MATHEMATICS HIGH SCHOOL

Students in Miss Moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments. Travis has passed 11 tests, and his classmate, Jenifer, has passed 2 tests. Going forward, Travis plans to pass 2 tests per week. Meanwhile, Jenifer plans to pass 5 tests per week. Eventually Jenifer will catch up to Travis. When the number of tests each student has passed are equal, how many tests will each student have passed and how many weeks will it take?

Answers

Answer 1

Answer:

Jenifer

2+5 week 1

7+5 week 2

12+5 week 3

17 week4

Travis

11+2 week 1

13+2 week 2

15+2 week 3

17 week 4

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Lia has already written 3 pages, and she expects to write 2 pages for every additional hour spent writing. How many hours will Lia have to spend writing this week in order to have written a total of 7 pages? Write and solve an equation to find the answer.

Which expression uses the greatest common factor and distributive property to find 10+50?

Answers

ab+ac=a(b+c) where a is the greatest common factor
find greatest common factor of 10 and 50
10=1,2,5,10
50=1,2,5,10,25,50
greatest common is 10
a=10
10(1)+10(5)=10(1+5)=10(6)=60

Oliver buys yen stamps each costing 77centscomplete the calculation he could do to find the total cost

Answers

Hi!
I think that you misspelled the question, and you mean that Oliver bought "ten", not "yen" stamps- yen is the currency of Japan.

So we have 10 stamps of 77 cents each:

10*77=770 cents

He has to pay 770 cents, or since 100 cents are one dollar, 7 dollars and 70 cents.

Which statement is true about a model of a prime polynomial? It cannot be modeled with a rectangle. It can be modeled with a square. It cannot be modeled with all positive tiles. It can only be modeled with an odd number of tiles. please help me

Answers

The correct answer is:

It cannot be modeled with a rectangle.

Explanation:

When using area tiles to represent polynomials, we arrange the tiles into a rectangle in order to find the factors of the polynomial.

Since the area of a rectangle is found by multiplying length and width, if we find the "length" and "width" of the polynomial rectangle, we have the factors that multiply to make up that polynomial.

However, if a polynomial is prime, its only factors are 1 and itself. This means the "length" would be the polynomial itself, and the "width" would be 1. This means we cannot arrange the polynomial into a rectangle.

Answer:

A : it cannot be modeled with a rectangle

Step-by-step explanation:

edge 2020 . good luck !

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.Select answers;
This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

Answer: The function can be represented by the exponential function :

$f(x)=60(1+0.15)^x=60(1.15)^x$

This function has no x-intercept .

After 7.86 years the value of the investment will be 3 times the initial value .

After 8 years the value of the investment will be $184.00.

Step-by-step explanation:

The exponential growth function is given by :-

$f(x)=A(1+r)^x$ , where A is the initial value , r is the rate of growth and x is the time period.

Given: A = $60

r=15%=0.15

Now, the function can be represented by the exponential function :

$f(x)=60(1+0.15)^x=60(1.15)^x$

We know that exponential function has no intercept , thus this function has no intercept.

∴

Now, at x=4

$f(4)=60(1.15)^4\approx104.94$

Now, at x=6

$f(6)=60(1.15)^6=138.78\approx139$

Now, at x=7.86

$f(7.86)=60(1.15)^(7.86)=179.98180=3(60)$

∴ After 7.86 years the value of the investment will be 3 times the initial value

Now, at x=8

$f(8)=60(1.15)^8=183.54\approx184$

The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)

Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = 144 – 16t2, where t is the number of seconds it takes the car to travel down to each point on the ride. For which interval of time is Greg’s car moving in the air?

Answers

Answer:

It takes 3 seconds over the interval [0,3]

Step-by-step explanation:

To find when the roller coaster reaches the ground, find when d=0.

$0=144-16t^2$

To solve divide each term by 16 and factor:

$(0)/(16)=(144)/(16) -(-16t^2)/(16) \n0= 9 - t^2\n0=(3-t)(3+t)$

Solve for t by setting each factor to 0.

t-3=0 so t=3

t+3=0 so t=-3

This means the car is in the air from 0 to 3 second.

The time interval will be 0<t<3 or (0, 3)

What is interval?

A interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

Given:

d = 144 – 16t²

Now,

d>0

144 – 16t²>0

144>16t²

144/16>t²

9>t²

t<±3

Since, timecan't be negative.

So, t<3

Hence, the interval for which Greg’s car moving in the air is, 0<t<3 or (0, 3).

Learn more about this concept here:

brainly.com/question/2055227

#SPJ5

Out of 32 students in a class, 5 said they ride their bikes to school. based on these results,how many of 800 students in the school ride threr bikes to school?

Answers

Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students

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