Answer:
2230
Step-by-step explanation:
subtract 48 from 2212 which will be 2164 and then add 66 to 2164 and then you get 2230
Answer:
[tex]\huge\boxed{2329 \ \text{pounds}}[/tex]
Step-by-step explanation:
In order to solve this equation, let's see what we already know.
We know two points on the graph which we can use to find the slopeThat's about it.
However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as [tex]\frac{\Delta y}{\Delta x}[/tex] (change in y / change in x). Our two points are (18, 2017) and (48, 2212).
The change in y between our two points is [tex]2212-2017 = 195[/tex], and the change in x is [tex]48 - 18 = 30[/tex]. Our slope will then be [tex]\frac{195}{30}[/tex], which comes out to be approximately 6.5. Therefore, our slope is 6.5.
Now that we know the slope, we can substitute inside our equation in slope intercept form.
[tex]y = 6.5x+b[/tex]
We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.
[tex]2017 = 6.5 \cdot18 + b[/tex] [tex]2017 = 117 + b[/tex] [tex]1900= b[/tex]Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.
[tex]y=6.5x+1900[/tex]
Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.
[tex]y = 6.5 \cdot66+ 1900[/tex] [tex]y = 429+1900[/tex] [tex]y=2329[/tex]So the plane weighed 2329 pounds with 66 gallons of fuel.
Hope this helped!
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Answer:
[tex]\displaystyle y=-\frac{2}{3}x+3[/tex]
Step-by-step explanation:
We want to find the equation of the line that is parallel to:
[tex]\displaystyle y=-\frac{2}{3}x[/tex]
And passes through (-3,5).
First, we need to determine the slope of our new line.
Remember that parallel lines have the same slope.
Since the slope of our original line is -2/3, this means that the slope of our new line must also be -2/3.
Now, we can use the point-slope form given by:
[tex]y-y_1=m(x-x_1)[/tex]
We will let (-3, 5) be (x₁, y₁). By substitution:
[tex]\displaystyle y-(5)=-\frac{2}{3}(x-(-3))[/tex]
Simplify:
[tex]\displaystyle y-5=-\frac{2}{3}(x+3)[/tex]
Distribute:
[tex]\displaystyle y-5=-\frac{2}{3}x-2[/tex]
Add 5 to both sides. So, our equation is:
[tex]\displaystyle y=-\frac{2}{3}x+3[/tex]
Answer:
[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]
Step-by-step explanation:
5 = –⅔[–3] + b
2
[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.
I am joyous to assist you at any time.
help me with this pls
Answer:
9, -8, 15
Step-by-step explanation:
Equation 1
[tex]5(x+7)-3(x-4)=7x+2 \\ \\ 5x+35-3x+12=7x+2 \\ \\ 2x+47=7x+2 \\ \\ 47=5x+2 \\ \\ 45=5x \\ \\ x=9[/tex]
Equation 2
[tex]4(3x+5)-3=9x-7 \\ \\ 12x+20-3=9x-7 \\ \\ 12x+17=9x-7 \\ \\ 3x+17=-7 \\ \\ 3x=-24 \\ \\ x=-8[/tex]
Equation 3
[tex]\frac{1}{3}(5x-9)=2\left(\frac{1}{3}x+6 \right) \\ \\ 5x-9=2(x+18) \\ \\ 5x-9=2x+36 \\ \\ 3x-9=36 \\ \\ 3x=45 \\ \\ x=15[/tex]
Below, explain why we are allowed the
"substitute in" x - 3 for y in the top equation.
Why is this useful for finding our first solution?
x + y = 11
y = x - 3
Answer:
because in the bottom eqution it shows us x-3=y therefor we could re-write the top equation as x+x-3=11
Somebody help me w this!!!
Answer:
1/4 !
Step-by-step explanation:
what is 82/84 - 3/12
Answer:
61/84
Step-by-step explanation:
i just finished doing that problem
Answer: 61/84
Step-by-step explanation:
82
84
−
3
12
=
82
84
+
−3
12
=
41
42
+
−1
4
=
82
84
+
−21
84
=
82+−21
84
=
61
84
Help find the missing angles?
Step-by-step explanation:
a=90
e=45
f=45
plzzzz mark me brainliest if it helps you then
To show -1 + (-6) on the number line, which directions would you move? *
5 points
right one unit, then left 6 units
Answer:
you would move left once, then left again 6 times. so 7 times to the left.
Step-by-step explanation:
You're moving left because you're working with negative numbers, so -1 would be the first step, and then just move 6 times more to the left. When you work with positives you do the same but to the right.
You will have to move left by 6 units.
What is equation modelling? What is a mathematical equation and expression?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.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is a number line.
The given expression is -
-1 + (-6)
on solving, we get -
- 1 - 6
- 7
You will have to move left by 6 units.
Therefore, you will have to move left by 6 units.
To solve more questions on equations, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
PLEASEE answer correctly !!!!!!!!!!!!!! Show your workkkkk !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Which equation represents the circle shown on the graph below.
a. x2 + (y - 3)2 = 4
b. x2 + y + 3)2 = 4
c. x2 + (y - 3)2 = 16
d. x2 + y + 3)2 = 16
Answer:
C
Step-by-step explanation:
Edge2021
Help please!!!!!! :(
Answer:
2). 2
3). 5
4). 3
5). 6
Step-by-step explanation:
What is/ are the constant(s) in this expression?
3a + 6y + 18ay + 9 - 10
3a and 6y
9 and -10
- 9 and 10
9 and 10
Answer:
9 and -10 are constant
Step-by-step explanation:
constant means it shouldnt have any variable attached to it
Answer:
3,6,18,9,10
Step-by-step explanation:
numbers
Which of the following equations have no solutions?
Choose all answers that apply:
A
33. 33 = 331 – 25
B
33.: + 33 = 33. - 25
33.25 = 33r - 25
332 + 25 = 33r - 25
Which is no solution
Answer:
A, B & D
Step-by-step explanation:
Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.
33x-33= 33x + 25
33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.
33x+33=33x+25
33x+8= 33x nope no solution
33x+25=33x+25
33x = 33x both sides identical so there is a solution
33x-25 = 33x +25
33x= 33x+50
Find the corresponding angles, alternate interior angles, and alternate exterior angles .
Answer:
94
Step By Step Explanation:
6X8=48
5X7=35
1X3=3
2X4=8
48+35+3+8= 94
48+35=83
3+8=11
83+11=94
94
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
A football player kicks a ball with a mass of 0.5 kg. The average acceleration of the football was 15 m/s^2. How much force did the kicker apply to the football?
Question 2 options:
15.5 N
7.5 N
30 N
14.5 N
Answer:
7.5N
Step-by-step explanation:
The equation for force:
F = m * a
where F is force, m is mass, and a is acceleration
F = .5 kg * 15 m/s² = 7.5 N
Is a = 9 a solution to the inequality below?
8
yes or no
Need help ASAP. Please answer quick
Answer:
Energy used, input
Monthly bill, output
Step-by-step explanation:
the bill is affected by how much energy u use
HOPE THIS HELPS!
Brainliest?
Which triangles legs do not belong with the other three? Explain ur reasoning
Answer:
The second one.
Step-by-step explanation:
It's not a right triangle.
Answer:
The second triangle
Step-by-step explanation:
The reason is that is doesn't have a 90 degree angle
All the other triangles are right angled triangle except for the second one
I will mark brainliest for the best answer!!!! Please show FULL SOLUTIONS. THANK YOU.
Question: Determine The Value Of X.
9514 1404 393
Answer:
x = 78
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so the sum of angles is ...
x° +x° +24° = 180°
2x +24 = 180 . . . . . collect terms
x + 12 = 90 . . . . . . . divide by 2
x = 90 -12 . . . . . . . . subtract 12
x = 78
_____
Additional comment
The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.
Please help this is due today!
Graph the solution of 1/4x≤2
Answer:
There isnt even a graph shown to graph on.
Answer:
attached
Step-by-step explanation:
1/4x ≤ 2 same as
x ≤ 8
Number line and 2 dimension graphs
If a = -3, find the value of 3a²
Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.
Domain
Range
-3
6
5
3
-2.
1
Which number is a factor of 10, but not a multiple of 2
Answer:
Five is as 2 x5=10, but it doest come in the table of 2
Step-by-step explanation:
(I’ll give brainilest) help asap
Answer:
option c: y=9x+0.5
that's the answer!
A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
which rational number could be graphed between -4 and -5 a. -5 .5 b. -4.25 c. 4/5 d.4.5
Answer
C
Step-by-step explanation:
HELP ASAP
The function f(n) = 3n + 19 represents an arithmetic sequence. What is
the 32nd term of the sequence? *
Step-by-step explanation:
f(n) = 3n + 19
When n = 32, f(32) = 3(32) + 19 = 96 + 19 = 115.
The 32nd term of the AP is 115.
simplify 27+2(6+x)
1. 35+x^2
2.39+2x
3.27+12x
4.29+8x
Answer:
39 + 2x
Step-by-step explanation:
Find the output, y, when the input,x, is 6.
y=
Answer:
y = 8
General Formulas and Concepts:
Algebra I
Reading a Cartesian PlaneCoordinatesFunctionsStep-by-step explanation:
What the question is asking is for the y-value when the x-value is equal. According to the graph, when x = 6, y = 8. Therefore, y = 8.
Answer:
8
Step-by-step explanation:
I got it correct and it is on khan :) I can prove it :D
When
you add 6 to the product of a number and 10, the result is 36. What is the number?
Answer:3
Step-by-step explanation:
10x+ 6= 36 Subtract six from each side then divide by ten leaves you with three
Answer:
20
Step-by-step explanation:
6+(n+10)=36
n=20
6+(20+10)=36
36=36
i need help!! i just need the equation that’s all, i’ll give brainliest
Answer:
(x²-16x)
Step-by-step explanation:
thats all just multiply then