Given that,
A food truck is selling 2 burritos for $5.
Solution,
We need to find the relationship between burritos and dollars.
2 burritos = $5
To find the value of 1 burrito. Divide 5 by 2 as follows :
[tex]1\ \text{burrito}=$\dfrac{5}{2}\\\\1\ \text{burrito}=$2.5[/tex]
Hence, the relation between burritos and dollars is " [tex]1\ \text{burrito}=$2.5[/tex]"
Simplify. Use the distributive
property and combining like terms to
simplify each expression.
7. 5x + 2(x – 3),
Answer:
7x - 6
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
5x + 2(x - 3)
Step 2: Simplify
Distribute 2: 5x + 2x - 6Combine like terms: 7x - 6Combining like terms is a process where you combine the terms with the same variable and/or exponent.
Let's say that we have an expression 3p + 3q. We can't combine the like terms, because 3p and 3q have different variables.
Now, what is the distributive property?
The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" the monomial. The distributive property has a formula, which is:
[tex]\sf{a(b+c)=ab+ac}[/tex]
Here, a got multiplied by b and c.
Similarly, we combine the terms:
[tex]\sf{5x+2(x-3)}[/tex]
Simplify:
[tex]\sf{5x+2x-6}[/tex]
Combine like terms:
[tex]\sf{7x-6}[/tex]
Hence, the simplified answer is 7x - 6.
*BRAINIEST & 20 POINTS*
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Answer:
x = 21
y = 114
Step-by-step explanation:
Here, we are to find the values of x and y
Mathematically;
3x - 15 + 6x + 6 = 180
reason for this is that opposite interior angles are supplementary, they add up to 180
9x-9 = 180
9x = 180 + 9
9x = 189
x = 189/9
x = 21
Also;
3x-15 + y + 18 = 180
Reason for this is that angles on a straight line are supplementary
Recall, x = 21
3(21)-15 + y + 18 = 180
63-15 + y + 18 = 180
y = 180-66
y = 114 degrees
A linear function contains the following points. What are the slope and yintercept of this function? O A. O B. O C. O D. 25 The slope is 4. The yintercept is (5, O). The slope is —4. The yintercept is (O, 5). 1 The slope is Tthe yintercept is (O, 5). 1 The slope is . The yintercept is (O, 5).
Answer:
D
Step-by-step explanation:
points (-4,4) and (0,5)
slope: (y2-y1)/(x2-x1)
(5-4)/(0+4) = 1/4
y intercept given: (0,5)
What is a equation of a line perpendicular to -x+2=y that intersects the line at (-1.5,3.5)
Answer:
y= x + 5
Step-by-step explanation:
i took the test
What is the value of the expression below when z=3 and w =2
10z+ 5w
write an equation of the line that passes through the given points. (3, 1), (0, 10)
Answer:
y = -3x + 10
Step-by-step explanation:
The image below shows proof that the equation y = -3x + 10 is the line that passes through the points (3, 1) and (0, 10).
Hope this helps! :)
Step-by-step explanation:
Make a graph and mark the points take the first number of each point and multiply them and your answer is three x.
Hey honey text me back please?
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 474 inches?
(y - 4) (5y + 6) = 0
Find the solutions
Answer:
Y=4,-5/6
Step-by-step explanation:
Answer:
1. y=4
2. y= -6/5
Step-by-step explanation:
Two trains have to travel 300 miles. Train A travels at 50 mph and train B travels at 60 mph. However, Train B leaves 1 hour later. When will the two trains meet?
Answer:
7 hours
Step-by-step explanation:
They won’t nessciarly pass each other while on the tracks becuase Train B is gonna be done with 300 miles so its at the station, it takes 6 hours for the A to reach that station but train B left an hour earlier so that adds another hour
So 7 hours until the two trains meet
Answer:
At the end of the travilling distance and they will take 6 hours
Step-by-step explanation:
After one hour train A is 50mph far but train B is 0 mph. In 2 hours train A is 100 mph and train B is 60 mph. In 3 hours the distance between them is 30 mph. In 4 hours the distance between them will decrease to 20 mph. In 5 hours will be 10 mph the distance between them. So you can see both trains will meet each other at the end of travilling distance so they will arrived at the same time
Convert 5,928 milliliters into liters.
Answer:
5.928 liters
Step-by-step explanation:
about 6 liters
Answer:
5.928
Step-by-step explanation:
1,000 Milliliters = 1 Liter
5,928/1,000 = 5.928
5.928 Liters
Which statement about 272° is correct?
A. tan 272° < 0
B. sin 272° > 0
C. cos 272° < 0
Answer:
tan 272 < 0 is the correct answer
Step-by-step explanation:
Firstly, we need to understand the quadrant in which we have the angle
Mathematically, angle 272 is on the 4th quadrant
On the 4th quadrant, only the cosine value is positive, sine and tangent values are negative
Hence, we have that tan 272 < 0
is the correct answer
Answer: A. tan 272° < 0
Step-by-step explanation:
Ap3x Approved
Write a logarithmic function that represents the following transformations applied to the parent function: Reflection over the y-axis, a vertical stretch by a factor of (5/3) a transformation right 2 units, and a transformation down 6 units.
Answer:
Original function;
y = logbX
Transformation;
y = -5/3logb(x + 2) - 6
Step-by-step explanation:
General form of a logarithmic function is given below;
y = logb X (log to base b)
Reflection over the y-axis
y value remains same, x becomes negative
y = - logb X
Vertical stretch by a factor of 5/3
This means that we multiply the whole function by 5/3
That will be;
y = -5/3logbX
Transformation right 2 units
This means that we add the value of 2 to the x-axis value
y = -5/3logb(x + 2)
transformation down 6 units
This means that we subtract 6 from the total y value
y = -5/3logb(x + 2) - 6
f(x)=5x−3 evaluate the function
what is the answer to 7x8(8/2)
Answer:
224
Step-by-step explanation:
1. first divide 8/2 in the parentheses which will give you 4
2. Then multiply 4 to 8 which will give you 32
3. finally multiply 32 to 7 which will give you an answer of 224
What is the area???????
Answer: 56mm
Step-by-step explanation:
A=(a+b)/2 x h
A=(4+12)/2 x 7
A=16/2 x 7
A=8 x 7
A= 56mm
Write down the number of lines of symmetry of this hexagon
Answer:
a) 1
b) 5
c) isosceles
Step-by-step explanation:
a) 1
b) 5
c) isosceles
Thank you
Plz help me plzzzz!!!!
Answer:
Definition of equilateral triangle
Step-by-step explanation:
All sides of equilateral triangles are equal.
The gravitational ratio of the moon and the earth is 1:6 .If the weight of an object is 90N in the earth then find the weight of that object in the moon
Answer:
the weight of that object on earth is 90N
then on moon it will be 90/6 = 15N
Multiplying in any order results in the same product is called
the
Property. *
Distributive
Associative
Commutative
O Additive Inverse
Answer:
C) commutative
Step-by-step explanation:
Example: a x b = b x a
a reindeer leaves the north pole flying east at 20mph. Another reindeer leaves the north pole at the same time flying west at 15mph. How long will it take them to be 700miles apart?
Answer: well if they leave at the same time and one leaves 5mph faster than the other then...
Step-by-step explanation: ... it will take 15 hours for them to be 700 miles apart
Describe and correct the error made in finding BC in the diagram
Answer:
AC is not equal to BC
AB=BC
Katherine has a $10 gift certificate
for an online store. She chose a pair
of shoes that cost $32.78, and a
dress that cost $27.24. Shipping is
$5.22. If she uses her gift certificate,
what amount will she need to pay?
Answer:
Katherine will pay $55.24.
Step-by-step explanation:
32.78 + 27.24 + 5.22
= 65.24
65.24 - 10
= 55.24
Katherine will pay $55.24.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
solve for x. x2-3[x-2]-4x=
Find the slope and the y-intercept of the graph of y=4x−5.
Hi!
The equation we're working with is in slope-intercept form:
[tex]\diamondsuit~\boldsymbol{y=mx+b}[/tex]
Where:
[tex]\diamondsuit[/tex] [tex]\boldsymbol{m- > slope}[/tex]
[tex]\diamondsuit~\boldsymbol{b- > y-intercept}[/tex]
Therefore,
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:4}\\\bold{-5}\end{cases}}}}[/tex]
Cheers!I hope that helped, have a wonderful rest of your day! :)
The slope of the line is 4 and the y-intercept of the line is -5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given equation of the line is y = 4x - 5. Compare the equation with the general form of the equation,
y = mx + c
y = 4x - 5
Slope m = 4
Y-intercept = -5
Therefore, the slope of the line is 4 and the y-intercept of the line is -5.
To know more about an equation of the line follow
https://brainly.com/question/18831322
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Help me please I’d really appreciate it right now .
Answer:
sales tax is $0.6
total cost is $20.60
Step-by-step explanation:
20*0.03=0.6
20*1.03=20.6
What is the sum of the interior angles of a 14 sided polygon?
Answer:
2160 degrees
Step-by-step explanation:
The general equation to find the sum of interior angles in a polygon is;
[tex](n - 2) * 180[/tex]
Where "n" is the sides of the polygon.
Substitute in 14 for "n"
( 14 - 2 ) * 180
Solve;
( 14 - 2 ) * 180
12 * 180
2160
PLEASE HELP FOR ALGEBRA TEST write an equation that contains the coordinates (0,-1) and (3,7)
Answer:
The answer is y=8/3x-1
Step-by-step explanation:
7-(-1)/3-0
=8/3
y-y=m(x-x¹)
y-7=8/3(x-3)
y-7=8/3x-8
+7 +7
y=8/3x-1
find the missing side length
Answer:
The length of the missing side is
[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]
Step-by-step explanation:
You could do Pythagorean theorem which is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8
Complete Question:
The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
Answer:
[tex]y = \frac{1}{3}x[/tex]
Step-by-step explanation:
From the question, we understand that the line goes through [tex](2, 4), (3, 1), and\ (4, -2).[/tex]
First, we calculate the slope of the above points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (2,4)[/tex]
[tex](x_2,y_2) = (3,1)[/tex]
[tex]m = \frac{1 - 4}{3 - 2}[/tex]
[tex]m = \frac{-3}{1}[/tex]
[tex]m = -3[/tex]
Also; from the question, we understand that the line segment is perpendicular to the above points.
This slope (m2) of the line segment is calculated as:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute -3 for m
[tex]m_2 = -\frac{1}{-3}[/tex]
[tex]m_2 = \frac{1}{3}[/tex]
Lastly, we calculate the equation of the line using:
[tex]y - y_1 = m_2(x - x_1)[/tex]
The line segment has a midpoint at (3, 1)
So:
[tex]y - 1 = \frac{1}{3}(x - 3)[/tex]
Open bracket
[tex]y - 1 = \frac{1}{3}x - 1[/tex]
Add 1 to both sides
[tex]y - 1 +1= \frac{1}{3}x - 1+1[/tex]
[tex]y = \frac{1}{3}x[/tex]
Hence, the equation of the line segment is: [tex]y = \frac{1}{3}x[/tex]
Answer:
A. y = One-thirdx
Step-by-step explanation:
2020 Edge
find the ratio of 5m to 11m in simple ways
Answer:
5m to 11m simplified to a ratio would be 5:11.
Step-by-step explanation:
To calculate ratios, try to think of them as fractions instead.
When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!
As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].
Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].
Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!
Hence, 5m to 11m simplified to a ratio would be 5:11!
Hope this helped!