Y -2x is less than or equal to -3

if a dental patient is charged 65.97 for teeth cleaning 127.12 for x rays and 94.50 for a dental exam what should his total bill

-Dominant- [34]

This is pretty simple! Just add the cost of each procedure together.
65.97 + 127.12 + 94.50 = $287.59

7 0

3 years ago

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five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and s

love history [14]

The number according to the given statement is x<-0.55.

Given the statement is five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths.

A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Five and three-tenths of a number means 5.3x.

And two and seven-tenths means 2.7.

So, five and three-tenths times a number plus two and seven-tenths means 5.3x+2.7. ......(1)

It is also given that three and three-tenths times a number means is 3.3x.

And one and six-tenths means 1.6.

So, three and three-tenths times a number plus one and six-tenths means 3.3x+1.6 .......(2)

Now, we will substitute equation (1) less than equation (2) according to the given statement is

5.3x+2.7<3.3x+1.6

Further, we will subtract 2.7 from both sides, we get

5.3x+2.7-2.7<3.3x+1.6-2.7

5.3x<3.3x-1.1

Now, we will subtract 3.3x from both sides, we get

5.3x-3.3x<3.3x-1.1-3.3x

2x<-1.1

Now, we will divide both sides by 2, we get

2x/2<-1.1/2

x<-0.55

Hence, the number for the given statement "five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths" is -0.55.

Learn more about the algebraic statement from here brainly.com/question/2689808

#SPJ9

5 0

2 years ago

2400 divided by 300????

Salsk061 [2.6K]

8 is the answer to 2400÷3000

5 0

3 years ago

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Directions: Determine the area of the shaded region of each figure. The polygons in each problem are regular polygons. You must

Marta_Voda [28]

Problem 1

Imagine placing the nonpencil part of your compass at the center of both hexagons. Extend the compass so the pencil reaches the right-most point on the larger hexagon. Then sweep a full 360 degrees to form a circle. This surrounds the larger hexagon to form what is called the circumcircle. The circumradius is 6+6 = 12 feet.

If we know the circumradius r = 12 and the number of sides n = 6, then we can find the area of the larger regular hexagon using this formula

$A = 0.5n*r^2*\sin(360/n)$

Your calculator must be in degree mode. This formula only works for regular polygons.

Let's use that formula to calculate the area of the larger regular hexagon.

$A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*12^2*\sin(360/6)\\\\A \approx 374.122974$

Then do the same for the smaller regular hexagon that has circumradius of r = 6 this time. We still have n = 6 sides.

$A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*6^2*\sin(360/6)\\\\A \approx 93.530744$

Now subtract the areas

374.122974-93.530744 = 280.59223

<h3>The green region has an area of roughly 280.59223 square feet.</h3>

=========================================================

Problem 2

The formula we use here is

$A = 0.25n*s^2*\cot(180/n)$

where

n = number of sides = 5 in this case for both figures
s = side length = will be different values depending on which figure you focus on
"cot" refers to the cotangent function, which is the reciprocal of tangent. Your calculator should support cotangent. If not, then you'd have to do 1/tan of the value of 180/n. In this case, n = 5 so 180/n = 180/5 = 36. So you either calculate cot(36) or 1/tan(36)
Your calculator must be in degree mode.
This formula only works on regular polygons. These are polygons with the same side lengths and same angles.

Let's use that formula to calculate the area of the larger regular pentagon. It has side lengths of s = 8

$A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*8^2*\cot(180/5)\\\\A = 0.25*5*8^2*\cot(36)\\\\A = 0.25*5*8^2*\frac{1}{\tan(36)}\\\\A \approx 110.110554\\\\$

The larger regular pentagon has area of roughly 110.110554 square cm.

Repeat those steps for the smaller pentagon where each side is now s = 6. Keep n = 5 the same.

$A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*6^2*\cot(180/5)\\\\A = 0.25*5*6^2*\cot(36)\\\\A = 0.25*5*6^2*\frac{1}{\tan(36)}\\\\A \approx 61.937186\\\\$

Now subtract the two areas to get the area of the shaded green region.

110.110554 - 61.937186 = 48.173368

<h3>The green region has area of roughly 48.173368 square cm.</h3>

3 0

2 years ago

Using front-end estimation, find a reasonable estimate of:

Citrus2011 [14]

Answer:

21,000

Step-by-step explanation:

front end estimation requires you to take the front / first digit of each number in this expression and round.

if you don't know how to round, basically you take the next digit after the first one, (in 719 you take the 1) and determine if that's below or above 5. If below, then keep the original first number. If above, add one more to the first digit. If the number is five itself, it is most common to round up (so add one).

like 425 would round to just 400; and 676 would round to 700.

multiply 700 and 30

youd get 21000

5 0

3 years ago

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