Answer:
x=19/4
Step-by-step explanation:
The product of 5 and a number x is 1/4
A lady has 30 oatmeal cookies and 48 chocolate chip cookies. She wants to put them in a container contains the cookies equal. What is the maximum amount containers. Used
Answer:
78 i think
Step-by-step explanation:
what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
Write the equation for the line that is parallel to the given line and that contains
the given point. Use the point-slope form of the equation of a line.*
(-3,4) y=-x-11
Answer:
x + y - 1 = 0
Step-by-step explanation:
y = -x - 11
therefore its slope is -1
x1= -3
y1 = 4
m = -1
from, y - y1 = m(x -x1)
y - 4 = -1(x + 3)
y -4 = -x -3
x + y -1 = 0
A real estate agent earns a 6% commission on each property she sells. If she sells a detached house for $200,000 and a cottage for $180,000, how much commission will she earn?
A.
$10,800
B.
$20,000
C.
$12,000
D.
$22,800
Solve the system of equations.
2.5y + 3x = 27
5x – 2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?
Answer:
8x = 32
x = 4
y = 6
Step-by-step explanation:
2.5y + 3x = 27
5x – 2.5y = 5
_____________
8x = 32 (equation obtained after adding the two equations)
x = 32/8
x = 4
Plug x = 4 in 2.5y + 3x = 27
2.5y + 3*4 = 27
2.5y + 12 = 27
2.5y = 27 - 12
2.y5= 15
y = 15/2.5
y = 6
The equation results of adding the two equations is 8x = 32.
The solution to the system is (4, 6).
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, A system of linear equations in variables 'x' and 'y'.
2.5y + 3x = 27...(i) and 5x - 2.5y = 5...(ii)'
Reaaranging eqn(i) we have
3x + 2.5y = 27...(iii)
Adding (ii) and (ii) we have,
8x = 32. (As + 2.5y and - 2.5y cancels)
x = 32/8.
x = 4.
Putting the value of 'x' in eqn(i) we have,
2.5y + 12 = 27.
2.5y = 15.
y = 6.
So, The solution to the system is (4, 6).
learn more about linear equations here :
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what is the inverse of the function f(x)=2x^2-3
A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
£20
Step-by-step explanation:
Given that:
Total amount alloted = 2000
Ticket cost = 32
Discount = 1/4 off
Hence, ticket price = 3/4 * 32 = 24
Train ticket cost = 12
Total cost per person = £(12 + 24) = £36
Hence, alloted amount / cost per person
= £2000 / £36
= 55.55
Total number that can attend = 2 teachers and 53 students
Change = £2000 - (£36*55)
= £20
Question 1:
Solve for k :
Answer:
Step-by-step explanation:
Equation:
-3k = 108
We need to separate -3 from k. So we must do the inverse operation.
Divide both sides by -3
k = -36
Hope this helps :)
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2. What are the slope and y-intercept of the
line described by y = 3x - 6?
Answer:
If your trying to find the slope and y-int of that equation:
Slope: 3
y-int: (0, -6)
A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?
Answer:
The rabbit is faster, as it has a speed of 44 mph.
Step-by-step explanation:
Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.
In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.
Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.
You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?
Answer:
$7.84 more
Step-by-step explanation:
To find how much more you spent on dog food, find the difference between the two prices:
12.59 - 4.75
= 7.84
So, you spent $7.84 more on the dog food
Find (g-)(x).
f(x)=1/x
g(x) = x^2+ 2x-5
Answer:
C. x^2+ 2x-5 - 1/xStep-by-step explanation:
Givenf(x)=1/x g(x) = x^2+ 2x-5To find(g-f)(x)Solution(g-f)(x) = g(x) - f(x) =x^2+ 2x-5 - 1/xCorrect one is C
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
Find the distance from point A(−14, 5) to the line −x+2y = 14.
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
[tex]-x+2y= 14[/tex]
And the point is:
[tex]A = (x_1,y_1) = (-14,5)[/tex]
The standard form of equation of line is:
[tex]Ax+By+C = 0[/tex]
Converting the given equation into standard form
[tex]-x+2y-14=0[/tex]
The distance of a point (x1,y1) from a line is given by the formula:
[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]
Hence,
The distance from point A to given line is: 2√5 or 4.472 units
A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.
Answer:
[tex]y=1.25x+1.5[/tex]
Step-by-step explanation:
Step one:
given data
let the manufacturing cost of the video game be x
25% of x
=25/100*x
=0.25x
the new price of the video game will be
=0.25x+x
=$1.25x
cost of shipping is given as $1.5
let the total cost of producing a video game be y
The expression for the total cost of one video game is given as
[tex]y=1.25x+1.5[/tex]
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
it takes Ryan 1/5 hour to bike home from school. his biking speed is 10 mph
how far apart are the school and his house
Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to
$
15.95
plus a tax of
$
1.17
. He gave the waitress a $20 bill and two dimes.
How much change will Cody get back?
Answer:
2.88
Step-by-step explanation:
You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back
Given that A(2, 1) and B(9, 25) are points on a graph. USE THIS INFORMATION TO ANSWER QUESTIONS 14 TO 16
Find the length of the line joining the two points
Find the gradient of the line joining the two points.
Find the equation of the line drawn from these points
Answer:
required answer:-A (2,1)B (9,25)[tex]{:}\leadsto [/tex][tex]\sf AB=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf \sqrt {(9-2)^2+(25-1)^2}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf \sqrt {(7)^2+(24)^2}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf \sqrt {49+576}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf \sqrt {625}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf AB=25cm [/tex]
Choose true or false for each statement.
Answer:
a:t
b:f
c:f
d:t
e:f
I think
Given the following number line, select all of the true statements.
|a| > |b|
a b
a > b
0 0
Answer:
b
Step-by-step explanation:
7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d
Answer:
doing this in oddseyware rn its is A C D F
mark brainlist
Step-by-step explanation:
Help me with math please
Answer:
B. 1/6
Step-by-step explanation:
What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!
Answer:
11 ; 12°
Step-by-step explanation:
3x + 28 + 2x - 10 + 5x + 52 = 180
10x = 180 - 70
x = 11
m∠C = 2(11) - 10 = 12°
Answer:
Angle ACB = 12°
Step-by-step explanation:
All angles in a triangle always add up to 180°, which gives us an equation to solve for x:
3x + 28 + 5x + 52 + 2x -10 = 180
Combine like terms
10x + 70 = 180
Subtract 70 from both sides
10x = 110
Divide both sides by 10
x = 11
Now we know the value of x, we need to just plug it in to angle ACB's given value:
2(11) - 10 = Angle ACB
22 - 10 = Angle ACB
12 = Angle ACB
I need it now plzs
Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit of $125, how many t-shirts did he sell?
Answer:
17 t-shirts sold
Step-by-step explanation:
If we assume that we don't need t find the number of hats, then we can say that the profit from -tshirts would be $125 minus 40 or $85
Then we can write the following equation of x is the number of t-shirts:
5x = 85
If we solve by diving both sides of the equation by 5:
5x/5 = 85/5
x = 17 t-shirts sold
Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.
Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.
The answer to this question is 7.404
PLEASEEE ITS EASY ALGEBRA 1 ):
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 > 11
Subtract 7 from both sides
2x/3 > 4
Multiply both sides by 3
2x > 12
Divide both sides by 2
x > 6
6, 7, and 8 are the ones that work
given the slope of the line and one point that it passes through, represent the equation of the line in point-slope form. then rewrite the equation in slope-intercept form.
(-4,1);m=-2/3
Answer:
y=[tex]-\frac{2}{3}[/tex]x[tex]-\frac{5}{3}[/tex]
Step-by-step explanation:
y=mx+c
y= [tex]-\frac{2}{3}[/tex]x+c
substitute (-4;1)
1=-[tex]-\frac{2}{3}[/tex](-4) +c
1-[tex]\frac{8}{3}[/tex]=c
c=[tex]-\frac{5}{3}[/tex]
Answer:
Step-by-step explanation:
answer on edmentum
Select all the comparisons that are correct.
Check all that are true.
0.5 inches > 0.60 inches
0.10 inches
0.1 inches
0.75 inches > 0.6 inches
0.9 inches < 0.85 inches
0.2 inches < 0.28 inches
Answer:
a b e i think
Step-by-step explanation:
what’s the area of this? i really need help....50 points if u help me :)
Answer:
Step-by-step explanation:
We can split this up into 3 shapes.
Using the attached image:
[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]
12(x - 6) = 2(x - 9)
Answer:
Exact form: x = 27/5
Decimal form: x = 5.4
Mixed-number form: x = 5 2/5
Step-by-step explanation:
hope this helps :)