A = Alex
B = Bart
C = Carl
B - C = 7
A + B + C = 42
C / 2 x 3 = A
System of equations could be used to determine the ages of all three brothers are :
x + y+ z = 42
x = 3+ 2z
y -z = 7
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, let suppose the ages of all the brothers Alex, Bart, and Carl be x,y, z respectively :
x = Alex
y = Bart
z = Carl
Then according too the question the :
The equation representing the sum of the ages of the three brothers is 42 is :
x + y+ z = 42
The equation representing Alex's age is 3 more than twice Carl's age is :
x = 3+ 2z
The equation representing the difference between Bart's and Carl's age is 7 years is :
y -z = 7
Therefore, system of equations could be used to determine the ages of all three brothers are
x + y+ z = 42
x = 3+ 2z
y -z = 7
Read more about equations at :
https://brainly.com/question/10413253
#SPJ2
у= 6x - 27
у= 4x - 17
Answer:
x=5 y=3
Step-by-step explanation:
6x-27=4x-17
2x=10
x=5
y=6(5)-27
y=30-27
y=3
y=4(5)-17
y=20-17
y=3
which expression is equivalent to 54.5-6?
Answer: 5-6•54
Hope this helps (:
Whoever remembers this and knows how to do dis answer correctly plz!!
It’s just simple (Grade5fractions)
(WILL MARK AS BRAINLIEST) promise!
:D
Answer:
1. 5/7 2. 8/9 3. 5/8
Step-by-step explanation:
They are all closer to one whole
Answer:
1. 5/7
2. 8/9
3. 5/8
I'm pretty sure this is correct
If Nicholas is located at (–3, 2), what is the distance to get to the grocery store?
A. 2
B. 3
C. 4
D. 5
Answer:
it would be D 5 hope this helps :)
Step-by-step explanation:
Anthony writes a numerical expression 2+10x3-2 and says that the expression has a value of 34. Is Anthony correct? Explain your answer.
Answer:
he is incorrect
Step-by-step explanation:
He is incorrect because 10 times 3 is 30, plus-minus 2 which is 30. So instead of 34, it is 30. or you can say Anthony is wrong. Following the order of operations, you would do the 10*3 first. Then, you would take the 30, and finish the equation from left to right. So you would add 2 to make it 32 and then subtract 2 to make it 30 again. So your final answer is 30, not 34. So Anthony is wrong.
PLEASE HELP, DUE AT 12:00 am
Answer:
B
statement a is division property of equality
statement b is symmetry property of congruence
statement c is multiplication property of equality
Which of the following is not a function?
Answer:I think the first 1 tell me if I’m right
Step-by-step explanation:
which could be the side lengths of a right triangle?
Answer:
B
Step-by-step explanation:
90+45+45=180
All triangles equal 180.
Its B because if one angle is 90° then the other angles will equal each other. It cant be 60° and 30° because they dont equal, so your final answer is B.
Hope this Helps!!! :)
What is the domain of the relation?
Oa. {-1,0, 1, 3)
Oc. { -2,-1, 0, 1, 2, 3}
Ob.{-2, 0, 1,3}
Od. {0, 1, 2, 3}
Answer:
(03.01) The domain of a relation is the output (y) values of the relation the input (x) values of the relation a set of points that pair input values with output values x and y values written in the form (x, y)
{-2, -1, 0, 1, 2, 3} representing the domain of the relation.
What is a function?A relation is a function if it has only One y-value for each x-value.
To determine the domain of a relation, we need to identify all possible values for the input or independent variable.
In this case, without any further information, we can look for the set of numbers provided in the answer choices and determine which set includes all possible values for the input.
Looking at the given answer choices:
A. {-1, 0, 1, 3}
B. {-2, 0, 1, 3}
C. {-2, -1, 0, 1, 2, 3}
D. {0, 1, 2, 3}
Since there is no specific information or restrictions mentioned, the most inclusive set that covers all possible values for the input variable is {-2, -1, 0, 1, 2, 3}.
Therefore, {-2, -1, 0, 1, 2, 3}, representing the domain of the relation.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
Marietta was given a raise of $0.50 per hour, which gave her a new wage of $18.75 per
hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise.
Complete the explanation to show that your answer is reasonable.
The equation is
= 18.75.
Marietta's hourly wage before the raise was $
Marietta received a raise that was less than $1.00 per hour, so her new hourly wage should
be less than $ (select) + $1 = $19.25. Her new hourly wage of $18.75 is less than $19.25,
so the answer is reasonable.
Answer:
11.50
Step-by-step explanation:
The new wage is equal to the old wage plus her raise, so:
x + 0.75 = 12.25
or
x= 12.25-0.75
Meaning x is her original wage, being $11.50
(This is my first answer so let me know if I did anything wrong)
4.5 is how many times the value of 1.5?
Answer:
3 times
Step-by-step explanation:
1.5 times 3 equals 4.5
Please help!!! I need the correct answer. Thx!
Answer:
I think the answer is A if my math is wriye
Step-by-step explanation:
$3.50 per pound for potato salad OR 1.5 pounds of potato salad for $4.50
Answer:
1.5 pounds of potato salad for 4.50 would be cheaper
Step-by-step explanation:
because if you divide 3.50 by two you get 1.75 and added back to 3.50 you can purchase 1.5 pounds for 5.25 which is more expensive than 4.50
Maggie's brother is 4 years younger than twice her age. The sum of their ages is 17.
How old is Maggie?
Answer:
Maggie is 7 years old
Step-by-step explanation:
m+2m-4=17
3m-4=17
3m=21
m=7
Answer:
Maggie is seven years old
Step-by-step explanation:
Maggie's Brothers Age = B
Maggie's Age = M
2M - 4 = B
B + M = 17
Plug in 2M - 4 for B
( 2M - 4 ) + M = 17
Combine Like Terms
3M - 4 = 17
Add 4 to either side
3M = 21
Divide either side by 3
M = 7
Check your answer
2M - 4 = B -> 2 x 7 - 4 = B -> 14 -4 = B -> B = 10
B + M = 17 => 7 + 10 = 17 => 17 = 17
Walking at a speed of 3 mph, Jack gets to school in 10 minutes and arrives at school right before the class starts. Today Jack needs to be at school 4 minutes earlier. How fast does Jack need to run this morning?
Answer:
Jack needs to run at a speed of 1/12 mph
Step-by-step explanation:
Mathematically;
speed = distance/ time
Distance = speed * time
10 minutes = 10/60 h = 1/6 hours
The distance to the school will be
Distance = 3 * 1/6 = 1/2 = 0.5 miles
Now, he needs to be at school 4 minutes earlier, time will now be 10 - 4 = 6 minutes
To get the speed here;
Recall that the distance from above does not change
So speed = 0.5/6 mph 0r 1/12 mph
write 2 numbers that multiply to the value on top and add to the value on bottom.
Answer:
-11 and -5
Step-by-step explanation:
-11 x -5 = 55, and add to -16
Which best explains why this triangle is or is not a right triangle?
Answer:
B
Step-by-step explanation:
Help!!!!!!! i don’t get it !!!!!!!!!!
Answer:88*8y=6x
Step-by-step explanation:
Solve each equation algebraically. Show all work. #1, #4, and #6
Answer:
Step-by-step explanation:
what is the factor of x2+3x-18?
Step-by-step explanation:
[tex]x {}^{2} + 3x - 18 \\ = x {}^{2} + (6 - 3)x - 18 \\ = x {}^{2} + 6x - 3x - 18 \\ = x(x + 6) - 3(x + 6) \\ = (x + 6)(x - 3)[/tex]
Thank you ☺️☺️
write 9 x 9 x 9 x 9 x 9 x 9 x 9 using a positive exponent
Answer:
9 to the 7th power
Step-by-step explanation:
(3,-7) and (9,-5) slope
Answer:
1/3
Step-by-step explanation:
The basketball team sold pizzas for a fundraiser. They sold large pizzas for $15.00 and medium pizzas for $12.00. If the basketball team sold 96 pizza all together and made $1356, how many of each type of pizza did they sell?
Answer:
93 large, 3 medium
the first thing you gotta do is find the least amount of the smaller number that you can take away until it becomes a multiple of the largest number.
1356-12(1)
1344-12(2)
1332-12(3)
1320 12 factored into 1356 3 times before we reached a multiple of 15 so we subtract 3 from the total number of pizza sold and we have 93 large pizzas and 3 medium pizzas
disclaimer: as I am a human I might be wrong have a nice day
Write a proof for the conjecture using the contrapositive.
If 5x + 7 = -13, then x = -4.
The contrapositive of this statement would be: "If x does not equal -4, then 5x + 7 will not equal to -13."
what is contrapositive?The contrapositive is defined as the inverse and converse of a conditional statement.
X is equal to 4 we know this is because the sign in between the number means greater than or equal to so 3 x 4 equals 12 which makes the equation on right true and on the left x.
So, the contrapositive of this statement would be:
"If x does not equal -4, then 5x + 7 will not equal to -13."
Learn more about contrapositive ;
https://brainly.com/question/5306301
#SPJ2
I WILL GIVE BRAiNLIEST TO FIRST PERSON WHO ANSWERS
Answer: 6 and 5
Step-by-step explanation:
Answer:
I will give you brainliest if you give me. :)
Step-by-step explanation:
What is (n+8) + (n-12)
Answer:
n = 2
Step-by-step explanation:
Simplifying
(n + 8) + (n + -12) = 0
Reorder the terms:
(8 + n) + (n + -12) = 0
Remove parenthesis around (8 + n)
8 + n + (n + -12) = 0
Reorder the terms:
8 + n + (-12 + n) = 0
Remove parenthesis around (-12 + n)
8 + n + -12 + n = 0
Reorder the terms:
8 + -12 + n + n = 0
Combine like terms: 8 + -12 = -4
-4 + n + n = 0
Combine like terms: n + n = 2n
-4 + 2n = 0
Solving
-4 + 2n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2n = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 2n = 0 + 4
2n = 0 + 4
Combine like terms: 0 + 4 = 4
2n = 4
Divide each side by '2'.
n = 2
Simplifying
n = 2
M is the midpoint of LN. If LM = 3x and MN = x + 8, what is MN?
Answer:
12
Step-by-step explanation:
Since M is a midpoint of LN, we can see 3x equal to x+8. Remove 1 x to get 2x=8. Solve for x to get x=4. Note that this is not the end to your problem. They asked for the length of MN, not the value of x. Plugging x into MN give you 4+8, which is 12.
(If you need to show work, here it is)
3x=x+8
2x=8
x=4
MN=x+8
MN=4+8
MN=12
adding rational numbers:
after swimming 60 feet below the surface of the water, a whale swims up 30 feet. use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.
ANSWER:
A. The equation is -60 + 30 = 30. The whale is 30 feet below the waters surface.
B. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.
C. The equation is -60 + 30 = -90. The whale is 90 feet below the waters surface
D. The equation is -60 + (-30) = -30. The whale is 30 feet below the waters surface.
Answer:
First, in standard notation, we must define our zero.
In this case, would make sense to define the zero in the surface of the water.
(below is a number line so you can see the process to think this)
Then if the whale is swimming 60ft bellow the surface of the water, then the first position of the whale is:
-60
Now the whale goes up 30ft, then the new position of the whale is:
-60ft + 30ft = -30ft.
The correct option is A:
The equation is -60 + 30 = -30. The whale is 30 feet below the water's surface.
(you wrote that the equation was equal to +30 instead of -30 in the option A, i supposed that it was a typo)
Answer:
I belive the answer is A.
Step-by-step explanation:
A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t seconds after it is launched. After how many seconds will the projectile land back on the ground?
The projectile will land after ______ seconds
Answer:
t = 4 seconds
Step-by-step explanation:
The height of the projectile after it is launched is given by the function :
[tex]h(t)=-16t^2+32t+128[/tex]
t is time in seconds
We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0
So,
[tex]-16t^2+32t+128=0[/tex]
The above is a quadratic equation. It can be solved by the formula as follows :
[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = -16, b = 32 and c = 128
[tex]t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s[/tex]
Neglecting negative value, the projectile will land after 4 seconds.
Of 56 dogs, 34 have spots, 23 have blue eyes, and 11 have neither. How many have both blue eyes and spots?