Answer:
7a-12Step-by-step explanation:
[tex]4a-3\left(4-a\right)\\\\\mathrm{Expand}\:-3\left(4-a\right):\quad -12+3a\\\\=4a-12+3a\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\=7a-12[/tex]
The base of a rectangular prism has an area of 888 square meters. The height of the rectangular prism is 555 meters.
The box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges. 0 300 600 900 1,200 $1,500 a. Estimate the median. B. Estimate the first and third quartiles. C. Determine the interquartile range. D. Beyond what point is a value considered an outlier? E. Identify any outliers and estimate their value. F. Is the distribution symmetrical or positively or negatively skewed?
Answer:
(a) The median estimate is 450.
(b) The first and third quartiles are 300 and 750 respectively.
(c) The interquartile range is 450.
(d) The particular value which is less than 150 or it is more than 1200, is considered as an outlier.
(e) Yes, there is one outlier in our data which is the value of 1,500.
(f) The distribution is positively skewed.
Step-by-step explanation:
We are given that the box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges. 0, 300, 600, 900, 1,200, 1,500.
(a) As we can see in the box plot that the middlemost data lies between 300 and 600, that means;
Median is given by the average of the two numbers, i.e;
Median = [tex]\frac{300+600}{2}[/tex]
= [tex]\frac{900}{2}[/tex] = 450
So, the median estimate is 450.
(b) As we know that the first quartile represents 25% of the data values and the third quartile represents 75% of the data values.
So, from the box plot given; we can observe that the first quartile, [tex]Q_1[/tex] = 300 and the third quartile lies between the values of 600 and 900, i.e;
Third quartile, [tex]Q_3[/tex] = [tex]\frac{600+900}{2}[/tex]
= [tex]\frac{1500}{2}[/tex] = 750
So, the first and third quartiles are 300 and 750 respectively.
(c) The interquartile range is given by the following formula;
Interquartile range = Third quartile - First quartile
= [tex]Q_3-Q_1[/tex]
= 750 - 300 = 450
(d) From the box plot; it is clear that if the particular value is less than 150 or it is more than 1200, then it is considered as an outlier.
(e) Yes, there is one outlier in our data which is the value of 1,500.
(f) The distribution is positively skewed because the more values are on the right side of the curve and it skewed towards the right.
6. Simplify: i) (a + b)(5a – 3b) + (a – 3b)(a – b) ii) (a – b) (a² + b² + ab) – (a + b) (a² + b²– ab) iii) (b² – 49) (b + 7) + 343
Step-by-step explanation:
i).(a + b)(5a – 3b) + (a – 3b)(a – b)
Expand each of the terms separately
That's
(a + b)(5a – 3b) = 5a² - 3ab + 5ab - 3b²
= 5a² + 2ab - 3b²
(a – 3b)(a – b) = a² - ab - 3ab + 3b²
= a² - 4ab + 3b²
Add the terms
That's
5a² + 2ab - 3b² + a² - 4ab + 3b²
Group like terms
5a² + a² + 2ab - 4ab - 3b² + 3b²
We have the answer as
6a² - 2abii)(a – b) (a² + b² + ab) – (a + b) (a² + b²– ab)
Expand the terms separately
For (a – b) (a² + b² + ab)
Using the rule
x³ - y³ = (x - y)( x² + xy + y²) expand the expression
So we have
(a – b) (a² + b² + ab) = a³ - b³
For (a + b) (a² + b²– ab)
Using the rule
x³ + y³ = (x + y)( x² - xy + y²) expand the expression
We have
(a + b) (a² + b²– ab) = a³ + b³
Subtract the terms
That's
a³ - b³ - (a³ + b³)
Remove the parenthesis
a³ - b³ - a³ - b³
Group like terms
a³ - a³ - b³ - b³
We have the final answer as
-2b³iii)(b² – 49) (b + 7) + 343
Expand the terms
That's
b³ + 7b² - 49b - 343 + 343
We have the final answer as
b³ + 7b² - 49bHope this helps you
Write the ratios for sin A and cos A.
Answer:
sinA = 35/37 & cosA = 12/37
Step-by-step explanation:
Una receta exige 8 litros de agua: si tuvieras una jarra de 8 litros no habría problema, pero no posees más que 2 jarras sin graduar, una de 10 litros y otra de 6. ¿Es posible medir los 8 litros que necesitamos? —Explicar procedimiento
Answer:
First, you fill the 6L cup.
Then you add everything to the 10L. There would be a difference of 4L.
You put a line on the 6L added. And then you fill it up until it completes the 10L. Repeat the process 2 times adding water up to 10L and adding the 4L difference to the recipe.
Step-by-step explanation:
- 8L are needed for a recipe.
- You have a 6L jug and a 10L jug without graduation.
- You fill the 6L of the jug and put it in the 10L jug, and put a line that marks the 6L.
- Then you complete the 10L, empty until the water is with the same 6L of water, and repeat the process.
- So you complete 4L without having graduated jugs.
Which pair of numbers has a GCF of 3? Group of answer choices (A) 3 and 18 (B) 8 and 24 (C)12 and 18 (D) 1 and 3
Answer:
A, B and C
Step-by-step explanation:
A) 3 and 18 = has 3 as factor
B) 8 and 24 = has 3 as factor
C) 12 and 18 = has 3 as factor
D) 1 and 3 = has as factor of 1 and 3
so the answer is A, B and C
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour. If she is asked to
start before 7 a.m., Jeri charges 1.5 times the regular amount. If she made $29.25
on a job that began at 5 am, how many hours did Jeri work?
h = the number of
hours
that Jeri worked
1.5(3h + 4.50) = 29.25
1.50 3
+ 1.5(4.50) = 29.25
4.5h + 6.75 =
I
6.75
4.5h =
- 6.75
22.5
22.5
4.5h
4.5
h=
Answer:
5 hours 22 minutes
Step-by-step explanation:
Let us represent the number of hours that Jeri worked as: h
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour
= $4.50 + $3 × h
= $4.50 + 3h
If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.
= 1.5 × ($4.50 + 3h)
If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?
Hence, we have the final equation;
= 1.5 × ($4.50 + 3h) = $29.25
= 6.75 + 4.5h = 29.25
Collect like terms
= 4.5h = 29.25 - 6.75
4.5h = 22.5
h = 22.5/4.5
h = 5.3571428571
Approximately= 5.36 hours
1 hour = 60 minutes
0.36 hour =
60 × 0.36
= 21.6 minutes
Approximately ≈ 22 minutes
Therefore, Jeri worked for 5 hours 22 minutes
What is a exponent and how would I solve something with one?
Answer:
this is a hard one can u explain it more
Step-by-step explanation:
Answer: Hi!
An exponent is is a number that represents how many times a number is being multiplied by itself. It is shown as either a small number positioned on the top tight of a term or the symbol ^ between the term and the exponent. For example, if you had 4 to the power of 2, you would multiply 4 by itself 2 times. 4 * 4 is equal to 16.
Hope this helps!
please help if you can :)
a) n² + 6
n=1
1² + 6 = 1 + 6 =7
n=2
2² + 6 = 4 + 6 = 10
n=3
3² + 6 = 9 + 6 =15
n=4
4² + 6 = 16 + 6 =22
7, 10, 15, 22
n=10
10² + 6 = 100 + 6 =106
10 th term-106
b) 3n²
n=10
3 x 10² = 3 x 100= 300
10th term- 300
Hope this helps!
30 POINTS AND BRAINLIEST PLEASE HELP!!! Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are 100 dogs in the school. 62 have blue ribbons, 55 have green ribbons, and 63 have white ribbons. 32 have a blue ribbon and a green ribbon; 31 have a green ribbon and a white ribbon; 38 have a blue ribbon and a white ribbon. 16 have all three ribbons. How many dogs have not learned any tricks?
Answer:
What are the list of answers for this question? That would kind of help narrow some of my answers down.
Step-by-step explanation:
-5r + 2r = -3 aLGREBRA
Answer:
r = 1
Step-by-step explanation:
We can combine like terms, getting -3r = -3.
Then we can divide both sides by -3, and get r = 1.
Answer:
r = 1
Step-by-step explanation:
First, we'll simplify
-5r + 2r = -3
-3r = -3
Then, we divide
-3 divided by - 3 is equal to 1
Therefore, r = 1
Hope this helps!
please help! will give brainliest Find the value of x. A. 74 B. 52 C. 64 D. 244
Answer:
C. 64
Step-by-step explanation:
x° = 1/2[(360° - 2*58°) -2*58°]
x° = 1/2[(360° - 116°)- 116°]
x° = 1/2[244°- 116°]
x° = 1/2[128°]
x° = 64°
x = 64
Abby scored 87, 86, 93, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an average of exactly 91 on her history quizzes.?
A.94 B.98 C.100 D.90
Answer:
(C) 100
Step-by-step explanation:
The average of a data set is just all the numbers added up divided by the amount of numbers.
If we already have 4 pieces of data and we're looking for one more, we have 5 data pieces.
This means that the sum of all of the numbers in the data set will be [tex]91\cdot5=455[/tex] if the mean is 91.
We can find the missing value by adding up what we know and subtracting from 455.
[tex]87+86+93+89=355\\\\455-355=100[/tex]
So Abby needs a 100% on her fifth history quiz to have an average of 91 on all her quizzes.
Hope this helped!
A score which Abby needs to get on her fifth quiz to have an average of exactly 91 is equal to: C. 100.
What is an average?An average is also referred to as mean and it can be defined as a ratio of the sum of the total number in a data set to the frequency of each data.
In this exercise, we would assign a variable (S) to the unknown score from the fifth quiz with an average of exactly 91. Thus, the average for the fifth quiz is given by this mathematical expression:
91 = (87 + 86 + 93 + 89 + S)/5
91 = (355 + S)/5
Cross-multiplying, we have:
455 = 355 + S
S = 455 - 355
S = 100.
Read more on average here: https://brainly.com/question/9550536
#SPJ2
if a triangle has a heig of 14 inches and base of 9 inches whats its area?
Answer:
63 inches
Step-by-step explanation:
the formula for the area of a triangle is
a = 1/2 bh
plug in the numbers
a = 1/2(9)(14)
9 times 14 is 126
a = 1/2(126)
half of 126 (or 126 divided by 2)
area = 63 inches
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other
ingredients. One gram of carbohydrate contains 4 calories.
The equation 4c + 5 = 27 represents the relationship between these quantities.
1. What could the 5 represent in this situation?
2. Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct.
3. Find the solution to the equation.
Answer:
Step-by-step explanation:
Total calories in a granola bite= 27
The calories contained are from grams of carbohydrates and other ingredients
One gram of carbohydrate contains 4 calories
The equation 4c + 5 = 27 represents the relationship between these quantities.
1. 5 from the equation represent calories from other ingredients
2. Neither 8 nor 3 is the solution to the equation
4c + 5 = 27
When 8 is the solution
4(8)+5=27
32+5=27
37=27
When 3 is the solution
4(3)+5=27
12+5=27
17=27
Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.
3. Solution to the equation
4c + 5 = 27
4c= 27-5
4c = 22
Divide both sides by 4
c=22/4
=5 2/4
=5 1/2
The solution to the equation is 5 1/2
montel collected 26 leaves for his science project. he wants to put 6 leaves on a page . which shows how many pages montel will need?
Answer:
4 full pages or 5 to use all the leaves
Step-by-step explanation:
26 leaves
6 per page
26/6 ≈ 4.33
4 full pages or 5 for all leaves
I need The answers now hellllp please
Answer:
Step-by-step explanation:
6A = 60°
6B = 34°
Answer:
6a) 60 degree
6b) 27 degree
7a) b=60 degree and a=30 degree
7b) x=36 degree and x=36 degree
8a) 95 degree
8b) 100 degree
i posted the 9 th one and all the above ones with proper workout with your other question
Step-by-step explanation:
Find f(2) given that f(x)=x2−5x+7.
f(2)=_____
Answer:
f(2) = 1
Step-by-step explanation:
To calculate f(2), substitute x = 2 into f(x) , that is
f(2) = 2² - 5(2) + 7 = 4 - 10 + 7 = 1
(01.02 HC) Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why? PLEASE HELP
Answer:
Step-by-step explanation:
Given expression
7.50h + 0.20s + 40
A)
Coefficients are 7.50 and 0.20
Variables are h and s
Constant=40
B) if Corinne works for 25 hours and selling $300 in magazine
Weekly earnings = 7.50h + 0.20s + 40
=7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
=$287.5
C)
If Corinne starts earning $9 per hour.
Original expression
7.50h + 0.20s + 40
New expression
9h + 0.20s + 40
The coefficient of h will change because of the increase in earnings per hour
Coefficients are 9 and 0.20
in the diagram, PQRS is a trapezium and TUV is an equilateral triangle. The perimeter of trapezium PQRS is equal to the perimeter of triangle TUV.
find the value of Y
please help me answer this question .... THANK YOU ✨✨✨
*show you working*
Answer:
y = 12
Step-by-step explanation:
The first step is to determine the perimeter of triangle TUV. We know side UV has a length of 20 cm and that the triangle is equilateral, so all sides have the same length. Thus the perimeter of the triangle must be 20 cm * 3 = 60 cm
The perimeter of PQRS is the sum of the lengths of sides PQ, QR, RS, and SP in cm.
PQ = y + 6
QR = 9 (given in diagram)
RS = 2y
SP = 9 (the diagram shows that it has the same length as QR)
Together they must add up to 60 cm to match the perimeter of the triangle, so:
PQ + QR + RS + SP = 60
(y + 6) + 9 + 2y + 9 = 60
3y + 24 = 60
3y = 36
y = 12
Which of the following best describes the expression 5(x + 2)
5(x + 2) is the product of a constant factor 5 and a 2-term factor (x + 2 )
It gets the result: 5(x+2) = 5•x + 5•2 = 5x + 10
4a - 3 = D solve for a
Answer:
Hey there!
4a-3=D
4a=D+3
a=(D+3)/4
Let me know if this helps :)
Someone please help. Please explain how I should do it!
Answer:
Step-by-step explanation:
if m and n are irrational number then the product of mn sometimes rational and sometime irrational
ex: √5 *√2=√10 irrational
ex: √8*√2=√16=4 rational
b-y=|x|+3
explain why |x|+3≥|x+3|
absolute value of any number is always positive
x |x|+3 ≥ |x+3|
1 4 = 4 in this case equal
2 5 5
-2 5 ≥ 1 in this case |x|+3≥|x+3|
in case of negative value of x then |x|+3>|x+3|
The United States uses the census to determine all of the following EXCEPT: A. race B. education C. marital status D. spending habits Please select the best answer from the choices provided A B C D
Answer:
Hey there!
The census never asks any questions about D. Spending Habits.
Let me know if this helps :)
Answer:
Your answer will be D
12 - 3x = 6 help please
Answer:
x = 2
Step-by-step explanation:
Solve for x:
12 - 3 x = 6
Hint: | Isolate terms with x to the left hand side.
Subtract 12 from both sides:
(12 - 12) - 3 x = 6 - 12
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
-3 x = 6 - 12
Hint: | Evaluate 6 - 12.
6 - 12 = -6:
-3 x = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -3 x = -6 by -3:
(-3 x)/(-3) = (-6)/(-3)
Hint: | Any nonzero number divided by itself is one.
(-3)/(-3) = 1:
x = (-6)/(-3)
Hint: | Reduce (-6)/(-3) to lowest terms. Start by finding the GCD of -6 and -3.
The gcd of -6 and -3 is -3, so (-6)/(-3) = (-3×2)/(-3×1) = (-3)/(-3)×2 = 2:
Answer: x = 2
Determine the equation of the line with slope −4 that passes through the point M(−2, 1).
y = −4x + 7
y = −4x − 7
y = 4x + 9
y = −4x − 9
Answer:
y = - 4x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute M(- 2, 1) into the partial equation
1 = 8 + c ⇒ c = 1 - 8 = - 7
y = - 4x - 7 ← equation of line
-6 can be classified as a
A. binomials
B. monomial
C. trinomi
Answer:
B) monomial
Step-by-step explanation:
If there is only one term in an expression, then it is monomial
A monomial is a real number, a variable, or a product of
a real number and one or more variables.
Since -6 is a real number, it's a monomial.
I cant seem to figure this out at all i only know exteriors to a degree
==========================================================
Explanation:
There are two methods you could use. The first method involves the remote interior angle theorem. This says the remote interior angles (the two y angles) add to the exterior angle (130)
y+y = 130
2y = 130
y = 130/2
y = 65
--------
Or we could find the interior angle that is adjacent to the 130 degree angle. This is 180-130 = 50 degrees. So this is the top interior angle of the triangle. For any triangle, the three interior angles always add to 180
angle1+angle2+angle3 = 180
y+y+50 = 180
2y+50 = 180
2y = 180-50
2y = 130 ... from here on out, the steps are the same as above
y = 130/2
y = 65
So this helps show how the remote interior angle theorem is set up
There are 1.2 grams of protein in a 1/2 cup serving of asparagus. How many grams of protein are there in 3 1/2 cups of asparagus?
Answer:
8.4 grams
Step-by-step explanation:
So if there are 1.2 grams of protein in a half cup serving, and you're trying to find how many grams in a 3.5 serving. Find the number of halves in 3.5
That would be 7, because 7 multiplied by 1/2 is 3.5
So then multiply 1.2 with 7
= 8.4 grams
Juan sells banana bread by weight. He cuts a 1-lb loaf of banana bread into 6 equal slices. He wants to complete the table showing the total weight for the various numbers of slices. What decimals will he write in the table?
Answer:
0.1[tex]\frac{}{6}[/tex]
Step-by-step explanation:
When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.
i.e [tex]\frac{1}{6}[/tex] = 0.166666666666666...
To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.
i.e [tex]\frac{1}{6}[/tex] = 0.1[tex]\frac{}{6}[/tex]
Note that [tex]\frac{}{6}[/tex] has expressed that the division has 6 as the repeating digit in the decimal number.