Answer:
the sides are 46, 161, 138 respectively to sides 2, 7, 6
Step-by-step explanation:
2+7+6=15
345/15=23 this is our factor
2x23=46
7x23=161
6x23=138
A miner earns a wage of $28.42 per hour, plus an allowance of $9.97 per hour for working underground in confined spaces. If the miner works from 8.30am to 4.00pm each day from Monday to Friday, calculate his yearly income
Answer:
$74,860.50
Step-by-step explanation:
Wages per hour = $28.42
Allowance per hour = $9.97
8.30am to 4.00pm = 7.5 hours
Per day income (24 hours) = 7.5 * $28.42 + 7.5 * $9.97
= $213.15 + $74.775
= $287.925
Weekly income (Monday - Friday) = 5 days * $287.925
= $1,439.625
There are 52 weeks in a year
Yearly income = 52 weeks * $1,439.625
= $74,860.50
His yearly income = $74,860.50
Simplify the mathematical -5 ½ x 4__ ( -9 ⅗ ) + ( - 1.4)
Step-by-step explanation: 5
5 1/3 + (-4 1/6)+ (-2 1/2)
Answer:
[tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
We are given that
[tex]5\frac{1}{3}+(-4\frac{1}{6})+(-2\frac{1}{2})[/tex]
We have to find the value of given expression
[tex]\frac{5(3)+1}{3}-(\frac{4(6)+1}{6})-(\frac{2(2)+1}{2})[/tex]
[tex]=\frac{15+1}{3}-\frac{24+1}{6}-\frac{4+1}{2}[/tex]
[tex]=\frac{16}{3}-\frac{25}{6}-\frac{5}{2}[/tex]
LCM(2,3,6)=6
[tex]=\frac{32-25-15}{6}[/tex]
[tex]=\frac{32-40}{6}[/tex]
[tex]=\frac{-8}{6}[/tex]
[tex]=-\frac{4}{3}[/tex]
(x^4/7^-8)^-7
A)x^-28*7^-56
B)x^28/7^56
C)x^28/7^-56
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Answer:
A) x^-28*7^-56
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
1/a^b = a^-b
__
[tex]\left(\dfrac{x^4}{7^{-8}}\right)^{-7}=(x^47^8)^{-7}=x^{4(-7)}7^{8(-7)}=\boxed{x^{-28}7^{-56}}[/tex]
Explain, in writing, the steps in graphing and finding the solution to the system of equations.
y = x + 2
y=-x-2
Answer:
Feel free to copy and paste:
Use the slope-intercept form to find the slope and y-intercept. To do this, use y=mx+b. Plug the variables where m=1 and b=2. Slope of the line is m and y-intercept is value of b, so the slope is 1 while the y-intercept is (0,2). Any line can be graphed using two points, and using two x values to plug them into the equation to find the corresponding y values: 0=x+2 is (-2,0). Y-intercept is already known, so use the known values and make a table where x= -2,0 and y = 0,2. Now, graph the line using the slope, y-intercept, and known points (-2,0), (0,-2) to plot the graph. Coincidingly, the answer to solve your system of equations will be the x-intercept: (-2,0).
You are starting a new job in sales for the company Buy ‘n Large. Your hourly wage is $10.00 per hour and you get time and a half for anything over 40 hours. Based on a 5-day work week, 8-hour day, and 52 week year, determine your annual gross base salary.
A. $21,650
B. $18,798
C. $20,800
D. $19,980
Answer:
20,800
Step-by-step explanation:
10.00 per hour so 10x8=80
then 80x5=400
400x52=20,800
Maths people please write the answers !
Equations- Maths
Answer:
length = 20cm
breadth = 8cm
Step-by-step explanation:
solution;
length(l) = x + 12
breadth(b) = x
perimeter (p) = 56 cm
we know that,
perimeter(p) = 2(l + b)
or, 56 = 2(x + 12 + x)
or, 56 = 2(2x + 12)
or, 56 = 4x +24
or, 56 - 24 = 4x
or, 32 = 4x
or, 32 / 4 = x
x = 8
now
putting the value of x in length and breadth
length = x+ 12
=8 + 12
=20cm
breadth = 8cm
Answer:
Hope this helps!!!
Step-by-step explanation:
A: x=3
B: x=8
C: x=11
D: x=5
E: x=10
F: x=12
G: x= 10/3
H: x=6
I: x=3.4
When solving systems of equations with the elimination
method or the substitution method, how do you determine if
you have one solution, no solutions or infinite solutions?
Step-by step explanation:
That's a great question. Look for things such as these:
x=x (infinite solution)
x=12 (one solution)
x+3 = x + 5 (no solutions)
https://youtu.be/bq5gDsEdN3Q this video has more information, copy and paste the link into your search engine.
Determine the prime factorization of 88. 2^2• 3 • 5 2^3• 11 2 • 3^2• 5 2^2• 11
Answer:
2 three times or 2, 2, 2, and 11
Step-by-step explanation:
if you're writing/explaining in exponential form, this is how you write it out, 2³ x 11¹
YW.
HELP people say this is easy pleaseeeeee
Answer:
45 80
Step-by-step explanation:
Answer:
3.
∠BOA , ∠AOB
45°
4.
∠DEN , ∠NED
80°
HELP! If the area of a rectangle is 10x^2+3x-4 and the width is 2x-1, what is the side length of the rectangle?
Answer:
5x+4
Step-by-step explanation:
Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?
Answer:
$1.98
Step-by-step explanation:
$33.00 x 0.06 = $1.98
Write these in order starting with the smallest first.
12% 3/8 0.0123 42% 1/5 0.45
y=-2/3x-5 slope and y-intercept
Answer:
Slope = 2/3
Y-intercept = -5
Step-by-step explanation:
Since the equation is written in y = mx + b format. The m is the slope and b is the y-intercept. In place of m is 2/3 and in place of b is -5. Therefore, the slope is 2/3 and the y-intercept is -5.
hope this helps!
Maybe brainliest?
The equation of line is y = ( -2/3 )x - 5 , where the slope is m = -2/3 and the y intercept is b = -5
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = ( -2/3 )x - 5
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
Slope m = ( -2/3 )
The y-intercept b = -5
Hence , the equation of line is y = ( -2/3 )x - 5
To learn more about equation of line click :
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Which of the following expressions are equivalent to -6-(-2)
Pls I need help
Answer:
A) -6+2
Step-by-step explanation:
Patrick drank 3/4 liter of water Monday before jogging. He drank 4/5 liter of water after his jog. How much water did Patrick drink altogether? (Write fraction answers as a mixed number like this 2 1/2) He drank _____ liters. *
Answer: 1¹¹/₂₀ litres
Step-by-step explanation:
The fractions need to be added.
Find a common multiple for them.
Common multiple = 20
Divide the multiple by the denominator of the fraction and multiply the numerator by the result you get:
[tex]= \frac{15 + 16}{20} \\\\= \frac{31}{20} \\\\= 1\frac{11}{20}[/tex]
= 1¹¹/₂₀ litres
3. The average of two numbers is 55. If their positive difference is 64, then determine the two numbers algebraically.
Answer:
the numbers are 41 and 23
Step-by-step explanation:
Given data
let the numbers be x and y
x+y/2= 55
cross multiply
x+y= 110----------1
positive difference is 64
x-y= 64-----------2
solve 1 and 2
x+y= 110
x-y= 64
from 1
x= 110-y
put the value of x in 2
110-y-y=64
110-2y=64
110-64=2y
46=2y
y= 46/2
y=23
put y= 23 in 2
x-23= 64
x= 64-23
x=41
ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =
Answer:
-38
Step-by-step explanation:
IM SCROLLING THROUGH ALL OF THESE FRANTIC PLEAS OF HELP YALL I DONT KNOW ETHER YOUR EQUATIONS ARE MAKING MY EYES WATER
Answer:
What?
Step-by-step explanation:
I don't understand what you're saying.
Fiona was thinking of a number. Fiona divides by 8, then adds 11 to get an answer of 7. What was the original number?
Answer:
-32
Step-by-step explanation:
Do the opposite of everything to fin the number:
7 - 11 = -4
-4 x 8 = -32
Check to see if it's true:
-32/8 = -4
-4 + 11 = 7
So the original number was -32, because when you divide it by 8 then add 11 it equals 7.
PLEASE HELP ME ON SOME OF THESE!!! I AM SO CONFUSED!!
Answer:
4) (2x)(2x)(0.5)=shaded area
5) (7x)(5x)-(3)(4)(0.5)=shaded area
6) (3x+3)(x+4)-(2x)(x+4)(0.5)=shaded area
7) (3x)(2x)-(2x)(x)(0.5)-(x)(x)(0.5)=shaded area
8) (6x)(4x)(0.5)+(10x)(4x)(0.5)=shaded area
9) (4x+2)(x+3)+(2x)(x+3)(0.5)=shaded area
Step-by-step explanation:
Simplify the expression for the area
Answer:
UHHHHHHHHHHHHH
Step-by-step explanation:
A/c = ?/f
Pls help for my study guide
Step-by-step explanation:
I think
a/c = d/f
........
The coordinates of quadrilateral ABCD plotted on a coordinate plane are A(0, 3), B(3,-1).
C(-4, -3) and D(-7, 1). what is the perimeter of the quadrilateral?
Answer:
24.56 (parallelogram)
Step-by-step explanation:
4 sides of ABCD: AB, BC, AD, DC
perimeter = AB + BC + AD + DC
distance of two points: √(x-x')²+(y-y')²
AB = √3²+4² = √25 = 5
BC = √7²+2² = √53 = 7.28
AD = √7²+2² = √53 = 7.28
DC = √3²+4² = √25 = 5
P = 5*2 + 7.28*2 = 24.56
The perimeter of the quadrilateral = 24.56 units.
What are Quadrilateral's?A closed polygon with four sides, four vertices, and four angles is known as a quadrilateral. By joining four non-collinear points, it is formed. The amount of inside points of quadrilaterals is consistently equivalent to 360 degrees.
Given coordinates of quadrilateral ABCD, A(0, 3), B(3,-1).
C(-4, -3) and D(-7, 1)
for coordinate plane the length of a side is given by
d = √((x₂ - x₁)² + (y₂- y₁)²)
where d is the length of a side of a quadrilateral
AB = √((3 - 0)² + (-1-3)²)
AB = 5
BC = √((-4 -3)² + (-3 +1)²)
BC = √53 = 7.28
CD = √((-7 + 4)² + (1 + 3)²)
CD =5
DA = √((0+ 7)² + (3 - 1)²)
DA = √53 = 7.28
Perimeter of quadrilateral is given by sum of all the sides
= AB + BC + CD +DA = 5 + 7.28 + 5 +7.28
perimeter = 24.56 units
Hence perimeter = 24.56 units
Learn more about quadrilaterals;
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prove 151^3-25^3 is divisible by 126
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Answer:
151 -25 = 126 is a factor of the difference of those cubes
Step-by-step explanation:
The expression can be factored as ...
a^3 -b^3 = (a -b)(a^2 +ab +b^2)
151^3 -25^3 = (151 -25)(151^2 +151·25 +25^2)
= 126(151^2 +151·25 +25^2)
That is, 126 is a factor of the difference of the given cubes. The difference is divisible by 126.
__
Your calculator tells you 151^3 -25^3 = 126 · 27201.
Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
Answer:
The equation for this slope will be y=7x-5
Step-by-step explanation:
Hope this helped
Sarah exchanged 1,000 US dollars for the Croatian Kuna. The exchange rate was 6.72 Kuna for $1. How many Croatian Kuna did Sarah get?
Answer:
6720 Kuna
Step-by-step explanation:
multiply the rate for one dollar by the amount of money your are converting
6.72 x 1000 = 6720
In a cookie recipe, for every 2 cups of sugar there are 3 cups of flour. How many cups of flour would you need for 6 cups of sugar?
a) The regular price of a T-shirt is $18. What is the discounted price?
b) If the regular price of an item is x dollars, what is the discount price in dollars?
c) The discounted price of a hat is $18. What is the regular (original) price?
help fast!!!
Answer:
B
Step-by-step explanati
the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown. C is talking about a hat and were talking abot a shirt. so whats left.... B
Answer:
the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown. C is talking about a hat and were talking abot a shirt.
Step-by-step explanation:
A cleaning product sells for $0.75 a quart. Which equation can be used to solve for the total cost, C , of five gallons of the product? A: C = $0.75 × 4 + 5 B: C = 5 × ($0.75 × 4) C: C = ($0.75 + 4) × 5 D: C = ($0.75 × 5) + 4
Answer: b. C = 5 × ($0.75 × 4)
Step-by-step explanation:
Note that 4 quarts = 1 gallon
Therefore, if a cleaning product sells for $0.75 a quart, the equation can be used to solve for the total cost, C , of five gallons of the product will be:
= 5 × ($0.75 × 4)
= 5 × $3
= $15