Answers
[tex]Step^1:[/tex] we have to [tex]simplify[/tex] your factions
[tex]Like: [/tex] [tex]z - \frac{4}{9} - \frac{1}{3} = \frac{5}{9} [/tex]
[tex]Replace[/tex] the [tex]subtraction [/tex] symbol to the [tex]additional [/tex] symbol since [tex]adding[/tex] is the opposite of [tex]subtraction [/tex] (since we changed the symbols the first two fractions numerators becomes a negative)
Our problem becomes: [tex] z + \frac{-4}{9} + \frac{-1}{3} = \frac{5}{9} [/tex]
Let's gather all of our "[tex]like-terms[/tex]" (if we have any in this question/problem)
[tex]Like: [/tex] [tex]z + \frac{-4}{9} + \frac{-1}{3} \\ = \frac{5}{9} [/tex]
The step we just did when we [tex]solved [/tex] it gave us: [tex]z + \frac{-7}{9} = \frac{5}{9} [/tex]
For our last step: Let's [tex]Add [/tex] by the number/fraction [tex] \frac{7}{9} [/tex] on each of your sides that we're working with!
[tex]Like:[/tex] [tex]z + \frac{-7}{9} + \frac{7}{9} (Cancel) \\ = \frac{5}{9} + \frac{9}{9} (Keep) [/tex]
Therefore, we have came to our [tex]answer[/tex] , which is: [tex]z = \frac{4}{3} [/tex]
Good luck on your assignment and enjoy your day!
[tex]MeIsKaitlyn:)[/tex]
Sorry, I was late to answering your question :(
Related Questions
The function L = 0.8T2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?
A) 5.4 s
B) 4.9 s
C) 6.8 s
D) 6.1 s
Please help A.S.A.P
Answers
T^2 = L / 0.8
T = sqrt{ L / 0.8 }
T = sqrt{ 30 / 0.8 }
T = sqrt{ 37.5 }
T = 6.1 seconds
The correct answer is D) 6.1 seconds
Final answer:
Using the formula L = 0.8T², we find that a pendulum 30 ft long has a period of approximately 6.1 seconds, which corresponds to Option D.
Explanation:
The question is about finding the period, T, in seconds for a pendulum that is 30 ft long, using the formula L = 0.8T2. First, to solve for T given that L = 30, we rearrange the equation to T = √(L/0.8). Plugging in L = 30, we have T = √(30/0.8), which simplifies to T = √(37.5).
Calculating further, we find T ≈ 6.12 seconds. Therefore, the answer closest to the period in seconds for a pendulum that is 30 ft long is 6.1 seconds (Option D).
What is 8.63 repeating as a fraction?
Answers
8.63 = 8.63/1 = 86.3/10 = 863/100
When is it helpful to round the quotient to the nearest hundredths?
Answers
It's also helpful when there are a ton of digits, or you just want an approximate answer.
What is the edge length of a cube with the volume of 1,000 cubic feet.
Answers
Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.
Which describes the ingredients Brad uses to make one batch of snack mix?
Answers
c = cereal
m = mixed nuts
c = 3m
c + m = 6
3m + m = 6
4m = 6
m = 6/4
m = 3/2 or 1 &1/2 cup
then c = 3m
c = 3(3/2)
c = 9/2 or 4 &1/2 cup
Answer:
The answer is 4.5 cups of cereal and 1.5 cups of mixed nuts
Step-by-step explanation:
Let 'c' be the number of cups of cereal.
Let 'n' be the number of cups of mixed nuts.
One batch of his recipe makes 6 cups of snack mix, so equation becomes:
[tex]c+ n=6[/tex] ..... (1)
Also given that Brad uses 3 times as much cereal as mixed nuts, so equation becomes:
[tex]c=3n[/tex] ......(2)
Substituting (2) in (1)
[tex]3n+n=6[/tex]
=> [tex]4n=6[/tex]
=> [tex]n=1.5[/tex]
Since c = 3n, then
[tex]c=3*1.5=4.5[/tex]
So, the answer is 4.5 cups of cereal and 1.5 cups of mixed nuts.
A segment with endpoints X (6, 2) and Y (- 1, - 3) is rotated 90º about the origin. What are the coordinates of X Prime and Y Prime?
Answers
A segment with endpoints X (6, 2) and Y (- 1, - 3) when rotated 90 degrees about the origin will result in new endpoints X' (-2, 6) and Y' (3, -1).
Explanation:This problem deals with the concept of point rotation in a 2D coordinate plane around the origin. When any point (X, Y) is rotated 90 degrees counter-clockwise about the origin, the new position, let's say (X', Y'), can be calculated by using the formulas X' = -Y and Y' = X. Therefore, applying these rotations to the points X(6,2) and Y(-1,-3), we get X'(-2, 6) and Y' (3, -1). So, the endpoints X Prime and Y Prime of the rotated segment are (-2, 6) and (3, -1) respectively.
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After rotating a 90-degree rotation about the origin, the coordinates of X (6, 2) and Y (-1, -3) transform to X' (-2, 6) and Y' (3, -1) respectively.
Explanation:When a point (x, y) is rotated 90º counterclockwise about the origin, it transforms to (-y, x). Let's apply this rule to the endpoints X (6, 2) and Y (-1, -3).
The coordinates of X prime would be (-2, 6) that is, (-y, x).
The coordinates of Y prime would be (3, -1) that is, (-y, x).
Thus, the transformed coordinates for X and Y would be (-2, 6) and (3, -1) respectively after a 90-degree rotation about the origin.
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Which of the following describes the graph of {x | 1 < x < 2}? open circles on 1 and 2 open circles on 1 and 2, arrows pointing out open circles on 1 and 2, line segment between no solution
Answers
there will be open circle because there is no equal sign in the problem....there will be a line segment in between...because basically, u would put an open circle on 1, and open circle on 2 and shading in between
Answer:
open circles on 1 and 2
1. Find a counterexample.
If two angles are complementary, then they are not congruent.
Answers
Complementary angles are angles that add up to 90 degrees but may not have the same measure. A counterexample to the statement would be two angles that are complementary but not congruent.
Explanation:Complementary angles are angles that add up to 90 degrees. Congruent angles are angles that have the same measure.
A counterexample is a situation where the statement is false. In this case, a counterexample would be two angles that are complementary but not congruent.
For example, let's consider a 45-degree angle and a 45-degree angle. These angles are complementary because their sum is 90 degrees. However, they are not congruent because they have different measures.
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Consider the equation 5x+10=30 and 5(x+10)=30 Do they have the same solution? Why or why not?
Answers
- 10 -10 5x + 50 = 30
5x = 20 -50 -50
x = 4 5x = - 20
x = -4
They do not have the same solutions because 4 is not equal to -4
These two equations do not have the same solution. x = 4 for the first equation and x = -4 for the second equation.
Why are both equation different?In the equation 5x + 10 = 30, we are adding 10 to the product of 5 and x. To find x, we can first subtract 10 from both sides of the equation to get 5x = 20. Then we divide both sides of the equation by 5 to solve for x, giving us x = 4.
5x + 10 = 30
5x = 30 - 10
5x = 20
x = 20/5 = 4
In the equation 5(x + 10) = 30, we are first adding x and 10 together, then multiplying the result by 5. To solve for x, we can start by dividing both sides of the equation by 5 to get x + 10 = 6. Then we subtract 10 from both sides to solve for x, giving us x = -4.
5(x + 10) = 30,
5x + 50 = 30
5x = 30 - 50
5x = -20
x = -20/5 = -4
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Three (6‐sided) dice are thrown what is the probability that the same number appears on all three dice?
Answers
Finding the average values of the representative coordinates of the two endpoints of a line segment in a coordinate plane is also known as using the _______________ formula.
Answers
m = (x1 + x2)/2 , (y1 + y2)/2
Plz help! Convert 6/9 into fractions with a denominater of 27 A. 6/7 B.21/27 C. 9/27 D.18/27
Answers
Three member of a tug-of-war team weigh 163 pounds, 148 pounds. and 143 pounds. what must the fourth member weight if the average weight is 150 pounds?
Answers
N is between M and P. if MP=12 and NP=8, then what is the length of MN?
Answers
12-8=4
Liam uses checks and a debit card, but does it not always right all the transactions and his checkbook register. He has lost track of his checkbook balance. Liam looks up the "available balance" using online banking, and write it on the next line as his new checkbook balance available to spend. What is wrong with Liam's method
Answers
Answer:
All of the above is the answer
Step-by-step explanation:
Evaluate.
3+2⋅6
_____
3
Answers
A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches? Round to the correct significant digits. DO I ADD UNITS?????
Answers
Multiply the numbers to get: 9.00*4.25 = 38.25 which rounds to 38.3 because the answer must have three sig-figs.
The units will be "square inches" or "inches^2" or "in^2". There are various ways to write the units portion.
Overall, the final answer is 38.3 square inches.
In a circle whose radius is 4cm find the arc length intercepted by 30 degree angle
Answers
As per the radius and given angle the length of the arc will be equal to 2.09 cm.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
Radius, r = 4 cm
Angle, θ = 30°
The formula for an arc's length is stated as:
= 2πr(θ ÷ 360)
So,
The length of arc = 2π(4)(30/360)
The length of the arc = 2.09 cm.
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If you live in Dallas, then you live in Texas, what is the contrpositive of this?
Answers
If you live in Texas, you can live in Dallas.
Hope this helps!
Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). Pease show how!
Answers
using a second for it, since it's a horizontal line, then say hmmm we'll use the y-intercept, or (0, 1), so the equation of a line that passes through (2,1) and (0,1)
[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 2}}\quad ,&{{ 1}})\quad % (c,d) &({{ 0}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-1}{0-2}\implies \cfrac{0}{-2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=0(x-2)[/tex]
What is a correct first step in solving the inequality-4(3_5×)>_6×+9?
Answers
4*3-4*5*x>-6x+9
12-20x>-6x+9
8.0 × 105 + 6.0 × 107 = A. 14,000,000,000,000 B. 140,000,000 C. 60,800,000 D. 68,000,000
Answers
Solve for x. x/3≤−6
Answers
Answer:
Hence, the value of x is [tex]x\leq -18[/tex]
Step-by-step explanation:
Consider the provided inequity.
[tex]\frac{x}{3}\leq -6[/tex]
We need to solve the above inequity of x.
Multiply both the side by 3.
[tex]3\times\frac{x}{3}\leq 3\times -6[/tex]
[tex]x\leq -18[/tex]
Hence, the value of x is [tex]x\leq -18[/tex]
4. One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?
Answers
x = the age of Heather
One half of Heather's age two years from now plus one-third of her age three years ago is twenty years
(x + 2)/2 + (x - 3)/3 = 20
by solving the equation we find
x = 24 years
Mario purchases a prepaid phone plan for $50. Each minute he uses costs $0.13. How many minutes can Mario talk on this plan? Write an inequality that represents this problem and solve the inequality
Answers
Final answer:
Mario can talk for up to 384 minutes on his $50 prepaid phone plan. We use the inequality 0.13m ≤ 50 and solve for m to find the maximum number of whole minutes Mario can use.
Explanation:
To solve this problem, we need to set up an inequality that represents the constraints of Mario's prepaid phone plan budget. The inequality will help us determine the maximum number of minutes Mario can talk on this plan.
Let's use m to represent the number of minutes Mario can talk. We know that each minute of talk time costs $0.13, and Mario's prepaid plan is $50. Our inequality should reflect the fact that the total cost of talking m minutes cannot exceed his budget of $50.
The inequality will look like this:
0.13m ≤ 50
To solve for m, we divide both sides of the inequality by 0.13:
m ≤ 50 / 0.13
When we calculate 50 divided by 0.13, we get approximately 384.6154. Since Mario cannot talk for a partial minute on his prepaid plan, we round this number down to the nearest whole minute, which is 384 minutes.
Therefore, Mario can talk for up to 384 minutes on his prepaid phone plan.
To find the number of minutes Mario can talk on the prepaid phone plan, we can set up an inequality: 0.13x <= 50. Solving this inequality, we find that Mario can talk for a maximum of 384 minutes.
Explanation:To find the number of minutes Mario can talk on the prepaid phone plan, we can set up an inequality based on the cost. Let x represent the number of minutes. The cost of the phone plan is $50, and each minute costs $0.13. So, the inequality is: 0.13x <= 50. To solve this inequality, we divide both sides by 0.13 to isolate x and find: x <= 50 / 0.13. Using long division or a calculator, we can find that x is approximately 384.61, but since we can't have a fraction of a minute, the maximum number of minutes Mario can talk on this plan is 384 minutes.
The length of a rectangle is 3 inches less than 4 times the width. If the perimeter is 55 inches, what is the width of the rectangle?
Answers
width = x
P = 2(l+w)
55= 2(4x-3 +x)
55 = 2(5x-3)
27.5 = 5x-3
27.5+3 = 5x
30.5/5 = x
6.1=x
Width is 6.1 in, length (4 x 6.1 -3) = 21.4
The width of the rectangle is 6.1 in.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
Perimeter of the rectangle = 2(L + W) unit
WE have been given that length of a rectangle is 3 inches less than 4 times the width.
Length = 4x-3
width = x
If the perimeter is 55 inches, then
Perimeter of the rectangle = 2(L + W) unit
55= 2(4x-3 +x)
55 = 2(5x-3)
27.5 = 5x-3
27.5+3 = 5x
30.5/5 = x
6.1=x
Thus, Width is 6.1 in
The length (4 x 6.1 -3) = 21.4
Hence, the width of the rectangle is 6.1 in.
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Jessica has two strings. the first string measures 80 cm and the second string measures 64cm. she wants to cut the strings into equal lengths. of the least number of strings equal length is 16 what is the length of each string
Answers
Any please help me :) because this is due tomorrow
Answers
To solve these, separate the numerator and denominator:
40 - 10 = 30
3 + 2 = 5
30/5 = 6
(2+6)^2 = 64
4^3 = 64
64/64 = 1
Hope this helps!
The sum of two numbers is 64 . the larger number is 22 more than the smaller number. what are the numbers?
Answers
64-22 = 42
42/2 = 21
21+22 = 43
21 + 43 = 64
the numbers are 21 & 43
The larger number is 43 and the smaller number is 21.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The numbers will be calculated as:-
Let the larger number be L and the smaller number be S.
L + S = 64
From the given data the larger number is 22 more than the smaller number
L = S + 22
Put L = S + 22 in the above equation.
S + 22 + S = 54
2S = 64 -22
2S = 42
S = 42 / 2 = 21
L = S +22 = 21 + 22 = 43
Therefore, the larger number is 43 and the smaller number is 21.
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7.1 + 16.04 – .2 = ?
Answers
hope i helped
can i have brainlist
16.04
+------
23.14
00.20
-____
22.94 :)