Answer:
1] Two consecutive multiples = 50,55. 2] Sahil , Mother current age = 13,42 3] Length of rectangle = 4.5
Step-by-step explanation:
1] Let one multiple of 5 be = n. As there are two consecutive multiples, other multiple = n + 1. Given : sum of two consecutive multiples of 5 is 55
So, 5n + 5(n+1) = 55
5n + 5n + 5 = 55 ; 10n + 5 = 55 ; 10n = 50 - 5 = 50 ; n = 50 / 10 ; n = 5
n {One multiple} = 5 ; Other multiple {n+1} = 5 + 1 = 6
2] Let present age of Sahil be = x. So, present age of Sahil mother = 3x
5 years hence : (x+5) + (3x+5) = 66 {Equation 1}
Solving Eq 1} : x + 5 + 3x + 5 = 66 ; 4x + 10 = 66 ; 4x = 66 - 10 ; 4x = 56
x = 56/4 ; x = 14 {Sahil Current Age}. Mother current age = 3x = 3 x 14 = 42
3] Perimeter of rectangle = 2 (Length + Width). Perimeter = 13 , Width = 2.
So, 13 = 2 (L +2) ; 13 = 2L + 4 ; 2L = 13 - 4 = 9 ; L = 9/2 ; Length = 4.5
please help!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given sin 0 = 5/6, find cos 0.
cos 0 =
Simplify the fraction.
Answer:
cos θ = [tex]\frac{\sqrt{11} }{6}[/tex]
Step-by-step explanation:
Substitute sin θ = [tex]\frac{5}{6}[/tex] into the identity
( [tex]\frac{5}{6}[/tex] )² + (cos θ )² = 1
[tex]\frac{25}{36}[/tex] + (cos θ )² = 1
(cos θ )² = 1 - [tex]\frac{25}{36}[/tex] = [tex]\frac{11}{36}[/tex] ( take the square root of both sides )
cos θ = [tex]\sqrt{\frac{11}{36} }[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex]
15 POINTS HELP PLEASE
Answer:
C. 103/1/8
Step-by-step explanation:
14a+16= what is the answer
find the length of arc AB for each circle.
Answer:
see explanation
Step-by-step explanation:
The length of the arc is calculated as
AB = circumference of circle × fraction of circle
(11)
AB = 2πr × [tex]\frac{90}{360}[/tex]
= 2π × 7 × [tex]\frac{9}{36}[/tex]
= 14π × [tex]\frac{1}{4}[/tex]
= [tex]\frac{7}{2}[/tex] π in
(12)
AB = 2πr × [tex]\frac{135}{360}[/tex] ( r = 20 ÷ 2 = 10 )
= 2π × 10 × [tex]\frac{3}{8}[/tex]
= 20π × [tex]\frac{3}{8}[/tex]
= [tex]\frac{60}{8}[/tex] π
= [tex]\frac{15}{2}[/tex] π cm
solve each equation using the substitution method.
42=3p
Answer:
14
Step-by-step explanation:
42=3p
42/3=3p/3
14=p
State whether the Standardized test statistic T indicates that you should reject the null hypothesis explain a)t=-2.146 b)t=2.014 c)t=2.128 d)t=-2.146
Answer:
[tex](a)\ t = -2.146[/tex]
The null hypothesis is rejected
[tex](b)\ t = 2.014[/tex]
The null hypothesis is accepted
[tex](c)\ t = 2.128[/tex]
The null hypothesis is accepted
[tex](d)\ t = -2.146[/tex]
The null hypothesis is rejected
Step-by-step explanation:
Given
[Missing from the question]
[tex]\alpha = -1.001[/tex] --- critical value
Left tailed test
Required
State what the standardized test statistics indicates
Since it is a left-tailed test, the null hypothesis will be rejected if the standardized test statistics less than or equal to the critical value
Using the above rule, we have:
[tex](a)\ t = -2.146[/tex]
Compare t and [tex]\alpha[/tex]
[tex]-2.146 < -1.001[/tex]
The null hypothesis is rejected
[tex](b)\ t = 2.014[/tex]
Compare t and [tex]\alpha[/tex]
[tex]2.014> -1.001[/tex]
The null hypothesis is accepted
[tex](c)\ t = 2.128[/tex]
Compare t and [tex]\alpha[/tex]
[tex]2.128> -1.001[/tex]
The null hypothesis is accepted
[tex](d)\ t = -2.146[/tex]
Compare t and [tex]\alpha[/tex]
[tex]-2.146 < -1.001[/tex]
The null hypothesis is rejected
ace or expert pls help is this right
In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?
____________________Solution :-Given Information :-Individuals who rode both roller coaster and Ferris Wheel ➢ 46Individuals who rode Ferris wheel but not the roller coaster ➢28Individuals who rode roller coaster but not the Ferris wheel ➢24 Individuals who neither rode roller coaster nor the Ferris wheel ➢ 14Total Number of Individuals who rode roller coaster ➢ 70Total Number of Individuals who rode the Ferris Wheel ➢74Total Number of Individuals who did not ride roller coaster ➢ 42Total Number of Individuals who did not ride the Ferris wheel ➢38Total Number of Individuals who went to amusement park ➢ 112To Find :-Percentage of Individuals who rode Ferris wheel but not the roller coaster. Formula Used :-Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]
Calculation :-Substituting the values given in the formula, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]
Now, to convert any fraction into percentage, We multiply it by 100, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]
____________________Final Answer :-Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = 25%Therefore, option A. 25% is the correct answer.____________________Note :-Please scroll from right to left to see the whole solution.What type of triangle is pictured?
A. Right and scalene
B. Obtuse and scalene
C. Acute and isosceles
D. RIght and isosceles
Answer:
I think it is either A or D
please explain
solve equation
|2x+1|=-13
a) no solution
b) x= -7
c) x= -14,12
d) x= -7,6
Answer:
a) no solution
Step-by-step explanation:
there is no solution because absolute values can never equal a negative
PLEASE I NEED HELP!! NO LINKS!!
Answer:
m<N = 32°
m(NQ) = 106°
Step-by-step explanation:
Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)
<N is an inscribed angle
It's intercepted arc = arc MP = 64°
Therefore,
m<N = ½(64°)
m<N = 32°
m<P = ½(m(NQ)) (inscribed angle theorem)
53° = ½(m(NQ))
Multiply both sides by 2
2*53° = m(NQ)
106° = m(NQ)
m(NQ) = 106°
Helpppppppppppppppp:(
The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. Find the numbers.
Answer:
1 and 0
Step-by-step explanation:
Let's call the smaller number x and the larger number y.
This means 5y+2x=5.
Also, 4y-x=4.
This is a system of equations. There are two main ways two solve this.
Method 1: Substitution
5y+2x=5
4y-x=4
Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.
I will take 4y-x=4 and solve for x.
4y=4+x
x=4y-4
Then substitute for x in the other equation and solve for y.
5y+2x=5
5y+2(4y-4)=5
5y+8y-8=5
13y=13
y=1
Now we can go back to our equation for x and substitute for y.
x=4y-4
x=4(1)-4=0
y, the larger number, is 1 and
x, the smaller number, is 0
Method 2: Elimination
5y+2x=5
4y-x=4
Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.
If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.
4y-x=4
becomes
8y-2x=8
Now we have 5y+2x=5 and 8y-2x=8.
Add the sides of both equations to cancel the x values.
5y+2x+8y-2x=5+8
13y=13
y=1
like last time, we can substitute for y in any of the original equations to get x.
5y+2x=5
5(1)+2x=5
5+2x=5
2x=0
x=0
y, the larger number, is 1 and
x, the smaller number, is 0
Construct a circle and divide it into six congruent arcs. Inscribe an equilateral triangle. Draw diameters from each vertex of the triangle > Inscribe a circle in the triangle. (Hint: the inscribed circle will have the same center as the original circle.) ► Inscribe an equilateral triangle in the second (smaller) circle, with endpoints on the diameters previously drawn. Shade to highlight the pattern.
Calculate the volume of a cylinder of diameter 6cm and height 10cm
Answer:
565.2
Step-by-step explanation:
565.2
please answer ill give brainliest for best answer!!
Please help me with this question
Answer:
I think B .......................................
¿Cómo se suprimen los paréntesis en el cálculo (3 + 8) . 2 + 6 . (5 + 4), sin resolver las operaciones que ellos encierran? Aplicando la propiedad conmutativa Aplicando la propiedad asociativa Aplicando la propiedad distributiva Ninguna es correcta
Respuesta:
Aplicando la propiedad distributiva
Explicación paso a paso:
Sin resolver la operación contenida en el paréntesis, podríamos suprimir el paréntesis usando la propiedad distributiva, de modo que el factor fuera del paréntesis se use para multiplicar cada factor entre paréntesis:
(3 + 8). 2 + 6. (5 + 4)
Sin tener que ocuparnos de la operación de suma entre paréntesis, podemos extraer ambos valores mediante
2 * 3 + 2 * 8 + 6 * 5 + 6 * 4
6 + 16 + 30 + 24
= 76
HELP I need the know if it's going across the y or going across the x don't send no FILE ONLY ANSWER IF YOU REALLY KNOW question 3, 5 is what I need help on btw !!
Answer:
Step-by-step explanation:
Question 3 Reflects over x acis
Question 5 reflects over y axis
Answer:
i think 3 is reflected across the x and 5 is reflected across the y axis
3x+2(4x - 4) =3
[tex]3x + 2(4x - 4) = 3[/tex]
At the Charming Chair Factory, they make 20 chairs
per day when 5 workers are on duty. If they need to
make ioo chairs in one day, what equation should
they use to figure out how many workers to schedule?
Answer:
100÷(20÷5)
Step-by-step explanation:
first find out how many chairs each worker made
20÷5=4
then divide 100 by 4 and that will give you 25
they would need 25 workers the equation that they should use is
100÷(20÷5)
Find the area of the rhombus
Answer: Area= the surface included within a set of lines the number of unit squares equal in measure to the surface
the scope of a concept, operation, or activity : field
areaway
Step-by-step explanation:
answer:
60 in²
step-by-step explanation:
the formula for the area of a rhombus-
a= p*q/2
=15*8/2
=60 in ²
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
2. I think of a number and I reduce it by 60%. Then I add 60 to the number. The number I end
up with is 240. What was my starting number?
9
GUEST, GUEST
A rental car company has a linear pricing plan. The total cost, C, to rent a car for 2, 4, 6, and 10 days, d, is shown.
Days Total Cost
(d) (C)
2. $105
4 $195
6 $285
10 $465
A. What is the daily rate for the pricing plan?
B. Write an equation that represents the pricing plan.
Activate Windows
Go to Sunos toctivate Window
A.
10:53 AM
4/16/2021
SA
B.
O
Answer:
$45
y = 45x + 15
Step-by-step explanation:
Given :
Days Total Cost
(d) (C)
2. $105
4 $195
6 $285
10 $465
The daily rate is the slope :
Slope = Rise / Run
Slope = (y2 - y1) / (x2 - x1)
Slope = (465 - 105) / (10 - 2)
Slope = 360 / 8
Slope = 45
Daily rate = $45
Using the slope intercept relation :
y = mx + c
m = slope, c = intercept
105 = 45x + c
105 = 45(2) + c
105 = 90 + c
105 - 90 = c
15 = c
Pricing plan :
y = 45x + 15
Answer is 45 because if you divide 90/2 it equal 45
C=45d+15
The graph for the equation Y = -X+2 is shown below. If another equation is graphed so that the system has an infinite number of solutions, which equation could that be
1. y=-2(x-1)
2.y=-(x+2)
3.y=-1/4(4x-8)
4.y=-1/2(x+4)
Answer:
3.
Step-by-step explanation:
X+2=-1/4(4x-8)
x+2=-x+2
0=0
ILL MARK BRAINLEIST.
Find the Pattern If the pattern continued, how many orange blocks would be in the next figure? Can you write a linear function (y = mx + b) that gives the number of blocks for any figure?
Answer:
Part A
aₙ = 5 + (n - 1)·4
Part B
y = 4·x + 1
Step-by-step explanation:
Part A
The number of orange blocks in Figure 1 = 5
The number of orange blocks in Figure 2 = 9
The number of orange blocks in Figure 3 = 13
Therefore, we get;
5, 9, 13, ... with increments of 4
The first term, a = 5
The common difference, d = 4
The sequence is in the form of an Arithmetic Progression, therefore, we have;
aₙ = 5 + (n - 1)·4
Where;
n = The Figure number
When n = 3, we have;
a₃ = 5 + (3 - 1) × 4 = 12 orange blocks as in the diagram in the question
Part B
To express the number of blocks using the linear function, y = m·x + b, we have;
Let 'x', represent the number of each figure, let 'y' represent the total number of blocks in each figure, let 'd' represent the initial amount of blocks present when x = 0, and let 'm' represent the rate of change of 'y' with each change in 'x'
We note that the rate of change the total number of blocks for each increase in figure number is 4, therefore, we have;
The rate of change, m = 4
∴ y = 4·x + d
When x = 1, y = 5, we get;
5 = 4 × 1 + d
∴ d = 5 - 4 = 1
d = 1
The linear equation that gives the number of blocks is therefore;
y = 4·x + 1.
PLEASE HELP WITH ALL QUESTIONS WORTH ALOT OF POINTS
Answer:
1) -311
2) 26 p^6 h^4
3) 18 x^2 y^5 z^7
4) -20 c^4
is correct answer.
i guess you dont know this '' ^ '' . this mean take that number in power,
All the best
Step-by-step explanation:
Over the weekend alex spent 5 2/3 hours total studying , if he spent 2 2/8 hours studying on saturday how long did he study on sunday
Answer: Alex spent 3 5/12hours studying on Sunday
Step-by-step explanation:
total hours spent studying in the weekend =5 2/3 hour
Hours spent on saturday =2 2/8
Hours spent on sunday =total hours spent studying in the weekend - Hours spent on saturday=
=5 2/3 - 2 2/8
=3 16-6/24
=3 10/24
=3 5/12
What is capitol of Poland
Answer: Warsaw
Step-by-step explanation:
Warsaw is the capital and largest city of Poland. It is located on the Vistula River, in east-central Poland, roughly 260 kilometres from the Baltic Sea and 300 kilometres from the Carpathian Mountains.
Calculate the average rate of change for the graphed sequence from n = 2 to n = 4.
(2 points)
Answer:
-3.3125[tex]\frac{-10.125-(-3.5)}{4-2} =\frac{-6.625}{2} = -3.3125[/tex]
Step-by-step explanation:
Average rate of change is the slope between two points.
Slope getween points [tex]\left(x_1,\,y_1\right)[/tex] and [tex]\left(x_2,\,y_2\right)[/tex] is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
Using the points (2, -3.5) and (4, -10.125), the slope is
Meir is planting grass seed. He has 5 1/2 small bags of seed. Each bag weighs 3/4 pound.
What is the total weight of the grass seed?
Answer:
The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds
Step-by-step explanation:
Given
Total bags of seeds [tex]= 5\frac{1}{2}[/tex]
Weight of each bag [tex]= \frac{3}{4}[/tex] Pounds
Total weight of the grass seed = Total number of bags of seeds * Weight of each bag
Total weight of the grass seed =
[tex]5\frac{1}{2} *\frac{3}{4} \\=\frac{11}{2}*\frac{3}{4}\\=\frac{33}{8}[/tex]Pounds
The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds
Answer:
33/8= 4 1/8 so its B.
Step-by-step explanation: