The equation that models this situation is z = 7.9y + 12.
A linear equation is a function that has a single variable raised to the power of 1. An example is x = 4y + 2.
Where:
2 is the constantx = dependent variable y = independent variableFrom the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.
z = 7.9y + 12
Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.
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Find the perimeter. Simplify your answer.
Answer:
Step-by-step explanation:
p = 10x + 2 + 7x - 6 + 8x
p = 25x - 4
Answer:
To Find the perimeter we add all the sides,perimeter = 10x + 2 + 7x - 6 + 8x
= 25x - 4...ans
Step-by-step explanation:
Hope it Helps you!!Find the solution to the system of equations:
7x-8y=-23
7x-7y=-14
Answer:
Solutions: x = 7, y = 9; or (7, 9)
Step-by-step explanation:
Given the following systems of linear equations:
7x - 8y = -23
7x - 7y = -14
Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.
7x - 8y = -23
- 7x - 7y = -14
-y = -9
Divide both sides by -1 to solve for y:
[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]
y = 9
Substitute the value of y into either one of the given equations to solve for x:
7x - 7y = -14
7x - 7(9) = -14
7x - 63 = -14
Add 63 to both sides:
7x - 63 + 63 = -14 + 63
7x = 49
Divide both sides by 7 to solve for x:
[tex]\frac{7x}{7} = \frac{49}{7}[/tex]
x = 7
Double-check whether x = 7 and y = 9 are valid solutions to the given system:
x = 7, y = 9:
7x - 8y = -237(7) - 8(9) = -23
49 - 72 = -23
-23 = -23 (True statement).
7x - 7y = -147(7) - 7(9) = -14
49 - 63 = -14
-14 = -14 (True statement).
Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).
PARALLEL PERPENDICULAR OR NEITHER
Answer: maybe: perpendicular
Step-by-step explanation:
What is the slope of the line that passes through the points (3, 6) and (1, 2)
Answer:
2
Step-by-step explanation:
[tex]\frac{(2-6)}{(1-3)}[/tex]=[tex]\frac{-4}{-2}[/tex]=2
Nada drinks 54 glasses of water a week. How many glasses of water does she drink in 9 Weeks?
Answer: 486 glasses of water in 9 weeks
Step-by-step explanation:
54 X 9 = 486
Or you could add 54 to itself 9 times then you will get 486
6 weeks to 12 days answer?
What is the length of side x?
Answer:
21
Step-by-step explanation:
10.5 ÷ 3 = 3.5
3.5 × 6 = 21
what should be included in your financial plan to protect assets
Answer:
A trust could protect them. Buying liability insurance or an umbrella policy will also help protect assets in case you get sued.
Step-by-step explanation:
Wayne took his family out to dinner. The cost of the food was $42.50. Wayne decided to give a 30% tip because of excellent service. The tax was 4% of the cost of the food. What was the total amount the meal cost him?
Answer:
$56.29
Step-by-step explanation:
A litter of puppies consists of black puppies and white puppies. A
puppy is randomly selected and removed from the litter. Then another
random selection is made from the remaining puppies.
Event A: The first
selection is a black
puppy.
Event B: The second
selection is a white
puppy.
Is A dependent on B?
We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.
So the situation is:
We have a group of puppies, some are black, some are white.
Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:
n₁ + n₂ = N
Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:
q = n₁/N
Then now we have:
N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.Now for the second selection, event B, the probability of selecting a white puppy is:
P = n₂/(N - 1)
Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.
So clearly event B depends on event A.
Now the question is:
Is A dependent on B?
No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.
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What is (-1/2) in mathematics
Answer: One half is the irreducible fraction resulting from dividing one by two (2) or the fraction ... One half often appears in mathematical equations, recipes, measurements
Step-by-step explanation: For example, if you wish to halve the fraction 5/7, write “* 2” beside the denominator “7.” There is no operation to perform to the numerator. Multiply the denominator by 2 to halve the fraction. Using the same example, 7 * 2 = 14. This means that half of 5/7 is 5/14.
Can someone help me with question 8 please this is due tomorrow
Answer:
New eq: 11x + 1. The line will become steeper.
Step-by-step explanation:
Slope is rise over run. In the original equation, y increased 4 times everytime x increased by one. In the new equation, y increased 11 times everytime x increased by one making it steeper.
57 multiplied 2794?
IXL question
A television weighs 50 pounds and a microwave
weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?
Answer:
Step-50*t + 30*m = 1500, (1) (pounds)
4*t + 3*m = 138. (2) (cubic feet)
From (2), express 3m = 138 - 4t, and substitute it into (1). You will get
50t + 10*(138-4t) = 1500, or
10t = 1500 - 1380 ---> 10t = 1120 ---> t = 112 TVs.
From this point, find the number of microwaves on your own.
step by-step explanation:
The interval (-1, 1) is best described as
Answer: There's an increasing interval between -1 and 1
While x goes from -1 to 1, the value of y increases (from -2 to 2).
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice. How much of each ingredient would you need to make 100 quarts of punch?
Answer:
Step-by-step explanation:
Sparkling grape juice is made with 1.5 quarts sparkling water and 0.75 quarts grape juice. When these two get mixed we get 2.25 quarts sparkling grape juice
So for 2.25 quarts sparkling grape juice we require 1.5 quarts sparkling water
⇒ For 100 quarts sparkling grape juice we require * 100 quarts of sparkling water
⇒ Sparkling water required for 100 quarts of sparking grape juice = 66.67 quarts
Which inequality has the graph shown below?
Answer:
the 1 one
Step-by-step explanation:
Answer:
the answer is the first graph :)
Step-by-step explanation:
lmk if you need and explanation
hope this helps!❄︎
The hanger image below represents a balanced equation.
27
V
Find the value of v that makes the equation true.
U =
I need the answer
Answer:
2x =3
The hanger image given in the figure represents balanced equation.
Then we have to write an equation to represent the image.
In balanced form left side = right side
x + x = 1 + 1 + 1
2x = 3
The value v is 9.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that is a structure showing a balanced hanger we need to find the value,
So we can say since the hanger is balanced therefore the weight both sides will be equal,
Therefore,
v + v + v = 27
3v = 27
v = 27
Hence the value v is 9.
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Brooke has a savings account. The account balance is $550.87 at the beginning of the month. The list below shoes all of the activity for one month.
- a deposit of $75.98
- a withdrawal of $34.88
- a deposit of $84.12
What is the balance in Brooke's savings account at the end of the month?
Answer:
676.09
Step-by-step explanation:
550.87 + 75.98 = 626.85
626.85 - 34.88 = 591.97
591.97 + 84.12 = 676.09 therefore that's the amount at the end of the month
p pennies added to 22 pennies
How many solutions are there to the equation below?
5x + 15 = 5(x+4)
Answer:
I think it 2 solution to the problem you can add or multiple
Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.
Solving the inequality, it is found that the correct interpretation of the solution is:
Reina's family can drive 83 more miles before they need to refill the gas tank.
The amount x of miles they can still travel is modeled by the following inequality:
[tex]221 + x \leq 304[/tex]
To solve it, we treat it similarly to an equality, hence:
[tex]x \leq 304 - 221[/tex]
[tex]x \leq 83[/tex]
Hence:
Reina's family can drive 83 more miles before they need to refill the gas tank.
A similar problem is given at https://brainly.com/question/11713066
The answer prior to this is WRONG. The correct answer is "at most 83" miles.
What is the distance between −93 and 114 on a number line?
Answer:
207
Step-by-step explanation:
By counting the amount of numbers to get from -93 to 114, you count a total of 207. This means it takes 207 steps to get from -93 to 114.
When finding the distance between negative and positive numbers you can also add the numbers together to get the total distance between the numbers.
Answer: what ever u said on the answer to one of my questions got deleted lol
Step-by-step explanation:
Beth has 6 blue envelopes. She has 2 fewer yellow envelopes than blue envelopes. She has 7 times as many green envelopes as yellow envelopes. How many envelopes does Beth have in all?
PLEASE ANSWER MY LITTLE SISTER DOESN'T TRUST ME WITH THE REAL ANSWER PLSSSSSS
Answer:
38
Step-by-step explanation:
No. of yellow envelopes she has
= 6-2
= 4
No. of green envelopes she has
= 7×4
= 28
Total number of envelopes she has
= 6+4+28
= 38
A used car is advertised for sale at "$300 down and $65 a month for 12 months. What is the total price of the car?
Answer:
It will be 780
Step-by-step explanation:
explanation is that I multiply 65$ by 12
Factor out the GCF from the terms of the polynomial –4y^5 + 6y^3 + 8y^2 – 2y.
I know that it is either B or D but I got confused
Answer:
D
Step-by-step explanation:
He gave the cashier $14.22 and received $2.63 in change. How much did the duffel bag cost?
Answer:
$11.59
Step-by-step explanation:
14.22-2.3=11.59
also this was like a question that gose "joe has 5 cookes, josie eats 3, how old is josie?"
PLSSSSS I REALLY NEED HELP IT IS DUE VERY SOON AND THIS IS MY LAST QUESTION I AM BEGGING EXTRA POINTS WILL BE INCLUDED FOR WHOEVER ANSWERS! GRAPH AND TABLE INCLUDED! the graph shows the relationship between the distance that a snail crawls and the time that it crawls. a. Use the points on the graph to make a table. b. Write the equation for the relationship and tell what each variable represents.
Answer: y=10x
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is y=1x+2
what year was it, exactly 4 centuries before 1965?
Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.
A century refers to a period of 100 years.
If we are looking for a period of 4 centuries therefore, this would be:
= 4 x 100
= 400 years
4 centuries before 1965 would therefore be:
= 1965 - 400
= 1565
In conclusion, the answer is 1565.
Find out more at https://brainly.com/question/17498856.
A cyclist travels 9.6 km in 30 minutes. What is his average speed in km/h?
Answer:
[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]
Step-by-step explanation:
Average speed = distance/time
Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour
Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]