Answer:
The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.
Step-by-step explanation:
Hope this helped, Have a Wonderful Day!!!
The arctic tern flies from the Arctic to the Antarctic and back every year, a total distance of 22,000 miles! In late summer, the terns start their migration south, and it takes about 3 months to go the 11,000 miles. What is the average velocity, in miles per day, that these birds travel?
Answer:
The birds travel at an average velocity of 122.2 miles per day
Step-by-step explanation:
The arctic terns fly a total distance of 22,000 miles in their yearly migration from the Arctic to the Antarctic and back again.
The average speed is the ratio between the total distance traveled by the time they took to travel.
Assume we take an average month of 30 days, then the time the arctic terns take to travel the 11,000 miles back is 30*3= 90 days.
The average velocity is
[tex]\displaystyle v=\frac{11,000}{90}=122.2[/tex]
v=122.2 miles/day
The birds travel at an average velocity of 122.2 miles per day
Answer:
The artic tern flies 11000 miles about 3 months at an average velocity of 122.222 miles per day.
Step-by-step explanation:
Stefan sells Jin a bicycle for $162 and a helmet for $18. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin? Stefan originally spent $
Answer:
He spent $110.00 on both originally
Step-by-step explanation:
Add both prices too get 165
Then use the equation =
cross multiply to get 150x=16500
Divide 16500 by 150 to get x alone
x= 180
Hint : Add togheter and =180
Answer:
100 + 80
Step-by-step explanation:
Graph
Slope-Intercept Form
Point-Slope Form
y-1=1(x-1)
Plzz Due today!
The table below represents a linear function f(x) and the equation represents a function g(x): (See pic)
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept
slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4
y = 4x+b
3=4(1)+b
3=4+b
-1 =b
y=4x-1
f(x)=4x-1 slope = 4
g(x)=2x -7 slope = 2
b) y intercept for f(x) is -1
and g(x) is -7
so f(x) is having greater y intercept
A line passes through the point (10, -1) and has a slope of 3/2 .
Write an equation in slope-intercept form for this line.
Answer:
y=3/2x-16
Step-by-step explanation:
The equation of the line passing from points (10, -1) is y = 3x/2 - 16.
What is equation of a line?A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It conveys the slope, x-intercept, and y-intercept of the line and can be expressed in a variety of ways. Y = mx + c and axe + by = c are the two versions of the equation of a straight line that are most frequently employed.
Given slope = 3/2 and points (10, -1)
equation of line is given by y = mx + c
m = 3/2
y = 3/2x + c
substitute points,
-1 = 10*3/2 + c
c = -16
equation of line is y = 3x/2 - 16
Hence the equation is y = 3x/2 - 16.
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Simi bought a study table for $9000.She sold it at a profit of 20%.How much profit did she make ? What is the selling price?
Answer:
10,800
Step-by-step explanation:
9,000+ 20%= 10,800
Solve for v:
5(5v + 4) = 17v + 8v+ 9 + 9
Omg Pleasssee Help Me
Answer:
5(5v+4)=17v+8v+9+9
25v+20=25v+18
25v-25v=18-20
0v=-2
i think soooo
this question is very very irrelevant
Step-by-step explanation:
What is the answer for number 3
Answer:
x = 2
Step-by-step explanation:
-1.5x + 33 = 30
-1.5x = 30 - 33
x = -3 / -1.5
x = 2
Answer:
the first person gave u the right answer so head on ur going to get it right. wish u well
Can you guys please with me out with the question please
Answer:
Team score in first game < 19
Step-by-step explanation:
Point Scored in Third Game =X
Points Scored in First Game = X+6 (6 more than third game)
Points Scored in Second Game = 23
Total Points ={( First Game) +( Second Game) + (Third Game)} < 55
{ ( X+6) + (23) + (X)} < 55
X+29+X < 55
2X+29 < 55
2X< 55-29
2X < 26
X <26/2
X<13
So the point scored in First game is: (X+6)
Where X < 13
So the point in First game is < 19
If the base of a triangle is doubled then new area= ________ times old area
Answer:
As base and height are becoming double the new area is 4 times the original area. When the length of the sides of a triangle double, the area becomes quadruple.
In the figure shown, lines 1 and 2 are parallel. The sum of the measures of angles 4 and 5 is 150°. What is the measure of angle 1? a. 75° b. 105° c. 115° d. corresponding angles
Answer:
C. 105°
Step-by-step explanation:
The measure of <1 is 105.
What is parallel line?Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions. Two straight lines are said to be parallel if their slopes are equal and they have different y-intercepts. Given below are a few important properties of parallel lines that actually reflect the characteristics of parallel lines.
For the parallel lines cut by a transversal, the following properties hold true:
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.Given:
<4 + <5 = 150 (given)
As, from the figure
<4 = <5 (alternate exterior angle)
Then,
<4 + <4 = 150
2<4 = 150
<4 = 75
and <5 = <4 = 75
Now, <1 + <5 = 180 (linear pair)
<1 + 75 = 180
< = 180 -75
<1 = 105
Hence, the measure of <1 is 105
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You can fill a 12 gallon tank of gas for $33.39 or buy gas for $2.40 a gallon. Which is the better deal
Answer:
The gas can for $2.40
Step-by-step explanation:
Because if you buy twelve gallons it will only be 28.80 instead of buying the 12 gallon tank for $33.39
If you write out the numbers from 0 to 40, how many times would you write the digit 3?
Four Times you'd say it
The numbers where there are 3 digits from 0 to 40 are
3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39
The digit 3 will be written thirteen times.
What is a number line?It is the way of representing numbers on a line where there is an equal unit between each number.
We have,
Numbers from 0 to 40.
There is always a digit 3 in every ten consecutive numbers.
From 0 to 40 we have 4 ten consecutive numbers.
- 0 to 10
- 10 to 20
- 20 to 30
- 30 to 40
3, 13, 23, and 33. _____(1)
There is a digit of 3 in all the consecutive numbers from 30 to 39.
i.e 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39. ____(2)
From (1) and (2) we have,
3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39
Thus,
The digit 3 will be written thirteen times.
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Simplify.
y = (x + 1)^2 - ____
Answer:
2
Step-by-step explanation:
on edg 2020 lol
Answer:
the person above is correct
Step-by-step explanation:
i got it right on edge
Choose the equation that is true.
345 – 15 = 15 - 345
18 + 0 = 0 + 18
3 + 8 = 7 + 5
5 + 4 + 2 = 6 + 3 + 1
how many degrees matches to the radian measure of π/2
Answer:
π/2 = 90°
Step-by-step explanation:
Given that,
Radian measure = π/2
The formula used to convert radian measure to degree measure is given by :
[tex]\text{Degrees}=\dfrac{180^{\circ}}{\pi}\times \text{radians}\\\\=\dfrac{180^{\circ}}{\pi}\times \dfrac{\pi}{2}\\\\=90^{\circ}[/tex]
So, the degree matches for π/2 is 90°.
What Is the answer to this
2/3p+3=
p=3/5
Answer:
3 and. 2/5
Step-by-step explanation:
2/3 x 3/5 = 2/5
2/5 + 3 = 3.4 or 3 2/5
Guys actually help me with this please.
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
2x2 = 4
3x2 = 6
Which equation represents the line that goes through the point (0,2) and has a slope of 1/2
Answer:
1st answer is correct y=(1/2)x+2
Step-by-step explanation:
division of decimals by whole number
Answer:
Step-by-step explanation:
whats the equation?
Como es la fórmula del perímetro de un hexágono?
Espero respuesta
Gracias
Answer:
El Perímetro de un hexágono es igual a la suma de todos sus lados.
Step-by-step explanation:
el perimetro siempre es la suma de los lados de cualquier figura
Consider the expression 3(5+2•4)+(-3)
i've considered it, ty
>I'm sorry but how do I do this?
Solving the equation of the form a cos 0 + b sin 0 = c
Question;
Solve the equation 4 sin 20 - 3 cos 20 = 3, for 0° ses 360°
Answer:
θ = 36.9°, 90°, 216.9°, or 270°
Step-by-step explanation:
4 sin 2θ − 3 cos 2θ = 3
Use double angle formulas:
4 (2 sin θ cos θ) − 3 (cos²θ − sin²θ) = 3
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3
Use Pythagorean identity:
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 (sin²θ + cos²θ)
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 sin²θ + 3 cos²θ
8 sin θ cos θ − 6 cos²θ = 0
2 cos θ (4 sin θ − 3 cos θ) = 0
2 cos θ = 0
θ = 90° or 270°
4 sin θ − 3 cos θ = 0
4 sin θ = 3 cos θ
tan θ = 3/4
θ = 36.9° or 216.9°
Name the values of the 5s in 5,500
Answer:
5 thousand and 5 hundred.
Step-by-step explanation:
Answer:
uno dos tres
Step-by-step explanation:
I dont know man help please
Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
Ruth develops a blueprint with the help of a triangle. The longest side of the instrument measures 14 inches and one of the sides measures 12 inches. Determine the length of the other side of the instrument.
Answer:
7.2 inches
Step-by-step explanation:
Pythagorean Theorem
a
You've been given the longest side = 14 and the side of the triangle = 12,
Do [tex]14^{2} - 12^{2}[/tex], which will give you an answer of 52.
After doing this since you're calculating a side and you've been given the longest side already it can't possibly be an answer of 52.
Square root 52 and you'll get 7.2.
Your answer should be 7.2 inches.
Multiply (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19). Express the answer in scientific notation.
3.6 ⋅ 109
3.6 ⋅ 1010
36 ⋅ 109
36 ⋅ 1010
Answer:
3.6 × 10^9
Step-by-step explanation:
When multipliying two numbers in scientific notation, the exponents in the factor of 10 will be added when the two expressions are multiplied.
Thus (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19) = ( 1.2 × 3 )
( 10^28 × 10^-19 ) = 3.6 × 10^(28-19) = 3.6 × 10^9
The printed price of a DVD player is $ 31. If the sales tax is 8% , find the price at which the DVD player is sold?
Answer:
$33.48
Step-by-step explanation:
Find the slope of the line passing through the points (-6, 1) and (-7, 8).
Hello!
Slope formula:
y2-y1/x2-x1
y2: 8
y1: 1
x2: -7
x1: -6
Plug given values into the equation:
8-1/-7 - (-6)
Subtract
7/-1
Divide
-7
The slope is -7
Answer:
-7
Step-by-step explanation:
Since we have 2 points, we can use the slope formula
m = ( y2-y1) /(x2-x1)
= ( 8-1)/( -7 - -6)
= ( 8-1) / ( -7+6)
= 7/ -1
= -7
