Which is a solution to the equation? (x −2)(x + 5) = 18 Group of answer choices x = −4 x = −2 x = −7 x = −10

We can decompose the shape into two triangles, one with a base of 4 yds and a height of 5 yds, and the other with a base of 4 yds and a height of 13 yds.

The area of a triangle is calculated as follows:

Then, the area of the triangles are:

And the are of the shape is 10 + 26 = 36 yd²

Answer: 20 quarters

Step-by-step explanation:

As we look at this problem we can convert $6.50 dollars into 26 quarters. Us already knowing that Carolina has $1.50 (6 quarters) we can take the two numbers and minus both of them. 26 quarters ($6.50) - 6 quarters ($1.50) = 20 quarters($5.00)

Step-by-step explanation:

every $ is equivalent to 4 quarters.

every half-$ is equivalent to 2 quarters.

after all, 1 quarter = $0.25.

so, the equation is

4×1.5 + g = 4×6.5

or simplified

6 + g = 26

and from there we get then immediately that

g = 20

Answer:

2.5

Step-by-step explanation:

point B

4K = 10

4/4 K = 10/4 K

K = 5/2 = 2.5

It can be seen that it is a repeating decimal because the division is continuous

The solution of the equation is x = 10. The graph is attached below.

We are given an equation. The equation has one variable. The equation is given below.

2x = 50 - 3x

First of all, we will solve the equation directly to find the solution.

2x = 50 - 3x

5x = 50

x = 10

The above equation can be also be solved by graphing y = 2x and y = 50 - 3x. These are two linear equations. These equations represent two straight lines. The solution is found by locating the intersection point of these two straight lines on the graph. The graph of the two straight lines is attached below.

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Answer:

20 is the answer

Step-by-step explanation:

Given that the ratio is $4 per hour, we just have to find the table that shows this relation.

Observe that table C shows that the Total Money Earned is 4 times the Hours worked.

Answer:

There is no solution to this equation

Step-by-step explanation:

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

2x+1=2x-4

0x = -5

Answer is no solution

this statement is false

2x+1=2(x-2)

2x+1=2x-4

cancel equal terms

1=-4

Step-by-step explanation:

"how long" is the question.

so, we will need an answer in seconds.

the other options do not define a time duration.

to fall from top to the ground it means the object fell 1503 ft, that means that s(t) = 1503.

16t² = 1503

t² = 1503/16

t = sqrt(1503/16) = sqrt(9×167/16) = 3/4 × sqrt(167) =

= 9.692135987... seconds

it took the object 9.692135987... seconds to fall from the top to the ground.

hello

we're required to find the second end point from the given values

end point = (5, 0)

mid point = (1, -1)

to solve this problem, we'll need to use thw formula for mid-point

now let's identify our variables

let's substitute in our values and solve respectively

now let's do the same for y

the values of the other end point are (-3, -2)

Answer:

23467788

Step-by-step explanation:

666789909 +75445899553235653889

I'm sure the

Omar and Devin both leave the bookstore at the same time, but in opposite directions.

Let the speed of Omar = x

Speed of Devin = x + 7

They travel for 3 hours

Speed = Distance/Time

Distance = Speed x Time

Since, they are 93 miles apart

93 = (speed pf Omar + Speed of Devin) Time

93 = (x + x + 7)3

93 = (2x + 7)3

93 = 6x + 21

93 - 21 = 6x

6x = 72

x = 72/6

x = 12

Thus, Speed of Omar is 12 mph

Speed of Devin : x + 7

x + 7 = 12 + 7

= 19

Thus, speed of Devin is 19mph

595 hours is time it will take to fill the swimming pool  .

A fraction is a mathematical symbol representing any quantity of equal parts, and it also represents a portion of a whole. When employed in conversational English, a fraction—such as one-half, eight-fifths, and three-quarters—indicates the number of components of a particular size.

inlet pipe will fill the pool in 34 hours. Every hour, it fills 1/34 of the pool

Outlet pipe will empty the pool in 35 hours. Every hour, it empties 1/35 of the pool.

In x hours we want 1/2 the pool to fill, since half is already filled.

We want  (x/34) - (x/35) = 1/2

multiply by 1190 both sides, the LCD.

35x-34x=595 (1190/2)

x=595 hours

in that time 595/34-595/35=0.5

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The other side of the rectangle is 9 cm.

Given that:-

Perimeter of the rectangle = 28 cm

One side of the rectangle = 5 cm

We have to find the other side of the rectangle.

Let the length of the rectangle be 5 cm and,

The breadth of the rectangle be b cm.

We know that,

Perimeter of the rectangle = 2(l + b)

Hence, we can write,

2(5 + b) = 28

5 + b = 28/2

5 + b = 14

b = 14 - 5

b = 9 cm

Hence, the other side of the rectangle is 9 cm.

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Two over nince is fraction formed by two integers which equal a repeting decimal, which means it's a rational number.

Answer:

80 cm ×2 = 160 but it is not there in the option

A very simple way to know the number of possible combinations in a binary number is given by the next formula:

Now, we should remember that an hexadecimal number contain 16 different digits, from 0 to F. Therefore

Thus, we will need 4 hexadecimal numbers to achieve the same values as a 16-bit number.

For the base-5 number we can do a similar procedure:

Therefore, we would need at least 7 numbers base-5 to achieve something similar to 16-Bit number

The sum of the interior angles of a 22-sided polygon is (d) 3600 degrees

From the question, we have the following parameters that can be used in our computation:

Shape = 22-sided polygon

Parameter to calculate = the sum of the interior angles

The sum of the interior angles is calculated using the following angle formula

The sum of the interior angles = ( n − 2 ) × 180 ∘ where is the number of sides

In this case

n = 22

Substitute the known values in the above equation, so, we have the following representation

The sum of the interior angles = (22 − 2) × 180∘

Evaluate

The sum of the interior angles = 3600∘

Hence, the angle is (d) 3600 degrees

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Answer:

perpendicular slope = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + y = 9 ( subtract x from both sides )

y = - x + 9 ← in slope- intercept form

with slope m = - 1

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1

People in large cities use taxis to get from one location to another; the cost is $25.20 every 36 miles, and a 47-mile taxi ride will cost $32.9.

Multiplication Rule If events A and B occur in the same sample space, the probability of both A and B occurring is equal to the probability that A occurs multiplied by the probability that B occurs, given that A has occurred.

Returning to the previous example, the first response is correct because it follows the BODMAS principles, which state that division can be done before multiplication and must be done before addition. Multiplication happens before addition.

Given,

Cost every 36 miles = 25.20

Cost of one mile = Cost for 36 miles / 36

Cost of one mile = 25.20/36

Cost of one mile = 0.7

Cost of 47 miles = Cost of one mile ×  47

Cost of 47 miles = 0.7 ×  47

Cost of 47 miles = 32.9

47 miles taxi ride will cost 32.9

The complete question is:

In large cities people out and take taxis to get from one place to another the cost is $25.20 every 36 miles how much is a 47 mile taxi ride

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Thus, the equation of the straight line passing through the point (1,4) and (2,7) is: y=3x+1

A line passing through the coordinate plane also passes through points (1,4) and (2,7)

Let point(1,4) be=P

let point(2,7) be=Q

The formula for the equation of a straight line when two points are given is given as:

y-y1=m X (x-x1) + c

where m=y2-y1/x2-x1

here y= Y axis

x= X axis

m= Slope of the line

c= constant

Here taking P as point 1 and Q as point 2 we get:

x1=1     y1=4

and

x2=2   y2=7

m=y2-y1/x2-x1

Now putting values

m=(7-4)/(2-1)

m=3/1

Thus m=3

now putting values in the equation

(y-4)=3(x-1) +c

y-4=3x- 3+c

y=3x-3+4+c

y=3x+1+c

Since Line passes through point Q(2,7) it satisfies the equation.

now putting the values of point Q in the equation to get the constant:

y=3x+1+c

(7)=3(2)+1+c

7=6+1+c

7=7+c

7-7=c

c=0

Thus, the constant is 0.

Thus, the equation of the straight line passing through the point (1,4) and (2,7) is: y=3x+1

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Michelle will pay $154.97 if she cooks dinner for her babysitter three times this month using the family package and still purchases her classic meal package.

A cost function is a mathematical formula that shows how production costs change at different output levels. In other words, it calculates the total cost of production based on the quantity produced. The cost function can be used to calculate the average cost, which is the amount of money it costs to produce one unit on average.

The average cost function is A(x)=C(x)x A (x) = C (x) x A (x) = C (x) x, where x>0. The average cost per unit is calculated by dividing the total cost by the number of units produced.

Given,

Monthly cost of $125 per month for their classic meals

and one family meal costs $9.99

if Michelle cooks dinner for her babysitter three times this month using the family package, the the cost of 3 family meal cost will be

3 × $9.99 = $29.97 and still purchases her classic meal package

Hence, the total pay will be $125 + $29.97 = $154.97

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40 bags of 24 nails in the box

Answer:

Step-by-step explanation:

you divide 960 by 24 and you will have 40 so you will have 40 nails. :0

Since 1 g is equal to 1000 mg, multiply 0.75 g by 1000 mg / 1 g to convert the given value to mg.

Since one tablet is 500 mg, multiply the obtained product by 1 tablet / 500 mg.

Thus, there must be 1.5 or 1 1/2 tablet.

α =46º

1) Let's start by gathering the data:

S = 15 u²

a= 5.5

b= 7.5

Sketcing out:

2) One of the formulas to find out the area of a triangle is:

Plugging the given data into the formula we have:

2.2) Since we want to know the measure of that angle, then let's make use of the arcsine of (0.72)

3) Hence, the missing acute angle is α =46º (rounded off to nearest whole number)

Answer:

B

Step-by-step explanation:

Given the following equation of a line:

We will write the equation in the slope-intercept form: y = m x + b

Now, we will find the equation of the line that is perpendicular to the given line.

Note: if the slope of the given line = m

So, the slope of the perpendicular line = -1/m

From the given line: slope = m = -1/5

So, the slope of the perpendicular line = -1/m = 5

The required line passes through the point (-1/3, -9)

We will use the point-slope form to write the equation of the required line:

Simplify the equation to be like the standard equation:

So, the answer will be:

3y - 15x = -22

3x + 2y - 2z = 17

when x = 5, y = 2, and z = 1

Given

3x + 2y - 2z

For x = 5, y = 2 and z = 1, we have:

3(5) + 2(2) - 2(1)

= 15 + 4 - 2

= 17

As given by the question

There is given that the function

Now,

First find the value of f(0):

Then, put the value of 0 for x into the given function.

Now,

Then,

Then,

Then,

And,