what is 5.316 ÷ 1.942 (long divison)
Answer:
[tex]=2.73738[/tex]
Step-by-step explanation:
[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000[/tex]
[tex]\frac{5316}{1942}[/tex]
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]\begin{matrix}1942\overline{|\smallspace5316}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2.\:\:\:\:\:\:\:\:\:\:\:\\ 1942\overline{|\smallspace5316.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace8\emptyspace8\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace1\emptyspace4\emptyspace3\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]=2.73738[/tex]
Hence, the correct answer is 2.73738
Answer:
2.7 / 2 Remainder 7, view equation below
Step-by-step explanation:
Place 5.3 as 53 to start off this problem.Next, drop the 1 from the dividend.Finally to finish off setting this up, drop the 6 from the dividend.Now, determine how many times 1.942 goes into 5.316.2 times, write 2 at the top of your algorithmSince the result of 1.942 is 3.884...3.884 - 5.316 = 1.432Next, drop a 0 to the ten thousandths place.Remove the thousandths place from 1.942.How many times does 1.94 go into 2? 7 times. Write a decimal & 7.Next step is 1.432 - 1.359 (our previous result) = 0.073a way to finish this with the same answer:
flip 0.073 around, remove the 0's, and put it next to your 2.7 :)
hope it helps!
let me know!
A scout troop picked 1610 oranges. They plan to sell boxes of oranges with 18 oranges in each box. How many boxes can they make
Answer:
89 boxes
Step-by-step explanation:
1610/18= 89.4444444444
Then you round down since only 89 full boxes can be made.
Karla is creating a survey with 6 questions. She suspects that the order of the questions may influence the
responses, so she wants to create multiple versions of the survey with the same 6 questions in different orders.
How many unique ways are there to arrange the questions?
Helpppppp!!!!!
Answer:
There are 720 different ways.
Step-by-step explanation:
6! = 720
(1*2*3*4*5*6)
The number of unique ways to arrange the questions will be 36.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Karla who is creating a survey with 6 questions. She suspects that the order of the questions may influence the responses, so she wants to create multiple versions of the survey with the same 6 questions in different orders.
Assume that the she has to arrange the [x] questions. Then the number of unique ways are there to arrange the questions will be x². For [x] = 6, we can write the number of ways to be (6 x 6) = 36.
Therefore, the number of unique ways to arrange the questions will be 36.
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Fill in the gaps to factorise this expression
20x + 12 = 4(_+_)
Answer:
20x + 12 = 4(5x+3)
Step-by-step explanation:
4*5x = 20x and 4*3 = 12
The complete expression will be written as 20x + 12 = 4(5x+3).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 20x + 12 = 4(_+_). The value of the missing terms will be calculated as,
4 x ( 5x) = 20x
4 x 3 = 12
20x + 12 = 4(5x+3).
Therefore, the complete expression will be written as 20x + 12 = 4(5x+3).
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Polygon A and Polygon B are similar with a ratio of similarity of 5/4. If the perimeter of Polygon A is 20 units, what is the perimeter of Polygon B?
Answer:
16 units
Step-by-step explanation:
A/B = 5/4 = 20/p
5/4 = 20/p
5p = 4 × 20
p = 4 × 4
p = 16
Answer: 16 units
Add * (5x ^ 2 - 2x) + (6x - 4)
Answer:
Simplify the expression.
5x2+4x−4
what is 22 x30 is for the
Answer:
the answer is 660 because I used a calculator
Step-by-step explanation:
calculations
What is the value of x in this triangle?
A.
53°
B.
62°
C.
65°
D.
118°
Answer:
X=A+B+C+D=360°[being reflex angle]
X=360-298
X=62°
answer: c. 65 degrees
when you first move into your current house, you noticed that a tree outside had a height of 63 inches. You noticed that after 3 years, the height was 72 inches. Predict how tall the tree will be after 20 years.
When Rafiq left home on a business trip
he noted that the odometer on his car
read 47,823. He drove 3 h 15 min and
then noted that the odometer read
48,017. Find his average speed in miles
per hour.
He travelled : 48017 - 47823 = 194 (miles)
15 mins = 1/4 hours => 3h 15min = 3 1/4 hours = 13/4 hours
So, he travelled at an average speed of 194 : 13/4 = 59 (miles/h)
Martin bought a flower vase from a florist. The box in which the vase was packed was shaped like a rectangular prism. What is the surface area of the box?
Answer:
In order for the appropriate answer to be given, you need to include the original measurements as well.
Urgent Please show steps!!! 100 POINTS
Use synthetic division to find P(-3) for
`P(x)=-2x^4+6x^2-x``+1`
("^" means expoents)
Answer: p(-4= -255
Step-by-step explanation:
p(x)=3x3-2x2+6x-4 The remainder theorem states that when we divide a polynoical hope this helps
Put -3
[tex]\\ \rm\longmapsto -2(-3)^4+6(-3)^2+3+1[/tex]
[tex]\\ \rm\longmapsto -2(81)+6(9)+4[/tex]
[tex]\\ \rm\longmapsto -162+58[/tex]
[tex]\\ \rm\longmapsto -104[/tex]
The calories , c, in a snack and the amount of the snack , a ... How do u identity the dependent variable and the independent variable In each situation???
a/4 - 5/6 = -1/2 whats a help (;
Evaluate
4(x+5)(2+1)
(2+3)(2-3)
for x = 5.
Answer:
-600
Step-by-step explanation:
4 x 10 x 3 x 5 x -1
40 x 15 x -1
600 x -1 = -600
What is an equation of the line that passes through the points (-8, 1) and(7,1)?
please help im giving 20 points to who ever answers it
Answer:
y=1
Step-by-step explanation:
you can use those points to find the slope
use the equation [tex]\frac{y_{1} - y_{2}}{x_{1}-x_{2}}[/tex] then plug in the numbers
so (1-1)/(-8-7) = 0/15 so the slope is zero meaning it is a horizontal line which we can tell logically because the y coordinates of both points are 1.
so if you plug those numbers into the formula y=mx+b where m is slope and b is the y intercept then
you get y=0*x+1
then 0*x is just zero and it goes away so the equation for this line is y=1
Hope this helps! :)
The equation of the line that passes through the points (-8, 1) and (7, 1) will be y = 1.
What is the equation of a line passing through two points?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The two points are given below.
(-8, 1) and (7, 1)
Then the equation of the line that passes through the points (-8, 1) and (7, 1) will be given as,
(y - 1) = [(1 - 1) / (7 + 8)](x - 7)
y - 1 = 0
y = 1
The equation of the line that passes through the points (-8, 1) and (7, 1) will be y = 1.
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$2000 at 3.5% for 4 years
a. Find the interest earned.
b. Find the balance of the account.
Answer:
a 280
b 2280
Step-by-step explanation:
a Interest = 2000 * 3.5 * 4
------------------------ = 280
100
b 2000 + 280 = 2280
What step has the error in solving the equation (x + 2) ^ 2 = 4 occurred and explain what the error is?
Answer:
step 2 ...they didn't expand the brackets two times
PLEASE AWNSER WILL GIVE 100 POINTS!!!!!!!!!!! PLUS BRAINLEST!!
Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{4+3}{-1}=\dfrac{-7}{1}=-7[/tex]
Equation in slope intercept form
[tex]\\ \rm\rightarrowtail y-4=-7(x)[/tex]
[tex]\\ \rm\rightarrowtail y=-7x+4[/tex]
Answer:
[tex]y=-7x+4[/tex]
Step-by-step explanation:
Formulae
Slope-intercept form of a linear function: [tex]y = mx + b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
Point-slope form of a linear function: [tex]y-y_1=m(x-x_1)[/tex]
(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line)
Slope formula
[tex]\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points on the line)
Solution
Choose 2 points on the line:
Let [tex](x_1,y_1)[/tex] = (0, 4)Let [tex](x_2,y_2)[/tex] = (1, -3)Find the slope using the slope formula:
[tex]\implies \textsf{slope}=\dfrac{-3-4}{1-0}=-7[/tex]
Substitute found value for [tex]m[/tex] and point (0, 4) into the point-slope formula:
[tex]\implies y-4=-7(x-0)[/tex]
[tex]\implies y=-7x+4[/tex]
A garden measuring 15 meters by 20 meters is to have a pedestrian pathway installed
all around it, increasing the area to 336 square meters.
a. Write an expression to represent the area of the total garden including the
pathway.
b. What will be the width of the pathway?
The area of the garden is the amount of space on the garden.
The area of the total garden is (x + 15)(x + 20)The width of the pathway is 1 meterThe expression of the areaThe dimensions of the garden is given as:
15 meters by 20 meters
Let the width of the pedestrian pathway be x.
So, the area of the total garden is:
[tex]Area=(x + 15)(x + 20)[/tex]
The width of the pathwayIn (a), we have:
[tex]Area=(x + 15)(x + 20)[/tex]
The total area is given as: 336.
So, we have:
[tex](x + 15)(x + 20) = 336[/tex]
Expand
[tex]x^2 + 35x + 300 = 336[/tex]
Collect like terms
[tex]x^2 + 35x + 300 - 336 = 0[/tex]
Evaluate
[tex]x^2 + 35x - 36 = 0[/tex]
Expand
[tex]x^2 + 36x -x - 36 = 0[/tex]
Factorize
[tex]x(x + 36) -1(x +36) = 0[/tex]
Factor out x + 36
[tex](x + 36)(x -1) = 0[/tex]
Solve for x
x = -36 or x =1
The width cannot be negative.
Hence, the width of the pathway is 1 meter
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After many studies, a researcher finds that the probability a word recognition program correctly interprets a hand-written word is 3/10. How many words would the researcher expect the program to interpret correctly out of 90 words?
Shona bought 5 bags of cement and 4 bags of gravel. The total weight of her bags was 200 kilograms.
Write down an equation to illustrate this information.
The equation illustrates the given information is 5x+4y=200
Cement= a bag x kg
Gravel =a bag of y kg
What is the equation?
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
and the total is 200kg
Therefore we get the equation is
5x+4y=200
Therefore the equation illustrates the given information is 5x+4y=200.
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Factor completely 12x4 6x3 18x2. Prime 6(2x4 x3 3x2) 6x2(2x2 x 3) 6x(2x3 x2 3x).
The factors of the given expression will be 7,x, x, y, and ( x + 2y²- y).
We have the expression:
7x³y+ 14x²y³-7x²y²
What is a factor?A factor is a number that divides another number completely.
Let us take '7x²y' as common in the above expression
7x²y( x + 2y²- y)
7. x.x.y ( x + 2y² - y)
Further, we cannot make any factor.
Therefore, the factors of the given expression will be 7,x, x, y, and ( x + 2y²- y).
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Rosa bought 3 pairs of shoes. Each pair cost $40. She paid $120
for all three pair.
Answer:
Yes
Step-by-step explanation:
Each shoe costs $40.
Then 3 pairs would cost :
40 x 3
= $120
The question is below:
Answer:
(1, -4)
Step-by-step explanation:
Hope this helps!
At a pizza shop, customers can select either crispy crust (C) or deep crust (D). Suppose that two customers place an order and select their crust. What is the sample space for this action? Drag and drop the choices into the box to correctly complete the table. If an item is not in the sample space, do not drag it to the table.
The sample space for this action of selecting crispy crust (C) or deep crust (D) by two persons are (C, C)(C, D)(D, C)(D, D).
What is a sample?A sample is the collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.
At a pizza shop, customers can select either crispy crust (C) or deep crust (D).
Suppose that two customers place an order and select their crust.
The number of samples will be
Sample size = 2 × 2
Sample size = 4
The combination of the sample will be
Sample = (C, C)(C, D)(D, C)(D, D)
The sample space for this action of selecting crispy crust (C) or deep crust (D) by two persons are (C, C)(C, D)(D, C)(D, D).
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Answer: cc cd dc dd
Step-by-step explanation: did it
from 12 teachers to 48 teachers
Please answer soon (45 Points)
Answer:
$10 each week
Step-by-step explanation:
The boxes sum is equal to 40.
(x-2)+(x-2)+(x-2)+(x-2)+(x-2) = 40
5x-10 = 40
5x=50
x =50/5
x=10
Answer:
Step-by-step explanation:
[tex](x-2)+(x-2)+(x-2)+(x-2)+(x-2) = 40\\5x - 10 = 40\\5x = 50\\x =10[/tex]
vertex form of y=(x-2)(x+2)
Answer:
[tex]\mathrm{Minimum}\:\left(0,\:-4\right)[/tex]
Step-by-step explanation:
[tex]y=\left(x-2\right)\left(x+2\right)[/tex]
[tex]Parabola\:equation\:in\:vertex\:form:[/tex] [tex]y=a\left(x-h\right)^2+k\:\mathrm{\:is\:the\:equation\:in\:vertex\:form\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}[/tex] [tex](h,k)[/tex]
Rewrite y=(x-2)(x+2) in vertex form:
[tex]y=\left(x-0\right)^2-4[/tex]
[tex]\mathrm{The\:parabola\:params\:are:}[/tex]
[tex]a=1,\:h=0,\:k=-4[/tex]
[tex]\mathrm{Therefore\:the\:parabola\:vertex\:is}[/tex]
[tex]\left(h,\:k\right)=\left(0,\:-4\right)[/tex]
[tex]\mathrm{If}\:a < 0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}[/tex]
[tex]\mathrm{If}\:a > 0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}[/tex]
[tex]a=1[/tex]
[tex]\mathrm{Minimum}\:\left(0,\:-4\right)[/tex]
I just need help on my math because it’s too hard and i don’t understand a single thing about math
Answer:
How old r u I might b able to help im in 8th grade tho
Step-by-step explanation:
