Answer: The save $1134.48
Step-by-step explanation:
3912 x 0.29 = 1134.48
The amount of money that the family saves in a month will be $1,017.12.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A family has a month-to-month payment of $3912. Their month-to-month uses are displayed in the diagram underneath.
Rent 21%
Food 24%
Transportation 11%
Other Expenses 18%
Savings 26%
Then the amount of money that the family saves in a month is calculated as,
⇒ $3,912 x 0.26
⇒ $1,017.12
The amount of money that the family saves in a month will be $1,017.12.
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How to find x=?
How to solve step by step
Answer:
230 degrees
Step-by-step explanation:
draw a horizontal line from x and use congruent rule to have a full 360 degree circle. You can now subtract 60 and 70 from 360 degrees leaving you with 230 degrees as x
Convert the decimal or whole number to a percent. 0.32 1/2
simplify 1/x-10 / 9x/x2-9x-10
The simplified expression is [tex]\frac{-1}{9x} -9x - 10[/tex].
What is algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Here, the given expression
[tex]\frac{1}{x}+\frac{-10x/9}{x^2}-9x-10[/tex]
[tex]\frac{1}{x}+\frac{-10}{9x}-9x-10[/tex]
[tex]\frac{9-10}{9x} -9x -10[/tex]
[tex]\frac{-1}{9x} -9x - 10[/tex]
Thus, the simplified expression is [tex]\frac{-1}{9x} -9x - 10[/tex].
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Discuss the refusal of some individuals to answer questions by authorized Stats SA officials ?
Answer:
I think the letter B is a good idea for me to do the same as oneroure and I have a module that I can use to make sure that I have the right to use the periodic table to find the element name and its symbol then calculate the total amount of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between thank you
What is the quotient of 552/58
The quotient of 552/58 is 276/29.
What is the quotient of a number?The quotient of a number is the result or the outcome when you divide two numbers together.
From the given information, the quotient of [tex]\mathbf{\dfrac{552}{58}}[/tex] is can be determined by dividing both the numerator and the denominator by (2):
i.e.
[tex]\mathbf{=\dfrac{276}{29}}[/tex]
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How do we calculate=
x+5/x + x+8/x-1= ?
Answer:
⇒8(x−1)=5x
⇒8x−x=5x
⇒8x−5x=8
⇒3x=8
⇒x=
3
8
which properties justify the steps taken to solve the system?
{2x-4y=-6
{3x+2y=-1
drag and drop the answers into the boxes to match each step
Answers
Addition property of equality
division property of equality
multiplication property of equality
associative property of equality
subtraction property of equality
simplify
substitution property of equality
Answer:
X=-1
Y=1
Step-by-step explanation:
6x-12y
-18
) 6x + 4y
-
-2
Subtract the two equations
6x - 12y - (6x + 4y) = -18 - (-2)
Determine the sign
6x- 12y - 6x- 4y
=-18 + 2
Simplify
-12y
- Ay
=-18 + 2
Solve the equation
Substitute
6×+4
-2
Solve the equation
X=
Which graph shows the solution to the inequality?
Answer:
Option D graph
Step-by-step explanation:
x - 4 ≥ - 1
add 4 to both sides, x - 4 + 4 ≥ - 1 + 4
x ≥ 3
so x is greater than or equal to 3
- equal to means closed dot at 3
- greater than means arrow to the right of 3
What’s the value of x?
Find a. (f+ g)(x) b. (f+g)(7).
f(x) = 5x +2, g(x) = 5x – 1
a. (f+g)(x)=
Which of the following statements describe this sequence: 3, 6, 9, 12...?
I. This is an arithmetic sequence.
II. The expression used to find the nth term would be 3n.
III. The next term in the sequence is 36.
IV. The common ratio for this sequence is 3.
O I, II, III, and IV
O I, II, and IV
II and IV
I and II
The sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
3, 6, 9, 12…
First term a = 3
Common difference d = 6 - 3 = 3
This is an arithmetic sequence.
nth term of the arithmetic sequence:
a(n) = 3 + (n-1)(3)
a(n) = 3n
Plug n = 5
a(5) = 3(5) = 15
Thus, the sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
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NO LINKS!!!
Basics of Transformations
Students were asked to create true statements about transformations. Circle the names of the students who correctly completed the task. Then, unscramble the underlined letters of the circled names to answer riddle of the bottom.
Answer:
The 6 names to circle are:
LavernaAlfonsoAutumnIgnacioKathyrnLawrenceThe underlined letters from those circled names are:
RNONTUGRNWRThe letters form the phrase [tex]\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}[/tex] or "wrong turn". The spacing is done like that in the first version to show the various subgroups of letters.
Unfortunately the mentioned riddle at the bottom is cut off, so I don't know what the riddle is.
======================================================
Explanation:
Laverna is correct because a translation is applied. "Translation" in geometry settings means "shifting up/down/left/right". In this case, triangle JKL is shifted 5 units right and 3 units up.Alfonso is correct. If a figure is labeled ABCD going in clockwise orientation, then a translation will preserve said orientation. The orientation only flips when a reflection occurs.Autumn is correct. Why? Because reflections are isometries, meaning they preserve distances and lengths and angles. In other words, the two triangles are twin clones of each other.Willa is not correct. The prime notations go on the image and NOT the preimage. In other words, the prime notations go for the "after" and not the "before". Example: triangle JKL in Laverna's diagram is the preimage, while J'K'L' is the image. JKL is "before", and J'K'L' is "after".Ignacio is correct. The figure enlarges or shrinks (depending on the scale factor if its larger than 1, or smaller than 1). The orientation stays the same. Refer to Alfonso's scenario where I mentioned the orientation flipping only when a reflection happens.Napoleon is incorrect. A reflection ALWAYS changes the orientation. Consider a triangle ABC where the motions from A to B to C goes clockwise. A reflection will flip the orientation to make A to B to C go counterclockwise. Example: Reflections over non-horizontal lines swap the positions of left vs right, which is another way to see why the orientation swaps as well.Kathyrn is correct assuming no reflection operations are done.Titus is not correct. A rotation is not the same as a reflection. Though I should point out that two reflections simplify to a rotation. The mirror lines must intersect in some way. Parallel mirror lines will have two reflections lead to a translation.Lawrence is correct. The order P,Q,R is clockwise, and so is the order P', Q', R'. A rotation preserves orientation. In this case, a 180 degree rotation has been done. The rule for that is any (x,y) point turns into (-x,-y).Here's a summary table:
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Student} & \text{Are They Correct?}\\\cline{1-2}\text{Laverna} & \textbf{Yes}\\\cline{1-2}\text{Alfonso} & \textbf{Yes}\\\cline{1-2}\text{Autumn} & \textbf{Yes}\\\cline{1-2}\text{Willa} & \text{No}\\\cline{1-2}\text{Ignacio} & \textbf{Yes}\\\cline{1-2}\text{Napoleon} & \text{No}\\\cline{1-2}\text{Kathyrn} & \textbf{Yes}\\\cline{1-2}\text{Titus} & \text{No}\\\cline{1-2}\text{Lawrence} & \textbf{Yes}\\\cline{1-2}\end{array}[/tex]
Put another way, here are the people to circle (i.e. the people who made true statements):
LavernaAlfonsoAutumnIgnacioKathyrnLawrenceIn the order presented above, the letters underlined are:
RNONTUGRNWRThrough a bit of trial and error, the letters make the phrase of:
[tex]\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}[/tex]
I'm not sure what to do with the extra "RN". It might be a typo, or it might be the case your teacher wants you to ignore repeats like this.
the cost of a table is 5 times the chair what is the price of chair if the total is 1050
Answer:
the cost of the chair is 175.
Step-by-step explanation:
if the chair is x, the table will be 5x
now,
the equation formed will be,
5x+x = 1050
on solving,
6x= 1050
x= 1050÷6
x= 175
therefore, the cost of the chair will be x= 175.
and the cost of the table will be 5x= 5×175 = 875.
hope it helps!!PLEASE MARK BRAINLIEST ♡One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included.
What does the y-intercept represent in this situation?
the maximum weight allowed in a shipment
the minimum weight of a single box of screws
the minimum number of screws in a single box
the maximum number of single boxes for a shipment
Because x is the number of boxes in the shipment, we conclude that the correct option is "the maximum weight allowed in a shipment"
What does the y-intercept mean in this case?
Remember that for a function f(x), the y-intercept is given by f(0).
In this case, the graph represents the amount of allowed weight remaining in a shipment depending on the number of boxes of screws included.
Then the variable x represents "the number of boxes of screws in the shipment".
So when x = 0, there are no boxes.
Then the y-intercepts represents the remaining weight when there are no boxes of screws, which would be all the allowed weight on the shipment.
The correct option is:
"the maximum weight allowed in a shipment"
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Answer:
A
Step-by-step explanation:
the maximum weight allowed in a shipment
The circle passes through the point (−2, 3) with a center of (-4,6). What is its radius?
Answer:
radius = √13
Step-by-step explanation:
Forming the equation :
(x - h)² + (y - k)² = r²
(x, y) = point on circle(h, k) = center of circler = radiusSolving :
(-2 + 4)² + (3 - 6)² = r²r² = 4 + 9radius = √13find the sum. 1-2+3-4+5-6+7-8...99-100
Answer:
-50
Step-by-step explanation:
1 - 2 + 3 - 4 + 5 - 6 + 7 - 8...99 - 100
just means,
1 - 2 = -1
3 - 4 = -1
5 - 6 = - 1
7 - 8 = - 1
99 - 100 = -1
basically, -1 + -1 + -1 + -1 + ....+ -1 or -1 - 1 - 1 - 1 - ... - 1
[tex](-1)^{n}[/tex]
Treating Grandi's series as a divergent geometric series we may use the same algebraic methods that evaluate convergent geometric series to obtain a third value:
S = 1 − 1 − 1 + ..., so
1 − S = 1 − (1 − 1 − 1 ...) = 1 − 1 − 1 ... = S
1 - S = S
1 = 2*S
resulting in S = 1/2. The same conclusion results from calculating −S, subtracting the result from S, and solving 2S = 1
1/2 of the last term is 100 x 1/2 = 50
This because you are using 2 numbers per -1
example: 1 - 2 = -1 or 3 - 4 = -1 resulting in 50 of the -1 being subtracted
The cost of packing a box of chocolates is given by 1/4x^2, where x is the number of chocolates (a box can never have fewer than 3 chocolates). If the weight of a box of chocolates is given by x + 2, what is the cost of packaging per weight unit?
A.1/4x-1/2+1/x+2
B.1/4x^2-1/2x+1
C.1/4x^2-1/2+1
D.1/4x-1/2x-1/x+2
The cost of packaging the box of chocolates per weight unit is; ¹/₄x²/(x + 2)
How to Solve Algebra problems?We are given the cost of packing the box as;
C(x) = ¹/₄x²
where;
x is the number of chocolates
We are told that a box can never have fewer than 3 chocolates.
Now, the weight of a box of chocolates is given by; W(x) = x + 2
Thus, cost per unit weight is;
C(x)/W(x) = ¹/₄x²/(x + 2)
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How many quarts of pure antifreeze must be added to 2 quarts of a 20% antifreeze solution to obtain a 60% antifreeze solution?
The quantity of pure antifreeze that must be added to 2 quarts of a 20% antifreeze solution to obtain a 60% antifreeze solution 2 quarts
How to solve equation?
x = quarts of 100% antifreeze
You have 2 quarts of 20% antifreeze.
(100%)x + (20%)2 = 60%(x + 2)
100x + 40 = 60(x + 2)
100x + 40 = 60x + 120
100x - 60x = 120 - 40
40x = 80
x = 80/40
x = 2 quarts
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What is The converse of p→q
Answer:
q→p
Step-by-step explanation:
The converse of p→q is q→p.
which means If q ,then p.
What is the linear function equation represented by the graph? Enter your answer in the box. f(x) =
Answer:
f(x) = -1/2x + 1
Step-by-step explanation:
y intercept is +1
For slope, used points on the graph (2,0) and (0,1)
m= y2-y1/x2-x1
= (1-0)/(0-2)
= -1/2
-7(6 - 3m) = 26 + 4m
Answer:
4
Step-by-step explanation:
do distributive property first. -7 * 6 and -7 * 3
now you should have -42+21m = 26 + 4m
subtract 4m to the other side 21m-4m=17m
then add 42 to the other side which would give you 68
17m=68
17 divided by 17 =1
68 divided by 17=4
This is Raoul’s solution for the equation x^2-6x-27=0:
STEP 1: x^2-6x-27=0
STEP 2: x^2-6x-27+27=0+27
STEP 3: x^2-6x+?=27+?
STEP 4: x^2-6x+9=27+9
STEP 5: 〖(x-3)〗^2=36
STEP 6: √[(x-3)^2]=√36
STEP 7a: x-3=36
STEP 8a: x=39
STEP 7b: x-3=-36
STEP 8b: x=-33
The solution to the Raoul's equation x² - 6x - 27 = 0 is x = 9; or x = -3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
x² - 6x - 27 = 0
Adding 27 to both sides:
x² - 6x - 27 + 27 = 0 + 27
x² - 6x = 27
Adding to both sides the square of half the coefficient of x, that is 9:
x² - 6x + 9 = 27 + 9
(x - 3)² = 36
taking square root of both sides:
√(x - 3)² = √36
x - 3 = ±6
x = 3 ± 6
x = 3 + 6 or; x = 3 - 6
x = 9; or x = -3
The solution to the Raoul's equation x² - 6x - 27 = 0 is x = 9; or x = -3
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50 POINTS A point in the figure is selected at random. Find the probability that the point will be in the shaded region.
about 70%
about 80%
about 95%
about 67%
The first step that we need to take before attempting to solve the problem is to understand what the problem is asking us to do and what they are giving us to help solve the problem. Looking at the problem statement they are asking for us to determine the probability that a point will randomly be plotted in the shaded region. We are not given much of anything else which means that we will need to use our own numbers.
The picture that was provided has a square with four equal circles inside right next to each other. Therefore, we can say that each side of the square is going to be 2 units which causes the diameter of the circle to be half that or 1 unit. We can go even further and determine that the radius is going to be 0.5 units for each circle. Let's determine the area of all the shapes.
Area of the square
[tex]A_{square} = s^2[/tex][tex]A_{square} = (2\ units)^2[/tex][tex]A_{square} = (2)^2 * (units)^2[/tex][tex]A_{square} = 4\ units^2[/tex]Area of a circle
[tex]A_{circle} = \pi * r^2[/tex][tex]A_{circle} = \pi * (0.5\ units)^2[/tex][tex]A_{circle} = \pi * (0.5)^2 * (units)^2[/tex][tex]A_{circle} = \pi * (0.25\ units)^2[/tex][tex]A_{circle} = 0.7854\ units^2[/tex]The area that we got from the circle only gives us the area for one of the circles so we need to multiply the number by four to give us the total area of the circles.
Total area of the circles
[tex]A_{circles} = 0.7854\ units^2 * 4[/tex][tex]A_{circles} = 3.1416\ units^2[/tex]Now that we determined the area of both the square and the circles we can move onto the part of finding the probability of a point randomly landing on a circle.
Determine the probability
[tex]\textsf{probability = circles / square}[/tex][tex]\textsf{probability = } \frac{3.1416\ units^2}{4\ units^2}[/tex][tex]\textsf{probability = } \frac{3.1416}{4}[/tex][tex]\textsf{probability = } 0.785[/tex]However, now that we have determined what the probability, looking at the answer options we can see that all of the are in percentages. So let's convert our probability into a percentage.
Convert to percentage
[tex]\textsf{probability = } 0.785 * 100[/tex][tex]\textsf{probability = } 78.5\%[/tex]Therefore, looking at the options given, the option that would best fit this choice would be option B, about 80%.
Find the slope of the line containing the pair of points.
(2, -9) and (12,6)
Answer:
slope = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 9 ) and (x₂, y₂ ) = (12, 6 )
m = [tex]\frac{6-(-9)}{12-2}[/tex] = [tex]\frac{6+9}{10}[/tex] = [tex]\frac{15}{10}[/tex] = [tex]\frac{3}{2}[/tex]
Please help I need it asap
Answer:
The answer is origin
Answer: orgin
Step-by-step explanation: orgin
What is the measure of ø?
5 cm
20cm
Ø
Answer:
4 radians
Step-by-step explanation:
[tex]s = \theta r[/tex]
[tex]20 = 5 \theta[/tex]
[tex] \theta = 4[/tex]
If you draw a card out of a deck of cards at random, what is the probability
that you will draw a 6?
Answer:
[tex]\frac{1}{13}[/tex]
Step-by-step explanation:
Probability is the number of favorable outcomes divided by the number of total outcomes. The total outcomes are all the situations that could possibly happen. There are 52 cards in the deck, so there are 52 total outcomes. Next, the favorable outcomes are the outcomes we want. In this case it is drawing a 6. There are four 6's in a deck of cards: 6 of hearts, 6 of spades, 6 of diamonds, and 6 of clubs. This means there are 4 favorable outcomes.
We can write the probability as a fraction: [tex]\frac{favorable-outcomes}{total-outcomes}[/tex], so we can get [tex]\frac{4}{52}[/tex]. Since both 4 and 52 are divisible by 4, the fraction can be simplified to [tex]\frac{1}{13}[/tex].
Answer:
1/13
Step-by-step explanation:
that's the answer to the question
if u=6i-2j and v=-3i+7j, find u-v
[tex]\begin{cases} u=6i-2j\\\\ v=-3i+7j \end{cases}\qquad \begin{cases} < 6~~,~~-2 > \\\\ < -3~~,~~7 > \end{cases} \\\\[-0.35em] ~\dotfill\\\\ u-v\implies < 6~~,~~-2 > ~~ - ~~ < -3~~,~~7 > \\\\\\ < 6-(-3)~~,~~-2-7 > \implies < 6+3,-9 > \implies < 9,-9 > \implies 9i-9j[/tex]
. A chef randomly pulls cupcakes from a box containing 6 cupcakes of the same shape and size. There is 1 cupcake with vanilla frosting, 3 cupcakes with chocolate frosting, and 2 cupcakes with pink frosting. He draws 1 cupcake and then draws out another cupcake without replacing the first one. Find the probability of picking 1 cupcake with chocolate frosting followed by another cupcake with chocolate frosting, and show the equation used, and solve it.
Answer:
Step-by-step explanation:
there is a 50/50 chance of getting a chocolate cupcake. :P
What is the value of X in the equation 8X minus 2Y equals 48 when Y equals four
Answer:
It should be 7.
Step-by-step explanation:
If y = 4 multiply 2 by 4 equals eight, then you have 8x-8=48. Do the opposite of subtraction to both sides the 8 cancels on the left side add 8 to 48 you get 56 now all you have to is get x by it self to get that do the opposite of multiplication divide both sides by 8 and you should get 7.