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3 years ago

Please help!

Mathematics

2 answers:

photoshop1234 [79]3 years ago

7 0

The answer to this is b

Murljashka [212]3 years ago

3 0

Answer:

Choice B. 1/4 x + 4

Step-by-step explanation:

(1/2x+6)-(1/4x+2)

1/2x + 6 - 1/4x - 2

1/2 = 2/4

combine same values

1/4 x + 4

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Corbin is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 11 inches.

sveticcg [70]

Answer:

I. 94.99 in²

II. $0.23

Step-by-step explanation:

Given the following data;

Diameter of wheel = 11 inches

$\pi = 3.14$

Cost of wheel = $21.35

$Radius, r = \frac {diameter}{2}$

$Radius, r = \frac {11}{2} = 5.5 \; inches$

Part A

To find the area;

We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;

$Area, A = \pi r^{2}$

Substituting into the equation, we have;

$Area, A = 3.14 * 5.5^{2}$

$Area, A = 3.14*30.25$

Area, A = 94.99 in²

Part B

To find cost per square inch;

$Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel}$

$Cost \; per \; square \; inch = \frac {21.35}{94.99}$

Cost per square inch = $0.23

6 0

3 years ago

The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state. The size of the

Ann [662]

The smallest county is 129 square miles large.

Step-by-step explanation:

Let,

Smallest county = x

Largest county = y

According to given statement;

The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.

y = x+6064 Eqn 1

The size of the largest county is 48 times the size of the smallest county plus one square mile.

y = 48x+1 Eqn 2

As Eqn 1 and Eqn 2 are both equal to y, therefore,

Eqn 1 = Eqn 2

$x+6064=48x+1\\6064-1=48x-x\\6063=47x\\47x=6063$

Dividing both sides by 47

$\frac{47x}{47}=\frac{6063}{47}\\x=129\ square \ miles$

The smallest county is 129 square miles large.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

7 0

3 years ago

Form a polynomial f(x) with real coefficients having the given degree and zeros.

dimaraw [331]

There are many polynomials that fit the bill,
f(x)=a(x-r1)(x-r2)(x-r3)(x-r4) where a is any real number not equal to zero.
A simple one is when a=1.
where r1,r2,r3,r4 are the roots of the 4th degree polynomial.
Also note that for a polynomial with *real* coefficients, complex roots *always* come in conjugages, i.e. in the form a&pm;bi [&pm;=+/-]

So a polynomial would be:
f(x)=(x-(-4-5i))(x-(-4+5i))(x--2)(x--2)
or, simplifying
f(x)=(x+4+5i)(x+4-5i)(x+2)^2
=x^4+12x^3+77x^2+196x+164 [if you decide to expand]

6 0

3 years ago

C=5/9(F−32)

butalik [34]

Answer:

Step-by-step explanation:

5 0

3 years ago

Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the numb

kipiarov [429]

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

3 0

3 years ago