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.
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
What are the angle measures of 1 and 2
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
2. — (xy + 1)2 - 2
Evaluate the expression
Answer:
-2xy-4
Step-by-step explanation:
Hope this helps. Plz give brainliest
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
FRESHMEN MATH PLEASE HELP
Answer:
ok
Step-by-step explanation:
Please answer I will mark you as brainlist PLEASEEE ANSWER
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:
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]
Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 2x - 6.
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:)
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
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Please answer these... please
Answer:
1) y=1/8x+2
2) y=1/35x+100
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:
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
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...
Determine the value of e. image attached.
Answer:
answer: b. 16
Step-by-step explanation:
8*4=32
32*0.5=
16
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
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.
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
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
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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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
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:
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
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
23.749 in expanded form using fractions
Answer:
23749/1000
Step-by-step explanation:
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?
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