Given: x - 6.3333 ≤ 1.5 .

Answers

Answer 1

Answer:

\(x<=47/6\) or \((-\infty, 47/6]\)

Step-by-step explanation:

Note that \(6.3333 = 6 1/3 = 19/3 = 38/6\).

Also, note that \(1.5 = 1 1/2 = 3/2 = 9/6\).

So, the inequality is really equal to \(x-38/6<=9/6\).

We can then add \(38/6\) to both sides to get \(x<=47/6\).

So, the solution is \(x<=47/6\), or in interval notation, \((-\infty, 47/6]\)


Related Questions

Find the point in the first quadrant where the line y = 3x intersects a circle of radius 2 centered at the origin.

Answers

We will have the following:

First, we write the both equations: the line and the circle:

\(\begin{gathered} y=3x \\ \\ and \\ \\ x^2+y^2=4 \end{gathered}\)

This can be seeing as follows:

Now, we determine the point where the line intersects the circle in the first quadrant, so first, we determine the positive part of the circle, that is:

\(\begin{gathered} x^2+y^2=4\Rightarrow y^2=-x^2+4 \\ \\ \Rightarrow y=\sqrt{-x^2+4} \end{gathered}\)

Now, we equal this expression and the line:

\(\begin{gathered} 3x=\sqrt{-x^2+4}\Rightarrow(3x)^2=(\sqrt{-x^2+4})^2 \\ \\ \Rightarrow9x^2=-x^2+4\Rightarrow10x^2-4=0 \\ \\ \Rightarrow5x^2=2\Rightarrow x^2=\frac{2}{5} \\ \\ \Rightarrow x=\pm\sqrt{\frac{2}{5}} \\ \end{gathered}\)

From this, we take the positive value, since it the only one that makes sense under the parameters required, now we find the value of y:

\(y=3(\sqrt{\frac{2}{5}})\Rightarrow y=\frac{3\sqrt{10}}{5}\)

So, the solution is at the point:

\((\sqrt{\frac{2}{5}}\frac{}{},\frac{3\sqrt{10}}{5})\)

This can be seeing as follows:

Find the point in the first quadrant where the line y = 3x intersects a circle of radius 2 centered at
Find the point in the first quadrant where the line y = 3x intersects a circle of radius 2 centered at

PLEASE HELP DUE RIGHT NOW!!!

PLEASE HELP DUE RIGHT NOW!!!

Answers

Answer:

linear

Step-by-step explanation:

....................help

....................help

Answers

Answer:

A

Step-by-step explanation:

With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.

Find the difference. 35 - (-8)​

Answers

Answer:

43.

Step-by-step explanation:

2 negatives make a positive so:

35 - (-8) = 35 + 8 = 43

the answer is 43


-8 + 43 = 35

Write the equation 22x - 2y = -18 in slope-intercept form (y=mx+b).

Answers

Answer:

y= 11x -5

Step-by-step explanation:

2. Ms. Groves has trays of paints for students in her
art class. Each tray has 5 colors. One of the colors
is purple. What fraction of the colors in 20 trays is
purple?




Answers

Answer:

\(Fraction = \frac{1}{5}\)

Step-by-step explanation:

Given

\(Trays = 20\)

\(Each\ Tray = 5\ colors\)

\(Each\ set = 1\ Purple\)

Required

Fraction of purple in 20 trays

If there are 20 trays, then the total colors is:

\(Colors= 20 * 5\)

\(Colors= 100\)

This also means that, there are 20 purple colors in the set (i.e. 20 trays * 1 purple)

So, the fraction of purple color is:

\(Fraction = \frac{Purple}{Total}\)

\(Fraction = \frac{20}{100}\)

\(Fraction = \frac{1}{5}\)

Find the value of x.

Find the value of x.

Answers

Answer:

  x = 10

Step-by-step explanation:

You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.

Angle bisector

The angle bisector divides the sides of the triangle proportionally;

  3x/40 = (x +2)/16

  6x = 5x +10 . . . . . . . multiply by 80

  x = 10 . . . . . . . . . subtract 5x

The value of x is 10.

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Can anyone help?!! Thank you..

Can anyone help?!! Thank you..

Answers

he drove 32 miles i think

Answer:

1. 32

Step-by-step explanation:

1.60/15 = 4

4x8 = 32

Can anyone help me solve this or atleast give me the answers

Can anyone help me solve this or atleast give me the answers
Can anyone help me solve this or atleast give me the answers
Can anyone help me solve this or atleast give me the answers

Answers

The measure of the angles formed between parallel lines and their transversals indicates;

(c)(e)(a)(d)(b)(f)(e)(a)m∠MNP = 56°m∠WXZ = 130°

9. m∠3 = 97°, m∠5 = 97°, m∠10 = 97°, m∠7 = 83°

What are parallel lines?

Parallel lines are lines that  maintain the are equidistant from each other and have the same slope on the coordinate plane.

The angles formed between the parallel lines and their transversal are;

1. Alternate exterior angles; (c) ∠9 and ∠16
2. Supplementary angles (e);  ∠15 & ∠11

3. Alternate interior angles (a); ∠10 & ∠15

4. Vertical angles (d); ∠12 & ∠15

5. Corresponding angles (b); ∠9 & ∠11

6. None (f); ∠9 & ∠15

7. Supplementary angles (e); ∠13 & ∠14

8. Alternate interior angles; ∠14 & ∠11

9. The alternate interior angles theorem indicates that we get;

(a + 28) = 2·a

Therefore; 2·a - a = 28

2·a - a = a, therefore;

a = 28

∠MNP = (a + 28)° = (28 + 28)° = 56°

10. The alternate interior angles theorem indicates that we get;

5·y° = (2·y + 78)°

Therefore;

5·y - 2·y = 78

3·y = 78

y = 78/3 = 26

The measure of the angle WXZ, m∠WXZ = 5·y°

Therefore; m∠WXZ = 5 × 26 = 130

m∠WXZ = 130°

9. ∠2 ≅ ∠3 (Vertical angles theorem)

m∠2 = m∠3

Therefore; m∠3 = m∠2 = 97°

m∠5 + m∠6 = 180° (Linear pair angles theorem)

m∠5 + 83° = 180°

m∠5 = 180° - 83° = 97°

∠10 and ∠2 are corresponding angles, therefore;

m∠10 = m∠2 = 97°

∠7 and ∠6 are vertical angles, therefore;

m∠7 = m∠6 = 83°

∠9 and ∠3 are same side interior angles, therefore;

m∠9 + m∠3 = 180°

m∠9 = 180° - m∠3

m∠9 = 180° - 97° = 83°
∠8 and ∠6 are linear pair angles, therefore; m∠8 = 180° - 83° = 97°

∠16 and ∠6 are same side exterior angles, therefore;

m∠16 + m∠6 = 180°

m∠16 = 180° - 83° = 97°

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Find the missing side round to the nearest 10th please help

Find the missing side round to the nearest 10th please help
Find the missing side round to the nearest 10th please help

Answers

Step-by-step explanation:

Number 3

cos∅ = adj/hyp

cos35° = 20/x

x = 20/cos35°

x = 20/0.8192

x = 24.4155

x ≈ 24.4 to the nearest tenth

Option C

Number 6

tan∅ = opp/adj

tan37° = 20/x

x = 20/tan37°

x = 20/0.7536

x = 26.5409

x ≈ 26.5 to the nearest tenth

Option B

GIVING BRAINLIEST!
PLEASE HELP!

GIVING BRAINLIEST!PLEASE HELP!

Answers

Answer:

x < 2 is the answer oh and do the 3rd line option

GIVING BRAINLIEST!PLEASE HELP!

17.
What is the value of the expression
2a + 5b + 3c for a = 12, b = 6, and
C=3?
A 10
B 21
C49
D 63

Answers

D. 63

2a+5b+3c

2(12)+5(6)+3(3)

24+30+9=63

Hope this helps! :)

a) What is the value of the 4 in the number 546210?
Give your answer in words.

Answers

The place value of 4 in 546210 is 40,000.

In mathematics, place value refers to the relative importance of each digit in a number. These positions begin at the unit's (or first person's) location. Ones/units, tens, hundreds, thousands, ten thousand, and so on are used to describe the order of place values of digits in a number from right to left.

For instance, 5 in 2358 has a place value of 5 tens, or 50. The place value of 5 in 5671 is, nevertheless, written as 5,000 or 5,000,000. Understanding that a digit can have the same value regardless of where it appears in the number is crucial.

In the question, we are asked to find the place value of 4 in 546210.

In the number 546210, the digit 4 is at the ten thousand place.

Thus, the value of 4 in 546210 can be shown as 4 * 10,000 = 40,000.

Thus, the place value of 4 in 546210 is 40,000.

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answer the question ready fast right now​

answer the question ready fast right now

Answers

Answer:

<eba and <hbi are congruent angles

Step-by-step explanation:

They are vertical angles, therefore congruent

Solve for r.

2.5(r − 4.4) + –3.54 = 6.46

Answers

Answer and Step-by-step explanation:

To solve for r,

You must take all the values away from r to the other side of the equal sign.  We do this using our operations: Addition, Subtraction, Multiplication, and Division.

First, we see that -3.54 isn't connected to r directly, so we can add that to both sides of the equation to get rid of -3.54 on the left side of the equation.

2.5(r - 4.4) + -3.54 + 3.54 = 6.46 + 3.54

2.5(r - 4.4) = 10

Next, we see that 2.5 is multiplying the expression (r - 4.4). We would need to divide both sides of the equation by 2.5.

\(\frac{2.5(r - 4.4)}{2.5} =\frac{10}{2.5}\)

r - 4.4 = 4


Finally, we must add 4.4 from both sides to get r by itself.

r - 4.4 + 4.4 = 4 + 4.4

r = 8.4

The answer is 8.4

I hope this helps!
#teamtrees #PAW (Plant And Water)

How many meters are in 214 cm

Answers

There are 100 cm in a m so there is 2.14 meters in 214 cm

A stock lost 8 1/4 points on Monday and then another 2 3/4 points on Tuesday. On Wednesday, it gained 12 points.
What was the net gain or loss of the stock for these three days?

Answers

The net gain of the stock for these three days is 1 points

Net gain

Monday = - 8 1/4 pointsTuesday = -2 3/4 pointsWednesday = 12 points

Net gain / net loss = Monday + Tuesday + Wednesday

= - 8 1/4 + (-2 3/4) + 12

= - 8 1/4 - 2 3/4 + 12

= -11 + 12

Net gain = 1 point

Therefore, the net gain of the stock for these three days is 1 points

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In the similar triangles below , what is the measure of D

In the similar triangles below , what is the measure of D

Answers

In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.

In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.

This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.

To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.

We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.

So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.

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For Christmas, the cost of party planners increased by 15%. If a party planner is booked for $575, what was its cost before Christmas

Answers

The original cost of the party planner before the 15% increase was $500.

If the cost of a party planner increased by 15% from its original cost, the cost after the increase would be 100% + 15% = 115% of the original cost.

What is an equation ?

In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. Equations are often written in the form of "expression = expression" or "expression - expression = 0"

Let X be the original cost of the party planner. Then, we can set up the following equation:

X + 0.15X = $575

Simplifying this equation, we get:

1.15X = $575

Dividing both sides by 1.15, we get:

X = $500

Therefore, the original cost of the party planner before the 15% increase was $500.

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37 students shared 5 pizzas equally? What fraction of the pizza did each student receive?

Answers

Answer:

Each student received 40/37 of a pizza slice.

Step-by-step explanation:

To find the fraction of the pizza each student received, we can start by finding the total number of pizza slices. Since each pizza was shared equally among 37 students, we can multiply the number of pizzas (5) by the number of slices in each pizza to get the total number of slices:

Total number of slices = 5 pizzas x 8 slices per pizza = 40 slices

Next, we can divide the total number of slices by the number of students to get the number of slices each student received:

Number of slices per student = 40 slices ÷ 37 students

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 1:

Number of slices per student = 40/37 slices

Therefore, each student received 40/37 of a pizza slice.

Hope this helps! I'm sorry if it doesn't. If you need more help, ask me! :]

To find the fraction of the pizza each student received, we need to divide the total number of pizzas by the total number of students:

5 pizzas ÷ 37 students = 5/37 pizzas per student

Therefore, each student received 5/37 of a pizza.

Jenna picked a pumpkin at the pumpkin patch that weighed 8 and 1 half pounds, Her little sister, sandy, picked a pumpkin that weighed one half of that amount, how much did sandys pumpkin weigh

Answers

Answer:

4 pounds and 1/4 ounces

Step-by-step explanation:

8 and 1 half pounds = 8.5 Ibs

One half of 8.5 = 8.5/2 = 4. 25 Ibs or 4 & 1/4  or 4Ibs 4 ounces.

(53 +9r²s) (12rs²-g³) + (-7r²s +7rs²)

Answers

Answer:

(negatively proximity is (31 + 1r¼)car bite

Step-by-step explanation:

Hope it helps

Can someone help me with this problem?

Can someone help me with this problem?

Answers

Answer:

Lin

Step-by-step explanation:

5/7*2/2=10/14

3/2*7/7=21/14

10/14+21/14=31/14

Answer:

Lin

Step-by-step explanation:

You should give the other person brainliest

where is y=-4/5x-1 located on the coordinate plane?

Answers

-4 left

+5 up - 1

Your welcome!

solve the system of two linear inequalities graphically.
y≤−5x−10
y>x+2

Answers

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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solve the system of two linear inequalities graphically.y5x10y&gt;x+2


Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?

Answers

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

Anybody know the Explicit definition?

Answers

Answer:

of??

what word- you posted nothing

Find m
I don’t get it

Find mI dont get it

Answers

(8x-12)° + (3x + 5)° =180°11x -7=18011x =180+711x = 187x = 187÷ 11x =17m < r = m < p =(3x + 5)° = ( 3×17+5)° = (56)°

The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature finding to be 91.8 F. The body is taken to the morgue and at 12:30 pm the body temperature is 84.4 F. Using an exponential model for the body temperature, to the nearest minute, what time was he killed. Normal body temperature is 98.6.

Answers

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = \(a(e)^{nt}\)

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = \(98.6(e)^{nt}\) --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = \(91.8(e)^{n\times 1}\)

eⁿ = \(\frac{84.4}{91.8}\)

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = \(98.6(e)^{-0.08403t}\)

\((e)^{0.08403t}=\frac{98.6}{91.8}\)

\(ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]\)

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

                          = 10:90 - 00:51

                          = 10:39 am

A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/3 cm. The prism is filled with cubes that have Edge lengths of 1/2 cm How many cubes are needed to fill the rectangular prism? Rounded to nearest whole number

Answers

Given the length (l), the width (w), and the height of the rectangular prism:

\(\begin{gathered} l=7\operatorname{cm} \\ w=4\operatorname{cm} \\ \\ h=2\frac{1}{3}cm \end{gathered}\)

You can convert the height from Mixed Number to an Improper Fraction by multiplying the whole number part by the denominator and adding the result to the numerator. The denominator does not change:

\(2\frac{1}{3}=\frac{(2\cdot3)+1}{3}=\frac{6+1}{3}=\frac{7}{3}\)

You need to use the following formula in order to calculate the volume of the rectangular prism:

\(V_r=l\cdot w\cdot h\)

Where "l" is the length, "w" is the width, and "h" is the height.

Substituting values and evaluating, you get:

\(V_r=(7cm)(4cm)(\frac{7}{3}cm)=\frac{196}{3}cm^3\)

Now you need to find the volume of a cube using this formula:

\(V_c=a^3\)

Where "a" is the length of one edge.

In this case:

\(a=\frac{1}{2}cm\)

Therefore:

\(V_c=(\frac{1}{2}cm)^3=\frac{1}{8}cm^2\)

Let be "x" the number of cubes needed to fill the rectangular prism. Notice that:

\(x=\frac{V_r}{V_c}\)

Then:

\(x=\frac{\frac{196}{3}}{\frac{1}{8}}=\frac{196\cdot8}{3\cdot1}=\frac{1568}{3}\approx523\)

Hence, the answer is:

\(523\text{ }cubes\)

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