Welming's spending is $1164.8 and his savings is $291.2
How to determine the savings and the spending?The given parameters are:
Weekly pocket = $28
Save = 20%
There are 52 weeks in a year.
So, the yearly pocket is:
Yearly pocket = $28 * 52
Evaluate
Yearly pocket = $1456
He saves 20%.
So, we have:
Savings = 20% * $1456
Evaluate
Savings = $291.2
His spending is then calculated as:
Spending = $1456 - $291.2
Evaluate
Spending = $1164.8
Hence, Welming's spending is $1164.8 and his savings is $291.2
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1
2
4
10
01:28:2
solve x2 + 12x = -11 by completing the square. which is the solution set of the equation?
be
o {-11, -1}
o {-11, 1}
{11, -1}
o {11, 1}
Answer:
11
Step-by-step explanation:
Please solve it. It will help me for my exam preparation.
The solution of the given expression is [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
Given [tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex]
We have to solve the above expression.
We know that expression is a combination of numbers, symbols, variables and coefficients, indeterminants. Expression shows relationship between variables. LCM is the smallest number that is divisible by both the numbers whose LCM has been taken. Coefficients are present in the beginning of variables. Symbols are arithmetic signs like addition, subtraction, multiplication and division, etc.
We have to take LCM of the expression and solve accordingly so that the expression can be solved =
[tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex]= [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
Hence the expression [tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex] is equal to = [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
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Tanya planted seedlings in her garden over the weekend. The instructions that came with the seedlings stated that they need to be planted 0.2 meters apart. Tanya has a measuring tape that has values in centimeters. Help Tanya convert meters to centimeters.
Determine the ratio to use: .
Tanya should plant the saplings 20 centimeters apart.
1 meter is equal to 100 centimeters.
Multiply the given value by the ratio: .
i think they're supposed to be in order i cant figure it out, please help ToT!!
One meter is 100 cm so Tanya should plant the saplings 20 centimetres apart.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
As we know;-
1 meter is 100 cm so 0.2 meters will be calculated as:-
1 meter = 100 cm
0.2 meter = 0.2 x 100 = 20 centimeters.
Therefore One meter is 100 cm so Tanya should plant the saplings 20 centimetres apart.
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need help on this question
Answer:
3.5 and 3½
Step-by-step explanation:
Half of 7 is positive 3.5 aka 3½. It can't be -7/2 or -3.5 because they result in a negative number. It also can't be 7.2 because that's too big of a number.
Kaye bought 7 mangoes for $49, 4 apples for $24, and 3 oranges for $15. Which fruit is very cheap in price?
Answer:
oranges
Step-by-step explanation:
Answer: The oranges.
Step-by-step explanation: I'll set up my work below.
Mangoes: $[tex]49/7=7[/tex] =$7 per mango
Apples: $[tex]24/4=6[/tex]=$6 per apple
Oranges: $[tex]15/3=5[/tex]=$5 per orange
Given this, the cheapest fruit is the orange.
I hope this helps!! Pls mark brainliest :)
True or False: The minimum or maximum value on the graph of a quadratic function (parabola) is identified using the x-value of the vertex.
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month. Minutes 500 750 1,000 1,250 1,500 Total Monthly Cost (in dollars) $62 $77 $92 $107 $122Choose the correct linear model that represents the total monthly cost as a function of time. A y = 0.06 x + 500, B y = 16 x + 32,C y = 62 x + 16, D y = 0.06 x + 32 .
Answer:
ytyt
Step-by-step explanation:
tyt5667
لیا
Use the drawing tools to form the correct answer on the graph.
Graph the line that represents this equation:
y + 2 = (x+2)
Drawing Tools
Select
Point
Line
P
K
Click on a fool to begin drawing.
17
-10
-8
-6
-4
4
10-
8
06000
Undo
Resef
The graph is plotted and attached in the attachment. The given equation is a linear equation with the intercept 0.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as y = mx + c.
Given equation;
y + 2 = (x+2)
Rearrange the equation;
y + 2 = x+ 2
y=x
The standard equation for the straight line is;
y = mx + c
Where c is the intercept and m is the slope
After comparing the given equation with the standard equation we get;
m = 1
c =0
Hence,the graph is plotted and attached in the attachment.
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A five-digit integer will be chosen at random from all possible positive five-digit integers. What is the probability that the number's units digit will be less than 5
The probability that the number's units digit will be less than 5 is 0.5 that it is equal to 1/2.
Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
There are 10 possible digits, 0, 1, 2, ... 9 that make up the 5-digit number made up of integral values.
There are 5 digits that are less than 5 which are 0, 1, 2, 3, and 4 so the probability will be found by taking only those nubers which have unit's place less than 5,
By probability formula , Probability= no. of favourable outcomes/total no. of outcomes
So probability will be found that will be equal to 5/10, or 1/2
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The length of an arc of a circle is 26/9 pi
centimeters and the measure of the corresponding central angle is 65 degrees. What is the length of the circle's radius?
The radius will be equal to 7.55 centimeters.
What is the length of arc of the circle?The arc length is the curved length on the circumference of a circle suspended by a small angle.
The radius will be calculated as follows:-
r = [tex]\dfrac{Arc}{Angle}[/tex]
r = [tex]\dfrac{\dfrac{26\pi}{9}}{\dfrac{69\times \pi}{180}}[/tex]
r = [tex]\dfrac{9.07}{1.20}[/tex]
r = 7.55 centimeters
Therefore the radius will be equal to 7.55 centimeters.
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Suppose y varies directly as x, and y = 27 when x = 3. Find y when x = 4.
the initial statement is y ∝ x
to convert to an equation multiply by k the constant of variation
[tex]y = kx[/tex]
to find k use the given condition
[tex]y = 27 \\ \\ when \\ \\ x = 3[/tex]
[tex]y = kx \\ \\ k = \frac{y}{x} = \frac{27}{3} = 9[/tex]
equation is y = 9x
when x = 4 then
[tex]y = 9 \times 4 = 36.[/tex]
Answer:
y = 36
Step-by-step explanation:
given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 27 when x = 3 , then
27 = 3k ( divide both sides by 3 )
9 = k
y = 9x ← equation of variation
when x = 4 , then
y = 9 × 4 = 36
What is the length of DE?
A A
12
DXE
A. 6
B. 8
C. 5
D. 7
Answer:
A
Step-by-step explanation:
these two triangles are similar
therefore corresping sides are proportionate
12/8=9/x
12x=72
x=72/12=6
Answer:
the answer is 6
Step-by-step explanation:
i hope this is helpful
A. 21.50
B. 32.25
C. 30.15
D. 20.75
Answer:
B
Step-by-step explanation:
Similar to the one you asked earlier.
Given from the table
1 Gallon of gas = $2.15
15 gallons of gas = $2.15 x 15
= $32.25 (B)
In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is .
If the coordinates of point A are (0,6), the area of rectangle ABEF is square units, and the area of rectangle ACDF is square units.
The perimeter of rectangle BCDE is units.
Area of the rectangle is 96.05 sq.units , The ratio of the areas is 2/3 , Area of rectangle ABEF is 64.03 sq.units.
The complete question is
In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is(a)_____ . If the coordinates of point A are (0,6), the area of rectangle ABEF is(b)____ square units, and the area of rectangle ACDF is(c)____ square units. The perimeter of rectangle BCDE is(d)____ units.
What is a Rectangle ?A rectangle is a polygon with four sides and for angles and four vertices , Its opposite sides are parallel and equal.
The area of rectangle ACDF is square units. = ?
The perimeter of rectangle BCDE is units. = ?
[tex]\rm d = \sqrt{ (y_2 -y_1 )^2 + (x_2 -x_1)^2}\\\\\rm d = \sqrt{ (2 - 6 )^2 + (5 - 0)^2}[/tex]
d = 9.605
the length of [tex]\rm EF[/tex]
[tex]\rm FE[/tex] = 10 units.
and [tex]\rm FD[/tex] = 15 units
Area of a Rectangle [tex]\rm ACDF[/tex] is given by
Length x width
10 * 9.605
Area of the rectangle is 96.05 sq.units
Perimeter of a rectangle is = 2( length + breadth)
ED = FD-FE = 15- 10 = 5 units
Therefore
Perimeter = 2 ( 5 + √41 )
Perimeter = 22.81 units
Area of rectangle ABEF is 64.03 sq.units
The ratio of the areas
= 64.03/96.05
= 0.666667
= 2/3
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1. What is the number of possible outcomes of picking one letter at a time from the word ANGELES CITY?
2. What is the probability of drawing E?
3. What is the probability of drawing a vowel?
4. What is the probability of drawing a consonant?
5. What is the probability of drawing P?
Answer:
4
Step-by-step explanation:
5
Please help me with my math
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for z and x ~
[tex]\qquad \sf \dashrightarrow \: 82 + z = 180[/tex]
[ they form co-interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 82[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 98 \degree[/tex]
and
[tex]\qquad \sf \dashrightarrow \: z = (5x - 82)[/tex]
[ by Alternate interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: 98 = 5x - 82[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = 98 + 82[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 180 \div 5[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 36 \degree[/tex]
Answer:
z = 98
x= 36
Step-by-step explanation:
z + 82 = 180 -> due to same side interior angles adding up to 180
z = 180 - 82
z = 98
z = 5x - 82 due to opposite interior angles being equal
98 = 5x - 82
98+82 = 5x - 82+82
180 = 5x
180/5 = 5x/5
36 = x
To check:
z = 5x - 82
(98) = 5(36) - 82
98 = 180 - 82
The scatter plot shows the height of an alfalfa plant over a period of time. Click on the table that best matches the data in the scatter plot.
Based on the information provided, the table that best matches the data in the scatter plot is shown below.
What is a scatter plot?A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
Based on the information provided, the table that best matches the data in the scatter plot is given by:
Data 1 2 4 5.5 6.3
Height (cm) 1 2 3 4 5
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You buy 2 shirts and 1 pair of pants for $34. Your friend buys 3 shirts and 3 pairs of pants for $69. What is the price of 1 shirt and 1 pair of pants
You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?
First let’s define a shirt as X and pants as Y!
In the first scenario, the equation will be 3X + Y =$32
In the second scenario, the equation will be 2X + 3Y = $40
Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!
3X + Y= $32—> subtract 3X on both sides of the equation
-3X. - 3X
Net result: Y= 32- 3X
Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable
2X + 3(32-3X) = $40
2X + 96 - 9X = $40 —> simplify the equation
-7X + 96 = $40 —> substrate 96 from both sides
-7X = -56 —> divide both sides by -7
X= 8
Now reinsert 8= X into 3X + Y = $32
3(8) + Y = $32
24+ Y = $32 —> substract 24 from both sides
y = 8
ANSWER: X= 8, Y= 8
What is the additive inverse of x=-1317, and verify -(-x) = x ?
Answer:
1317 is the additive inverse of x = -1317.
Step-by-step explanation:
Additive inverse of a number which when added to the original number gives zero as the result.
Additive inverse of x = -1317
-1317 + 1317 = 0
1317 is the additive inverse of x = -1317.
Verification of -(-x) = x
L. H. S
-(-x) = -{-(-1317)}
= - 1317
R. H. S
x = -1317
Thus, L.H.S. = R.H.S
-(-x) = x
Verified
Solve x - 6 = 8.
O A. x = 14 and x = -2
B. x=-14 and x = 2
OC. x 14 and x = -14
-
OD. x = -14 and x = −2
Step-by-step explanation:
please mark me as brainlest
15 trucks can carry 26,850 kg weight. Find the weight carried by one truck.
[tex] \huge\underline{\underline{\boxed{\color{blueviolet}{ANSWER}}}}[/tex]
★ 15 trucks can carry 26,850 kg weight
★ We've to find the weight carried by one truck
[tex]\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}[/tex]
[tex] \sf{Number \: of \: trucks = 15 }[/tex]
[tex] \sf{Weight \: carried \: by \: one \: truck = \frac{26,850Kg}{15} }[/tex]
[tex] \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= 1790Kg[/tex]
Therefore , the weight carried by one truck is 1790 kg
what is the correct arangement of 3-6x-2x^2+3x-6x^2+2
Answer:
-8x²-3x+5
Step-by-step explanation:
First, add like terms.
3-6x-2x²+3x-6x²+2=
= 5-3x-8x²
Put it in standard form. To put in standard form, put the exponent from greatest to least.
-8x²-3x+5.
Hope this helps!
If not, I am sorry.
Analyze the diagram below and complete the instructions that follow.
/
Find the value of x.
A.
4
B.
5
C.
6
D.
9
Please select the best answer from the choices provided
A
B
C
D
The value of x will be 4 , Option A is the answer.
What is a Right Angled Triangle ?A triangle that has one angle as 90 degree is called a Right angled Triangle.
In a right angled triangle
the length of the sides can be determined using Pythagoras Theorem
The length of the side is given in the image attached as
x-2 , x , √20
Hypotenuse ² = Perpendicular² + Base²
(√20)² = x² + (x-2)²
20 = x² + x² +4 -4x
2x²-4x -16 = 0
x² -2x -8 = 0
x² - 4x +2x -8 = 0
x (x-4) +2(x-4) = 0
(x+2)(x-4) = 0
x = -2 , 4
The value of x will be 4 .
Therefore Option A is the answer.
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what can this be classified as?
Answer:
D. None of the Above
Step-by-step explanation:
They don't relate whatsoever
Jej pls help i need help thank you
Answer:
Largest total : [tex]\mathsf {\frac{69}{20}}[/tex]
Smallest total : [tex]\mathsf {\frac{121}{40} }[/tex]
Step-by-step explanation:
Finding the largest total :
The greatest 2 numbers are 7/4 and 1 7/10⇒ 7/4 + 1 7/10⇒ 7/4 + 17/10⇒ 35/20 + 34/20⇒ 69/20Finding the smallest total :
⇒ 1 3/8 + 33/20⇒ 11/8 + 33/20⇒ 55/40 + 66/40⇒ 121/40Answer:
Largest Totals : 69/20
Smallest Totals : 121/40
Step-by-step explanation:
Given:
Charlie adds together two of his four number cards. Find the largest and smallest totals that Charlie can make. Give your answers as improper fractions in their simplest form.
Solve:
First let change all to improper fractions:
7/4 {already a improper fractions}
1 3/8 = 11/8
1 7/10 = 17/10
33/20 {already a improper fractions}
Thus we have:
7/4
11/8
17/10
33/20
According to the solving above ,
⇒ 70/40 , 55/40, 68/40, 66/40
⇒ 70/40 > 68/40 > 66/40 > 55/40
⇒ 7/4 > 1 7/10 > 33/20 > 1 3/8
⇒ Largest Totals : 7/4 + 1 7/10 = 69/20 = 3 9/20
⇒ Smallest Totals : 33/20 + 1 3/8 = 121/40 = 3 1/40
Since, it says given your answers as improper fractions in their simplest form:
Thus,
Largest Totals : 69/20
Smallest Totals : 121/40
RevyBreeze
I’m not good at math PLEASE HELP
The area of a square is given by and the perimeter is given by , where s is the side length of the square.
If the side length of a square is 4 inches, its area is
square inches and its perimeter is
inches.
The area of the square is 16 square inches and its perimeter is 16 inches.
What is Area of square ?
A square is a two-dimensional geometric shape with four equal sides and four right angles. The area of a square is the measure of the region enclosed by the square. The area is expressed in square units, such as square inches, square meters, or square feet.
The area of a square is given by the formula:
A = s²
where A is the area and s is the length of a side.
If the side length of the square is 4 inches, the area can be calculated as:
A = 4² = 16 square inches.
The perimeter of a square is given by the formula:
P = 4s
where P is the perimeter and s is the length of a side.
If the side length of the square is 4 inches, the perimeter can be calculated as:
P = 4 x 4 = 16 inches.
Therefore, the area of the square is 16 square inches and its perimeter is 16 inches.
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Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expression for x=7.
Input (x) Output
0 1
1 5
2 25
3 125
4 625
The exponential function is used. Use x as your variable common ratio.
This is pretty obviously
If it wasn't obvious we can find the common ratio r by dividing successive values:
5/1=5
25/5=5
125/25=5
625/125=5
What is the common ratio?
The common ratio is the number you multiply or divide by at each stage of the sequence. You can find it by dividing two consecutive pairs of terms.
That's the common ratio. We multiply by the first term, but the first term is one, so that has no effect.
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A (-3,6) B (-1, 3) Find the gradient of the line
Step-by-step explanation:
please mark me as brainlest
Multiply (5z + 6)(2z + 1)(2z - 1)
Pls help and explain WELL ty
Answer:
[tex]\huge\boxed{\sf 20z\³ + 24z\² - 5z - 6}[/tex]
Step-by-step explanation:
Given expression:= (5z + 6)(2z + 1)(2x - 1)
Using formula (a + b)(a - b) = a² - b²= (5z + 6)[(2z)² - (1)²]
= (5z + 6)(4z² - 1)
Distributing
= 5z (4z² - 1) + 6(4z² - 1)
= 20z³ - 5z + 24z² - 6
Arrange
= 20z³ + 24z² - 5z - 6
[tex]\rule[225]{225}{2}[/tex]