Answer:
[tex]d = 4.47214[/tex]
General Formulas and Concepts
Pre-Alg
Order of Operations: BPEMDASAlg II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
A (3, -2)
B (5, 2)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(5-3)^2+(2-(-2))^2}[/tex]Simplify: [tex]d = \sqrt{(5-3)^2+(2+2)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(2)^2+(4)^2}[/tex]Evaluate: [tex]d = \sqrt{4+16}[/tex]Add: [tex]d = \sqrt{20}[/tex]Evaluate: [tex]d = 4.47214[/tex]Mary had $60 and spent .75 of it for a coat. She then bought a skirt with 50%
of the money that she had left. How much money did she have left after buying
the coat and skirt?
The correct answer is She have left $7.5 after buying the coat and skirt.
Step-by-step explanation
This question is incomplete, the complete question is:
Mary had $60 and spent 0.75 o 3/4 of it on a coat. She then bought a skirt with 50% of the money that she had left. How much money did she have left after buying the coat and skirt?
The answer is $7.50
Explanation:
To know how much money Mary has left after buying the coat we have to multiply $60 by 0.75 as this would help us know the price of the coat.
60 x 0.75 = 45 (price of the coat)
Then we have to subtract 45 from 60 to know how much money she have left after buying the coat.
60 -45 = 15 (Money left)
Then she bought a skirt with 50% of the money that she had left. To know how much money costs the skirt we have to multiply 15 by 0.50. The result of this operation is $7.5, and finally, we have to subtract again $7.5 that she spent on her skirt from $15 and the final result is $7.5
Henry runs up 10.5 flights of stairs. To represent an additive inverse, Henry will have to run down flights of stairs
Answer:
The additive inverse would be -10.5
Henry runs up 10.5 flights of stairs. Then the additive inverse represents running down flights of stairs will be - 10.5.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The reverse number is a number's complementary inverse. When a number is multiplied by its additive inverse, the result is zero.
Henry runs up 10.5 flights of stairs. Then the additive inverse represents running down flights of stairs will be - 10.5.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Nikki just graduated from high school and would like to buy a car. If she received $3000 in graduation gifts from family friends. She will put this money into a 18 month certificate of deposit until she finds the car of her dreams. The CD earned 10% annually and simple interest. How much will she put towards the down payment and 18 months 1.5 years?
Answer:
$3450
Step-by-step explanation:
Here, P = $3000, N = 1.5 years, R = 10%
[tex]SI = \frac{PNR}{100} \\ \\ SI = \frac{3000 \times 1.5 \times 10}{100} \\ \\ SI = 450 \\ \\ [/tex]
Amount of down payment
= $3000 + $450
= $3450
A college student has two different jobs. Her combined work schedules consist of no more than 48 hours in one week
Which graph best represents the solution set for all possible combinations of the number of hours she worked at her first job, and y, the number of hours she worked at her
second job, in one week?
Answer
Answer:
Choice A
Step-by-step explanation:
It's Choice A because it's the only one that kept the shaded area underneath the line, and the lines went up to only 48 hours for the first job and for the second job. Then all the possible solutions are in the shaded area.
The graph that best represents the solution set for all possible combinations that the college students could have worked is graph A.
Which graph best represents the college student's combinations?The graph that would be best is one that has all possible hour as under 48 hours on both the y and x axis.
This ensures that whatever combinations are picked, the 48 hours constraint will still stand. Graph A is the only graph with this quality and so is the best one.
Find out more on graphing possible combinations at https://brainly.com/question/16569.
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Is triangle mno similar to triangle pqo explain
Answer:
need more information or a picture please
Step-by-step explanation:
Flora Kenyon made a deposit of $1,600 to her savings account on July 1. For the next year she made no other deposits or withdrawals. Her bank pays an annual interest of 3.1% compounded quarterly. Find the interest earned by Flora by July 1 of the next year.
Answer:
A = $1,650.24
Step-by-step explanation:
A = P(1 + r/n)^nt
Where
A = future value
P = present value = $1,600
r = interest rate = 3.1% = 0.031
n = number of periods = 4
t = time = 1 year
A = P(1 + r/n)^nt
= 1,600( 1 + 0.031 / 4)^4*1
= 1600( 1 + 0.00775)^4
= 1600(1.00775)^4
= 1600(1.0314)
= 1,650.24
A = $1,650.24
ANSWER THIS CORRECTLY I NEED THE ANSWERS FOR THE EMPTY BOXES I WILL MARK BRAINLIEST (look at the picture i inserted)
Answer:
one proportion is 15 miles over 2.5 hours - yesterday is M miles over 4 hours (?)
Step-by-step explanation:
7. Estimote the following percentages of 60.
10% =
25% =
50% =
20% =
Answer:
10% of 60 = 6
25% of 60 = 15
50% of 60 = 30
20% of 60 = 12
Step-by-step explanation:
Answer:
10% = 6
25% = 15
50% = 30
20% = 12
Step-by-step explanation:
10 % just drop the 0 from 60. 1/10 of 60 is 6
25% is 1/4. Divide: 60/4 =15
50% is half. Divide 60/2 = 30
20% is 1/5 Divide 60/5 =12
The swim team is going to finals. If the meet is in 85 days, determine how many seconds there are until the meet.
seconds
Answer:
There are 7,344,000 seconds until the swim team meet.
Step-by-step explanation:
First we have to figure out how many seconds in a day.
There are 86,400 seconds in a day.
Then we multiply the seconds in one day by the number of days:
86,400 x 85 = 7,344,000
I hope this was helpful! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a wonderful day! :)
Cans of corn are on sale at 10 cans for $4. How much will 15 cans cost?
Answer:
6 dollars
Step-by-step explanation:
10 cans and then 5
divide cost by 2 (1/2)
Answer:
around 7 dollars
Step-by-step explanation:
What fraction is equivalent to 2 on this number line?
Answer:
2/1
Step-by-step explanation:
You can even check by doing 2 divided 1.
Hope this helps!!
BRAINLY PLS HELP ME OUT ASP ! NOW PLS !
Answer:
_
[tex] - \sqrt{10} \\ \sqrt{10 \\ } [/tex]
A and D
Answer:
(-[tex]\sqrt{10}[/tex]) and ([tex]\sqrt{10}[/tex]) are both solutions
Step-by-step explanation:
If you plug in (-[tex]\sqrt{10}[/tex]) for x, you get [tex](-\sqrt{10})^{2}[/tex] which is equal to 10
Also, when you plug in ([tex]\sqrt{10}[/tex]) for x, you get [tex](\sqrt{10} )^{2}[/tex] which is equal to 10
1. Joyce took a 3-day bicycle trip. On the second day of the trip, she rode 36 miles. On the third day she rode
3 times as far as she did on the first day. If the trip was 108 miles long, how far did Joyce ride on the third
day?
please help me! show all ur work!!!
8.55708 to the nearest cent
Answer:
the answer is 8.56
Step-by-step explanation:
Answer:
8.56
Step-by-step explanation:
if it is a 5 or higher you round it up
please help will give brainlyisttt
Answer:
Either a or c
Step-by-step explanation:
Sorry I'm not entirely sure.
Answer:
Well i do not think you will be able to explain a drawing but here it goes.
Step-by-step explanation:
A. You will draw the model and color it halfway
B. You will draw a model and color it about done but - - away from the end
C.You will draw a model and color it about - - in.
D.You will draw a model and color it about - - in.
E.You will draw a model and color it about 20% more than A but make sure its a little more like a inch or so.
parallelogram question pls help
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[tex]p = 2 \times (( - 3x - 5) + (3 - 4x)) \\ [/tex]
Collect like terms
[tex]p = 2 \times ( - 7x - 2)[/tex]
[tex]p = - 14x - 4[/tex]
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[tex]p = 66[/tex]
Thus ;
[tex] - 14x - 4 = 66[/tex]
Add sides 4
[tex] - 14x - 4 + 4 = 66 + 4[/tex]
[tex] - 14x = 70[/tex]
Divide sides by -14
[tex] \frac{ - 14x}{ - 14} = \frac{70}{ - 14} \\ [/tex]
[tex]x = - \frac{7 \times 10}{7 \times 2} \\ [/tex]
[tex]x = - \frac{5 \times 2}{2} \\ [/tex]
[tex]x = - 5[/tex]
Done...
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Calculate the SPEED of a
sprinter who ran 200 meters
in 20 seconds.
Speed = distance / time
Speed = 200 meters / 20 seconds
Speed = 10 meters / second
1 meter per second = 3.6 km per hour
10 meters per second x 3.6 = 36 km per hour
Answer: 36 kilometers per hour
Step-by-step explanation: Average speed = total distance / total time.
A car was valued at $35,000 in the year 1990. The value depreciated to $13,000 by the year 2002.
A) What was the annual rate of change between 1990 and 2002?
B) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2005 ?
Answer:
14.6328% , $5836.03
Step-by-step explanation:
Here we are going to use the formula
= 39000
r=?
= 11000
n=8
Hence
Hence r= 0.1463
In percentage form r = 14.63%
Now let us see calculate the value of car in 2003 that is after 12 years
we use the main formula again
= 39000
r=0.1463
= ?
n=12
Hence the car's value will be depreciated to $5840.34 (approx) by 2003.
help meee will give brainlistq ( please i will do anything but ASAP)
Answer:
y = 7/5 x + 34/5
Step-by-step explanation:
i need help again sorry
Answer:
I want say it is C just by how close in proximity it is to E
Step-by-step explanation:
Challenge The price of Stock A at 9 A.M. was $12.91. Since then, the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was $13.41. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
In 2 2/15 hours, the prices will be same
Step-by-step explanation:
I hope this helps :)
what is the answer to this (-¾)(½)(-⅔) = in simplest form please answer ASAP
Answer:
1/4
Step-by-step explanation:
cross both 3s and 2s. 1/4 is left.also -×- =+. so it's +1/4
Find two consecutive whole numbers that 105 lies between.
____ and ____
whoever gets this correct will get marked brainliest!
Answer:
The answer is 10 and 11. :) (If that was not the answer you were looking for than I say maybe 104 and 106)
Step-by-step explanation:
First, calculate the square root of 105. It is roughly 10.24695. Then, find out what two whole numbers that number lies between.
Answer:
74,,76
Step-by-step explanation:
x+x+2=150
2x+2=150
2x=150_2
2x=148
2x/2=148/2
x=74
x+2=76 74+76=150
f-4=6f + 26 what is f
Answer:
the answer is f=-6
Answer:
f = - 6
Step-by-step explanation:
Step 1:
f - 4 = 6f + 26 Equation
Step 2:
- 4 = 5f + 26 Subtract f on both sides
Step 3:
- 30 = 5f Subtract 26 on both sides
Step 4:
f = - 30 ÷ 5 Divide
Answer:
f = - 6
Hope This Helps :)
a little help please!
Answer:
r = 45 degrees, and s= 60 degrees
Step-by-step explanation:
Write a linear function f with f(5)=7 and F(-2)=0.
Answer:
f(x)=x+2
Step-by-step explanation:
Slope= (7-0)/(5-(-2)) = 7/7 = 1
Y-intercept= 2
substitute the slope, 1, for m and the y-intercept, 2, for b to get:
f(x)=x+2
hope this helps!
The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2
f(5) = 7
This means when x = 5 , y = 7
(5, 7)
f(-2) = 0
(-2, 0)
This implies when x = -2 , y = 0
Using the linear function formula,
y = mx + b
where
m = slope
b = y-intercept
Therefore, the function can be represented as follows:
m = 0 - 7 / -2 - 5 = -7 / -7 = 1
Therefore,
y = x + b
0 = -2 + b
b = 2
The function in relation to x can be represented as follows:
f(x) = x + 2
read more: https://brainly.com/question/13578480?referrer=searchResults
In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in. Find:
- The distance from L to AB.
- m∠ABC
Answer:
Distance of L from AB = 0.6 in.
m∠ABC = 60°
Step-by-step explanation:
Given:
LB = 1.2 in
LC = 0.6 in
We have to find the distance of point L to AB or length of LD.
From right triangle ΔBCL,
Sin(∠LBC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{LC}{LB}[/tex]
= [tex]\frac{0.6}{1.2}[/tex]
= [tex]\frac{1}{2}[/tex]
m∠LBC = 30° [Since ∠LBC is an acute angle]
Since, ∠LBC ≅ ∠LBA
m∠LBA = 30°
Now from right triangle ΔLDC,
sin(∠LBA) = [tex]\frac{LD}{BL}[/tex]
sin(30)° = [tex]\frac{LD}{1.2}[/tex]
[tex]\frac{1}{2}=\frac{LD}{1.2}[/tex]
LD = 0.6
Therefore, Distance of point L from AB is 0.6 in.
m∠ABC = m∠ABL + m∠LBC
= 30° + 30°
= 60°
find the length and width of rectangle :
the width is one third the length and the area is 15m square
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME I BEGGING YOU PLZZZZZZZZZZZZZZZ HELP!!!! (55 POINTS)
1. Evaluate 8a - b if a = 10 and b = 6
74
38
1000
9000
2. Evaluate expression if a=3 and b=4 . 4b-5a
2
1
-8
8
3. Evaluate Expressions a=3 b=4, 7a + 8b x 2
110
100
80
85
4.Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.
$1.95+p
$1.95-p
$1.95/p
$1.95p
5. Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.
g+29
29g
g-29
g ÷ 29
6) 5 + 36 ÷ 2 x 3 - 4
7
55
12
78
7)18 + (6 – 2) × 2
26
29
40
44
8.Expand -3( 2r + 5s).
-6r - 15s
-6r + 15s
-6r - 15
-6r + 2s
9. Expand and simplify 5(2 - 3y)
10 - 15y
10 + 15y
10 - 2y
10 - 3y
10.Factor: 7x + 49y
7(x + 7y)
7(x + y)
can't be factored
7(x + 48y)
11. Factor 6p − 36
6(p − 6)
2(3p − 36)
3(2p − 6)
can't be factored
12. Which expression contains exactly 3 terms?
A. 5 + 6xy
B. 8 + 2y - 5x
C. 9 + 4t
D. 24xy
13. What is the coefficient of x?8 + 5x - y
A. 8
B. 0
C. 5
D. -5
14. Identify the "like terms" in the expression: 2x + 4y - 3x + y - x
A. 2x and 4y and -3x
B. 2x and -3x and x; 4y and y
C. they are all like terms
D. there are no like terms
15. Factor 5x − 25
Answer:
1. 74 because 8(10) - 6
2.4(4) - 5(3) = 1
3. 7(3)+8(4) * 2 = 106
4. A
5.a
6. 20.5
7.26
8.a
9.a
10a
Step-by-step explanation:
Solve using fraction strips or common denominators:
1/2 + 3/10=
Answer:
4/5 (or 8/10)
Step-by-step explanation:
the least common denominator of 2 and 10 is 10, so you have to multiply the first fraction (1/2) by 5/5 so that the denominator of that fraction will become 10. Since 3/10 already has 10 as the denominator, you leave it. By adding 5/10 and 3/10 together you'll get 8/10.
If the question asks to simplify your answer, divide the numerator and denominator of 8/10 to get 4/5
(lol sorry if this is too long, but have a nice day! :'D)