The given statement "Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week" is true.
As given in the question,
If one amount is proportional to another, the two amounts increase and decrease at the same rate so there is always the same relationship between them
a:b = c:d
a ÷b = c ÷d
ad = bc
let Sal earns $480 per week and he works 40hours per week
480÷40 = 12
Lidia earn $300 per week and she works 25 hours per week
300÷25 = 12
Cross product of their salaries is
480×25=1200
300×40=1200
The ratio of their salaries and their product are equal.
Hence, The given statement "Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week" is true
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please dont use any big words & give an essay explanation
We want to create a real-life reasonable problem in which we can apply the laws of exponents.
Using a compound interest example;
Word Problem:
Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.
Solving the word problem;
We have the following parameters;
[tex]\begin{gathered} \text{ Principal P = \$2,000} \\ \text{Rate r = 5\%} \\ \text{Time t = 5 years} \\ \text{ Number of times compounded n = 4} \end{gathered}[/tex]Recall that the formula for compound interest is;
[tex]F=P(1+\frac{r}{n})^{nt}[/tex]Substituting the given values;
[tex]\begin{gathered} F=2000(1+\frac{0.05}{4})^{4(5)} \\ F=2000(1+0.0125)^{20} \\ F=2000(1.0125)^{20} \\ F=2000\times(1.0125)^{20} \\ F=\text{ \$2,564.07} \end{gathered}[/tex]Therefore, the solution to the problem is;
The final
If the mean weight of 3 outfielders on the baseball team is 192 lb and the mean weight of the 6 other players is 228 lb, what is the mean weight of the 9-person team?
Answer:
Step-by-step explanation:
If the mean weight of 3 outfielders on the baseball team is 194 lb and the mean weight of the 6 other players is 229 lb, what is the mean weight of the 9
Alfred and Rani both picked different two-digit numbers. If you multiply Alfred's number by 5 and double Rani's number, the sum is 300. If you double
Alfred's number and multiply Rani's number by 3, the sum of the two numbers is 252. What is the sum of their two numbers?
O 96
O 112
O 128
O 144
O 150
46 x 2 in standard algorithm
Answer:
92
Step-by-step explanation:
1
46
x 2
92
Determine the intercepts
Y - 3 = 5(x-2)
Answer: x-intercept(s): (7/5, 0)
Y intercept(s): (0,−7)
The quotient of 2 and a number.
Answer:
it should be the variable divided by 1. For example, x/2.
which of the following best describes XWO A. Angle bisectorB. MedianC. AltitudeD. Perpendicular bisector15W15Z
INFORMATION:
We have the next triangle
And we must select the answer that best describes XW segment
STEP BY STEP EXPLANATION:
We can see that XW segment divides the YZ side into two equal parts, which measure 15 units. And we can also see that the XW segment starts in one of the vertex of the triangles and goes to the opposite side.
Then, we can analyze the definition for the median of a triangle
Finally, if we compare, we can see that the definition of median describes the XW segment.
ANSWER:
B. Median.
[x-6] +4 =10 solve for X
Answer:
x=12
Step-by-step explanation:
(x-6)=6
x=12
Deb wants to put up a fence around her garden.
The fence costs £3 per metre.
The fencing company charges £200 to install the fence.
What is the total cost of the fence for Deb's garden?
The total cost of fencing the garden will be 3x+200 where x is the perimeter of garden that is variable according to the length and breadth of the garden.
What is length?Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The metre serves as the foundational unit of length in the International System of Units.
What is Perimeter?A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Here,
Let x be the perimeter to be fenced.
the cost is 3 rupees per meter.
so the equation will be= 3x+200
The total cost of fencing the garden will be 3x+200, where x is the garden's perimeter and is dependent on the garden's length and width.
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PLEASE HELP ME ASAP.
An engineer is designing the parking lot shown below for a local grocery store. The parking spaces are marked with lines where XD←→∥TZ←→∥YF←→∥LP←→ and WC←→− is a transversal. m∠CNL=(6x−17.6)°, m∠FBH=(12y−22)°, and m∠THR=(3x+29.2)°
Answer:
Step-by-step explanation:
PLEASE HELP MATH TEST TOMORROW
if 1cm is equivlent to 50km how many km is in 50cm
Answer:
2,500
Step-by-step explanation:
1cm=50km
50cm*50km=2500km
Answer:
2500 km
Step-by-step explanation:
If 1 cm is equal to 50 km, we can multiply the 1 cm by 50 to get 50 cm. In order to do this, we also have to multiply the 50 km (which was equal to the 1 cm) by 50 as well.
50 x 50 = 2500
Whatever we do to one side, we have to do to the other to make it equivalent.
Karen made costumes for the annual school play. She used a total length of928.8 in of blue fabric. The fabric came in 2 rolls that each had the samelength. How much fabric was in each roll? Write your answer in yards.Use the table of conversion facts as necessary, and do not round your answer.=Conversion facts for length12 inches (in) = 1 foot (ft)3 feet (ft) = 1 yard (yd)36 inches (in) = 1 yard (yd)5280 feet (ft) = 1 mile (mi)1760 yards (yd) = 1 mile (mi)ydX 5 ?
Linear ApplicationThe function V(x) = 20.6 +2.2x gives the value (in thousands of dollars) of an investmentafter a months.Interpret the Slope in this situation.The value of this investment is decreasing✓at a rate ofdollars per year V
SOLUTION:
Case: Interpreting slopes from linear equations
Method:
V(x) = 20.6 + 2.2x
Compared to
y = mx + b
Where m is the slope and it is being interpreted as the rise for every single run on the line graph.
As it applies,
V(x) = 20.6 + 2.2x
m = 2.2 thousand ie. 2200
It is interpreted as the amount the value increases by each month.
Final answer:
The value of this investment is increasing at a rate of $2200 each month
a marketing research organization wishes to estimate the proportion of television viewers who watch a particular prime-time comedy on may 24th. the proportion is thought to be about 0.30. what is the least number(sample size) of viewers that should be randomly selected to ensure that a 95% confidence interval for the true proportion of viewers will have a width of 0.06 or less?
Least number (sample size) of viewers that should be randomly selected to ensure that a 95% confidence interval for the true proportion of viewers will have a width of 0.06 or less is 225.
E = 0.06,
P = 0.30
c= 95%
& = 1 - 0. 95
To x/2 = 0-025
21096*/ 2 = 0-025
Margin of error
P ( 1 - P )
To ac / 2 ) 2 P ( 1 - P )
E= ( 1. 96* 0 . 30 x ( 1 - 0 - 30 )0-06
=224.09 ~ 225
round to next number
225
In order to guarantee that a 95% confidence interval for the true proportion of viewers would have a width of 0.06 or less, the minimum number of viewers (sample size) that should be chosen at random is 225.
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enter 2 Expressions that represent the retail price of the clothes you see for your variable and exclusive clothing boutiques quadruples the price of the items it purchases for resale.
Explanation
Step 1
Let
c represent the original price
if the boutiques quadruples the price of the items it purchases for resale.then
[tex]\begin{gathered} \text{new price=4}\cdot c \\ percentage \\ 4=4\cdot\frac{100}{100} \\ 4=\frac{400}{100} \\ 4=400\text{ per cent} \end{gathered}[/tex]400 percent
Step 2
expressions
[tex]\begin{gathered} \text{new price=4}\cdot c \\ \text{new price= 400 percent of C} \end{gathered}[/tex]4c and 400%c
I hope this helps you
Robert finds some nickels and pennies in his change purse. How many
coins does he have if he has 110 nickels and 130 pennies? How many
coins does he have if he has n nickels and p pennies?
Total coins, 110 nickels and 130
pennies:
Total coins, n nickels and p pennies:
Pls answer fast
Answer:
Step-by-step explanation:
If coins 110 plus 130 will give you 240 coins
If actual money 110 times 5 will give you 550 plus 130 will give you 680 or 6 dollars and 80 cents.
N times 5 plus p will be your equation
Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E′F′G′. Which statement is true about the dilation?
Answer:Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation? segment EG ≅ segment E prime G prime. The slope of segment EF is the same as the slope of segment E prime H prime.
Step-by-step explanation:
explain how you got it please
The simplest form of the expression as we have it is; (-4x^4z^2)(2xy^3z^2)
What does it mean to simplify?When we are asked to simplify, what we are asked to do is to write the expression that we have in a form that is simplest. That is, we should put the expression in a form that there would not be any simpler presentation of the expression.
We have;
(-2x^2z)^2(2xy^3z^2)
Then we now have to deal with the exponent outside the bracket;
(-4x^4z^2)(2xy^3z^2)
Thus, we now have the expression in the simplest form that it can take and it can not be further broken down.
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t - 2 < 21 solve the inequality for t simplify your answer as much as possible
Answer:
t < 23
Step-by-step explanation:
t - 2 < 21
Step 1 : Add 2 on both sides.
t - 2 + 2 < 21 + 2
t < 23
what is the type of angle are <1 and <14??????????
1° and 14° are acute angles.
An acute angle is one that is less than 90°, or one that is between 0° and 90°.
The opposite of an acute angle is an obtuse angle. In other terms, an obtuse angle is one that is larger than 90° and less than 180°. It is the angle that is between 90° and 180°.
90° is the standard for a right angle. Any angle that is less than 90° is called acute, and any angle that is larger than 90° is called obtuse.
∠1 and ∠14 are less than 90° therefore, they are acute angles.
Correct question :
What type of angle are 1° and 14°?
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Priya starts
with $50 in her bank account. She then
deposits $20 each week for 12 weeks.
Write an equation that represents the relationship
between the dollar amount (y) in her bank account
and the number of weeks (x) of saving.
Answer:
y = 20x + 50============================
GivenInitial deposit = $50,Weekly deposit = $20,Number of weeks = 12.SolutionThe total deposit over 12 weeks:
y = 12*20 + 50 = 240 + 50 = 290Equation in general form:
y = 20x + 50, where x- number of weeks, y- amount of savingsXavier has a bag of 20 marbles. 8 are blue, 7 are red, and 5 are green. Xavier pulls out a marble, records what color it is, and puts it back. He then selects another marble and records its color What is the probability of pulling out a blue marble and then a green marble?
Answer:
0.1
Step-by-step explanation:
chance of pulling out a blue marble can be described as 8 equally probable outcomes (blue marbles) out of 20 equally probable outcomes (all marbles).
Similarly, the chance of pulling out a green marble is 5 out of 20.
In total, we have 8*5 (combinations of blue then green) outcomes out of 20*20 (any two marbles):
8*5 / (20*20) = 40 / 400 = 1/10 = 0.1
Write an integer that lies between-7.73 & -6.41, what is the answer?
Would HL, ASA, SAS, AAS, or SSS be used to justify that the pair of triangles is congruent?
The theorem that justifies that the pair of triangles are congruent is: AAS.
What is the AAS Congruence Theorem?The AAS is known as the angle-angle-side congruence theorem, which justifies why two triangles that have a pair of non-included congruent side and two pairs of corresponding congruent sides.
The diagram shows that the two triangles have two corresponding congruent angels that are marked, and they share a common side, which means they have a pair of non-included congruent sides.
This goes to show that the criterion for proving that the two triangles are congruent by the AAS are already given and known.
Therefore, the triangles are congruent to each other by the AAS congruence theorem.
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A hen was given $10, a spider was given $40, a bee was given $30. How much would be given to a dog?
Answer:
Umm 20 dollars?
Step-by-step explanation:
when atc has not imposed any climb or descent restrictions and aircraft are within 1,000 feet of assigned altitude, pilots should attempt to both climb and descend at a rate of between a. 500 feet per minute and 1,500 feet per minute. b. 1,000 feet per minute and 2,000 feet per minute. c. 500 feet per minute and 1,000 feet per minute.
In the absence of ATC restriction on climb or descent, and aircraft are within 1,000 feet of assigned altitude. pilots should attempt to both climb and descend at a rate of between 500 fpm and 15000 fpm. (Option A)
An Air Traffic Controller (ATC) clearance refers to an authorization by ATC for the purpose of preventing known aircraft collision. The rate of climb or descend expected by ATV is when an aircraft is within 1000 feet of assigned altitude, descend, or climb at an optimum rate consistent with the operating characteristics of the aircraft to 1,000 feet above or below the assigned altitude, and then attempt to descend or climb at a rate of between 500 and 1,500 fpm until the assigned altitude is reached.
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35. If 7-√5 / 7+√5= a +b√5, then find the value of a and b.
Use the function f(x) = 2-5x to fill out the table.
X | f(x)
——————
-2 |
-1 |
0 |
1 |
2 |
Answer:
Step-by-step explanation: f(x) =2-5x
2-5(-2)=12
2-5(-1)=7
2-5(0)=2
2-5(1)= -3
2-5(2)-8
I hope this helps. All you have to do is plug in the numbers in the equation for x and then solve!
Here are the ages of 14 coworkers:
Note that based on the graph given, the mean is at point B, while the median is also at point B:
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the integers and divide the total by the number of occurrences), geometric mean, and harmonic mean.
The median, on the other hand, is the number in the middle of a sorted, ascending or descending list of numbers, and it might be more descriptive of the data set than the average.
For the median:
Given the above definition, and the fact that we have 14 data points, the median is going to be somewhere between the 7th and 8th data points. By graph analysis, it is easy to see the following:
For the mean:
Given that the graph is representative of a Normal Distribution, the mean is also at point B.
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Full Question:
Here are the ages of 14 coworkers: [See attached graph]
Where is the mean?, and Where is the median?