1. Observe problem
1-(1/8+1/12+1/2)
Make all common denominator
The Least common multiple of 8,12, and 2 is 24
1-((3+2+12)/24)=
1-17/24=
7/24
Therefore, 28 years make up 7/24 of his life.
Simplifying, he grows 4 years for every 1/24 of his life
4 times 24 is 96, so
Fred is 96 currently(that's pretty old)
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
Fred is an old man he lived 1/8th of his life as a boyHe lived 1/12th of his life as a youth , 1/2 of his life as a man and 28 years in his old age[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the current age of Fred?[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]
Let the present age of Fred be x
Therefore,
According to the question,
[tex]\sf{ 1/8x + 1/12x + 1/2x + 28 = x }[/tex]
[tex]\sf{ (3x + 2x + 12x )/24 + 28 = x }[/tex]
[tex]\sf{ 17x/24 + 28 = x }[/tex]
[tex]\sf{ 28 = x - (17/24)x}[/tex]
[tex]\sf{ 28 = 24x - 17x/24 }[/tex]
[tex]\sf{28 = 7x/24 }[/tex]
[tex]\sf{ 28 = 7x/24}[/tex]
[tex]\sf{ 7x = 28 × 24}[/tex]
[tex]\sf{ x = 672/7}[/tex]
[tex]\sf{ x = 96\: years}[/tex]
[tex]\sf{\red{ Hence,\: The\: total\: age\: of\: Fred \:is \: 96\: years }}[/tex]
Need help with this question ASAP for geometry!
Can the triangles be proven similar?
helpo helpo I'm gonna ie
are those the answer choise?
Step-by-step explanation:
Answer:
this is extremely simple. the sasha one is right.
Step-by-step explanation:
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:))
Help me I need help please please help
Answer:
B is the answer I believe. I could be C tho. B is my final answer.
If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG
please help I have no idea how to do this its geometry problem for my math hw even my parents and siblings who are older than me don't know how to do this
Answer:
EG = 2 units
Step-by-step explanation:
Given that line q bisects EG at T , then
ET = TG ( substitute values )
[tex]\frac{1}{3}[/tex] x = x - 2 ( multiply through by 3 to clear the fraction )
x = 3x - 6 ( subtract x from both sides )
0 = 2x - 6 ( add 6 to both sides )
6 = 2x ( divide both sides by 2 )
3 = x
Then
ET = [tex]\frac{1}{3}[/tex] x = [tex]\frac{1}{3}[/tex] × 3 = 1
TG = x - 2 = 3 - 2 = 1
Thus
EG = ET + TG = 1 + 1 = 2 units
EG = [tex] \frac{4x}{3} - 2[/tex]
Step-by-step explanation:
( First check the attached image for diagram )
[tex]EG=ET+TG[/tex]
Substituting the given values,
[tex]EG = \frac{1}{3}x + (x - 2)[/tex]
Opening the brackets and multiplying,
[tex]EG = \frac{1 \times x}{3} + x - 2 [/tex]
[tex] = > EG = \frac{x}{3} + x - 2[/tex]
Finding LCM,
[tex] = > EG = ( \frac{x}{3} + \frac{x \times 3}{1 \times 3} ) - 2[/tex]
[tex] = > EG = ( \frac{x}{3} + \frac{3x}{3}) - 2[/tex]
Combining them,
[tex]EG =( \frac{x + 3x}{3}) - 2[/tex]
[tex]EG = \frac{4x}{3} - 2[/tex]
Note:- T is midpoint of EG
because ET = TG
What is the justification for step 3 in the solution process?
0.8a − 0.1a = a − 2.5
Step 1: 0.7a = a − 2.5
Step 2: -0.3a = -2.5
Step 3: a = 8.3
Answer:
value of a=8.333
Step-by-step explanation:
we take equation two and hence we divide both side by -0.3
hence
-2.5/-0.3
=8.333
Answer:
is letter A .the division property of equality
Step-by-step explanation:
Hope it help you!!
six tickets were purchased a total cost pf $345. the cost of each ticket includes a $11.25 fee. what was the price of each ticket before the fee was applied?
Answer:
57.50
Step-by-step explanation:
simply divide 345/6 which equals 57.5 which is 57.50
Answer:
price before fee was applied is $46.25
Step-by-step explanation:
$345/6= $57.5
divide total cost by number of tickets bought
$57.5-$11.25= $46.25
subtract the fee applied
Which of the following options represents a logical first step that can be used
1
2
to prove the trigonometric identity
1-sin(x) '1+sin(x) cos? (x)
+
?
O
A.
1+sin(x) +1-sin(x)
1-sin(x)
2
cos? (x)
B.
1
1
1
1-sin(x) 1+sin(x)
1
2
cos(x)
C.
2
1
1-sin(x) cos(x) 1+sin(x)
D.
2
1
1+sin(x) cos'(x) 1-sin(x)
Answer:
A) [tex]\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]
Step-by-step explanation:
By combining the fractions on the left side into one fraction, we have:
[tex]\frac{1}{1-sin(x)}+\frac{1}{1+sin(x)}=\frac{2}{cos^2(x)}\\ \\\frac{1+sin(x)+1-sin(x)}{(1-sin(x))(1+sin(x))}=\frac{2}{cos^2(x)}\\\\\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]
Also, given the Pythagorean Identity [tex]sin^2(x)+cos^2(x)=1[/tex], then [tex]cos^2(x)=1-sin^2(x)[/tex].
4) Shown below is a series of steps to solve the equation 4x + 2(x - 4) = 28.
Given: 4x + 2(x - 4) - 28
Step 1 = 4x + 2x - 8 = 28
Step 2 => 6x - 8 = 28
Step 3 => 6x - 8 + 8 = 28 + 8
Step 4 = 6x = 36
6x36
Step 5
6 6
Step 6 => x = 6
Which THREE statements are correct?
A) Step 1 is justified by the distributive property.
B) Step 2 is justified by the subtraction property of equality
C) Step 3 is justified by the addition property of equality
D) Step 4 is justified by the additive Identity property.
E) Step 5 is justified by the division property of equality
Alexa put $850 into savings account that earns 0.75% annual simple interest. If Alexa doesn’t make any deposits or withdrawals for 18 months, how much money will be in her account?
Principal= 850
rate = 0.75%
period = 18months
interest = 850x0.75%x18
= 850x0.0075x18
= 114.75
amount after 18 months
= 850+114.75 = $964.75
Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)
Answer:
equation of the line: 2x - y = 1
Step-by-step explanation:
Given coordinates: (2, 3) and (3,5)
find slope of the equation:
[tex]\frac{y2-y1}{x2-x1}[/tex]using the formula:
→ [tex]\frac{5-3}{3-2}[/tex]
→ [tex]2\\[/tex] .............this is slope, also refereed as (m) in short form.
using the equation formula:
y - y1 = m ( x - x1 )using the formula:
→ y - 3 = 2 ( x - 2 )
→ y - 3 = 2x - 4
→ y = 2x -4 +3
→ y = 2x - 1
→ -2x + y = -1
→ (-2x + y)/-1 = -1 /-1 [ divide both sides by -1 ]
→ 2x - y = 1 .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.
HELP ME NOWWW PLS K12
Answer:
2 units
Step-by-step explanation:
It will be lovely if anyone would help?
Answer:
yes
Step-by-step explanation:
I would help. Just give me the question
Can someone help me!?
Answer:
A
Step-by-step explanation:
Set equation equal to 0
What is the radius and diameter of 11cm
Answer: Radius=11cm Diameter=22cm
Step-by-step explanation:
422801,15÷101
long division
Answer:
4186.15
Step-by-step explanation:
Answer:
418,615 or 4,186.15
Step-by-step explanation:i cant tell if it is a desimal or a full number if desimal 4,186.15 if not desimal 418,615
aayan gets 48 out of 60 in his music exam. state the result as a percentage
Answer:
It can be set up as: 48/60
But it can also written as 48 divided by 608. When we put a percent sign we always move the decimal to the right two places. The percentage is 80%
If Olivia solves every sixth math problem and Nora solves every fifth math problem in a worksheet, which question will be the first that they both solve?
Answer:
the 30th question
Step-by-step explanation:
the LCM of 5 and 6 is 30 meaning that the question that they will both do is the 30th question.
Mary sold 50 tickets for the school play Student tickets cost $2 and adult tickets cos $ 5. Mary's sales totaled $ 154.00. How many adult tickets and how many student tickets did Mary sell?
Answer:
the correct answer is that mary sold 18 adult tickets and 32 student tickets
if she sold 18 adult tickets it would be 90 dollars, and if she sold 32 student tickets she would get 64 from that, if we add the amount of people that bought tickets and how much she got it would work out
with 18 adults+32 students being exactly 50
and 90+64 being 154.
I tried different solutions, I did 18 adults and 32 Students, since there are 50 tickets sold, this is the correct answer since if we do this the amount she makes from the adults will be 90 and she will make 64 from the students this will add up to $154
Order the numbers from least to greatest. -1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. -1.95, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95, -1 WOMALOWAS Please select the best answer from the choices provided B c D
Answer:
Step-by-step explanation:
uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95
The larger the negative number, the lower the value the number actually is.
Answer: b. -1.95, -1.895, -1
Please help me with this math problem!! NO LINKS PLEASE!! I will give brainliest!!
Answer:
z = 7, x = 3, y = 20
Step-by-step explanation
3z + 5 = 26
3z = 21
z = 7
NP = NQ x 2
8x - 4 = 4x + 8
4x = 12
x = 3
y = pq/2
p = y; q = 10
10 x 2 = 20
y = 20
I hope this helps!
Graph the solution to this inequality on the number line.
−12≥−4p
Answer:
A closed circle on 3 going right.
Step-by-step explanation:
-12 ≥ -4p
/-4 /-4
3 ≤ p which also mean p ≥ 3
This will be a closed circle on 3 going right.
Hope that helps!
Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle is shown with one side labeled as 2 x minus 2 and another side labeled as x plus 4. 2x2 3x − 20 2x2 13x − 1 2x2 13x − 20 2x2 3x − 1.
The Simplified polynomial expression in the standard form which represents the area of the given rectangle is,
[tex]2x^2+6x-8[/tex]
What is area of rectangle?The area of rectangle is the product of its length and width. It can be given as,
[tex]A=a\times b[/tex]
Here, (a) is the length of the rectangle and (b) is the width of the rectangle.
Given information-
One side of the rectangle is labeled as 2x-2.
Another side of the rectangle is labeled as x+4.
The image of the rectangle is attached below.
Let (l) is the length of the rectangle and (w) is the width of the rectangle.
In the below image, the length of the rectangle is,
[tex]l=4x+2[/tex]
The width of the rectangle is,
[tex]w=2x-2[/tex]
The area of the rectangle is the product of its length and width. Thus the area of the given rectangle is,
[tex]A=l\times w\\[/tex]
Put the values in the above expression as,
[tex]A=(x+4)\times(2x-2)\\A=2x^2+8x-2x-8\\A=2x^2+6x-8[/tex]
Thus the area of rectangle in simplified polynomial expression in the standard form is,
[tex]2x^2+6x-8[/tex]
Learn more about the area of rectangle here;
https://brainly.com/question/25292087
Find x, then find the measurement of both angles.
Answer:
x=30
Step-by-step explanation:
2x+54=4x-6[corresponding angles]
2x-4x=-6-54
-2x=-60
x=-60÷-2
x=30
The area of the isosceles triangle below
Answer:
area:39
Step-by-step explanation:
How do you solve?
2.5 x 1/4=
here you go, hope this helps
Convert the statement into if-then form, "Squares have right angles."
Answer:
If the shape is a square, then it has right angles.
Answer:
If a shape is a square, then it has right angles.
Step-by-step explanation:
Hi there!
The statement 'squares have right angles' tells us that any and all squares have right angles. Therefore, if a shape is a square, then it has right angles.
I hope this helps!
Find the value please and ty
Answer:
-3
Step-by-step explanation:
The value of f(-3) can be found at looking at the x-value of -3, then drawing a vertical line. If you look at the point where the vertical line hits th graph, you get the point (-3,-3)
The y-value is what we are looking for, which is -3.
-Chetan K
Sam is taking photos for the yearbook. She takes 140 photos in the morning. In the afternoon, she takes 60% more photos. How many photos does Sam take in the afternoon?.
Answer:
224
Step-by-step explanation:
60% more than 140
What is the slope of
A. y - 5 = 3/2 (x + 4)
B. y + 2 = 5x
C. y = -2 (x - 5/8)
Answer:
[tex] - - - - - (a) \: y - 5 = \frac{3}{2} (x + 4) \\ y - 5 = \frac{3}{2} x + \frac{3 \times 4}{2} \\ y - 5 = \frac{3}{2} x + 6 \\ y = \frac{3}{2} + 11 \\ (the \: slope \: is \: \frac{3}{2} ) \\ - - - - - - - - ( b) \: y + 2 = 5x \\ y = 5x - 2 \\ (the \: slope \: is \: 5) \\ - - - - -(c) \: y = - 2(x - \frac{5}{8} ) \\ y = - 2x + \frac{5}{4} \\ (the \: slope \: is \: - 2)[/tex]
please I need the answers now