Width of Heng's area model is 2x + 1
Step-by-step explanation:
Given:
Greatest common factor is 5x
To Find:
The width = ?
Solution:
let the be the area
And 5x be the length
Then area = length x width
Now rewriting the formula for width, we get
Width =
Substituting the values in the above formula
Width =
Width = 2x + 1
Shelley had 53¢ until she spent 1 quarter. How much money does Shelley have now?
Answer:
28¢
Step-by-step explanation:
A quarter is 25¢, so 53¢ - 25¢ = 28¢.
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
a) 0
b) 3
c) -3
d) undefined
Answer:
a) 0
Step-by-step explanation:
the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)
we are given the points (3,-2) and (9,-2)
we can label the points:
x1=3
y1=-2
x2=9
y2=-2
now substitute into the equation:
m=(-2--2)/(9-3)
simplify
m=(-2+2)/6
m=0/6
m=0
the slope of the line is 0, which is option a
Hope this helps!
cs.
The width of a rectangle is
12 cm less than the length.
The area is 64 cm2. Find the
length and width.
Answer:
Length of rectangle = 16 cm
Width of rectangle = 4 cm
Step-by-step explanation:
Given:
Area of rectangle = 64 cm²
Find:
Length and width
Computation:
Assume;
Length of rectangle = a
So,
Width of rectangle = a -12
Area of rectangle = l x b
So,
a(a-12) = 64
a² - 12a - 64 = 0
a² - (16-4)a - 64 = 0
a² - 16a+ 4a - 64 = 0
a (a-16) + 4(a-16)= 0
(a-16)(a+4) = 0
a= 16 , a = -4
So,
Length of rectangle = 16 cm
Width of rectangle = a -12
Width of rectangle = 16 -12
Width of rectangle = 4 cm
Mrs Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?
Answer: 4 + 2w
Step-by-step explanation:
The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:
h = 4 + 2(w)
h = 4 + 2w
For example, the height of the tomato plant in inches after 5 weeks will be:
h = 4 + 2w
h = 4 + 2(5)
h = 4 + 10
h = 14 inches
Aziz purchesis 4 2/8 feet of fabric he used 1/5 of fabric to make a tote bag how much fabric will aziz have left over?
Answer:
3/20
Step-by-step explanation:
Fabric left over = total fabric purchased - total fabric used to make a tote bag
total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =
[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]
fabric left over = 1 - 34/40
40 / 40 - 34/40 = 6 /40
To transform to the simplest form. divide both the numerator and the denominator by 2
3/20
Za and Zb are complementary angles. Za measures 37°.
What is the measure of Zb?
Answer: 53 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.
Plz help ASAP I will mark u branliest
I AM IN GREAT DEED OF HELP RIGHT NOW
Answer:
$4.16
Step-by-step explanation:
8% of $52 is 4.16.
In total the item would cost $56.16.
All you do is 52 x .08 = 4.16
Make sure to divide the percentage (8/100=.08) before multiplying.
Please answer the question bellow
No solution
because delta ( b^2 - 4ac ) is lower than 0(zero) .
HELPP! this is my second time uploading this question:,,)
George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answer:
X can equal 22.5
Step-by-step explanation:
I've set up the equation below:
[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]
So...
[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]
So, x is 22.5, making the equation indeed solvable.
Have a nice day, fam. This problem really worked my brain! Spread The Love.
Remove parentheses using the distributive property 9 ( x + 8)
Answer:
9x + 72
Step-by-step explanation:
Answer:
9x + 8
Step-by-step explanation:
Hope this helps have a nice day :)
*You don't have to read this part*
Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)
Answer:
(-12 , 2)
Step-by-step explanation:
GIVEN :-
Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)TO FIND :-
Co-ordinates of another endpoint.FACTS TO KNOW BEFORE SOLVING :-
Section Formula :-
Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =
[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]
PROCEDURE :-
Let the co-ordinates of another endpoint be (x , y)
So ,
[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]
First , lets solve for x.
[tex]=> \frac{x - 4}{2} = -8[/tex]
[tex]=> x - 4 = -8 \times 2 = -16[/tex]
[tex]=> x = -16 + 4 = -12[/tex]
Now , lets solve for y.
[tex]=> \frac{y - 10}{2} = -4[/tex]
[tex]=> y - 10 = -4 \times 2 = -8[/tex]
[tex]=> y = -8 + 10 = 2[/tex]
∴ The co-ordinates of another endpoint = (-12 , 2)
1. Write the word sentence as an equation. 2. Then solve the equation. 5/7a=25
Answer:
a = 35
Step-by-step explanation:
5/7a = 25
multiply both sides by 7:
5a = 175
divide by 5:
a = 35
Hope this helps !!!
additive inverse of 8/-13 pls help fast
Answer:
8/13
hope this answer helps you.....
Since you started recording it on your calendar. There have been 112 sunny and 42 rainy days. What has been the rainy day to sunny day ratio?
Answer: 3:8
Step-by-step explanation:
Number of rainy days = 42
Number of sunny days = 112
To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:
= Number of rainy days / Number of sunny days
= 42 / 112
= 3/8
Therefore, the ratio of rainy days to sunny days will be 3:8
Find the slope of the line graphed below .
Answer:
the slope would be rise over run
it is shown in the graph it rise 3units and run 2units therefore it's 3/2
A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between the ground and the ladder
Answer:
65.38degrees
Step-by-step explanation:
Given the following
Length of ladder = 12foot = hypotenuse
Distance of the ladder from the wall = 5ft = adjacent
Required
Angle between the ground and the ladder theta
Using the SOH CAH TOA identity
Cos theta = adj/hyp
Cos theta = 5/12
Cos theta = 0.41667
theta = arccos(0.41667)
theta = 65.38 degrees
Hence the angle between the ground and the floor is 65.38degrees
a class of 225 students,80 of them study Arabic only and 125 study french only. How many study both subjects.(venn diagram)
Answer:
20
Step-by-step explanation:
225-80=145
145-125=20
The smelter produces 384 tons of cast iron a day. How much coke is burned per day during smelting if 15 tons of coke is consumed per 16 tons of cast iron?
Answer:
360 tons
Step-by-step explanation:
Coke burned : cast iron = 15 : 16
The smelter produces 384 tons of cast iron a day
Let x = tons of coke burned
Coke burned : cast iron = x : 384
Equate both ratios
15 : 16 = x : 384
15/16 = x/384
Cross product
15 * 384 = 16 * x
5,760 = 16x
x = 5,760/16
x = 360
x = tons of coke burned = 360 tons
Please help with this
Step-by-step explanation:
I need the graph. I'll answer if you send me the graph that is uses
What’s the answer????
Answer:
X = 9
Step-by-step explanation:
Help Resa
Find the volume of this object.
Use 3 for a
Volume of a Cylinder
V= r2h
Volume of a Cone
V= Arh
3
7 cm
!6cm
V
V ~ [?]cm3
Enter
Answer:
Volume of given figure = 113.12 cm²
Step-by-step explanation:
Given:
Radius of cylinder = 4/2 = 2cm
Radius of cone = 4/2 = 2 cm
Height of cylinder = 7 cm
Height of cone = 6 cm
Find:
Volume of given figure
Computation:
Volume of given figure = Volume of cylinder + Volume of cone
Volume of given figure = πr²h + (1/3)πr²h
Volume of given figure = (22/7)(2)²(7) + (1/3)(22/7)(2)²(6)
Volume of given figure = (22/7)(4)(7) + (1/3)(22/7)(4)(6)
Volume of given figure = (22)(4) + (22/7)(4)(2)
Volume of given figure = 88 + 25.14
Volume of given figure = 113.12 cm²
please help me please will give brainliest
Answer:
it's the 3rd option (eeeexxxxttteeennndddeeerrr)
Answer:
the correct answer is c i hoped this helped
There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Complete question :
There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Answer:
1 /9
Step-by-step explanation:
Capacity of container = 3 gallons
Amount of gallons in container = 1/3 gallon.
Fraction of water in container:
Division equation :
Amount of gallon in container / capacity of container
1 /3 ÷ 3 = 1/ 9
Multiplication equation :
1/3 of 1 gallon
Capacity of container = 3 gallons
1/ 3 * inverse of 3
1/3 * 1/3 = 1/9
whats the difference between coterminal, reference, and rotational angles?
Answer:
If two angles in standard position have the same terminal side, they are called coterminal angles.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation
If two angles in standard position have the same terminal side, they are called coterminal angles.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.
Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.
To learn more about an angle visit:
https://brainly.com/question/28451077.
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i forgot how to do this plz help
Answer:
C. 48°
Step-by-step explanation:
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
HELP!!! answer quickly pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Each of the green lines has 3 times the length of the corresponding blue line. Thus the dilution factor is 3.
