Answer:
y = -¹/₂ x - 6Step-by-step explanation:
Two lines are perpendicular if the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 2x + 3 ⇒ m₁=2
2×m₂ = -1 ⇒ m₂ = -¹/₂
The y-intercept is b=-6 so the equation in slope-intercept form:
y = -¹/₂ x - 6
Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?
Answer:
The amount Raphael spend on DVD including tax is $16.2
Step-by-step explanation:
Tax on DVD = 8%
Amount of tax = $1.20
We need to find the amount Raphael spend on DVD including tax.
Let the cost of DVD = x
We can write the equation: [tex]8\%\:of\:x=1.20[/tex]
Because the tax amount is 8% of actual cost and is equal to 1.20
Now solving to find x:
[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]
So, the cost of DVD = $15
Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax
The amount Raphael spend on DVD including tax = 15 + 1.2
= 16.2
So, The amount Raphael spend on DVD including tax is $16.2
4.
One-third of Olivia's age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answer:
19?
Step-by-step explanation:
maybe i got it right
Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9>13
Answer:
x>4
Step-by-step explanation:
Step 1: Subtract 9 from both sides.
x+9−9>13−9
x>4
my classmate is unsure about how to use side lengths to determine the type of triangle. How would i explain this to my classmate
equilateral triangles are made of all even sides with a angle of 60 degrees
isosceles triangle has two of the same sides and ond different side
scalene triangles have all different sides
brainiest please
M<2=x+88 can you please tell me the answer for this
Answer:
Answer: A) -8
Step-by-step explanation:
The image shows the triangle where it can be noted that two of its sides are congruent (according to the tick marks). This forms an isosceles triangle that also has two congruent angles as shown in the image below.
The other angle (2) has a measure of x+88.
The sum of the internal angles of the triangle must be 180°, thus:
x + 88 + 50 + 50 = 180
Simplifying:
x + 188 = 180
x = 180 - 188 = -8
x = -8
Answer: A) -8
Plzzz someone help meeee!!!! :(
Answer:
5 feet
Step-by-step explanation:
The rose garden is trianglar and so the total of the two shorter sides need to equal more than the longest side. In this case 4+x=9. 6,7, and 8 all meet these requirments but 4+5 is 9, 9=9 which means 5 feet cannot be used
What do I have to multiply 5/6 by to get an equivalent fraction
Answer:
you multiply 5/6 5 times to git 4
Step-by-step explanation:
A baker made 9 cupcakes, each a different type. Four people want to share them equally. How many cupcakes will each person get? DIvide and use in fraction form.
Answer: 2 1/4
Step-by-step explanation:
From the question, we are informed that a baker made 9 cupcakes which are to be shared equally by four people.
To get the number of cupcakes that each person gets, we divide the total number of cupcakes by the total number of people. This would be:
= 9 ÷ 4
= 2 1/4 cupcakes
Therefore, each person gets 2 1/4 cupcakes.
Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'
Answer:
The answer will b 4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Simplify: 3x + 4y + 7x - 2y
Answer:
10x+2y
Step-by-step explanation:
combine like terms
Answer:
Step-by-step explanation:
3x + 4y + 7x - 2y=3x + 7x +4y - 2y
10x + 2y
If f(n)= n2. n, then f(-4) is?
Answer:
f(-4) = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(n) = n²
f(-4) is n = -4
Step 2: Evaluate
Substitute: f(-4) = (-4)²Exponents: f(-4) = 16Twelve minutes after he starts downloading a file, Mario looks at his computer and sees this image. About how long will it take to download the entire file?
2 + (-10) =
HELP ME PLEASE T^T
Answer:
The answer would be 8
Step-by-step explanation:
This equals 10-2=8
Answer:
-8
Step-by-step explanation:
If you subtract 10 from 2 you get 8 and since the negative number is greater than the positive number it would be -8
6. A bicycle store costs $2200 per month to operate. The store pays an average of $60
per bike. The average selling price of each bicycle is $80. How many bicycles must the
store sell each month to break even?
Would the answer be 8?
Answer:
Step-by-step explanation:
yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8
2. A pair of Jordans sold at retail for $180 and now sell for $330 after market.
A. Is this a percent INCREASE or DECREASE?
B. What is the PERCENT change?
Answer:
Um increase and the percentage change is 150
Step-by-step explanation:
What are the order of operations
Answer:
PEMDAS
Step-by-step explanation:
1) Parentheses
2) exponents
3) multiplication
4) division
5) addition
and finally 6) subtraction
CAN SOMEONE PLEASE HELP ME !!
what is
2 1
_ + _ =
5 4
Answer:
3 1
– = ——
9 3
Step-by-step explanation:
I simplified it as well.
Standard Form: 3x+4y=−16
Answer:
i know the answer
Step-by-step explanation:
A number cube is rolled 360 times and the results are recorded as follows: 52 ones, 59 twos, 67 threes, 73 fours, 42 fives, and 67 sixes. What is the experimental probability of rolling a two or a three?
Answer:
0.35
Step-by-step explanation:
Total rolled = 360 times
Two rolled = 59
Three rolled = 67
Two rolled probability = 59/360 = 0.164
Three rolled probability = 67/360 = 0.186
The experimental probability of rolling a two or a three
==> Two rolled probability + Three rolled probability
==> 0.164 + 0.186
==> 0.35
For triangles Y Z X and C D B, sides Y Z, Z X, C D, and B D are 2.5 centimeters. Sides B C and Y X are 3.8 centimeters. Angles B, C, Y, X are 36 degrees. Angles Z and D are 108 degrees.
Which of the following congruency statements is correct?
ΔYZX ≅ ΔBCD
ΔYZX ≅ ΔDCB
ΔZXY ≅ ΔDCB
ΔYXZ ≅ ΔCDB
Answer:
the answer is C
Step-by-step explanation:
edge 2021
Answer:
ΔZXY ≅ ΔDCB
Step-by-step explanation:
I need help with A and B
Answer:
a cube and a square-faced pyramid
Simplify 4 1/3 times 4 1/5
Answer:
Exact Form:
91 / 5
Decimal Form:
18.2
Mixed Number Form:
18 1/5
Find the slope of line that passes through the points ( 0,5) and ( 2,2)
Answer:
m= -3/2
Step-by-step explanation:
ABCD is a parallelogram with coordinates A(4, 2), B(3, −1), C(−1, −1), and D(−1, 2). To prove that ABCD is a parallelogram, you would find which of the following?
A measures of the angles
B slopes of the diagonals
C lengths of the diagonals
D slopes of the sides
The answer is A im pretty sure
please help its algebra 1
Answer: She can take 25 students.
Step-by-step explanation:
If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25
Answer:
I think 25 students
Step-by-step explanation:
Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)
The library has 65400 art books and 9600 science books. What part of all the books are science books
Answer:
9,600/75,000, 16/125
Step-by-step explanation:
art+science=75000
9600
75000 =16/125
The part of all the books that are science books is 0.128 or 16/125.
Using this formula
Science books=Science books(Art books+Science books)
Where:
Science books=9600
Art books=65400
Let plug in the formula
Science books=9600/(65400+9600)
Science books=9600/75000
Science books=0.128 or 16/125
Inconclusion the part of all the books that are science books is 0.128 or 16/125.
Learn more about part of books that are science here:https://brainly.com/question/8513862
To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
9 hours.
Step-by-step explanation:
31 + 5.9*t < 84.10.
To solve it, collect the constant terms on the right side:
5.9*t < 84.10 - 31 = 53.10,
Hence, t < 53.10%2F5.9 = 9 hours.
Answer:
7 hours
Step-by-step explanation:
99.10-34=65.1
65.1 divide by 9.30=7
Hope this helps!!
Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!
Answer:
309.12
Step-by-step explanation:
A = total amount
P = principal
r = interest rate
n = number of times interest is compounded
t = time (in years
A = P(1 + [tex]\frac{r}{n}[/tex])^nt
A = 300(1 + [tex]\frac{.03}{12}[/tex])^12 · 1
A = 300(1.0304)
A = 309.12
Answer:
408
Step-by-step explanation: