Answer:
[tex]w=-8.3g+2075[/tex]
Step-by-step explanation:
Let the x axis represent the gallons g
and y axis represent the weight of the tank w.
So, the first point on the plane will be [tex](20,1909)[/tex]
and the second point will be [tex](50,1660)[/tex]
The line between these points will be
[tex]w-1909=\dfrac{1660-1909}{50-20}(g-20)\\\Rightarrow w-1909=-\dfrac{249}{30}(g-20)\\\Rightarrow w-1909=-\dfrac{83}{10}(g-20)\\\Rightarrow w=-\dfrac{83}{10}g+\dfrac{83}{10}\times 20+1909\\\Rightarrow w=-\dfrac{83}{10}g+2075\\\Rightarrow w=-8.3g+2075[/tex]
The relationship between the weight and gallons of the tank is [tex]w=-8.3g+2075[/tex]
11 + 2² - 2
please use pemdas
Answer:
the answer is 13
Step-by-step explanation:
i did PEMDAS
Answer:
13
Step-by-step explanation:
11+2*2-2
2*2=4
4+11=15
15-2=13
13 is the answer
if the exponent was 5 you would put 2*2*2*2*2.
Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integer x and for every integer y, if x is odd and y is odd then x y is even. (c) For every integer x, if x is odd then x 3 is odd.
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
Katrina and her family received 147 pieces of chocolate packed in boxes of 21. Her family ate 3 boxes of chocolate. How many boxes are left? Step by step explanation. Pls help!
Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. Show the relationship between the number of weeks (W) and Sadie’s savings (S) using an expression.
Answer:
It will take her 10.5 weeks.
Expression: 50w + 75
the cost for a company to produce a part for d days is represented by the function f(d)=275d+12,950 what does the value 12,950 represent in this situation?
A.) Each day the total cost increases by $12,950
B.) The initial cost is $12,950
C.) Each day the total cost decreases by $12,950
D.) The total cost to produce a part for d days is $12,950
Answer:
B.) The initial cost is $12,950
Step-by-step explanation:
Given that:
[tex]f(d)=275d+12,950[/tex]
is the function to represent the cost for a company for the production of a part for [tex]d[/tex] number of days.
To find:
What does the value 12,950 represent in the above cost function.
Solution:
The given function contains two parts:
1. One part is multiple of [tex]d[/tex] and
2. Second part is a constant.
Here, [tex]d[/tex] is the number of days.
As [tex]d[/tex] changes, the value also changes but the constant part remains the same.
Therefore, we can conclude that the initial cost for the company is $12,950.
The answer is:
B.) The initial cost is $12,950
Answer: the initial cost is $12,950
Step-by-step explanation:
I took the test
find the area of shaded region from the following figures
Answer:
392?
Step-by-step explanation:
If 1 inch is 500 miles, then 4 inches is how many miles?
Answer:
2,000 miles
Step-by-step explanation:
We are given:
[tex]1 inch=500 miles[/tex]
This can be rewritten as:
[tex]\frac{500 miles}{1inch}[/tex]
This is representative of a unit rate, as we have a [tex]1[/tex] in the denominator. To calculate the number of miles in [tex]4[/tex] inches, simply multiply the unit rate by [tex]4[/tex]:
[tex]\frac{500 miles}{1inch}*4=[/tex]
[tex]\frac{2000 miles}{4 inches}[/tex]
This can rewritten as:
[tex]4inches=2000miles[/tex]
Therefore, there are 2,000 miles in 4 inches.
-
We can check our solution by simplifying the fraction [tex]\frac{2000 miles}{4 inches}[/tex] by dividing both [tex]2000[/tex] and [tex]4[/tex] by [tex]4[/tex] to see if we achieve the unit rate:
[tex]\frac{500 miles}{1 inch}[/tex]
Since this is in fact the unit rate, our solution is correct!
is 3:2 and 10:5 equvalent?
Multiply and simplify: –3x2y2 • x4
–3x5y2
9x5y2
–3x6y2
–3x5y6
Answer:
Multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]
Option C is correct option.
Step-by-step explanation:
We need to multiply and simplify: [tex]-3x^2y^2 \:.\: x^4[/tex]
Simplifying the term:
[tex]-3x^2y^2 \:.\: x^4[/tex]
While multiplying, the variables with same bases are multiplied: [tex]a^m\:.\:a^n=a^{m+n}[/tex]
In the given question only x^2 and x^4 are variables with same bases, So we get:
[tex]=-3(x^{2+4})y^2\\=-3x^6y^2[/tex]
So, multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]
Option C is correct option.
How would the line on the graph below change if the slope and the y-
intercept were multiplied by 3?
Answer:
A.) The line would shift up and have a y-intercept at 12 and the slope would be -9
Step-by-step explanation:
The y-intercept is where the graph intersects the y-axis. This graph intersects at 4, so if it was multiplied by 3, the new y-intercept would be 12.
any help please
i need a answer please
Answer:
Store B offers the better buy. The difference in Unit cost is 5 cents or $0.05
Step-by-step explanation:
First find the costs per tuna. In Store A: 8 cans cost $7.20. To find the cost of 1 can you have to do $7.20/8 which is 90 cents or $0.90In store B; 6 cans cost $5.10. To find the cost of 1 can do $5.10/6 which is 85 cents or $0.85.Therefore store B is cheaper, and to find the difference cost: Do the larger cost minus the smaller: 90 cents-85 cents= 5 cents or $0.05 as the difference cost
someone please help meee
ok with what
what do you need help wirh
section 4 algebra nation
Answer:
it is 45
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
A group of friends ate a meal in a restaurant, and the cost of their bill is m. Which expression represents the total amount that they'll pay if they tip 20%?
Question 4 options:
A)
1.2 + m
B)
0.2m
C)
1.2m
D)
0.2 + m
The expression that represents the total amount that they'll pay if they tip 20% will be 0.2 + m, because dollars are taxed. so option D is correct.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
It is given that a group of friends ate a meal in a restaurant, and the cost of their bill is m.
We need to find the expression that represents the total amount that they'll pay if they tip 20%.
So we know that,
20% = 0.20
The cost of their bill = m.
The total amount they'll pay including tip = 0.2 + m
Therefore, the expression that represents the total amount that they'll pay if they tip 20% will be 0.2 + m, because dollars are taxed. so option D is correct.
Learn more about solving equations here:
https://brainly.com/question/18015090
#SPJ2
If sin x= 1/2 and cos x= √3/2, the measure of angle x is equivalent to:
Answer:
s
if sin x= 1/2, cos x= root 3/2,
x = 30 degrees
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:
y=-4x=5
Step-by-step explanation:
i did it on a test
Write an equation of the line with a slope of —3 and y-intercept of 0.
Circle the fraction equal to 0.1%
Find the value of x in the triangle shown.
Find x & y so that quadrilateral is a parallelogram. (Look at image)
Answer:
x = 20° and y = 12°
Step-by-step explanation:
3y + 15° = 5y - 9° ( being opposite angles of parallelogram)
5y - 3y = 15° + 9°
2y = 24°
y = 24° / 2
y = 12°
Now
5x + 29° = 7x - 11° ( being opposite angles of parallelogram)
7x - 5x = 29° + 11°
2x = 40°
x = 40° / 2
x = 20°
Hope it will help :)❤
A box of national brand cornflakes is $2.09 for 12 ounces. A box of store label cornflakes is $3.09 for 20 ounces. Assuming both brands taste equally good, which is the better buy? Justify your answer. Can someone help me?!?!
Answer: Store label cornflakes
Step-by-step explanation:
A dollar for 8 more oz of cornflakes than the national brand is a deal.
In one study on the effect of argan oil on wrinkles, 125 subjects who acknowledged being long-time argan oil users had their wrinkles compared with those of 125 people who had never used argan oil. In a second study, 75 subjects were chosen randomly to use argan oil and 75 were chosen to use a placebo. Identify the types of studies performed. (4 points)
Answer: The first study was an observational study whereas the second was a controlled experiment.
Step-by-step explanation:
A study that record the characteristics of a population by studying individuals in a sample, but does not manipulate variables of interest is known as an operational study. Like in the first study only effects have been noted.
A controlled experiment is an experiment where the variable of interest is directly manipulated by a scientist, in order to test a single variable at a time.
Like in the second study, the subjects were under the control of the experimenter, to test the effect of oil.
The first study was an observational study whereas the second was a controlled experiment.
Answer:
Person above is right, i took this test.
Step-by-step explanation:
help with unknown angle measure (view image linked)
Answer:
X=25
Y=25
Z=115
Step-by-step explanation:
Find the value of x. Show your work congruent triangles
Answer:
x = 8
Step-by-step explanation:
We have a given triangle with two interior angles which are x + 23 and 80°. The third angle of the triangle would be equal to 4x + 17. This is because vertical angles are congruent.
Thus:
(x + 23) + 80 + (4x + 17) = 180
x + 23 + 80 + 4x + 17 = 180
5x + 120 = 180
Subtract - 120 both sides
5x = 180 - 120
5x = 40
Divide both sides by 5
x = 8
Work out the size of angle
X.
50°
120°
9. Deanne works in a shoe factory. She packs
pairs of tennis shoes and pairs of boots in
boxes to ship to shoe stores. The tennis shoes
weigh 2 pounds and boots weigh 5 pounds.
Each box can weigh a total of 50 pounds.
( explanations are mucho appreciated:) )
a. Assuming x represents the number of pairs
of tennis shoes and y represents the
number of pairs of boots, write an equation
to represent the situation.
b. What is the x-intercept, and what does it
represent?
c. What is the y-intercept, and what does it
represent?
Answer:
a. 2x+5y=50
b. (25,0), the number of tennis shoes needed to weigh 50 pounds.
c.(0,10), the number of boots needed to weigh 50 pounds.
Step-by-step explanation:
a. Weight times number is what we are looking for to add up to the total weight of the shoes
b. set to y to 0
c. set x to 0
Factor 24j-1624j−1624, j, minus, 16 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
8(3j-2)8(3j−2)8, left parenthesis, 3, j, minus, 2, right parenthesis
(Choice B)
B
6(4j-2j)6(4j−2j)6, left parenthesis, 4, j, minus, 2, j, right parenthesis
(Choice C, Checked)
C
4(6j-4)4(6j−4)4, left parenthesis, 6, j, minus, 4, right parenthesis
(Choice D)
D
2(12-8)2(12−8)
Answer:
A and C
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
Write 119,000,003 in two other forms
Answer:
119000000+3
0.119000003*10^9
I almost cry please help. Q:Two signs are on a street. One blinks every 10 s and the other every 6 s. How many times per minute do they blink together? (The answer is twice and why please show how you find out the answer is twice)
Answer:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 80,
So twice
Step-by-step explanation:
What else do you need but that ^
Answer:
Step-by-step explanation:
if one blinks every 10 seconds it means that it blinks 6 times in one minute
60/10=6
the other one blinks every 6 seconds
60/6=10 blinks ten times
first one blinks: 10,20,30,40,50,60
second one blinks:6,12,18,24,30,36,42,48,54,60
is like finding GCM
common number are 30 and 60
hence- twice
In a group of 60 children, 28 are enrolled in a summer swimming program, 20 signed up for soccer
and 6 are in both. If a child is selected from those enrolled in swimming, what is the probability that the child is signed up for soccer?
plss HELPP!!!