Answer:
11.5
Step-by-step explanation:
2 2/3 of 5 equal 11.5. You multiply 5x2 which equals 10 and 2/3=1.5 So 10+1.5 equals 11.5
A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure issues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)
Answer:
See below
Step-by-step explanation:
Given:
f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7Combination of domain for the function is the following union:
(-9, 2]∪ (-2, 1]∪(1, 7) = (-9, 7)Group of answer choices:
The domain is the depth interval (−26, 1).
incorrect as (-26, -9) interval is not covered in given functionThe domain is the depth interval (−9, 1].
incomplete rangeThe domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.
incorrect as doesn't include x = -2 and x = 1The domain is the time interval (−9, 7).
This is correct as it is same with the domain set we got above.A borrower wants to take a loan with a maximum effective monthly rate of 1%. What is the maximum APR with quarterly compounding that the borrower will accept from a lender?
The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
How to calculate APR?To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:
\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)
Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:
\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)
APR = (1.0100333³ - 1) x 4
APR = 0.04033 x 4
APR = 0.16132 or 16.132%
Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
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Refer to the data in the table below. The entries are white blood cell counts (1000 cells/ML) and red blood cell counts (million cells / L) from male subjects examined as part of a large health study conducted by the National Center for Health Statis. tics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on. 1 8.7 4.91 White Subject 3 7.3 4.44 2 5.9 5.59 4 6.2 4.80 5.17 21.
Workplace Attire In a survey conducted by Opinion Research Corporation, 1000 adults were asked to identify "what is inappropriate in the workplace." of the 1000 subjects, 70% said that miniskirts were not appropriate in the workplace.
a. What is 70% of 1000?
b. Among the 1000 respondents, 550 said that shorts are unacceptable in the workplace. What percentage of respondents said that shorts are unacceptable in the workplace?
Answer:
700
55%
Step-by-step explanation:
70% of 1000 is equal to
{70/100)*1000
= 0.70*1000
= 700.
This, 70% of 1000 means 700 out of 1000 said that miniskirts were not appropriate in the workplace.
b. 550 of 1000 respondents said that shorts are unacceptable in the workplace. The percentage is
{550/1000)*100
= 0.55*100
= 55%
Thus 55% of 1000 respondents said that shorts are unacceptable in the workplace.
Geppetto is a puppet maker. When the month started, Geppetto had 12 puppets ready to sell. On the eighth day he had 60 puppets finished.Write an equation to model this situation (use x for days and p for puppetts).
Since he started with 12 puppets, that means that he made 48 puppets in 8 days. Hence he makes 6 puppets per day.
Let x be the number of days passed and p the number of puppets then we have that he makes:
\(6x\)in x days. To this we have to add the initial number of puppets, therefore the total number of puppets is given as:
\(p=6x+12\)Which graph has the same end behavior as f (x) = StartFraction negative 6 x Superscript 5 Baseline minus x cubed + 7 x Over 2 x squared + 1 EndFraction
The graph with the same end behavior is the one in option C.
Which graph has the same end behavior?The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.
It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.
The graph with that end behavior is the same one than in option C.
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Find the scale factor. Please help
The scale factor is 4/5.
Describe Fraction?In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.
The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.
Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.
A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.
An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.
A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.
Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.
To find the scale factor, we can compare the ratios of the corresponding side lengths of the congruent triangles.
Scale factor = (corresponding side length in triangle FQX) / (corresponding side length in triangle CVI)
Let's first identify the pairs of congruent angles:
Angle FQX = angle CVI (both are right angles)
Angle XQF = angle ICV (corresponding angles)
Angle FXQ = angle CVI (corresponding angles)
Now let's write the ratios of the corresponding side lengths in a proportion:
FQ / CV = QX / VI = XF / IC
Substituting the given values, we have:
28 / 35 = 36 / 45 = 24 / 30
Simplifying each fraction, we get:
4 / 5 = 4 / 5 = 4 / 5
Therefore, the scale factor is 4/5.
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PLSSSS HELPP ASSPPPP!!!!
A large pizza is $18 and a small pizza is $12. Each topping is.50.
How my would it cost for a large pizza with 5 toppings> *
Answer:
$20.50
Step-by-step explanation:
The pizza itself is $18. If you wanted 5 toppings you would do .50 multiplied by 5. That would give you a total of $2.50 for the 5 toppings. 18 plus 2.50 is 20.50.
Answer:
A large pizza with 5 toppings will be $20.50
A small pizza with 5 toppings will be $14.50
5 toppings would cost $2.50
Step-by-step explanation:
.50x5=2.50
18.00x2.50=20.50
12.00+2.50=14.50
I hoped this helped
PLS HELppppppppppppppp
Answer: B
Step-by-step explanation:
Oki so I know this becaue I study to much and because if there was an answer saying this : y=6x+3 it would be wrong because it is adding to the constant
So y=6x is proportinal because it is allways constant. I forgot this was an example sorry.
Answer:
B. since x can equal anything, but nine is in front therefore, it can be what you want, so it is B.
si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas
The area of the square is given as 100 square unit
How to determine the area of square?You should be aware that the square has all its sides equal
The perpendicular from opposite vertices represent distance
The given vertices are
(2,2) and (10,8)
Using the formula for distance between two points
d=√(10-2)²+(8-2)²
d=√8²+6²
d = √64+36
d=√100
This implies that d=10
The area of a square is given as s²
Area = 10²
Atrea = 100 square units
In conclusion, the area of the square is 100 square units
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Translated question:
The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square
2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
Q3:
Median:
IQR:
QI:
Outliers:
Answer:
51
Step-by-step explanation:
ascending order. 38,41,42,47,48,51,72,74,74,77,129. n/2= 12/2= 6 +1= 7 median 51
Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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DQ2 Do all linear transformations have a matrix representation? If so, what theorem establishes this? If not, provide a counter-example
Yes, This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.
Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.
A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.
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Helppppppp I’ll give brainlyyyyyyyyyyyyy
The values of a, h and k for the function include the following:
a = 2
h = 3
k = -2
How to write an equation for the transformed logarithm?In Mathematics and Geometry, the general form of a logarithm function is represented by the following mathematical equation:
f(x) = alog(±x + h) + k
Where:
a represent the scale factor of the logarithmic graphh represent a horizontal translation.k represent a vertical translation.x represent the base.Based on the given logarithm function f(x) = 2log₄(x + 3) - 2, we can reasonably infer and logically deduce that the scale factor (a) used is equal to 2.
This ultimately implies that, the values of a, h and k for the function are 2, 3, and -2 respectively.
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100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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Please give steps and explanation!
\(f(x)=\cfrac{e^x+1}{e^{x^2} + 1}\implies \cfrac{df}{dx}=\stackrel{\textit{\large quotient rule}}{\cfrac{e^x(e^{x^2}+1)~~ - ~~(e^x+1)\stackrel{chain~rule}{(e^{x^2}\cdot 2x)}}{(e^{x^2} + 1)^2}} \\\\\\ \left. \cfrac{df}{dx} \right|_{x=0}\implies \cfrac{e^0(e^{0^2}+1)~~ - ~~(e^0+1)(e^{0^2}\cdot 2(0))}{(e^{0^2} + 1)^2}\implies \cfrac{2~~ - ~~0}{4}\implies \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill\\\\ f(0)=\cfrac{e^0 + 1}{e^{0^2} + 1}\implies f(0)=\cfrac{2}{2}\implies f(0)=1\)
now, let's simply plug all those guys in the point-slope form for that tangent line at x = 0.
\((\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{0})\implies y=\cfrac{1}{2}x+1\)
A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How many times larger are the dimensions of the larger prism?
5
10
25
625
The number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is 25 times.
Surface area of a rectangular prismThe surface area of a rectangular prism is as follows;
surface area = lwh
where
l = lengthw = widthh = heightTherefore,
surface area of the first prism = 8 ft²
surface area of the second prism = 200 ft²
Therefore, the number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is as follows;
200 / 8 = 25
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25, I got it right on my lesson... The other person is correct!!!!!!!
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.
Find the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40.
Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places.
Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.
How to find a proportion in a t-distribution?The proportion is found using a calculator, with three inputs:
The tail of the test, if it is left, right, or two-tailed.The test statistic.The amount of degrees of freedom.In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.
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As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the standard deviation of the data?
1.41
1.53
2.33
5
Answer:
B: 1.53
Step-by-step explanation:
The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)
How do you do this i cant remember i fell asleep in class
The cost of each sandwich, given the number that was sold and the profit made was $15.
How to find the cost ?Let S be the price of a sandwich and A be the price of a salad.
From the lunch sale, we know:
14 S + 14 A = $280
From the evening sale, we know:
42S + 154 A = $ 1400
Simplify the first equation by dividing through by 14:
S + A = $20
Solving this equation for S gives:
S = $20 - A
Substitute this equation into the second equation:
42 ( $20 - A ) + 154 A = $1400
$ 840 - 42 A + 154 A = $1400
112A = $560
A = $5
Substitute A = $5 into the first equation:
S + $5 = $20
S = $15
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The slope of a line is 0, and the y-intercept is 6. What is the equation of the line written in slope-intercept form?
O y=6x
Oy=6
O y=x+6
Answer:
The correct answer is y = x + 6
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)
If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:
Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).
Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).
Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).
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Kevin has copays of $30 per office visit, $150 emergency room without
hospitalization and $250 for hospitalization. He had to go to a physician's office 5 times
this year and went to the ER once with no hospitalization. His medical bills totaled
$2,826. How much did Kevin save by being insured? Make sure you show your
calculations!
Answer:
$2526
Step-by-step explanation:
Kevin had copays of 5 × $30 for the office visits and $150 for the ER visit. His total copay was ...
5×$30 +150 = $150 +150 = $300 . . . . amount Kevin paid
If his bills were $2826, his savings were
$2826 -300 = $2526
Kevin saved $2526 by being insured.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.
(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.
(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.
(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
The triangle similarity criteria are:
AA (Angle-Angle)SSS (Side-Side-Side)SAS (Side-Angle-Side)(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.
12/8 = 9/6
1.5 = 1.5
(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.
(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.
14/10 = 21/15
1.4 =
(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.
SMK = 90⁰, 60⁰, 30⁰
QTR = 90⁰, 30⁰, 60⁰
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Assume the mean useful life of a coat of paint from Sherwin-Williams is is 23,000 hours of sunlight and is normally distributed with a standard deviation of ± 5,000 hours of sunlight. Calculate the useful life of a coat of paint from Sherwin-Williams within one standard deviation of the mean.
13,000 and 33,000 hours
18,000 and 28,000 hours
18,000 and 33,000 hours
13,000 and 28,000 hours
Assume the mean useful life of a coat of paint from Sherwin-Williams is is 23,000 hours of sunlight .The useful life of a coat of paint from Sherwin-Williams within one standard deviation of the mean is: B. 18,000 and 28,000 hours.
How to find the useful life of a coat of paint?The useful life of a coat of paint from Sherwin-Williams within one standard deviation of the mean would be :
18,000 hours calculated as (23,000 - 5,000) and 28,000 hours calculated as (23,000 + 5,000) of sunlight.
The reason is in normal distribution, approximately 68% of the data falls within one standard deviation of the mean.
Therefore the correct option is B.
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Name three collinear points.
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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f(n) = n^6-11n^5+30n^4+2n^3-9n^2-14n-13. at n=6
f(n) = n⁶ - 11n⁵ + 30n⁴ + 2n³ - 9n² - 14n - 13
We need to evaluate the function for n = 6, so:
f(6) = (6)⁶ - 11(6)⁵ + 30(6)⁴ + 2(6)³ - 9(6)² - 14(6) - 13
f(6) = 46656 - 85536 + 38880 + 432 - 324 - 84 - 13 = 11
Solve: 3x+8 = 4x + 1
Solve
Answer:
x= 7
Step-by-step explanation:
Aditi has enough money for 6 weeks of holiday in if she spends rupees 1400 per week.How long will the money last if she spend 1500 rupees per week?
She spends per week=1400
Total money:-
\(\\ \rm\longmapsto 1400(6)=8400\)
Now
She spends 1500 per week .
Money lasts
\(\\ \rm\longmapsto \dfrac{8400}{1500}=5.6\)
It will exist half more than 5weeks
Answer: The money will last for around 5.6 weeks.
Step-by-step explanation:
No. of weeks the money will last if ₹1400 is spent per week = 6
The total money she has = Amount spent in a week x No. of Weeks
= 1400 x 6
= ₹8400
No. of weeks the money will last if ₹1500 is spent per week = 8400/1500
= 5.6 weeks.
Jewels score was 5 over par on the first 9 holes.her score was 4 under par on the second 9 holes.
Using integer numbers, it is found that her score for both rounds is of -1.
What integer numbers represent over and under par scores?Over par scores are represented by negative integers.Under par scores are represented by positive integers.Hence her scores for each round are given as follows:
-5 and 4.
The combined score, the score for both rounds, is given as follows:
-5 + 4 = -1.
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Two hot-air balloons, one red and one blue, took off at the same time from different platforms. Each began ascending at a constant rate. The following equation gives the height (in meters) of the red hot-air balloon as a function of time (in seconds). h=1/2t+4 The height (in meters) of the blue hot-air balloon as a function of time (in seconds) is given by the following table of values: (Table is attached) Which balloon started at a greater height? A. The red balloon B. The blue balloon C. They are both the same height
Answer:
1. the red balloon
2.they both ascended at the same rate
Step-by-step explanation:
Answer:
1.red
acended
Step-by