Answer:
Alex = 19 years
Bart's = 15 years
Carl = 8 years
Step-by-step explanation:
Let us represent their ages as
Alex = x
Bart's = y
Carl = z
the sum of the ages of the three brothers is 42
x + y + z = 42
Alex his age is three more than twice Carl's age
x = 2z + 3
The difference between Barts in Carl's ages is seven years
y - z = 7
y = 7 + z
Hence: we Substitute
x + y + z = 42
2z + 3 + 7 + z + z = 42
Collect like terms
2z + z + z + 10 = 42
4z = 42 - 10
4z = 32
z = 32/4
z = 8 years
Hence, Carl = 8 years old
a) y = 7 + z
y = 7 + 8
y = 15 years.
Hence, Bart's is 15 years old
b)x = 2z + 3
x = 2(8) + 3
= 16 + 3
= 19 years
Therefore, Alex is 19 years old.
at what rate of interest the compound amount on rs 8000 for 2 years is rs 10648? Please someones help me
Answer:
hope this helps and pls mark as brainliest
Please answer I will mark you as brainlist PLEASEEE ANSWER
HELP I SUCK AT MATH HELP ASAP PLZZZ!!! GIVING BRIANLIEST AND POINTS.
Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200.
Henry orders 600 shirts and determines that the profit for his new business is modeled by the function p = 22x - 1200. What is the range of this function in this context?
A) {0 ≤ p ≤ 500}
B) {0 ≥ p ≥ 500}
C) {-1,200 ≤ p ≤ 2,000}
D) {-1,200 ≤ p ≤ 12,000}
Answer:
isD
Step-by-step explanation:
Answer:
D) {-1200 < p < 12,000}
Step-by-step explanation:
have a good day
3) Find three consecutive integers such that 3 times
the largest integer is twice the sum of the other two
integers.
Answer:
wepppp
Step-by-step explanation:
2. — (xy + 1)2 - 2
Evaluate the expression
Answer:
-2xy-4
Step-by-step explanation:
Hope this helps. Plz give brainliest
A lighthouse cast a shadow of 12 feet. A nearby lamppost measures 5.25 feet tall and cast a shadow of 8 feet. What is the height of the lighthouse to the nearest tenth?
Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 2x - 6.
The line shown represents the amount of money Ben owes on his lunch account.
2 days ago, he owed $1. What is an equation of the line in point-slope form?
Answer:
y=2x-1
Step-by-step explanation:
Remeber to put no spaces on the test
and it is this answer bc he owes one dollar evryday and owing is negative
Regina drew a triangle with vertices at ( 1 , 2 ) , ( 3 , 3 ) , and ( 4 , 1 ) . She slides the triangle 2 units down to create an image. What are the vertices of the image?
A. ( 1 , 0 ) , ( 3 , 1 ) , and ( 4 , − 1 )
B. ( 1 , 4 ) , ( 3 , 5 ) , and ( 4 , 3 )
C. ( − 1 , 2 ) , ( 1 , 3 ) , and ( 2 , 1 )
D. ( 3 , 2 ) , ( 5 , 3 ) , and ( 6 , 1 )
Answer:
A) (1,0), (3,1), and 4,-1)
Step-by-step explanation:
subtract 2 from all of the y-values
(1,0), (3,1), and (4,-1)
So it's A.
Answer:
The answer is A.
Step-by-step explanation:
It would be best to graph this yourself and move each plot down 2 units. Your answer would be the location of the plots after moving them.
Each output of a function is 0.25 greater than the corresponding input. Which equation is a rule for
the function?
O y = 0.25x
O y = x/0.25
O y = x +0.25
O y = x - 0.25
Answer:
A. y = x+0.25
23.749 in expanded form using fractions
Answer:
23749/1000
Step-by-step explanation:
PLEASE HELPWhich graphs display a directly proportional relationship? Check all that apply.
On a coordinate plane, a line goes through points (0, 0) and (1, negative 3).
On a coordinate plane, a line goes through points (0, 1) and (1, 2).
On a coordinate plane, a line goes through points (0, 0) and (1, 3).
On a coordinate plane, a line goes through points (0, 0) and (2, 2).
Answer:
ACD
Step-by-step explanation:
Answer:
A. C. D.
Step-by-step explanation:
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)
Answer:
B or (-1)(1/2)(-1)(1)
Step-by-step explanation:
-4/5 is closest to (-1)
3/5 is closest to 1/2
-6/7 is closest to (-1)
5/6 is closest to 1
hope this helps
Answer: B
Step-by-step explanation:
I did the test on edge...
elise says, "if you subtract 16 from from my number and multiply the difference by -5, the result is -35." what is elise's number?
Answer:
23
Step-by-step explanation:
1. (x-16)-5=-35
2. (x-16)=-35/-5
3. x-16=7
4. x=16+7
5. x=23
Jorryn says that 10 less than 3 times his age is equal to 11 years old. How old is
Jorryn?
3 yrs
57 yes
63 yrs
Please answer these... please
Answer:
1) y=1/8x+2
2) y=1/35x+100
Step-by-step explanation:
Suzl starts her hike at 300 feet below sea level. When she reaches the end of the
hike, she is still below sea level at -103 feet. What was the change in elevation
from the beginning of Suzi's hike to the end of the hike?
The change was (
feet.
For all the other viewers of this question, the change was -403 feet or you could say 403 feet i guess but the answer is -403 feet
FRESHMEN MATH PLEASE HELP
Answer:
ok
Step-by-step explanation:
Each side of a square is (7+3x) units . Which is the perimeter of the square
Answer:
28 + 12x
Step-by-step explanation:
Perimeter= all sides added
Square= 4 same length sides
4(7 + 3x) = 28 + 12x
A furniture store buys a couch for $800. They mark up the price by 30%. At what price does the furniture store sell the couch?
A. $240
B.$560
C.$1040
D.$1360
i need help i’m really a bad at math
Answer:
what u need help with?
Step-by-step explanation:
Answer:
the slope is 0.6
Step-by-step explanation: ΔY /ΔX
Determine the value of e. image attached.
Answer:
answer: b. 16
Step-by-step explanation:
8*4=32
32*0.5=
16
Find the value of c so that (x+1) is a factor of the polymonial p(x)=5x^4+7x^3-2x^2-3x+c
Answer:
BRAINLIEST PLZZZZ
Step-by-step explanation:
Also given that (x+1) is factor of given polynomial p(x).
Need to determine value of constant c.
We will be solving above problem using factor theorem.
Factor theorem says that if ( x – a) is a factor of any polynomial f(x) , then f(a) = 0.
As in our case f(x) = p(x) and factor of p(x) is (x + 1) , which can be rewritten as (x – ( -1)) , so "a" in our case is -1 .
According to factor theorem p(-1) = 0
On substituting x = -1 , in given expression of p(x) we get
Hence value of c in the given polynomial is 1
Answer:
c = - 3
Step-by-step explanation:
[tex] \because [/tex] (x+1) is a factor of the polymonial [tex] p(x)=5x^4+7x^3-2x^2-3x+c[/tex]
Let (x + 1) =0[tex] \implies [/tex] x = - 1
[tex] \therefore [/tex] at x = - 1, p(x) =0.
[tex]p(x)=5x^4+7x^3-2x^2-3x+c \\ \\ 0 = 5( { - 1})^{4} + 7( { - 1})^{3} - 2( { - 1})^{2} - 3( - 1) + c \\ \\ 0 = 5 \times 1 + 7( - 1) - 2 \times 1 + 3 + c \\ \\ 0 = 5 - 7 - 2 + 3 + c \\ \\ 0 = 7 - 7 + 3 + c \\ \\ 0 = 3 + c \\ \\ c = - 3[/tex]
After 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he was on page 20. Which equation models the page number, y, in terms of minutes x?
Group of answer choices
y = 8x + 1.5
y = 1.5x + 8
y = −1.5x + 8
y = –8x + 1.5
Answer:
The answer would be (B) y = 1.5x + 8
Step-by-step explanation:
The equation that models the number of pages (y) and number of minutes (x) is y = 1.5x + 8.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Aaron who is reading a book. After 4 minutes of reading, Aaron was on page 14 of his book and after 8 minutes he was on page 20.
Now -
(x) represents the number of minutes and (y) is the number of pages.
At x = 4, y = 14
At x = 8, y = 20
The slope of the line will be -
m = (20 - 14)/(8 - 4)
m = 6/4
m = 3/2
The general equation can be written as -
y = 3x/2 + c
20 = 3/2 x 8 + c
20 = 12 + c
c = 8
Now, we can write the equation as -
y = 1.5x + 8
Therefore, the equation that models the number of pages (y) and number of minutes (x) is y = 1.5x + 8.
To solve more questions on Equation modelling, visit the link below-
https://brainly.com/question/17928312
#SPJ2
1. find the distance between the points (-4,-6 ) and (8,5) to the nearest 100th of a unit. *
(3 Points)
16.26
16.32
16.28
Answer:
Distance is 16.28.
Step-by-step explanation:
[tex]Distance=\sqrt{((5--6)^{2}+(8--4)^{2} } =\sqrt{11^{2}+12^{2} }=\sqrt{121+144} =\sqrt{265}=16.28[/tex]
Solve the equation
(1/2)-sinx=1
Answer: #2. sin x (sin x + 1) = 0
sin x = 0 or sin x + 1 = 0
sin x = 0 or sin x = -1
Step-by-step explanation:
the value of x will be x = 210° and 330° for the given expression (1/2)-sinx=1.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given a equation (1/2)- sin x = 1
Simplifying the given expression
=> (1/2)- sin x = 1
subtract 1/2 on both sides
=> -sin x = 1/2
=> sin x = -1/2
=> x = 210° and 330°
For all x = 0 to 360°
Learn more about expression here:
https://brainly.com/question/14083225
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A line contains the points -1 , -4 and -6,11 what is the slope of a line that is parallel to this line
Answer: 3 I think !
Step-by-step explanation:
a) Calculate the magnitude of the angle a in the diagram above.
b) Find the length of OT
Answer:
angle a = 53.13 degrees and OT = 5cm
Step-by-step explanation:
Tan A = 4/3
A = 53.13
What are the angle measures of 1 and 2
Simplify the following expression using the distributive property: -8(2x - 5)
(a) 16x - 10
(C) - 16x +40
(b) - 6x - 13
(d) - 6x
I
Answers? :(
Answer:
(B)-16+40
Step-by-step explanation: -8(2x-5)
-8*2=-16
-8*-5=40(positive because a negative multiplied by a negative is postive)
add the x to the answers...Then its -16x+40
Hope This Helps:)