Answer:
660.4 millimeters.Step-by-step explanation:
1 inch = 25.4 millimeters
1 inch = 25.4 millimeters26 inches = ?
26 × 25.4
26 × 25.4= 660.4 millimeters
660.4 millimeters is the answer.
O preço à vista de uma mercadoria é R$ 130,00. O comprador pode pagar 20% no ato da compra e o restante em uma única parcela vencível em 3 meses. Admitindo-se que nesta parcela será acrescido um valor correspondente a 10% sobre o saldo devedor (saldo devedor é o que falta pagar do valor da mercadoria), quanto custará essa parcela? a) R$ 114,40 b) R$ 117,00 c) R$ 110,20 d) R$ 112,23 e) R$ 128,96
Resposta: a) R $ 114,40
Explicação passo a passo:
Dado o seguinte:
Preço à vista da mercadoria = R $ 130
Pagamento inicial = 20% na compra
O saldo pode ser parcelado, o que adicionará 10% ao saldo devedor.
Portanto ; Pagamento inicial :
20% * 130
0,2 * 130 = R $ 26
Saldo devedor = R $ (130 - 26) = R $ 104
Parcela total devida:
Saldo de débito + 10% do saldo de débito
10% do saldo devedor:
0,1 * 104 = R $ 10,40
Parcela total:
R $ (104,00 + 10,40) = R $ 114,40
If the Discriminant is 73 how many roots are there
The solution is 2 roots
The number of roots the equation will have if the value of the discriminant is 73 will be 2 roots
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the quadratic equation be A
where A = ax² + bx + c=0
Let the discriminant of the equation be D
Now , the value of D = 73
To calculate the number of roots a quadratic equation A
We need to compute the discriminant (b² - 4ac).
If the discriminant is less than 0, then the quadratic has no real roots.
If the discriminant is equal to zero then the quadratic has equal roots.
If the discriminant is more than zero then it has 2 distinct roots.
So , the value of D > 0
Therefore , the equation has 2 roots
Hence , the number of roots of the quadratic equation is 2 roots
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can you guys please help me solve these
Answer:
See explanation below
Step-by-step explanation:
In all cases you need to isolate x on one side of the inequality symbol using inverse operations.
1.-
[tex]15+x\leq -45\\15-15+x\leq -45-15\\x\leq -60[/tex]
where we subtracted from both side 15 in order to leave x by itself on the left.
2.-
[tex]x-14>12\\x-14+14>12+14\\x>26[/tex]
where we added 14 in order to isolate x on the left
3.-
In this case we need to divide both sides by -5 in order to isolate the x which is being multiplied by the factor -5, but he have to recall that multiplying or dividing by a negative number changes the direction of the inequality symbol (in our case from < into > )
[tex]-5x<35\\\frac{-5\,x}{-5} >\frac{35}{-5} \\x>-7[/tex]
4.-
[tex]2x>-42\\\frac{2\,x}{2} >\frac{-42}{2} \\x>-21[/tex]
In this case we simply divide both sides by two, and there is no change in the direction of the inequality because the number we are using to divide is a positive number (2)
If x= 4y + 3 and y = -2x - 3, what is the value of xy?
Given that :-
x = 4y +3 y = -2x -3To Find :-
Value of x.ySolution :-
→ x = 4y + 3 equation 1st
→ y = -2x -3 equation 2nd .
Now putting the value of x from first equation to second equation.
→ y = -2(4y +3 ) -3
→ y = -8y - 6 - 3
→ y + 8y = -9
→ 9y = -9
→ y = -1
Now putting the value of y in equation first .
→ x = 4(-1) + 3
→ x = -4 + 3
→ x = -1
Now multiply and X and y.
→ x.y = -1(-1)
→ x.y = 1 .
[tex]\huge {\bold {\star {\fcolorbox {black} {yellow} {Answer}}}} [/tex]
Given, x = 4y + 3 ⠀⠀⠀⠀⠀⠀ iy = -2x - 3⠀⠀⠀⠀⠀⠀⠀⠀iiTo find;The value of xy [tex]{\boxed{\red{\underline{\sf{Solution:}}}}}[/tex]Putting the value of x in ii, we get ;
➝ y = - 2(4y+3) - 3
➝ y = - 8y - 6 - 3
➝ y = - 8y - 9
➝ y + 8y = - 9
➝ 9y = - 9
∴ y = - 1
Putting the value of y in i, we get ;
➝ x = 4y + 3
➝ x = 4(-1) + 3
➝ x = - 4 + 3
∴ x = - 1
Now,➛ xy = (- 1)(-1)
⛬ xy = 1
complete the table for the given rule.
Answer:
x y
10 → 6
4 → 0
8 → 4
Step-by-step explanation:
Using the given rule, plug in any known values:
[tex]y=x-4\\\\6=x-4[/tex]
Solve for x. Add 4 to both sides of the equation to isolate the variable:
[tex]6+4=x-4+4\\\\x=10[/tex]
Repeat:
[tex]y=x-4\\\\0=x-4\\\\0+4=x-4+4\\\\x=4[/tex]
[tex]y=x-4\\\\4=x-4\\\\4+4=x-4+4\\\\x=8[/tex]
:Done
5/6 divided by -5/6. Please don’t say -1 put the answer as a fraction
Answer:
1/-30
Step-by-step explanation:
5/6/-5/6
= 5/6 x 6/-5
= 5/30 x 6/-30
= 30/-900
= 1/-30
the length of a rectangle is 4 units more then its breadth.its perimeter is 28 units. what is the length
Hi there! :)
Answer:
[tex]\huge\boxed{L = 9 \text { units}}[/tex]
Given:
Perimeter = 28
Let the breadth = x. The length is 4 units greater, so we can represent this as (x + 4).
Set up an expression. Remember that the formula for the perimeter of a rectangle is:
P = 2(l) + 2(w)
Substitute:
28 = 2(x) + 2(x+ 4)
Distribute:
28 = 2x + 2x + 8
Combine like terms and simplify:
28 = 4x + 8
20 = 4x
x = 5.
The length of the breadth is 5 units. Substitute in 5 to solve for the length:
(5) + 4 = 9 units.
The length of the rectangle is 9 units.
What is the VERTEX of the quadratic y = 2
(x + 4)² + 1
A(4,1)
B(-4,1)
Please explain if you know
Answer:
The vertex is ( -4,1)
Step-by-step explanation:
The equation for a parabola can be written as
y = a( x-h)^2 +k where ( h,k) is the vertex
y = 2 (x + 4)² + 1
Rewriting
y = 2 (x - -4)² + 1
The vertex is ( -4,1)
Answer:
the vertex is located at (-4, 1)
Step-by-step explanation:
The vertex equation of a vertical parabola is
y = a(x - h)^2 + k
where (h, k) is the vertex.
Comparing this to the given
y = 2(x + 4)² + 1, we see that the vertex is located at (-4, 1) and that the graph is stretched vertically by a factor of 2.
Please solve this
Wrong answer I’ll report
Answer:
z = 27
Step-by-step explanation:
Given that z² is proportional to x³ then the equation relating them is
z² = kx³ ← k is the constant of proportion
To find k use the condition z = 8 when x = 4, thus
8² = k × 4³
64 = 64k ( divide both sides by 64 )
k = 1
z² = x³ ← equation of proportion
When x = 9, then
z² = 9³ = 729 ( take the square root of both sides )
z = [tex]\sqrt{729}[/tex] = 27
What is the value of x?
Answer:
14
Step-by-step explanation:
You have the values for the hypotenuse (50) and one of the sides (48). You now have to find the second side using the Pythagorean Theorem.
a² + b² = c²
(48)² + b² = (50)²
2304 + b² = 2500
b² = 196
b = √196
b = 14
The linear function is represented by the equation y = Negative three-fifthsx – 2. What can be determined of this equation written in slope-intercept form? Check all that apply.
The y-intercept is Negative three-fifths
The y-intercept is 2.
The y-intercept is –2.
The slope is Negative three-fifths
The slope is 2.
The slope is –2.
Answer:
The y-intercept is –2.
The slope is Negative three-fifths
Step-by-step explanation:
A linear function is a function whose graph is a straight line. A linear function can be represented as:
f(x) = y = a + bx
where y is the dependent variable and x is the independent variable. The equation of a linear function in slope intercept form is given as:
y = mx + c
Where m is the slope and c is the y intercept.
Given that:
[tex]y=-\frac{3}{5}x-2[/tex], and comparing with y = mx + c:
The slope (m) = [tex]-\frac{3}{5}[/tex]
The y intercept (c) = -2
Answer:
The y-intercept is –2.
The slope is Negative three-fifths
Step-by-step explanation:
ZWXY is a right angle. If Z
is in the interior of ZWXY,
mZWXZ = 7x+8, and
m_ZXY = 5x-2, find the
value of x.
Answer:
The value of x = 7
Step-by-step explanation:
To solve this, we will have to fist of all know that the sum of all the angles in a right-angled triangle is 180 degrees.
In addition to that, since the triangle is a right-angled triangle, automatically, one of the angles is = 90 degrees
The next thing to do is to add all the angles together and equate them to 180 degrees.
Angle WXZ + Angle ZXY + 90 = 180 degrees
7x+8 + 5x-2 + 90 = 180
12x + 96 = 180
12x = 84
x = 7
Write two inequalities to compare 25 and 23
Answer:
[tex]\huge \boxed{25>23} \\ \\ \huge \boxed{25 \geq 23}[/tex]
Step-by-step explanation:
25 is greater than 23.
greater than ⇒ [tex]>[/tex]
25 is greater than or equal to 23.
greater than or equal to ⇒ [tex]\geq[/tex]
Answer:
1) [tex]25 > 23[/tex]
2) [tex]25 \geq 23[/tex]
Step-by-step explanation:
25 is greater than 23
=> [tex]25 > 23[/tex]
25 is also almost equal to 23
=> [tex]25 \geq 23[/tex]
name the property illustrated by each statement
2x - 2y = 2(x - y)
Name the property that justifies the given statement.
Answer:
Distributive property (Reversed)
Step-by-step explanation:
With the distributive property, it is possible to simplify expressions that consist of an expression term such as (a + b) being multiplied by one singular term such as c given as follows
c ×(a + b) = c·a + c·b
Factoring, which is the reverse use of the distributive property enables the difference or the sum of two products, each having a common factor to be the presented as the difference or the sum of two numbers multiplied by the common factor as follows;
2·x - 2·y = 2·(x - y).
For the given congruence, list the six poirs of congruent parts.
Answer:
ummm
Step-by-step explanation:
look it up
I'm helping you look it up right now
il comment when I find ... ok?
10(4-3i)= whats the answer
Answer: Hi!
To solve this equation, we first distribute to the terms inside of the parentheses.
10*4 = 40
10*-3i = -30i
Our equation now looks like this:
40 - 30i
There is nothing left to simplify, so you're done!
Hope this helps!
Which graph shows a system with an infinite number of solutions?
7b-b+1+3b
I’m trying to combine like terms plz help
Answer:
9b+1
Step-by-step explanation:
combine like terms
7b-1b+3b=9b
Answer:
9b+1
Step-by-step explanation:
7b-b+1+3b
(7b-b+3b) +1
(7-1+3)b +1
9b+1
What is the relationship between the slope of the line and the side lengths of the triangles?
For the smaller triangle, the rise is 2 since this is the length of the vertical component. The horizontal component is 3, meaning the run is 3
Slope = rise/run
Slope = 2/3
---------------
The larger triangle leads to the same slope because
slope = rise/run
slope = 4/6
slope = (2*2)/(2*3)
slope = 2/3
Because we get the same slope value, this confirms that both triangles have their hypotenuse on the same straight line.
The two triangles are similar. The larger triangle's sides are twice as long as its smaller counterpart.
−4 − 6 + 2 + 5 + 8 − 3 (8 − 6 − 3) − (−6 − 2 − 5) (9 − 4)(−6 − 3) pls help me
Answer:
-577
Step-by-step explanation:
−4 − 6 + 2 + 5 + 8 − 3 (8 − 6 − 3) − (−6 − 2 − 5) (9 − 4)(−6 − 3)
Factor each of the following polynomial
lows.
1. 2x2 - 8x
Answer:
2x (x - 4)
Step-by-step explanation:
Jeff wants to go to a university where the tuition is $9,000 per year he has a scholarship that pays for 70% of his tuition yesterday his $3,000 toward the first Year's tuition does he have enough to pay for the first year tuition?
Scholarship will pay=
After the scholarship, Jeff will pay=
Answer:
Step-by-step explanation:
Amount of Jeff tuition per year = $9,000
If Jeff has a scholarship that pays 70% of his tuition, the amount the scholarship will pat Jeff = 70% of his yearly tuition fee.
Scholarship amount = 70/100 * $9,000
Scholarship amount = 70*90
Scholarship amount = $6,300
Hence the scholarship will pay Jeff $6,300
If the amount saved by Jeff is $3,000
Total amount that Jeff has = Scholarship amount + Amount saved
Total amount that Jeff has = $6,300 + $3000 = $9300
Since the total amount that Jeff has is more than the yearly tuition fee, this shows that he has enough to pay for the first year's tuition
8x - 2 = -9 + 7x what does x equal
Answer:
x = - 7
Step-by-step explanation:
8x - 2 = -9 + 7x (add 2 to both sides)
8x - 2 + 2 = -9 + 7x + 2
8x = 7x - 7 (subtract 7x from both sides)
8x - 7x = 7x - 7 - 7x
x = - 7
Answer:x=-7
Step-by-step explanation:
Regroup terms.
8x-2=7x-98x−2=7x−9
2 Subtract 7x7x from both sides.
8x-2-7x=-98x−2−7x=−9
3 Simplify 8x-2-7x8x−2−7x to x-2x−2.
x-2=-9x−2=−9
4 Add 22 to both sides.
x=-9+2x=−9+2
5 Simplify -9+2−9+2 to -7−7.
x=-7x=−7
please answer the question 6 please asap
Answer:
we
Step-by-step explanation:
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A cruise ship charges $125 per night for a room there are 250 rooms on the ship if every room on the ship is booked how much money does the cruise ship make in a single night
Answer:
125
×
250
_____
000
6250
25000
answer 31250
125
⋅
250
is
31250
Answer:$31250
Step-by-step explanation: 125x250=000+6250+25000=$31250
What is the simplest form of (4x3 + 6x – 7) + (3x3 – 5x2 – 5x + 9)
Answer:
The simplest form of the given expression is 7x³ + 5x² + x + 2
Step-by-step explanation:
(4x³ + 6x - 7) + (3x³ - 5x² - 5x + 9)
Group like terms together.
(4x³ + 3x³) + 5x² + (6x - 5x) + (-7 + 9)
Combine like terms.
7x³ + 5x² + x + 2
So, this will be your simplest form of the given equation.
Answer:
7x³ + 5x² + x + 2
Step-by-step explanation:
A rectangular carpet has a perimeter of 234 inches. The length of the carpet is 83 inches more than the width. What are the dimensions of the carpet?
Answer:
Perimeter = 2 x length + 2 x width
Width = x
Length = x + 71
234 = 2*(x + 71) + 2*(x)
234 = 2x + 142 + 2x
234 = 4x + 142
4x = 234 - 142
4x = 92
x = 23
Width = 23 inches
Length = 94 inches
Step-by-step explanation:
The dimensions of the rectangular carpet are 100 and 17 inches.
Let the length of the rectangle be L. Let the width of the rectangle be W.Given the following data:
Perimeter = 234 inchesTranslating the word problem into an algebraic equation, we have;
[tex]L = W + 83[/tex]
To find the dimensions of the rectangular carpet;
Mathematically, the perimeter of a rectangle is given by the formula;
[tex]Perimeter = 2(L+W)[/tex]
Substituting the values into the formula, we have;
[tex]234 = 2(W + 83 + W)[/tex]
[tex]234 = 2(2W + 83)\\\\234 = 4W + 166\\\\4W = 234 - 166\\\\4W = 68\\\\W = \frac{68}{4}[/tex]
Width, W = 17 inches
Next, we would find the value of L;
[tex]L = W + 83[/tex]
Substituting the value of W, we have;
[tex]L = 17 + 83[/tex]
L = 100 inches.
Therefore, the dimensions of the rectangular carpet are 100 and 17 inches.
Find more information: brainly.com/question/897975
Solve 3x+2y−z=2 2y+z=7 −2x−4z=−2 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=
Answer:
(-1, 3, 1)
x=-1, y=3, z=1.
Step-by-step explanation:
So we have the three equations:
[tex]3x+2y-z=2\\2y+z=7\\-2x-4z=-2[/tex]
And we want to find the value of each variable.
To do so, look at the equations and try to think about what we can do to isolate one of the variables by itself.
We can see that both the second and equation has a variable and then the variable z.
In other words, we can solve for y in the second equation and x in the third equation and then substitute them in the first equation to isolate the variable z and then solve for z. With that, we can then easily arrive at our solution.
Therefore, solve for y in the second equation:
[tex]2y+z=7[/tex]
Subtract z from both sides. The zs on the left side cancels:
[tex](2y+z)-z=(7)-z\\2y=7-z[/tex]
Now, divide both sides by 2. The 2s on the left cancel and we've isolated the y variable:
[tex]\frac{(2y)}{2} = \frac{(7-z)}{2}\\y=\frac{(7-z)}{2}[/tex]
Now, do the same for the third equation. Isolate the x variable:
[tex]-2x-4z=-2[/tex]
First, divide everything by -2 to make things simpler:
[tex]\frac{(-2x-4z)}{-2}=\frac{(-2)}{-2}\\ x+2z=1[/tex]
Now, subtract 2z from both sides to isolate the x variable:
[tex](x+2z)-2z=1-2z\\x=1-2z[/tex]
We have isolated the x and y variables. They are:
[tex]y=\frac{(7-z)}{2}\\x=1-2z[/tex]
Now, we can substitute them back into the first equation. Therefore:
[tex]3x+2y-z=2\\3(1-2z)+2(\frac{7-z}{2})-z=2[/tex]
Distribute the first and second terms. The second term cancels out:
[tex]3(1)-3(2z)+(7-z)-z=2\\3-6z+7-z-z=2[/tex]
Combine like terms:
[tex]-6z-z-z+3+7=2\\-8z+10=2\\[/tex]
Subtract 10 from both sides:
[tex](-8z+10)-10=2-10\\-8z=-8[/tex]
Divide both sides by -8:
[tex]z=1[/tex]
Now that we've determined that z=1, plug it back into the isolated second and third equations:
Second equation:
[tex]y=\frac{(7-z)}{2}\\y=(7-1)/2\\y=(6)/2=3[/tex]
Third equation:
[tex]x=1-2z\\x=1-2(1)\\x=1-2=-1[/tex]
Therefore, our answer is (-1, 3, 1)
Answer:
(x, y, z) = (-1, 3, 1)
Step-by-step explanation:
Any of a number of web sites will solve systems of equations for you. Your graphing calculator will, too.
The solution is the right-most column in reduced row echelon form. Top to bottom, the variables are in order x, y, z.
(x, y, z) = (-1, 3, 1)
_____
If you like, you can use substitution to do this by hand.
z = 3x +2y -2 . . . . from the first equation
2y +(3x +2y -2) = 7 . . . . substituting into the second equation
3x +4y = 9 . . . . . in standard form
-2x -4(3x +2y -2) = -2 . . . . substituting for z into the third equation
14x +8y = 10 . . . . . in standard form
Subtract half the second equation from the first:
(3x +4y) -(7x +4y) = (9) -(5)
-4x = 4 . . . simplify
x = -1 . . . . . divide by 4
y = (9 -3x)/4 = (9 -3(-1))/4 = 12/4 = 3
z = 3(-1) +2(3) -2 = 1
The solution is (x, y, z) = (-1, 3, 1).
John went on a bike ride to the store 4 miles away. If it took John 3 1/0 of an hour to get there and 12 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip?
Answer:
His average rate of speed for the entire trip is 10 miles/hour.
Step-by-step explanation:
We are given that John went on a bike ride to the store 4 miles away. If it took John 3/10 of an hour to get there and 1/2 of an hour to get back.
And we have to find his average rate of speed (miles per hour) for the entire trip.
As we know that the Distance-Speed-Time formula is given by;
[tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
Here, the distance for the entire trip = 8 miles (4 miles for reaching store and 4 miles for returning back)
The time taken for the entire trip = [tex](\frac{3}{10} )[/tex] of an hour to reach the store and [tex](\frac{1}{2})[/tex] an hour to get back.
So, the average rate of speed for the entire trip = [tex]\frac{\text{Total Distance}}{\text{Total Time}}[/tex]
= [tex]\frac{8}{\frac{3}{10}+\frac{1}{2} }[/tex]
= [tex]\frac{8}{\frac{8}{10} }[/tex] = 10 miles per hour
Hence, his average rate of speed for the entire trip is 10 miles/hour.