If 3x - 6 = 21, what is the value of x - 2 ?
The value of x - 2 in the equation 3x - 6 = 21 is 7.
What is an equation ?An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.
According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.
∴ 3x - 6 = 21.
3x = 21 + 6.
3x = 27.
x = 27/3.
x = 9.
So, the value of (x-2) will be (9-2) = 7.
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It takes 3 2 ⁄6 spoons of chocolate syrup to make 2 3 ⁄5 gallons of chocolate milk. How many spoons of syrup would it take to make 4 gallons of chocolate milk?
Answer:
Step-by-step explanation:
This is a proportion question.
change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333
change 3/5 to a decimal 3/5 = 0.6
3.3333 / 2.6 = x / 4 Cross multiply
4*3.33333 = 2.6x Combine the left.
13.33333= 2.6x Divide by 2.6
13.3333/2.6 = x
x = 5.128 spoons of syrup.
a=3b+4c-a is this a litteral equation
Answer:
a= 3b+4c/2
Step-by-step explanation:
2a=3b+4c
a= 3b+4c/2
find the angle represented by x ( round the nearest tenth of a degree) A 16.2 B 16.4 c17.1 d17.4
Answer:
B. 16.4°
Step-by-step explanation:
reference angle = x = [tex] \theta [/tex]
Side length opposite to x = 20 ft = opp
Adjacent side length = 68 ft = adj
Apply the following trigonometric ratios formula:
[tex] tan(\theta) = \frac{opp}{adj} [/tex]
Plug in the values into the formula
[tex] tan(x) = \frac{20}{68} [/tex]
[tex] tan(x) = 0.2941 [/tex]
[tex] x = tan^{-1}(0.2941) [/tex]
[tex] x = 16.3886 [/tex]
x = 16.4° (nearest tenth)
Answer:
B. 16.4
Step-by-step explanation:
It is possible to get 2 solutions when the system of equations is: (check all that apply)
A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)
[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]
[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex] so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]
so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])
A system of the equation of a parabola and a linear equation
Let equation of Parabola be [tex]y^2 = x[/tex]
and linear equation y = x
substitute
[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]
Y = 0,1
so the two solutions will be (0,0) and (1,1)
What is 6.02 x 10^5 written in standard form?
Answer:
602,000
Step-by-step explanation:
Answer:
602,0000
Step-by-step explanation:
10^5 = 100,000
6.02 x 100,000
I simply moved the numbers forward by 5 spaces.
PLEASE HELP ME ASAP
Solve for x in the diagram below
Answer:
x=12
Step-by-step explanation:
The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12
Answer:
[tex]\huge\boxed{\sf x = 12}[/tex]
Step-by-step explanation:
6x - 2 + 20 = 90 [Complementary Angles]
6x + 18 = 90
Subtracting 18 to both sides
6x = 90 - 18
6x = 72
Dividing both sides by 6
x = 12
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0
Answer:
I think -4
Step-by-step explanation:
Solve for the value of x.
Answer:
x= 12
Step-by-step explanation:
The sum of both of the equasions equal up to 180. so you set up the problem like this:
(9x-4)+(6x+4)=180
15x=180
x=12
To check;
(9(12)-4)+(6(12)+4)=180
104+76=180
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will take him hours to finish the swim event.
Given :
The Ironman endurance race has a 2.4 miles swim.
Javier can swim 0.5 miles in 20 minutes.
To Find :
How much time in hours it takes to complete the race.
Solution :
Speed of Javier :
[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]
Let, time taken to cover 2.4 miles is t .
So,
[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]
Hence, this is the required solution.
Una caja registradora contiene $1782 en monedas de cinco pesos, de diez y de un peso. Hay 802 monedas en total, y 10 veces más de 5 que de a 10 ¿Cuántas monedas hay de cada una en la caja registradora?
Answer:
En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.
Step-by-step explanation:
De acuerdo a la información, puedes escribir las siguientes ecuaciones:
x+y+z=802 (1)
5x+10y+z=1782 (2)
x=10y (3)
Primero debes reemplazar (3) en (1) y (2):
10y+y+z=802
11y+z=802 (4)
5(10y)+10y+z=1782
50y+10y+z=1782
60y+z=1782 (5)
Ahora, tienes dos ecuaciones:
11y+z=802 (4)
60y+z=1782 (5)
Puedes despejar z en (4):
z=802-11y (6)
Después, puedes reemplazar (6) en (5):
60y+802-11y=1782
49y=1782-802
y=980/49
y=20
Puedes reemplazar el valor de y en (3) para encontrar x:
x=10y
x=10(20)
x=200
Puedes reemplazar el valor de y en (6) para encontrar z:
z=802-11(20)
z=802-220
z=582
De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.
Does this look good I made it this morning
Answer:
looks delicious
Step-by-step explanation:
Answer:
Man looks so good!
Step-by-step explanation:
Send me some in the mail. lol ☺☻♥
The cost of Ken's car wash was $24.00. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?
what is the
507
If the probability that a person will die in the next year is
507/100,000 what is the
probability that the person will not die in the next year?
A. 99493
B. 99%
C. 0.99493
D. 0.99507
Answer:
C. 0.99493
Step-by-step explanation:
Hope this helps!
The probability that the person will not die in the next year should be considered as the 0.00943.
Calculation of the probability:Since
the probability that a person will die in the next year is 507/100,000
So, it can be like
[tex]= (100,000 - 507) \div 100,000[/tex]
= 0.99493
hence, The probability that the person will not die in the next year should be considered as the 0.00943.
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By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices
Answer:
34 edges
Step-by-step explanation:
Euler's formula for polyhedron states
F + V - E = 2
where F is number of faces, V, number of vertices, E number of edges
Here F = 16, V = 20, thus
16 + 20 - E = 2, that is
36 - E = 2 ( subtract 36 from both sides )
- E = - 34 ( multiply both sides by - 1 )
E = 34
22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).
help is appreciated !!!
Answer:
If the lines BC and DE are parallel, the value of c is c=-2
Step-by-step explanation:
We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints D(c, -7) and E(5, -3).
Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c
When 2 lines are parallel there slope is same.
So, Slope of line BC =Slope of Line DE
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have:
[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]
Putting values and finding c
[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]
So, If the lines BC and DE are parallel, the value of c is c=-2
what is the slope of this graph?
Answer:
It is -2/3
Step-by-step explanation:
Find the zeros for the given equation hurry!!!!
Answer:
x = 3 and -1
Step-by-step explanation:
5(x²-2x-3)
(x-3)(x+1)
Answer:
Zero's are: x= 3, -1
Step-by-step explanation:
With factoring, and determining the middle ground, finding the zeroes will come back to this result.
Suppose 15% of x equals 20% of y. What percentage of x is y?
a) 5 b) 35 c) 75 d) 133 1/5 e) 300
Answer:
c)15
Step-by-step explanation:
Confirmed by rsm
A percentage is a way to describe a part of a whole. x is 133¹/₃% of y. The correct option is D.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that 15% of x equals 20% of y. Therefore, we can write,
15% of x = 20% of y
(15/100) × x = (20/100) × y
Multiply both the sides of the equation by 100,
(15/100) × x × 100 = (20/100) × y × 100
15x = 20y
x/y = 20/15
Divide both the sides of the equation by 5,
x/y = 4/3
Now, the percentage of x that is y is,
Percentage = (x/y) × 100%
= (x/y) × 100%
= (4/3) × 100%
= 133.33%
= 133 ¹/₃ %
Hence, x is 133.33¹/₃% of y.
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04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations
Answer:
1st one m=0
y= 0.49875311x / cm
No horizonal asymptotes
x= 1/2 + 2.005 mcy
2nd one is
slope 1/2
y intercept (0,2)
x y
-4 0
0 2
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?
Answer:192
Step-by-step explanation:
Calculate the area l*w or s*s
Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here
4*8=32/1=32*6=192
b). Kirchoff has more money than Maxi. If Kirchoff gave Maxi $20, they would have the
same amount. While it Maxi gave Kirchoff $22, Kirchoff would then have twice as much as
Maxi. How much does each one actually have?
Answer:
k = 146
m= 106
Kirchoff has $146
Maxi has $106
Step-by-step explanation:
For the purpose of the equations, I’ll call Kirchoff and Maxi a and b respectively.
a - 20 = b + 20 (equation 1)
2(b - 22) = a + 22 (equation 2)
We can juggle those around for
a = b +40 (equation 1r (re-arranged)) and
2b - 44 = a + 22 so 2b - 66 = a (equation 2r (rearranged))
The equations are now:
a = b + 40 (new equation 1) and
a = 2b - 66 (new equation 2)
Substitute from new equation 1 to new equation 2:
b + 40 = 2b - 66 so 40 = b - 66 making b = 106.
Plug b = 106 into new equations 1 and 2 for:
a = 106 + 40 (new equation 1) and
a = 212 - 66 (new equation 2)
This gives a = 146 and b = 106
TEST: There’s a gap of $40, so giving $20 from a to b makes them equal.
SECOND TEST: Subtracting $22 from b makes it $84 and giving that sum to a makes it $168, twice as much. The tests work.
Kirchoff has $146 and Maxi has $106.
Solving systems of equations x+y=10 y=x-4
Answer:
(7,3)
Step-by-step explanation:
help pls, this is geometry
Answer:
sas - meaning side angle side
Step-by-step explanation:
Aaron needs to hire a waiter. Waiter A is offering his services for an
initial $25 in addition to $5.25 per hour. Waitress B is offering her
services for an initial $30 in addition to $4.25 per hour. When will the
two waiters charge the same amount of money?
Answer:
In 4 Hours
Step-by-step explanation:
1 hour: A: 30.25 B: 34.25
2 hours: A: 35.5 B: 38.5
3 Hours: A: 40.75 B: 42.75
4 Hours: A: 46 B: 46
there are 12 inches in a foot how many square inches are in 1 1/2 feet
Answer:
144.
The reason is because 1 ft = 12 in, (1 ft)2 = (12 in)2 = 144 in2.
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C.) 8
Step-by-step explanation:
1 1/2 / 3/16 = 8
Answer:
Its c
Step-by-step explanation:
you convert 1 1/2 into 1 8/16, divided by 3/16. which gives you your answer.
Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29
Answer:
B, 36
Because, a composite number has factors
The others are prime
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Solve the following system of equations:
Y=x^2+4x+4
Y=x+2
What is the value of y?
Answer:
y=4, y=2
Step-by-step explanation: