6f - 12 = -4f + 6
Add 4f to both sides.
10f - 12 = 6
Add 12 to both sides.
10f = 18
Divide both sides by 10.
f = 1.8 = 1 4/5
Q # ..19 anybody help me?
The equation of the line with slope m and passing through the point [tex](x_0,y_0)[/tex] is
[tex]y-y_0=m(x-x_0).[/tex]
Since m=6 and the coordinates of the point are (8,3), then the equation is
[tex]y-3=6(x-8).[/tex]
Answer: correct choice is B.
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.
y=6x
When you have a linear equation of the form y = mx, such as this one, you know immediately that the line passes thru the origin (0,0). Were the form y = mx + b, then the y-intercept would be (0,b) and the x-intercept ( [-b/m, 0).
(2y+1.6)/0.8=30/2.5
Please Help!
Solve for Y
y = 4
first note that the right side simplifies to 12, equation can be written
[tex]\frac{2y+1.6}{0.8}[/tex] = 12 ( multiply both sides by 0.8 )
2y + 1.6 = 9.6 ( subtract 1.6 from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Hey there!!
We have:
... (2y+1.6)/0.8 = 30/2.5
... (2y+1.6)/0.8 = 12
Multiplying 0.8 on both sides.
... (2y+1.6) = 12×0.8
... 2y+1.6 = 9.6
Subtracting 1.6 on both sides:
... 2y = 9.6-1.6
... 2y = 8
Dividing by 2 on both sides:
... y = 8/2
... y = 4
Hence, the required answer is 4.
Hope my answer helps
what is the product of all integers between √61 and √101
√61 ≈ 7.8
√101 ≈ 10.05
The integers between these numbers are 8, 9, 10. The product of these is 720.
The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of pages in the tax code and the Bible is 21,472. how many pages are in the bible?
Answer: The number of pages in the U.S. tax code x=20000 and the number of pages in the King James Bible y = 1472
Step-by-step explanation:
Let the number of pages in the U.S. tax code be x and the number of pages in the King James Bible be y.
According to the given problem , we have the following system
x - y = 18528 ..............(1)
x + y = 21472 ..............(2)
Adding (1) and (2) , we get
2x = 18528 +21472 = 40000
⇒ 2x =40000
⇒ x =20000
Putting value of x = 20000 in (2) ,we get
20000 + y =21472
⇒ y = 1472
Ans the number of pages in the U.S. tax code x=20000 and the number of pages in the King James Bible y = 1472
Final answer:
By setting up an equation and solving for B, which represents the number of pages in the Bible, it is determined that the King James Bible has 1,472 pages.
Explanation:
To determine how many pages are in the King James Bible, we need to set up an equation based on the information given in the problem. We know that the number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528 and the combined total of pages in both the tax code and the Bible is 21,472.
Let's let B represent the number of pages in the Bible. Then the number of pages in the U.S. tax code would be B + 18,528. The total number of pages in both is given to be 21,472, so we can write the following equation:
B + (B + 18,528) = 21,472
Simplifying the equation, we get:
2B + 18,528 = 21,472
Subtract 18,528 from both sides to get the number of pages in the Bible:
2B = 2,944
Divide by 2 to solve for B:
B = 1,472
Therefore, the King James Bible has 1,472 pages.
Locating Zeros of Polynomial Function:
Approximate the real zeros of f(x)=x^3-4x+6 to the nearest tenth
-2.5 is the best approximation. Putting this into the equation we get:
-2.5*-2.5*-2.5 -4*-2.5 +6
-15.625 + 10 + 6 = .375
Answer: D or -2.5
Step-by-step explanation:
By using a graphing calculator, we can see that there is only one rational x intercept, -2.525. By simply rounding this value to the nearest tenth we get -2.5
solve 4-6n=8(n+7) distributive propertiy
The distributive property tells you the product is found by multiplying each term inside parentheses by the factor outside.
... 4 -6n = 8n +8·7
... 4 = 14n +56 . . . . . . . add 6n to both sides
... -52 = 14n . . . . . . . . . subtract 56 from both sides
... -52/14 = -26/7 = n . . . divide by 14, reduce the fraction
The solution is ...
... n = -26/7 = -3 5/7
You have $37 when you get to the mall. You need to save $3 for bus fare to get back home. Which inequality represents the amount of money, m, you can spend?
A. 37 - m > 3
B. 3 < m + 37
C. 37 - m ≥ 3
D. m ≤ 37 + 3
The answer is c because the amount of money you have 37 minus the amount you can spend ( at most 34) has to be more than or equal to 3.
Answer:
C. 37 - m ≥ 3
Artie has a book of short stories. the number of each time of short story is shown below. •6 science fiction stories •4 adventure stories • 3 historical stories • 2 sports stories He selects one short story at random. What is the probability that the story Artie selects is either a science fiction story or an adventure story?
Since, there are 6 science fiction stories, 4 adventure stories, 3 historical stories and 2 sport stories.
So, total number of stories = 6+4+3+2 = 15 stories
Probability that Artie selects a science fiction story = [tex]\frac{6}{15}[/tex]
Probability that Artie selects an adventure story = [tex]\frac{4}{15}[/tex]
Probability that story selected is either a science fiction or adventure fiction = P(Science) + P(Adventure)
= [tex]\frac{6}{15} + \frac{4}{15}[/tex]
= [tex]\frac{10}{15}[/tex]
= 0.66
=0.67
Therefore, the probability that the story Artie selects is either a science fiction story or an adventure story is 0.67.
Answer:Probability of selecting either A or B P(A∩B)=2/3.
Step-by-step explanation:
Total number of story books=6+4+3+2=15
Let A be the event of selecting science fiction story
then its probability P(A)=number of science stories/total stories=6/15
Now let B be the event of selecting adventure story P(B)=number of adventure stories/total stories
=4/15
thus Probability of selecting either A or B P(A∩B)=P(A)+P(B)=6/15+4/15=10/15=2/3.
solve this question r+31=2(6r+4) do distribute property PLESE AND THANK YOU
We simplify the equation to the form, which is simple to understand
r+31=-2(6r+4)
Reorder the terms in parentheses
r+31=+(-12r-8)
Remove unnecessary parentheses
+r+31=-12r-8
We move all terms containing r to the left and all other terms to the right.
+1r+12r=-8-31
We simplify left and right side of the equation.
+13r=-39
We divide both sides of the equation by 13 to get r.
r=-3
what is an equation of the line with slope 2 that goes through point (3/2, 6)
a.) y=3x+3
b.)y=2x+3
c.)y=2x-3
d.)y=-3x+2
The answers are in slope-intercept form, so you can see that the slope (coefficient of x) is only correct for choices b and c.
When you substitute x=3/2 into those equations, you find that b gives y=6 (correct) and c gives y=0 (incorrect).
The appropriate choice is ...
... b.) y = 2x+3
Three rectangular tables are placed end to end to form one long table 7.8 meters long. The lengths of two of the tables are 3.5 meters and 1.6 meters. What is the length of the third small table? What type of problem is this, and why? a part-whole problem, because 3.5 is a part of 1.6 a part-whole problem, because the length of the third table is part of the total length of the long table a comparison problem, because 7.8 is being compared to 3.5 a comparison problem, because the question asks how much longer one smaller table is than the other
It's a 3rd grade problem in addition and subtraction, or number lines. As a college-level problem, it might be described as ...
... a part-whole problem, because the length of the third table is part of the total length of the long table
The football team has a total of 20 jerseys. There are 4 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
20%
Step-by-step explanation:
i did it and got it right
the picture is my evidence.
The constraints of a problem are listed below. What are the vertices of the feasible region?
Answer:
The vertices are (0,0), (3,0), (1.5,2) and (0,2.5)
Step-by-step explanation:
We are given the constraints of the problem as,
[tex]4x+3y\leq 12[/tex]
[tex]2x+6y\leq 15[/tex]
[tex]x\geq 0[/tex]
[tex]y\geq 0[/tex]
Using 'Zero Test', which states 'If after substituting (0,0) in the inequalities the result is true, the solution region is towards the origin and if the result is false, the solution region is away from the origin'
So, after plotting the graph, we see that,
The end-points of the feasible region are given by,
(0,0), (3,0), (1.5,2) and (0,2.5)
Answer:
A (0, 0), (0, 2.5), (1.5, 2), (3, 0)
Step-by-step explanation:
edg 2022
Nayan Patel purchases a compact vehicle with an MSRP of $17,980.00, including the destination charge and title fee. He selects a 4-way power front passenger seat, which costs 8 times the amount of remote keyless entry. The total cost of the compact vehicle, including a 7.2% sales tax, is $20,000.00. Find the cost of the remote keyless entry.
A $676.71
B $150.38
C $601.53
D $75.19
Answer:
$75.19
Step-by-step explanation:
Let 'x' be the cost of remote keyless entry.
And [tex]8x[/tex] be the cost of 4-way power front passenger seat.
Total cost = destination charge + title fee + taxes
So we have the equation:
[tex]20,000 = (17,980+x+8x)+0.072(17,980+x+8x)[/tex]
Now solving for 'x', we get:
[tex]20,000 = (17,980+9x)+0.072(17,980+9x)[/tex]
[tex]20,000=17,980+9x+1294.56+0.648x[/tex]
[tex]20,000=19274.56+9.648x[/tex]
[tex]725.44=9.648x[/tex]
[tex]x=\frac{725.44}{9.648} =75.19[/tex]
Therefore, the cost of remote keyless entry is $75.19.
Answer:
$601.53
Step-by-step explanation:
just do what the person did but all they forgot to do was to multiple for the "8 times" so take 75.19*8 to get 601.53.
4 - x = 11 - 8
how to find the x number
Let's solve your equation step-by-step.
4−x=11−8
Step 1: Simplify both sides of the equation.
4−x=11−8
4+−x=11+−8
−x+4=(11+−8)(Combine Like Terms)
−x+4=3
−x+4=3
Step 2: Subtract 4 from both sides.
−x+4−4=3−4
−x=−1
Step 3: Divide both sides by -1.
−x /-1=-1/-1
x=1
Answer:
x=1
A hybrid car can get 54 mpg when traveling at an average speed of 30 mph. You travel in this car at that speed for 45 miles to your grandparents’ house. Gas at your nearest station cost $3.23. Use this information to complete the statements. It will take________ Hours to get to your grandparents’ house. Your car will use______gallons of gas on the trip. You will spend________on gas for the trip.
A) The time to travel 45 miles at a speed of 30 mph can be found from ...
... time = distance / speed
... time = (45 mi)/(30 mi/h) = 3/2 h = 1 hr 30 min
B) The gas consumption can be found from ...
... (45 mi)/(54 mi/gal) = 5/6 gal
C) The cost of gas can be found from ...
... ($3.23/gal)×(5/6 gal) ≈ $2.69
For a 45 miles trip at 30 mph, it would take about 1.5 hours in a hybrid car that gets 54 mpg. It would use approximately 0.833 gallons of gas, costing about $2.69.
Explanation:To solve this, we'll need to employ some basic math concepts. Starting off with the time it will take to get to your grandparents' house, you'll use the formula distance = speed x time. Given the speed is 30 mph and you're traveling 45 miles, that will be 45 miles / 30 mph = 1.5 hours.
Next, for the gallons of gas used on the trip, we'll use the car's mileage i.e., 54 miles per gallon. Hence, for a 45-mile trip, we have 45 miles / 54 mpg = 0.833 gallons of gas.
Finally, for the total cost of the trip, we'll multiply the amount of gas needed by the price per gallon. So, it will be 0.833 gallons x $3.23/gallon = $2.69. Thus the round trip will cost approximately $2.69 in gas.
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I need help with these
1. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
2. c= 90-40= 50 (vertically opposite angles)
b=a=360-90-90=180/2=90 (angles at a point)
3. a= 180-52-51= 77 (angles on a straight line)
b=52 (angles at a point)
d=51 (angles at a point)
c=77 (angles at a point)
4. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
e=65
d=f= 360-65-65=230/2=115
h=55
i=g=360-55-55=250/2=125
5. b=163
a=90
e=70
d=360-70-70=220/2=110
c=360-163-163=34/2=17
Hope this helps!
Ok... so I failed my math test because I wasnt at school for a week and didn't know anything....
Here is the question: 5^-8 x 5^4
find an equation of the circle whose diameter has endpoints (3,5) and (3,-4)
The diameter is a vertical line (x=3) and is of length 9 (= 5-(-4)). The radius is half the diameter (so is 4.5), and the center is 4.5 units above the bottom end of the diameter, so is at (3, 0.5). The square of the radius will be 4.5² = 20.25.
A circle with center (h, k) and radius r has formula
... (x -h)² +(y -k)² = r²
The equation of this circle can be written as
... (x -3)² +(y -0.5)² = 20.25
Jerrica is selling calendars to raise money for a community group she belongs to. A basic calendar sells for $10 and a deluxe calendar sells for $15. The number of deluxe calendars Jerrica sells must be greater than or equal to 3 times the number of basic calendars she sells. She has at most 72 calendars to sell. The number of basic calendars sold is represented by x and the number of deluxe calendars sold is represented by y. What is the maximum revenue she can make?
A. $810
B. $990
C. $1080
D. $1296
The correct answer is option B.
Let the basic calendars be = x
Let the deluxe calendars be = y
Total calendars are = 72 , so equation becomes:
[tex]x+y=72[/tex] .............(1)
Cost of 1 basic calendar = $10
So, cost of all basic calendars will be = 10x
Cost if 1 deluxe calendar = $15
So, cost of all deluxe calendars = 15y
As given, the number of deluxe calendars must be greater than or equal to 3 times the number of basic calendars, the equation becomes
y=3x ...............(2)
Putting the value of y from (2) in (1)
[tex]x+y=72[/tex]
[tex]x+3x=72[/tex]
[tex]4x=72[/tex]
x=18
As, y=3x
y=[tex]3\times18=54[/tex]
So we have 18 basic calendars and 54 deluxe calendars.
Cost of 18 basic calendars will be= [tex]18\times10=180[/tex]
Cost of 54 deluxe calendars will be = [tex]54\times15=810[/tex]
So total amount is = $990
Hence, the maximum revenue is $990.
Answer:
The CORRECT answer is $1080
Step-by-step explanation:
Your answer would be choice C
Plz help with geometry question is below
Answer:
a
Step-by-step explanation:
What is 2.394 * 7.489
Answer: The answer is 17.87. However the answer including all the numbers you put in your question is 17.92. I used only the first 2 numbers after the decimal point.
Step-by-step explanation: Consider how many numbers are behind the decimal points as they will help you know where to put the decimal point in your answer.
Hope this helps!
Jack drives an 18 wheeler. The truck's gas tank holds 105 gallons of gasoline. The driver begins the trip with a full tank. At his first stop his tank is 65% full. How much gasoline did he use?
Jack drives an 18 wheeler. The truck's gas tank holds 105 gallons of gasoline. The driver begins the trip with a full tank.
Tank holds 105 gallons
65% of gasoline is 0.65 * 105 = 68.25
so 68.25 gallons left in the tank
Tank holds 105 gallons and left out with 68.25 gallons
So gasoline used = 105 - 68.25= 36.75
36.75 gallons of gasoline used
Q#1 please help t o resolve
Answer: option. y=-1.33x; 2.67
Solution:
If y varies directly with x, the relation between y and x is:
y=kx
where k is a constant of proporcionality.
We know y=8 when x=-6. Replacing these values in the equation above:
8=k(-6)
8=-6k
Solving for k: Dividing both sides of the equation by -6:
8/(-6)=-6k/(-6)
-1.33=k
k=-1.33
Then the relation between y and x is:
y=kx→y=-1.33x
What is the value of y when x=-2?
Replacing x by -2 in the formula:
y=-1.33x→y=-1.33(-2)→y=2.66
Q# ..7 match the equation with its graph -4x - 2y =8
If you divide by 8, you can put the equation into intercept form. That form is ...
... x/a + y/b = 1
where a and b are the x- and y-intercepts, respectively.
Here, your equation would be
... x/(-2) + y/(-4) = 0
The graph with those intercepts is not shown with your problem statement here. See the attachment for the graph.
find the distance between 2 3/5 and -1 on a number line
Answer:
The distance between these two is 3 3/5
Step-by-step explanation:
In order to find the distance between two points, we subtract one from the other. Then if the result is negative, we take the absolute value.
2 3/5 - -1
2 3/5 + 1
3 3/5
calculate 51degree 29munites+32degree 46munites
51° 29' + 32° 46' = (51+32)° (29+46)'
= 83° 75' . . . . . there are 60' in 1°, so 75' = 1° + 15'
= 84° 15'
There are 14 more girls than boys in the school orchestra.There are 19 boys.How many students are in the school orchestra
THere are 52 students because there is 19 boys and 14 more girls than guys which means 19 + 19 + 14
There are 14 more girls than the 19 boys in the school orchestra, so there are 33 girls. Adding 33 girls and 19 boys, we find there are 52 students in the orchestra.
Explanation:This question falls under the category of simple addition in mathematics. We are given there are 19 boys in the school orchestra and there are 14 more girls than the boys. To find out the total number of students, we add the number of boys to the number of girls.
First, understand that if there are 14 more girls than boys, the number of girls will be 19 (boys) + 14 = 33 girls. Next, adding the number of boys and girls together would give you 19 (boys) + 33 (girls) = 52 students. Hence, there are total 52 students in the school orchestra.
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Help Dana find the sum 346 421 152
For numbers 13a-13d, select yes or no to tell Dana when to regroup
Dana wants to find the sum
3 4 6
4 2 1
+1 5 2
________
We will not regroup this ones place because the sum of the digits in the ones place is not up to. It's just 6+1+2 = 9.
Therefore, 13a) No.
There is no regrouped tens to add, so we would not able to regroup the ones place.
Therefore, 13b) No.
We regroup the tens place because the sum of the digits in the ones place is upto to 10.
And 13c) Yes.
We add the regrouped hundred as we regrouped the ones place.
Therefore,
13 D) Yes.