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Work Shown:
100 + 22x = 298
22x = 298-100 ........ subtracting 100 from both sides
22x = 198
x = 198/22 .............. dividing both sides by 22
x = 9
It will take 9 months for her to pay off the sofa.
She pays the original $100, and then on top of that, she pays an extra 22*x = 22*9 = 198 dollars since she paid $22 per month for 9 months. So this leads to 100+198 = 298 dollars total to help confirm our answer.
You deposit $1,000 Into a bank account. The account pays 3.75% annual Interest compounded monthly. Find the balance after 6 years. Round answers to two decimal places
A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?
Answer:
A
Step-by-step explanation:
Is the correct answer
The perimeter of the polygon after dilation = 27 unit
What is dilation factor?The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.
The perimeter of polygon = 18 unit,
Since, the scaling factor is 3/2,
So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,
Perimeter of polygon = 18×3/2
= 27 unit
The perimeter of the polygon after dilation = 27 unit
To know more about Dilation factor on:
https://brainly.com/question/13176891
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Please help!!!!!!! Tysm!!
Answer:
it's the first answer
Step-by-step explanation:
its 2/9 because 1/3 × 2/3 = 2/9
Answer:
It's C
Step-by-step explanation:
1/3 x 2/3 = 2/9, which simplifies back to 1/3
and 1/3=2/6
please help me plz im begging u
Answer:
B
Step-by-step explanation:
The vertex of this parabola is at (-3,-1). When the yvalue is 0, the x-value is 4. What is the coefficient of the squared term in the parabola's equation?
A. -7
B. -3
C. 3
D. 7
Answer:
d
Step-by-step explanation:
Help meee 50 points explain ALL OF IT if you really do it ill give you 200 points pls
Answer:
Explain what there is no picture
Step-by-step explanation:
Hai!
1. He is Considering 3 Themes: Space, Safari, and Comics.
2. He is Considering 2 Places: Skating rink and the Park.
3. He is Considering 3 Days of the week: Friday, Saturday, and Sunday.
4. EXAMPLE 1 One possibility is that Noah is considering is a party with a Safari Theme at the park on Friday EXAMPLE 2 One possibility is that Noah is considering is a party with a Comics Theme at the park on Saturday
5. There is 21 Possible Outcomes
Hope I helped. Best of luck! :3
A coffee table is on sale for 20% off the original price of $115.
If there is 7.5% sales tax, what is the final price of the coffee table?
Answer:
The answer would be around $98.90
Please help! Tysmm :))
Select all of the true statements.
A. 4.8 + (-8.9) = -13.7
B. 12+(-3) = -9
C. -9.-0.1 = 90
D. -4+ 4 =
Answer:
D
Step-by-step explanation:
-4+4=0 which is correct
4.8-8.9=-4.1 wrong
12-3=-9 wrong
-9-0.1=90 wrong
can someone please help me with this i need it badddd
Can someone pleaseee help me solve this
2x + 5y = -24
3x - 5y = 14
Solve by elimination
y and x
Answer:
x = -2
y = -4
Step-by-step explanation:
The way systems of equations work is that you have to substitute to solve for a variable *(only one of the 2 ways to figure this out)*
so, we will use addition property of equality in a form to add the two equations together, since +5y and -5y added together will cancel out.
that would leave
5x = -10
divide both sides by 5
x = -2
Now that we know x = -2, we can plug in -2 into one of the equations to find y.
2 ( -2) + 5y = -24
-4 + 5y = -24
-4 + 4 + 5y = -24 + 4
5y = -20
y = -4
x = -2
y = -4
please help it due in some time
Answer:
i think that it would be A.
Step-by-step explanation:
Find the distance AB. Give your answers correct to 1 decimal place
Answer:
AB= 8.1
AB=7.8
Step-by-step explanation:
[tex]ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } [/tex]
[tex] = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} [/tex]
[tex] = \sqrt{65} = 8.1[/tex]
[tex]ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } [/tex]
[tex]= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} [/tex]
[tex] = \sqrt{61} = 7.8[/tex]
Help lol I dunno what to do
Answer:
same
Step-by-step explanation:
Answer:
The answer is 9.2
Step-by-step explanation:
Write an expression for the description: the product of 3 and p subtracted from 6
Answer:
6 - 3p
Step-by-step explanation:
The word "product" indicates to multiply 3 and p, and "subtracted from" tells us to use subtraction.
Answer:
the sum of 6 6 66 and the product of 3 3 33 and d d dd".
Step-by-step explanation:
I need help answering b
The diagram should help
solve the matrix and prove that it is equal 0
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0
If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?
Answer:21.87
Step-by-step explanation:
196.83 divided by 9
Answer:
They each cost $21.87
Step-by-step explanation:
If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.
OMG I REALLY NEED SOME HELP! THIS IS DUE IN 3 MINUTES!
Step-by-step explanation:
8) all real numbers.
10)
[tex]y = a {b}^{x} \\ 12 \div 4 = 3 \\ b = 3 \\ a = 4 \\ y = 4 \times {3}^{x} [/tex]
Can somebody help me?? pleasee
Answer: the nswer is
Step-by-step explanation:
Answer:
9/15
Step-by-step explanation:
Given a 17-sided polygon, what is the sum of the measures of the exterior angles?
Answer:
360 degree
Step-by-step explanation:
A seventeen sided polygon or a 17 sided polygon the rule is same that the sum of the measures of the exterior angles is 360.
What is the circumference of a circle with a radius of 86 inches? use 3.14 for PI
Step-by-step explanation:
[tex]circumference = 2\pi\: r \: \\ = 2 \times 3.14 \times 86 \\ = 540.08[/tex]
Answer:
540.08
Step-by-step explanation:
If the surface area of a cube is 150 cm², what is the volume of the cube?
A)
125 cm3
B)
150 cm3
C)
175 cm3
D)
225 cm3
Answer:125
Step-by-step explanation:
PLS HELP THE PICTURE IS DOWN BELOW
Answer:
4
Step-by-step explanation:
Normally you would have to figure out the distance of the x- and y-components and use the Pythagorean Theorem; however, because the y-coordinates of both points are the same, you only need the x-coordinates.
You have the first point back 3, and the second point forward 1.
So starting at -3, you move 4 points to get to 1.
((-3 to -2 (1), -2 to -1 (2), -1 to 0 (3), 0 to 1 (4)))
Can y'all help me with this
PLEASE HURRY!! What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
the slope = -⅓
Please help me, with the last algebra questions I have. And just to note,
a= 2, b= 3, and c=4.
*25 points, + brainiest.*
*Algebra question.*
Answer:
5 is 14
6 is 10
7 i cant really see it well but i believe is is -4
Step-by-step explanation:
Answer:
Solve for the missing components of the triangle.
A
=
28.95502437
B
=
46.56746344
C
=
104.47751218
a
=
2
b
=
3
c
=
4
Step-by-step explanation:
What number is grater than 1 but less than 7
Answer:
5
ok
THIS IS SIMPLE
MARK AS BRAINLIST
how to change .75 to a percentage NOW
Answer:
Move the decimal place over to the left two spaces
.75--> 7.5--> 75%
and reverse
75%--> 7.5--> .75
Step-by-step explanation:
brainliest plz
Answer:
75%
Step-by-step explanation:
"Percent" means "per 100" or "over 100". So, to convert 0.75 to percent we rewrite 0.75 in terms of "per 100" or over 100.
Multiply 0.75 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
0.75 100 75
-------- x -------- = -------- which equals to 75%
1 100 100
Hope this helps
can i have brainliest plz
