When Jose and Sean were 5 years old Jose was 1 1/2 inches taller than Sean then Jose grew at an average of 2 3/4 inches per year until he was 13 years old.jose was 63 inches tall when he was 13 years old. How tall was Sean when he was 5 years old

Answers

Answer 1

Sean's height when he was 5 years old is given as follows:

39.5 inches.

How to define a linear function?

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.

Jose grew at an average of 2 3/4 inches per year, hence the slope is given as follows:

m = 2.75.

Thus:

J(x) = 2.75x + b.

Jose was 63 inches tall when he was 13 years old(8 years after he was 5 years old), hence the intercept b is given as follows:

63 = 2.75(8) + b

b = 63 - 2.75 x 8

b = 41 inches.

When Jose and Sean were 5 years old Jose was 1 1/2 inches taller than Sean, hence Sean's height is given as follows:

41 - 1.5 = 39.5 inches.

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Related Questions

will a rectangular piece of wrapping paper that is 20 in. by 15 in cover a shirt gift box that is 12inches long, 8in wide, and 3inches. Deep Explain?

Answers

First

Multiply 20in. by 15in.


Second

Multiply 12 by 8


Third

Multiply the sum of 8 and 12 to 3


The answer would be yes because the sum of 12, 8, and 3 is 288 and 20 by 15 is 300 so you'd have some left over.

Final answer:

Yes, the rectangular piece of wrapping paper can cover the shirt gift box.

Explanation:

To determine if the rectangular piece of wrapping paper can cover the shirt gift box, we need to compare the dimensions of the paper to the dimensions of the box.

The dimensions of the paper are 20 in. by 15 in. The dimensions of the box are 12 in. long, 8 in. wide, and 3 in. deep.

To cover the box completely, the paper needs to have enough surface area to cover the top and all four sides of the box.

Since the dimensions of the paper are greater than or equal to the corresponding dimensions of the box, the rectangular piece of wrapping paper can cover the shirt gift box.

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HURRY I'M TIMED!!!!! What kind of dot would be appropriate for the graph of the inequality t ≤ -3?

open
closed

Answers

It would be a closed circle or "dot" since it is a less than or equal to sign.

closed becuase it's less than or equal too so it includes the point

3 hours 20 minutes + 1 hour 48 minutes =___ days

Answers

zero days, 3 hours + 20 min + 1 hour + 48 min = 308 min which is about 5 hours.

3 hours 20 minutes + 1 hour 48 minutes = 0.2139 days

Let’s calculate the total time in hours and minutes:

Add the hours: [tex]3 \text{ hours} + 1 \text{ hour} = 4 \text{ hours}[/tex]Add the minutes: [tex]20 \text{ minutes} + 48 \text{ minutes} = 68 \text{ minutes}[/tex]

Now, let’s convert the total time to days:

1 day = 24 hours1 hour = 60 minutes

First, convert the minutes to hours:

[tex]68 \text{ minutes} = \frac{68}{60} \text{ hours} = 1.1333 \text{ hours}[/tex]

Next, add the converted hours to the original 4 hours:

[tex]4 \text{ hours} + 1.1333 \text{ hours} = 5.1333 \text{ hours}[/tex]

Now, divide the total hours by 24 to find the equivalent days:

[tex]5.1333 \text{ hours} \div 24 = 0.2139 \text{ days}[/tex]

Therefore, 3 hours 20 minutes + 1 hour 48 minutes equals approximately 0.2139 days

1348 rounding to the nearest thousand

Answers

1000 would be the answer

The rounding number to the nearest thousand will be 1,000.

What is Rounding number?

To making a number simpler but keeping its value close to what it was, is called Rounding.

Given that;

The number is;

1348

Now, To round a number to the nearest thousand, look at the hundreds digit. If the hundreds digit is 5 or more, then round up.

If the hundredth digit is 4 or less, then round down.

So, Here the hundreds digit is 3, which is less than 5.

Then, we round down.

Thus, The rounding number = 1,000

So, The rounding number to the nearest thousand will be 1,000.

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50 apples cost $25 how much would it cost for 75 apples

Answers

It would cost $37.50.

Which is the correct formula to find the distance between two points (a, b) and (c, d)? Please Answer quickly! Thank you!

Answers

Answer:

Use the distance formula.  Result:  sqrt [ (a-c)^2 + (b-d)^2 ]


Step-by-step explanation:

distance = d = sqrt [ (a-c)^2 + (b-d)^2 ]


Answer:

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Step-by-step explanation:

We are given two points (a, b) and (c, d)

We need to find the distance between two points.

It is coordinate of two points. Using coordinate formula of distance.

[tex]d=\sqtt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where,

[tex]x_2\rightarrow c[/tex]

[tex]x_1\rightarrow a[/tex]

[tex]y_2\rightarrow d[/tex]

[tex]y_1\rightarrow b[/tex]

Substitute into formula

Distance between two points is

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Hence, The formula of distance between two points  (a, b) and (c, d) is [tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?

Answers

Answer:

Volume increasing rate = [tex]62831.85 mm^3/s[/tex]

Explanation:

We rate of change of radius of sphere, [tex]\frac{dr}{dt} =2mm/s[/tex]

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = [tex]\frac{4}{3} \pi r^3[/tex]

Rate of change of volume = [tex]\frac{dV}{dt}[/tex]

[tex]\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}[/tex]

Substituting known values

     [tex]\frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s[/tex]

Volume increasing rate = [tex]62831.85 mm^3/s[/tex]

Does 7/14 and 3/6 form a proportion

Answers

Quick Answer: Yes

If you reduce both to their lowest terms each becomes 1/2

Divide the numerator and denominator by 7 for the first one

(7 ÷ 7)/(14 ÷ 7) = 1/2

And numerator and denominator by 3 for the second one

(3 ÷ 3)/ (6 ÷ 3) = 1/2

a canoe travels 3 3/4 kilometers in 3/5 of an hour. what is the average of the canoe, in kilometers per hour ?

Answers

Hello,


The speed was .67 mph


Hope this helps!

Answer:

6 1/4

Step-by-step explanation:

what is
g+114.78=152.98

A g=267.76 B g=28.2 C g=38.2

Answers

g = 152.98 - 114.78 = 38.2

32%
of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is​ (a) exactly​ three, (b) at least​ four, and​ (c) at most two. If​ convenient, use technology to find the probabilities.

Answers

Final answer:

To solve this problem, one would need to use the binomial probability formula, substituting different values of 'x' into the formula depending on the requirement of the question. To calculate probabilities for specific numbers of people saying cashews are their favorite, substitute those numbers into the formula and solve, adding appropriate probabilities together for situations with ranges of people.

Explanation:

The subject of this question is probability. We can use the binomial probability formula, which is P(X=x) = C(n, x) * (p^x) * ((1-p)^(n-x)), where 'p' is the probability of success, 'n' is the number of trials, and 'x' is the number of successful outcomes.

(a) For exactly 3 people loving cashews, substitute x=3, p=0.32 (32%), and n=12 into the formula to calculate the probability.
(b) For at least 4 people loving cashews, calculate the probability for x=4, x=5,....x=12 and add these probabilities together as this is an 'or' condition.
(c) For 2 or fewer people loving cashews, calculate the probability for x=0, x=1, x=2 and add them, because it says 'at most two' which includes 0 to 2 people.

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What are the angle measure of x and y

Answers

Assuming these two lines are parallel, x=106 as they are corresponding angles, and y=180-106, so y=74.

Y=74 hope this helps

In which section of the number line is √5?

Answers

We know that [tex]\sqrt(4)[/tex] and [tex]\sqrt(9)[/tex] are 2 and 3 respectively. Therefore, [tex]/sqrt(5)[/tex] is between 2 and 3, approximately 2.2.

The cost to manufacture t shirts can be represented by the function c(x)=10.5x complete the following statement about the function
Part A: if a club needs 8 t-shirts then it will cost...
Part B: if c(12) then...
T shirts will cost...

Answers

For this case we have:

Cost of manufactures of T-shirts [tex]C(x)=10.5x[/tex]

where x represents the number of T-shirts

Part A:

Substituting [tex]x = 8[/tex] in the total cost equation you have to:

[tex]C (8) = (10.5) (8)\\\\C (8) = 84\\[/tex]

Thus, the cost of 8 shirts will be [tex]C (8) = 84\\[/tex]

Part B:

If [tex]x = 12[/tex] then

[tex]C (12) = (10.5) (12)\\\\C (12) = 126\\[/tex]

Thus, the cost of 12 shirts will be [tex]C (12) = 126\\[/tex]

Answer:

[tex]C (8) = 84\\\\C (12) = 126\\\\[/tex]


Final answer:

The cost function c(x) = 10.5x, when applied for 8 and 12 t-shirts, indicates that 8 t-shirts will cost $84 and 12 t-shirts will cost $126.

Explanation:

The function c(x) = 10.5x represents the cost to manufacture t-shirts, where x is the number of t-shirts.

Part A: If a club needs 8 t-shirts, we substitute x=8 into the function. Therefore, c(8) = 10.5*8 = 84. Thus, it will cost $84 to manufacture 8 t-shirts.

Part B: If c(12), we substitute x=12 into the function. Therefore, c(12) = 10.5*12 = 126. This means that 12 t-shirts will cost $126.

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Janet is 3 yrs older than her sister julie. Janet brother is eight yrs younger than their sister julie. The sum of all their ages is 55 yrs

Answers

Janet: x + 3

Julie: x

brother: x - 8

Janet + Julie + brother = sum

x + 3  +   x     +   x - 8    =  55

3x - 5 = 55

    +5   +5

3x      = 60

[tex]\frac{3x}{3} = \frac{60}{3}[/tex]

x = 20

Janet: x + 3   ⇒   (20) + 3   = 23

brother: x - 8   ⇒   (20) - 8   = 12

Answer: Janet=23, Julie=20, brother=12

The equation 7^2=a^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?

Answers

Final answer:

Explanation of how the orbital period increases when a planet's distance from the sun is increased using Kepler's third law.

Explanation:

The factor by which the orbital period is increased when planet Y is k times the mean distance from the sun as planet X can be calculated using Kepler's third law:

Given the equation 72 = a3, the relationship between a planet's orbital period T and mean distance from the sun A in AU is established.

If planet Y is k times the mean distance from the sun as planet X, the orbital period is increased by k1.5 times due to Kepler's third law.

Jon ate too many holiday cookies and gained 2.2 kilograms in December. Then he went on a diet and lost 1.5 kilograms in January. Then lost another 3.7 kilograms in February. Jon wants to know the total change in his weight was over these three months. Which of the following equations matches the situation above

Answers

Answer:

Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

So, total weight Jon lost = 1.5 + 3.7 = 5.2 kilograms

Thus,

Total change in Jon's Weight = 2.2 - 5.2 = -3.0 kilograms

This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

Answer:

2.2+(-1.5)+(-3.7)=?

Step-by-step explanation:

the clock loses 12 minutes every hour. it shows the correct time right now which is 3. when will the clock show the correct time again

Answers

10:00 will show trhe corect tiem

The quotient of 14 and 7

Answers

It's 21. You just divide one by the other.

The quotient is 2.


A quotient is the result of division. In division, the dividend Divided by the Divisor = the Quotient, in your question 14 is the Dividend and 7 is the Divisor,


Hope this Helps :D





Work out (3.6 x 10^-5) ÷ (1.8 x 10^2) give your answer in standard form

Answers

Answer:

2e-7 or 2x10^-7

Step-by-step explanation: correct me if i'm wrong

help algebra. one question.

Answers

Jenny's total earnings:

total earnings = (hours worked on design)*40 + (hours worked on maintenance)*35

average earnings = total earnings / hours worked

So far she has

total earnings = 18*40 + 20*35 = $1420

which is an average per hour = $1420/38hr = $37.37

How many more hours on webdesign: x

so that

($1420+x*$40)/(38+x)=38

Now solve for x - this I let you do. My results is x=12 (you can verify by plugging it iback into the equation).

The answer is Jenny needs to work 12 more hours to claim an average earnings of $38/hr. Lmk if you have questions.



Evaluate the expression. Drag the answer into the box to match the expression. 2⋅(36⋅3−5)

A. 2/3
B.3
C.6
D.18

Answers

Final answer:

The correct evaluation for the expression 2⋅(36⋅3−5) under the order of operations is 206, which is not one of the provided options A: 2/3, B:3, C:6, D:18.

Explanation:

The subject is Mathematics and the question belongs to the Middle School grade. The problem given is to evaluate the expression: 2⋅(36⋅3−5). Here, we will use the order of operations, also known as BIDMAS or PEMDAS, which stands for Brackets, Indices (or exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

First, we evaluate the operation in the parentheses: 36 times 3 minus 5, which simplifies to 108-5 = 103. Next, this value is multiplied by 2 according to the expression, resulting in a final answer of 2*103= 206. Hence, the correct evaluation of the expression 2⋅(36⋅3−5) is 206. The options provided in the question A: 2/3, B:3, C:6, D:18 do not match the correct answer.

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write an equation for each translation of y = x 6 units left

Answers

[tex]<b><i>HEY THERE!![/tex]

F(x)= x+6 that should be the answer.

HOPE IT HELPED YOU.

Hi the answer is:

y = IxI + 6


Which diagram BEST represents the line of best fit for the scatterplot?

A)



B)



C)



D)

Answers

Answer:  C looks like the best fit.


Answer:

C

Step-by-step explanation:

A scatterplot best fit line looks as thought the distance of the points above the line are the same as the points below the line in this case. See the comment under d for more.

A

All the points are above the line

B

Only a very few points come close to the line. Left right is more at work here rather than up and down.

C Answer

D

The average of those above the line might be the same as below the line, but the symmetry is a left right symmetry; all the downs are on the left and all the ups are on the right.. They might average out to be 0 but it is not what is meant. The x and y values both have something to do with the answer. D is the second best answer.


Carol is given a 10% pay decrease. Her new wage is £306 per week. What would be her weekly wage if, instead, she had received a 10% pay increase?

Answers

the answer would be 374.00

the original value before any increase or decrease is 340.00

so...

340.00 X 1.10 = 374.00

Answer:

New Wage after 10% increase =£374

Step-by-step explanation:

Let us assume  Carol's initial weekly wage be £ x

Now there is 10% decrease in weekly wage

10 %  of weekly wage = 10 % of x

                                    =  [tex]\frac{10x}{100} = 0.1x[/tex]

New wage after 10% decrease =  initial weekly wage - 10% of x

                                                   =  [tex]x- 0.1x = 0.9x[/tex]

It is given that new weekly wage is £ 306

so we equate £306 and 0.9x , so we have

[tex]0.9x=306[/tex]

[tex]x=\frac{306}{0.9}[/tex] ( divide both sides by 0.9)

[tex]x= 340[/tex]

So we got

Initial weekly wages = £ 340

Now Let us find weekly wage when there is 10% increase,

10% of initial weekly wage = [tex]10% of 340[/tex]

                                            =[tex]\frac{10}{100}[/tex]×[tex]340[/tex]

                                            = [tex] 34[/tex]

New Wage after 10% increase = [tex]340+34[/tex]

                                                  =£ 374

Use the photo to answer the question

Answers

D. the final one, the one you currently have answered is the correct one, this is because a parallelogram, like this one, requires that the triangles on either side must be congruent in order for this to be true.

Triangles BPA and DPC are congruent, which implies that opposite sides AB and CD are parallel, thus making quadrilateral ABCD a parallelogram.

The statement Triangles BPA and DPC are congruent is used to prove that quadrilateral ABCD is a parallelogram.

Given that diagonals AC and BD bisect each other, we have:

[tex]$\angle BAP = \angle CDP$[/tex]  (vertically opposite angles)

[tex]$AP = CP$[/tex] and BP = DP  (given)

Therefore, triangles BPA and DPC are congruent by SAS (side-angle-side) congruence. This means that [tex]$\angle ABP = \angle CDP$[/tex] and [tex]\angle BPA = \angle DPC$.[/tex]

Since [tex]$\angle ABP$[/tex] and [tex]$\angle CDP$[/tex]  are alternate interior angles formed by transversal BD intersecting parallel lines AB and CD, we have:

AB \parallel CD

Similarly, since [tex]$\angle BPA$[/tex]  and [tex]$\angle DPC$[/tex] are alternate interior angles formed by transversal AC intersecting parallel lines AB and CD, we have:

AB \parallel CD

Therefore, quadrilateral ABCD is a parallelogram.

Proof:**

1. Given:[tex]$\angle BAP = \angle CDP$ and $AP = CP$ and $BP = DP$[/tex]

2. Prove:[tex]$AB \parallel CD$[/tex]

SAS Congruence**

1.[tex]$\triangle BAP \cong \triangle DPC$ (SAS)[/tex]

Alternate Interior Angles**

2. [tex]$\angle ABP = \angle CDP$[/tex](alternate interior angles)

3. [tex]$\angle BPA = \angle DPC$[/tex] (alternate interior angles)

Therefore, $AB \parallel CD.

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Factorise completely (2x+1)^2 -(x-1)^2

Answers

Use photomath ! It's an app that gives you the answer with the explanation and it shows you how it got to the answer !
Final answer:

To factorize the expression completely, we use the difference of squares formula and simplify the expression to get 6x.

Explanation:

The given expression is (2x+1)^2 -(x-1)^2. To factorize it completely, we can use the difference of squares formula, which states that (a^2 - b^2) = (a + b)(a - b). Applying this formula, we have:

(2x+1)^2 -(x-1)^2 = [(2x+1) + (x-1)][(2x+1) - (x-1)]

Simplifying further, we get:

(2x+1+x-1)(2x+1-x+1) = (3x)(2) = 6x.

4(px+1)=64 the value of x in terms of p is

Answers


[tex]4(px + 1) = 64 \\ 4px + 4 = 64 \\ 4px = 60 \\ px = 15 \\ x = \frac{15}{p} [/tex]

[tex]4(px+1)=64\qquad|\text{divide both sides by 4}\\\\px+1=16\qquad|\text{subtract 1 from both sides}\\\\px=15\qquad|\text{divide both sides by}\ p\neq0\\\\\boxed{x=\dfrac{15}{p}}[/tex]

Original cost of a shirt: $54 ; markup by 50%, then markdown by 25%

Answers

54 x .50 = $27

54 x .25 = 13.5


50% = $27.00

25% = $13.50

A real estate agent spends $1,500 on advertising for three months to sell an average house. If the house sells in three months, the agent earns $9,000. Otherwise, he loses the listing and earns nothing. If there is a 40% chance that the house will sell in three months, what is the expected revenue for the real estate agent?
$2,000
$2,100
$3,200
$3,600

Answers

Ok so if the agent spend 1,500$ on advertising then thats -1,500 for his wallet eg.

WALLET:

-1,500$

Now if the house sells in 3 months that's 9,000 in wallet but since there is only a 40% chance then we need to work out 40% of 9000 we can do that by doing 9000 x 0.40 which = 3,600 so 3,600 in wallet on average

-1,500

+3,600

now if we combine these we get 2,100 so the answer is on average 2,100

Answer:

B edge

Step-by-step explanation:

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