If you're asking how this is possible,
Answer and explanation:
If Sandy and Allen's mother does the job in 5 hours
And Allen and Sandy's contributions completes the job in 2.5 hours
5 hours - 2.5 hours =2.5 hours
Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours
Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother
A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.
Please hurry
Lacy is running to raise money in a fundraiser. If her goal is to run 75 miles, how many full days would she leave have to run if she ran the distance of 3.5 miles each day?
Answer: 21 Full days
Step-by-step explanation:
Divide 3.5 by 75
Answer:
22
Step-by-step explanation:
You divide the number of miles by the miles per day and you get 21.43 and it says whole days so you have to round up to 22 days.
AABC is shown below. GE = -3y + 18 and GF = 5y + 2.
E
B
F
Find the measure of the radius of the inscribed circle of AABC.
Radius =
Answer:
Radius = 12
Step-by-step explanation:
For an inscribed circle of a triangle ABC,
GE = GF = GD = radius of the inscribed circle
Therefore, (-3y + 18) = (5y + 2)
-3y + 18 - 5y = 5y + 2 - 5y
-8y + 18 = 2
-8y + 18 - 18 = 2 - 18
-8y = -16
8y = 16
[tex]\frac{8y}{8}=\frac{16}{8}[/tex]
y = 2
Therefore, GE = -3y + 18
= -3(2) + 18
= -6 + 18
= 12
Radius of the inscribed circle = GE = 12 units
The measure of the radius of the inscribed circle is 12 units
From the given diagram, GE = GF
Given the following parameters:
GE = -3y + 18 and:
GF = 5y + 2
Equating both expressions
-3y + 18 = 5y + 2
-3y - 5y = 2 - 18
-8y = -16
y = 16/8
y = 2
The measure of the radius of the inscribed circle is GE
GE = -3y + 18
GE = -3(2) + 18
GE = -6 + 18
GE = 12 units
Hence the measure of the radius of the inscribed circle is 12 units
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Aaron buys erasers for his pencils. Each eraser costs $0.20. The total cost is $1.20. How many erasers does Aaron buy? Solve this problem any way you choose.
I think of a number, multiply it by three, and add four. I get twenty two.
a) Using the statement above, form an equation.
Use the letter 'x' for the unknown number.
3x+4=22
b)
Solve the equation.
Step-by-step explanation:
3x+4=22
3x=22-4
3x=18
x=18/3
x=6
Answer:
the answer should be like 3×6+4=22
Step-by-step explanation:
im not sure with A I mean, forming an equation, I guess it should be 3x+4=22 that's all as texted and for B
what I did was subtract 4 from 22 which I got 18 and then I divided 18 with 3, since the question said it was multiplied by 3.
22-4=18.
18÷3=6. 6×3=18
3×6+4=22
I hope this will help.
Examine the work shown. Explain the error and find the
correct result
204-16)-(-30)
2(-12) - (-30)
24-(-30)
54
Answer:6.8
or x = 102/15
step by step explanation:
30x=204
204/30
An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per hour?
What is the value of i 75 ? − 1 − − 1 − i − − i 1 1 i
A length of pipe is 6cm to the nearest meter. Complete the error interval for the length of pipe.
Answer:
My answer
Step-by-step explanation:
First you convert it and it is 0.06 m. This is because
Conversion factor: 1 m = 100 cm
1) m = cm / 100
2) m = 6 / 100
3) m = 0.06
Then you do the error interval. Error interval – the range of values (between the upper and lower bounds) in which the precise value could be. Thn you caculate it by when you do this x2 then do <. For example 5>3. The do that there now you should have the answer. Dont frget put L in frount of 0.06 x2. Thank you. Hoped this helped! :)
4.) Resolva por x: x + 3x + 2 = 0
Answer:
4x+2=0-2
4x=-2÷4
x=0.5
Find the slope of the line.
у
4
|(1,4)
-2
1
--5-4-2-1
1 x
T(-4,-1)
7
slope =
Answer:
[tex]\displaystyle m=1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -1)
Point (1, 4)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{4+1}{1+4}[/tex]Add: [tex]\displaystyle m=\frac{5}{5}[/tex]Divide: [tex]\displaystyle m=1[/tex]I need help please thanks.
Answer:
w =20.3
Step-by-step explanation:
i hope this helps you sorry i was late for your last question.
Answer:
w=20.3
Step-by-step explanation:
HELP PLEASE, QUESTION IS IMAGE
Answer:
angle 1= agle 2 corresponding ang 3+2 linear pair ang m1=n3 hence angle 1=angle 3
Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis?
g(x) = 2(3)x
g(x) = −One-half(3)x
g(x) = One-half(3)−x
g(x) = 2(3)−x
Answer: C. g(x) = 1/2(3)^-x
Step-by-step explanation: IT ISNT D
This is also my 900th answer! :)
The reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is reflection?"It is a mirror image of the shape or graph of a function. "
For given question,
We have been given a function [tex]f(x)=\frac{1}{2}(3)^x[/tex]
We know that
A reflection over the y-axis interchanges positive x-values with negative x-values, swapping x and -x.
The reflection of the given function over the y-axis will be equal to
(Remember interchanges positive x-values with negative x-values)
[tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
Therefore, the reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
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Twice the sum of 13 and x is not greater than 15
Answer:
x = 0
Step-by-step explanation:
This is saying that 2(13x) < 15
If you have 2[13(0)] < 15
It will come to 2(0) < 15
This equals 0 < 15 which is true therefore making the x value = 0
2. When three or more lines intersect at one point, they are
Answer the question below about line 1 and line 2 shown below
Step-by-step explanation:
commutative property of multiplication
3 * 5 means 5 + 5 + 5 which equals 15.
5 * 3 means 3 + 3 + 3 + 3 + 3 which equals 15.
Ifa rectangle measures 20 meters by 48 meters, what is
the length, in meters, of the diagonal of the rectangle?
Answer:
[tex]52m[/tex]
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the diagonal since drawing a diagonal across a rectangle results in two right angle triangles.
Length of diagonal [tex]= \sqrt{20^2+48^2}[/tex] (The length of the diagonal can be thought of as the hypotenuse of one of the right angle triangles)
[tex]=\sqrt{2704}[/tex]
[tex]=52 m[/tex]
∴ The length of the diagonal is [tex]52 m[/tex]
Hope this helps :)
what time does the clock shows?
Answer:
Any from 1 to 12
Step-by-step explanation:
Answer:
7:08
Step-by-step explanation:
There are 12 members in a family and 8of them are males find the ratio of the number of females and the total numbers of members
Answer:
1 : 3
Step-by-step explanation:
Total members = 12
No. of Males = 8
No. of Females = 12 - 8 = 4
Ratio of the number of females and the total numbers of members = 4/12 = 1/3 = 1 : 3
Name each polynomial by degree first, and then number of terms.
-3a
Answer:binomial, polynomial,trinomial
Step-by-step explanation:
A polynomial can be classified by its number of terms. A polynomial with two terms is called a binomial, and a polynomial with three terms is called a trinomial. A polynomial can also be classified by its degree.HELP PLEASE QUESTION IS IMAGE
9514 1404 393
Explanation:
There are several possible properties in each case. We have shown one of them.
a) squares and rectangles have four (4) angles of 90°.
b) squares have sides of equal length; rectangles may not.
c) rhombi and squares have diagonals that bisect each other at right angles
d) rhombi have sides of equal length; parallelograms may not.
e) opposite sides of all parallelograms are equal length.
PLS ANSWER THIS ASAP!!!I will put the brainiest!
Answer:
1. Segment LC ≅ Segment KB
2. Segment KJ ≅ Segment MC
3. Segment JB ≅ Segment ML
4. ∠L ≅ ∠B
5. ∠K ≅ ∠C
6. ∠M ≅ ∠J
7. ΔCML ≅ ΔKJB
8. ΔKBJ ≅ ΔCLM
9. ΔMLC ≅ ΔJBK
10.ΔJKB ≅ ΔMCL
(That's it, right?)
Step-by-step explanation:
for questions 3 & 4. Determine whether the triangles are similar. If similar, state how (SA, SSS, or SAS), and write a similarity statement
9514 1404 393
Answer:
3. ΔBEA ~ ΔBCD by AA
4. ΔPXY ~ ΔPQR by SSS
Step-by-step explanation:
3. The missing angle in ΔBEA is angle E, which has measure ...
∠E = 180° -42° -53° = 85°
So, angle E matches angle C, and the vertical angles match. The two triangles are similar by AA. The corresponding angles are B:B, and E:C, so the similarity statement needs to reflect that: ΔBEA ~ ΔBCD.
__
4. Shortest-to-longest, the side ratios of the two triangles are ...
12 : 15 : 18 = 4 : 5 : 6
and
16 : 20 : 24 = 4 : 5 : 6
Side ratios are proportional, so the triangles are similar by SSS. The similarity statement can reflect the same ordering: ΔPXY ~ ΔPQR.
Hi, I need help please!! Given that x=3 and x=-4 are the solution of the equation x2+ax+b=0, find the value of a and of b. Answer: a=1, b=-12. I don’t know how to get the answer. Please show your workings and explain. If you help me, I will give Brainliest Answer Award to you. The topic is simultaneous equations, algebra. This question is from a Grade 8 workbook.
Answer:
a = 1, b = - 12
Step-by-step explanation:
we know that x = 3 and x = - 4, so (x - 3) and (x + 4) must be the factors of the equation:
(x - 3)(x + 4)
x^2 + - 3x + 4x - 12
x^2 + x - 12
therefore a = 1 and b = - 12
Step-by-step explanation:
firstly substitute x=3 into [tex]x^{2} +ax+b=0[/tex]
[tex]3^{2} +3a+b=0[/tex]
9+3a+b = 0
b = -3a-9
secondly substitute x=-4 into [tex]x^{2} +ax+b=0[/tex]
[tex](-4)^{2} +(-4)a+b=0[/tex]
16-4a+b = 0
b = 4a-16
combine the equations above,
-3a-9 = b = 4a-16
so -3a-9 = 4a-16
7a = 7
a = 1
then substitute a = 1 into b = 4a-16 or b = -3a-9 (both are ok)
b = 4(1)-16 = -12 or b = -3(1)-9 = -12
A number plus 1/3 of the number can be expressed as
Answer:
1/3 + n
Step-by-step explanation:
Let "n" be any number. Keep in mind that plus means addition.
1/3 + n
Best of Luck!
Answer:
n + 1/3n
Step-by-step explanation:
(1 + 2) x 2
it equals 6
Answer:
yes you have to use PEMDAS
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. x =15, y = 10/3
B. r=20, y = 1013
C. x=20/3, y = 513
D. x= 15, y = 513
Answer:
D.
Step-by-step explanation:
Answer:
D boiis
Step-by-step explanation:
because i make it simple
Whirred an equation in slope-intercept form of the line with the given slope m and y- intercept b.
m= -6, b= 9/2
Answer:
y=-6x+9/2
Step-by-step explanation:
Answer:
y = -5x +9/2
Step-by-step explanation:
Use the equation : y = mx + b
replace m and b
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
In the parallelogram below, x=
Answer:
23°
Step-by-step explanation:
By interior angle sum postulate of a triangle.
x = 180° - ( 124° + 33°)
x = 180° - 157°
x = 23°
The value of x is 23°
What is the angle sum property of a triangle?
The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°
Given here, in the given triangle separated by the diagonal in the parallelogram two angles are 33° and 124°
therefore by angle sum property, the value of the third angle is
is x=180°-(33°+124°)
x= 23°
Hence, the value for x is 23°
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