Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
Write the equation of the line that passes through (4, -6) and (8, 10)
Answer:
Line equation: y=4x−22
Slope: 4
Intercept: -22
Step-by-step explanation:
An arc is 70.7 meters long and is intercepted by a central angle 5pi/4 radians. Find the diameter of the circle
Answer:
36.008 or 36
Step-by-step explanation:
Use the equation for the length of any circular arc
s = r(radians)
s - length of a circular arc
r - radius
radians - radian measure of the central angle
Then, set-up the equation:
s = r(radians)
70.7m = r(5pi/4)
Get variable "r" on one side by multiplying both sides by 4/5pi, which should result in the following:
r = 70.7m x 4/5pi
then solve for r
r = 282.8/5pi = 18.004
The radius is half the diameter therefore just multiply the radius by 2
d = 18.004 x 2
= 36.008 or 36
The diameter of the circle is 36 meters.
What is an arc?The arc is a portion of the circumference of a circle.
We have been given that an arc is 70.7 meters long and is intercepted by a central angle of 5π/4 radians.
We have to determine the diameter of the circle
For the length of the circular arc, use the equation.
⇒ 70.7 m = R(5π/4)
Multiply both sides by 4/5π to get the variable "R" on one side, which should get the following:
⇒ R = 70.7 m × 4/5π
⇒ R = 282.8/5π
∵ π = 3.14
⇒ R = 282.8/5(3.14)
⇒ R = 18.004
Since the radius is equivalent to half the diameter, simply double the radius by 2.
⇒ D = 18.004 × 2
⇒ D = 36.008 ≈ 36
Hence, the diameter of the circle is 36 meters.
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A(n)______ contains variables,numbers, and at least one operation.
Answer:
algebraic expression. An expression that contains at least one variable, at least one numbers and at least one operation.
Step-by-step explanation:
Answer:
expressions
Step-by-step explanation:
this is how a definition in a textbook would be written. they just put a blank in
Which linear inequality best represents the graph?
Answer:
[tex]3x - 4y \geqslant - 12[/tex]
Step-by-step explanation:
[tex]3x - 4y \geqslant - 12[/tex]
[tex] - 4y \geqslant - 3x - 12[/tex]
Y <= 3/4X +3
can some one write a system for all of these? it would really help me rn :(
Answer: 36 and 56
Step-by-step explanation: the sum of two numbers translates into x + y = 92
If the difference would be 0 then the numbers would be equal.
Just choose which number you want to be bigger. If x is bigger then x - y = 20. If y is bigger then y - x = 20.
Let’s make x bigger so x-y=20. You can go two ways with this.
Either x=20+y because when passing one term from one side to the other you can change the sign.
Or y=x-20 because you pass “-y” to the right and it’s becomes “y” and you pass 20 to the left and it becomes -20.
Let’s go with y=x-20.
Now we replace this in the other relation:
X + Y = 92
X + (x-20) = 92
X + X - 20 = 92
2x - 20 = 92 ==> 2x = 92 + 20 ==> 2x = 112 ==> 112/2 ==> x=56
Y = x - 20 ==> y = 56 - 20 ==> y = 36.
If you choose x=20+y and replace x in the other relation you’ll find out y first and only after that you’ll find x.
Hope this helps☺️
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and one 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink?
Complete Question
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink
Answer:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Step-by-step explanation:
Let the cost of
1 donut = x
300ml carton of juice = y
Max buys six donuts and a 300ml carton of juice for $3.50
6x + y = 3.50.....Equation 1
y = 3.50 - 6x
Susie buys four donuts and two 300ml carton of juice for $3.00
4x + 2y = 3...... Equation 2
Ben buys eight donuts and one 300ml carton of juice for $6.50
8x + 5y = 6.50......Equation 3
We substitute 3.50 - 6x for y in Equation 2
4x + 2y = 3...... Equation 2
4x + 2(3.50 - 6x) = 3
4x + 7 - 12x = 3
Collect like terms
4x - 12x = 3 - 7
-8x = -4
x = -4/-8
x = $0.50
Solving for y
y = 3.50 - 6x
y = 3.50 - 6(0.50)
y = 3.50 - 3.00
y = $0.50
Therefore:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Your store cost on a dozen eggs is $0.75, and your retail price is $2.99. You are having a promotion that discounts the
eggs 10%. What is your margin on the discounted eggs?
Answer:
$1.94
Step-by-step explanation:
The Margin on the discounted eggs is $2.392.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Store cost on a dozen eggs is $0.75,
and retail price is $2.99.
The amount of discount is 10%
Discount given on $2.99
= 10% of 2.99
= 0.1 x 2.99
= 0.299
Cost of eggs after discount =2.99-0.299= 2.691
So, The discounted eggs costs $2.691.
Hence, The difference in store cost and discounted cost = 2.691- 0.299
= $2.392
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Find the solution of the system of equations.
6x+y=30
−2x−5y=18
Answer:
Step-by-step explanation:
6x + y = 30
-6x - 15y = 54
-14y = 84
y = -6
6x - 6 = 30
6x = 36
x = 6
(6, -6)
‼️help please.‼️What is the slope-intercept equation of the line with a slope
4
of and a y-intercept of 3?
5
Answer:
C
Step-by-step explanation:
according to the standard equation;
Y=mX+C
or, Y=4/5X +3
Can someone explain how to do this?
i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!
you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.
A surveyor at point S locates a tree 200 meters away, at point T. The surveyor turns 120 degrees counterclockwise and locates a rock formation 150 meters away, at point R. Find the distance between the tree and the rock formation.
This will require using the law of cosines.
Answer:
190
Step-by-step explanation:
The distance between the tree and the rock formation is approximately 304.14 meters.
To find the distance between the tree (point T) and the rock formation (point R), we can use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the unknown distance between the tree and the rock formation as 'd.'
We have a triangle with sides of lengths 200 meters (side ST), 150 meters (side SR), and d meters (side TR). The angle opposite side ST is 120 degrees.
According to the law of cosines:
d² = 200² + 150² - 2 * 200 * 150 * cos(120°)
Now, we can calculate this expression to find the value of d:
d² = 40000 + 22500 - 60000 * cos(120°)
Using the value of cos(120°) ≈ -0.5, we have:
d² = 40000 + 22500 - 60000 * (-0.5)
d² = 40000 + 22500 + 30000
d² = 92500
Taking the square root of both sides to solve for d:
d = √92500
d ≈ 304.14
Therefore, the distance between the tree and the rock formation is approximately 304.14 meters.
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HELP PELASE ASAPppppp
Answer:
Part 1 d/a = a/f
d/b = b/c
e/c = c/f
Explanation:
The triangles are similar.
This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.
Part 2:
78
Explanation:
Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.
5x –19 = 2x +11
3x = 30
x= 10
5(10) –19 = 31
2(10) + 11 = 31
Add the three sides: 31 +31 +16 = 78
Part 3:
Sin A= Cos B. both are a/b
Sin C= Cos A both are c/b
Sin C = c/b
Explanation:
Remember S=o/h, C=a/h , T=o/h
Look at the relationship of the sides to the angles given. If the sides match, the statement is true.
Sine of angle A is side a to side b. This is opposite/hypotenuse
Cosine of angle B is side a to side b This is adjacent/hypotenuse.
The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.
This can be confusing, but the more you practice, the easier it gets.
I hope this helps!
Sandy has 10 roses, 2 daisies, and 8 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?
Answer: The greatest number of flowers that could be in a bouquet = 2
Step-by-step explanation:
Given: Sandy has 10 roses, 2 daisies, and 8 tulips.
Each bouquet has the same number of flowers and the same type of flower.
The greatest number of flowers that could be in a bouquet = GCD (10,2,8)
Since 10=2 x 5, 8 = 2 x 2 x 2
GCD (10,2,8) =2
Then, The greatest number of flowers that could be in a bouquet = 2
Drop the answer- or i'll drop ur ip peanuts :) <3
Step-by-step explanation:
-18x -14 = - 68
=> -18x = -68 + 14
=> -18x = -54
=> 18x = 54. ['-' on both sides gets cancelled]
[tex] = > x = \frac{54}{18} [/tex]
=> x = 3 (Ans)
i am finding the volume of a shape, the area is 20mm and the length is 5cm what is the answer?
Answer:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.So the volume of the cube having side 15 mm is 3375 cubic inches.
Different Ways to Find Volume
Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...
Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. ...
Solve for Volume by Displacement.
Step-by-step explanation:
Which relation is a function?
{(3, 4), (3, 3), (1, 2), (1, 5)}
{(1, 4), (1, 3), (1, 2), (1, 1)}
{(1, 3), (2, 6), (3, 9), (4, 12)}
{(3, 4), (2, 4), (5, 1), (3, 5)}
Answer:
the 3rd one
Step-by-step explanation:
because it's in a pattern
Answer:
3rd.
Step-by-step explanation:
Write a function rule to describe this statement-
A model is %60 of the size of the real item.
Answer:
let the size of the real item be x
then the size of model as prodived will be =
60% of X
60/100 × X
=3X/5 .
Olive has 600 fruit trees. Some of the trees are apple trees. The rest of the trees are pears trees and plum trees in the ratio of 7:5 there are 175 plum trees what is the fraction of apple trees
Answer: 3/10
Step-by-step explanation:
Since the rest of the trees are pears trees and plum trees in the ratio of 7:5 and there are 175 plum trees, the number of pear trees will be:
= 175 ÷ 5/7
= 175 × 7/5
= 245
Plum trees = 175
Pear trees = 245
Apple trees = 600 - (175 + 245)
= 600 - 420
= 180
Fraction of apple trees = Number of apple trees / Total number of trees
= 180/600
= 3/10
Your family is on the way to Disneyland! On the freeway you have driven for 120 minutes at a constant speed of 65 miles per hour before you stop for lunch. After lunch you get back on the freeway with a bit of traffic and drive at a constant speed of 40 miles per hour for 30 minutes before stopping for gas. How far did you drive in all? Use a ratio method.
Answer:
150 miles
Step-by-step explanation:
Someone plz help me I will give brainliest:)
"If we leave now," she said. "We'll be right on time."
"Do you have dear Mr. Henshaw? Alice, ask the clerk."
Blvd.
add ness to strange making it strangeness
I think that the broken tv is the subject
Answer:
1) "If we leave now" she said, "We'll be right on time.
2) "Do you have deer, Mr. Henshaw?" Alice asked the clerk.
3) blvd.
4) Er (Strang-er)
5) Television
Step-by-step explanation:
Hope this Helps!!:D
If the length of a basketball court is 32 meters and the width is 9 meters, what is the diagonal of the basketball court? Round to the nearest tenth, if needed.
A. 33.2
B. 23
C. 30.7
D. 41
Answer:
the answer is a
Step-by-step explanation:
The length and breadth of a rectangular room are 5m and 3.2m. Find the cost carpeting the room at the rate of $500 per square metre
A fruit sekker buts 50 boxes of mangoes each containing 100 m mangoes at the rate of ₹1200 per box he sells each mangoes for ₹20 find his total profit and profit %
Answer:
₹40000, 66.6%
Step-by-step explanation:
Given data
Number of boxes= 50
Cost per box= ₹1200
Total cost= 50*1200= ₹60000
Total number of mangoes in all 50 boxes= 50*100= 5000 mangoes
Cost price per mago= 60000/5000= ₹12
Selling price per mango= ₹20
profit = selling price- cost price
profit= 20-12
proft= ₹8
Total profit = 8*5000
Total profit= ₹40000
%profit = 40000/60000*100
%profit= 0.666*100
%profit= 66.6%
Solve: 1/3(9x + 12) = 15
Answer:
Do u still need help
Step-by-step explanation:
Answer:
x = 11/3
Step-by-step explanation:
1/3 (9x + 12) = 15
3x + 4 = 15
3x = 11
x = 11/3
Which angle in the graph is vertical to ABI?
the angle that is vertical to ABI is EBH
someone please help
Answer:
x = 4√3, or approximately 6.93
Step-by-step explanation:
This is a right triangle with hypotenuse 13 and side lengths x and 11. According to the Pythagorean Theorem, x^2 + 11^2 = 13^2 = 169, or
x^2 + 121 = 169, or
x^2 = 48.
x must be a positive quantity. Thus, x = +√48 = + √3·√16 = +4√3
Thus, x = 4√3, or approximately 6.93
Marsha went shopping at Best Buy and spent $75.25. If the sales tax was 8.75%, how much was her total bill?
Answer:
The answer is 81.834375
Step-by-step explanation:
Hope this helps
Answer:
$81.83
Step-by-step explanation:
Amount spent: £75.25
Sales tax: 8.75%
1% of 75.25 = 0.7525
0.7525 x 8.75 = 6.584375
75.25 + 6.584375 = 81.834375
As this question involves money it needs to be rounded to 2 decimal places:
$81.83
The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:
Answer:
The coordinates are (50, 103)
Step-by-step explanation:
The three hallways are AB, BC, CD.
The co-ordinate of D is (50, 75).
The school's flagpole is 28 meters right of the point D.
Hence the y-coordinate for the flagpole will be same as D, that is 75.
The x-coordinate will be (28 + 75) = 103.
The location of the school's flagpole will be represented by (50, 103)
The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as S
Let the rectangle be represented as ABCD
The coordinates of A = A ( -1 , -1 )
The coordinates of B + B ( -1 , 1 )
The coordinates of C = C ( 4 , 1 )
So , the length of the rectangle = 4 units
The width of the rectangle = 2 units
So , the area of the rectangle S = 4 x 2 = 8 units
And , the 4th vertex of rectangle D = D ( 4 , -1 )
Hence , the coordinate D of rectangle is D ( 4 , -1 )
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What is the value of x?
Enter your answer in the box.
x =
Two intersection lines. Angle formed at the top is labeled 3 x plus 50 degrees. Angle formed at the bottom is labeled 6 x minus 10 degrees.
Answer:
the anwser is (60-50)
Step-by-step explanation:
took the test