Answer:
Step-by-step explanation:
Henry and Irene working together can wash all the windows of their house in 1 h 40 min. Working alone, it takes Henry 2 1 /2 h more than Irene to do the job. How long does it take each person working alone to wash all the windows?
Let us represent
The number of hours Irene takes to do the job alone =x
1/x=Irene's work rate
The number of hours Henry takes to do the job alone = x + 2.5
1/(x+2.5)=Henry's work rate
1 hr and 40 min
Converting the 40 minutes to hour
60 mins = 1 hour
40 mins = x
x = 40/60
x = 0.6666666667 hour
1 hour 40 minutes = 1.67hours
Irene and Henry working together to do the job
Their work rate working together
sum of individual work rates=work rate when working together
1/x+1/(x+2.5)=1/1.67
LCD:(x)(x+2.5)(1.67)
(x+2.5)(1.67)+(1.67)(x)=(x)(x+2.5)
1.67x+ 4.175 +1.67x=x^2+2.5x
x^2+ 2.5x - 3.38x - 4.175
x^2- 0.84x - 4.175
Using Almighty formula
x = 42 minutes
x + 2.5 +
0.42 + 2.5 = 2.92 hours
In ΔHIJ, \text{m}\angle H = (4x+1)^{\circ}m∠H=(4x+1) ∘ , \text{m}\angle I = (2x-6)^{\circ}m∠I=(2x−6) ∘ , and \text{m}\angle J = (6x-7)^{\circ}m∠J=(6x−7) ∘ . Find \text{m}\angle J.M∠J.
Given:
In ΔHIJ, m∠H=(4x+1)° , m∠I=(2x−6)°, and m∠J=(6x−7)° .
To find:
The m∠J.
Solution:
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In ΔHIJ,
[tex]m\angle H+m\angle I+m\angle J=180^\circ[/tex] [Angle sum property]
[tex](4x+1)^\circ+(2x-6)^\circ+(6x-7)^\circ=180^\circ[/tex]
[tex](12x-12)^\circ=180^\circ[/tex]
[tex]12x-12=180[/tex]
Add 12 on both sides.
[tex]12x=180+12[/tex]
[tex]12x=192[/tex]
Divide both sides by 12.
[tex]x=16[/tex]
Now,
[tex]m\angle J=(6x-7)^\circ[/tex]
[tex]m\angle J=(6(16)-7)^\circ[/tex]
[tex]m\angle J=(96-7)^\circ[/tex]
[tex]m\angle J=89^\circ[/tex]
Therefore, the measure of angle J is 89 degrees.
Segments AB and CD intersect to form an angle of 89 degrees as shown. What is the measure of <2
Answer:
180-89= 91
Step-by-step explanation:
Answer:
2 = 91
Step-by-step explanation:
Angle 2 and the 89 degree angle are supplementary (They both add up to 180) because they form a straight line. So, you would do as follows:
180 - 89 =
91
how can you be sure the lines you constructed are parallel?
Answer:
think of it as the 2 ells right beside each other in parallel
Step-by-step explanation:
a rectangle has 2 sets of parallel lines also a square
a triangle and a circle do not have parallel lines
function f(x)=-2x+7
evaluatef(x) = 5, find x
Answer:
x= 1
Step-by-step explanation:
f(x) = -2x+7
Then, -2x+ 7 = 5
-2x= 5-7
-2x= -2
x=-2/-2
x=1
When the value of x is 3, what is the value of y?
Answer:
I need more info please
The distance that a car has traveled as a function of time is represented by the table below. Find and interpret the rate of change in context of the situation.Time (hours) Distance (miles)
4 260
6 390
8 520
10 650
Answer:
the car is traveling at a mph of 65 per hour.
Step-by-step explanation:
hope this helped out in some way.
help me quickly. ratioss
Answer:
8
Step-by-step explanation:
Which equation describes the line parallel to y = –7x + 15 that contains P(9, –6)?
6+6-5x(4•6)=45-23x-13
Which one?
A. B. C or D?
Answer:
D
Hope this helped!
Happy Halloween!
| 4r + 20 | = 28
help ASAP
Answer:
r = 2
Hope this helps and have a great day :)
And please mark me brainliest if you can :)
Find A u B, step by step isnt needed
Answer:
I think it might be C
Step-by-step explanation:
Please help me I don’t understand this at all
Answer:
Step-by-step explanation:
B: 8.5 inch by 5.5 inch
C: 4.25 inch by 5.5 inch
D: 4.25 inch by 2.75 inch
E: 2.125 inch by 2.75 inch
24-10b=9 what is the missing variable equal to
Answer:
b = 1.5
Step-by-step explanation:
Lets first set up the equation:
24 - 10b = 9
Okay now lets add 10b on both sides:
24 = 9 + 10b
Now let's subtract 9 from both sides so we can get the variable b by its self:
15 = 10b
Okay now we can divide each side by 10:
1.5 = b
Answer:
24-10(1.5)=9
b = 1.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
b = 3 /2
Decimal Form:
b = 1.5
10(1.5) = 15
24 - 15 = 9
:)
1 point
7. A bank is advertising that new customers can open a savings account
with a 3.75%interest rate compounded annually. Robert invests $5,000 in
an account at this rate. If he makes no additional deposits or withdrawals
on his account, what amount of money will he will have, to the nearest
cent, after three years?
Answer:
18,750
Step-by-step explanation:
First you just listen to what I tell you and you'll get the right answer
Trust me that's the right answer
write the equation of the line in slope - intercept form
Answer: y=1/2x+3
Step-by-step explanation: the line goes up 1 and over 2 and the Y intercept is 3
any help?
Given h(x) = -X – 1, solve for x when h(x) = 0.
Answer:
X=-1
Step-by-step explanation:
h(x)=0
-X-1=0
-X=1
X=-1
Given the system of equations below, Identify the number of solutions.
x + 9y = 1
2x + 18y = -16
Question 3 options:
No Solution
Infinitely Many Solutions
3 Solutions?
One Solution
Answer:
no solution
Step-by-step explanation:
u can see: 2x + 18y = -16
=> x + 9y = -8
but x + 9y =1
so it is unreasonable
Help!!!! Please!!!!!
Answer:
j,fj,fj,fj,fj,fj,fhj,fj,fj,fj,
Step-by-step explanation:
One pack of pencils currently costs $1.19. The cost of one pack of pencils is projected to increase by 135% in the next 5 years. What is the projected cost of a pack of pencils 5 years from now? (Round your answer to the nearest cent.)
Answer: $2.80
Step-by-step explanation:
Given: Cost of one pack of pencils = $1.19
The cost of one pack of pencils is projected to increase by 135% in the next 5 years.
So, the cost of pack of pencils after 5 years = $1.19 + 135% of $1.19
= $ (1.19+1.35(1.19)) [135% = 1.35 since we divide each percent by 100 to convert in decimal]
= $ (1.19+1.6065 )
= $ 2.7965 ≈ $ 2.80 [Rounded to the nearest cent]
hence, the projected cost of a pack of pencils 5 years from now = $2.80
Examine the diagram, where quadrilateral MNOP is inscribed in ⨀C such that m∠P=(2x)∘ and m∠N=(2x−12)∘.
What is the measure of m∠P and m∠N?
m∠P=96∘, m∠N=84∘
m∠P=84∘, m∠N=72∘
m∠P=90∘, m∠N=90∘
m∠P=72∘, m∠N=108∘
Answer:
Option (1)
Step-by-step explanation:
Since quadrilateral MNOP is a cyclic quadrilateral, sum of opposite angles of the quadrilateral will be 180°.
m∠P + m∠N = 180°
(2x)° + (2x - 12)° = 180°
4x - 12 = 180
4x = 192
x = 48
Therefore, m∠P = (2x)° = 2×48 = 96°
m∠N = (2x - 12)° = (2×48) - 12 = 84°
Option (1) will be the answer.
Answer:
Option (1)
Step-by-step explanation:
What are the values of m and d in the equation y = mx + such that the linear
function is its own inverse, and m is positive?
M=?
B=?
Answer:
The correct equation would be y=mx+b when trying to figure out the y-intercept and the slope of a coordinate. M would be the slope and b would be the y-intercept. For example, if the slope were to be 3 and the y-intercept would be 5, the equation would be, y=3x+5. I don't know if I helped but I hope I did!
The value is of the m and b such that equation y = mx + b is its own inverse will be 1 and 0 respectively.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the linear b,
y = mx + b
Now inverse of this;
x = my + b
my = x - b
y = (1/m)x - b/m
Now,
For both functions equal
m = 1/m and -b = b
So m must be 1 and b must be 0.
Hence "The value is of the m and b such that equation y = mx + b is its own inverse will be 1 and 0 respectively.".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
ANSWER FASTFOR BRAINLIEST FIVE STAARS AND THXS
Answer:
w
the square root of 95 =9.75 and w is placed at about 9.75
Answer:
W
Step-by-step explanation:
square root of 95 is 9.74 smth
Linear function g is shown in the graph. Write the slope-intercept form of the equation representing this function.
Answer:
Y=-2x+1
Step-by-step explanation:
Answer:
all the answers to the test
Step-by-step explanation:
4. Find the slope of the line passing through the points
(-1,20) and (2,3)
this is a true or false thing for geometry
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. What is the cost of renting the canoe for 6 hours?
Answer:
use slope intercept form to write the equation y=mx+b m (slope of the line) will be the hourly fee, and b (y-intercept) will be the one-time transportation fee.
y=30x+20
to find the cost of renting a canoe for 6 hours, plug 6 into the equation replacing x
y=(30×6)+20
y=180+20=$200
Sorry, I can't graph the line, but I would number the x-axis of the coordinate plane (graph) by 1s or 2s (for the hours), and the y-axis by 20s (for the cost
Step-by-step explanation:
Help find missing angles
Answer: s=45 and r=45
#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for her wedding reception. The Lyme Point Inn charges $3,000 for the venue and $100 for each meal. Ever After Farm charges $5,400 for the venue and $70 for each meal. Write and solve an equation to find the number of meals at which the total cost charged by the two venues would be the same. *
Answer: Required euqtaion: 3000+100x = 5400+70x
Solution: x=80 i.e. The number of meals at which the total cost charged by the two venues would be the same = 80
Step-by-step explanation:
Let x= Number of meals.
For Lyme Point Inn, cost for x meals = 100x
Total cost = 3000+100x
For Ever After Farm, cost for x meals = 70x
Total cost = 5400+70x
When both cots same, then
3000+100x = 5400+70x
⇒ 100x-70x= 5400-3000
⇒ 30x=2400
⇒ x= 80
Hence, the number of meals at which the total cost charged by the two venues would be the same. =80
-45 divided by 9 , show your work
Answer:
9 can go into -45 5 times becuase 5 times 9 is 45 but because it is a negative number the answer will be -5 because a negative and a positive =a negative does this help? :)
Step-by-step explanation: