Christi buys 48 barrettes. She shares the barrettes equally between herself and her 3 sisters. Write an expression to represent the number of barrettes each girl gets.

Answers

Answer 1
Answer:

Answer: 48/4

Step-by-step explanation:

Given : Total barrettes bought = 48

The total number of people shares the barrettes =3+1=4  (Including Christi)

Now, if She shares the barrettes equally between herself and her 3 sisters., then the expression to represent the number of barrettes each girl gets will be :-

\text{Total barrettes}/\text{Total persons}\n\n=48/4  ( Using division operation)

Hence, the expression to represent the number of barrettes each girl gets:

48/4

Answer 2
Answer: 48 barrettes is being shared by a total of 4 people (herself+3 sisters=4) 
What you're going to do is divide 48 by 4 and each one receives: 12 barrettes.

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.37 7 repeating as a fraction
For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at x = 5. What is definitely true about x = 5?Both f(x) and g(x) cross the x-axis at 5. Both f(x) and g(x) cross the y-axis at 5. Both f(x) and g(x) have a maximum or minimum value at x = 5. Both f(x) and g(x) have the same output value at x = 5.

Given: 5 > x + 7. Choose the solution set.

{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}

Answers

Answer:

{x | x R, x < -2}

Step-by-step explanation:

Answer:

x is less than negative 2

Step-by-step explanation:

Using the properties of addition, we move the 7 over to the five, making it negative.

This makes negative 2 because we subtract 7 from 5.

Then, we can flip the equation to understand it better, making the x in the front.

This makes the final solution x is less than -2

A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green and striped).

Answers

G = number of green = 7

S = number of striped = 8

T = number total = 10+7+8 = 25

probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S)  ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

P(green and striped) = 56/625

P(green and striped) = 0.0896

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

In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

Line ET is tangent to circle A at T, and the measure of Arc TG is 70°.What is the measure of ∠GET?

A. 55°
B. 20°
C. 35°
D. 110°

Answers

Line ET is tangent to circle A at T

∴ ET ⊥ TN 
∴ ∠ ETN = 90
the measure of Arc TG = 70

∠ TNG = half the measure of Arc TG = 0.5 *70 = 35

Δ ETN ⇒ The sum of all angles = 180

∴∠ GET = ∠ NET = 180 - (90 + 35 ) = 55


∴ The correct answer is option A. 55°



I will calculate this problem in two ways

alternative method 1
we know that
The inscribed angle measures half of the arc it comprises.
∠TNE=(1/2)*arc TG------> (1/2)*70°----> 35°

the triangle TEN is a right triangle
∠TNE+∠GET=90°-----> by complementary angles
∠GET=90-35---> 55°

the answer is
∠GET=55°

alternative method 2
we know that
The measure of the external angle is the semi difference of the arcs that it covers.
∠GET=(1/2)*[arc TN-arc TG]---> (1/2)*[180-70]---> (1/2)*110---> 55°

the answer is
∠GET=55°


Suppose you invest $580 at 10% compounded continuously , write an exponential function to model the amount in your investment account ?

Answers

Interest=percent times rate(in years) times principal.
Or I=PRT
So you invest $580 so I=$580 Rate would be .10 and time would be 1 for one year. So if you put this into the formula you get
$580=P(.65)(1)
So $580=.65P so $580/.65=P so P is approximately $892.31 per year.

Find the particular equation of quadratic function containing (-2,-11) (4,13) and (6,29)

Answers

f(x) = a*x^2 + b*x + c; where a is not 0;
f(-2) = -11 => 4a -2b + c = -11;
f(4) = 13 => 16a +4b + c = 13;
f(6) = 29 => 36a + 6b + c = 29;
You must find a, b, c;

What is 24/40 in simplest form??

Answers

it is 3/5 because 40 divided by 8 is 5, and 24 divided by 8 is 3

Final answer:

The fraction 24/40 can be simplified to 3/5 by dividing both the numerator and the denominator by the greatest common divisor, which is 8.

Explanation:

To simplify the fraction 24/40, you have to find the greatest common divisor (GCD), also called the greatest common factor, for 24 and 40. The GCD refers to the largest integer that divides two numbers without leaving a remainder. In this case, the GCD for 24 and 40 is 8.

Now, divide both the numerator and the denominator of the fraction 24/40 by the GCD. This gives us:
24 ÷ 8 / 40 ÷ 8 = 3/5

So, the fraction 24/40 in simplest form is 3/5.

Learn more about Simplifying Fractions here:

brainly.com/question/26436699

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