Answer:
There will be 5 roses.
Step-by-step explanation:
Let r = the number of roses.
Total cost =
numberof Roses × price per rose AND cost of vase
Total at Kingwood's
= 1r + 20
Total at Anita's
= 3r + 10
We are looking for r (the number of roses) when the totals at either place are the same.
Set them equal to each other.
1r + 20 = 3r + 10
Subtract 1r.
20 = 2r + 10
Subtract 10.
10 = 2r
Divide by 2.
10/2 = r
5 = r
When Elijah buys 5 roses, the cost is the same at either florist.
Check:
at Kingwood's
= 1r + 20
= 1(5) + 20
=25
At Anita's
= 3r + 10
= 3(5) + 10
= 15 + 10
= 25
5 roses costs $25 at either florist.
11-(-2)x4 step by step pls my hm is due tmr
Answer:
Step-by-step explanation:
11 -(-2) x 4
11 + 2 x 4
11 +8
= 19
. If Mario was 32 years old 8 years ago, how old was he x years ago?
Answer: He was 32 years old 8 years ago, than a) x-40 b) x-24 c) 40-x d) 24-x e) 24+x
Step-by-step explanation:
Mario was '40 - x' years old when he was 'x' years old.
If he was 32 years old, 8 years ago, then he is 40 now as (32+8) equals 40.
If he is 40 years old now, then he was '40 - x', x years ago.
Hence, '40 - x' is the answer to this sum.
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I really need help on this asap
Answer:
well, both the domain, and the range can have a positive and/or negative infinity, but as long as the 2nd factor is an opposite symbol then you will have a correct answer, for instance, -infinity, and 2 could work, but if the 2 was negative then there would be a problem
Step-by-step explanation:
What's the inverse of ƒ(x) = x – 20?
Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20
What is the inverse symbol?A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.
Here,
Solve for y.
Replace y by f-1(x).
y=x-20
x=y-20
Solve for y,x = y-20
x+20
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Answer:
ƒ^(-1)(x) = x + 20
Step-by-step explanation:
To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.
Let's start by replacing ƒ(x) with y:
y = x - 20
Next, swap x and y:
x = y - 20
Now, solve for y by isolating it:
x + 20 = y
Therefore, the inverse of the function ƒ(x) = x - 20 is given by:
ƒ^(-1)(x) = x + 20
A rectangle with an area of 5050 units^2
2
is the image of a rectangle that was dilated by a scale factor of \frac{1}{3}
3
1
. Find the area of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.
Dilation is a type of transformation that enlarges or shrinks shapes (called archetypes) to create new shapes (called images). Archetype area is 5050 [tex]unit^2[/tex] * 3 = 15,150 [tex]unit^2[/tex]
How can I inflate my model?Add the square of the scaling factor s to the area of the figure before stretching Ap. In other words, the equation Ad = s2Ap gives the area of the figure after dilation Ad. a d = s2a p .
To find the archetype area, we need to undo the applied stretch. Since the stretch factor was 1/3, we can undo it by multiplying the image area by the inverse of the scale factor (1/1/3 = 3). So the area of the archetype is 5050 [tex]unit^2[/tex] * 3 = 15,150.[tex]unit^2[/tex]
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Simplify to a single trig function
On solving the provided question we can say that - the value of the trignometric function will be -cos(t)+2cosec(t)
what is trigonometry?The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.
here,
(sint(t) + cos(t))[tex]^{2}[/tex] =(sint +cost)(sint - cost)
=| -cos(t)+2cosec(t) |
= -cos(t)+2cosec(t)
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You are a post person and deliver 40 letters an hour. You start at 6:45 and have 100 to deliver before your break. What time is your break?
Answer:
9:15
Step-by-step explanation:
Time needed to deliver 100 letters: 100 : 40 = 2,5 hours = 2:30min
Your break: 6:45 + 2:30 = 9:15
Laura and Shelby ordered pizzas and chips. Lara ordered 5 pizzas and 2 bags of chips and paid $55. Shelby ordered 10 pizzas and 4 bags of chips and paid $95. How much would 1 pizza and 1 bag of chips cost?
Cannot be determined.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here 5 pizzas and 2 bags of chips cost $55 and 10 pizzas and 4 bags of chips cost $95
let the cost of one pizza be p and a bag of chips be c then we construct the following linear equations:
5p+2c=55
10p+4c=95
Clearly the equations are colinear but 10p+4c≠110=1(5p+2c0
and thus two lines don't have a unique solution.
Hence, the cost cannot be determined as the two equations have no solution in common.
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a ball is thrown from the top row of seats in a stadium the function h(t)=-16t^2+80t+96 gives the height, in feet, of the ball t seconds after it is thrown. how long will it be before the ball hits the ground?
The number of seconds it takes ball to before hit the ground is 6 seconds.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, a ball is thrown from the top row of seats in a stadium the function h(t)=-16t²+80t+96 gives the height, in feet, of the ball t seconds after it is thrown.
When ball hits the ground h=0
So, -16t²+80t+96=0
-16(t²-5t-6)=0
t²-5t-6=0
By using splitting middle term method, we get
t²-6t+1t-6=0
t(t-6)+1(t-6)=0
t-6=0 or t+1=0
t=6 or t=-1
Time can not be negative integer.
Therefore, the number of seconds it takes ball to before hit the ground is 6 seconds.
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It snowed 3 inches each day for a week. By
the next Monday, 6 inches had melted away.
How many inches of snow were still on the
ground?
Answer:
3 × 7 = 21
21 - 6 = 15
15 is the answer
Question 4
Solve the equation x² - 4x+6=0 by completing the square.
BIUX² X₂ 15px help!!
After completing the square, the solution of equation are,
⇒ x = (2 + √2i)
And, x = 2 - √2i
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ x² - 4x + 6 = 0
Completing the square as;
⇒ x² - 4x + 6 = 0
⇒ x² - 4x + 4 + 2 = 0
⇒ (x - 2)² + 2 = 0
⇒ (x - 2)² - (√2i)² = 0
⇒ (x - 2 - √2i) (x - 2 + √2i) = 0
This gives two complex solution as;
⇒ x = (2 + √2i)
And, x = 2 - √2i
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Given csc 0=17/15, determine the values for “a” and “b” in cos 0=a/b
If cosec (tetha) = 17/15 then cos (tetha) = 8/17
What are trigonometry ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
cosec , sine, cotangent, cosine , secant and tangent are trigonometry function.
cosec( tetha) = 1/sin(tetha)
tangent (tetha) = 1/ cot ( tetha)
sec (tetha) = 1/ cos(tetha)
cosec (tetha) = 17/15
therefore 1/sin ( tetha) = 17/15
sin( tetha ) = 15/17 = opp/ hyp
therefore using Pythagoras theorem adj² = 17²-15²
adj² = 289-225
adj² = 64
adj = √64 = 8
cos ( tetha) = adj/hyp
therefore cos ( tetha) = 8/17
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What number is increased by 3 is equal to 16 decreased by 3
Answer:
The answer is 10.
16 - 3 = 13
10 + 3 = 13
Answer:
10
Step-by-step explanation:
Here,10+3=13
and,16-3=13
is a measure of behaviors by producers and consumers in response to changes in price.
Answer: The statement you've provided describes the economic concept of elasticity. Elasticity is a measure of how responsive the quantity demanded or supplied of a good or service is to a change in its price. It measures the responsiveness of the consumers' and producers' behaviors to changes in price, in other words, how sensitive the consumers or producers are to changes in the good or service prices.
There are different types of elasticity, such as price elasticity of demand and price elasticity of supply. Price elasticity of demand measures how much the quantity demanded of a good changes in response to a change in its price. If a good has a high price elasticity of demand, then a small change in its price will result in a large change in the quantity demanded of the good. On the other hand, price elasticity of supply measures how much the quantity supplied of a good changes in response to a change in its price. A good with a high price elasticity of supply will see a large increase in the quantity supplied in response to a small price increase.
Elasticity is a very important concept in economics because it helps to understand how consumers and producers will react to changes in prices and how it would affect the overall economy.
Step-by-step explanation:
guys please help its due today!
a) Let x be the number of games played and let y be the total price.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
(b)
Pin Lanes: y = 10 + 3x
Strike Lanes: y = 4 + 6x
(c) To find the number of games at which the total price is the same at both places, we can set the two equations equal to each other and solve for x:
10 + 3x = 4 + 6x
6x = 6
x = 1
So the total price would be the same if you played 1 game at both Pin Lanes and Strike Lanes.
(d) Since you want to play 4 games, you can substitute x = 4 into the equation for each place:
Pin Lanes: y = 10 + 3(4) = 22
Strike Lanes: y = 4 + 6(4) = 28
Since 4 games at Pin Lanes costs $22 and 4 games at Strike Lanes costs $28, it would be cheaper to play at Pin Lanes.
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The volume of a cylinder is 1,200 yd^3 if it’s height is multiplied by 1/4, what will be the new volume of the cylinder?
Therefore , the solution of the given problem of volume comes out to be
you would then possess 1/9 of the volume.
What is volume used for?The term "volume" refers to how much general space an object occupies. Unlike mass, volume changes depending on the surroundings. The mass of a substance in a given volume is referred to as its "density." It describes the relationship between mass and volume.
Here,
A cylinder has a volume of V = r2h.
As a result, V = r2[(1/3)]h is obtained by multiplying h by 1/3.
The (1/3) can be moved to the front to obtain V = [(1/3)]r2h because you are free to multiplied in any ratio you choose.
Thus, you would receive one-third of the initial mass.
What would occur if you increased the radius by 1/3 in contrast to this?
Next, you would have
=> V = π[(1/3)r]2h
=> V = π(1/9)r2h
=> V = (1/9)πr2h
You would then possess 1/9 of the volume.
Therefore , the solution of the given problem of volume comes out to be
you would then possess 1/9 of the volume.
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Prove that limx→2. 1/1-x= -1 using the definition of limit .
Answer:
1332
[tex]7x))742 \sqrt[ \sqrt[241]{?} ]{?} [/tex]
Answer:
Refer to the step-by-step.
Step-by-step explanation:
[tex]Given:\\ \lim_{x\to \22} \frac{1}{1-x}[/tex]
Plug in the value of 2 in for x. We get,
⇒ [tex]\frac{1}{1-(2)}[/tex] ⇒ [tex]\frac{1}{-1}[/tex] ⇒ -1
So, [tex]\\ \lim_{x\to \22} \frac{1}{1-x} = -1[/tex]
Someone pls help!!
Construct a circle through points
X, Y, and Z.
Answer:
Here is an example. Check out the uploaded image.
Step-by-step explanation:
Draw Points XY using a Straight Line
Draw a bisector in the middle of the line
Repeat Procedure for lines XZ and YZ
Where the two lines meet is the Center
Extend the compass from the center to any point and complete the circle.
Evaluate the following expression when c = -3 and d= 2: 6/d -10c - c to the fourth power
The value of the fourth power of the expression is 1679616.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression: 6/d -10c - c, where c = -3 and d= 2
Solving the expression, we get,
6/2-10(-3)-(-3)
= 3+30+3
= 36
We are asked to find the fourth value of 36,
(36)⁴ = 36 × 36 × 36 × 36 = 1679616
Hence, the value of the expression is 1679616.
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In ΔUVW, w = 1.4 cm, m m∠W=63° and m m∠U=29°. Find the length of v, to the nearest 10th of a centimeter.
In order to find the length of v in ΔUVW, we can use the Law of Sines.
The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all sides and angles in the triangle. This can be expressed as:
a/sin A = b/sin B = c/sin C
Where a, b, and c are the lengths of the sides of the triangle and A, B, and C are the angles opposite those sides.
In ΔUVW, we are given the lengths of two sides (w and v) and the measure of the angles opposite those sides (m∠W and m∠U). We can use the Law of Sines to find the length of v:
v/sin U = w/sin W
v = (w/sin W) * sin U
Substituting the given values, we get:
v = (1.4 cm / sin 63°) * sin 29°
Using a calculator, we find that v = 2.72 cm to the nearest hundredth of a centimeter. Rounding to the nearest 10th of a centimeter, we get v = 2.7 cm.
Therefore, the length of v in ΔUVW is approximately 2.7 cm to the nearest 10th of a centimeter.
A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees clockwise and then
translated 1 unit left and 2 units down to form triangle A'B'C'. What is the measure of angle B'A'C', in
degrees, in the resulting figure?
Answer:
90 degree
Step-by-step explanation:
since the angle BAC is 90 degree, no matter the triangle is rotated, or translated , the angld of the triangle do nit change.
To illustrated this, see attached pages.
A construction company is building a fence that is 1 1/3 miles long. They can building the fence 1/6 Mile every hr. How long to build the
The length of time to build the fence is 8 hours
How to determine the length of time to build the fenceFrom the question, we have the following parameters that can be used in our computation:
Length of the fence = 1 1/3 miles
Rate of building = 1/6 miles per hour
The length of time to build the fence is then calculated as
Length of time = Length of the fence/Rate of building
Substitute the known values in the above equation, so, we have the following representation
Length of time = (1 1/3 miles)/(1/6 miles per hour)
Evaluate the quotient
This gives
Length of time = 8 hours
Hence, the time taken is 8 hours
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Judi is making a rope ladder. She uses 1/2 yard of for each step. How many yards of rope can she make for step?
The number of yards of rope she can make for the step is 3 yards
How to determine the number of yards of rope she can make for the step?From the question, we have the following parameters that can be used in our computation:
Yards of rope per step = 1/2 yards per step
Total number of steps = 6 steps
The number of yards of rope she can make for the step can then be calculated using the following equation
The number of yards of rope = Total number of steps * Yards of rope per step
Substitute the known values in the above equation, so, we have the following representation
The number of yards of rope = 1/2 * 6
Evaluate
The number of yards of rope = 3
Hence, the number of yards of rope is 3
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Complete question
Judi is making a rope ladder. she uses 1/2 yard of rope for each step. how many steps can she make with 6 yards of rope?
Which fraction is equivalent to -3/5
Answer: 3/-2
Step-by-step explanation:
3/-2 and -3/2 mean the same thing and give same result if we divide the numerator by denominator.
hope that helps...
Which system of equations can be graphed to find the solution(s) to x² = 2x + 3?
[y=x²+2x+3
y=2x+3
0
O
O
[y=x²-3
y=2x+3
[y=x²-2x-3
ly=2x+3
[y=x²
y=2x+3
Step-by-step explanation:
please refer to the sketch
The system of the equations to be used to graph the solution of the equation given is y = x² and y = 2x+3
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, is an equation, x² = 2x+3, we need to find a system of equations that can be graphed to give the solution of the equation given,
So, the equation is x² = 2x+3
We can write this as,
x²-2x-3 = 0
Now, factorize to find the solution of the equation,
x²-3x+x-3 = 0
x(x-3)+1(x-3) = 0
(x+1)(x-3) = 0
x = -1 and x = 3
So, the solution of the equation is -1 and 3
However, if we consider the equation to be two different systems combined, that is the equation of the straight line and the equation of the basic quadratic function,
y = x² and y = 2x+3
Then the solution to is the intersection of the graph of the straight line and the graph of the quadratic curve.
That is the x-coordinates of the points of intersection are the solutions.
Since, the graphs are intersecting at (3, 9) and (-1, 1) [see the graph]
Therefore, the system of equation is y = x² and y = 2x+3
Hence, the system of the equations to be used to graph the solution of the equation given is y = x² and y = 2x+3
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Lena had 149 dollars to begin with. She just spent k dollars. Using k, write an expression for the number of dollars she has left.
Therefore , the solution to the given problem of expression comes out to be 149-k =x be used it as its expression.
Define Expression .A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Here,
Given : Lena has $149
she spends k amount of money
The money left be x
=> 149-k =x
Therefore , the solution to the given problem of expression comes out to be 149-k =x be used it as its expression.
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for values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)
Answer:
g(f(x)) = 4x² - 12x + 10
Step-by-step explanation:
to find g(f(x)) substitute x = f(x) ino g(x)
g(f(x))
= g(2x - 3)
= (2x - 3)² + 1 ← expand parenthesis using FOIL
= 4x² - 6x - 6x + 9 + 1
= 4x² - 12x + 10
Compare.
2.2O 14/4
A. <
B. >
C. =
Answer:≤ sorry if it's wrong I'm not a fan of math
Step-by-step explanation:
Write the equation of the line shown on graph (-1,-5) and (2,1)
Answer:
y = 2x -3
Step-by-step explanation:
You want the equation of the line through the points (-1, -5) and (2, 1).
SlopeThe slope of the line is given by ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-5))/(2 -(-1)) = 6/3 = 2
Y-interceptThe y-intercept of the line can be found from ...
b = y -mx
y = -5 -2(-1) = -3
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b . . . . . . . line with slope m and y-intercept b
Using our found values, the equation is ...
y = 2x -3 . . . . . . . . line with slope 2 and y-intercept -3
find the value of x !
Answer:
x = 7
Step-by-step explanation:
You want to know the value of x when the base of a triangle measures 5x+35, and its midsegment measures 35.
MidsegmentThe base of the triangle is twice the length of the midsegment, so you have ...
5x +35 = 2(35)
5x = 35 . . . . . . . . . . subtract 35
x = 7 . . . . . . . . . . divide by 5
__
Additional comment
The midsegment joins the midpoints of the sides of the triangle.
In more formal terms, the smaller triangle is similar to the larger one with a scale factor of 1/2. That means the parallel segments are related by that scale factor of 1/2: (1/2)(5x +35) = 35.