Answer:
3a-8
Step-by-step explanation:
(3a-4) -4
= 3a-4-4
= 3a-8
In December of 2003, the average price for a gallon of regular gas in the United States was $1.50.
b. Is the relationship between number of gallons and cost proportional? Explain.
Answer:
yes
Step-by-step explanation:
because the cost stays the same and you would multiply blank gallons of gas by 1.50 every time so it is proportional. For example: it would be $1.50 to 1 gallon, $3 to 2 gallons, $4.50 to 3 gallons and would keep going like that, adding the same amount every time
Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there are 12 cookies in each dozen, what is the cost per cookie?
Answer:
you have to divide 12 by 15
Step-by-step explanation:
Find the missing factor BBB that makes the equality true. -35x^6=(-5x^2)(B)−35x 6 =(−5x 2 )(B)minus, 35, x, start superscript, 6, end superscript, equals, left parenthesis, minus, 5, x, squared, right parenthesis, left parenthesis, B, right parenthesis B =B=B, equals
Answer:
[tex]B=7x^4[/tex]
Step-by-step explanation:
The given equality is
[tex]-35x^6=(-5x^2)B[/tex]
Take the term [tex](-5x^2)[/tex] to the left hand side. This means the term [tex]-35x^6[/tex] will be divided by [tex](-5x^2)[/tex]
[tex]\dfrac{-35x^6}{(-5x^2)}=B[/tex]
Now since both the numerator and denominator have negative sign the value of fraction will be positive.
[tex]\dfrac{35x^6}{(5x^2)}=B[/tex]
Now [tex]5\times 7=35[/tex] and [tex]x^{6-2}=x^4[/tex]
[tex]7x^4=B[/tex]
So, the missing factor [tex]B=7x^4[/tex]
What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)?
y - 2 = 0
y - x - 2 = 0
x - 2 = 0
9514 1404 393
Answer:
y - 2 = 0
Step-by-step explanation:
The given coordinates both have y=2, so the desired line is ...
y = 2
In general form, that would be ...
y - 2 = 0
A scuba diver dove from the surface of the ocean to an elevation of -59 9/10 feet at a rate of -18.4 feet per minute. After spending 12 minutes at that elevation, the diver ascended to an elevation of -18 9/10 feet. The total time for the dive so far was 19 1/8 minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.
The rate of change of the diver's elevation was _______ ft/min.
Please include all of the work required to complete the mathematical problem. I would really appreciate it! <3
Answer:
The rate of change of the diver's elevation was 10 53/89 ft./min
Step-by-step explanation:
The given parameters are;
The initial elevation of the diver = 0 feet (Ocean surface level)
The depth to which the diver dove = -59 9/10 feet
The rate at which the diver descended = -18.4 feet/minute
The duration the diver spends at the elevation, t₁ = 12 minutes
The depth to which the diver ascended to = -18 9/10 feet
The total time the diver takes so far in the ocean, [tex]t_{(tot)}[/tex] = 19 1/8 minutes
Therefore, we have;
The time it takes the diver to descend to -59 9/10 feet t₂ = -59 9/10/(-18.4) = 3 47/184 minutes
The duration of the divers ascent = [tex]t_{(tot)}[/tex] - t₁ - t₂ = 19 1/8 - 12 - 3 47/184 = 3 20/23 minutes
The rate of change of the divers elevation in ascent = Distance of elevation/Time
The rate of elevation of the divers elevation in ascent = (-18 9/10 - (-59 9/10))/(3 20/23) = 41/(3 20/23) = 943/89 feet/minute = 10 53/89 feet/minute
The rate of change of the diver's elevation = 10 53/89 ft./min ≈ 10.6 ft./min.
slope of points (-11,5), (-6,0)
Identify the system of linear equations from the tables of values given below.
x y
0 5
5 0
2 3
4 1
x y
0 -3
3 0
5 2
-1 -4
Answer:
It is the first answer y=- x + 5 and y = x - 3
Step-by-step explanation:
y=-x+5 and y=x-3 is the system of linear equations for the given table values.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A system of linear equations is usually a set of two linear equations with two variables.
x y
0 5
5 0
2 3
4 1
Let us find equation of these values by considering any two points.
Slope: m=1-3/4-2=-2/2=-1
1=-1(4)+b
1+4=b
b=5
So y=-x+5 is the linear equation for first table.
x y
0 -3
3 0
5 2
-1 -4
Slope m=-4-2/-1-5=-6/-6=1
Now find the y intercept
-4=1(-1)+b
-4+1=b
-3=b
y=x-3 is the equation of second table.
Hence, y=-x+5 and y=x-3 is the system of linear equations for the given table values.
To learn more on Equation:
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Which three lengths
cannot be the lengths of
the sides of a triangle?
a) 13, 11, 14
b) 17,5, 10
c) 21, 16, 14
d) 8, 9, 14
Answer:
B)
Step-by-step explanation:
You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B
factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?
Answer:
A= $54144B= loss of $829.96 per weekStep-by-step explanation:
The question is incomplete, here is the detailed version:
A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and
the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much
does the factory pay out for each week?
B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above
and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .
A. The total pay per week
= (10(150)+88(85.5))*6
=(1500+7524)*6
=9024*6
=$54144
B. The factory’s total profit or loss in one week.
= 60,128.72-(54144+6(1135.78))
=60128.72-(54144+6814.68)
=60128.72-60958.68
= -829.96
The factory will make a loss of $829.96 per week
Is the equation, y= 12x proportional or non-proportional? Explain why or why not. *
Answer:
proportional
Step-by-step explanation:
because it has a constant ratio
Answer: Proportional
Step-by-step explanation:
The equation for a proportional relationship is y=kx. This equation: y=12x fits the equation, so it's proportional.
I’m confused?????????
Answer:
The equation of the line is y - 3 = 2.5(x - 2) ⇒ D
Step-by-step explanation:
The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineThe point-slope form of a line is y - y1 = m(x - x1), where
(x1, y1) is a point on the lineFrom the given figure
∵ The line passes through points (2, 3) and (0, -2)
∴ x1 = 2 and y1 = 3
∴ x2 = 0 and y2 = -2
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-2-3}{0-2}=\frac{-5}{-2}=2.5[/tex]
∴ m = 2.5
→ Substitute the values of m, x1, y1 in the form of the equation above
∵ m = 2.5, x1 = 2, y1 = 3
∵ y - 3 = 2.5(x - 2)
∴ The equation of the line is y - 3 = 2.5(x - 2)
The function g(x) = |x – 6| – 8 is graphed. What is the range? {y | y > –8} {y | y ≥ –8} {y | y < –8} {y | y is all real numbers}
Answer:
The answer is B {y | y ≥ –8}
Step-by-step explanation:
I just did it
Answer:
(B) {y | y ≥ –8}
Step-by-step explanation:
On a coordinate plane, an absolute value graph has a vertex at (6, negative 8).
The function g(x) = |x – 6| – 8 is graphed. What is the range?
{y | y > –8}
{y | y ≥ –8}
{y | y < –8}
{y | y is all real numbers}
¿Cuáles son los términos de la expresión
algebraica 5p + 4?
A: 4
B: 5p
C: +
Answer:
A, B
Step-by-step explanation:
Los términos están separados por +, -, / o x.
On Wednesday Mr. Miles walked in right at 9/10 of the trail then he walked one eights of the trail back and you stop to rest what fraction of the course with Mr. Miles from the beginning of the trail when he stopped
Answer:
31/40
Step-by-step explanation:
Given that:
Fraction of the trail walked intulally = 9/10
Fraction of the trail walked back = 1/8 before stopping to rest
His current distance from the beginning :
Distance walked initially - distance walked back
9/10 - 1/8
The L. C. M of 10 and 8 = 80
Hence,
9/10 - 1/8
= (72 - 10) / 80
= 62 / 80
= 31 / 40
Hence, his rest point or position is 31/40 from the beginning of the trail
not trying to do my work right help
Answer: you are correct. The answer is the first option and if you don't believe me look at my explanation.
Step-by-step explanation: Since a ratio can also be written as a fraction, 3:12 = 3/12. So what you do is simplify 3/12 to get 1/4 which equals 1:4.
What does y and x equals using elimination
Answer:
I got x = -3/7, y = 20/7. Hope this helps :)
What is the slope of a surface having a rise of 5 feet and a run of 0 feet
Answer:
Undefined, this is bc a slope is always a fraction, that means it can be written as 5/0 but you can't divide anything by 0 for slope so its undefined. Hope that helps!
Is this sequence arithmetic, geometric, or neither? 45, 50, 65, 70, 85, ...
neither
geometric
arithmetic
Answer:
Sequence of arithmetic
Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
Rewrite as a unit rate
Answer:
I think its letter A
Step-by-step explanation:
hoped it helped
what is the smallest even number you can make with the numbers 5,7,4,9
Answer:
-4
Step-by-step explanation:
5 - 9 = -4.
Only 4 - 9 = -5 is smaller, but it is an odd number.
Answer:
-1
Step-by-step explanation:
5-7= -2, 7-9= -2
4-9= -5, 4-5= -1
what is 6(5g + 2) = 30g
Answer:
g ∈ ∅
Step-by-step explanation:
Expand the expression
30 g + 12 = 30
Cancel out the 30g on both sides
12 = 0
Decide whether the statement is true or false
g ∈ ∅
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:a
Step-by-step explanation:
What is 100% as a fraction
Answer:
1/1
100% as a fraction can be written as 1/1, which can be "simplified" to 1. In other words, 100% is the whole.
Hope this helps ^-^
Molly is making a quilt for her mother. The quilt will have several designs. One of the designs is shown below. What is the total perimeter of this design, in inches? A. B. C. D.
Answer: A. 12 + 12√12
Step-by-step explanation:
The perimeter of a triangle is acquired by adding up all the sides of the triangle.
In this case therefore the perimeter is;
= 2√2 + 2√2 + 4
= 4√4 + 4
There are 3 triangles so the total perimeter is;
= 3 * (4√4 + 4)
= 12√12 + 12
= 12 + 12√12
The graph shows the relationship between the number of gallons of gas that are purchased and the total cost
Answer:
962.5 is the answer
Step-by-step explanation:
One gallon cost 2.5 dollars and according to this 1*2.5=2.5+2*5=10........
The relationship between no. of gallons and the total cost of purchasing is in a linear relationship.
What is a linear relationship ?A linear relationship between two variable is when one variable is increased or decreased by some constant this results in same amount of increase or decrease in the another variable.
According to the given data
The relationship between the number of gallons of gas that are purchased and the total cost is in linear relationship.
A linear relationship forms when increasing a variable k times results in increase of k times on the another variable and same is for decrease.
We can observe when x = 1, y = 2.5.
Now suppose k is 10
∴ x = 1k and y = 2.5k
x = 10 and y = 25. Which is already given in the diagram showing a linear relationship.
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I have to find the difference I need help tho
A dyadic angle is an angle that is a sum of principle dyadic angles, this is to say that its measure in radians is zero or 2(pi) x (m/(2^n)) for some of the natural numbers m and n. Show that the sum and average of two dyadic angles is again a dyadic angle.
Answer:
attached below
Step-by-step explanation:
A dyadic angle is the sum of two principal dyadic angles
lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians
attached below is the proof that sum and average of two dyadic angles is a dyadic angle
Find the area of a square with side length x when x is equal to the given value.
Are the area of a square and the length of its side directly proportional? Justify your answer.
x=15 ft
Answer:
The area is 225 and they are not directly proportional
Step-by-step explanation:
find the area by doing 15 x 15 which is 225
Answer:
225
Step-by-step explanation:
easy
O Perímetro de triângulo isósceles mede 24cm. Qual é a medida de comprimento dos lados congruentes sabendo-se que o lado não congruente mede 7cm de comprimento?
Answer:
La longitud de los lados congruentes =
B = 8.5cm
C = 8.5 cm
Step-by-step explanation:
El perímetro del triángulo isósceles mide 24 cm.
El lado no congruente mide 7 cm de largo.
Lados congruentes significa lados que son iguales o iguales entre sí.
El perímetro de un triángulo es =
Lado A + Lado B + Lado C
Por lo tanto,
24 = 7 cm + B + C
24 - 7 = B + C
17 cm = B + C
Los dos lados son congruentes,
B = C
Por lo tanto, 17 cm / 2
= 8.5 cm
La longitud de los lados congruentes =
B = 8.5 cm
C = 8.5 cm
You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you the direction of your move, and has 4 faces
that say "forward and 2 faces that say backward." The green die tells you how far to move, and has 1. 1. 2.2.3, and 4 on the faces. On your turn, what is the
probability that you move backward 2 spaces
Answer: The probability is 1/9.
Step-by-step explanation:
First, let's define the possible outcomes of each dice:
Red: Forward (4 times), Backward (2 times)
Green : {1, 1, 2, 2, 3, 4}
We want to find the probability of moving backward 2 spaces.
Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.
First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:
p1 = 2/6 = 1/3.
And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):
p2 = 2/6 = 1/3.
Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:
P = p1*p2 = (1/3)*(1/3) = 1/9.