Using the together rate, it is found that:
It takes 3 hours for the first handyman to do the home repair individually.It takes 6 hours for the second handyman.The together rate is the sum of each separate rate.
In this problem, we have that:
The together rate is of [tex]\frac{1}{2}[/tex].The first man takes x hours, hence his rate is of [tex]\frac{1}{x}[/tex]The second man takes x + 3 hours, hence his rate is of [tex]\frac{1}{x + 3}[/tex]Applying the together rate:
[tex]\frac{1}{x} + \frac{1}{x + 3} = \frac{1}{2}[/tex]
[tex]\frac{x + 3 + x}{x(x + 3)} = \frac{1}{2}[/tex]
[tex]4x + 6 = x^2 + 3x[/tex]
[tex]x^2 - x - 6 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = -1, c = -6[/tex], hence:
[tex]\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-6) = 25[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{25}}{2} = 3[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{1 - \sqrt{25}}{2} = -2[/tex]
We are interested into the positive root, then [tex]x = 3[/tex], [tex]x + 3 = 6[/tex], which means that:
It takes 3 hours for the first handyman to do the home repair individually.It takes 6 hours for the second handyman.You can learn more about the together rate at https://brainly.com/question/25159431
hi so my teacher gave me this and i am not sure if i did it right, this is what i put for the first Question
degree = 3
leading coefficient = 1
and the it is the arrows are going up/down so its a odd degree
and i put that the answer is d i did the rest like this please tell me where i went wrong/if i did
Answer:
First, let's look at some polynomials of even degree (specifically, quadratics in the first row of pictures, and quartics in the second row) with positive and negative leading coefficients:❤
What's The Interest Rate?
I = $200
P = $800
T = 24 months
how do i solve for this?
Step-by-step explanation:
1. KOL = 90
2.KLO = 25
3.NL= 30
4.KL = 17
workings
1.for angle
KOL =90 : the diagonals of rhombus are perpendicular to each other
2. angle LKO + angle KLO + angle KOL =180 : angles of triangle are supplementary(add to 180)
65+ KLO + 90 =180
KLO +155
KLO = 180 - 155
KLO = 25
3. NL = NO + LO: diagonals of the rhombus bisect each other
NL = 15 +15
NL = 30
4. Cos 25 = 15/KL
multiply by KL on both sides
KL × Cos 25 =15
divide by cos 25 on both sides
KL = 17
12/14 , 15/, 19/24 which one is greater?
Step-by-step explanation:
12/14= 85.7143% 19/24= 79.1667%
A pipe that is 165 feet long is cut into three parts whose lengths are in the ratio 2 : 5 : 8. Find the length of the longest piece. Longest piece: 2 feet
Answer:
88 ft
Step-by-step explanation:
Let's say the shortest piece has length 2x, so the medium piece has length 5x and the longest piece has length 8x. Added together, they equal 165, so
2x + 5x + 8x = 165
15x = 165
divide both sides by 15 to isolate x
x = 11
8x = longest piece = 88 ft
1. A FoodPanda rider believes that his tips from various customers has a slightly right skewness with a mean of RM10 and a standard deviation of RM2.50. a. Calculate the mean and standard deviation of the sampling distribution of this tips for a sample of 25 customers. Describe the shape of its sampling distribution. [4 marks]
Using the Central Limit Theorem, it is found that:
The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, if the sample size is at least 30, the shape is approximately normal, otherwise it still is skewed.In this problem, the mean is of 10 and the standard deviation is of 2.50, hence [tex]\mu = 10, \sigma = 2.5[/tex]
Sample of 25, hence [tex]n = 25, s = \frac{2.5}{\sqrt{25}} = 0.5[/tex]
Since the underlying distribution is skewed and the sample size is less than 30, the shape of the sampling distribution is slightly right skewed.
The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.
A similar problem is given at https://brainly.com/question/25817309
Which of the following is most likely the next step in the series?
Answer:
The answer is C
Step-by-step explanation:
(I'm not completely sure)
316=5
459=6
248=4
739=?
Answe
i think it's 9
Step-by-step explanation:
316 fỉst number is 3 +2 =5
459 first number is 4+2=6
2+2=4
7+2=9:)))
Find the slope of the line that passes through (19, 72) and (20, -1).
Step-by-step explanation:
please mark me as brainlest
If a learner’s permit holder is convicted of committing a moving violation, he/she
A must restart the 9 month waiting period to be eligible for a provisional license.
B must complete the Driver Improvement Program on line
C must wait until he/she is 21 to receive a driver’s license.
D none of the above.
Evaluating Expressions with Real Numbers - Item 8069
Which statement best explains why this expression is equal to 1?
0.54 +0.27
0.24 + 0.57
Answer:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. For example 0.54+0.27 and 0.24 +0.57, If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
hope this helps.
Can anyone understand what this symbol is , I'm viewing scratch work to understand what to do with a problem but I can't understand what this is, is this cursive or something?
What is the equation of this line?
y=6x−14
y=14x−6
y=6x−4
y=4x−6
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
PLZ answer correctly! Brainliest!
Answer:
[tex]A=\left(-1\dfrac{5}{5}\right)=(-2)\\\\B=\left(-\dfrac{4}{5}\right)\\\\C=\left(\dfrac{3}{5}\right)[/tex]
Step-by-step explanation:
Look at the picture.
[tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex]
Morgan Office Supply sells 8 reams of Brand X paper for $40 and 4 reams of Brand Y paper for $19. What is the cost savings per ream of paper for the cheapest brand?
Answer:
$0.25 per ream
Step-by-step explanation:
The costs per ream are ...
X: $40/(8 reams) = $5/ream
Y: $19/(4 reams) = $4.75/ream
The savings per ream is $5.00 -4.75 = $0.25 for the cheapest brand.
Which triangle has vertices (–3, –5), (7, 4), (0, 4)?
Answer:
see attached
Step-by-step explanation:
The one that matches the triangle shown in the attachment has the given vertices.
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
Step-by-step explanation:
When it's clear, the easiest way to do the problem is to used the x and y intercepts.
This question is one of the clear one.
The x intercept is 2,0
The y intercept is 0,1
You want the slope.
m = (y2 - y1)/(x2 - x1)
y2 = 1
y1 = 0
x2 = 0
x1 = 2
m = (1 - 0)/(0 - 2)
m = 1 / -2
m = -1/2
In this case the slope and gradient have the same value -- - 1/2 or - 0.5
what is c3 - 1 when c = 4
whats 3y/2 if y = -2
Answer:
-3
Step-by-step explanation:
3(-2)/2
-6/2 = -3
A school has 2880 students. The following information refers to the students:
7/20 are freshmen, 2/9 are juniors, 1/6 are seniors. What fractional part are sophomores?
How many students are sophomores?
Answer:
752
Step-by-step explanation:
7/20 of 2880 = 1008
2/9 of 2880 = 640
1/6 of 2880 = 480
2880 - 1008 - 640 - 480 = 752
3. The length of a rectangle is 20 meters long and the width is 15 meters. Find the
ratio of the length to the width of the rectangle. Then simplify the ratio.
Answer:
4/3 1.333 1 1/3
Step-by-step explanation:
Simplify.
(2a2−3ab+5b2)−(a2−2ab+3b2)
A.a4−a2b2+2b4
B.3a2−5ab+8b2
C.a2−5ab+2b2
D.a2−ab+2b2
Simplify. (6x−3)−(2x−2)
A.4x2−1
B.4x−1
C.4x−5
D.4x2−5
Answer:
DBStep-by-step explanation:
You may find this easier if you distribute the minus sign first.
1)2a^2 -3ab +5b^2 -a^2 +2ab -3b^2
= (2 -1)a^2 +(-3+2)ab +(5 -3)b^2
= a^2 -ab +2b^2 . . . . . matches choice D
__
2)6x -3 -2x +2
= (6 -2)x +(-3 +2)
= 4x -1 . . . . . matches choice B
How can you simplify this expression?
Answer:
add the exponents
Step-by-step explanation:
pls help!ill give brainlest to the smartest!
(5 + 13 + 21 + ......... + 18) = ?
Correction:
5+13+21+...+181
First term = 5
Common difference = 13-5 = 8
Last term = an = 181
⇛a+(n-1)d = 181
⇛5+(n-1)(8) = 181
⇛ 5+8n-8 = 181
⇛ 8n-3 = 181
⇛ 8n = 181+3
⇛ 8n = 184
⇛n = 184/8
⇛ n = 23
Sum of the first n terms = Sn = (n/2)(a+an)
Sum of 23 terms = S 23
⇛(23/2)(5+181)
⇛ (23/2)(186)
⇛23×93
⇛2139
What is the volume if a cylinder with height 13 and radius 6?
How many days are in 52 weeks?
Answer:
A year but -1.
Step-by-step explanation:
52x7=364.
Hope this helps!
Answer:
there are 364 days in 52 weeks.
Step-by-step explanation:
To find out how many days are in 52 weeks you have to multiply the amount of days there are in a week by 52, there are 7 days in a week and 7 times 52 is 364 so the answer is 364
A pine tree measured 40 1 / 2 feet tall. Over the next 7 1 / 2 years, it grew to a height of 57 feet. During the 7 1/2 years, what was the average yearly growth rate of the height of the tree?
The average yearly growth rate of the height of the tree is 2 1/3 feet
Given:
original height of the pine tree = 40 1/2 feet
Height in next 7 1/2 years = 57 feet
Change in height = Height in next 7 1/2 years - original height of the pine tree
= 57 height - 40 1/2 feet
= 17 1/2 feet
Average growth rate yearly = Change in height / number of years
= 17 1/2 feet ÷ 7 1/2 years
= 35/2 ÷ 15/2
= 35/2 × 2/15
= (35 × 2) / (2 × 15)
= 70/30
= 2 10/30
= 2 1/3 feet
Therefore, the average yearly growth rate of the height of the tree is 2 1/3 feet
Learn more about fraction:
https://brainly.com/question/1622425
The length of the opposite side of a right triangle is 2cm longer than the length of the adjacent side. The hypotenuse is 4cm longer than the adjacent side. Use a quadratic equation to determine the perimeter of the triangle.
PLEASE HELP
Answer:
Step-by-step explanation:
Let x be the adjacent side length in cm
opposite side is x + 2 cm
hypotenuse is x + 4 cm
x² + (x + 2)² = (x + 4)²
x² + (x² + 4x + 4) = (x² + 8x + 16)
x² - 4x - 12 = 0
(x - 6)(x + 2) = 0
so either
x - 6 = 0 x = 6
or
x + 2 = 0 x = -2
positive answer is x = 6 as negative length does not make sense
opposite side is 6 + 2 = 8
hypotenuse is 6 + 4 = 10
perimeter is 6 + 8 + 10 = 24 cm
What is 26% as a fraction in simplest form?
A. 26/100
B. 26/10
C. 6/25
D. 13/50
Answer:
it'd be d: 13/50 !!
Answer:
D. 13/50
Step-by-step explanation:
0.26 ⇔ 26/100 ⇔ 13/50