Answer:
Father is 80 years old and the son is 30
Step-by-step explanation:
Let father be x and son be y:
x-5 = 3(y-5)
x = 3y-10 ------ eq1
x+y = 110
x = 110 -y -------- eq2
Now if we combine the 2 equations we get:
3y + y = 110+10
y=30 (sons age)
Substituting in equation 2 we get:
x = 110 - 30
x = 80
Therefore, the fathers age is 80 and the sons age is 30.
Find the measure of ∠3.
26°
64°
90°
116°
Answer:
90
Step-by-step explanation:
WILL MARK BRAINLIEST IF YOU ANSWER BOTH QUESTIONS WITH SOLUTION
Answer:
1. = 3xy + x - 2y - 4
2. = d^2(2c^3-8c^2d+3d^2)
Step-by-step explanation:
= 9x^2y^2 + 3x^2y - 6xy^2 - 12xy/3xy
First factor the top equation ….
= 3xy(3xy + x - 2y - 4)/3xy
If the top and the bottom both carry 3xy, you can cancel out both of them leaving you with ….
= 3xy + x - 2y - 4
= -16c^6d^6 + 64c^5d^7 - 24c^3d^8/-8c^3d^4
First factor the top equation ....
= -8c^3d^6(2c^3-8c^2d+3d^2)/-8c^3d^4
If the top and the bottom both carry -8c^3 you can cancel out both of them leaving you with ….
= d^6(2c^3-8c^2d+3d^2)/d^4
Apply the exponent rule with d^6 ....
= d^4d^2(2c^3-8c^2d+3d^2)/d^4
cancel out d^4 ....
= d^2(2c^3-8c^2d+3d^2)
What is the value of s?
Answer:
17
Step-by-step explanation:
It's a right triangle so you use the Pythagorean Theorem
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
a and b are the sides and c is always the hypoteneuse, which is the longest side and opposite from the right angle
so [tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]c^{2}[/tex]
64+225=[tex]c{2}[/tex]
289=[tex]c^{2}[/tex] take the square root of both sides to get rid of the squared
[tex]\sqrt{289}[/tex]=c
c=17
50 POINTS, GET RIGHT FOR BRAINLIEST
What is the prime factorization of 144? (The ^ means exponent)
A) 2 × 6^2
B) 2^2 × 3^4
C) 2^3 × 3^2
D) 2^4 × 3^2
Answer:
A and D
Step-by-step explanation:
A is 2 times 6 to the 2nd which is just 24 and D is 16 times 9 which is 144 both are prime factors of 144.
helppppppp pleaseeeee
if somebody can answer this I'll really really appreciate it
Answer:
What is the question?
Step-by-step explanation:
which of the following is the slope of a line perpendicular to the line defined by y-2=3x
Step-by-step explanation:
The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y=mx+
lb
Where
m
is the slope and
b
is the y-intercept value.
y
=
−
4
x
+
1
Therefore, the slope of the line represented by the equation in the problem is:
m
=
−
4
Let's call the slope of a perpendicular line:
m
p
The slope of a perpendicular line is:
m
p
=
−
1
m
Substituting gives:
mp=
[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]
A local cable TV company charges $4 for older movies and $8 for current movies, plus a monthly fee of $30. In July, Kendra ordered 5 older movies and 3 current movies.
True or False: The equation below can be used to solve the problem.
c = (5 x 4) + (3 x 8) + 30
Answer:
I'm past that level of math. Here's the answer:Letter B
Step-by-step explanation:
This table shows the battery percentage of a phone after it
has been used for x hours.
When graphed, all of these points lie on the same line.
What is the y-intercept and slope of this line?
Drag an answer into each box.
Answer:
yint -= (0,100) slope = -5 2/3
Step-by-step explanation:
yint is (0,100) because thats where it hits the y axis
slope equation is (y1-y2)/(x1-x2), just pick out any two points to do this with
(83-66)/(3-6)
17/-3
-5 2/3
Answer:
slope -17/3 y -intercept 100
Step-by-step explanation:
solve 3/4x-5=x
Give your answer correct to 2 decimal places
Answer:
x=1.69 or x=-0.44
Step-by-step explanation:
1) multiply both sides by 4x-5 to give 3=x(4x-5)
expand this ------>3=4x^2 - 5x
2) bring the 3 on the other side by subtracting 3
4x^2 - 5x - 3 = 0
3)use quadratic formula where a is 4, b is -5 and c is -3
[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]
[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]
The value of x in the equation 3 / 4x - 5 = x is -20.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
3 / 4x - 5 = x
Solve the above equation as shown below,
x = 3 / 4x - 5
x - 3 / 4 x = -5 (Transform the variable on the left side and constant on the right side)
4x - 3x / 4 = -5
x / 4 = -5
x = 4 × (-5)
x = -20
Thus, the value of x is -20.
To know more about equation:
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#SPJ2
Can someone help ????
Answer:
432
Step-by-step explanation:
Answer:
432
Step-by-step explanation:
[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]
Now, at first, we solve the numerator:
[tex](14-3^{2}+1 )^{2}[/tex]
=[tex](14-9+1)^{2}[/tex]
=[tex](15-9)^{2}[/tex]
= [tex]6^{2}[/tex]
= 36
Now let's solve the denominator:
1 ÷ 3 × [tex]\frac{1}{4}[/tex]
=[tex]\frac{1}{3} . \frac{1}{4}[/tex]
=[tex]\frac{1}{12}[/tex]
Hence,
[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]
= [tex]\frac{36}{1/12}[/tex]
= 36 x 12
= 432
Is it accurate? Just making sure to have them correct.
Where is the question ???
ANSWER ONLY IF U KNOW, OR THINK U KNOW.
(ILL MARK U BRAINLIEST)
Answer:
I KNOW FOR SURE
Step-by-step explanation:
if that's all the question is then I definitely know the answer ;)
if you forgot to write the rest then hmu haha
solve the proportion (someone pls help)
Answer:
y = 16
Step-by-step explanation:
11y = 2(24 + 4y)
11y = 48 + 8y
3y = 48
y = 16
The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 8 to 5. if there were 7332 total votes, how many no were there?
Answer:
2820 no votes
Step-by-step explanation:
The fraction of votes that were 'no' is ...
no/total = (5)/(8+5) = 5/13
The number of votes that were 'no' is ...
(5/13)(7332) = 2820 . . . no votes
Help please I really don’t understand due tomorrow
Answer:
x≥21
Step-by-step explanation:
1) Multiply both sides by the denominator (3)
x+21≥42
2)Move the constant to the right (21)
x≥42-21
3) Calculate it
x≥21
-8,-8,-6,-2,4,12,22
What. Is the answer
Answer:
-8-8-6-2= -24, -24+4+12+22=14
help algebra 2 look at all the pictures please multiple choice
Relation given:-
{(-2,5),(-1,3),(0,-1),(1,-3),(2,-5),(3,-7)}Inverse
{(5,-2),(3,-1),(-1,0),(-3,1),(-5,2),(-7,3)}#2
f(x)=2x-3Let it be y
[tex]\\ \tt\hookrightarrow y=2x-3[/tex]
[tex]\\ \tt\hookrightarrow 2x=y+3[/tex]
[tex]\\ \tt\hookrightarrow x=y+3/2[/tex]
Write in terms of x
[tex]\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}[/tex]
A scale drawing of an elephant shows the animal as 6 inches high and
10.8 inches long. The scale used for the drawing was 3 in..5 ft.
What are the height and length of the actual elephant?
Height:
feet
Length:
feet
Step-by-step explanation:
3 in to 5 ft
so, one basic unit in the drawing is in fact 3 inches.
how many base units fit into the numbers ? these factors need then to be multiplied with the base units of 5 ft for reality.
6 inches high
6 / 3 = 2
so, the elephant is 2 units high, which means in reality 2×5 = 10 ft high.
10.8 inches long
10.8 / 3 = 3.6
so, the elephant is 3.6 units long, which means in reality 3.6×5 = 18 ft long.
Simplify this expression: 4(x+3)+3(5-x)
Answer:
x+27
Step-by-step explanation:
Let's simplify step-by-step.
4(x+3)+3(5−x)
Distribute:
=(4)(x)+(4)(3)+(3)(5)+(3)(−x)
=4x+12+15+−3x
Combine Like Terms:
=4x+12+15+−3x
=(4x+−3x)+(12+15)
=x+27
Hope you find this Useful!
Answer:
x+27
Step-by-step explanation:
Distribute
4(+3)+3(5−)
4+12+3(5−)
Rearrange terms
4x+12+3(5−x)
4+12+3(−+5)
Distribute
4x+12+3(−x+5)
4+12−3+15
Add the numbers
4x+12−3x+15
4+27−3
Combine like terms
4x+27−3x
1+27
Multiply by 1
1x+27
+27
What is the slope of the line
Answer:
2/3
Step-by-step explanation:
rise over run is 2 over 3, and it is positive because the y increases as the x increases!
What is the value of x?
A) 3
B) 6
C) 8
D) 1
Answer:
I'm amusing its the answer is C
I need help with this equation
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, - 18) ← 2 ordered pairs from the table
m = [tex]\frac{-18-0}{4-(-5)}[/tex] = [tex]\frac{-18}{4+5}[/tex] = [tex]\frac{-18}{9}[/tex] = - 2
9 (4x - 6) = 2(-3 - 2x)
[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
If needed,round your answer to the nearest cent.
please help me.
Answer:
1.62 per pen
Step-by-step explanation:
Take the total cost and divide by the number of pens
9.69/6
1.615
Round to the nearest cent
1.62 per pen
One person can mow a lawn in 30 minutes. A second person requires 45 minutes to mow that lawn. How long will it take the two people, working together, to mow the lawn?
Answer: 16 1/4 minutes
Step-by-step explanation:
Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.
We are told that A = 30 min/lawn. B = 45 min/lawn. These are conversion factors, so we can invert them to:
A = 1 lawn/30 min. B = 1 lawn/45 min
If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:
X*(A + B) = Lawn Mowed
We want to know the time, X, it would take to mow the same 1 lawn together. [Lawn Mowed = 1]. Use the equation:
X*(A + B) = Lawn Mowed
X*((1 lawn/30 min) + (1 lawn/45 min)) = 1
X/(30 min) + X/(45 min) = 1
X/30 + X/45= 1
X + X(30/35) = 30 {Multiply both sides by 30]
(1 + 30/35)X = 30
(65/35)X = 30
X = 30*(35/65)
X = 30/(7/13)
X = 30*(7/13)
X = 210/13
X = 16 1/4 minutes
What is the prime factorization of 585?
585=
×
×
×
help pls im not thatgood at math
Answer:
3^2 * 5 * 13
Step-by-step explanation:
585
= 5 * 117
= 5 * 3 * 39
= 5 * 3 * 3 * 13
= 3^2 * 5 * 13
Answer:
3×3×5×13 that's the answer
Please can someone help me answer this
Answer:
½ x 6 x 3=9 which is 9+9+9+9+9
A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gallons of gasoline can the family buy if they buy 13 meals
’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons
Given the Parameters :
Total budget = 1338Meal cost = $90Gasoline cost = $2.80 per gallon Number of meals = 13 Number of gallons of gasoline = gHence, we have :
90(13) + 2.80g = 13381170 + 2.80g = 1338
2.80g = 1338 - 1170
2.80g = 168
g = 168/2.80
g = 60
Therefore, only 60 gallons of gasoline can be purchased.
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My sweatshirt rhat i want to buy is $36 today the price is 30% off what is the price of the sweatshirt today
multiply (2x+3) (-x -2)
Answer:
[tex]-2x^{2} -7x-6[/tex]
Step-by-step explanation:
(2x + 3) (-x - 2)
distribute first term, to the second term:
2x(-x) + 2x(-2) + 3(-x) + 3(-2)
multiply:
[tex](-2x^{2})[/tex] + (-4x) + (-3x) + (-6)
[tex]-2x^{2} -4x-3x-6[/tex]
combine the like terms:
[tex]-2x^{2}[/tex] - 4x - 3x - 6
-7x
[tex]-2x^{2}[/tex] - 7x - 6
final answer :
[tex]-2x^{2}[/tex] - 7x - 6
hope this helped !!
mark me brainliest :D