Jeania's parents have given her a interest-free loan of $100 to buy a new pair of running shoes She has to
pay back the loan with monthly payments of $20 each.
Write a function rule for the balance of the function (p), where p represents the number of
payments Jeania has made.

Answer:

1) one and two-thirds hour

2) 2.4 miles

Answer:

x = 6       la cantidad de estantes

y = 65    cantidad de libros

Step-by-step explanation:

LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.

La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:

y  +  7  = 12*x        (1)

La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:

y  -   5   = 10*x     (2)

Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.

Despejamos   y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x

y  =  12*x  - 7

(12*x - 7 ) - 5  = 10*x

2*x  -12 = 0

2*x = 12

x = 6       la cantidad de estantes, y

y  =  12*x -7

y  =  72  -  7

y =  65    cantidad de libros

Answer:

Amy types at a rate of 50 words per minute

Step-by-step explanation:

In this question, we are interested in calculating the rate at which April is typing.

From the question, we can deduce that she typed a 5 page report, with each page having a total of 500 words.

Now, if each page has 500 words, the total number of words in all of the pages will be 5 * 500 = 2,500 words

Now, from here, we can see that 2,500 words were typed in 50 minutes.

The number of words per minute will be ;

Total number of words/Time taken = 2500 words/50 minutes

That will give a value of 50 words per minute

Answer:

x - y - 2 ≥ 0

Step-by-step explanation:

THIS IS COMPLETE QUESTION

computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeters. A random sample of 16 computer chip is taken. What is the probability that the sample mean will be below 0.95?

Answer:

the probability is P=0.045

Step-by-step explanation:

We were given mean of computer chips as 1 centimeter and a standard deviation of 0.1 centimeter

We were given

σ=0.1

n=16

We calculate:

Z=(0.95-1)/0.1 √16

Z=-0.125

Using the standard z- tables. to get the probability we have

P(X<0.95)=P(z<-0.115)=0.045

Therefore, probability is P=0.045

Answer:

i). If p = 7, then each person would get 5 cookies, with 1 cookie left over.

ii). If p = 10, then each person would get 3 cookies, with 6 cookies left over.

iii). If p = 11, then each person would get 3 cookies, with 3 cookies left over.

Step-by-step explanation:

First option is wrong because 5 dividing 36 is 7, not 6. It would remain 1, not 4.

Second option is correct because 36 divided by 7 would give you 5 remaining 1.

Third option is correct because 8 dividing 36 is 4, but will remain 4, not 3.

Fourth option is correct because 36 divided by 10 is 3, then will remain 6.

Fifth option is correct because 36 divided by 11 is 3, remaining 3.

Answer:

B,D,E

Step-by-step explanation:

edge

Answer:

x=-2 and x = 5

Step-by-step explanation:

The solutions to the equation are where the graph crosses the x axis

We can see that the graph crosses at x=-2 and x = 5

Answer:

x = -2

x = 5

Step-by-step explanation:

The answer is found when the graph crosses the x-axis

Hope this helps :D

0.75x+0.8(x + 10) = 101

Answer:

0.75x+0.8(x+10)=101

Step-by-step explanation:

Jared attempted x shots and made 75% of them, or 0.75x. Zach attempted 10 more shots than Jared did, which is represented as x + 10. He made 80% of them, or 0.8(x + 10). Together, they made 101 shots. So, add the two expressions and set the sum equal to 101:

0.75x + 0.8(x + 10) = 101.

Answer:

Times

first part   x  =  1,33 h       second part  y =  0,66 h

distances  d₁ (first part ) d₁ = 4 miles    d₂  (second part )  d₂ = 0,999 miles

Step-by-step explanation: IMPORTANT NOTE: EVEN PROBLEM STATEMENT DID NOT ASK ANY QUESTION WE WILL ASSUME QUESTION ARE: LENGTH ( IN MILES ) AND SPENT TIME  OF EACH PART OF THE HIKE

We formulate a two-equation system according to:

x = time for the first part

y = time for the second part

then      x  +  y  =  2           or      y = 2 - x

And 3 m/h * x(h)   +  1,5 m/h * y (h)  = 5

3*x  +  1,5*y  = 5

3*x + 1,5 * ( 2 - x )  = 5

3*x  + 3  - 1,5*x  =  5

1,5*x  = 2

x  = 2/1,5 (h)

x = 1,33 (h)

And  y  =  2 -  1,33       y  =  0,66 (h)

Distances are

first part  d₁ = 3*1,33          d₁ =  4 miles

second part  d₂ = 1,5*0,66        d₂  = 0,999 miles

Answer: [tex]x=-3/4[/tex]

Subtract 36x from both sides

[tex]20x-2-36x=36x+10-36x\\-16x-2=10[/tex]

Add 2 to both sides

[tex]-16x-2+2=10+2\\-16x=12[/tex]

Divide both sides by -16

[tex]\frac{-16x}{16} =\frac{12}{-16} \\x=\frac{-3}{4}[/tex]

Answer:

x = - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

20x - 2 = 36x + 10 ( subtract 36x from both sides )

- 16x - 2 = 10 ( add 2 to both sides )

- 16x = 12 ( divide both sides by - 16 )

x = [tex]\frac{12}{-16}[/tex] = - [tex]\frac{3}{4}[/tex]

As a check

Substitute this value into the equation and if both sides are equal then it is the solution.

left side = 20 × - [tex]\frac{3}{4}[/tex] - 2 = - 15 - 2 = - 17

right side = 36 × - [tex]\frac{3}{4}[/tex] + 10 = - 27 + 10 = - x17

Since both sides are equal then x = - [tex]\frac{3}{4}[/tex] is the solution

Answer:

4.331507 x 10⁶

Step-by-step explanation:

you move the decimal place 6 times to the right, so 10⁶

Answer:

Step-by-step explanation:

4,331,507=4.331507×10^6

Answer:

(a) 40

(b) 15% per week, to the nearest percent.

Step-by-step explanation:

Given:

old production,

P(w) = 230(1.1^w)

(a) At week 0, w=0, so

P(0) = 230(1.1^0) = 230

Difference (old - new) = 230-190 = 40

(b) about 15% per week

(c) from the 4th week on

approximate growth rate of new factory

N(w) = 190(R^w)

we know

w=0, N(0) = 190

w=7, N(7) = 505

so R=(505/190)^(1/7) = 1.1499 = 1.15 approx.

(c)

The old production tabulated:

w P(w) New

0 230 190

1 253 220

2 278 252

3 306 290

4 337 337

5 370 380

6 407 440

7 448 505

So we see that at the end of the 4th week, the two productions match, and new factory begins to exceed old production.

Answer:

not a term

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

d = 11- 5 = 17 - 11 = 23 - 17 = 6

This indicate the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 6, thus

[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

Equate this to 301 and solve for n

6n - 1 = 301 ( add 1 to both sides )

6n = 302 ( divide both sides by 6 )

n = 50.333....

Since n is not an integer value then 301 is not a term in this sequence.

Answer:

Rock CD's=21

Country CD's=12

Soundtrack CD's=3

Step-by-step explanation:

let

r= rock CD's

c = country CD's

s = soundtrack CD's

Total CD's=r + c + s =39

2c=r

c/4=s

2c+c+c/4=39

8c+4c+c=156

13c=156

c=12

Substitute c=12 into 2c=r

2c=r

3(12)=r

24=r

r=24

Substitute c=12 into c/4=s

c/4=s

12/4=s

3=s

s=3

Therefore, she has

c=12

s=3

r=24

before she borrowed you 3 rock CD's

Sha has

r=21

s=3

c=12

after you borrowed 3 rock CD's

Answer:

(n^(2)+6n-4)(2n-4)

Answer:

One edge of the cube is 5 cm, one edge of the square is 8 cm, so the edge of the cube is 3 cm shorter than the edge of the square.

Step-by-step explanation:

The volume of the cube is found by the formula

V = s³,

where s is the side length (called the edge in this problem)

Since V = 125 cm³, we can take the cube root of 125 to find the edge length.

The cube root of 125 is 5, ( 5³ = 125)

So the edge of the cube is 5 cm

The are of a square is found by the formula

A = s² ,  

where s is the side length (called the edge in this problem)

Since A = 64 cm², we can take the square root of 64 to find the edge length.

The square root of 64 is 8  (8² = 84)

So the edge of the square is 8cm

Comparing the two edges tells us that the edge of the cube is 3cm shorter than the edge of the square.

Correct Presentation of Question

Which numbers are domain? (-3,-2) (3,0)(-1,2)(1,2)

Answer:

Domain = {-3,-3,-1,1}

Step-by-step explanation:

Given

(-3,-2) (3,0)(-1,2)(1,2)

Required

Determine which numbers are domain

A function is always represented as thus (x,y) in this format (domain, range);

Tabulate the given data

x   ||   y

-3  ||  -2

3  ||  0

-1  ||  2

1  ||  2

The values under the x column are the domain;

Hence, the domain are {-3,-3,-1,1}

Answer:

slope - (2x)

y-intercept - (-1)

Step-by-step explanation:

-8x + 4y = - 4

4y = 8x - 4

y = 2x - 1

Answer:

Step-by-step explanation:

Let the mass of the metal be x

From the question

5/9 of the metal is 7kg

That's

[tex] \frac{5}{9} x = 7[/tex]

Multiply through by 9

We have

5x = 7 × 9

5x = 63

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{63}{5} [/tex]

We have the final answer as

x = 12.6 kg

Hope this helps you

Answer:

Step-by-step explanation:

In this problem we are expected to do unit conversion from inches to feet.

from table we can see that

if           1 inches is 0.0833333 ft

then      73 inches will be x ft

By cross multiplication we can solve for the value of x which is

]x= 6.08 ft  

Hence the person is  6.08 ft    tall

Answer:

C

Step-by-step explanation:

They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD

Answer:

B, air pressure in a car tire.

Step-by-step explanation:

Discrete data is data which come in intervals, and isn't continuous.

The number of home runs can only go 0 -> 1 -> 2 -> 3, you can't have 2.5 or 3.2 home-runs.

The number of pills in a container can also only go 0 -> 1 -> 2. Again, can't have 0.7 pills.

The number of cars per household is also discrete. The number of cars in a household goes 0 -> 1 -> 2, you can't have half a car!

However, the air pressure is continuous. If you're increasing the air pressure, it'll (in theory) go from 0 -> 0.000...001 -> 0.000..002 etc. It doesn't "jump" from 0 pressure -> 1 pressure like the others, it goes smoothly. It can be any value.

So the air pressure isn't discrete data.

Answer:

D

Step-by-step explanation:

Just did it

A function assigns the values. The equation that represents the function shown on the graph is y=4x.

A function assigns the value of each element of one set to the other specific element of another set.

Given that the graph represents revenue in dollars as a function of greeting cards sold. Therefore, we can write the function as,

Revenue ∝ Number of cards sold

Since the Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. Therefore, we can write,

y ∝ x

Removing the proportionality, we will get,

y = k x

Now, substitute any point through which the graph of the function passes to get the value of k,

20 = k × 5

20/5 = k

k = 4

Thus, the function can be represented as,

y = kx

y = 4x

Hence, the equation that represents the function shown on the graph is y=4x.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

m∠4 is the same as m∠2

I measured it with a protracter

( plz mark me as brainliest, that would be most appreciated! )

Answer:

b = -3

Step-by-step explanation:

7b-27=8(6+4b)

Distribute

7b -27 = 48 + 32b

Subtract 7b from each side

7b-7b-27=48+32b-7b

-27 = 48+25b

Subtract 48 from each side

-27-48 = 48+25b -47

-75 = 25b

Divide each side by 25

-75/-25 =25b/25

-3 =b

Answer: b= -3

Step-by-step explanation:

[tex]7b-27=8\left(6+4b\right)[/tex]

distribute

[tex]7b-27=48+32b[/tex]

add 27 to both sides

[tex]7b-27+27=48+32b+27[/tex]

[tex]7b=32b+75[/tex]

subtract 32b on both sides

[tex]7b-32b=32b+75-32b[/tex]

divide -25 on both sides

[tex]-25b=75[/tex]

[tex]b=-3[/tex]

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 5 and (a, b) = (5, - 8 ), thus

y - (- 8) = 5( x - 5), that is

y + 8 = 5(x - 5) → D

Answer:

Step-by-step explanation:

Use the formula

[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given:

[tex]A(t)=5000(1+.05)^6[/tex] and simplifying a bit:

[tex]A(t)=5000(1.05)^6[/tex] and a bit more:

A(t) = 5000(1.340095641) so

A(t) = 6700.48

Answer:

cot α = 1/tan α = 1/2.4 = 0.42

Step-by-step explanation:

cot α=0.42

sin α = 0.92

we know that  cot α = 1/tan α

thus,

cot α = 1/tan α = 1/2.4 = 0.42

we know that

sin(x)=tan(x)1+tan2(x)√

[tex]\ sin(\alpha )=tan(\alpha )/\sqrt{ 1+tan^2(\alpha )} \\sin(\alpha )= 2.4/\sqrt{1+2.4^2} = 2.4/\sqrt{1+5.76}\\sin(\alpha )= 2.4/\sqrt{6.76} = 2.4/2.6 = 12/13 = 0.92[/tex]

sin α = 0.92

Answer:A terminating decimal between -3.14 and -3.15.

Step-by-step explanation:

A natural number includes non-negative numbers like 5, 203, and 18476.

It is encapsulated by integers, which include negative numbers like -29, -4, and -198.

Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.

By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.

Answer:

Step-by-step explanation:

Hope this Helps ;)