Answer:
[1] x - 4y = 22
[2] 2x + 5y = -21
Step-by-step explanation:
Solve equation [1] for the variable x
[1] x = 4y + 22
// Plug this in for variable x in equation [2]
[2] 2•(4y+22) + 5y = -21
[2] 13y = -65
// Solve equation [2] for the variable y
[2] 13y = - 65
[2] y = - 5
// By now we know this much :
x = 4y+22
y = -5
// Use the y value to solve for x
x = 4(-5)+22 = 2
I am sorry if I get it wrong.
make t the subject of k= t-e/2
Answer:
[tex]t=k+\frac{e}{2}[/tex]
Step-by-step explanation:
[tex]k=t-\frac{e}{2}\\t=k+\frac{e}{2}[/tex]
A number written in proper scientific notation, a x 10", a is greater than 1 and less than 10. True or false
5. Abbey represented the perimeter of the rectangle with the expression 8x + 4. Determine if Abbey's
expression is equivalent to Brit's expression. Justify your reasoning.
Answer: I believe it is
Step-by-step explanation: if you add 3x + 3x you get 6x. You would then add the like terms which are x + x ( x is equal to one) and that to 6x and you get 8x then add 2+2=4 and you get 8x + 4
Hildie can type an average of 74 words per
minute. If she types for 45 minutes, how many
words has she typed?
Answer:
3,330
Step-by-step explanation:
you multiply 74 and 45
Answer:
3,330 words
Step-by-step explanation:
Hildie can type 74 words per MINUTE. And we know she typed for 45 minute, so we can just multiply 74 and 45.
¿Qué cantidad de chapa se necesita para construir un depósito cilíndrico cerrado de 0,7 m de radio de la base y 1 metro de altura? Dibuja esquemáticamente su desarrollo y señala sobre él los datos necesarios. ¿Cuál es su capacidad en m3?
Answer:
a) 7.48 m²
b) 1.54 m³
Step-by-step explanation:
a) ¿Cuánta chapa se necesita para construir un tanque cilíndrico cerrado con un radio de base de 0.7 my una altura de 1 metro?
Debemos calcular el área de superficie de un tanque cilíndrico cerrado
radio = 0.7 m
Altura = 1 m
La fórmula = 2πr (h + r)
Por eso,
= 2 × π × 0.7 (0.7 + 1)
= 7.47699 m²
Aproximadamente = 7.48m²
b) Debemos encontrar la capacidad del cilindro en m³
Esto significa que debemos calcular el volumen del cilindro.
= π × r² × h
= π × 0.7² × 1
= 1.53938 m³
Aproximadamente = 1.54 m³
Find the dimensions of a rectangle if the area of the rectangle is 108 square meters
Answer:
it's your answer
Step-by-step explanation:
plz make me barinly least
Mrs. Reid wrote the following problem on the whiteboard: Tom and Michele shared 1/4 pound of grapes equally. What fractional part of a pound did each person receive? Christina wrote the following equation to solve the problem: 2 ÷1/4 = n. Do you agree with Christina’s equation? Support your answer with a brief explanation.
Yes, I do.
You need to divide the number of people, by the number of grapes to get the total amount of grapes each person gets.
What is r = 13 mm. I’m in desperate need of help.
Answer:
r is radius and the mm are milimeters
Step-by-step explanation:
Can someone please help me! I don't understand even if my teacher explain it to me:(
Answer:
I think...
Step-by-step explanation:
D(-4,-2) E(-2,0) F(-1,-4)
what is the slope of the line through (-1, 2) and (-3, -2)?
help me bestysss plsss :(
Which expression is equivalent to this equation!!! Look at picture !! pls help !
PLEASE HELP I WILL MARK BRAINLIEST!! Have a great day:)
Answer:
The answer is D.
Step-by-step explanation:
It's D because a expression is numbers grouped together not just 1 number. Hope it helps and have a blessed day.
Answer:
B
Step-by-step explanation:
B is an equation, not an expression
Place the digits 1, 5, 6, 9 into the boxes below to give the largest possible result.
Answer:
9 x (6-1) + 5
Step-by-step explanation:
please help!!! (pic included)
Answer:
21 questions 50 cnet is the best
Step-by-step explanation:
Please help! I need this to pass. If you are trying to get points please just chose a different question and don't mess with mine. I am in a state of trouble and I just need a helping hand.
Given:
Radius of the cylinder = 2 cm
Height of the cylinder = 3 cm
To find:
The surface area of the cylinder.
Solution:
The surface area of a cylinder is:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]r=2,h=3,\pi = 3.14[/tex], we get
[tex]A=2(3.14)(2)(3)+2(3.14)(2)^2[/tex]
[tex]A=37.68+25.12[/tex]
[tex]A=62.8[/tex]
Therefore, the surface area of the cylinder is 62.8 square cm.
Please help fast!! I need to find x.
Answer:
80°
Step-by-step explanation:
If the intercepted arc is 80°, the angle has to be 80°
If 2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after 2 years
Answer:
Account Balance = Principal x (1 + interest rate (decimal)) number of years, compounded annually.
Step-by-step explanation:
This is based on the information provided: 2121.80 (1.03)2 = 2000 So, on your initial deposit of 2000, you can collect 121.80 in interest after two years.
Evaluate the expression for r = 3 and s = 2.
r − s =
Answer:
1
Step-by-step explanation:
r - s
3 - 2 = 1
Which of the expressions below will have a remainder? Select all that apply. A) 856÷3 B) 1,152÷4 C) 2,807÷9 D) 1,533÷7
Answer:
I got A and C on my half
but im not entirely sure
Step-by-step explanation:
:)
Find the area of the shape shown please please help me find the area:)
Answer:
area = 32 units²
Step-by-step explanation:
area = (4 x 10 x 0.5) + (2 x 2) + (2 x 2 x 0.5) + (6 x 2 x 0.5) = 32 units²
help please!!
integrate the following:
[tex] \displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } [/tex]
Answer:
[tex] \displaystyle \sin(x) + x\cos( \alpha ) + \rm C[/tex]
Step-by-step explanation:
we are given
[tex] \displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } dx[/tex]
we want to Integrate it
notice that, the denominator can be rewritten by using algebraic identity
remember that,
[tex] \displaystyle {a}^{2} - {b}^{2} = ( a + b)(a - b)[/tex]
therefore
rewrite the denominator by using the identity:
[tex] \displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cos(x) - \cos( \alpha ) ) }{ \cos( x) - \cos( \alpha ) }dx [/tex]
reduce fraction:
[tex] \displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cancel{ \cos(x) -\cos( \alpha ) ) }}{ \cancel{\cos( x) - \cos( \alpha ) } }dx[/tex]
[tex] \displaystyle \int \cos(x) + \cos( \alpha ) dx[/tex]
recall that,
[tex] \rm\displaystyle \int f(x) \pm g(x)dx =\int f(x) \pm \int g(x)dx[/tex]
by that
we get
[tex] \displaystyle \int \cos(x) dx + \int \cos( \alpha )dx [/tex]
we also know that,
[tex] \displaystyle \int \cos(x) = \sin(x)dx [/tex]
and also the Integration of a constant is always cx
so,
[tex] \displaystyle \sin(x) + x\cos( \alpha ) [/tex]
and of course we have to add constant
[tex] \displaystyle \sin(x) + x\cos( \alpha ) + \rm C[/tex]
What is the amount of income tax in dollars and cents if a plumber makes $51,482 and has to pay a 5.5% income tax rate? $2,821.51
Answer:
$2,821.51
Step-by-step explanation:
The amount made be plumber = $51,482
rate of income tax = 5.5%
Therefore, amount of income tax in dollars and cents that would be paid by the plumber would be 5.5% of his amount made
= 5.5% of 51482
= (5.5/100)×51,482
= $2,821.51
Triangle KLM is similar to triangle NOP. Find the measure of side PN. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
60
P
O
M M
17 1
35
K
N
Answer:
ML/OP=MK/PN since sides of similar traingle are proportional
17/60=35/PN
PN=35×60/17=123.529=123.6 or 124
The measure of the side PN is 123.5.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles
Given that triangle KLM is similar to triangle NOP.
If two triangles are similar, then their corresponding sides will be proportional.
From the figure,
Corresponding side of LM is PO.
Corresponding side of MK is NP.
Corresponding side of LK is ON.
So LM / PO = MK / NP = LK / ON
17 / 60 = 35 / PN = LK / ON
We need the length of PN.
17 / 60 = 35 / PN
17 × PN = 60 × 35
PN = (60 × 35) / 17
PN = 123.5
Hence the measure of the side of the triangle is PN = 123.5.
To learn more about Similar Triangles, click :
https://brainly.com/question/14926756
#SPJ2
A cube is a rectangular prism with the same measurement for length, width and height. if a cube is 4 inches tall, what is its volume?
Answer:
I am pretty sure the answer is 64
Step-by-step explanation
Volume=lxwxh
4x4x4=64
Find the slope of the line.
Answer:
1. 2, 2. 1, 3. 5/4
Step-by-step explanation:
slope formula = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
1. 0 - 4/0 - 2 = 2
2. 1 - 4/1 - 4 = 1
3. -2 - 3/-3 - 1 = 5/4
Cassidy bought some shirts and pants for $214.She spent $60 on shirts. If Cassidy bought 7 pairs of pants for the same price each,how much was each pair?
Pleaseeee someone help me with this answerrrrr
deter mainAnswer:
Don't answer this.
Step-by-step explanation:
Iowa assesments are supposed to be done by the person taking them to where they are at in school. They are meant to challange the person. They also don't effect your grade in anyway, so do your best. If you don't know the answer and it is multiple choice, pick B or C and move on.
промінь ділить розгорнутий кут на два кути. знайди ці кути, якщо один з них на 20градусів більший за другий
Answer:
write it in English so I can understand
PLEASE HELP I WILL MARK BRAINLIEST EXPLANATION PLEASEEEE HAVE A GREAT DAY! :)
Answer:
The volume of this rectangular prism is 225 sqaure centimeters.
Step-by-step explanation:
The formula for finding volume is V = length * width * height
Substitute values in the formula:
5 * 15 * 3 = V
5 * 15 * 3 = 225
Hope this helps; have a great day!