A gas station sells regular gas for $2.30 per gallon and premium gas for $3.00 a gallon. at the end of a business day 250 gallons of gas had been sold, and receipts totaled $631. how many gallons of each type of gas had been sold?
Help plz
What is the approximate distance between points A and B?
A 3.61
B 9.22
C 10.35
D 12.62
Answer:
B 9.22
Step-by-step explanation:
Hello
to find the distance, you can use the distance between two points equation
Given
[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})\\\\the\ distance(d)\\\\D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\[/tex]
Step 1
define
[tex]P1=A=(4,3)\\P2=B=(-2,-4)\\[/tex]
Step 2
put the values into the equation
[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\D=\sqrt{(-2-4)^{2} +(-4-3)^{2} }\\ D=\sqrt{(-6)^{2}+(-7)^{2} }\\ D=\sqrt{36+49} \\D=\sqrt{85} \\D=9.22[/tex]
the distance between the points is 9.22 ⇒B
Have a great day
the answer you are looking for is....
B 9.22What is the equation in point-slope form for the line parallel to y = -2x + 10 that contains J(6, 8)?
a. y - 8 = -2(x - 6)
b. x - 8 = 2(y - 6)
c. y - 8 = 2(x - 6)
d. y + 8 = -2(x - 6)
Answer: Hello mate!
A linear equation has the form y = ax + b
where x is the variable, a is the slope and b is the x-intercept.
We want to find the pararel line to y = -2x + 10
A paralel line of this, will be another line with the same slope ( -2 in this case) and a different x-intercept; then our line has the shape of:
y = -2x + b
and we know that this line pases through the point (6,8), and with this info we could find the value of b:
8 = -2*6 + b
b = 8 + 12 = 20
then y = -2x + 20 is the pararel line that passes through the point (6.8)
Then the correct answer is the option a:
a) y - 8 = -2(x - 6) = -2x + 12
y = -2x + 12 + 8 = -2x + 20
Describe in a couple of sentences what key features you can identify from the graph of a quadratic equation?
given f(x)=x^2-x; find f(-5)
Mario baked cookies for the class party. the students ate 3/4 of what mario bought. the students on his bus ate 1/3 of what was left. mario had 6 left when he got home. how many cookies did mario bake?
PLEASE HELP FOR BRAINIEST ASAP!!
Draw two isosceles triangles, ∆ABC and ∆ADC with common base AC. Vertexes B and D are in the opposite semi-planes determined by AC. Draw the line segment BD. Prove: AC ⊥ BD.
I need help with my essay questions!! Can someone please help me!! It would mean so much to me!!
24. You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. How confident can you be that your predicted value will be reasonably close to the actual value ?
I get 2 points for this essay. Please help me someone! I really don't know how to answer this!! :[
Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
1. 7.7 hours
2. 13.0 hours
3. 14.3 hours
4. 15.7 hours
divide 143.00 by 11.00
143/11 = 13
Answer is 2. 13.0 hours
Answer:
Step-by-step explanation:
Byron earns $11.00 per hour.
Lets say he works for x hours
for x hour Byron earn =11x
It is given that
Byron have to work to earn= $143.00
so
11x= 143
x=143/11
x=13
so He must work for 13.0 hours .
Which equation could be used to solve the given problem: if three times a number is increased by 24, the result is 4 less than seven times the number?
The equation of the given problem would be 3x + 24 = 7x - 4 and the solution is 7.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have given that "if three times a number is increased by 24, the result is 4 less than seven times the number"
Let the number be x then we have;
three times a number means 3x
seven times the number means 7x
Therefore, the equation will be;
3x + 24 = 7x - 4
Now solving for x unknown number;
3x + 24 = 7x - 4
24 + 4 = 7x -3x
28 = 4x
x = 7
Hence, the equation of the given problem would be 3x + 24 = 7x - 4, and the solution is 7.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ5
What happens when you multiply 2 negative numbers?
Can someone please help me with number 37?
Answer:
x = 10Step-by-step explanation:
[tex]4-(3x-5)=6-(2x+7)\\\\/-(a+b)=-1(a+b)=(-1)(a)+(-1)(b)-\text{distributive property}/\\\\4-3x-(-5)=6-2x-7\\\\4-3x+5=6-2x-7\qquad\text{combine like terms}\\\\-3x+(4+5)=-2x+(6-7)\\\\-3x+9=-2x-1\qquad\text{subtract 9 from both sides}\\\\-3x+9-9=-2x-1-9\\\\-3x=-2x-10\qquad\text{sdd}\ 2x\ \text{to both sides}\\\\-3x+2x=-2x+2x-10\\\\-x=-10\qquad\text{change the signs}\\\\\boxed{x=10}[/tex]
Answer: [tex]x=10[/tex]
Simplify both sides of the equation
[tex]4-(3x-5)=6-(2x+7)[/tex]
[tex]4+-1(3x-5)=6+-1(2x+7)[/tex] (Distribute the Negative Sign)
[tex]4+-1(3x)+(-1)(-5)=6+-1(2x)+(-1)(7)[/tex]
[tex]4+-3x+5=6+-2x+-7[/tex]
[tex](-3x)+(4+5)=(-2x)+(6+-7)[/tex] (Combine Like Terms)
[tex]-3x+9=-2x+-1[/tex]
Add 2x to both sides
[tex]-3x+9+2x=-2x-1+2x\\-x+9=-1[/tex]
Subtract 9 from both sides
[tex]-x+9-9=-1-9\\-x=-10[/tex]
Divide both sides by -1
[tex]-x/-1=-10/-1\\x=10[/tex]
What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.
a^2 +b^2 = (2.5sqrt(2))^2
2a^2 = 6.25 *2
a^2 = 6.25
a = sqrt(6.25)
a = 2.5
length of each side = 2.5 units
Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm. What is the length of the other diagonal, DF? 5 cm 16 cm 21 cm 32 cm
The length of the other diagonal, DF is 44 cm.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Since the kite has two pairs of congruent adjacent sides, we know that the diagonals of the kite are perpendicular bisectors of each other.
Therefore, we can use the Pythagorean theorem to find the length of the other diagonal DF.
Let x be the length of the other diagonal, DF.
We know that one diagonal EG has a length of 24 cm, so we can use the Pythagorean theorem to find the length of the perpendicular bisector of EG, which is half of DF.
By the Pythagorean theorem, we have:
[tex](20/2)^2 + (x/2)^2 = 24^2\\100 + (x/2)^2 = 576\\(x/2)^2 = 476\\x/2 = \sqrt(476)\\x = 2 \times 21.86\\x = 43.72\\x = 44[/tex]
Therefore,
The length of the other diagonal DF is 44 cm
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ5
∠DAC and ∠CAB are adjacent. m∠DAC = 53°, m∠DAB = 64°. What is the measure of ∠CAB?
A) 11°
B) 117°
C) 53°
D) 64°
During a certain day, a worker did 77 parts. He usually does 55 parts per day. What was the percent by which he increased the usual number of parts?
Given m∠P = 38° and m∠O = 70°, find m∠1.
38
72
108
142
pls
Answer:
The answer is m∠1 = 72°
Step-by-step explanation:
One of the properties of a triangle is that all the angles of the triangle must add up to 180°.
Therefore:
m∠P + m∠O + m∠1 = 180°
Given that:
m∠P = 38° and m∠O = 70°
We can conclude that:
38° + 70° + m∠1 = 180°
m∠1 = 180° - 38° - 70°
m∠1 = 72°
Somebody help me on this real quic plz
What is the benefit of using statistical sampling versus nonstatistical sampling?
An auditorium is to seat 2,400 people. The building code requires three square feet for each person. How many square meters will that auditorium have?
Use < , > , or = to compare the numbers. 54 68 70 70 55 930 778 703
Is the following relation a function? {(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)}
Answer:
No, the given relation is not a function.
Step-by-step explanation:
Consider the given relation
[tex]\{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)\}[/tex]
We need to check whether the given relation is function or not.
A relation is a function if there exist a unique value of y for each value of x.
In the given relation, for x=0.3 there exist more than one value of y.
y=0.6 at x=0.3
y=0.7 at x=0.3
For one input there exist more than one output. Therefore, the given relation is not a function.
BRAINIEST AND YOU WILL GET 10 POINTS!
What is the value of p in the equation 4p + 3(p + 4) = 12p + 12?
12, 1, 0, -1.
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
3x = 9, 3x = 1 , 11x = 9, 11x = 1
What is the value of z in the equation 3z + 5 = 4z − 8?
13, 1, -13, -1
The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:
Step 1: 3(4x − 2) = 9 + 2x + 5
Step 2: 12x − 2 = 14 + 2x
Step 3: 12x − 2x = 14 + 2
Step 4: 10x = 16
Step 5: x = 1.6
In which step did the student first make an error and what is the correct step?
Step 2: 12x − 2 = 4 + 2x
Step 2: 12x − 6 = 14 + 2x
Step 3: 12x + 2x = 14 + 2
Step 3: 12x − 2x = 14 − 2
Patty is inviting her friends to a party. She has 30 snack bars and 45 juice boxes, and she wants to give the same number of each item to each friend. Use the drop-down menus to describe how many friends Patty can invite. At most, Patty can invite friends to the party. If she invites that many friends, each will receive snack bars and juice boxes.
Find three consecutive odd integers whose sum is 117.
How would I solve
-1+2i / -1-3i
Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.
Answer:
a. They are same side interior angles. Angle A measures 55°.
They are same side interior angles. Angle A measures 55° which is correct option(A).
What are Interior angles?Interior angles is defined as those that lie inside a shape, or those that are located in the region enclosed by two parallel lines that cross each other at a horizontal angle.
What are Alternate Interior Angles?Alternate Interior Angles is defined as these angles are created when a transversal intersects two parallel lines. The opposing sides of the transversal produce this non-adjacent pair of angles.
What are Vertical angles?Vertical angles is defined as when two lines meet each other at a point. They are always equal to each other, In other words, four angles are created anytime two lines cross or intersect.
What are corresponding angles?Corresponding angles is defined as any pair of angles that are both on the same side of the transversal and of one of the two lines that it intersects.
Given angle measure as 125°
Therefore, they are same side interior angles. Angle A measures 55°.
Learn more about Interior angles here:
https://brainly.com/question/10638383
#SPJ6
The sum of the digits of a two-digit number is 7. the new number obtained when the digits are reversed is 27 less than the original number. find the original number
Which of the following is equivalent to 34 · 3-2?
Ten times the square of a non zero number is equal to eighty times the number
What is the number?
The Number in the statement is 4/5.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Ten times the square of a non zero number is equal to eighty times the number.
let the number be x.
So, 10x² = 8x
10x² - 8x= 0
2(5)(x)(x) - 2 (2)(2)(x) = 0
2x( 5x - 4)= 0
Now, 2x= 0 or 5x-4=0
x= 0 or x= 4/5
Hence, the number is 4/5.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2