Answer:
u +v = < 7,9 >
Step-by-step explanation:
You are given u = <9,4> and v = <-2,5>. You are asked to find u+v. all you need to do is to add them with their respective position. u+v = <9-2, 4+5>, u+v = <7,9>. This is the correct answer.
Which property of addition is used in the expression?
0.5+ (0.4+0.8) = (0.5 +0.4) + 0.8
Answer:
associative property
Step-by-step explanation:
because it involves grouping
A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?
That's a question about percentage.
One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.
Examples:
90% is equivalent to 0,90.5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.13.17% is equivalent to 0.1317.245% is equivalent to 2.45.If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.
Examples:
55.90% of 200 is equal to: [tex]200 \times 0.5590 = 111.8[/tex]360% of 88 is equal to: [tex]88\times 3.6 = 316.8[/tex]In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.
107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.
We know that [tex]230\times 1.07 = 246.1[/tex], therefore, the total cost of the phone after tax is $246.1.
I hope I've helped. :D
Enjoy your studies. \o/
PLEASE HELP ME
Solve the system by adding or subtracting.
3x + y = 32
3x − 2y = 17
The solution of the system is
Step-by-step explanation:
-(3x+y=32)
3x-2y=17
-3x-y=-32
3x-2y=17
-3y=-15
y=5
3x+(5)=32
-5. -5
3x=27
x=9
Answer:
x=9
y=5
Answer:
x = 9
y = 5
Step-by-step explanation:
3x + y = 32...(1)
3x - 2y = 17....(2)
multiplying equation (1) by 2 we get,
6x + 2y = 64...(3)
Adding eq(2) and (3) we get,
6x + 2y = 64
+ 3x - 2y = 17
----------------------
9x. = 81
therefore, x = 81/9
therefore, x = 9
substituting value of x in eq( 1)
3 * 9 + y = 32
27 + y = 32
y = 32 - 27
y = 5
Please hep I really need this answered
Answer: D) 1/32
Step-by-step explanation:
Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.
Answer:
You would receive $510.08 in return.
Step-by-step explanation:
In order to find the answer, you can use the formula to calculate the future value:
FV=PV*(1+i)^n
FV=future value
PV= present value= 500
i= interest rate=0.03/12=0.0025 per month
n= number of periods of time= 8
Now, you can replace the values in the formula:
FV=500*(1+0.0025)^8
FV=500*(1.0025)^8
FV=510.08
According to this, the answer is that you would receive $510.08 in return.
Answer:
I think it is $15
Step-by-step explanation:
Taking the test now.
Follow the steps and finish the solution.
7(x-3) = 28
7x-21 = 28
Distributive property
7X=49
Addition property of equality
Division property of equality
X= -
What is the value of x?
O 7
O 9
O 42
056
Answer:
7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7
Pupils in a class were asked how they travel to school. The results were
recorded in the table below.
Car
13
Bus
6
Train
5
Walk
8
If a pupil in the class was picked at random, what is the probability
that one of them walked to school as a percentage?
What are the points on y-axis which are at a distance of 4 units from 4x+3y=12
Given:
The equation of line is
[tex]4x+3y=12[/tex]
To find:
The points on y-axis which are at a distance of 4 units from the given line.
Solution:
The point lie on the y-axis. So, their x-coordinate must be zero.
Let the points are in the form of (0,k).
The distance between a point [tex](x_0,y_0)[/tex] and a line [tex]ax+by+c=0[/tex] is
[tex]d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]
The given equation can be written as
[tex]4x+3y-12=0[/tex]
The distance between (0,k) and [tex]4x+3y-12=0[/tex] is 4 units.
[tex]4=\dfrac{|4(0)+3(k)-12|}{\sqrt{4^2+3^2}}[/tex]
[tex]4=\dfrac{|0+3k-12|}{\sqrt{16+9}}[/tex]
[tex]4=\dfrac{|3k-12|}{\sqrt{25}}[/tex]
[tex]4=\dfrac{|3k-12|}{5}[/tex]
Multiply both sides by 5.
[tex]20=|3k-12|[/tex]
[tex]\pm 20=3k-12[/tex]
[tex]12\pm 20=3k[/tex]
[tex]\dfrac{12\pm 20}{3}=k[/tex]
Now,
[tex]k=\dfrac{12-20}{3}\text{ and }k=\dfrac{12+20}{3}[/tex]
[tex]k=\dfrac{-8}{3}\text{ and }k=\dfrac{32}{3}[/tex]
Therefore, the two points are [tex]\left(0,\dfrac{-8}{3}\right)\text{ and }\left(0,\dfrac{32}{3}\right)[/tex].
7b+8<100 how many books can Brian buy without overspending
Answer:
Step-by-step explanation:
7b + 8 < 100
subtract 8 from both sides
7b < 92
divide both sides by 7
b < 92/7 ≅ 13.1
Brian can buy at most 13 books.
Answer: You have to plug in the numbers.
So first let's plug in 13. 7*13+8=99
Now 15. 7*15+8=113
Now 18. 7*18+8=134
Lastly 20. 7*20+8=148
The answer is 13.
Step-by-step explanation:
2007 Federal Income Tax Table
Single:
Over But not over The tax is
$0 $7,825 10% of the amount over $0
$7,825 $31,850 $788 + 15% of the amount over $7,825
$31,850 $77,100 $4,386 + 25% of the amount over $31,850
$77,100 $160,850 $15,699 + 28% of the amount over $77,100
$160,850 $349,700 $39,149 + 33% of the amount over $160,850
$349,700 And Over $101,469 + 35% of the amount over $349,700
Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.
1. Find her earned income level.
2. Entered the base amount. = $
3. Found the amount over $ = $
4. Multiplied line 3 by 25% = $
5. Added Lines 2 and 4 = $
Tax= $ 7,173.5
Step-by-step explanation:
Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to
$ 77,100.
Tax for $ 31,850 is $ 4,386
Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over
25 % of $ 11,150= $ 2,787.5
Total Tax= $ 4386 + $ 2787.5= $ 7,173.5
2(4x+5)=9(3x+2)? I need help
Answer:
[tex]x=-\frac{8}{19}[/tex]
Step-by-step explanation:
2(4x + 5) = 9(3x + 2)
Solve for x
___________________
We have an alrebaric expressio and are asked to solve for x, which to do this, we need to isolate x.
2(4x + 5) = 9(3x + 2)
Distribute :
(2(4x) + 2(5)) = (9(3x) + 9(2))
8x + 10 = 27x + 18
Subtract 10 from both sides :
8x = 27x + 8
Subtract 27x from both sides :
-19x = 8
8 = -19x
Divide both sides by -19 :
[tex]x=-\frac{8}{19}[/tex]
Each of these numbers is written as a product of prime factors.
Note: 539 = 11 x 7²
847 = 7 x 11²
Use this information to write:
(a)539/847 as a fraction in its simplest form.
(b)55/539 as a fraction in its simplest form.
Answer:
a)539/847=
11×7²
____=7^(2-1)/11^(2-1)=7/11
7×11²
Step-by-step explanation:
(b)55/539=(5×11)/( 11 x 7²)=5/7²
I need help with the last three
is anyone able to help please!
Answer:
4480ft³
Step-by-step explanation:
formula: V=⅓Bh (B- base) (h-hight)
B=L×W, B=17.5×32= 560
h=24ft
V=⅓(L×W)h
V=⅓(560)24
V=⅓(13440)
13440÷3=4480ft³
3 A garage is to be built with a skillion roof (a roof with a single
slope). The measurements are given in the diagram. Calculate
the pitch line length, to the nearest millimetre. Allow 500 mm
for each of the eaves.
Answer:
1e1e
Step-by-step explanation:
The pitch line length of the garage with the skillion roof, with the given dimensions and eave overhangs, is approximately 7.5 meters.
To calculate the pitch line length for the garage with a skillion roof, we need to consider the dimensions provided in the diagram and add the eave overhangs.
Let's assume the length of the garage is L meters, and the height from the top of the walls to the peak of the roof is H meters.
Calculate the pitch line length of the roof:
The pitch line length is the diagonal length of the triangular roof face. We can use the Pythagorean theorem to find it.
Pitch Line Length (PL) = √(L² + H²)
Add the eave overhangs:
The eave overhang is 500 mm on each side, so we need to add 1 meter (1000 mm) to the pitch line length.
Total Pitch Line Length (TPL) = PL + 1000
Now, let's calculate the pitch line length to the nearest millimeter.
For example, let's assume L = 6 meters and H = 2.5 meters.
Calculate the pitch line length (PL):
PL = √(6² + 2.5²)
PL = √(36 + 6.25)
PL = √42.25
PL = 6.5 meters
Add the eave overhangs:
TPL = 6.5 + 1
TPL = 7.5 meters
To know more about length
https://brainly.com/question/28322552
#SPJ2
4(r-9)= -60 help plz
Answer:
-6
Step-by-step explanation:
isabella earned $44.00 for 4 hours of work how much was earned per hour
Answer:
$11
Step-by-step explanation:
44/4 = 11
Answer:
11 was earned per hour
Step-by-step explanation:
44 divided by 4 is 11
A store offers a 20% discount. The discount price of a hat is $18. What is the regular price of the hat?
Answer:
90%
Step-by-step explanation:
20% = 18
1% = 0.8
100%=90%
Six friends share 3/4 of a pound of roasted almonds. What fraction of a pound does each friend receive
Answer: 1/8 pounds of roasted almonds
Step-by-step explanation:
There are six friends and each of them are to receive and equal piece out of a 3/4 pound of roasted almonds.
The almonds each friend will get will therefore be the 3/4 pack divided by 6:
= 3/4 ÷ 6
= 3/4 * 1/6
= 3/24
= 1/8 pounds of roasted almonds
When dividing by a number, you can instead multiply by the inverse of that number.
During a thunderstorm, 600 millimeters of rain fell in 30 min.
A. How fast did the rain fall, in millimeters per minute?
B. How fast did the rain fall, in millimeters per hour?
C. Which unit rate do you think is more useful? Explain your reasoning.
Sorry that I can only put 10 points. But please I really need help with this
1. The equation y = 2x + 6 represents a function.
a. Complete the x and y table:
х
y
2
10
15
21.5
Answer:
Step-by-step explanation:
x | y
2 | 10
15| 15
21.5 | 17.5
What is 5+5x3+4x6x9x2x2+45
Answer:
929
Step-by-step explanation:
5 + 5x3 + 4x6x9x2x2 + 45 =5 + 15 + 864 + 45 =92980% of the games were won.
v out of 40 games were won.
8
32
40
Answer:
32
Step-by-step explanation:
80/100 = .8
.8 x 40 = 32 games won
Answer:
32
Step-by-step explanation:
80% of the games were won.
v. out of 40 games were won
Take 80% and divide it by 100
80%/100 = 0.8
Now multiply it by 40.
0.8 * 40 = 32
math is extremely confusing
Answer;;;;
explained
What is the value of x in simplest radical form?
Answer:
x =97
Step-by-step explanation:
perpendicular (p) = 65
base (b) = 72
hypotenuse (h) = ?
We know by using Pythagoras theorem
h = √p² + b²
= √ 65² + 72²
= √9409
= 97
i need help answering this question: 9 × +7
Answer:
9×7=63
the answer is 63
There is 3/4 of a pizza. 1/3 of the pizza has pepperoni on it. How much
of the pizzas has pepperoni on it?
Answer:
4/12
Step-by-step explanation:
3x 2 - 29
The answer
Answer: -23
Step-by-step explanation:
8. The double box plot shows the costs of MP3 players at two different stores. Which one of the following inferences is NOT true based on the dot plots shown below:
A. 75% of the prices at Electronics World are lower then $75.
B. 75% of the prices at Bargain Basement are lower than $65.
C. The median price at Electronics World is $10 more than at Bargain Basement.
D. MP3 players are more expensive at Bargain Basement.
Solve the equation
4y - 7 = 15
Justify your answer
[tex] \tt \dashrightarrow 4y - 7 = 15[/tex]
[tex] \tt \dashrightarrow 4y = 15 + 7[/tex]
[tex] \tt \dashrightarrow 4y = 22[/tex]
[tex] \tt \dashrightarrow y = \cancel{\dfrac{22}{4}}[/tex]
[tex] \tt \dashrightarrow y = \dfrac{11}{2}[/tex]
[tex] \tt \dashrightarrow y = 5.5[/tex]
[tex] \large \underline{\boxed{\bf{y = 5.5}}}[/tex]
Hence, value of y = 5.5.
Answer: y = 5 ½ or y = 5.5
Step-by-step explanation:
4y - 7 = 15
Add 7 to both sides of the equation.
4y = 22
Divide both sides by 4
y = 5.5
Substitute y in the original equation.
4(5.5) - 7 = 15
22 -7 = 15
True.