Answer:
Step-by-step explanation:
The equation is
Salary = 11 * x Where x is the number of hours.
salary = 143
hours = 11
x = ?
143 = 11x Divide both sides by 11
143/11 = 11x/11
13 = x
So to get 143 he works for 13 dollars / hour
salary = 13 * x
salary = 91
13 x = 91
13x/13 = 91/13
x = 7
He must work 7 hours to get 91 dollars.
Jim made 143 dollar for 11 hours of work at the same rate how many hours would he have to work to make 91 dollar
✺ Explanation -:Given:
Jim made $143 for 11 hours of work.To Find:
Hours he have to work to make $91.Solution:
We can solve this question using two methods Unitary Method and Method of proportion.
Unitary Method -
For $143 he work 11 hours
For $1 he work [tex]\dfrac{11}{143}[/tex] hrs
For $91 he works [tex]\dfrac{\cancel{11}} {\cancel{143}\: \: \cancel{13}}[/tex] × [tex]\cancel{91}\: \: 7 [/tex]hrs
= 7 hours
He must work 7 hours to get $91.
[tex] \ {\rule{50mm}{3pt}}[/tex]
Method of proportion -
He work 'x' hours for $91. (x as no. of hrs)
[tex] \left[\begin{array}{c | c}\ \bf{Salary} & \bf{Number \: of \: hrs} \\ \sf{143 \: dollar} & \sf{11hrs} \\ \sf{91 \: dollar}& \sf{x}\end{array} \right][/tex]
143 : 91 :: 11 : x
Product of mean = Product of extreme
143 × x = 91 × 11
→ x = [tex]\dfrac{91 × 11}{143}[/tex] = 7hrs
He must work 7 hours to get $91.
[tex] \ {\rule{90mm}{3pt}}[/tex]
A rectangular pentagon with side lengths of l. A rectangle with a length of l + 10 and a width of l.
A regular pentagon and rectangle have the same perimeter. The length of the rectangle and the side of the pentagon are equal. The width is 10 more than the length. Write an equation that describes the scenario.
pentagon’s perimeter:
rectangle’s perimeter:
scenario’s equation:
Answer:
Pentagon's perimeter: 5I ; (choice 2)
Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)
Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)
Step-by-step explanation:
I hope this helped! :)
Answer:
Pentagon's perimeter: 5I ; (choice 2)
Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)
Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)
Step-by-step explanation:
below are two parallel lines with a third line intersecting them.
Please Help!!
Thanks!!
Answer:
a) 18x+9x+4x+16
b) 41x+16
TV−→− bisects ∠STU, m∠STV=(14x+8)∘, and m∠UTV=(x+2)∘. Find m∠STU
Answer:
Since TV bisects STU, m∠STV and m∠UTV are equal
14x+8 = x+2
13x+8 = 2
13x = -6
x = -6/13 or -0.46
The measure of m∠STU is 40/13 degrees
A point that bisects a line divides the line into two equal parts
If TV bisects ∠STU and ∠UTV, then;
∠STU = ∠STV+ ∠UTV ∠STV= ∠UTVGiven the following
m∠STV=(14x+8)∘
m∠UTV=(x+2)∘
Substitute the given values into the formula and calculate m∠STU
14x + 8 = x+ 2
14x - x = 2 - 8
13x = -6
x = -6/13
Get m∠STV
m∠STU = 14x+8 + x + 2
m∠STU = 15x + 10
m∠STU = 15(-6/13) + 10
m∠STU = -90/13 + 10
m∠STU = 40/13
Hence the measure of m∠STU is 40/13 degrees
Learn more here https://brainly.com/question/22883501
HELLP
Using the graph: after a reflection, the image vertices are A’(5,1),B’(3,-1) and C’(7,-1) what is the line of reflection?
Answer:
x=2
Step-by-step explanation:
the line that is being refected over is x=2
is 5.67 A)rational B)Irrational C)whole D) natural E)integer
Which is the graph of the system y < 3x + 4 and y < 3x - 2
Answer:
C
Step-by-step explanation:
Answer:
It’s C
Step-by-step explanation:
trust
After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows. P(soil | high-quality oil) = 0.20 P(soil | medium-quality oil) = 0.80 P(soil | no oil) = 0.20 How should the firm interpret the soil test? The probability of finding oil is good. Given the probability of finding good soil, the oil company is more likely to find oil. What are the revised probabilities?
Answer:
The revised probabilities are;
The probability of finding soil with oil = 0.8
The probability of finding soil with good oil = 0.16
The probability of finding medium quality oil = 0.64
Step-by-step explanation:
The given probability of finding soil with high quality oil, P(QO) = 0.20
The probability of finding soil with medium-quality oil, P(OM) = 0.80
The probability of finding soil with no oil, P(ON) = 0.2
Therefore, given that the probability of finding soil with no oil = 0.2, we have;
The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil
P(OP) = 1 - 0.2 = 0.8
Which gives;
The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;
P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16
The probability of finding good oil = 0.16
Similarly;
The probability of finding medium quality oil P(FM) = P(OM) × P(OP) = 0.8 × 0.8 = 0.64
Which gives the revised probability as follows;
The probability of finding soil with oil, P(OP) = 0.8
The probability of finding soil with good oil, P(FG) = 0.16
The probability of finding medium quality oil, P(FM) = 0.64.
What is the mean of the data set: 17,13,18,20,17,15,12
Answer:
16
Step-by-step explanation:
The perimeter of a rectangular swimming pool is 154 m. Its
length is 2 m more than twice its width. What are
length and the width of the pool ?
Answer:
breadth =25 m and length =25×2+2=52 m
Step-by-step explanation:
geometry! help pls asap
i believe the answer is A sry if im wrong
Answer:
C
Step-by-step explanation:
will be your answer
Mallory is 2 years older than three times her brother Jake’s age.
Let j represent Jake’s age.
During the strategize step of the five-step problem-solving plan, which expression where do you use to represent Mallory’s age?
A. 3j+2
B. 2j+3
C. j+2
D. 3(j+2)
Answer:
A) 3j + 2
Step-by-step explanation:
sorry, I always have trouble explaining this kind of question. hope I was still able to help!
[tex](7y + 5) - (8y - 6)[/tex]
Answer:
7y + 5 - 8y + 6
-y + 11
Step-by-step explanation:
y − 3x = 4 slope intercept form plsssssssss
Answer:
y = 3x + 4
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b. We add - 3x to 4 to isolate the y.
PLS HELP ME ASAP I'LL GIVE BRAINLYEST
Are these two triangles similar???????!!!!!!! PLEASE HELP! I WILL GIVE BRAINILST AND MANY POINTS!
Answer:
yes the blue one is bigger but the green one is just smaller but if you multiply the sides by two it would be the same size so yeah they are similar
Step-by-step explanation:
Answer:
It's called Dilation when a triangle is the similar but only smaller, but as he said above, multiply the numbers by 2, you can't if they aren't numbers but if you do then it'll be the same size.
Step-by-step explanation:
PLEASE HELP I NEED THIS NOW PLEASE I WILL MARK BRAINLIST!! Look at the image above to solve please
RJ solves a math problem on the whiteboard using the Powers of Products Property. Is his answer correct? Explain.
6^3 * 7^3 = 42^3
Select the correct answer.
a:
Yes, because (6*7)^3 is 42^3
b:
No, because 6^3 * 7^3 = 42^6
c:
No because 6^3 * 7^ 3 = 42^9
d:
No, because 6 * 7 = 42
Answer:
Its A
Step-by-step explanation:
Because they have the same answer. <3
What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?
Oy-1=4(3-3)
Oy+3 = 4(x+1)
Oy+1=4(x+3)
Oy-3 = 4(2 - 1)
Answer:
The answer is y+3 = 4(x+1)Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
So we have
[tex]y + 3 = 4(x + 1)[/tex]
Hope this helps you
PLEASE HELP
Norton started driving at 9 am by noon he had traveled 162 mi what was his average Speed?
Answer:
54 mph
Step-by-step explanation:
Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54.
A piece of wood 6 m 20 cm long is marked off into 0.1 m lengths.
How many 0.1 m lengths are there?
Answer:
Your Correct answer is 60.2
Step-by-step explanation:
Well, we're solving for how many 0.1m lengths there are in 6m 20cm, there are (60.2) 0.1m lengths.
Can you guys PLZ answer this question really fast
Answer:
5*10^-7
Step-by-step explanation:
HELP HAVING BAD DAY
Find the ratio a:b if it is given that: a 3a=8b
Answer:see answers below
Step-by-step explanation:Slope=
2.000
0.750
=0.375
a−intercept=
3
0
=0.00000
b−intercept=
−8
0
=−0.00000
what is the number of significant figures in 0.502
7k-10=-8-4(k+6)
Helpp
Answer:
k=-2
Step-by-step explanation:
7k-10=-8-4(k+6)
7k-10=-8-4k-24
7k-10=-32-4k
7k-10=-32-4k
11k-10=-32
11k=-22
k=-2
Step-by-step explanation:
7k-10= -8-4(k+6)
7k-10= -8-4k_24
7k+4k= -8-24+10
11k= -22
k= -22/11
k= -2
find the sum of the first 25 multiples of 10.
Answer:
Step-by-step explanation: So the first 25 multiples of 10 are ,
10,10,10,10 ect, to 25 the sum of all of the numbers is 250 i hope this helped!!!
Answer:
3250
Step-by-step explanation:
First 25 multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
21 + 22 + 23 + 24 + 25 = 115
55 + 155 = 210
210 + 115 = 325
325 x 10 = 3250
Hope this helped!
plz help i attached a photo
Which equation represents the graphed line?
Answer:
A.
Hope this helps!!!!!!!
You want to purchase your first house. A conventional mortgage will require a credit score of approximately 630. Your credit score is 560. You need to increase it by 70 points to get to 630. If you increase your score by 12% per year, how many years will it take to lift your score to 630?
Answer:
a) 1.1 yrs
Step-by-step explanation:
THESE ARE OPTIONS FOR THE QUESTION BELOW;
a) 1.1 yrs
b) 2.3 yrs
c) 26 yrs.
d) 12 yrs.
✓At initial year (0 year) credit score =560 points
Then the score is increased by 12% per year, with this 12% increase we have 702.4 points in the 1st year
✓At the first year(1st year)
(12/100)× 560 points of the initial year.
= 627points
✓ At second year (2nd year), the 627points
increases by 12% again.
(12/100)× 627.2 points of the initial year.
= 702.4points
There was 75.2 increase between istyear and second year(702.4points - 627points)
Since, We have 12 month in a year, that means there is 6.2 points per month (75.2/12) for the year .
After second year we had 627points, with increase of 6.2point, Then at 1.1 year we would have score of 630 points
Answer:
11
Step-by-step explanation:
Which transformation has been applied?
Answer:
Its C
Step-by-step explanation: