a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)

Answers

Answer 1

Answer: equation: y = 2.5x + 46

slope: 2.5

y intercept: 46

she will be 8 months old by the time she is 66 cm

Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.

y = 2.5x + 46

66 = 2.5x + 46

20 = 2.5x

8 = x


Related Questions

allison made a playlist that included 9/12 country songs. what are two equivalent fractions that represent the part of the play list that is country songs. explain why your fractions are correct?

Answers

Answer:

3/4,18/24

Step-by-step explanation:

You can mutiply the numerator and denominator by the same number or divide it by the same number as long as it is a whole number. Ex. (9/3) over (12/3)=3/4. Or (9x2)/(12x2)=18/24

Susan reads a book at a rate of 1 page every 3 minutes. if her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages ?

Answers

Answer:

54

Step-by-step explanation:

okay so the method it sounds like is multiplication so first you would skip count by 3's like this 3, 6, 9,12,15,18,21,24,27,30  and while your doing that count on a paper or anything you can wright on because you don't have 18 fingers anyway when you mark your 18th tali mark then if you remember or if you wrote down the numbers  then that's your answer

12 - (8x - 20) < 12
Plz answer question

Answers

[tex]12 - (8x - 20) < 12 <=> 12- 8x+20<12<=> -8x <12-20-12 \\<=>-8x <-20<=>8x>20<=>x>\frac{20}{8}=\frac{5}{2}[/tex]

ANSWER: x > 5/2

Ok done. Thank to me :>

Answer:

[tex]x = \frac{5}{2} [/tex]

Step-by-step explanation:

12-(8x-20)<12

12-8x+20<12

-8x<12-12-20

-8x<-20

divide both by negetive 8

x>5/2

x> 2.5

A test has twenty questions worth 100 points. The test consists True/False questions worth 3 points each and multiple choice questions worth 11 points each. Howmany multiple choice questions are on the test?

Answers

Multiple choice questions = 5

True questions = 15

Given that:

Total number of questions = 20

Total worth of point = 100

Multiple choice questions (M) = 11 points each

True false questions (T) = 3 points each

Hence,

M + T= 20 ____(1)

11M + 3T = 100 ____(2)

M = 20 – T

Using the relation in (2)

11(20 – T) + 3T= 100

220 – 11T + 3T= 100

220 – 8T = 100

-8Tf = 100 – 220

-8T = – 120

T = 120/8

T = 15

Mc = 20 – 15

Mc = 5

Multiple choice questions = 5

True false questions = 15

Put these fractions in order from greatest to least:

Answers

Answer:

[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]

Step-by-step explanation:

[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]

13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)

Answers

Answer:

I believe the answer would be A. $200.00

Step-by-step explanation:

This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.

And the current price is 4,200$ for each car.

If you add 200$ to each 4,200$ car, you get 4,400$

After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.

You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.

52,800-42,000=10,800

therefore, A.$200.00 would be the correct answer

I'm not sure if all calculations are correct, but I hope this helps! :)

The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.

To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.

Given:

Number of cars (n) = 12

Price Jay paid for each car (P) = $3,500

Current worth of each car (W) = $4,200

Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000

Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400

Difference in value = C - T = $50,400 - $42,000 = $8,400

Additional increase needed = $10,800 - $8,400 = $2,400

To find the average increase needed per car, we divide the additional increase by the number of cars:

Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200

Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.

The correct answer is A. $200.00.

To know more about average value, refer here:

https://brainly.com/question/32515383

#SPJ2

solve the inequality z + 9 > 6 z > ?

( Equations and Inequalities )

Answers

Answer:

You have to switch sides so the answer is x<z+9

Step-by-step explanation:

three hundred two times one hundred fifty three
302×153​

Answers

Answer:

46,206

Step-by-step explanation:

simple math

Answer:

the answer is 46,206

Step-by-step explanation:

Good luck!!!!

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is what?

Answers

we can change cos to sin by saying cosx=sin(90-x)

now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)

90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)

-x-x=20-90+k.360........kEZ

-2x=-70+k.360.........kEZ

divide all terms by -2

x=35-k.180.......kEZ

Answer:

x=35°

Step-by-step explanation:

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.

When z=−6, evaluate −2(z+9)−(−5) and −2⋅z−2⋅9+5 to show that −2(z+9)−(−5)=−2⋅z−2⋅9+5

Answers

Ignore this, I posted the wrong answer and I don't know how to delete it.

Answer:

Yes/true

Step-by-step explanation:

-2(z+9)-(-5)=-2⋅z-2⋅9+5

sostituisco la lettera dandogli un valore

=-2(-6+9)-(-5)=-2⋅(-6)-2⋅9+5

calcolo e tolgo le parentesi

=-2⋅3+5=12-18+5

Elimino i termini uguali

=-2⋅3=12-18

Somma e moltiplicazione tra i numeri

=-6=-6

The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP

Answers

Answer:   Choice D)  6 months to 10 months

===================================================

Explanation:

x = number of monthsy = number of tadpoles

Highlight the rows that correspond to 6 months and 10 months.

This leads to the two points (6,330) and (10,460).

Apply the slope formula. This is because the slope is the average rate of change.

m = (y2-y1)/(x2-x1)

m = (460-330)/(10-6)

m = 130/4

m = 32.5

This is the average rate of change from month 6 to month 10.

Let A = 32.5 so we can compare it later.

---------------------------

Now let's focus on months 4 and 8

We get the two points (4, 300) and (8, 410)

Use the slope formula again

m = (y2-y1)/(x2-x1)

m = (410-300)/(8-4)

m = 110/4

m = 27.5

Let B = 27.5

--------------------------

For the third answer choice, we have the points (2,240) and (8,410)

Once again, use the slope formula.

m = (y2-y1)/(x2-x1)

m = (410-240)/(8-2)

m = 170/6

m = 28.33 approximately

Let C = 28.33

--------------------------

Lastly for choice D we have the points (4,300) and (10,460)

So,

m = (y2-y1)/(x2-x1)

m = (460-300)/(10-4)

m = 160/6

m = 26.67 approximately

Let D = 26.67

--------------------------

To recap everything, we found these four average rates of change for choices A through D

A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)

We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.

Please can u help me with this question

Answers

2x = 8*3
2x = 24
x = 24/2
x = 12

3x = 6*2
3x = 12
x = 12/3
x= 4

[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]

help as soon as possible
The greatest common factor of y^4. y^6 and y^5 is

Answers

Answer:

Answer:GCF: y^4

Step-by-step explanation:

Factors of:

y^4= (y) (y) (y) (y) = y^4 (1)

y^5 = (y) (y) (y) (y) (y) = y^4 (y)

y^6 = (y) (y) (y) (y) (y) (y) = y^4(y^2)

A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight

Answers

Percentage=(fuel consumed/ full fuel capacity) *100%
=(130000/200000)*100%
=65%

Windstrong has an elevation of -28.7 feet, and Kennington has an elevation of 28.7 feet. Which of the following is true?
A.
Windstrong's elevation < Kennington's elevation
B.
Windstrong's elevation = Kennington's elevation
C.
Windstrong's elevation > Kennington's elevation

Answers

Answer:

b

Step-by-step explanation:

Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in the simplest form


3/4 divided by 3

Answers

3/4 divided by 3 is 1/4.

Step-by-step explanation:

3/4 ÷ 3

recall that the inverse of division is multiplication

=3/4 x 1/3

=1/4

identify which of the following in NOT equivalent to
[tex]2 \frac{2}{3} [/tex]

Answers

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\boxed{A}\qquad \sqrt[4]{8}\implies \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{B}\qquad \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{C}\qquad 2^{\frac{1}{4}}\times 2^{\frac{1}{2}}\implies 2^{\frac{1}{4}+\frac{1}{2}}\implies 2^{\frac{1+2}{4}}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{D}\qquad \left( 2^{\frac{1}{4}} \right)^{\frac{1}{2}}\implies 2^{\frac{1}{4}\cdot \frac{1}{2}}\implies 2^{\frac{1}{8}}\qquad \textit{\large \checkmark}[/tex]

May someone help me with this please?

Answers

Answer:

the first one

Step-by-step explanation:

plz give brainliest

SOMEONE HELP ME PLEASE <3

Answers

Answer:

A.90

Step-by-step explanation:

thank me later

the simple interest on a sum of rs 5000 at 4% p.a. for one year is __________.​

Answers

Answer:

Principal = Rs. 5000

Rate of Interest = 5%

Number of years = 2 y 3 m = 2 1/4 years

Interest = (P x N x R) / 100

ie (5000 x 9/4 x 5) /100= Rs. 562.50

how many degrees is 37 degrees warmer than -13

how many is 38 degrees warmer than -20

Answers

Answer:

98.6° Fahrenheit ( i did it in celsius sorry if i got it wrong)

Step-by-step explanation:

Simplify the square root of 5 times the cube root of 5.

I know the answer is, five to the five sixths power but I would like to know the steps to solve it.
Please help me with it, I'm not doing so well right now, and I need help.

Answers

Answer:

Step-by-step explanation:

$5.15 per 5-pound bag

Answers

Answer: 1 pound = 1.03

Step-by-step explanation:

not sure what you wanted from this but here are possible answer

Hey there!

When you hear or see the word “per” in math, think of the question/word problem telling you to find the “for each”. This basically mean you’re dividing. So, let’s divide your numbers from each other.

$5.15/5 lb

= 5.15 ÷ 5 lb

= 5.15 ÷ 5 lb

= $1.03

Therefore, your answer SHOULD be: $1.03

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Help help hep help help math

Answers

Answer:

Angle 5

Step-by-step explanation:

A positive real number is 2 less than another. When 4 times the larger is added to the
square of the smaller, the result is 16. Find the numbers.

Answers

Answer:

by how i was taught its 2

Step-by-step explanation:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25, what are the costs of basketball game tickets and football game tickets?

Answers

Answer:

Basketball: $6.75

Football: $7.50

Step-by-step explanation:

lmk if you want an explanation

The costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

What is a linear equation?

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.

It is given that:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25.

The linear equation can be framed:

3x + 4y = 50.25

5x + 5y = 71.25

Here x is the cost of basketball game tickets and y is the football game ticket.

After solving the above linear equation by substitution method,

5([50.25 - 4y]/3) + 5y = 71.25

y = $6.75

x = $7.5

Thus, the costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?

Answers

First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.

Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!

The bus will travel 162.5 miles!

Hope this helps :)


Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?

Answers

Answer:

Step-by-step explanation:

A∩B = 4

4 is in both set so it unites them therefore it’s the union

QUESTION 7
Find the slope of the line passing through the points (8, 3) and (9,7).

A. 4
B. -4
C. 1/4
D. -1/4

Answers

I got the X and Y wrong, its 4. Sorry! mark the other answer instead

Reason:

9 - 8 = 1

7 - 3 = 4

Because that 7 and 3 are Y, 4 goes over. so it makes a whole number

Answer:

A. 4

Step-by-step explanation:

yeah-ya............. right?

-12/5+3/10/11/14-(-9/14)

Answers

Answer:

-6/5

Step-by-step explanation:

I hope it helps, bye

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