Answers
Answer:
X>4
Step-by-step explanation:
Related Questions
(x+3)(x-5)=(x+3)(x−5)=
Answers
Answer:
All real numbers are solutions. 0=0
Step-by-step explanation:
(x+3)(x−5)=(x+3)(x−5)
Step 1: Simplify both sides of the equation.
x2−2x−15=x2−2x−15
Step 2: Subtract x^2 from both sides.
x2−2x−15−x2=x2−2x−15−x2
−2x−15=−2x−15
Step 3: Add 2x to both sides.
−2x−15+2x=−2x−15+2x
−15=−15
Step 4: Add 15 to both sides.
−15+15=−15+15
0=0
All real numbers are solutions.
A bag of chocolates weighs 70 grams. If the weight of the bag increases by 25% find the new weight of the bag.
Answers
Therefore the new weight of the bag is 87.5g.
I also need to know this one pretty soon pleaseee
Answers
Answer:
128
Step-by-step explanation:
If Paul and Steve are the same height and they are both correct, write an equation to represent this relationship. Put Paul's expression on the left side of the equal sign and Steve's expression on the right.
Answers
Answer:
Theresa's height=60 inches
Paul's height= Steve's height=74 inches
Step-by-step explanation:
Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa ?
Let
p=paul's height
s=steve's height
t=theresa's height
Paul's height = Steve's height
p=s
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height
1 1/2 * t -16
=3/2t -16
Steve says he is 6 inches shorter than 1 1/3 times Theresa's height
1 1/3 * t - 6
=4/3t - 6
P=S
3/2t -16 = 4/3t - 6
Collect like terms
3/2t-4/3t= -6+16
9t-8t/6 =10
t/6=10
Cross product
t=60
Theresa's height=60 inches
P=3/2t -16
=3/2(60) -16
=180/2 -16
=90-16
=74 inches
p=s
Paul's height=74 inches
Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season. A. linear B. exponential C. none of these D. quadratic
Answers
Answer:
A. linear, because it's growing the same amount each growing season
Step-by-step explanation:
Answer:
Step-by-step explanation: the answer is linear because it goes up by a constant every year
The graphed system represents the rate at which two trucks are being filled, where x represents the time in minutes and y represents the percentage filled. Which statement is true? A. The solution is nonviable because the percentage filled cannot be negative. B. The solution is nonviable because the time cannot be negative. C. The solution is nonviable because the time cannot be partial minutes. D. The solution is viable.
Answers
By reading the graph, we can say that the solution is nonviable because A. the percent filled cannot be negative B. the time cannot be negative.
What is meant by Reading the graph?Reading a graph means interpreting what information is being conveyed by the graph and getting meaningful insights from it.
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Carrie solved = by cross multiplying to get 4x = 6 and then divided both sides by 4. She got x = which reduced to x = . Is there a faster way to solve this problem?
Answers
Answer:
Ok, when we have an equality, like:
A = B
That says that A is the same as B.
Then if a multiply, divide, add or subtract (or do a lot of other operations) in both sides of the equality, the equality does not change.
I suppose that we start with something like:
(4/3)*x = 2
(i will work with this, because you did not post the actual equations)
the thing that Carrie did is:
She multiplies both sides by 3, and get:
3*(4/3)*x = 2*3
4*x = 6
Now she divides bot sides by 4
4*x/4 = 6/4
x = 6/4 = 3/2.
Now, a simpler step is considerin (4/3) as a number A, then we have:
A*x = 2
Now we divide both sides by A.
A*x/A = 2/A
x = 2/A
and we have A = (4/3) then 1/A = (3/4)
x = 2*(3/4) = 3/2
Match each statement with its corresponding value for the system below:
y = -2(3)x and y = 9x - 2
1. The number of points of intersection.
2. The x-coordinate of the solution.
3. The y-coordinate of the solution.
Answers
Answer:
1. 1 point
2. The x-coordinate of the solution = 2/17
3. The y-coordinate of the solution = -16/17
Step-by-step explanation:
Given that the equation is of the form;
y = -2³×x and y = 9·x - 2, we have;
y = -8·x and y = 9·x - 2
1. Given that the two lines are straight lines, the number of points of intersection is one.
2. The x-coordinate of the solution
To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;
-8·x = 9·x - 2
-8·x - 9·x= - 2
-17·x = -2
x = 2/17
The x-coordinate of the solution = 2/17
3. The y-coordinate of the solution
y = 9·x - 2 = 9×2/17 - 2 = -16/17
y = -16/17
The y-coordinate of the solution = -16/17.
A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?
Answers
Answer:
2 pi •10•210
Step-by-step explanation:
Khan academy
what is the value of a in the functions equation?
Answers
Answer:
y= -2x^2 + 12x -14
Step-by-step explanation:
when I put the points into a graphing calculator this is what I got so I think the answer is -2
Answer:
Step-by-step explanation:
It is -2
Michael is using a number line to evaluate the expression –8 – 3. A number line going from negative 12 to positive 12. A point is at negative 8. After locating –8 on the number line, which step could Michael complete to evaluate the expression?
Answers
Answer:
move to the left 3 more spaces
Step-by-step explanation:
you are at -8 already. Therefore, you (-3) more spaces, so you go to the left three more spaces. Use the saying keep change change to help with this.
Keep the first number sign, change the next sign, and the next sign.
Answer:
d
Step-by-step explanation:
How do I solve this question 5x - [7 - (2x - 1)] = 3(x - 5) + 4(x + 3)
Answers
Answer:
x = 6/4, or x = 3/2, OR x = 1 1/2
Step-by-step explanation:
5x - [7 - (2x-1)] = 3(x-5) + 4(x+3)
Pick one side to work on first, I will chose the right side,
Distribute on the right side.
5x - [7 - (2x-1)] = 3x - 15 + 4x + 3
Now, add like terms on the right side.
5x - [7 - (2x-1)] = 7x - 12
Now, to isolate 7 - (2x -1), subtract 5x from both sides.
so now,
-7 - (2x-1) = 2x - 12
Now, we can add 7 to both sides of the equation to isolate -(2x-1)
we add instead of subtract because the seven is a negative.
-(2x-1) = 2x - 5
Now, there is still a negative sign in front of the (2x-1), so we distribute the - to the equation.
-2x + 1 = 2x - 5
Now, we can isolate the variable and numbers bu adding five to both sides, and adding 2 to both sides. This is to make the equation easier by removing any negative terms.
6 = 4x
Divide both sides by 4
x = 6/4, or x = 3/2, OR x = 1 1/2
the sum of three consecutive numbers is 276. What is the smallest of these intengers?
Answers
Answer:
91
Step-by-step explanation:
Let x be the smallest one:
● x is the first number
● x+1 is the second number
● x+2 is the third number
The sum of these numbers is 276
● x+(x+1)+(x+2) =276
● x+x+1+x+2 = 276
● 3x + 3 = 276
Substract 3 from both sides:
● 3x+3-3 = 276-3
● 3x = 273
Divide both sides by 3
● (3x)/3 = 273/3
● x = 91
So the smallest one is 91
Complete the following two-way frequency table.
Answers
Answer:
Step-by-step explanation:
Number of candies with Forest = 12
Candies containing coconut and chocolate both = Number common in coconut and the chocolate = 3
Candies which do not contain coconut but contain the chocolate = 6
Candies which contain the coconut but do not contain the chocolate = 1
Candies which neither contain the chocolate nor coconut = 2
From the given Venn diagram,
Contain coconut Do not contain coconut
Contain chocolate 3 6
Do not contain chocolate 1 2
The Fairy Tale Spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $0.80. You have $50 to spend at the Fairy Tale Spectacular including admission. Write and solve an inequality to determine the maximum number of rides you can enjoy at the Fairy Tale Spectacular?
Answers
Answer:21
Step-by-step explanation:
50-32.5=17.5
17.5/0.8=21.875
Hii, can you help me ?
Answers
Answer:
100, 101, 102, 103, 104
Step-by-step explanation:
Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.
101
102
103
104
105
Hope it helps❄️
Angles θ and φ are angles in standard position such that:
sinθ = -5/13 and θ terminates in Quadrant III
tanφ = -8/15 and φ terminates in Quadrant II
Find sin(θ + φ).
Answers
When [tex]\theta[/tex] terminates in quadrant III, both [tex]\cos\theta[/tex] and [tex]\sin\theta[/tex] are negative, and
[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac{12}{13}[/tex]
When [tex]\varphi[/tex] terminates in quadrant II, [tex]\cos\varphi[/tex] is negative and [tex]\sin\varphi[/tex] is positive, so
[tex]1+\tan^2\varphi=\sec^2\varphi\implies\sec\varphi=-\dfrac{17}{15}[/tex]
which gives
[tex]\cos\varphi=\dfrac1{-\frac{17}{15}}=-\dfrac{15}{17}[/tex]
[tex]\tan\varphi=\dfrac{\sin\varphi}{\cos\varphi}=-\dfrac8{15}\implies\sin\varphi=\dfrac8{17}[/tex]
Now,
[tex]\sin(\theta+\varphi)=\sin\theta\cos\varphi+\cos\theta\sin\varphi=-\dfrac{21}{221}[/tex]
Cada par de numeros esta a razon de 2:3
Answers
(0,8)+(7,-52) eso es la problema
show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle
Answers
Answer:
the sides are different lengths as shown in the diagram
Step-by-step explanation:
Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.
A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.
Please answer now question
Answers
Answer:
v=168
Step-by-step explanation:
An isosceles triangle has two sides of equal length. The third side is five less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm what is the length of the third side?
Answers
Answer:
9
Step-by-step explanation:
We can set up a systems of equations to find the value of the third side.
Let's assume that [tex]x[/tex] is the length of both sides 1 and 2. Let's also assume that [tex]y[/tex] is the length of the third side.
We know that [tex]x + x + y = 23[/tex], and looking at the first clue we can make the equation [tex]y = 2x-5[/tex].
We can substitute y into the equation [tex]x + x + y = 23[/tex].
[tex]x + x + (2x-5) = 23\\\\2x + 2x-5 = 23\\4x-5 = 23\\4x = 28\\x = 7[/tex]
So the length of the side that is the same as the second is 7.
Now we can plug this into the equation [tex]y = 2x-5[/tex] to find [tex]y[/tex].
[tex]y = 2(7) - 5\\\\y = 14-5\\\\y = 9[/tex]
Hope this helped!
Answer:
9 cm
Step-by-step explanation:
Let's say that the length of the 2 equal sides is x.
That means:
Side 1 = x
Side 2 = x
We know that the third side is 5 less than twice the length of the 2 equal sides, or 2x-5
Side 3 = 2x-5
The perimeter is all sides together.
Side 1 + Side 2 + Side 3
We know the length of each side, so let's put that in instead.
x + x + 2x-5
Let's simplify this expression:
x + x + 2x - 5
2x + 2x - 5
4x - 5
We know the perimeter, 4x-5, is 23 cm.
4x - 5 = 23
4x = 28
x = 7
The third side is 2x-5. If x is 7...
2*7 - 5 = 14-5 = 9
Answer: 9 cm
John has 5 boxes of sweets. One group of boxes has 5 sweets in each box. The second group of boxes has 4 sweets in each box. John has a total of 22 sweets. How many boxes of each type John has?
Answers
Answer:
3 boxes with 4 sweets and 2 boxes with 5 sweets
Step-by-step explanation:
Boxes with 4 sweets= xBoxes with 5 sweets= yAs per given, we have following equations:
x + y = 54x + 5y = 22x= 5- y as per the first equation, considering in second one:
4(5 - y) + 5y = 2220 - 4y + 5y = 22y =2Then:
x= 5 - y = 5 - 2= 3So there 3 boxes with 4 sweets and 2 boxes with 5 sweets
Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.
Answers
Answer:
45 is the father's age
Step-by-step explanation:
1,400 is 10 times as much as 140- true or false
Answers
Answer:
True
Step-by-step explanation:
140 * 10 = 1400
True
HELP! answer if you can !!
Answers
You can find the area of a triangle by using this formula. A=bh/2.
Basically what you do is you multiply the base by the height, and then divide that by 2 to get your area.
Answer:
The formula for ABC Triangle
(AB×AC)/2
= (4.7×2.4)/
= 11,28/2
= 5,64 in²
Simplify 3(2x - 5). 1)-6x - 15 2) 6x - 15 3) 6x - 8 4) 5x - 2
Answers
Answer:
[tex] \boxed{ \bold{ \: 6x - 15}}[/tex]Option B is the correct option.
Step-by-step explanation:
[tex] \mathsf{3(2x - 5)}[/tex]
Distribute 3 through the parentheses
⇒[tex] \mathsf{3 \times 2x - 3 \times 5}[/tex]
Calculate the product
⇒[tex]6x - 15[/tex]
Hope I helped!
Best regards!!
Given: x - 7 > -2.
Choose the solution set.
A{x | x R, x > 14}
B{x | x R, x > -5}
C{x | x R, x > 5}
D{x | x R, x > -9}
Answers
Answer:
x > 5 (Choice C)
Step-by-step explanation:
x - 7 > -2
add 7 on both sides
x > 5
Answer:
x > 5 (Choice C)
Step-by-step explanation:
x - 7 > -2
add 7 on both sides
x > 5
Complete the sequence
8,27,64,125,.........
Just next letter
Answers
Answer:
216.
Step-by-step explanation:
These numbers are perfect cubes starting with 2^3.
2^3, 3^3, 4^3, 5^3 so the next one is 6^3, which is 216.
Find x - y subtracted from 0.
1. -y-x
2. x-y
3. -x + y
Answers
= 0 - x + y
= -x + y (option 3)
Answer: Option 3
Step-by-step explanation:
find the value of tan(arcsin(1/2))
Answers
Answer:
0.577
Step-by-step explanation:
inv. sin (0.5) = 30
tan (30) = 0.577
The value of Tan[tex](Sin^{-1}(1/2))[/tex] is 0.58.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Tan[tex](Sin^{-1}(1/2))[/tex]
[ Sin 30° = 1/2 ]
= Tan([tex]sin^{-1}sin30)[/tex])
= Tan 30°
= 0.58
Thus,
0.58 is the value of Tan[tex](Sin^{-1}(1/2))[/tex] is 0.58.
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