Answer:
19
Step-by-step explanation:
One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.
Answer:
166.67 miles.
Step-by-step explanation:
let the number of mile for which the cost for both car rental be same is x mile
For first car rental
weekly fees charged = $10
cost of 1 mile = $0.29
cost of x miles = x*cost of 1 mile = $0.29x
total money charged by first car rental = $10 + $0.29x
For other car rental
weekly fees charged = 0
cost of 1 mile = $0.35
cost of x miles = x*cost of 1 mile = $0.35x
total money charged by other car rental = $0.29x
_______________________________________
since we have to find miles for which charges are same
thus
total money charged by first car rental = total money charged by other car rental
10 + 0.29x = 0.35x --------------------equation required
=> 10 = 0.35x - 0.29x
=> 10 = 0.06x
=> x = 10/0.06 = 166.67
Thus, the number of miles for which both agencies will charge the same is 166.67 miles.
1. (3x + 7) + (8x + 2)
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
estimate then divide 36712 divided by 52
Answer:
7060 Step-by-step explanatiojo:
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.
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 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 :)
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:
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
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 know: 13 + 7 = 20. Therefore: 13 + 7 + 2 = 20 + 2. Which Property of Equality was illustrated?
A. Subtraction Property of Equality
B. Multiplication Property of Equality
C. Division Property of Equality
D. Addition Property of Equality
Answer:
d
Step-by-step explanation:
help pls ?? it’s confusing
Answer:
2x+24+4x+36=180
6x+60=180
6x=180-60
6x=120
x=120/6
x=20
So <KPL=64 AND <JPL=116
Answer:
KPL = 64 JPL = 116
Step-by-step explanation:
This is a straight angle, meaning this angle will equal 180 degrees.
They give you two parts of this angle, which is (2x+24) and (4x+36)
All you have to do is add them and set this equal to 180.
So when you add 2x+24+4x+36=180 that equals 6x+60=180
Do the algebra, subtract 60 on both sides.
180-60=120
Now divide 6 on both sides.
120/6 = 20
Great, so now solved x. To find the angles, we must plug them in.
2(20)+24= 64
4(20)+36= 116
So your answer should be
KPL = 64 and JPL = 116.
This is correct because when you add these results together, you get 180.
What is an equation of the line that passes through the points (6,-4) and (1,6)?
Put your answer in fully reduced form.
Answer:
y
=
m
x
+
b
to find the equation.
y
=
−
2
x
+
8
Step-by-step explanation:
combine like terms to create an equivanlent expression and simplify coefficents and constants -6/5-2/3v+4/15+1/3v
Answer: −
1
4
1
5
+
−
2
3
+
3
Step-by-step explanation: because im smart and ty for the points mate or girly girl
Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
30
26
Step-by-step explanation:
Math helppppppppppp
-0.05/ -5/8
6 1/4/ -5/16
-3/5 / 2 1/4
-9/10/ 1 3/5
Answer:
1) 0.08
2) -20
3) -4/15 or -0.26 repeating
4) -9/16 or -0.5625
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
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
yall play copter royale ?
Answer:
i do i am right noww lol
Step-by-step explanation:
NEED HELP PLEASE BEGGING PLEASE!!!!
Answer:
-54
Step-by-step explanation:
[tex]8(-9) - 6(-3)\\[/tex]
Multiply 8 by -9 and 6 by -3
[tex]-72 - (-18)[/tex]
Subtract[tex]Value = -54[/tex]
Hope this helps
plz mark brainliest
can somebody help please
Answer:
(x^3y)/2
Step-by-step explanation:
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$
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
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
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:
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
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
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?
The dollar amount of shoes she sold is $1800
Let the amount of the shoe sold e xWhat is commission?It is the amount earned on a product bought or sold.
If she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:
11.5% of x = 207
0.115x = 207
Divide both sides by 0.115
x = 207/0.115
x = $1800
Hence the dollar amount of shoes she sold is $1800
Learn more on discount here: https://brainly.com/question/24304697
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!
(essay)
I was suprised that i....
It was about Mathematics factoring polynomials
Answer:
yes you should be surprised