Answer:
d = 780
Step-by-step explanation:
Remark
You can do this with a proportion which will save you figuring out the rate. I'll do it both ways
Proportion
480/8 = x / 13 Cross Multiply
8*x = 13*480
8x = 6240
x = 780 miles
======================
Remark
Often times we like questions to follow a formula. Here's the formula method.
Formula
d = r * t
Givens
t = 8 hours
d = 480miles
r = ?
480 = r * 8
480 / 8 = r
r = 60
Second part
r = 60 miles per hour
t = 13 hours
d = ?
d = 60*13
d = 780 miles
Berry Delicious is a popular shop that sells chocolate-covered strawberries. Last year, the shop used 9,200 kilograms of strawberries to make its treats. This year, the shop used 7,739.4 kilograms. What is the percent of decrease in the amount of strawberries used annually?
Answer:
15.9%
Step-by-step explanation:
Percent decrease formula =
(Initial value - New value/Initial value) × 100
Initial value = 9200kg
New value = 7739.4kg
Percent decrease = (9200 - 7739.4/9200) × 100
Percent decrease = (1460.6/9200) × 100
Percent decrease = 15.8760869565%
Approximately = 15.9%
The percent of decrease in the amount of strawberries used annually is 15.9%
I need help please!
Answer:
Yes
Step-by-step explanation:
1/4+1/4+1/4=3/4 can also be written as
3*1/4
What is the period of the graph of y = 5 sin (4 pi x) + 3?
A. 5
B. 1/2
C. 4pi
D. 3
A recipe for punch calls for 5 parts grape soda to 2 part seltzer. If hector has 10 cups of of grape soda, how much seltzer does he need?
Answer:
assuming 10 cups it 10 parts then the answer is 4 cups of seltzer
please help me as soon as possible! :)
Answer:
-8,-7,-5,-3,-2
-80,-40,20,60
Step-by-step explanation:
Answer:
option c
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
because in the end QP go together so it either A or B and it A because thats how the triabgle goes
HELP!! What is the exact value of Tangent (pi/12)
A. StartFraction 1 Over 2 + StartRoot 3 EndRoot EndFraction
B. StartFraction 1 Over StartRoot 3 EndRoot EndFraction
C. StartFraction 3 Over StartRoot 3 EndRoot EndFraction
D. StartFraction 1 Over 2 minus StartRoot 3 EndRoot EndFraction
Answer:
2 - sqrt(3)
Step-by-step explanation:
Split pi/12 into two angles where the values of the six trigonometric functions are known.
tan (pi/4 - pi/6)
Apply the difference of angles identity
[tex]\frac{tan(pi/4) - tan(pi/6)}{1 + tan(pi/4)tan(pi/6)}[/tex]
tan(pi/4) = 1 , tan(pi/6) = (sqroot3)/3
Plug in and Simplify
[tex]\frac{1-\frac{\sqrt{3} }{3} }{1+1\frac{\sqrt{3} }{3} }[/tex]
[tex]\frac{\frac{3-\sqrt{3} }{3} }{\frac{3+\sqrt{3} }{3} }[/tex]
[tex]\frac{3-\sqrt{3} }{3} *\frac{3}{3+\sqrt{3} }[/tex]
[tex]\frac{3-\sqrt{3} }{3+\sqrt{3}}[/tex] Need to multiply this by [tex]\frac{3+\sqrt{3} }{3+\sqrt{3} }[/tex]
Expand and simplify numerator: [tex]\frac{6}{(3+\sqrt{3} )^{2} }[/tex]
Expand and simplify denominator: [tex]\frac{6}{12+6\sqrt{3}}[/tex]
Cancel the common factor: [tex]\frac{1}{2+\sqrt{3}}[/tex]
Answer:
D: 1/2 - √3.
Step-by-step explanation:
The Unit Circle is a circle with radius 1 that is used to determine the value of sine and cosine of any angle.
But that table do not directly give the exact value so to solve for its exact value, express π/12 as a sum or difference of two angles where the values of the six trigonometric functions are known.
tan π/12 = tangent (π/4 - π/6)
Using the the difference of angles identity we get,
tan (π/4 - π/6) = (1 - √3 / 3) / (1 + 1 x √3 / 3)
Multiply by 3,
tan (π/4 - π/6) = (3 - √3) / (3 + √3)
Multiply by 3 - √3
tangent (π/4 - π/6) = (3 - √3)(3 - √3) / (3 - √3)(3 + √3)
FOIL and simplify.
tangent (π/4 - π/6) = 9 - 6√3 + 3 / 9 -3
tangent (π/4 - π/6) = 1/2 - √3
5+5+5+5+5+5+5+5+5+5+11111111111111111111111122222222222222222222222333333333333333333333333333334444444444444444444444444455555555555555555555555555666666666666666666666666666666677777777777777777777777777788888888888888888888888888888889999999999999999999999999999991111111111111111111111111111111100000000000000000000000000000000000
Answer:
w t f
Step-by-step explanation:
Answer: Its kinda confusing lol
Step-by-step explanation:
I would help but I dont get it sorry
Marta earns 12.50 from babysitting and, and then spends some of her earnings on a new book. She has 8.00 of her earrings left. Write and solve an equation to find the cost of the book. And answer the questions above
Answer:
$12.50 - $8:00 = ? , ? = $4.50
Step-by-step explanation:
$12.50 earned from babysitting
Spends some on a new book
$8.00 left
12.50 - 8.00
0-0= 0 , 5- 0 = 5 , 12-8 = 4,
Reverse ur answer and add a dot (.) between 4 and 50
Answer: $4.50, $12.50 - $8:00 = ? , ? = $4.50
Work out the equation of a line which has a gradient of 1/2 and passes through the point 4,-2? Pls answer i dont know
Answer:
y-y1=m (x- x1)…………..(1)
Here m=1/2 and (x1,y1)= (4,-2)
(1) => y-4=1/2(x+2)
=> 2y-8=x+2
=> x-2y-10=0
So, equation of line is x-2y-10=0.
help help help help help help help help!!!!
Answer:
c is the answer have a nice day
Step-by-step explanation:
How much is 75% of 10 liters of milk?
Answer:
1. 75% of 10 liters of milk = 0.75 * 10 liters of milk = 7.5 liters of milk
2. To find 75% of a number, multiply the number by 0.75.
Answer by mathstudent55 give credit to him/her
Answer 7.5
Step-by-step explanation:
You can find this by dividing the number by 10, for example let’s use the number 20.
you would divide 20 by 10 which is 2 and times it by 7.
This is 14.
By finding this you have found 70% of 20.
now to find 5%, i would divide 20 by 10 once again which is 2 and then i would divide it by 2 which is 1.
then you would add the 2 numbers so 14+1 to get 15 therefore 75%of 20=15
Alexis can buy an 12-pound- bag of dog food for $10.80 or an 8-pound bag of the same dog food for $10.20. Which is the better buy?
Answer:
The 12-pound bag of dog food.
Step-by-step explanation:
To find out which is the better buy you start by divinging 10.80 by 12 and then you divide 10.20 by 8 and you get .90 cents for the 12 pound while you get 1.275 dollars. Which means the 12 pound bag is the better by because it is less money per pound than the 8 pound bag.
Need help for extra credit please???
Answer:
what si the extra credit
A picture that is 6 3/4 feet wide has to be centered on a wall that is 15 1/2 feet wide, how much space is there from the edge of the wall to the picture.
Which is a composite number 42,29,21,37
Answer:
42 and 21 are composite numbers
The bike store marks up the wholesale cost of all of the bikes they sell by 30%. The store buys a bike for $125. How much will they sell the bike for at the store? (Assume that there is no sales tax.)
Answer:
$162.50
Step-by-step explanation:
this is because 30°/• of 125 us 37.5 then if you add that you get 162.50
Answer:
aaaaaaaa
Step-by-step explanation:
8s-3x+4k= what is the answer
Answer:
K= -2s + 0.75x is answer
Step-by-step explanation:
I hope it's helpful!
Answer:
v
Step-by-step explanation:
Subtract (8x + 6) − (x + 4).
I WILL BE MARKING BRAINLIST!
Answer:
7x+10
Step-by-step explanation:
match like terms
8x-x+6+4
7x+10
Answer:
[tex]7x+2[/tex]
Step-by-step explanation:
Alright. First, we have to remember that anything, even a minus sign, directly outside of a term in parentheses means that the term is being multiplied by that number or sign outside of it. A minus sign simply means -1.
I'm going to show you one method. There might be another one, but this method will be useful later in algebra.
So, we've established that a minus sign is actually -1. Now, let's rewrite the equation.
[tex](8x+6)-1(x+4)[/tex]
We'll simplify this now by removing the parentheses and distributing that -1.
[tex]8x+6-x-4[/tex]
Rearrange.
[tex]8x-x+6-4[/tex]
Combine like terms.
[tex]7x+2[/tex]
So, [tex](8x+6)-(x+4)[/tex] equals [tex]7x+2[/tex].
Help Please! I dont understand these questions!
Directions: Write the equation of the line in point-slope form, then convert that equation to slope-intercept form. Show your work!
1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).
2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).
3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).
4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).
The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
The slope-intercept form of the equation of line it's y = mx + b, where m is the slope and b is the y-intercept of the line.
1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 2x + 4 ⇒ m₁ = 2 ⇒ m₂ = 2
(-4, -1) ⇒ x₁ = -4, y₁ = -1
point-slope form:
y - (-1) = 2(x - (-4))
y + 1 = 2(x + 4)
y + 1 = 2x + 8 {subtact 1 from both sides}
y = 2x + 7 ← slope-intercept form2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).
y = ⅓x - 3 ⇒ m₁ = ⅓ ⇒ m₂ = ⅓
(3, -1) ⇒ x₁ = 3, y₁ = -1
point-slope form:
y - (-1) = ⅓(x - 3)
y + 1 = ⅓x - 1 {subtact 1 from both sides}
y = ⅓x - 2 ← slope-intercept form
3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = ¾x - 1 ⇒ m₁ = ¾
¾×m₂ = -1 ⇒ m₂ = -⁴/₃
(3, -3) ⇒ x₁ = 3, y₁ = -3
point-slope form:
y - (-3) = -⁴/₃(x - 3)
y + 3 = -⁴/₃x + 4 {subtact 3 from both sides}
y = -⁴/₃x + 1 ← slope-intercept form
4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).
y = - x - 5 ⇒ m₁ = -1
-1×m₂ = -1 ⇒ m₂ = 1
(7, 3) ⇒ x₁ = 7, y₁ = 3
point-slope form:
y - 3 = -1(x - 7)
y - 3 = - x + 7 {add 3 to both sides}
y = - x + 10 ← slope-intercept formhow do i do a coordinate plane
Answer:
To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.
Step-by-step explanation:
Evelyn has a 32 ounce flavored water. She drinks 23 ounces. Enter the percentage of ounces Evelyn has left of her flavored water. Round your answer to the nearest hundredth. 10 points Your answer
Answer:
The answer is 7.36.
Step-by-step explanation:
23% of 32 = 7.36.
HELP ME RIGHT NOW GRAND PRIZE IS 10 POINTS COME ON COME ON PLEASE SJNDINKOJDEWNIOEW
Solve the system of equations using the substitution method. Make sure to check your solution.
y = 3x + 2
-4x + 4y = 16
In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.
x-coordinate:
y-coordinate:
Answer: X = 1
Y= 5
Step-by-step explanation:
Plug in y = 3x + 2 in the Y coordinate to find X
-4x + 4(3x + 2) = 16
Now you can solve for X
X = 1
Then plug in 1 in the X coordinate to find Y
-4(1)+ 4y= 16
Now you can solve for Y
Y= 5
YOUR WELCOME
What is 271403 rounded to the nearest thousand
Answer:
271000
Step-by-step explanation:
Answer: 300,000
Step-by-step explanation:
The ruler below shows a 7-inch segment divided into 2 equal parts. What is the length of one of those parts?
Answer:
3.5 inches
Step-by-step explanation:
The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much higher is the average temperature at the North Pole than at the South Pole?
Answer:
14.94 degrees higher
Step-by-step explanation:
all you gotta do is find the difference, -49.62 minus -34.68, i suggest a calculator for things that are more difficult to do in your head
EXPAND:
(p-2p)^3
Plz answer.
Answer:
-p^3
Step-by-step explanation:
( p - 2 p ) ^ 3
combine p and 2p to get -p
》expand (-p)^3
》(-1)^3p^3
calculate -1 to the power of 3 and get -1
and this equals -p^3
Help pleasee! Thank uu
Answer:
The answer is the 2nd option
Step-by-step explanation:
(3y^2 – 4y + 1) +
(- y^2 + 4y – 3)
Answer:
2y^2-4y+2
Step-by-step explanation:
3y^2-4y+1-y^2+4-3
3y^2-y^2-4y+1+4-3
2y^2-4y+1+4-3
2y^2-4y+2
PLZ HELP ASAP!!!!! Show all work
Answer:
a) 198.7% interest
Not too sure about answer to (b)
b) 4.75% annualized
Step-by-step explanation:
a) i used Interest = Principal x Rate x Time
40 = 525 x [tex]\frac{14}{365}[/tex] x r
40 = 20.13r
r = 1.987 or 198.7%
b) i used this proportion: [tex]\frac{1.98}{1/24}[/tex] = [tex]\frac{x}{1}[/tex] 'x' represents annualized rate
1/24 represents 2 weeks out of a year
1/24x = 1.98
x = 4.75%