Final answer:
Stephanie's annual income is $49,348, while Tahlia's is $45,852, making Stephanie's weekly earnings $67.61 higher than Tahlia's. Stephanie earns $949.38 per week, and Tahlia earns $881.77 per week.
Explanation:
To calculate each person's equivalent annual income, we must standardize their earnings to a common time frame. We consider a year to have 26 fortnights and 12 months.
Stephanie's Annual Income
Stephanie is paid every fortnight, so we multiply her fortnightly income by the number of fortnights in a year:
$1898 per fortnight x 26 fortnights per year = $49,348 per year.
Tahlia's Annual Income
Tahlia is paid monthly, so we multiply her monthly income by the number of months in a year:
$3821 per month x 12 months per year = $45,852 per year.
To determine who earns more per week, we divide the annual income by the number of weeks in a year (52). Stephanie earns $949.38 per week ($49,348 / 52), while Tahlia earns $881.77 per week ($45,852 / 52). Stephanie earns more per week by:
$949.38 - $881.77 = $67.61.
Therefore, Stephanie earns $67.61 more than Tahlia per week.
What is the area of the trapezoid? A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters. 176 cm2 192 cm2 208 cm2 224 cm2
Answer:
176
Step-by-step explanation:
option a ( 176 cm²)
A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters.
To find the area, we use the formula for the area of a trapezoid:
Area = 1/2 × (Base1 + Base2) × Height
Here, Base1 is 12 cm,
Base2 is 10 cm, and
the height is 16 cm.
the sum of the bases:
12 cm + 10 cm
= 22 cm.
Multiply by the height:
22 cm × 16 cm
= 352 cm².
Divide by 2 to get the area:
352 cm² ÷ 2
= 176 cm².
So, the area of the trapezoid is 176 cm².
Solve for x and y
y = 2x + 1
y = 4x - 1
Answer:
y=3 x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+1=4x−1
Step 1: Subtract 4x from both sides.
2x+1−4x=4x−1−4x
−2x+1=−1
Step 2: Subtract 1 from both sides.
−2x+1−1=−1−1
−2x=−2
Step 3: Divide both sides by -2.
−2x
−2
=
−2
−2
x=1
then
y=(2)(1)+1
Answer:
y=3
I really need help this is math
Answer:
x=-18
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well we'd just solve the equation!
-7+1=-1+x/3+1
-6*3=x/3*3
x=-18
And to check:
-1+-18/3
-1-6=-7
^u^
(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥
˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜
-7 = -1 + [tex]\frac{x}{3}[/tex]
To solve this you must isolate x.
On the right side of the equation the one is negative. To cancel the -1 from the right side you must add 1 to both sides (what you do to one side you do to the other) since addition is the opposite of subtraction (negative). Doing this will make -1 zero on the right side of the equation and bring it over to the left side
-7 + 1 = -1 + 1 + [tex]\frac{x}{3}[/tex]
-6 = 0 + [tex]\frac{x}{3}[/tex]
-6 = [tex]\frac{x}{3}[/tex]
The x is being divided by 3 and the opposite of division is multiplication. To completely isolate x you must multiply 3 to both sides. This will cancel the three out on the right side of the equation and bring it over the left side.
-6 * 3 = [tex]\frac{x}{3}[/tex] * 3
-18 = x
Now check:
-7 = -1 + [tex]\frac{-18}{3}[/tex]
-7 = -1 + (-6)
-7 = -7
^^^This is true which means that x = -18
I hope this helped! Let me know if you have any questions
~Just a girl in love with Shawn Mendes
Simplify in terms of i: square root of -36
Answer:
6i
Step-by-step explanation:
[tex]\sqrt{-36} = \sqrt{36} * i = 6 * i = 6i[/tex]
The square root of a negative number can always be simplified by doing this:
1) take the negative sign out of the square root.
2) multiply by i.
Un estudiante planifica gastar 2/5 de sus ganancias en su educación. Si se gana 25000 este año, cuanto planifica gastar en su educación?
For this case we have:
A student plans to spend 2/5 of his earnings on his education. If you earn 25,000 this year, how much do you plan to spend on your education?
x: Let the variable that represents the student's earnings
y: Let the variable that represents the planned expenditure for education
If you plan to spend[tex]\frac {2} {5}[/tex] of your earnings on education we have:
[tex]y = \frac {2} {5} x[/tex]
According to the statement we have to:
[tex]x = 25,000[/tex]
So:
[tex]y = \frac {2} {5} (25000)\\y = 10,000[/tex]
Thus, the student plans to spend 10,000 on his education
Answer:
10,000

The graph shows Cathy's math grade over the semester. Which situation could the graph represent?

A)Cathy's grade starts out high, then drops, then evens out to what it started as.B)Cathy's grade remains the same throughout the semester.C)Cathy's grade starts out low, the rises, then drops again.D)Cathy's grade starts out low, drops even lower, and then rises at the end of the semester.
Answer:
The answer is C Usatesprep
Step-by-step explanation:
Answer
The correct answer for this problem is
A)Cathy's grade starts out high, then drops, then evens out to what it started as.
Step-by-step explanation:
I know this because I just took the test
Curriculum 2.0 Geometry: Unit 3-Topic 1, SLT 9
Applying Volume Formulas to Pyramids and Cones
3. Determine the volume of the cone shown below. Give your answers in terms of u and then round your
answer to the nearest thousandth.
V = 58.667pi
4. Find the dimensions of a cone that is similar to the one given above and sketch the cone.
Explain how you determined your answers.
Answer:
3.) 200. Or in exact terms 184.3078162
4.) What?
Step-by-step explanation:
17. Only tenth-, eleventh-, and twelfth-grade students
attend Washington High School. The ratio of tenth
graders to the school's total student population is
86:255, and the ratio of eleventh graders to the
school's total student population is 18:51. If 1 student
is chosen at random from the entire school, which
grade is that student most likely to be in?
Answer: Eleventh Grade
Step-by-step
The ratio of tenth graders to the school's total population is 86:255 = 33.7%.
The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.
Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.
When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.
Teresa bought 16 roses for $20.64.how much did she pay for each rose
You can do this:
20.64/16 = x/1
The numerator is the price, and the denominator is the number of roses. Using this formula, x would equal 1.29. This means Each rose cost $1.29.
There are 30 mystery books in Chin's
book collection. If 6% of his books
are mysteries, how many books does
Chin have in his collection?
Which of the following values in the set below will make the equation 4x + 2 = 18 true? (Only input the number.) {0, 1, 2, 3, 4} Numerical Answers Expected! Answer for Blank 1:
Answer:
The answer is 4
Step-by-step explanation:
Substitute 4 for x and you get 4(4)+2=18.
Do y’all the answer?
Length = 12 m and width = [tex]\frac{7}{2}[/tex] m.
Solution:
Let the width of the rectangle be w.
Length of the rectangle = 2w + 5
Area of the rectangle given = 42 m²
Area of the rectangle = length × width
length × width = 42
(2w + 5) × w = 42
[tex]2w^2+5w=42[/tex]
Subtract 42 from both sides, we get
[tex]2w^2+5w-42=0[/tex]
Using quadratic formula,
[tex]$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
Here, [tex]a=2, b=5, c=-42[/tex]
[tex]$w=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-42)}}{2 \cdot 2}[/tex]
[tex]$w=\frac{-5 \pm \sqrt{25+336}}{4}[/tex]
[tex]$w=\frac{-5 \pm \sqrt{361}}{4}[/tex]
[tex]$w=\frac{-5 \pm19}{4}[/tex]
[tex]$w=\frac{-5+19}{4}, w=\frac{-5-19}{4}[/tex]
[tex]$w=\frac{14}{4}, w=\frac{-24}{4}[/tex]
[tex]$w=\frac{7}{2}, w=-6[/tex]
Dimension cannot be in negative, so neglect w = –6.
Width of the rectangle = [tex]\frac{7}{2}[/tex] m
[tex]$L=2(\frac{7}{2} )+5=12 \ m[/tex]
Hence length = 12 m and width = [tex]\frac{7}{2}[/tex] m.
Identify a possible first step using the elimination method to solve the system and then find the solution to the system.
2x - 5y = 11
3x + 2y = 7
Multiply first equation by 3 and second equation by 2. solution (5, 1)
Multiply first equation by 2 and second equation by - 3 solution (3-1)
Multiply first equation by -3 and second equation by-2. solution (3.1).
Multiply first equation by -3 and second equation by 2. solution (3,-1) |
[tex]\bf \begin{array}{lcrrrrr} 2x-5y=11&\stackrel{\stackrel{\textit{\large first step}}{\downarrow }}{\times -3}\implies &-6x&+&15y&=&-33\\ 3x+2y=7&\times 2\implies &6x&+&4y&=&14\\\cline{3-7} &&0&+&19y&=&-19 \end{array} \\\\\\ y = \cfrac{-19}{19}\implies \boxed{y=-1} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{2x-5(-1)=11\implies 2x+5=11}\implies 2x=6\implies x = \cfrac{6}{2}\implies \boxed{x = 3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (3~~,~~-1)~\hfill[/tex]
please help i will give brainlest answer
Answer:
1.27
Step-by-step explanation:
Which answer best describes the shape of this distribution?
bell-shaped
skewed right
skewed left
uniform
Answer: B
Step-by-step explanation:
2. Fred and Mary Merrill want to purchase a new car. The car has a base
price of $16,700, options totaling $1.095, and a destination charge of
$325. They read in a consumer magazine that the dealer's cost for the car
is 90 percent of the base price and 87 percent of the options price. What
should they estimate as the dealer's cost? *
O
$15,764.40
O
$15,806.65
O
$16,275.15
O
$16,307.65
To estimate the dealer's cost, calculate 90% of the base price and 87% of the options price. Add the dealer's cost of the base price and options price to find the estimated dealer's cost.
Explanation:To estimate the dealer's cost, we need to find 90% of the base price and 87% of the options price.
90% of $16,700 (base price) = $16,700 x 0.90 = $15,03087% of $1,095 (options price) = $1,095 x 0.87 = $952.65Adding the dealer's cost of the base price and options price: $15,030 + $952.65 = $15,982.65Therefore, the estimated dealer's cost is $15,982.65.
Learn more about Estimating dealer's cost here:https://brainly.com/question/29291566
#SPJ12
Select the equivalent expression.
(a-2.87)?=?
Two expressions are equivalent if we can arrange one of them in order to match the other. If we evaluate the two expressions for certain values in the input, we must get the same value in the output. In this exercise, we have the following expression:
[tex]a-2.87[/tex]
There are infinitely many equivalent expressions. We can write some of them:
[tex]\bullet \ 2a-a-2.87 \\ \\ \bullet \ a-1-1.87 \\ \\ \bullet \ 5a-4a-5.87+3[/tex]
Because when simplifying these expressions we get:
[tex]a-2.87[/tex]
A pet store sold 145 bags of beef flavored dog food and 263 bags of cheese-flavored dog food. How many bags of dog food were sold?
Answer:
408 bags of dog foods were sold
Step-by-step explanation:
145 bags of beef flavored dog food
+
263 bags of cheese flavored dog food
=
408 bags of dog foods were sold.
seven times a number is twenty-one. rewrite the sentence using algebric symbols.
i need help
Answer:
the correct answer is 7*x=12 or 7x=21
Answer:
n= number
7n=21
then if it asks for an answer, just solve it like you usually would
Which is the best description for the graph?
The graph is increasing everywhere.
The graph is decreasing everywhere.
The graph is increasing, then decreasing.
Answer:
The graph is decreasing everywhere, the second option.
Step-by-step explanation:
Took the test.
Select the correct answer.
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
OA y= 3x + 4
O B. y= 3x - 14
OC. y= 3x-4
OD. y = 3x + 12
Answer:
y=3x+4
Step-by-step explanation:
The equation of the straight line that passes through (-3,-5) with slope 3 can be found using
[tex]y = mx + b[/tex]
where m=3 is the slope .
We substitute the slope to get:
[tex]y = 3x + b[/tex]
We substitute the point to find b.
[tex] - 5 = 3( - 3) + b \\ - 5 = - 9 + b \\ b = - 5 + 9 = 4[/tex]
The equation of the straight line is:
[tex]y = 3x + 4[/tex]
Answer:a
Step-by-step explanation:
pls help! will give brainlist!
find the volume of the figure above in cubic centimeters.
A. 56 cm³
B. 96 cm³
C. 16 cm³
D. 14 cm³
Answer:
volume is b=96cm^3
Step-by-step explanation:
Mr. Bart needs to spend less than $40 on cups and plates for a cookout. He bought the plates he needed for $24. The packages of cups cost $4 each. How many packages of cups, x, can he buy?
Answer: 4 cups
Step-by-step explanation: 40 - 26 = 16
16/4 = 4
Mr Bart can buy 4 packages of cups. $4 times 4 packages is $16 and 16 + $24 = $40. Hope this helps
Evaluate 8+(-25)+16-(-25)-16
Answer:
The answer is 8 hope this helps
To evaluate the expression [tex]8 + (-25) + 16 - (-25) - 16[/tex], we need to follow the order of operations, which is:
1. Perform any operations inside parentheses or brackets. 2. Evaluate any exponents or powers. 3. Perform multiplication and division from left to right. 4. Perform addition and subtraction from left to right. Let's break down each step of the calculation:
Step 1: Parentheses or brackets There are no parentheses or brackets in the expression. Step 2: Exponents or powers There are no exponents or powers in the expression. Step 3: Multiplication and division There is no multiplication or division in the expression. Step 4: Addition and subtraction Now, we can perform the addition and subtraction from left to right:
[tex]8 + (-25) + 16 - (-25) - 16 = -17 + 16 - (-25) - 16[/tex] simplified
[tex]8 + (-25)[/tex] to [tex]-17) = -17 + 16 + 25 - 16[/tex] [tex]simplified[/tex] [tex]-(-25) to +25) = 8[/tex]
([tex]simplified[/tex] [tex]-17 + 16 to -1[/tex], and [tex]-1 + 25 to +24[/tex] , and[tex]24 - 16 to 8[/tex])
Therefore, the value of the expression [tex]8 + (-25) + 16 - (-25) - 16[/tex] is 8. In summary, when evaluating the given expression, we followed the order of operations and calculated the value step by step. The final result is 8.
To know more about Parentheses visit:
https://brainly.com/question/3572440
#SPJ2
PLEASE HELP!! Will grant brainliest !!!
In the diagram below DE is parallel to XY what is the value Y
Those are consecutive interior angles of a transversal across parallel lines. That mouthful means they're supplementary, adding to 180°.
Answer: B. 75
If a car travels at an average rate of "x" miles per hour, how many miles will the car travel in six hours? A) 6x B) x + 6 C) x 6 D) 6 x
The total number of miles the car can travel in 6 hours is A. 6x miles per hour
To calculate the miles the car will travel in six hours
By using the formula of Distance = Rate * Time
Given that,
Average rate is given as "x" miles per hour
the time = 6 hours
To calculate the total miles in 6 hours = x * 6 miles per hour
Total miles = 6x miles per hour
Therefore, the total number of miles the car can travel in 6 hours is 6x miles per hour
Find the distance from N to T.
a.) 29
b.) square root of 14
c.) 7
d.) square root of 29
Answer:
The distance from N to T is : [tex]\sqrt{29}[/tex] or (square root of 29)
Step-by-step explanation:
From the given the diagram
N(-2, -1)T(3, 1)[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\mathrm{The\:distance\:between\:}\left(-2,\:-1\right)\mathrm{\:and\:}\left(3,\:1\right)\mathrm{\:is\:}[/tex]
[tex]=\sqrt{\left(3-\left(-2\right)\right)^2+\left(1-\left(-1\right)\right)^2}[/tex]
[tex]=\sqrt{\left(3+2\right)^2+\left(1+1\right)^2}[/tex]
[tex]=\sqrt{5^2+\left(1+1\right)^2}[/tex]
[tex]=\sqrt{5^2+2^2}[/tex]
[tex]=\sqrt{25+4}[/tex]
[tex]=\sqrt{29}[/tex]
Therefore, the distance from N to T is : [tex]\sqrt{29}[/tex] or (square root of 29)
Answer:
it is the square root of 29
Step-by-step explanation:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that
set of this problem?
Answer:
B
Step-by-step explanation:
what is 6x divided by 6 equal?
please answer soon!
6x divided by 6 will be equal to x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 6x is divided by 6. The solution will be done as below:-
E = 6x / 6
Divide 6 by 6 we will get 1. The value of expression will be:-
E = x
Therefore, 6x divided by 6 will be equal to x.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2