Answers
Answer :
1) If x = 6
Substitute 6 for x in the expression.
a) 5x-9
5(6)-9
30-9
21
b) 2x-7
2(6) -7
12-7
5
c) 8x+5
8(6)+5
48+5
53
d) 4(x+3)
4(6+3)
4(9)
36
e) x²-(-4)
6²-(-4)
36+4
40
f) 3x²+1
3(6²)+1
3(36) +1
108+1
109
2) Solve
a) 54 = 3x
Divide both sides by 3.
54/3 = 3x/3
x = 18
b) x-9 = -3
Add 9 to both sides.
x-9+9 = -3+9
x = 6
c) x/7 = 140
Express the 140 over 1 and cross multiply.
x/7 = 140/1
x = 140×7
x = 980
d) x/8 = 72
Express the 72 over 1 and cross multiply.
x/8 =72/1
x = 72×8
x = 576
Related Questions
Jane bought a watch for $30 that she is going
to re-sell with a 15% markup price. How much
is Jane selling the watch for?
Step 1:
Step 2:
Step 3:
Answers
it's due by 12 am. please help as soon as possible
Answers
Answer:
Step-by-step explanation:
25. 5 < x < 7
▶ Use the part of the nutrition label on the right. If protein contains approximately 4 calories per gram, find the percent of calories from protein from one serving of this food. (Round to the nearest tenth of a percent.) ww. The percent of calories from protein from one serving of this food is %. Nutritional information per serving Calories 277 Protein Carbohydrate Fat 11g 45g 6g
Answers
The percent of calories from protein from one serving of the food is found as 15.88%.
What is defined as the term percentage?A relative value representing the hundredth part of any quantity One percent (denoted 1%) is one hundredth part; thereby the, 100 percent describes the entire amount and 200 % identifies twice the given amount.
For the given information;
The total calories is 277.
Nutrients information in food.
Protein - 11g
Carbohydrate - 45g
Fat - 6g
The protein contains 4 calories per gram.
Thus, 11 grams of protein contains 4×11 = 44 calories per grams.
Find the % content of protein out of 277 calories;
p% of 277 = 44
p% = (44×100)/277
p% = 15.88%.
Therefore, the percentage of protein contained in the serving food is 15.88%.
To know more about the percentage, here
https://brainly.com/question/24877689
#SPJ9
Rectangle ABCD is shown on the grid.
A
(-1,4) 14
3
+2+
4
-6-5-4-312-3₁
(-3-b
B(3,3)
34
C(1-5)
X
What is the area of rectangle ABCD in square units?
O 3√17 square units
O 6√17 square units
O
17 square units
O 34 square units
Answers
well, we know it's a rectangle, so we know the opposite sides are perpendicular, so if we just get say the sides AD as its length and BA as its width, that'd give us its area, since it'll just be AD * BA.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad D(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-4}) ~\hfill AD=\sqrt{(~~ -3- (-1)~~)^2 + (~~ -4- 4~~)^2} \\\\\\ ~\hfill AD=\sqrt{( -2)^2 + ( -8)^2}\implies \boxed{AD=\sqrt{68}} \\\\\\ B(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill BA=\sqrt{(~~ -1- 3~~)^2 + (~~ 4- 3~~)^2}[/tex]
[tex]~\hfill BA=\sqrt{( -4)^2 + (1)^2} \implies \boxed{BA=3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Area}}{(\sqrt{68})(3)\implies (\sqrt{2^2\cdot 17})(3)}\implies (2\sqrt{17})( 3)\implies \LARGE \begin{array}{llll} 6\sqrt{17} \end{array}[/tex]
A muffin recipe calls for one 3rd cup of milk and one 4th cup of oil how much liquid is needed for the recipe?
Answers
you have to find the least common denominator which is 12. then multiply 1 from 1/3 by 4 and 1 from 1/4 by 3 and then add 4/12 and 3/12 together.
3y+z=am-4y look for y
Answers
The value of y is am-z/7
How to calculate the value of y ?The expression is given as follows
3y +z= am-4y
The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side
3y + 4y= am-z
y(3+4)= am -z
7y= am-z
Divide both sides by the coefficient of y which is 7
7y/7= am-z/7
y= am-z/7
Hence the value of y in the expression is am-z/7
Read more on expression here
https://brainly.com/question/13591446?referrer=searchResults
#SPJ1
-2 ( 3x + 2 ) ≥ 6x – 4
Answers
Answer: x ≤ 0. Interval Notation: (-∞, 0]
Let f(x)=12x+7. Use algebra to find the inverse function f^-1(x).
Answers
Step-by-step explanation:
Replace x with y and y with x.
Then, try to isolate the y.
x=12y+7
x-7=12y
(x-7)/12=y
f^-1(x)=(x-7)/12
HELP ME OUT PLEASE!!!
What does the slope represent?
Answers
Answer:
there is a change of 2* per hour
Step-by-step explanation:
Answer:
The slope is 2
Step-by-step explanation:
Slope is rise/run
4/2=2
Answer for i^372
And i^527 with explanation please
Answers
[tex]i {}^{372} = 1 \\ i {}^{527 } = - i[/tex]
Step-by-step explanation:
Greetings !
Note that:-
[tex]i {}^{2n} = 1.\: if \: n \: is \: even \\ \: \: \: \: \: \: \: = - 1. \: if \: n \: is \: odd[/tex]
And also
[tex]i {}^{2n + 1} = i. \: if \: n \: is \: even \\ \: \: \: \: \: \: \: \: \: \: = - i.\: if \: n \: is \: dd[/tex]
Thus, remembering these general formula plug in values in the place of n and solve.
Therefore,
[tex]i {}^{2(186)} = i {}^{372} = 1[/tex]
where n is even thus its 1 from the above explanation
[tex]i {}^{2(263) + 1} = i {}^{527} = - i[/tex]
following the same procedure the values exceeds to be -i.
Hope it helps !!!
the price of the computer is 899$ the tax rate is 7% what is the sales tax on this computer in dollars and cents
Answers
The sales tax on this computer in 62 dollars and 93 cents
What is the sales tax on this computer in dollars and cents?The given parameters
Price = $899
Tax rate = 7%
The sales tax on this computer in dollars and cents is calculated as
Sales tax = Price * Tax rate
This gives
Sales tax = $899 * 7%
Evaluate
Sales tax = $62.93
Hence, the sales tax on this computer in 62 dollars and 93 cents
Read more about sales tax at:
https://brainly.com/question/9437038
#SPJ1
pleaseeee helppppp will give extra points
Answers
——————————[-4,8)
hope this helps
In the diagram, P is a point on ST such that P is between S and T. If SP = x + 3, PT =2x-1 and ST = 17, find the length of PT
Answers
Based on the given parameters, the numerical length of PT is 9 units
How to determine the length of PT?The given parameters are:
P is a point on ST such that P is between S and T.
SP = x + 3,
PT = 2x - 1
ST = 17
The statement "P is a point on ST such that P is between S and T" implies that
ST = SP + PT
Substitute the known values in the above equation
17 = x + 3 + 2x - 1
Evaluate the like terms
17 = 3x + 2
Add 2 to both sides of the equation
3x = 15
Divide both sides of the equation by 3
So, we have
x = 5
Substitute x = 5 in PT = 2x - 1
So, we have
PT = 2 x 5 - 1
Evaluate
PT = 9
Hence, the numerical length of PT is 9 units
Read more about lengths at
https://brainly.com/question/24571594
#SPJ1
7x + 3x + x⁴ divided by x-2
Answers
Answer:
10x + x^4/x-2
Step-by-step explanation:
Combine like terms
(10x + x^4)/(x-2)
Refer to the number line. Find the coordinate of point X such that the ratio of MX to XJ is 3:1.
Answers
The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12
How to determine the coordinate of point X?The coordinates are given as:
M = 2
J = 18
The ratio is given as:
Ratio = 3 : 1
The location of the point X is then calculated as:
X = Ratio * (J - M)
This gives
X = 3/(3 + 1) * (18 - 2)
Evaluate
X = 3/4* 16
This gives
X = 12
Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12
Read more about line segment ratio at:
brainly.com/question/12959377
#SPJ1
Step-by-step explanation:
show how to work out the question
Given the function h(x)=-x^2-5x+11h(x)=−x
2
−5x+11, determine the average rate of change of the function over the interval -8\le x \le 4−8≤x≤4.
Answers
The average rate of change of the function over the interval is -9.25
How to determine the average rate of change of the function over the interval?The given parameters are
h(x) = x^2 - 5x + 11
−8 ≤ x ≤ 4
Calculate h(4) and h(-8)
So, we have
h(4) = (4)^2 - 5(4) + 11 = 7
h(-8) = (-8)^2 - 5(-8) + 11 = 115
The average rate of change of the function over the interval is then calculated as
Rate = [h(4) - h(-8)]/[4 - -8]
This gives
Rate = [7 - 118/[12]
Evaluate
Rate = -9.25
Hence, the average rate of change of the function over the interval is -9.25
Read more about average rate of change at
https://brainly.com/question/8728504
#SPJ1
S= 1/2( a + b + c) solve for b
Answers
The solution of the equation for b is b = 2s - a - c
How to solve for b in the equation?The equation is given as
s= 1/2(a + b + c)
Multiply through by 2
So, we have
2s = a + b + c
Subtract a and c from both sides of the equation
b = 2s - a - c
Hence, the solution of the equation for b is b = 2s - a - c
Read more about equations at:
https://brainly.com/question/2972832
#SPJ1
could someone please help answer this.
Answers
Answer:
+ 12 yards
Step-by-step explanation:
8-3 = 5
5 + 12 - 5 = 12
Keaton is building a rectangle tabletop and wants to put a metal border around the edge.the length of the tabletop is 1.83 meters and the width is 0.74 meter. Use the formula p=l +2w to find the permit of the tabletop. Lesson 1-1
Answers
The perimeter of the given rectangle is a 3.31 meter.
According to the statement
We have to find that the perimeter of rectangle.
So, For this purpose, we know that the
Perimeter is the distance around the edge of a shape.
From the given information:
The length of the tabletop is 1.83 meters and the width is 0.74 meter.
Then the formula to find the perimeter is a
P =l +2w
Here substitute the values then
P =l +2w
P = 1.83 +2*0.74
Now add the terms to get a perimeter of the rectangle.
Then
P = 1.83 +1.48
P = 3.31.
So, The perimeter of the given rectangle is a 3.31 meter.
Learn more about perimeter here
https://brainly.com/question/19819849
#SPJ9
NO LINKS, WILL GIVE BRAINLIEST, please help me find the slope!!
Answers
Answer:
Step-by-step explanation:
30
a survey of 800 households revealed that 400 had only a TV, 100 had only a computer, and 100 had neither a tv nor a computer. how many households have both a tv and a computer?
Answers
The number of households which have both TV and computers are 200.
What is defined as the Boolean algebra (logical expressions)?Boolean algebra is a branch of algebra in math and mathematical logic where the value of the variables are indeed the truth values both true and false, typically represented 1 and 0, respectively.Synonyms, such as 'Yes' for 'True' as well as 'No' for 'False,' are sometimes used to represent the statement.Let A be the number of house hold having only TV = 400
Let B be the number of house hold having only computers = 100
Let C be the number of house hold having neither TV nor computer = 100
Let D be the number of house hold having both TV and computer.
Then, the number number of house holds are 800.
A + B + C + D = 800
Put the values;
400 + 100 + 100 + D = 800
D = 800 - 600
D = 200
Therefore, the number of households having both TV and computer are 200.
To know more about the Boolean algebra, here
https://brainly.com/question/2467366
#SPJ9
urgent please help!
Answers
Answer: 0.05t ==> 1st blank
1 ==> 2nd blank
-0.1t+6 ==> 3rd blank
Step-by-step explanation:
Identify the set of X-values for which f(X) is greater than or equal to 0.
Answers
The given function is greater than or equal to 0 for the interval given as follows:
{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.
When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.For this problem, with a closed interval, we have that the function is above for:
x ≤ -3, -1 ≤ x ≤ 0, x ≥ 2.
Hence the interval notation is:
{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Adult tickets to the museum cost $4, while student tickets
cost $3. If 105 tickets were sold for a total of $380, how
many of each were sold?
Answers
65 adult tickets were sold whereas 40 student tickets were sold as well
What approach is appropriate to solve the word problem?
The most suitable approach to determine the number of each type of tickets sold is by simultaneous equation such the word problems are modelled into equations which are solved together to ascertain the number of adult and student tickets sold altogether
let x be adult tickets sold
let y be student tickets sold
x+y=105........ equation 1
4x+3y=380........ equation 2
from equation 1, x=105-y
substitute for x in equation 2
4(105-y)+3y=380
420-4y+3y=380
420-y=380
420-380=y
40=y
y=40
x=105-40
x=65
Find out more about simultaneous equation on:https://brainly.com/question/15460038
#SPJ1
angle EFG and angle GFH are a linear pair, angle EFG=2n + 25 and angle GFH=4n + 17 what are angles EFG and GFH?
Answers
The angles EFG and GFH are 71 and 109 degrees
How to determine the angles EFG and GFH?The given parameters are:
EFG =2n + 25
GFH = 4n + 17
Linear pair angles are supplementary angles
So,we have
2n + 25 +4n + 17 = 180
Evaluate the like terms
6n= 138
Divide by 6
n = 23
Substitute n = 23 in EFG =2n + 25 and GFH = 4n + 17
EFG = 2 * 23 + 25 =71
GFH = 4 * 23 + 17 = 109
Hence, the angles EFG and GFH are 71 and 109 degrees
Read more about angles at:
https://brainly.com/question/25716982
#SPJ1
Use the factor theorem to write a polynomial equation that has solutions of 2, -2, and 4. (Hint: Suppose the solutions of a quadratic equation are 3 and 5. This means that x = 3 or x = 5 which gives us x - 3 = 0 or x - 5 = 0. The expressions are the factors of the polynomial which means that the equation is (x - 3)(x - 5) = 0.)
Answers
The equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.
What is the polynomial equation that has solutions of 2, -2, and 4?Roots are the points where the graph intercepts with the x-axis ( y = 0 ).
Given the roots in the question;
x = 2, -2, 3
Now, the root of x = 2 was found solving for x when x - (2) = y but y = 0.
Hence, (x - 2) is a factor.
Next, the root of x = -2 was found solving for x when x - (-2) = y but y = 0.
Hence, (x + 2) is a factor
And the root of x = 4 was found solving for x when x - (4) = y but y = 0.
Hence, (x + 2) is a factor
Now, combine all the factors into a single equation and simplify.
( x-2 )( x + 2 )( x - 4 ) = y
( x² + 2x - 2x - 4 )( x - 4) = 0
( x² - 4 )( x - 4) = 0
x( x² - 4 ) -4( x² - 4 ) = 0
x³ - 4x - 4x² + 16 = 0
x³ - 4x² - 4x + 16 = 0
x³ - 4x² - 4x + 16 = 0
Therefore, the equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.
Learn more about factor theorem here: https://brainly.com/question/24545336
#SPJ1
-10x—16=14
-16x -6 = 14
Answers
Answer: No solution
Step-by-step explanation:
-10x-16=14
-16x-6=14
-10x-16=-16x-6
-10x+16x-16=-16x+16x-6
6x-16=-6
6x-16+16=-6+16
6x=10
x=10/6
x=5/3
-16(5/3)-6=
-80/3-6*3/3=
-80/3-18/3=
(-80-18)/3=-98/3 [tex]\neq[/tex] 14
Hence, there is no solution
when simplifying rational expressions, the first step is to ______ the numerator and denominator
Answers
Answer:
DETERMINE COMMON FACTORS
Step-by-step explanation:
Can you help me solve for X. 4x+9=11
Answers
Answer as a fraction: x = 1/2
Answer in decimal form: x = 0.5
Work Shown:
4x+9 = 11
4x = 11-9
4x = 2
x = 2/4
x = 1/2
x = 0.5
Explanation: I subtracted 9 from both sides (step 2). Then I divided both sides by 4 to fully isolate x (step 4)
Use the given graph of f to find a number such that if 0 < |x − 3| < then |f(x) − 2| < 0.5.
Answers
Answer:
x=3, = -2
Step-by-step explanation:
