Using the together rate, it is found that it will take 1.71 hours for Bella and Jordan to rake the leaves.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are given as follows:
Together: 1/x.Bella's: 1/3.Jordan's: 1/4.Hence:
[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]
[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]
[tex]x = \frac{12}{7}[/tex]
x = 1.71.
It will take 1.71 hours for Bella and Jordan to rake the leaves.
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1. Hair Grows an average of. 5 inches in one month. At this rate, how many months will it take to grow 4 inches?
2. A person who weighs 105 pounds on earth would weigh 17.5 pounds on the moon. How much would a 150 pound astronaut weigh on the moon?
(b) A bag contains five red counters and 3 blue counters. One counter is taken at random from the bag. What is the probability of obtaining a red counter?
please can your help !!!!!
Answer:
p(obtaining a red counter) = 0.625Step-by-step explanation:
The total number of counters in the bag is 5 + 3 = 8.
and only 5 are red.
Then
the probability of obtaining a red counter is :
[tex]= \frac{5}{8} = 0.625[/tex]
Solve the following equation:
1. 5-3x = -6(x+2)
Step-by-step explanation:
5 - 3x = -6 ( x + 2 )
5 - 3x = -6x - 12
-3x + 6x = - 12 - 5
3x = - 17
[tex]x = - \frac{17}{3} .. \\ [/tex]
Answer:
Exact Form:
x = −17/3
Decimal Form:
x = − 5.6
Mixed Number Form:
x = − 5 2/3
Which pairs of polygons are similar?
Select each correct answer.
HELP!!!
A box has one red marble one blue marvel and four green marbles of the same shape and size Dan draws a marble randomly from the box places it and then draws another marble randomly what is the probability of drawing two green marbles in a row explain your answer
Answer: 1/16
Step-by-step explanation:
Given that there are 4 green marbles, when Dan takes a marble the first time, the probability is 1/4 as there are 4 green marbles. When he puts it back and draws another one, the probability is still 1/4 because Dan didn't take the marble out of the bag(this is known as with replacement)
∴ the total probability of drawing 2 green marbles with replacement is 1/4 × 1/4= 1/16
Hope this helps
The sum of multiples of five from 10 to 75, inclusive.
The asked sum of multiples of five from 10 to 75, inclusive, is 595.
To find the sum of multiples of five from 10 to 75, inclusive, we can use the formula for the sum of an arithmetic series:
Sum = (n/2) * ([first term] + [last term])
Following the given case, the first term (a) is 10, the last term (l) is 75, and the common difference (d) between consecutive terms is 5 (since we are considering multiples of five).
The number of terms (n) can be calculated as:
n = (last term - first term) / common difference + 1
Let's calculate the number of terms first:
n = (75 - 10) / 5 + 1
n = 65 / 5 + 1
n = 13 + 1
n = 14
Now, we can determine the sum of the multiples of five:
Sum = (14/2) * (first term + last term)
Sum = 7 * (10 + 75)
Sum = 7 * 85
Sum = 595
Therefore, the asked sum of multiples of five from 10 to 75, inclusive, is 595.
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What is the square root of 45
which of the following is the missing value in the table above?
Answer:
Answer is A 216
Step-by-step explanation:
252×6=1512
1512÷7=216
hich represents the inverse of the function f(x) = 4x?
Oh(x)=x+4
Oh(x)=x-4
h(x) = ²x
h(x) = x
Answer:
[tex]h(x) = \frac{1}{4} x[/tex]
Step-by-step explanation:
To find the inverse of a function, the steps are:
Let y= f(x)Make x the subject of formulaReplace x with f⁻¹(x) and y with xIn this case, since h(x) is the inverse function of f(x), we can replace x with h(x) in step 3.
_____
f(x)= 4x
Let y= f(x) [tex]\textcolor{steelblue}{\text{ - step 1}}[/tex]
y= 4x
Divide both sides by 4:
[tex] \frac{1}{4} y = x[/tex]
[tex]x = \frac{1}{4} y \: \: \: \textcolor{steelblue}{\: \text{ - step 2}}[/tex]
Replace x with h(x) and y with x:
[tex]\bf{h(x) = \frac{1}{4} x} \: \: \: \textcolor{steelblue}{\: \text{ - step 3}}[/tex]
Additional:
For a similar question on inverse functions, do check out the following!
https://brainly.com/question/21287415Help me I need the answer on paper help me now
Answer:
a) k = 10 b) k = 7.5
Step-by-step explanation:
a)
( 5k+ 20 ) + ( 7k + 40 ) = 180
12k + 60 = 180
12k = 120
k = 10
b)40 + ( 12k + 10) + 180 - ( 8k + 80 ) = 180
50 + 12k + 180 - 8k - 80 = 180
50 + 12k -8k - 80 = 0
50 + 4k - 80 = 0
30 = 4k
k = 7.5
what is the probability that the first marbles you choose is red and the second is blue
Answer:
2/9
Step-by-step explanation:
What is the slope of the line shown below (3 9)(-4 2)
Answer:
slope = 1
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 9 ) and (x₂, y₂ ) = (- 4, 2 )
m = [tex]\frac{2-9}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
Question 9
Expand and simplify (2x-7)(3x-8).
Answer:
=> Expand by applying the FOIL method
[tex]2x\cdot \:3x+2x\left(-8\right)-7\cdot \:3x-7\left(-8\right)[/tex]
=> combine like terms
[tex]6x^2-37x+56[/tex]
What is the length of the diagonal from B to D of this rectangle? Round your answ
to the nearest tenth of a metre.
Answer: 19.7
Step-by-step explanation:
By the Pythagorean theorem,
[tex](BD)^{2}=8^{2}+18^{2}\\\\(BD)^{2}=388\\\\BD=\sqrt{388} \approx \boxed{19.7}[/tex]
The triangle and the trapezoid have the same area what is the base b of the triangle
Answer:
b =22
Step-by-step explanation:
The formula to calculate the area of a trapezoid:
1/2*(a+b)*h : (a: base, b: base, h: height)
The formula to calculate the area of a triangle:
1/2*a*h (a: base, h: height)
All inputs are given for trapezoid so let's first find the area of trapezoid then we can find the value of b:
1/2*(10+12)*7 = 77 cm^2 is the area of trapezoid
now for the area of triangle:
1/2*b*7 = 77 (it was given that the areas are equal)
first we multiply both sides by 2
7*b = 154 now divide both sides by 7
b = 22
Simplify the algebraic expression by combining like terms. -7x² +19x²
Simplify your answer.
Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the
installment loan has an APR of 10% for 36 months. Find the a) down payment, b) amount financed, c) monthly
payment, d) total amount repaid, and e) finance charge.
The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:
a) down payment = $800.00 ($4,000 x 20%)
b) amount financed = $3,200 ($4,000 - $800)
c) monthly payment = $103.25
d) total amount repaid = $4,517
e) finance charge = $517
How is periodic payment computed?The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:
Data and Calculations:
Auto Price = $4,000
Loan Term = 36 months
Interest Rate = 10%
Down Payment = $800 ($4,000 x 20%)
Monthly Payment = $103.25
Total Loan Amount $3,200.00
Upfront Payment = $800.00 ($4,000 x 20%)
Total of 36 Loan Payments = $3,717. ($103.25 x 36)
Total Loan Interest = $517
Total Cost (price, interest, tax, fees) = $4,517
Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).
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Help please!!!!!!! I'm so confused about this
Answer: I think the answer is A (4,6)
Step-by-step explanation:
Because point B is translated up you have to move the whole shape and pint D would end up at (4,6)
Ayuda por fa es para hoy
Translation: please help it's due today
Would love to help but there is no question to answer
solve pls brainliest
Answer:
The ans of first one is 0/8 = 0
and 6÷0 = undefined....hope this helps:)
What is the probability that a person chosen at random from this group has brown or green eyes? startfraction 3 over 25 endfraction startfraction 7 over 25 endfraction startfraction 13 over 25 endfraction startfraction 17 over 25 endfraction
Using it's concept, it is found that the probability that a person chosen at random from this group has brown or green eyes is of [tex]\frac{13}{25}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that the group has 20 + 6 + 17 + 7 = 50 people, of which 20 + 6 = 26 have brown or green eyes, hence the probability is given by:
p = 26/50 = 13/25.
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Is ab parallel to cd? explain.
yes, because both lines have a slope of 4/3.
yes, because both lines have a slope of 3/4
no, because the slopes of the lines are not equal.
no, because the slopes of the lines are not opposite reciprocals of each other.
don't copy answers off of sites, otherwise i'd report you
Both lines are parallel because: A. both lines have a slope of 4/3.
What is the Slope of a Line?The slope of a line = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
The slope of parallel lines are the same, while the slope of perpendicular lines are negative reciprocals.
Slope of AB = 4 units/3 units = 4/3
Slope of CD = 4 units/3 units = 4/3
Both lines have the same slope, therefore, they are parallel to each other.
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What is the area of the shaded region?
O 21 mm²
O24 mm²
O 42 mm²
48 mm²
y=-8x+1 find the slope and y-intercept in this equation.
Sandeep grew 6 plants with 3 seed packets. With 11 seed packets, how many total plants can Sandeep have in his backyard? Solve using unit rates.
Answer:
22 plants
Step-by-step explanation:
Because 6/3 is 2/1 so 11 seed packets will grow 22 plants.
Question 15 of 25
What is the value of x in the diagram below?
49
LY
14
2
-3(2t-1)=t+t+t+3 pls help
Answer:
t=0
Step-by-step explanation:
First, we expand everything. The left-hand side is -3(2t) - 1(-3), and we expand it to be -6t+3. The right-hand side is t+t+t+3, and we can reduce it to 3t+3. Now that we have both sides of the equation, we set them to each other.
-6t+3=3t+3 (subtract 3 on both sides)
-6t=3t (add 6t to both sides)
9t =0 (divide by 9)
t=0
60 . 25 ,20 15 . ?
Answer:
15, 21, 27, 33, 39, 45, 51 67, 59, 51, 43, 35, 27, 19
20, 27, 34, 41, 48, 55, 62 64, 58, 52, 46, 40, 34, 28
66, 60, 54, 48, 42, 36, 30 6, 12, 18, 24, 30, 36, 42
72, 68, 64, 60, 56, 52, 48 5, 13, 21, 29, 37, 45, 53
50, 47, 44, 41, 38, 35, 32 12, 15, 18, 21, 24, 27, 30
60, 55, 50, 45, 40, 35, 30 19, 22, 25, 28, 31, 34, 37
54, 52, 50, 48, 46, 44, 42 8, 9, 10, 11, 12, 13, 14
69, 62, 55, 48, 41, 34, 27 2, 9, 16, 23, 30, 37, 44
24, 26, 28, 30, 32, 34, 36 3, 7, 11, 15, 19, 23, 27
52, 50, 48, 46, 44, 42, 40 16, 19, 22, 25, 28, 31, 34
70, 65, 60, 55, 50, 45, 40 55, 54, 53, 52, 51, 50, 49
4, 12, 20, 28, 36, 44, 52 11, 15, 19, 23, 27, 31, 35
21, 28, 35, 42, 49, 56, 63 61, 60, 59, 58, 57, 56, 55
10, 15, 20, 25, 30, 35, 40 18, 19, 20, 21, 22, 23, 24
25, 33, 41, 49, 57, 65, 73 58, 56, 54, 52, 50, 48, 46
yan yung bilang TXS me later ;-)
What is the greatest common factor of 12, 2, and 84?
Answer:
2
Step-by-step explanation:
2 can go into 12,2, and 84
To obtain the greatest common divisor of (g.c.d) we must do it in simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 2 \ \ \ 84}\\ \ 6 \ \ \ 1 \ \ \ 42 \end{matrix}\right|\begin{matrix} 2\\ \: \end{matrix} \end{gathered}$}[/tex]
As we can see the number 2, is the only common prime number.
The greatest common factor of 12, 2, and 84 is 2.
What are the roots of the equatio
x² - x -42=0
[tex]x^2-x-42=0\\x^2+6x-7x-42=0\\x(x+6)-7(x+6)=0\\(x-7)(x+6)=0\\x=7 \vee x=-6[/tex]
Answer:
The roots are 7 and -6.
Keys:
[tex]ax^2+bx+c=0[/tex][tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]-(-a)^(^n^) = a^(^n^)[/tex][tex]\sqrt[n]{a}^n = a[/tex][tex]1^a = 1[/tex]When you see a ± in a quadratic equation, you will have multiple solutions; more than one.
Step-by-step explanation:
solve the main expression
[tex]x^2-x-42=0\\x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \left(-42\right)}}{2\cdot \:1}\\\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \left(-42\right)}\\=\sqrt{\left(-1\right)^2+4\cdot \:1\cdot \:42}\\\rightarrow \left(-1\right)^2\\=1^2\\=1\\\rightarrow 4\cdot \:1\cdot \:42\\=168\\=\sqrt{1+168}\\=\sqrt{169}\\=\sqrt{13^2}\\=13\\x_{1,\:2}=\frac{-\left(-1\right)\pm \:13}{2\cdot \:1}[/tex]
solve for x₁
[tex]\frac{-\left(-1\right)+13}{2\cdot \:1}\\=\frac{1+13}{2\cdot \:1}\\=\frac{14}{2\cdot \:1}\\=\frac{14}{2}\\=7[/tex]
solve for x₂
[tex]\frac{-\left(-1\right)-13}{2\cdot \:1}\\=\frac{1-13}{2\cdot \:1}\\=\frac{-12}{2\cdot \:1}\\=\frac{-12}{2}\\=-\frac{12}{2}\\=-6[/tex]