Write a numerical expression for the verbal expression. the difference of six and two divided by four

A satellite camera takes a rectangle-shaped picture. The smallest region that can be photographed is a 22-km by 66-km rectang

alexgriva [62]

Find what that area is
22*66=1452

5 times of that is
1452*5=7260

s=seconds

(22+33s)(66+33s)=7260
1089s^2+2904s+1452=7260
minus 7260 from both sides
1089s^2+2904s-5808=0
factor or use quadratic formula
(363)(x+4)(3x-4)=0
set each to zero
x+4=0
x=-4, false, it is increasing, not decreasing

3x-4=0
3x=4
x=4/3

answer is 4/3 seconds

3 0

3 years ago

A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability

saw5 [17]

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

$D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136$

Total outcomes:

6 people from a set of 16.

$T = \frac{16!}{6!10!} = 8008$

Probability:

$p = \frac{D}{T} = \frac{3136}{8008} = 0.3916$

39.16% probability of selecting three Democrats and three Republicans

5 0

2 years ago

Donna sells pencils for $2 and pens $3. She sold 11 items and made $30. How many pens did she sell ?

finlep [7]

Donna sold 3 pencils and 8 pens solved using simultaneous equation

What is a simultaneous equation?

Simultaneous equation refers to related equations that are solved at the same to derive answers to the unknown variables

Let assume that X pencils were sold and Y pens were sold

The total revenue is the sum of the prices multiplied by the quantities sold.

2X+3Y=30 (equation 1)

The sum of X and Y sold is 11

X+Y=11 (equation 2)

multiply the second equation by 2

2*(X+Y=11)

2X+2Y=22 (equation 3)

subtract equation 3 from 1

(2X+3Y=30)-(2X+2Y=22)

Y=8

Substitute for Y in equation 2

X+8=11

X=11-8

X=3

Which means he sold 3 pencils and 8 pens.

Find details on simultaneous equation in the link below:

brainly.com/question/20627346

#SPJ1

4 0

2 years ago

Elapsed time is 4 hours and 51 minutes, what is the start time?

Vlada [557]

Answer:

may 22

Step-by-step explanation:

6 0

3 years ago

Drag each label to the correct location on the table. Each label can be used more than once. Match the attributes to the quadrat

nikklg [1K]

9514 1404 393

Answer:

f: x-intercept (-2, 0), y-intercept (0, -8), axis of symmetry x = 1
g: x-intercept (-2, 0), y-intercept (0, 8), minimum value -1
h: axis of symmetry x = 1

Step-by-step explanation:

The equations can be written in factored form and vertex form to see the x-intercepts, axis of symmetry, and extreme value.

The y-intercept is the constant in the equation in standard form.

The axis of symmetry is the vertical line through the vertex.

__

f(x) = x² -2x -8 = (x -4)(x +2) = (x -1)² -9

x-intercept (-2, 0), y-intercept (0, -8), axis of symmetry x = 1

__

g(x) = x² +6x +8 = (x +2)(x +4) = (x +3)² -1

x-intercept (-2, 0), y-intercept (0, 8), minimum value -1

__

h(x) = -x² +2x = -(x)(x -2) = -(x -1)² +1

axis of symmetry x = 1

_____

<em>Additional comment</em>

We have only listed the intercepts, axis, and extreme where the values match a label.

5 0

3 years ago