Answer:
no. of consecutive integers--- X, X+1, X+2.
there sum is 60
X+X+1+X+2=60
3X+3=60
X+1=20
X=19
integers are=19, 20, 21
Find the measure of the indicated angle
Answer:
36°
Step-by-step explanation:
(6x)° + 54° = 90°
(complementary angles)
(6x)° = 90°- 54°
(6x)° = 36°
Alto and Brian both ordered the same size pizzas and Marco's Pizza;
however, they ordered different toppings. Marco's charges an additional
fee for toppings, but all toppings cost the same. Alto got pepperoni,
banana peppers, and black olives on his pizza for a cost of $15.74. Brian
order mushrooms and eggplant of his pizza and paid $14.49. Using this
information, write an equation for the cost of a pizza, C, as a function of
the toppings, t, ordered. *Hint: slope intercept form and you will need the
slope formula
Answer:
Cost of pizza = 1.25x + 11.99
Step-by-step explanation:
Since Toppings cost the same and the pizza orders are of same size :
Alto ordered for 3 Toppings + pizza = 15.74
Brian ordered for 2 toppings + pizza = 14.49
Hence the cost per topping and pizza could be found :
Cost per topping :
15.74 - 14.49 = 1.25
Hence, slope = 1.25
The intercept, c represents the cost of pizza alone :
Cost of pizza + 2 Toppings = 14.49
Cost per topping = 1.25
Cost of pizza = 14.49 - 2(1.25)
Cost of pizza = 14.49 - 2.50 = 11.99
Expressing in slope - intercept form :
y = mx + c
m = slope ; c = intercept
Cost of pizza = 1.25x + 11.99
Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.
Someone help please!!
Answer: (x, y, z) = (-3, 2, 4)
In other words, x = -3, y = 2 and z = 4.
You'll enter the number only into each box.
===============================================================
Explanation:
There are a few routes we can take to solve this. I'll use substitution.
First let's isolate y in the second equation.
2x - y + 3z = 4
2x + 3z = 4+y
4+y = 2x+3z
y = 2x+3z-4
This is then plugged into the first equation
3x+2y+4z = 11
3x+2( y )+4z = 11
3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4
3x+4x+6z-8+4z =11
7x+10z-8 = 11
7x+10z = 11+8
7x+10z = 19 .... we'll call this equation (4) and come back to this later
--------------------------------------
Move onto the third equation (of the original equations given)
Plug in y = 2x+3z-4
5x - 3y + 5z = -1
5x - 3( y ) + 5z = -1
5x - 3( 2x+3z-4 ) + 5z = -1
5x - 6x - 9z + 12 + 5z = -1
-x - 4z + 12 = -1
-x - 4z = -1-12
-x - 4z = -13 ..... let's call this equation (5)
--------------------------------------
To recap, we found equation (4) and equation (5) to be
7x+10z = 19-x - 4z = -13We can then solve for x in equation (5) like so
-x - 4z = -13
-x = -13 + 4z
-x = 4z - 13
x = -(4z - 13)
x = -4z + 13
This is then plugged into equation (4)
7x+10z = 19
7(-4z+13)+10z = 19 .... note how we now have one variable
-28z+91+10z = 19
-18z+91 = 19
-18z = 19-91
-18z = -72
z = -72/(-18)
z = 4
We can use this value of z to find x
x = -4z+13
x = -4(4)+13
x = -16+13
x = -3
Use the values of x and z to find y. We'll revisit the first equation in which we isolated y
y = 2x+3z-4
y = 2(-3)+3(4)-4
y = -6+12-4
y = 6-4
y = 2
So overall, the solution to this system is (x, y, z) = (-3, 2, 4)
-------------------------------
Checking the answer:
We'll replace x,y,z with the values we found.
In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4) turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.
Hello im in 8th grade and I need to get my grades up so anyone know the answer to
-12 minus 12x = 36
work also needs to be shown if possible thank you
Answer:
x = 3
Step-by-step explanation:
12x = 36
simply 12 will go to the other side and switches to the opposite sign for example + will be -
× will br ÷
so 36 ÷ 12 =3
x = 3
Write down the inequality described by five is greater than the result of taking six away from x", and solve for x.
Answer:
x < 11
Step-by-step explanation:
Taking the problem piece by piece;
five is greater than
5 >
the result of taking six away from x
x - 6
Solve for x;
5 > x - 6
5 + 6 > x
11 > x
x < 11
three decimal numbers that when rounded to the nearest hundredths place will round to the number 6.75.
Answer:
6.7491, 6.7524, 6.7463
Step-by-step explanation:
Pls send quotes about no giving up
Which equation has the same solution as x^2+10x+9 = 4
Which is not a reactant needed for producing food in a green plant?
A. Carbon Dioxide
B. Oxygen
C. Water
Answer:
B. Oxygen
Hope you got your answer! ☺️
The reactant not needed for producing food in a green plant is
Oxygen.
Option B is the correct answer.
What are reactants?Reactants are the elements in a process of production that helps in the process of production.
We have,
The process of producing food in a green plant are:
Plants take carbon dioxide, water, and sunlight from their surroundings to make their own food.
This process is called photosynthesis.
Oxygen is the waste product released during this process.
Thus,
Oxygen is not a reactant needed for producing food in a green plant.
Learn more about reactants in plants here:
https://brainly.com/question/16419464
#SPJ6
6 and -6 are at the same distance from ____ on the number line.
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
(NegativeA) + (PositiveA) = 0
Note for future reference:
(NegativeA) + (PositiveB) = (NegativeC)
(PositiveA) + (NegativeB) = (NegativeC)
(NegativeA) + (NegativeB) = (NegativeC)
(PositiveA) + (PositiveB) = (PositiveC)
Hope this helps!
Find the Surface Area of the following figure:
16 ft
10 ft
7 ft
Answer:
1120
Step-by-step explanation:
ASAP PLASE HELP AND SHOW WORK
Each choice below describes the lengths of the sides of a triangle. Select all the triangles that must be right triangles.
Triangle a- √3,√4,√5
Triangle b- 3,4,5
triangle c- 2,4,6
Triangle d- √2,√4√6
Answer:
triangle b and triangle d
Step-by-step explanation:
3^2+4^2=5^2
2+4=6
Answer:
Triangle b- 3,4,5
5²=3²+4²
Triangle d- √2,√4√6
(√6)²=(√2)²+(√4)²
If 12x – 20 =
10x + 20 what is the value of 3x ?
Answer: 3x=60
Step-by-step explanation:
12x-20=10x+20
X=20
3(20)= 60
solve using inverse operations:83 + q = 125; q=
Answer:
42
Step-by-step explanation:
subtract 83 from both sides geet q=42
PLEASE ANSWER THIS QUICKLY WITH PLOT POINTS!! ILL GIVE BRAINLIEST!
y=-8 y=-2-12
Answer:
For the first one your first point is going to be on (0, -8) and will be a continuous horizontal line.
For the second equation the first point will be on (0, -12)
you want to go down two points and go to the right once point so (1, -14), (2,-16), (3,-18)
you also want to go up two points and to the left once so (-1, -10), (-2, -8), (-3, -6) and so on
Find the positive value of x that makes the following equation true?
x^2 − 1 4 = 5x + 67 − 5x
Answer:
x=9
Step-by-step explanation:
x^2 = 5x + 81 -5x.
x^2 = 81
x=9
pls help ......................
Answer:
the answer will be
50
Step-by-step explanation:
5 x 10= 50
Select all of the attributes of the right rectangular prism.
Answer:
Opposite faces are parallel
There are 6 faces
All faces meet at 90 degrees.
Step-by-step explanation:
I think
HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2
Answer:
Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.
I can not Put Out The Points So Im sorry.
Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10
Triangular prism please help
Answer:
C
Step-by-step explanation:
Solve the equation: 12(x + 8) = 11x - 5 What is the solution?
Answer:
We conclude that the solution is:
[tex]x = -101[/tex]Step-by-step explanation:
Given the equation
[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]
Expand 12(x + 8): 12x + 96
[tex]12x+96=11x-5[/tex]
Subtract 96 from both sides
[tex]12x+96-96=11x-5-96[/tex]
Simplify
[tex]12x=11x-101[/tex]
Subtract 11x from both sides
[tex]12x-11x=11x-101-11x[/tex]
Simplify
[tex]x=-101[/tex]
Therefore, we conclude that the solution is:
[tex]x = -101[/tex]Alina can blow 48 balloons in 16 minutes. What is the unit rate of blowing per minute?
Answer:
3 balloon
Step-by-step explanation:
48 divide by 16
Please help! I need an explanation also because I am currently having trouble
Answer:
E = 80 degrees
Step-by-step explanation:
7x + 3 + x + 15 + 74degrees = 180
8x + 92 = 180
8x = 180 - 92
8x = 88
x=11
m<E = 7x + 3
7(11) + 3
77 + 3
= 80
if m<1=53° what is m<3
Answer:
its 159
Step-by-step explanation:
(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT
Answer:
HN congruent to NL
Step-by-step explanation:
They have a line crossing both of them, signifiying congruence.
1. How many groups of days are in 1 week?
Write a division equation to represent the question.
Type your equations in the box below.
Answer:
(14 groups)
14 divided by 7 = 2
Therefore 14 is your answer
Step-by-step explanation:
lol that's all I got
Draw graph of straight lines to find approximate solution to these simultaneous equations . y = 3x + 7 and 2y + x = 2
Answer:
(-1.714, 1.857)
Step-by-step explanation:
Here, we want to find the approximate solution to the system of linear equations
We start by plotting the graph of the lines
We have the plot as shown below;
the red line represents the first equation while the blue line represents the second equation
We have the solution as the point at which the two lines meet
The solution to this is;
(-1.714, 1.857)
PLZ PLZ PLZ ANSWER THIS!!!!
Answer:
a.
Step-by-step explanation:
girls 60/50
boys 40/50
40/50 is 10
X, Y and Z are partners in a firm in the ratio of 1/2 :1/3:1/6
Y retires from business and
X and Z purchase his share of profit in the ratio of 3:2. Find out new ratio
Answer:
6:2
Step-by-step explanation:
X share from old ratio is 1/2
Y share from old ratio is 1/3
Z share from old ratio is 1/6
Now, we are told Y retires and that X and Z purchase his shares.
Thus;
Amount X took from Y = 1/2 × 1/3 = 1/6
Amount Z took from Y = 1/6 × 1/3 = 1/18
Thus, new share of X is now; 1/6 + 1/2 = 2/3
New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9
Ratio is now X:Z = 2/3 : 2/9 = 6:2