Answer:
Step-by-step explanation:
Lease years = 2 years
Allowed mileage per year = 10,000 miles
After 4 months of driving ; 5600 miles on car
If driving habit stays consistent, Angel won't stay under the alloted mileage for years,
If 4 months = 5600 miles
Average miles driven per month :
5600 / 4 = 1400 miles / month
After two years ; ( 2 × 12) = 24 months
Total miles driven :
1400 miles × 24 = 33600 miles
Total alloted miles for 2 years:
10,000 × 2 = 20,000 Miles
Excess miles driven;
20,000
Roslan had a total of $50 in 10-cent coins,20-cent coins and 50-cent coins. The value of his 10-cent coins was 30% of the total value of all his coins. The value of his 20-cent coins was 28% of the total value of all his coins.What was the value of his 50-cent coins?
Answer:
$21
Step-by-step explanation:
Provided total value = $50
$50 = 5,000 cents.
We are provided,
10 cent coins value = 30% of total value
= 0.3 [tex]\times[/tex] 5,000 cents = 1,500 cents
Value of 20 cents coin = 28% of total value
= 0.28 [tex]\times[/tex] 5,000 cents = 1,400 cents
Therefore, remaining value of cents = Total value of 50 cents coins
5,000 cents - value of 10-cent coins - value of 20-cent coins = total value of 50 cents coins
5,000 - 1,500 - 1,400 = 2,100 cents = $21
Which means number of 50 cents coin = [tex]\frac{2,100}{50} = 42\ coins[/tex]
Alternatively,
To calculate value of 50 cent coins
Total value = 100%
Value in 10-cent coins + 20-cent coins = 30% + 28% = 58%
Value in 50-cent coins = 100 - 58 = 42%
= $50 [tex]\times[/tex] 42% = $21
Predict the next number.
3. 256, 64, 16, 4, ...
Answer:
1
Step-by-step explanation:
The pattern is always divide by 4. 256 divided by 4 equals 64, 64 divided by 4 equals 16, and 16 divided by 4. Continuing with the pattern, 4 divided by 4 equals 1.
Melody weigh?
4. The bird flew 80 km in four hours. What was the bird's average speed in
km/hr?
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▹ Answer
20 km/h
▹ Step-by-Step Explanation
Amount of km - 80 km
Hours - 4 hours
km/h = 80/4
= 20 km/h
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
20 km/hr
Step-by-step explanation:
since she went 4 hours if we divide 80 km by 4 we should get our answer. 80/4 is 20 so the bird when 20 km/hr
One number is 38 less than another number. If the sum of the two numbers is 108, find the two numbers.
Answer:
The two numbers are 35 and 73.
Step-by-step explanation:
We can solve this problem by creating two simultaneous equations using the information given.
Let number 1 = x
Let number 2 = y
x = y - 38 -> ( 1 )
x + y = 108 -> ( 2 )
We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier and shorter option.
Substitute ( 1 ) into ( 2 ):
x + y = 108 -> ( 2 )
( y - 38 ) + y = 108
2y - 38 = 108
2y = 146
y = 146 / 2
y = 73 -> ( 3 )
Substitute ( 3 ) into ( 1 ):
x = y - 38 -> ( 1 )
x = ( 73 ) - 38
x = 35
Therefore:
x = 35 , y = 73
If PQ = 8, QR = 7x, and PR
9x, what is PR?
Answer:
36
Step-by-step explanation:
PQ + QR = PR
substituting the values we have:
8 + 7x = 9x
8 + 7x - 7x = 9x - 7x
8 = 2x
8/2 = 2x/2
4 = x
Now, for the value of PR:
9 x 4
36
Determine if the following relations represent y as a function of x.
Answers:
A) yesB) yesC) yesD) noEach yes/no answer refers to the question "is this a function?"
==================================
Explanation:
The last equation is not a function because of the even exponent over the y term. If you apply the fourth root to both sides, you'll end up with y = |x| and y = -|x| as the two possibilities. For any nonzero x, there are multiple y outputs.
The first three equations are functions because we don't have the same issue as the last equation. All exponents for the y terms are odd. Something like y without an exponent really means y^1.
Write the sentence as an inequality. 7 minus 5 times a number x is greater than 19. An inequality is
Is the length and width of a square equal?
Answer:
Yes.
Step-by-step explanation:
Each side of a square must be congruent and parallel to its opposite side.
Find the measure of angle
Answer:
angle AEF is 60 degrees
Step-by-step explanation:
120 - 90 = 30
90 - 30 = 60
PLEASE HELP, THANK YOU! :)
Steps to solve:
-4z + 4 + 12z = 3z + 4 + 5z
~Combine like terms
8z + 4 = 8z + 4
~Subtract 4 to both sides
8z = 8z
~Divide 8 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
This is an identity since every value can be a solution to the equation.
Best of Luck!
Solve the inequality 14a/11>4/3, and write the solution in interval notation
Answer:
[tex]a > \frac{22}{21}[/tex]
Step-by-step explanation:
Given the inequality function [tex]\frac{14a}{11}>\frac{4}{3}[/tex], to write the inequality in interval notation, we need to first get the solution to the inequality as shown;
[tex]\frac{14a}{11}>\frac{4}{3}\\cross\ multiply\\14a \times 3 > 11 \times 4\\42a >44\\divide \ both \ sides \ by \ 42\\\frac{42a}{42} > \frac{44}{42}\\ a>\frac{22}{21}[/tex]
Hence the expression in interval notation is [tex]a > \frac{22}{21}[/tex]
To shop a package, a company charges a one-time fee plus a fee based on the weight of the package. The table below shows the total shipping costs for four packages of different weights.
Answer:
C = $5 + $1.5(w)
Step-by-step explanation:
Given the following information :
Total shipping cost :
One time fee + fee based on package weight
Given the table :
Weight in pounds - - - - Total shipping cost($)
___4__________________11
___8__________________17
___12_________________23
___16_________________29
We can deduce from the table
For a package that weighs (w) 4 pounds
Total shipping cost = $11
Let one time fee = f
Fee based on weight = r
f + 4(r) = 11 - - - - - (1)
For a package that weighs (w) 8 pounds
Total shipping cost = $17
One time fee = f
Fee based on weight = r
f + 8r = 17 - - - - - (2)
From (1)
f = 11 - 4r - - - (3)
Substitute f = 11 - 4r in (2)
11 - 4r + 8r = 17
-4r + 8r = 17 - 11
4r = 6
r = 6/4
r = 1.5
Put r = 1.5 in (3)
f = 11 - 4(1.5)
f = 11 - 6
f = 5
Hence one time fee = $5
Charge based on weight = $1.5
Hence, Total shipping cost 'C' for a package weighing 'w' will be :
C = $5 + $1.5(w)
Kendra is working on her financial plan and lists all of her income and expenses in the spreadsheet below. What is Kendra’s net cash flow? a. $295 b. $285 c. $275 d. $255
The spreadsheet is missing, so i have attached it.
Answer:
Option A - $295
Step-by-step explanation:
From the spreadsheet, net pay = $2300 and interest earned on savings = $20
Therefore, her total income = $2300 + $20 = $2320
Now,from the spreadsheet, total expenses = 800 + 120 + 90 + 45 + 95 + 80 + 275 + 520 = $2025
Now, net cash flow = Total income - Total expenses
Net cash flow = $2320 - $2025
Net cash flow = $295
Answer:
a. 295
Step-by-step explanation:
evaluate the 1/3 of 10.2
Answer:
3.4
Step-by-step explanation:
Equivalent expression 31/8 - 21/2
Answer:
-6 5/8 or -6.625
Step-by-step explanation:
31/8 - 84/8 = -53/8
-53/8 = -6 5/8 or -6.625
True or False? Natural Numbers are closed under division.
How far can you ride a bike if you ride for 10 min at speed of 150m/min
Answer:
250 meters/min = 15 km/hr
Step-by-step explanation:
The approximate number to divide from is 16.667. Divide the speed value by 16.667
Answer:
1500m
Step-by-step explanation:
If you ride 150 m every one min then you can ride 150 times 10 in 10 min.
150 times 10 = 1500m
What is the runner’s average rate of change between the hours: 0.5 and 2? mph 1.5 and 2.5? mph Average Rate of Change
Answer:4mph
5mph
Slower
Step-by-step explanation:
The average rate of change for the runner is 0.667 miles per hour².
How to calculate the average rate of change?To calculate the average rate of change, we follow the following formula:
[tex]a = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex],
where a is the average rate of change, v₂ is the final speed, v₁ is the initial speed, t₂ is the time for v₂, and t₁ is the time for v₁.
How to solve the given question?In the question, we are asked to find the runner's average rate of change between the hours 0.5 and 2 with speeds of 1.5 mph and 2.5 mph.
So we take, the initial speed v₁ = 1.5 mph, the final speed v₂ = 2.5 mph, the time for v₁, t₁ = 0.5 hours, and the time for v₂, t₂ = 2 hours.
Thus, we can calculate the average rate of change a, using the formula:
[tex]a = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex],
or, a = (2.5 -1.5)/(2 - 0.5) = 1/1.5 = 0.667 miles per hour².
Therefore, the average rate of change for the runner is 0.667 miles per hour².
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D=ABC for A what is A
Steps to solve:
d = abc for a
~Divide both sides by "bc"
d/bc = abc/bc
~Simplify
d/bc = a
Best of Luck!
X = 8 , m = 3 , EVAULATE !!!!
ILL GIVE YOU BRAINLIST SHOW WORK !!!
Answer:
2Step-by-step explanation:
[tex]2(3x+6)\div(10m)\\\\x =8\\m =3\\\\2(3(8)+6)\div(10(3))\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3\left(8\right)+6\right)\::\quad 30\\=2\times\:30\div \left(10\left(3\right)\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(10\left(3\right)\right)\::\quad 30\\=2\times\:30\div \:30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\times\:30\div \:30\:\\:\quad 2[/tex]
Answer:
2
Step-by-step explanation:
plug it in
2(3(8)+6)/(10(3))
pemdas
2(24+6)/(30)
2(30)/(30)
60/30
2
Find the slope, x and y intercepts and sketch the graph for the linear equation.
y = 2x + 1
Answer:
In bold below.
Step-by-step explanation:
The slope = coefficient of x = 2.
The y-intercept is when x = 0 and x-intercept is when y = 0.
y = 2(0) + 1 = 1 so the y -intercept is (0, 1).
2x + 1 = 0
x = -0.5 so the x-intercept is (-0.5, 0)
write the value of the unknown number in the verbal description
5 times the sum of 2 and a number is 80
a. 1
b. 28
c. 4
d. 16
Answer:
B.28
Step-by-step explanation:
3421 ounces equals how many tons
Answer:
0.1069062
Step-by-step explanation:
divide the mass value by 32000
hope this helps.
Determine if the following relations represent y as a function of x.
================================================
Explanation:
If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.
Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.
The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.
A function assigns the values. The only function that represents y as a function of x is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For any relation to represent a function in terms of x that represents the value of y, the order of y in the function should be equal to 1, therefore, the power of y should be 1, also, the y variable should be alone(Isolated) on one side of the equal sign.
A.) x = y⁴
It represents x in terms of y, therefore, No.
B.) 6x² + y = 4
It represents constant in terms of x and y, therefore, No.
C.) 6x + y² = -1
It represents constant in terms of x and y, therefore, No.
D.) [tex]y = \sqrt{1-x^2}[/tex]
The given function represents y in terms of x, therefore, it is a function that represents y as a function of x.
E.) -2xy = 1
It represents constant in terms of x and y, therefore, No.
Hence, the only function that represents y as a function of x is D.\
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What is 6(x-1)-12= -5?
Answer:
x=[tex]\frac{13}{6}[/tex]
Step-by-step explanation:
[tex]6( x - 1) - 12 = - 5 \\ ⟹ 6x - 6 - 12 = - 5 \\ ⟹ 6x - 18 = - 5 \\ ⟹ 6x = - 5 + 18 \\ ⟹x = \frac{13}{6}[/tex]
Hi there! :)
Answer:
[tex]\huge\boxed{x = \frac{13}{6}}[/tex]
6(x - 1) - 12 = -5
Begin by adding 12 to both sides:
6(x - 1) = -5 + 12
6(x - 1) = 7
Divide both sides by 6:
6(x - 1)/ 6 = 7 / 6
x - 1 = 7/6
Add 1 to both sides:
x = 7/6 + 6/6
x = 13/6.
Simplify the expression.
5(2-j) + (2j-3)
Answer:
7-3j
Step-by-step explanation:
Answer:
7 - 3j
Step-by-step explanation:
5(2-j) + (2j-3)
Open the brackets. Take note of the signs.
10-5j + 2j-3
Rearrange.
10 - 3 -5 j + 2j
= 7 - 3j
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Find the perimeter of the polygon with the vertices G(2, 4), H(2, – 3), J( – 2, – 3), and KC – 2,4).
The perimeter is units.
Answer:
22 units
Step-by-step explanation:
Add up all the units.
Write a story problem that will result to the problem -3+ -8
Answer:
-11
I went to Starbucks today knowing that i had -3 dollars in my bank account, but i wanted this Frappe so bad and it was 8 dollars. Long story short i ended up leaving with -11 dollars in my account.
We've seen that natural numbers are closed under addition. Determine the closure of natural numbers under the other three operations, and give examples to support your answers.
Answer:
A
Step-by-step explanation:a
The figure below is a rectangular shipping box.
Name two different planes that contain AD.
Answer:
The planes that contain the line AD are
1) Plane represented by bounded area ABCD
2) Plane represented by bounded area ADHE
Step-by-step explanation:
The line AD is located at the boundary of the planes ABCD and ADHE and as such is contained in the two planes.
A plane is defined as a flat surface in two dimensional space that has a linear vector boundary on alternate sides
A plane can be specified by a letter written in capitals, or by use of the letters at three non collinear points on the plane, such as plane P or plane ABC.