Step-by-step explanation:
Given equations are :
2y = 2x + 2 ....(1)
4y = 4x + 10 ....(2)
we need to find the solution of the system of equations.
If the general equation are :
a₁x+b₁y+c₁ = 0
and
a₂x+b₂y+c₂ = 0
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\ne \dfrac{c_1}{c_2}[/tex] (For parallel lines)
Here, a₁ = 2, b₁ = 2, c₁ = 2, a₂ = 4, b₂ = 4 and c₂ = 10
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{2}{4}\ne \dfrac{c_1}{c_2}[/tex]
Hence, the given system of equation is parallel lines.
Andrea works as a cashier in a music store. A customer wants to buy a CD that is
on sale for 15% off the regular price of $14.00. This means she will pay 85% of
$14.00. How much will Andrea pay?
Answer:
$11.90
Step-by-step explanation:
first you change the percent to a decimal by moving the decimal two places and then multiply.
you multiply .85 and 14.00= 11.90
Answer:
$11.9
Step-by-step explanation:
The regular cost of the CD = $14:00
The discount she gets = 15%
So, 15% of $14 = 2.1
= $14 - $2.1 = $11.9
Another method:
Or u can take 85% of $14 and u will get the immediately
85% of $14 = $11.9
Yoko needs 300 copies of her resume printed. Dakota printing charges 19.50$ for the first 200 copies and 9$ for every 100 additional copies. If the number of sets of 100 resumes is represented by r, express the cost of the resumes c(r) algebraically as a piecewise function How much will 300 copies cost, including a sales tax of 4 1/2%? Round to the nearest cent.
Answer:
A. c(r)=$19.5 if r < 2
c(r)=$19.5+(r-2) ($9) (1.045) if r ≥ 2
B. $29.78
Step-by-step explanation:
A. Based on the information given if we are to express the cost of the resumes which is c(r) algebraically as a piecewise function what we would have will be:
c(r)=$19.5 when r represent an INTERGER and is less than 2
c(r)=$19.5+(r-2) ($9) (1+0.045)
c(r)=$19.5+(r-2) ($9) (1.045) when r represent an INTERGER and is greater than 2
Therefore to express the cost of the resumes c(r) algebraically as a piecewise function will be: c(r)=$19.5 if r < 2
c(r)=$19.5+(r-2) ($9) (1.045) if r ≥ 2
B. Calculation for How much will 300 copies cost, including a sales tax of 4 1/2%
Cost of 300 copies=($19.5+$9)+($19.5+$9) (0.045)
Cost of 300 copies=$28.5+$28.5(0.045)
Cost of 300 copies=$28.50+$1.28
Cost of 300 copies=$29.78
Therefore How much will 300 copies cost, including a sales tax of 4 1/2% will be $29.78
Problem 1: Tyler reads 2/3 of a book on Monday, 1/3 of it on Tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?
Answer:
180 pages
Step-by-step explanation:
Let
x = total number of pages
Monday + Tuesday + Wednesday
2/15x + 1/3x + 2/9x
= (6x+15x+10x)/45
= 31/45x
Thursday
x - 31/45x
= (45x-31x)/45
= 14/45x
3/4 of 14/45x
= 3/4 * 14/45x
= 42/180x
Total pages read = 31/45x + 42/180x
= (124x+42x)/180
= 166/180x
If he still has 14 pages left to read on Friday
Total read from Monday to Thursday + Friday
x = 166/180x + 14
x - 166/180x = 14
(180x-166x)/180 = 14
14/180x = 14
x = 14 ÷ 14/180
x = 14 × 180/14
x = 180 pages
If £1 = $1.75, what is $19.25 in pounds?
Answer:
$19.25 ÷ $1.75 = (GBP)15.4
Step-by-step explanation:
The area of a rectangle is expressed as (12m + 18). If the width is 6, factor a 6 out of the expression to find the length of the rectangle
Answer: L = 2m+3
Step-by-step explanation: The area of a rectangle is found using the formula A=L*W. The area A=12m+18. The width is W=6. The length will be the expression where 6 times it gives 12m+18. The expression is 2m+3 since 6(2m+3) = 12m+18.
Expand the expression −11(3c−2d)
using the Distributive Property.
Answer:
-33c+22d
Step-by-step explanation:
=(−11)(3c+−2d)
=(−11)(3c)+(−11)(−2d)
Multiply.
(8x+3)(-3x - 5)
Simplify your answer.
Find the slope of the line passing through the points (-3, 7) and (2. –6).
Undefined
X
$
?
The temperature in London is 4 degrees Celsius on Monday. The temperature in Moscow is -12 degrees Celsius. What is the difference in temperature between the two cities?
4 - (-12) = 16
difference = 16 degrees celcius.
request: please mark brainiest, and click the thanks button if correct <3
What is the distance from (5,-5) to (-5,-5)?
Answer: 10
Step-by-step explanation:
Simplify the expression:
(5x6) (3x-2)=15xn. Find "n"
Answer:
[tex]\frac{6x-4}{x}[/tex]
Step-by-step explanation:
(5 x 6)(3x - 2) = 15xn
30(3x - 2) = 15xn
[tex]\frac{2}{1}[/tex] * (3x - 2) = ([tex]\frac{1}{2}[/tex]xn) * [tex]\frac{2}{1}[/tex]
6x - 4 = xn
n = [tex]\frac{6x-4}{x}[/tex]
You can't cross the 'x' out of the numerator or denominator because of the - 4 in the numerator.
Answer:
(3×2) (5×6)=15×n
Step-by-step explanation:
(5×6) (3×2)=15n
(1, 2), (2, -1), (3,0), (4, 1), and (5, 1) Do those points represent a function? Explain why or why not.
Answer:
The relation is a function
Step-by-step explanation:
Given
[tex](1, 2), (2, -1), (3,0), (4, 1),\ and\ (5, 1)[/tex]
Required
Determine if the points is a function or not
A relation can be expressed as: [tex](x_1,y_1), (x_2,y_2),(x_3,y_3)......(x_n,y_n)[/tex]
Where
[tex]x = domain[/tex]
[tex]y = range[/tex]
When any domain element occurs more than once, then the relation is not a function.
The domain of the above points are:
[tex]x = \{1,2,3,4,5\}[/tex]
In this case, no domain occur more than once; in other words, no x value occur more than once
Hence, the relation is a function
Chick-fil-A has three drive-thru lanes. Depending on the day and time of day, they sometimes
close all or some of the lanes. Let the random variable X represent the number of lanes that
are open on a randomly selected time during the week. The table shows the probability
distribution of X.
Part (a): What is the probability that at least one lane is open at a randomly selected time?
Part (b): What is the expected value of number of open lanes at a randomly selected time?
Part (c): What is the probability that all three drive-thru lanes are open, given that at least one lane is open?
Part (d): Given that at least one drive-thru lane is open, would the expected value of the number of open lanes be less than, equal to, or greater than the expected value from part b?
Answer:
Pls remind me am in a test I'll come back
10 points
A pigeon flies for 7 hours at a speed of 70 km/h.
Calculate how far the pigeon flies.
Answer:
490km
Step-by-step explanation:
70km/hrs for 7hrs
so if the pigeon flies 70km in one hour we just have to multiply 70 by 7 to get 7hours.
70x7=490km
That means the pigeon flies 490km in 7hrs
State if each set of three numbers can be the lengths of the sides of a triangle.
Step-by-step explanation:
Imagine lying out 2 sticks with lengths 9 and 12
on the ground. The maximum length you can
get is by putting them in a straight line. (9 + 12 = 21)
However, 21 is less than 24, which is
supposed to be the 3rd side of the triangle.
Hence the set 9, 12, 24 cannot form a triangle.
Help me out I gave Brainliest.
Answer:
8x+9y=3
Step-by-step explanation:
y=-8/9x+1/3
y=(-8x+3)/9....LCM
9y=-8x+3...cross multiple
9y+8x=3 OR
8x+9y=3
What is the rate of this answer ??
Answer:
Option (4)
Step-by-step explanation:
Let the input output values of the table are represented by the equation,
y = mx + b
Here m = rate
b = y-intercept
Since, at x = 0, y = -1 [Point given in the table]
y-intercept 'b' = 0
Rate = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points given in the table.
If the points are (-2, -5) and (-1, -3),
Substitute the values in the formula,
Rate = [tex]\frac{(-5)-(-3)}{(-2)-(-1)}[/tex]
= [tex]\frac{-5+3}{-2+1}[/tex]
= 2
Therefore, Option (4) will be the answer.
please help, would be greatful :)
Answer:
x ≈ 25.5°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify Variables
Angle θ = x°
Opposite Leg = 10
Hypotenuse = 21
Step 2: Solve for x
Substitute [tangent]: tanx° = 10/21Inverse trig: x° = tan⁻¹(10/21)Evaluate: x = 25.4633°Round: x ≈ 25.5°Pls help.... i dont really know how to find this slope ;/
Answer:
a
Step-by-step explanation:
the answer is a because every week it shows (shows on the graph) that he is earning 6 dollars.
Answer:
A
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ] and we can use the points (0, 0) and (5, 30) to solve.
30-0/5-0
30/5
6/1
6
Now that we know what the slope is, we can eliminate C and D.
This means that he saves around $6 per week. With this being said, we can eliminate B as well.
Best of Luck!
solve x 3 to the second power =8
Answer:
It would be B
Step-by-step explanation:
8/3=2.66666666667
meaning x=8/3
Someone pls help me I’ll mark u brainliest
The perimeter of a right triangle is 60 feet and the area is 150 square feet. If the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle? A. 500 ft. B. 600 ft. C. 7120 ft. D. 8640 ft.
Answer:
B. 600 ft
Step-by-step explanation:
The formula for the Perimeter of a right triangle = Side a + Side b + Side c
The perimeter of a right triangle is 60 feet
If the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle?
Hence, the perimeter of the new right triangle = 10 × 60ft
= 600ft
Option B is the correct Option.
Answer:
600
Step-by-step explanation:
HELPPP PLEASEEE!!! Write the equation in slope-intercept form of the line that passes through (6, -11) and is parallel to the graph of y=−2/3x+12. Show work
Answer:
y=-2/3x-7
Step-by-step explanation:
parallels have the same slope just different y ints
to find what the y int is i just graphed the point (6,-11) to a calculator and made an equation with a slope of -2/3 and plugged in different y ints to get this
the center of a circle is 5 units below the origin, and the radius is 10 units. what is the equation of the circle?
x^2+(y+5)=10
(x+5)^2+y^2=10
x^2 + (y+5)^2=100
(x+5)^2+y^2=100
Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
Answer:(c)
Step-by-step explanation:
Given
the radius of circle=10 units
The center is 5 units below the origin i.e. (0,-5) is the center
The general equation of a circle is
[tex](x-a)^2+(y-b)^2=r^2\quad [\text{Where, (a,b) is the center of the circle and r is radius}][/tex]
Putting values
[tex](x-0)^2+(y-(-5))^2=10^2\\(x)^2+(y+5)^2=100[/tex]
Second last option is correct
What is the reciprocal of
8/5
Answer:
0.025
Step-by-step explanation:
Answer: 0.025
Step-by-step explanation:
Keisha orders chicken alfredo for $9.99,
salad for $3.99, and a drink for $1.52. She
decides to leave a 10% tip for the waiter.
What will she owe total?
-7 + (-9) - (-11) -2
Help I gotta minute left!
Step-by-step explanation:
D I believe the answer is
If 1 gram = 100 centigrams and 1 centigram = 10 milligrams, how many
milligrams are in 1.42 grams?
0.142
142
1,420
14,200
Answer:
1,420 milligrams
Step-by-step explanation:
We know there are 100 centigrams in 1 gram, and there are 10 milligrams in a centigrams. That would mean there are 1,000 milligrams in 1 gram (100 * 10 = 1000).
As a result, all you need to do is multiply 1.42 by 1000 to get the amount of milligrams.
1.42 * 1000
Alternatively, to make 1.42 a whole number first, multiply by 100, then add a zero. (That's the other 10!)
(1.42 * 100) * 10
142 * 10
There are 1,420 milligrams in 1.42 grams.
Which quotient shows the decimal placed correctly? A) 6÷0.5=1.2 B) 0.64÷2=3.2 C) 0.57÷5=0.114 D) 1.08÷0.3=0.36
Answer:
C) 0.57÷5=0.114
Step-by-step explanation:
Which quotient shows the decimal placed correctly?
Solving for each of the option
A) we are told that:6÷0.5=1.2
Hence: 6/0.5
= 12
Option A is wrong
B) we are told that: 0.64÷2=3.2
Hence: 0.64/2
= 0.32
Option B is wrong
C) we are told that: 0.57÷5=0.114
Hence: 0.57/5
= 0.114
Option C is correct
D) we are told that: 1.08÷0.3=0.36
Hence = 1.08/0.3
= 3.6
Option D is wrong
Therefore, option C is the only correct Option where the quotient shows the decimal placed correctly
