Answer:
Option C
Step-by-step explanation:
Lets calculate 3(q + 2) first;
Distribute;
3(q + 2) = 3q + 6
Option C because 3(2 + q) = 6 + 3q
1.) In a department store, a $120 belt is marked 25% off.
What is the discount?
What is the sale price of the dress?
Answer:
$30
$90
Step-by-step explanation:
Given parameters:
Selling price of belt = $120
Percentage discount = 25%
Unknown:
Discount = ?
Sale price of the dress = ?
Solution:
Discount is a reduction in the price of a commodity.
Discount = percentage discount x selling price of belt
Input the parameters and solve;
I. Discount = [tex]\frac{25}{100}[/tex] x 120 = $30
II. Sale price of the dress;
= selling price - discount amount
= $120 - $30
= $90
Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?
Answer:
Number of students in each group = 8
Step-by-step explanation:
kevin and monica led the same number of vistors.
Let x = number of students in each group
Kevin lead 150 adults, plus 6 student groups.
150 + 6x
Monica led 134 adults, plus 8 student groups.
134 + 8x
Equate both equations
150 + 6x = 134 + 8x
Collect like terms
150 - 134 = 8x - 6x
16 = 2x
Divide both sides by 2
x = 16 / 2
= 8
x = 8
Number of students in each group = 8
what’s 10/13 as a decimal rounded to the nearest tenth
Answer:
brainleist plzz
Step-by-step explanation:
Fraction Decimal Percentage
10/13 0.7692 76.92%
A fraction is a way to describe a part of a whole. The value of 10/13 as a decimal rounded to the nearest tenth is 0.8.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The given fraction can be written in decimal form by dividing 10 by 13, therefore, we can write the fraction as,
10/13
= 10 ÷ 13
= 0.76923
Since the number is needed to be rounded off to the nearest tenth, therefore, we need to look at the hundredth term, if that term is more than equal to 5, we will leave the tenth term as it is, while if the hundredth term is more than 5 we will round off the tenth term to the next term.
In this case, the hundredth position is taken by 6, therefore, the tenth term will become 8 from 7.
10/13
= 10 ÷ 13
= 0.76923 ≈ 0.8
Hence, the value of 10/13 as a decimal rounded to the nearest tenth is 0.8.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
of
estion
Instructions: Write the equation of the line in
Slope-Intercept Form given the information
below. Use Point One in your answer.
Point One = (0, -2)
Point Two = (-3, -5)
Slope-Intercept Form:
I will give you brainliest, if you provide an accurate explanation.
Please include a thoughtful answer.
If not, I WILL report you.
1. Find the sqrt(i) and see if there is anything interesting that comes up.
2. Prove that complex numbers are closed under addition, subtraction, division, and cube roots
Answer:
sqrt(i) =0.707106781 + 0.707106781 i
Most of the numbers we know, and work with, are Real Numbers. The Real Number System includes counting numbers, fractions, terminating decimals, positive numbers, negative numbers, zero, repeating decimals, never ending and non-repeating decimals, numbers that are expressed as radicals, and even pi (π).
The natural numbers are the set of counting numbers
• There are infinitely many numbers in a set of numbers.
• The natural numbers are "closed" under addition and multiplication.
The addition of two natural numbers creates another natural number.
The multiplication of two natural numbers creates another natural number.
closed under addition and multiplication.
BUT ...
The subtraction of two natural numbers does NOT necessarily create another natural number
The division of two natural numbers does NOT necessarily create another natural number
The whole numbers are the set of counting numbers (natural numbers) along with zero
• There are infinitely many numbers in this set of numbers.
• The set of whole numbers is "closed" under addition and multiplication.
Integers:
• The integers are the set of all of the natural numbers,
plus their additive inverses and zero
• The integers are "closed" under addition, multiplication and subtraction,
but NOT under division
Rational Numbers:
• The rational numbers are the set of numbers which can be expressed as a ratio
(a fraction) between two integers.
• Integers are rational numbers since 5 can be written as the fraction 5/1.
• Decimals which terminate are rational numbers.
• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...
• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.
Irrational Numbers:
The irrational numbers are the set of number which can NOT be written as a ratio (fraction).
• Decimals which never end nor repeat are irrational numbers.
• Irrational numbers are "not closed" under addition, subtraction, multiplication or division.
• Examples of irrational numbers: rad2, π
This is figured out by first figuring out that:
√(√(i)) = [tex]i^{1/4\\}[/tex]
Let [tex]\sqrt{i}[/tex] be a + b[tex]i[/tex].
Square both sides to get [tex]i[/tex] = (a + b[tex]i[/tex])(a + b[tex]i[/tex])
So, [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]
a² - b² is the real part. The real part is 0.
0 + [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]
a² - b² = 0
[tex]i[/tex] = 2ab[tex]i[/tex]
2ab = 1
ab = 1/2
b = 1/2a
Now, since a² - b² = 0,
a² - (1/2a)² = 0
a² - 1/(4a²) = 0
[tex]\frac{(4a^{4}-1 )}{4a^{2} }[/tex] = 0
That means the numerator MUST be 0.
[tex](4a^{4}-1 )}[/tex] = 0
[tex]4a^{4}[/tex] = 1
[tex]a^{4}[/tex] = 1/4
a = ± [tex]\frac{1}{\sqrt{2} }[/tex]
if a = [tex]\frac{1}{\sqrt{2} }[/tex] , then b = [tex]\frac{1}{\sqrt{2} }[/tex]
If a = -[tex]\frac{1}{\sqrt{2} }[/tex] , then b = -[tex]\frac{1}{\sqrt{2} }[/tex]
So, it's either a = -[tex]\frac{1}{\sqrt{2} }[/tex] and b = -[tex]\frac{1}{\sqrt{2} }[/tex] , or a = [tex]\frac{1}{\sqrt{2} }[/tex] and b = [tex]\frac{1}{\sqrt{2} }[/tex]
That's why sqrt(i) =0.707106781 + 0.707106781i, or sqrt(i) = -0.707106781 - 0.707106781i
8 x 101 which one is it?
8
8O
800
Answer:
808
Step-by-step explanation:
estimate then divide 36712 divided by 52
Answer:
7060 Step-by-step explanatiojo:
1. (3x + 7) + (8x + 2)
Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
The Blue Plane travels at a constant speed of 120 miles per hour. If it travels for 2 1/2 hours to get to Pennsylvania how far did it go?
Answer:
The answer is 300 miles
Step-by-step explanation:
120x2=240
120x .5= 60
240+60=300
You are designing a hike that starts at the top of the canyon, above sea level. You plan to stop at three locations: •a scenic landmark, which is at sea level •famous boulder, which is below sea level •the bottom of the canyon, which is 600 feet below sea level
Answer:
Hello your question is incomplete attached below is the complete question and solution as well as the detailed solution
Step-by-step explanation:
The total change in elevation as represented in the number line is
600 - 600 = 0 ( sea level )
below sea level = 0 - 200 = -200 (where the famous boulder is located)
-200 -400 = - 600 feet ( bottom of canyon)
can somebody help please
Answer:
(x^3y)/2
Step-by-step explanation:
The shoes cost 35.00 and the tax is 6.5%. How many tax will you pay on the shoes?
Answer:
The tax is 2.28
Step-by-step explanation:
Take the cost of the shoes and multiply by the tax rate
35 * 6.5%
Change to decimal form
35 * .065
2.275
Round to the nearest cent
2.28
The tax is 2.28
Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box
Answer:
14
Step-by-step explanation
you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
can someone who KNOWS WHAT theyre doing and is good at angles please help
m1=51
m2=18
m3=123
m4=39
***remember the 180 rule, and supplementary/complementary angles!
180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one
supplementary angles:
angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.
if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180
complementary angles:
same thing ^ but with 90
i hope my explanations make sense! let me know if you have any more questions :)
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Answer:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
can you tell me the answer
Rounded 2.317 to the nearest thousand
Answer:
2.32
Step by Step Explanation:
5 and above, Give it a shove
1 rounds to 2 because of the 7
2.317 = 2.32
Find the value of a and b when x =10
Answer:
A=250
B=10
Step-by-step explanation:
You plug in 10 for x and solve
i need help with this
Answer:
x1=-1/97/12xx2=1 1=/97/12
Step-by-step explanation:
2
X=6x^2+4=0
-6x2^-x+4=0
Which of the following inequalities is shown in the graph
Answer: D) y ≤ 5/2x + 5
The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.
Hope this helps!
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
(essay)
I was suprised that i....
It was about Mathematics factoring polynomials
Answer:
yes you should be surprised
Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal
Answer:
6 times
Step-by-step explanation:
Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;
y = 3x
How many times do the wheels rotate when Linda pedals 2 times
Here, x = 2
From ; y = 3x
y = 3(2) = 6
Hence, wheel rotates 6 times.
Answer:
Step-by-step explanation:
In the first week of July, a record 1020 people went to the local swimming pool. In the second week,100 fewer people went to the pool than in the first week. In the third week,130 more people went to the pool than in the second week. In the fourth week,132 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer: 10%
Step-by-step explanation:
The following information can be gotten from the question regarding the number of people that went to the swimming pool are:
First week of July = 1020
Second week = 1020 - 100 = 920
Third week = 920 + 130 = 1050
Fourth week = 1050 - 132 = 918
The percentage decrease over the four weeks will be:
= (1020 - 918)/1020 × 100
= 102/1020 × 100
= 10%
Please help number 7
Answer:
Ok, so first, at the end of the equation, It says "+ 4" , right? So you put a point on positive 4 on the y-axis (the one that goes up and don, the vertical line.). Then, 2x means that's your slope, but since your graph only goes up to five, you gotta count down ward. So, go down from your point on the y-axis (4) twice and over to the LEFT (<--) once. Plot your point where you end up. then use a straightedge like a ruler, and connect your two points on the graph, and you have your line!
Hope this helps!
Answer:
it is cubix 12
Step-by-step explanation:
yw hope it helps!
Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.