Answer:
See below
Step-by-step explanation:
Part IWhen x ≤ 40, the equation is
y = 12xPart IIWhen x > 40
y = 12*40 + 24(x - 40) ⇒ y = 24x - 960 + 480 ⇒y = 24x - 480Part III[tex]y = \left \{ {12x, if x < or = 40 \atop {24x - 480, if x>40}} \right. \\[/tex]
Part IVThe graph is attached
What is the probability of rolling at least one six on a pair of fair
dice?
It is a 67% percent chance.
3x²+5x-10=0 find the values of a,b and c
Answer:
a = 3
b = 5
c = -10
Step-by-step explanation:
ax^2+bx+c
Identify the independent variable (domain).
5x+2y= 150
Answer:
The independent variable is x
Step-by-step explanation:
In the equation y = m x + b
m is the rate of change ⇒ constantb is the initial value ⇒ constantx is the domain ⇒ inputy is the range ⇒ outputx is the independent variable because it does not depend on any value
y is the dependent variable because it depends on the value of x
Let us solve the question
∵ 5x + 2y = 150
→ Put it in the form above by subtracting 5x from both sides
∵ 5x - 5x + 2y = 150 - 5x
∴ 2y = 150 - 5x
→ Divide each term by 2 to make the coefficient of y equal 1
∴ y = 75 - 2.5x
∴ y = -2.5x + 75
→ Compare is by the form above
∴ m = -2.5 and b = 75
∴ x is the independent variable (domain)
∴ y is the dependent variable (range)
5 and 2/3 divided by 4?
Answer:
1.41 it’s a infinity answer
Step-by-step explanation:
Evaluate each value expression for the given value of the variable : x+x+5 when x=7
QUICK PLSSSSSS
Answer:
19
Step-by-step explanation:
x = 7, so we have:
7 + 7 = 14
14 + 5 = 19
Answer:
19
Step-by-step explanation:
you replace the x with a seven. so it will look like
7+7+5= 19
which set of the numbers is equivalent to 75%? (0.75 3/5), (7.5 75/100), (3/4 0.075), (15/20 0.75)
Answer:
0.75
Step-by-step explanation:
it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)
Answer:
75.0
Step-by-step explanation:
What is the equation of the line that passes through the points (4, 5) and (7, 3)
Answer:
y = -2/3x + 23/3
Step-by-step explanation:
Let equation of the line be y = mx + c
m = (3-5)/(7-4) = -2/3 gradient/slope formula
sub (4, 5)
5 = -2/3 (4) + c
c = 23/3
therefore, equation of the line is y = -2/3x + 23/3
Hope it helps! :)
This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)
What is 15% of 140? A.2,100 B.30 C.21 D.119
Answer:
21
Step-by-step explanation:
u do 140 divided by .15
2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)
Answer:
Step-by-step explanation:
2x-3y=4 x+3y=29
Hmmm I got (11,6) and I did it two different ways. Are these the only answers?
Answer:
(11, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
2x - 3y = 4
x + 3y = 29
Step 2: Rewrite systems
2x - 3y = 4
x = 29 - 3y
Step 3: Solve for y
Substitute in x: 2(29 - 3y) - 3y = 4Distribute 2: 58 - 6y - 3y = 4Combine like terms: 58 - 9y = 4Isolate y term: -9y = -54Isolate y: y = 6Step 4: Solve for x
Define: x + 3y = 29Substitute in y: x + 3(6) = 29Multiply: x + 18 = 29Isolate x: x = 11Step 5: Check
Graph the systems of equations to verify the solution set.
Which ordered pair is a solution of the equation -4x + 7 = 2y - 3
Answer:
(0,5) (1,3) (2,1)
Step-by-step explanation:
Is 2.88 rational or irrational
Answer:
rational
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← where a and b are integers
Given
2.88
= 2 [tex]\frac{88}{100}[/tex]
= [tex]\frac{2(100)+88}{100}[/tex]
= [tex]\frac{288}{100}[/tex] ← in rational form
Answer:
2.88 is a rational number.
Step-by-step explanation:
A rational number is a number that can be expressed as a ratio or fraction. Since we can write 2.88 as a fraction, (72/25) we know that it is a rational number.
Other examples of rational numbers include:
-4
8
9/3
8.28
8.999999999...
what are the solutions of the following system?
[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]
Step-by-step explanation:
x-2y=-6 ...(1)
-2x+4y=-3 ...(2)
Multiply equation (1) by 2
So,
2x-4y=-12 ...(3)
Now add equation (2) and (3).
-2x+4y + 2x-4y = -3+(-12)
0=-15
It means that there is no solution of the given equations.
A phone company charges a base fee of $25 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: C=25+ a·m/4, where a is the additional charge per minute, and m is the number of minutes used. How can we re-write this equation to solve for the additional charge per minute?
PLZ HURRY
Answer:
C=25+(a*m)
just simplyfy what it was doing
Oliver earns $4 a day for 7 days for doing chores. Each day, his mom takes $2 and put it into a savings account for Oliver. How much money does Oliver get to keep after 7 days?
Answer:
$14
Step-by-step explanation:
Oliver earnings per day = $4
Each day, his mom takes $2 and put it into a savings account for Oliver
His savings per day = $2
Oliver's total savings after 7 days = savings per day × 7 days
= $2 × 7
= $14
Oliver gets to keep a total of $14 after 7 days
Graph the equation y= -1/2x
The graph of equation y = - 1/2x is shown in attached image.
We have to given that,
Equation is,
⇒ y = - 1/2x
Since, The equation of line in slope intercept form is,
y = mx + c
Where, m is slope and c in y - intercept.
Here, equation is,
y = - 1/2x
Hence, It is passes through origin.
Therefore, The graph of equation y = - 1/2x is shown in attached image.
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The manufacturers of can of salted mixed nuts state that the ratio of peanuts to other nuts is 6 to 5 . If 414 peanuts are in a can how many other nuts should also be in the can
Answer:
345 other nutsStep-by-step explanation:
Ratio problem, we are going to use the part to all approach
Step one:
given data
the ratio of peanuts to other nuts is 6 to 5
otherwise expressed as 6:5
the total ratio is 6+5= 11
the total number of peanut is 414
let the other nuts be x
6/5=414/x
cross multiply we have
414*5= 6x
2070=6x
divide both sides by 6
x=2070/6
x=345
345 other nuts
Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover
Answer:
He can make 4 batches of sugar cookies.
Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left
Jackie rode her bike around McAllister Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
Answer:
34.16 Miles Traveled
Step-by-step explanation:
If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!
The selling price of an item is $480. It is marked down by 10%, but this sale price is still marked up from the cost of $. Find the markup from cost to sale price.
Answer:
Markup = [(Revenue – COGS) / COGS] X 100.
Markup = (Gross Profit / COGS) X 100.
Markup = [(Revenue – COGS) / COGS] X 100.
Markup = [($400 – $250) / $250] X 100.
Selling Price = [(Markup X COGS) + COGS] X 100.
Selling Price = (Markup X COGS) + COGS.
Selling Price = (0.50 X $100) + $100.
Step-by-step explanation:
um i think this is the answer
Answer: can someone help with my question really need help its a test.
Step-by-step explanation:
9999999
PLEASE HURRY!! Will give brainly
Find the slope and y intercept for y = 3x - 2.
find y when y = 3x^2 -2x+5 and x = -1
Answer:
the answer is y=10
Express the recurring decimal 0.56 (Just the 6 is recurring) in its simplest form.
Answer:
17/30 17 over 30
Step-by-step explanation:
Answer:
17/30
Step-by-step explanation:
All 3 marks are awarded if for maths watch
If done like the following;
x = 17/30
help! i'm not sure how do this so if someone can explain that would be nice :)
Answer:
In slope intercept form it would be y=-1/2x+3
Step-by-step explanation:
THIS IS AN EXAMPLE ON HOW TO GET SLOPE INTERCEPT FORM. start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.
Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each
day?
Answer:
20%
Step-by-step explanation:
On a map, the distance between NY and Washington D.C. is 3.6 inches. The scale is 1 inch: 55 miles. What is the actual distance between the two cities?
Secant and Tangent Angles in circles.
Solve for x.
Answer:
x = 1
Step-by-step explanation:
5x + 17 = 1/2[(73x + 5) - (23x - 5)]
5x + 17 = 1/2[37x + 5 - 23x + 5]
5x + 17 = 1/2[14x + 10]
5x + 17 = 1/2 * 2(7x + 5)
5x + 17 = 7x + 5
5x - 17x = 5 - 17
-12x = - 12
x = - 12/-12
x = 1
A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,
∠WVU = (arc WU + arc WU)/2
5x + 17 = [(37x + 5) + (23x - 5)]/2
2(5x + 17) = (37x + 5) + (23x - 5)
10x + 34 = 37x + 5 + 23x - 5
10x - 37x - 23x = 5 - 5 - 34
-50x = -34
x = 34/50
x = 17/25
Hence, the value of x is 17/25.
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Kathryn owns a video store. She rents games for 4 and moves for 4 She must rent at least 84 to make a profit She does not have anymore than 20 games Write and solve the system
Answer:
Katherine will rent at least 64 movies and 20 games to make a profit
Step-by-step explanation:
The given parameters are;
The amount for which she rents games = 4
The amount for which she rents movies = 4
The number of games and movies she most rent to make profit = 84
The number of games she ≤ 20
Let x represent the number of games, let y represents the number movies, we have;
x + y ≥ 84
x ≤ 20
64 ≤ y ≤ 84
The graph of the inequality created with Microsoft Excel showing the feasible region is included
There were 12 girls 9n the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of the girls on the team that scored over 10 points on the game?
Answer:
1/4
Step-by-step explanation:
i know
Evaluate: 5m when m=8
FAST AND HURRY!!
Answer:
40
Step-by-step explanation:
If m = 8, then you would multiply 5 by 8
So the answer is 40
Hope this helps :)
Answer:
5m when m = 8 is 40
Step-by-step explanation:
When you substitute (replace) m with 8, it becomes 5(8).
5(8) means 5 multiplied by 8, which gives you 40.
To check, dividing 40 by 5 is 8. Dividing 40 by 8 is 5.
Hope this helped! :)
in order to solve for x which trig function would be used cosine sine or tangent
Answer:
Cosine
Step-by-step explanation:
I took the test
In order to solve for x , we use the trigonometric function cosine
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔABC , where ∠B = 90°
Let the side AB be x
So , the adjacent side = x
The angle of the triangle ∠A is = 72°
So , θ = 72°
The hypotenuse AC = 8
And , by trigonometric relations , we get
cos θ = adjacent / hypotenuse
Substituting the values in the equations , we get
cos 72° = x / 8
Multiply by 8 on both sides , we get
x = cos 72° × 8
Now , cos 72° = 0.30901
Substituting the value of cos 72° , we get
x = 0.30901 × 8
x = 2.472
Hence , the value of x is determined by cosine function
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