Answer:
B. 7
Step-by-step explanation:
|3x – 1| =
= |3(-2) - 1|
= |-6 - 1|
= |-7|
= 7
Answer: B. 7
At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes?
Answer:
a) Cost of a chicken shawarma wrap?
$10.99
b) Cost of one order of spiced potatoes?
$4.99
Step-by-step explanation:
Cost of a chicken sharwarma wrap = a
Cost of an order of spiced potatoes = b
Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.
3a + 2b = $42.95 .............Equation 1
Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.
5a + 4b = $74.91 ................Equation 2
So we have:
3a + 2b = $42.95 .............Equation 1
5a + 4b = $74.91 ................Equation 2
We use Elimination method to solve for this.
Multiply Equation 1 by coefficient of b in Equation 2
Equation 2 by coefficient of b in Equation 1
3a + 2b= $42.95 .............Equation 1 × 4
5a + 4b = $74.91 ................Equation 2 × 2
12a + 8b = 171.80..............Equation 3
10a + 8b = 149.82..............Equation 4
Subtract Equation 3 from Equation 4
2a = 21.98
a = 21.98/2
a = 10.99
Therefore, a = Cost of Chicken sharwarma wrap = $10.99
Subtitute 10.99 for 9in Equation 1
3a + 2b = $42.95 .............Equation 1
3(10.99) + 2b = 42.95
32.97 + 2b = 42.95
2b = 42.95 - 32.97
2b = 9.98
b = 9.98/2
b = 4.99
b = Cost of an order of spiced potatoes = $4.99
Hence,
The cost of a chicken sharwarma wrap = $10.99
The cost of an order of spiced potatoes = $4.99
Every positive number is also a rational number True or false
Answer:
false
Step-by-step explanation:
hope this helps✨
part 7: please assist me with these problems
Answer: 10) 40° 11) 9.9
Step-by-step explanation:
[tex]\text{Law of Sines:}\quad \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
10) Given: a = 31, b = 20, A = 84°
[tex]\dfrac{\sin 84^o}{31}=\dfrac{\sin B}{20}\\\\\\\dfrac{20\sin 84^o}{31}=\sin B\\\\\\\sin^{-1}\bigg(\dfrac{20\sin 84^o}{31}\bigg)=B\\\\\\39.9^o=B[/tex]
11) Given: a = 18, A = 105°, B = 32°
[tex]\dfrac{\sin 105^o}{18}=\dfrac{\sin 32^o}{b}\\\\\\b=\dfrac{18\sin 32^o}{\sin 105^o}\\\\\\b=9.87[/tex]
Please help <3 Paula is writing short, casual notes for how to find the inverse of a function, f. Those notes are shown below. 1. Write the equation. 2. Replace f(x) with y. 3. Switch x and y. 4. Solve the equation for y. a. If the result does not define y as a function of x, then f has an inverse. b. If the result defines y as a function of x, then f does not have an inverse. 5. Change y to f^−1(x) if f has an inverse. Are Paula's notes correct? If not, identify Paula's error. (1 point) Paula's notes are incorrect. Step 2 should be "Replace f(x) with x." Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse." Paula's notes are correct. Paula's notes are incorrect. Step 4 should be "Solve the equation for x."
Answer:
(3rd listed choice) Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse."
Step-by-step explanation:
If f(y) = x can be solved for a relation for y that is a function, then f(x) has an inverse. It will be the function defined by y.
six over ten >_______> one over two
Answer:
11/20
Step-by-step explanation:
six over ten =6/10=0.6
one over two =1/2=0.5
so one number that can be between them is 0.55
which is 55/100=11/20
The GED preparation class has a teacher to student ratio of 1:12. If there are 36 students in the class, how many teachers are present?
Answer:
3
Step-by-step explanation:
Step 1: Recognize you can put 1:12 into a fraction along with 36 students with 'x' as number of teachers when you have 36 students
[tex]\frac{1}{12}[/tex]
[tex]\frac{x}{36}[/tex]
Step 2: Set the 2 fraction equal to each other
[tex]\frac{1}{12} =\frac{x}{36}[/tex]
Step 3: Cross multiple and solve for 'x'
[tex]12x=36\\x=3[/tex]
Therefore there are 3 teachers present when there are 36 students in the class
Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6t, y = 4t − 3 t = 4
Answer:
The slope of the function is ²/₃ and since the second derivative is zero, the concavity doesn't exist.
Step-by-step explanation:
Given;
x = 6t
y = 4t - 3
point t = 4
[tex]\frac{dy}{dx} = (\frac{dy}{dt} )/(\frac{dx}{dt} )=\frac{\frac{dy}{dt} }{\frac{dx}{dt}} \\\\\frac{dy}{dt} = 4; \frac{dx}{dt} = 6\\\\\frac{dy}{dx} =\frac{4}{6} = \frac{2}{3}[/tex]
The slope of the function is ²/₃
take the second derivative of the function;
the second derivative will be zero since the first derivative is a constant value.
[tex]\frac{d^2y}{dx^2} = 0[/tex]
Since the second derivative is zero, the concavity doesn't exist.
What’s the Answer
please?
Answer:
Widths are 2, 4, 5
Border or the perimeter of all these rectangles = 16
Perimeter of a rectangle
=> 2 ( L + W)
W = Width
L = Length
Area of a rectangle
=> L x W
First rectangle
Perimeter = 2(L+W)
=> 2 (L + 2) = 16
=> 2L + 4 = 16
=> 2L + 4 - 4 = 16 - 4
=> 2L = 12
=> 2L/2 = 12/2
=> L = 6
Length of the First Rectangle = 6
Area = L x W
=> 6 x 2 = 12
Area of the First Rectangle = 12
Second rectangle
Perimeter = 2( L + W)
=> 2 (L + 4) = 16
=> 2L + 8 = 16
=> 2L + 8 - 8 = 16 - 8
=> 2L = 8
=> 2L/2 = 8/4
=> L = 4
Length of the Second Rectangle = 4
Area = L x W
=> 4 x 4
=> 16
Area of the Second Rectangle = 16
Third Rectangle
Perimeter = 2 (L + W)
=> 2 (L + 5) = 16
=> 2L + 10 = 16
=> 2L + 10 - 10 = 16 - 10
=> 2L = 6
=> 2L / 2 = 6/2
=> L = 3
Length of the Third Rectangle = 3
Area = L x W
=> 3 x 5
=> 15
Area of the Third Rectangle = 15
To find which figure covers more spaces, we need to which figure has more area.
=> Rectangle 2 has the largest area = 16
Please help! Find the value of x and the perimeter
Answer:
For the triangle, [tex]x=14[/tex]
For the rectangle, [tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
To solve for x in these equations, we have treat each side as it's just one number - add them all up.
The perimeter of a triangle will be the sum of all 3 of its sides.
So:
[tex]x + 4 + 2x - 3 + x = 57[/tex]
We can combine like terms to get
[tex]4x + 1 = 57[/tex]
Subtract 1 from both sides:
[tex]4x = 56[/tex]
Divide both sides by 4:
[tex]x = 14[/tex]
For the rectangle, the perimeter is [tex]2l + 2w[/tex], so we can add up the sides.
[tex]5x - 4 + 5x - 4 + 3x + 2 + 3x + 2 = 36[/tex]
Combine like terms:
[tex]16x - 4 = 36[/tex]
Add 4 to both sides:
[tex]16x = 40[/tex]
Divide both sides by 18:
[tex]x = \frac{40}{16}[/tex]
Simplifying this fraction gets us
[tex]\frac{5}{2}[/tex]
Hope this helped!
What’s the ratio for this rectangle
Answer: 9 to 4
Step-by-step explanation:
Using the grids you can count them to see what the width is.
The width is 9 units and the height is 4 units so the ration will be 9 to 4
The ratio of width of the rectangle to the height of the rectangle is 9 to 4.
A rectangle is a quadrilateral with four sides and four angles. It is a type of geometric shape characterized by its properties, including having opposite sides that are equal in length and all angles measuring 90 degrees (right angles).
In the given rectangle, there are 4 units or boxes in the height.
There are 9 units or boxes which makes width of the rectangle.
Hence, the ratio of width of the rectangle to the height of the rectangle is 9 to 4.
To learn more on Rectangles click here:
https://brainly.com/question/15019502
#SPJ4
PLEASE ANSWER!!! I WILL MARK YOU AS BRAINLIEST!!!! An object is launched straight up into the air with an initial velocity of 40 m/s, from a height 30 m above the ground. Assuming that gravity pulls it down, changing its position by about 4.9 m/s2, after how many seconds will the object hit the ground? Enter your answer as rounded to the nearest tenth, such as: 42.5
Answer:
6.7 seconds
Step-by-step explanation:
Let's calculate the maximum height covered by the object
Max height= U²Sin²tita/2g
Where g is acceleration due to gravity
Max height= 40²(sin90)²/(2*9.81)
Max height= 1600/19.62
Max height=81.55 m
Total max height= 30+81.55
Total max height= 111.55 m
Time t it will take to travel from the max height at acceleration of 4.9 m/s²
S= ut + ½at²
u= 0 at Mac height
S= 111.5 m
111.5 = ½(4.9)t²
223/4.9= t²
45.5= t²
6.745 seconds= t
6.7 seconds= t
-3 yz; use y = 3, and z=2
Answer:
-18
Step-by-step explanation:
-3 (3)(2)
-9 * 2
-18
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 18}}}}}[/tex]
Step-by-step explanation:
Given, y = 3 , z = 2
To find : value of -3yz
plug the values of y and z
[tex] \sf{ - 3 \times 3 \times 2}[/tex]
Multiply the numbers : - 3 and 3
⇒[tex] \sf{ - 9 \times 2}[/tex]
Multiply the numbers : -9 and 2
⇒[tex] \sf{ - 18}[/tex]
Hope I helped!
Best regards!!
Everything in a store is discounted by 25%. What is the sale price of a clock with a regular price of $24.60?
Answer:
$24.35
Step-by-step explanation:
sale price⇒ total price-discount price
s.p=$24.60-25/100 ∴25%⇒25/100
s.p⇒$2460/100-25/100 ∴24.60⇒2460/100
s.p⇒$24.35
⇒$24.35
order for least to greatest 1.2, 0.12, 12, 0.012
Answer:
is this helpful
Step-by-step explanation:
0.012,0.12,1.2,12
Answer:
0.012, 0.12, 1.2, 12
Step-by-step explanation:
Look at where the point is located to help figure out the order
A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted
Answer:
there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
Step-by-step explanation:
Given that:
A marketing organization claims that more than 10% of its employees are paid minimum wage.
The null hypothesis is:
[tex]H_o : p = 10[/tex]
The alternative hypothesis is:
[tex]H_1 : p > 10[/tex]
If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted
i.e Decision Rule: fails to reject the null hypothesis
Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
5. Taking a cruise is a costly discretionary expense. In a recent year, the top five
cruise lines in the world had this many passengers:
4,133,000 2,369,000 1,295,000 928,000 679,000
Round your answers to the nearest integer.
a. The computations will be easier to work if you view this problem in terms
of thousands of passengers. Represent each number in terms of thousands
of passengers.
b. What is the mean number of passengers for these five cruise lines? (Give
the full number.)
c. What is the range? (Give the full number.)
d. What is the standard deviation? (Give the full number.)
Answer:
(a) X(in '000s) = 4133, 2369, 1295, 928, 679.
(b) The mean number of passengers for these five cruise lines is 1880.8.
(c) The range of the data is 3454.
(d) The standard deviation of the data is 1414.75.
Step-by-step explanation:
We are given that in a recent year, the top five cruise lines in the world had this many passengers:
4,133,000, 2,369,000, 1,295,000, 928,000, 679,000
(a) Let X = Number of passengers in the top five cruise lines in the world
Representing each number in terms of thousands of passengers below;
X(in '000s) = 4133, 2369, 1295, 928, 679
(b) The mean of the data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
Here, n = number of observations in data = 5
So, [tex]\bar X[/tex] = [tex]\frac{4133+2369+1295+928+679}{5}[/tex]
= [tex]\frac{9404}{5}[/tex] = 1880.8
Hence, the mean number of passengers for these five cruise lines is 1880.8.
(c) The range of the data is calculated by the following formula;
Range = Highest value - Lowest value
= 4133 - 679 = 3454
Hence, the range of the data is 3454.
(d) The standard deviation of the data is given by the following formula;
Standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]
= [tex]\frac{(4133-1880.8)^{2}+(2369-1880.8)^{2}+.......+(679-1880.8)^{2} }{5-1}[/tex]
= 1414.75
Hence, the standard deviation of the data is 1414.75.
The equation $y = -6t^2 - 10t + 56$ describes the height (in feet) of a ball thrown downward at 10 feet per second from a height of 56 feet from the surface from Mars. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest hundredth.
Answer:
2.33 Seconds
Step-by-step explanation:
The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars. We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.
To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0. So we simply set our equation to 0 and solve for t.
y = -6t^2 - 10t + 56
0 = -6t^2 - 10t + 56
0 = -1 (6t^2 + 10t + -56)
0 = -1 (3t - 7) (2t + 8)
(3t - 7) = 0 OR (2t + 8) = 0
3t = 7 OR 2t = -8
t = 7/3 OR t = -4
Since time will not be negative, we will want to choose the positive solution for this quadratic equation.
Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.
Cheers.
Answer:
2.33
Step-by-step explanation:
Setting $y$ to zero, we find the following:
\begin{align*}
-6t^2 - 10t + 56 &= 0 \\
\Rightarrow \quad 6t^2 + 10t - 56 &= 0 \\
\Rightarrow \quad 3t^2 + 5t - 28 &= 0 \\
\Rightarrow \quad (3t-7)(t+4) &= 0.
\end{align*}As $t$ must be positive, we can see that $t = \frac{7}{3} \approx \boxed{2.33}.$
47. Find the perimeter of the
semicircle of radius 7 cm.
(Take pi as 22/7
A. 16 cm
B. 24 cm
C. 36 cm
D. 38 cm
E.58 cm
Answer:
thee correct answer is in number.C. 36
Answer:
D
Step-by-step explanation:
f(x) = x/2 - 1 find f (12)
Answer:
5
Step-by-step explanation:
Hi,
f(12)= 12/2 -1 = 6 -1 = 5
Thanks
Answer:
5
Step-by-step explanation:
f(x) = x/2 - 1
Let x = 12
f(12) = 12/2 -1
= 6-1
= 5
The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height. Rearrange the quantities in this formula to give a new formula for the width of the rectangular prism.
Answer:
w = [tex]\frac{V}{lh}[/tex]
Step-by-step explanation:
We can find the formula for the width by isolating w:
V = lwh
Divide each side by lh to isolate w:
[tex]\frac{V}{lh}[/tex] = w
2. What is the sum of a number and five?
Answer:
n + 5
Step-by-step explanation:
"The sum of a number and 5" can be written symbolically as n + 5.
A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term
Answer: the first term is 45
Step-by-step explanation:
Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20
So ar²= 20 and we make this equation i
Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)
Further simplification gives us
3a= a/(1-r)
We simplify Futher by multiplying both sides by (1-r)
3a.(1-r) = a/(1-r).(1-r)
3a(1-r)=a
= 3a-3ar=a
Make 3ar the subject of the formula
3ar= 2a and lets make this equation (ii)
Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²
Ar²/r² = 20/r²
A=20/r²lets make this equation (iii)
Step 4: subtitle a as 20/r² into equation (ii)
Since 3ar=2a
Then 3.(20/r²).r = 2. 20/r²
= (60/r²) .r = 40/r²
60/r = 40/r2
Multiplying both sides by r² gives us
60r = 40
Divide both sides by 20 gives us
= 3r= 2
Divide both sides by 3 gives us
= r = 2/3
Step 5: substitute r for 2/3 in equation i
ar²= 20
a. (2/3)2 = 20
= a.4/9 = 20
= 4a = 180
= a = 180/4
a = 45
Write a ratio for the following description: For every 6 cups of flour in a bread recipe, there are 2 cups of milk. Type your answer in the format: 3:4 with no spaces. Describe a situation that could be modeled with the ratio 4: 1.
Answer:
6:2 or 1:3
Step-by-step explanation:
Not really sure how to explain this, but I hoped this helped!
Determine if 0.292992999299992999992... is rational or irrational
and give a reason for your answer.
Answer:
Irrational
Step-by-step explanation:
Can't be put into a fraction.
The Pampered Pet Hotel cares for dogs and cats while their owners are away. The daily fee for boarding a dog at the hotel is different from the fee for boarding a cat. On Tuesday, 11 dogs and 14 cats stayed at the hotel and the hotel earned \$573.25 . On Friday, 22 dogs and 9 cats stayed at the hoteland the hotel earned 790.25How much does it cost per day to board a dog and a cat at the pet hotel?
Step-by-step explanation:
Let the rate of boarding a dog and a cat be x and y respectively.
Now,
11x + 14y = 573.2522x + 9y = 790.25Further solving the two equations :
Y = $ 18.75
X = $ 28.25
Given a sample with 5 scores: 4, 6, 8, 10, and y, and the mean of this sample is 6, what is the variance of the sample
Answer:
8+10+4+6+y /5=6
find lcm which is 5
(8+10+4+6+y/5)5=(6)5
8+10+4+6+y=30
28+y=30
y=30-28
y=2
There are three motors available to repair Ralph’s vacuum cleaner. Motor #1 has a 65% chance of breaking by the end of the week. Motor #2 has a 35% chance of breaking by the end of the week. Motor #3 has a 5% chance of breaking by the end of week. Suppose that Ralph randomly chooses one of the three motors so that each is equally likely, and then the motor does break by the end of the week. What is the conditional probability that Ralph installed motor #1?
Answer:
0.619
Step-by-step explanation:
from the question we have the following data:
probability of motor 1 breaking = 65% = 0.65
probability of motor 2 breaking = 35% = 0.35
probability of motor 3 breaking = 5% = 0.05
since we have 3 motors the probability of any of them breaking down is = [tex]\frac{1}{3}[/tex]
but what the question requires from us is the conditional probability of the first one being installed
we have to solve this questions using bayes theorem
such that:
[tex]\frac{0.65*\frac{1}{3} }{0.65*\frac{1}{3}+0.35*\frac{1}{3}+0.05*\frac{1}{3} }[/tex]
= [tex]\frac{0.2167}{0.2167+0.1167+0.0167}[/tex]
= [tex]\frac{0.2167}{0.3501}[/tex]
= 0.618966
approximately 0.619
therefore the conditional probability ralph installed the first motor is 0.619
A 16 and 12 km of road music players work with their 214 km of road per week how many weeks will it take to repair a stretch of road
Answer:
i tried to answer but the question made no sense
Step-by-step explanation:
40 points! PLEASE HELP ASAP Find the area A of △JKL with vertices J(−4,10), K(0,3), and L(−4,−2). A= ___ square units
Answer:
24
Step-by-step explanation:
I belieive it would be 24
correct me if im incorrect
The probability that an online student owns a laptop is 0.82 and the probability that a student owns a desktop is 0.65. If the probability that a student owns both is 0.55, find the probability that a student owns a laptop or a desktop.
Answer:
The probability that a student owns a laptop or a desktop is 92%.
Step-by-step explanation:
We are given that the probability that an online student owns a laptop is 0.82 and the probability that a student owns a desktop is 0.65. The probability that a student owns both is 0.55 .
And we have to find the probability that a student owns a laptop or a desktop.
Let the probability that a student owns a laptop = P(L) = 0.82
The probability that a student owns a desktop = P(D) = 0.65
The probability that a student owns both laptop and desktop = P(L [tex]\bigcap[/tex] D) = 0.55
Now, the probability that a student owns a laptop or a desktop is given by = P(L [tex]\bigcup[/tex] D)
P(L [tex]\bigcup[/tex] D) = P(L) + P(D) - P(L [tex]\bigcap[/tex] D)
= 0.82 + 0.65 - 0.55
= 0.92 or 92%
So, the probability that a student owns a laptop or a desktop is 92%.