degrees
If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by C22 is ?
In a matrix with components aij, which represents unit sales for july, the maximum possible value that a31 can have is ?
Answer:
[tex]C_{22} = 389[/tex]
[tex]Max(A_{31}) =376[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): The entry C22
First, matrix C represents the inventory at the end of July.
The entry of C is calculated as:
[tex]C = Inventory - Sales[/tex]
i.e.
[tex]C = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right] - \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]
[tex]C = \left[\begin{array}{ccc}543-102&356-78&643-97\\364-98&476-87&419-59\\376-54&903-89&409-79\end{array}\right][/tex]
[tex]C = \left[\begin{array}{ccc}441&278&546\\266&389&360\\322&814&330\end{array}\right][/tex]
Item C22 means the entry at the second row and the second column.
From the matrix
[tex]C_{22} = 389[/tex]
Solving (b): The maximum A31 possible.
From the given data, we have:
[tex]Inventory = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right][/tex]
[tex]Unit\ Sales = \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]
From the matrices above.
A31 means entry at the 3rd row and 1st column.
So, the possible values of A31 are:
[tex]A_{31} = 376[/tex]
and
[tex]A_{31} = 54[/tex]
By comparison, 376 > 54
So:
[tex]Max(A_{31}) =376[/tex]
Which expressions are equivalent to 6 + 12x?
Answer:
Expressions A, C, D are equivalent
Step-by-step explanation:
Equivalent expressions:
Two expressions are equivalent if they give the same result. So
Option A:
3(2 + 4x) =3*2 + 3*4x = 6 + 12x
So equivalent
Option B:
3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent
Option C:
5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.
Equal, so equivalent
Option D:
7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x
Equal, so equivalent.
Option E:
7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x
Different, so not equivalent.
what does (b + 3) + 6= ?
Answer:
(b + 3) + 6 = b + 9
Explanation:
The order in which you add numbers together doesn't matter.
Please help I’ll mark you as brainliest if correct!
Answer:
4 feet
Step-by-step explanation:
MN/RT=MO/RS
6/3=8/RS
6RS=24
RS=24/6
RS=4
SORRY IF LATE AND WRONG!!!
What is the area of the shaded segment shown? Round your answer to the nearest tenth please help me solve this
Answer:
0.3 in²
Step-by-step explanation:
This picture is NOT to scale. That 20° Angle looks more like 70°.
Area of the circle = 81pi = 254.469
20/360 of the circle = 1/18 = 14.137
Area of triangle = 13.851
14.137-13.851= 0.3 in²
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will.the job take
Answer: 5
Step-by-step explanation:
Please help I forgot how to do this
Answer:
56.
Step-by-step explanation:
Formula for solving a triangle is 1/2 * base * height.
How much money is needed to buy one fourths of a pound of butter at $.92 a pound 4 pounds of sugar at $.24 a pound and six eggs at $.72 a dozen
Answer:
$1.55
Step-by-step explanation:
(0.92/4) + (4 x 0.24) + (0.72/2) = 1.55
Stacy Arrington is paid $.73 for sewing a
jacket collar, $.86 for a sleeve with cuffs,
and $.94 for a lapel. One week she sewed
318 jacket collars, 112 sleeves with cuffs,
and 37 lapels. Find her gross earnings.
Answer:
Her gross earnings for that week were $ 363.24.
Step-by-step explanation:
Since Stacy Arrington is paid $ 0.73 for sewing a jacket collar, $ 0.86 for a sleeve with cuffs, and $ 0.94 for a lapel, and one week she sewed 318 jacket collars, 112 sleeves with cuffs, and 37 lapels, to find her gross earnings you must perform the following calculations:
(318 x 0.73) + (112 x 0.86) + (37 x 0.94) = X
232.14 + 96.32 + 34.78 = X
363.24 = X
Therefore, her gross earnings for that week were $ 363.24.
Khan academy pls help!
Answer:
The answer is b
Step-by-step explanation:
Just really need a answer to this Savvas question!
Answer:
Solution given:
radius=r=2cm
height=h=9cm
Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³
The required volume is 36π0r 113.1cm³
What is the area of this circle in square inches? Use 3.14 for n. Round your answer to the nearest tenth.
the radio is 14
help pleasee
Answer: 615.4
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
if the radius is 14
[tex]A=\pi 14^{2} \\A=196\pi \\A=196(3.14)\\A=615.44\\[/tex]
Answer:
615.4
Step-by-step explanation:
Area= 3.14x14²
Area= 615.4
Hope this helps!! have an Amazing day!!
Alexis has 27.5 ounces of beads. How many necklaces can she make if each one uses 2.5 ounces?
Answer:
11
Step-by-step explanation:
27.5/2.5
Simplify: -4g(8g + 5)
Answer:
−32^2−20
Step-by-step explanation:
equivalent equation for 3:7
Answer:
Hay fracciones infinitas equivalentes a 3
7
. Vea algunos ejemplos:
3
7
, 6
14
, 9
21
, 12
28
, 15
35
, 18
42
, 21
49
, 24
56
, 27
63
, 30
70
, 33
77
, 36
84
, 39
91
, 42
98
, 45
105
, 48
112
, 51
119
, 54
126
, 57
133
, 60
140
...
Lista más fácil de copiar y pegar:
3/7, 6/14, 9/21, 12/28, 15/35, 18/42, 21/49, 24/56, 27/63, 30/70, 33/77, 36/84, 39/91, 42/98, 45/105, 48/112, 51/119, 54/126, 57/133, 60/140 ...
Step-by-step explanation:
Answer: Hello, There! your Answer is Below
6:14
Step-by-step explanation:
Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
Hope this Helps!!
Plz explain your Question Better.
A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
a. Trueb. False
Answer:
a. True
Step-by-step explanation:
By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.
In the given question the null hypothesis is
H0: u ≤ 1 hour and Ha: u > 1 hour
So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
The given statement is true.
Find the slope of each line (no links I’ll report)
Answer:
Slope = ⁵/7
Step-by-step explanation:
Slope (m) = change in y / change in x
Using two points on the graph, (-4, -4) and (3, 1),
Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7
Slope (m) of the line = 5/7
PLS HELP!!!
PLSSSSS!!!!
Answer: x=12dm
Step-by-step explanation:
c=13 means hypotenous
a=5 means altitude
b=x=? means base
By pythagorean theorem
c^2=a^2+b^2
(13)^2=(5)^2+(x)^2
169=25+x^2
x^2=169-25
x^2=144
Taking sqrt on both sides
x=12
Polygon G H I J K has 5 sides.
Which statements are true about the regular polygon? Select three options.
The sum of the measures of the interior angles is 900°.
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
The sum of the measures of the interior angles is 180(5 – 2)°.
A regular polygon has equal side lengths and congruent interior angles.
The sum of the interior angles of any regular polygon is determined using the formula: (n - 2)180, where n is the number of sides.
Thus, given polygon GHIJK has 5 sides, we would have the following:
The polygon is a regular pentagon.
Sum of all its interior angles = (5 - 2)180 = 540°.
Each interior angle = 540/5 = 108°
Therefore, the statement that is true about the regular polygon are:
Each interior angle measures 108°.All its angles are congruent.Sum of the measures of the interior angles is 180(5 – 2)°Learn more about regular polygon on:
https://brainly.com/question/1592456
Answer: b, c, e
Step-by-step explanation:
Ok. Keleiek 2/7=^++^*€€£|€|£|
Answer:
pardon?
Step-by-step explanation:
A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.
B.
The location of the scuba diver in relation to sea level was feet.
C.
The location of the scuba diver in relation to sea level was feet.
D.
The location of the scuba diver in relation to sea level was feet.
Answer:
A, B, C, and D
Step-by-step explanation:
all answer choices are the same
A triangle has angles measuring 108 and 24 degrees. What is the measure of the third angle?
What is the equivalent ratio??
Answer: 1:2
Since it is a half, we can simply use 1:2 since it is a one-to-two ratio.
Which of the following inequalities matches the graph?
A. -2x + 3y > 7
B. 2x - 3y < 7
C. -3x + 2y ≥ 7
D. 3x - 2y ≤ 7
Please help ASAP!!!!!
Answer:
First term of the given series = 4
The last term of the given series = 11
Step-by-step explanation:
Explanation
Given that the sum of the series
∑⁸ₙ₋₁ (n+3)
The [tex]n^{th}[/tex] term of the given sequence
aₙ = (n+3)
Put n=1
a₁ = 1+3 = 4
Put n=2
a₂ = 2+3 =5
Put n=3
a₃ = 3+3 = 6
Put n=4
a₄ = 4+3 =7
Put n=5
a₅ = 5+3 =8
Put n=6
a₆ = 6+3 =9
Put n=7
a₇ = 7+3 = 10
Put n=8
a₈ = 8+3 =11
The sequence of the given series
4,5,6,7,8,9,10,11
Final answer:-
First term of the given series = 4
The last term of the given series = 11
How much money is 15% of $14.90
SHOW YOUR WORK
Answer:
The final price will be $12.67
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 14.9 × 15/100
Discount = 14.9 x 0.15
You save = $2.24
Final Price = Original Price - Discount
Final Price = 14.9 - 2.235
Final Price = $12.67
hope this helps and is right. p.s. i really need brainliest :)
Gideon is filling a container with sand. How much sand will fit in the container?
2 cm
19 cm
11 cm
A 32 cm
B. 209 cm
c. 418 cm
D. 629 cm3
Answer:
C) 418 cm
Step-by-step explanation:
19*11=209
209*2=418
formula for volume= l*w*h
Can I please have Brainliest?