Answer:
x=1
Step-by-step explanation:
First you distribute the 3 to 5x and 1 to get 15x+3=18x
Then you subtract 15x from 18x and get 3x
Lastly you divide 3 by 3 to separate the 3 and x and get x=1.
Answer:
x=30
Step-by-step explanation:
3
Simplify —
5
3
(— • x) - 18 = 0
5
STEP
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
18 18 • 5
18 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3x - (18 • 5) 3x - 90
————————————— = ———————
5 5
Pull out like factors :
3x - 90 = 3 • (x - 30)
3 • (x - 30)
———————————— = 0
5
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(x-30)
———————— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (x-30) = 0
Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-30 = 0
Add 30 to both sides of the equation :
x = 30
One solution was found :
x = 30
Plot the complex number —4 – 8i on the axes below.
It`s easy.
Real axis (-4) is the abscissa, the part with i (-8) is the ordinate. That`s why...
Joshua rolls two dice to form a two-digit
integer. If the number on the first die rep-
resents the tens digit and the number on the
second die represents the units digit, what
is the probability that the integer formed is
divisible by 8?
*Does anyone know which “category” or topic this question would fall under? Like what would I search to find more questions similar to this?
Answer:
fits under statistics category (also probability or math :\)
Point K is between J and L. If JL-162, what is JK?
4x+8
68-6
J
K K
L
Answer:
JK = 72
Step-by-step explanation:
JL = JK + KL = (4x+8) + (6x-6) = 10x + 2 = 162
--> x = (162-2)/10 = 16
JK = 4x + 8 = 4 . 16 + 8 = 72
b) James went to Black Rock coffee shop and ordered
2 coffees and 5 bagels for which he paid $24. The next
morning he returned to buy 3 coffees and 4 bagels for
$22. Based on this information, determine how much
each item costs.
Answer:
Coffees cost $2 each and bagels cost $4 each
Step-by-step explanation:
Let
Coffee=c
Bagels= b
2 coffees and 5 bagels for which he paid $24
2c + 5b= 24 (1)
he returned to buy 3 coffees and 4 bagels for
$22
3c + 4b = 22 (2)
2c + 5b= 24 (1)
3c + 4b = 22 (2)
Multiply (1) by 3 and (2) by 2
6c + 15b = 72 (3)
6c + 8b = 44 (4)
Subtract (4) from (3)
15b - 8b = 72 - 44
7b = 28
Divide both sides by 7
b= 28 / 7
= 4
b= $4
Substitute b=4 into (1)
2c + 5b= 24
2c + 5(4) = 24
2c + 20 = 24
2c = 24 - 20
2c = 4
Divide both sides by 2
c= 4 / 2
c= $2
Therefore,
Coffees cost $2 each and bagels cost $4 each
Use the figure below for Exercises 1-8. Note that RN pierces the plane at N. It is not coplanar with V.
SR
А
M
х
N
C.
1. Name two segments shown in the figure.
2. What is the intersection of CM) and RN ?
3. Name three collinear points.
4. What are two other ways to name plane V?
5. Are points R, N, M, and X coplanar?
6. Name two rays shown in the figure.
7. Name the pair of opposite rays with endpoint N.
8. How many lines are shown in the drawing?
Answer:
1. Two segments are MC and AX
2. Point N
3. Three collinear points are points A, point N and point X
4. Two other names for V are quadrilateral and rectangle
5. No N, M, and X are in a different plane from R
6. Two rays are ray NR and ray NA
7. The pair of opposite rays with end point N are ray NA and ray NX and ray NM and ray NC
8. Three lines are shown in the figure
Step-by-step explanation:
1) A segment is a line portion with two end points
2) A point marks a position
3) Collinear points are points on the same line
3) A quadrilateral is a four sided figure while rectangle has 90° interior angles
4) A ray is an line extending from a point without ending
5) Opposite rays are rays extending from the same point but in opposite directions
6) A line is a straight one dimensional geometric figure that has no width but infinite number of points extending without end in both directions
I needed help plzzz it's for school
Answer:
2k-8
Step-by-step explanation:
3k +9 -k-17
Combine like terms
3k -k +9-17
2k -8
Answer:Simplifying
3k + 9 + -1k + -17 = 0
Reorder the terms:
9 + -17 + 3k + -1k = 0
Combine like terms: 9 + -17 = -8
-8 + 3k + -1k = 0
Combine like terms: 3k + -1k = 2k
-8 + 2k = 0
Solving
-8 + 2k = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 2k = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 2k = 0 + 8
2k = 0 + 8
Combine like terms: 0 + 8 = 8
2k = 8
Divide each side by '2'.
k = 4
Simplifying
k = 4
Step-by-step explanation:
brainlist if CORRECT
If [x] + x + y =10 AND \y] + x - y =12 then find the value of x + y
Answer:
hope it helps
Step-by-step explanation:
2x+y=10
x-2y=12
2x+y=10
2x-4y=24
y=-14/5
2x=10+14/5
2x=64/5
x=32/5
Represent "The product of 5 and a number z" mathematically.
Answer:
5z
Step-by-step explanation:
Answer:
5z
Step-by-step explanation:
'The product of 5 and a number' would be 5 * n.
Since the number in the question would be 'z', we will write it as '5 * z'.
However, the most ideal way to write this is '5z'. So, "The product of 5 and a number z" would be '5z'.
Hope this helps.
Un terreno A, tiene un largo de 120 m. Y un ancho de 200 m. . Si es 3 veces más largo y 4 veces más ancho que el terreno B. ¿Cuál es el área del terreno B?
Answer:
El área del terreno B es 2000 m.
Step-by-step explanation:
Tenemos que el terreno A es:
[tex]L_{A}[/tex]: largo = 120 m
[tex]A_{A}[/tex]: ancho = 200 m
Y que el terreno B es:
Largo:
[tex] L_{A} = 3L_{B} [/tex]
[tex] L_{B} = \frac{L_{A}}{3} = \frac{120 m}{3} = 40 m [/tex]
Ancho:
[tex] A_{A} = 4A_{B} [/tex]
[tex] A_{B} = \frac{A_{A}}{4} = \frac{200}{4} = 50 m [/tex]
Entonces, asumiendo que el terreno es un rectángulo, el área del terreno B es:
[tex] a_{B} = L_{B}*A_{B} = 40 m*50 m = 2000 m [/tex]
Por lo tanto, el área del terreno B es 2000 m.
Espero que te sea de utilidad!
Write 15^-6 using a positive exponent
Answer:
[tex]\frac{1}{15^{6}}[/tex]
Step-by-step explanation:
If you see a negative sign in the power, you will place the number and power over 1:
15^-6 = 1/(15^6)
[tex]\frac{1}{15^{6}}[/tex]
Simplify. Solve 15^6:
15^6 = 15 * 15 * 15 * 15 * 15 * 15 = 11,390,625
1/11,390,625 is your simplified answer.
However, note that you are solving for a positive exponent. Your answer will be:
[tex]\frac{1}{15^{6}}[/tex]
Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years
Answer: 4 years
Step-by-step explanation:
144 + 8(4) = 176
108 - 5(4) = 88
88 x 2 = 176
1. PLEASE HELP. Consider the matrices-
Answer:
A - B = [ -1 3 ]
[ -6 2 ]
[ -4 -10 ]
Step-by-step explanation:
Since Matrix A and Matrix B have the same size, then we can simply perform the operation of subtraction on each position within the matrices to get the resulting subtracted matrix.
A = [ 4 7 ] B = [ 5 4 ]
[ -3 8 ] [ 3 6 ]
[ -5 -2 ] [ -1 8 ]
A - B = [ (4 - 5) (7 - 4) ]
[ (-3 - 3) (8 - 6) ]
[ (-5 - -1) (-2 - 8) ]
A - B = [ -1 3 ]
[ -6 2 ]
[ -4 -10 ]
Cheers.
Determine the standard form of the equation of the line that passes through (-7,8) and (0,-8)
Answer:
work shown and pictured
A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?
Answer:
The correct answer is 12.8 J.
Step-by-step explanation:
To solve this problem, we must remember how to calculate the kinetic energy of an object.
The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object. If we plug in the given values into the formula, we get:
K = 1/2 * m * v^2
K = (1/2) * (0.40) * (8.0)^2
Our first step is to square the velocity. After doing this step, we get the following:
K = (1/2) * (0.40) * (64)
Finally, we can perform the multiplication, to get:
K = 12.8
The unit for kinetic energy is joules, so the correct answer is 12.8 J.
Hope this helps!
Kinetic energy is the energy due to motion of an object
The kinetic energy of the bird is 12.5 joules
Reason:
The known parameter are;
The mass of the bird, m = 0.50 kg
The speed of the bird, v = 8.0 m/s
Required:
To find the kinetic energy of the bird
Solution:
[tex]Kinetic \ energy = \dfrac{1}{2} \cdot m \cdot v^2[/tex]
Therefore;
[tex]The \ kinetic \ energy \ of \ the \ bird = \dfrac{1}{2} \times 0.40 \ kg \times (8.0 \ m/s)^2 = 12.8 \ J[/tex]
The kinetic energy of the bird is 12.8 J
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Please help
D=1/3fk solve for k
Answer:
[tex]k = \frac{3D}{f} [/tex]Step-by-step explanation:
[tex]D = \frac{1}{3} fk[/tex]To solve for k first multiply both sides by 3
That's
[tex]3D = fk[/tex]Next divide both sides by f in order to isolate k
We have
[tex] \frac{fk}{f} = \frac{3D}{f} [/tex]Simplify
We have the final answer as
[tex]k = \frac{3D}{f} [/tex]Hope this helps you
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-8)/(x+7) and g(x) = (-7x-8)/x-1
f(x) = (x-8)/(x+7) and g(x) = (-7x-8)/(x-1)
To confirm that f(x) and g(x) are inverses.
f(g(x)) = x
g(f(x)) = x
f(g(x)) = (((-7x-8)/(x-1))-8)/(((-7x-8)/(x-1))+7)
f(g(x)) = (-15x² -15x)/(-15x² - 15)
f(g(x)) = -15x/-15
f(g(x)) = x
g(f(x)) = (-7((x-8)/(x+7))-8)/(((x-8)/(x+7))-1)
g(f(x)) = (-15x² - 105x)/(-15x²- 105)
g(f(x)) = -105x/-105
g(f(x)) = x
f(x) and g(x) are inverses.
What is the domain of this function(picture attached)? Due in 2 hours, 15 points and I'll give Brainliest!
Answer:
[tex]x\geq 1[/tex]
B
Step-by-step explanation:
For square root functions, the domain is the restrictions on the x-variable.
Recall that you cannot take the square root of a negative. Thus, all values under the square root must be greater than or equal to 0. Thus, to find the domain, set the expression under the radical sign to greater than or equal to 0 and solve for x:
[tex](x-1)\geq 0[/tex]
Add 1 to both sides.
[tex](x-1)+1\geq 0+1\\x\geq 1[/tex]
Thus, the domain is:
[tex]x\geq 1[/tex]
All real numbers such that x is greater than or equal to 1.
Answer:
[tex]\huge \boxed{x \geq 1}[/tex]
Step-by-step explanation:
The domain of a function is all possible values for x.
There are restrictions on the value of x.
The number in the square root has to be greater or equal to 0 to be defined. Since the square root of a number lesser than 0 will be undefined.
[tex]x-1\geq 0[/tex]
Adding 1 to both sides.
[tex]x-1+1 \geq 0+1[/tex]
[tex]x\geq 1[/tex]
The domain of the function is [tex]x\geq 1[/tex]
All real numbers greater or equal to 1.
Describe a way in which the diagram above illustrates the unique line postulate.
A. Planes R. and s intersect at line AB.
B. There is exactly one line, m, through points B and D.
C. There is exactly one plane, S, through points A, B, and C.
D. Plane R. contains points A and B and line AB.
Answer:c
Step-by-step explanation:
a(2x+3) = 9x+15+x. Solve for a
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
[tex]a(2x + 3) = 9x + 15 + x \\ a = \frac{5(2x + 3) }{2x + 3} \\ a = 5 \\ [/tex]
Hoor it helps
The solution of the given expression a(2x+3) = 9x+15+x is 5.
What is an expression?
A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
Given the expression,
a(2x+3) = 9x + 15 + x
Divide both sides by 2x + 3
a = (9x + 15 + x)/(2x + 3)
a = (10x + 15)/(2x + 3)
a = 5(2x + 3)/(2x + 3)
a = 5
Hence "The solution of the given expression a(2x+3) = 9x+15+x is 5".
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in triangle DEF and triangle PQR where DE is 2cm ,EF is 3cm, angle DEF is 60 and PQ is 6cm ,QR is 9cm, and angle PQR is 60 show that these are similar triangle with the appropriate criteria
Answer:
ΔDEF is similar to ΔPQR by SAS similarity rule
Step-by-step explanation:
Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.GivenΔDEF, with details:
DE = 2 cm, EF = 3 cm, ∠DEF = 60°ΔPQR , with details:
PQ = 6 cm, QR = 9 cm, ∠PQR = 60°As we see, the ratio of corresponding sides is:
DE/PQ = EF/QR ⇔ 2/6 = 3/9 = 1/3And corresponding angles are:
∠DEF = ∠PQR = 60°Therefore, ΔDEF is similar to ΔPQR by SAS similarity rule
What is the sum of 23/25 + 9/30
Answer:
61/50
Step-by-step explanation:
1*a = a
1 = b/b
then:
23*25 * 1 = (23/25)(12/12) = (23*12)/(25*12) =276/300
9/30 *1 = (9/30)(10/10) = (9*10)/(30*10) = 90/300
then:
(23/25) + (9/30) = (276/300) + (90/300)
= (276+90)/300
= 366/300
= 122/100
= 61/50
The addition of the fraction 23/25 + 9/30 is equal to 61/50.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
'a/b' of a quantity means that quantity is first divided in 'b' parts, and then mutiplied by 'a', or,
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
1*a = a
1 = b/b
then:
23*25 * 1 = (23/25)(12/12)
= (23*12)/(25*12) =276/300
9/30 *1 = (9/30)(10/10)
= (9*10)/(30*10) = 90/300
Now add the terms;
(23/25) + (9/30) = (276/300) + (90/300)
= (276+90)/300
= 366/300
= 122/100
= 61/50
Therefore, the addition of the fraction 23/25 + 9/30 is equal to 61/50.
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what are points on the same line called
Answer:
parallell
Step-by-step explanation:
Answer:
collinear points
Step-by-step explanation:
A line is defined by two points and is written as shown below with an arrowhead. Two lines that meet in a point are called intersecting lines. A plane extends infinitely in two dimensions.
The girl's basketball team played a game this Wednesday. Here are some of the statistics for the players from
the game
The individuals in this set are:Choose 1 Answer
A.Basketball Games
B.Basketball Scores
C.Basketball Players
This data contains:Choose 1 Answer
A. 3variables,1 of which is quantitative
B. 3 variables,2 of which are quantitative
C. 5 variables, 1 of which is quantitative
D. 5 variables, 2 of which are quantitative
The individuals in this set are C) Basketball players
This is because it's listing all the player names with their associated stats.
====================================================
The data contains B) 3 variables, 2 of which are quantitative
The variables are
free throw percentageassistsclassThe first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.
This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.
What are quantitative variables?A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.
The quantitative variables are free throw percentage and the number of assists.
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what is 3x + 7 = 22
Answer: The value of x is = 5.
Step-by-step explanation:
So we are given the equation:
3x + 7 = 22
We just have to isolate 3x and move 7 to the other side:
3x = 22 -7
3x = 15
Now divide:
x = 15/3
x = 5
There you go!
Answer:
5
Step-by-step explanation:
22-7=15 and 15 divided by 3 =5
Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
The TV weather forecaster announces that one location has a 65% chance of hail tomorrow and a 10% chance of snow. What is the probability that it will hail or snow in this location? a 13/20 b 1/10 c 3/8 d 3/4
Answer:
b
Step-by-step explanation:
An empty can weighs 30 grams. The weight of the same can filled with liquid is 47.3 grams. Which equation could be used to find w, the weight of the liquid?
Answer:
w = y - x is the equation to find w
Where,
w = Weight of the liquid
x = Weight of the empty can
y = Weight of the can with liquid
Step-by-step explanation:
Let
Weight of the empty can = x
Weight of the liquid = w
Weight of the can with liquid = x + w = y
x= 30 grams
w = ?
y= 47.3 grams
y = x + w
w = y - x
= 47.3 - 30
= 17.3
w= 17.3 grams
Therefore, the weight of the liquid is 17 .3 grams
The length of a rectangle picture is 5 inches more than three times the width. Find the dimensions of the picture if it's perimeter is 74 inches.
Answer:
length = 29 incheswidth = 8 inchesStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 74 in
The statement
The length of a rectangle picture is 5 inches more than three times the width is written as
l = 5 + 3w
Substitute the expression into the above formula and solve for the width
That's
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 64
Divide both sides by 8
w = 8
Substitute this value into l = 5 + 3w and find the length
That's
l = 5 + 3(8)
l = 5 + 24
l = 29
The dimensions of the rectangle are
length = 29 inches
width = 8 inches
Hope this helps you
NEED AL THESE ANSWERED!!! 15 POINTS!!!
Simplify the expressions:
① -4c - 6d + 9c + 2d
Select one:
a. 5c - 4d
b. -5c - 4d
c. -4c + 5d
d. 5c + 4d
② 2(-y + 9) + 8y
Select one:
a. -6y + 18
b. -6y + 9
c. 6y + 18
d. 24y
③ -3(-4y + 5) - 8y
Select one:
a. -4y + 5
b. -11y
c. 4y - 15
d. -4y - 15
④ 6c - 8d + 3c +4d
Select one:
a. 9c - 4d
b. -4c + 9d
c. -9c - 4d
d. 9c + 4d
Number one:
-4c - 6d + 9c + 2d
~Combine like terms
(-4c + 9c) + (-6d + 2d)
~Simplify
5c - 4d (Option A)
Number two:
2(-y + 9) + 8y
~Distribute
-2y + 18 + 8y
~Combine like terms
(-2y + 8y) + 18
~Simplify
6y + 18 (Option C)
Number three:
-3(-4y + 5) - 8y
~Distribute
12y - 15 - 8y
~Combine like terms
4y - 15 (Option C)
Number four:
6c - 8d + 3c + 4d
~Combine like terms
(6c + 3c) + (-8d + 4d)
~Simplify
9c - 4d (Option A)
Best of Luck!
2p-9=5p+12 what’s the value of p
Answer:
-7
Step-by-step explanation:
2p-9=5p+12
2p-9-12=5p
-21=5p-2p
-21=3p
p= -21/3
p= -7
Answer: P=51
--
Steps for Solving Linear Equation: 20−9=5p+12
--
Subtract 9 from 20 to get 11.
[tex]11=5p+12[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]5p+12=11[/tex]
Subtract 12 from both sides.
[tex]5p=11-12[/tex]
Subtract 12 from 11 to get −1.
[tex]5p=1[/tex]
Divide both sides by 5.
[tex]p=5-1[/tex]
Fraction 5−1≈−0.2 can be rewritten as −51=−0.2 by extracting the negative sign.
[tex]p=-51[/tex]