Solve the inequality.

3/4x−2/3≤5/6


and then graphed on a number line

Answers

Answer 1

Answer:

x ≤ 2

Step-by-step explanation:

3/4x−2/3≤5/6

Multiply each side by 12 to get rid of the fractions

12(3/4x−2/3)≤5/6*12

9x - 8 ≤ 10

Add 8 to each side

9x -8+8 ≤ 10+8

9x ≤ 18

Divide each side by 9

9x/9 ≤ 18/9

x ≤ 2

Solve The Inequality.3/4x2/35/6and Then Graphed On A Number Line
Answer 2

Answer:

x ≤ 2

Step-by-step explanation:

¾x - ⅔ ≤ ⅚

¾x ≤ ⅚ + ⅔

¾x ≤ [5 + 2(2)]/6

¾x ≤ 9/6

x ≤ 9/6 × 4/3

x ≤ 2

Number line going towards left from 2 with a closed circle at 2


Related Questions

What is the graph of 3x + 5y = –15? A coordinate plane with a line passing through (negative 5, 0) and (3, 0). A coordinate plane with a line passing through (0, 3) and (5, 0). A coordinate plane with a line passing through (negative 5, 0) and (0, 3). A coordinate plane with a line passing through (0, negative 3) and (5, 0).

Answers

Answer:

its A

Step-by-step explanation:

i got it right

Answer:A

Step-by-step explanation:

Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression?
4.8 is now multiplied by 90 and 10.
4.8 is now added to 10 before adding 90.
4.8 is now added after finding the sum of 90 and 10.
4.8 is now added to both 90 and 10.

Answers

Answer:

Answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did it

Find the volume of the prism.

Answers

Answer:

168 units^3

Step-by-step explanation:

The volume of triangular prism is calculated like this : 1/2 × b×h×l (b: base, h: height, l: length)

1/2 × 7 × 6 × 8 = 168 units^3

Solve for x if cos(2x+60)=-1

Answers

Answer:

x = 60°

Step-by-step explanation:

[tex] \cos \: (2x + 60) = - 1 \\ \cos \: (2x + 60) = \cos \: 180 \degree \\ 2x + 60 = 180 \degree \\ 2x = 180 \degree - 60 \degree \\ 2x = 120 \\ x = \frac{120}{2} \\ \huge \red{ \boxed{ x = 60 \degree}}[/tex]

If r is an integer greater than 1, what is the value of (−1)r +1 if:
a) r is an odd integer
b) r is an even integer

I NEED THE ANSWER IN 30 MINS FOR SCHOOL! HELP!!!!!!!!!!!!!!!!!!!!!

Thanks in advance

Answers

Answer:

a is 0, b is 2

Step-by-step explanation:

Ik its late, but it was pretty ez. Just plug in dem numbers.

a. In the case when r is an odd integer so it should be zero.

b. In the case when r is an even integer so it should be two.

Calculation of the value:

a.. In the case when r is an odd integer

So,

[tex]= (-1)^r + 1[/tex]

= -1 + 1

= 0

b. In the case when r is an even integer

So,

= 1 + 1

= 2

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A certain television is advertised as a 10-inch TV (the diagonal length). If the width of the TV is 6 inches, how many inches tall is the TV?

Answers

Answer:

8 inches

Step-by-step explanation:

Using Pythagorean theorem you know a^2+b^2=c^2

a^2+b^2=c^2 =

6^2+b^2=10^2=

36+b^2=100

100-36=b^2

64=b^2

64=8^2

The Tv is 8 inches tall

Using the diagram below, calculate the length of BO.

25 in

4 in

7 in

5 in

Answers

Answer:

the answer is 5 inches

Step-by-step explanation:

so for this problem I used the pythagorean theorem which is a^2 + b^2 = c^2.

Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x and the width is 2 x^2 − 99x + 6 where the measurements are in feet. If the length of the enclosed yard is 50 feet and the cost of fencing is $13 per foot, how much will Janice need to spend on fencing? Janice will need to spend $ on fencing.

Answers

Final Answer:

Janice will need to spend $2756.00 on fencing.

Explanation:

Set up the equation for the width:

Width = 2x^2 - 99x + 6 (given in the problem)

Substitute the known length (50 feet) into the equation:

50 = 2x^2 - 99x + 6

Solve the quadratic equation for x (length of the wider side):

This equation can be solved using various methods like factoring, quadratic formula, or online calculators. For example, using an online calculator, we find two solutions: x ≈ 1.59 or x ≈ 49.41.

Since the length cannot be a fraction of a foot, choose the larger solution:

x ≈ 49.41 feet

Calculate the total perimeter of the enclosed area:

Perimeter = 2 (length + width) = 2 (50 feet + 49.41 feet) ≈ 198.82 feet

Find the total cost of fencing:

Total cost = Perimeter * Cost per foot = 198.82 feet * $13/foot ≈ $2756.00

Therefore, Janice needs to spend $2756.00 on fencing to enclose the specified portion of her yard.

Lliana rotated trapezoid WXYZ 180 about the origin

Answers

Answer: it’s A

Step-by-step explanation:

I took the edge test

A translation is shown on the grid below. On a coordinate plane, triangle A B C has points (negative 4, 2), (negative 4, negative 2), (negative 1, negative 2). Triangle A prime B prime C prime has points (1, 5), (1, 1), (4, 1). Which are true statements about the translation? The sides of the image and pre-image are congruent. The image is turned 90°. The angles in the image are different from the angles in the pre-image. The image is a slide of the pre-image. The image has a different shape than the pre-image. Each point has moved in a different direction. Each point has moved the same number of units.

Answers

Answer:

  a, d, g

Step-by-step explanation:

Translation is one of the "rigid motions," along with reflection and rotation. Figures subject to rigid motions are congruent. No angles or segment lengths are changed. Translation is accomplished by adding the same vertical and horizontal offsets to every point of the original figure, effectively sliding the figure to a new location. Every image line segment is parallel to its corresponding pre-image line segment.

__

The statements shown in bold are true of any translation.

The sides of the image and pre-image are congruent. The image is turned 90°. The angles in the image are different from the angles in the pre-image. The image is a slide of the pre-image. The image has a different shape than the pre-image. Each point has moved in a different direction. Each point has moved the same number of units.

Answer:

1,4,7

Step-by-step explanation:

1.) The sides of the image and pre-image are congruent.

4.) The image is a slide of the pre-image.

7.) Each point has moved the same number of units.

got 100

Select the statement that describes this expression: 1/2 x (734 − 246).

Answers

Answer:

The value of given expression is 244.

Step-by-step explanation:

The given expression is [tex]\dfrac{1}{2}\times (734 - 246)[/tex].

We need to simply the above expression.

First of all, we will subtract 246 from 734. By doing so, we get 488.

Now, we can divide 488 by 2.

As a result we get 244.

So, the value of given expression is 244.

The required statement is "[tex]\dfrac{1}{2}[/tex] the difference between 734 and 246".

Important information:

The given expression is [tex]\dfrac{1}{2}\times (734-246)[/tex].Phrase for Expression:

(734-246) is the difference between 734 and 246.

[tex]\dfrac{1}{2}\times (734-246)[/tex] is [tex]\dfrac{1}{2}[/tex] the difference between 734 and 246.

Therefore, the required statement is "[tex]\dfrac{1}{2}[/tex] the difference between 734 and 246".

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Find the 88th term of the arithmetic sequence 26, 28, 30,...

Answers

Answer:

200

Step-by-step explanation:

Given Arithmetic sequence is: 26, 28, 30,...

First term a = 26

Common Difference d = 2

n = 88

[tex] \because t_n=a +(n-1) d \\ \therefore \: t_{88}=26 +(88-1) \times 2 \\ \therefore \: t_{88}=26 +87 \times 2 \\ \therefore \: t_{88}=26 +174 \\ \huge \red{ \boxed{ \therefore \: t_{88}=200}} \\ [/tex]

Final answer:

The 88th term of the arithmetic sequence 26, 28, 30,... is 200.

Explanation:

The given sequence is an arithmetic sequence, where each term is obtained by adding 2 to the previous term. The first term of the sequence is 26, and the common difference is 2.

To find the 88th term of the sequence, we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.

Plugging in the given values: an = 26 + (88 - 1)2 = 26 + 87*2 = 26 + 174 = 200.

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A diver descends 2 feet per minute. How deep below sea level is it after 40 minutes? (shows the process).

Answers

80ft bc you would do 40x2

Answer:

80 feet below sea level

Step-by-step explanation:

We know that the rate of the diver is 2 ft / min. The time we are given is 40 minutes, so to find out how many feet the diver has descended, we multiply the rate by the time:

(2 ft / min) * (40 min) = 80 ft

Thus, the diver is 80 feet below sea level after 40 minutes.

Hope this helps!

Which set of measurements could be the side lengths of a right triangle?
A: 10cm, 12cm, 16cm.
B: 20cm, 21cm, 29cm.
C: 30cm, 32cm, 42cm.
D: 40cm, 42cm, 56cm.
I need help and NOW

Answers

Answer:

a

Step-by-step explanation:


Simplify: (4d + 7e – 3f) + (5d – 2e +9f)

Answers

Answer:

9d+5e+6f

Step-by-step explanation:

(4d + 7e – 3f) + (5d – 2e +9f)

4d+5d+7e-2e-3f+9f

9d+5e+6f

Answer:

9d+5e+6f

Step-by-step explanation:

(happy to help)

Write the equation for a parabola with a focus at (2, 2) and a directrix at x = 8.

Answers

Answer:

 x = -1/12(y -2)² +5

Step-by-step explanation:

You want the equation of the parabola with focus (2, 2) and directrix x = 8.

Vertex

The directrix is a vertical line to the right of the focus. This means the parabola opens to the left. The vertex is halfway between the focus and the directrix, so its coordinates are ...

  vertex = ((2 +8)/2, 2) = (5, 2)

Leading coefficient

The leading coefficient will be negative for a parabola that opens to the left. Its magnitude is 1/(4p), where p is the distance from the focus to the vertex. Here, that distance is 5 -2 = 3, so the leading coefficient is ...

  -1/(4p) = -1/(4·3) = -1/12

Equation

In vertex form, the equation of the parabola is ...

  x = a(y -k)² +h . . . . . . . . . . . vertex (h, k); leading coefficient 'a'

  x = -1/12(y -2)² +5

The equation of the parabola is [tex]\( (x-5)^2 = 12y \), with focus (2, 2) and directrix \(x = 8\).[/tex]

The standard equation for a parabola with a vertical axis of symmetry is:

[tex]\[ (x-h)^2 = 4p(y-k) \][/tex]

where (h, k) is the vertex of the parabola and p is the distance between the vertex and the focus (or the vertex and the directrix).

Given that the focus is at (2, 2) and the directrix is at x = 8, we can find the distance between the focus and the vertex, which is p. Since the directrix is a vertical line, the vertex's x-coordinate is the midpoint between the x-coordinate of the focus and the x-coordinate of the directrix:

[tex]\[ h = \frac{{x_f + x_d}}{2} = \frac{{2 + 8}}{2} = 5 \][/tex]

So, the vertex is at (5, k). Since the focus is above the vertex, k > 2.

Now, we find the distance between the focus and the vertex, which is equal to p. The distance formula is:

[tex]\[ p = \sqrt{(x_f - h)^2 + (y_f - k)^2} \]\[ p = \sqrt{(2 - 5)^2 + (2 - k)^2} \]\[ p = \sqrt{9 + (2 - k)^2} \][/tex]

Given that p is the distance from the focus to the vertex, we know that [tex]\(p = 3\).[/tex]

So, the equation of the parabola is:

[tex]\[ (x-5)^2 = 12(y-k) \][/tex]

Now, we need to find the value of k. Since the vertex lies on the parabola, we can substitute the coordinates of the vertex into the equation:

[tex]\[ (5-5)^2 = 12(0-k) \]\[ 0 = -12k \]\[ k = 0 \][/tex]

So, the equation of the parabola is:

[tex]\[ (x-5)^2 = 12y \][/tex]

The difference between a number squared and 14 is 50. Can you just write out as equation pls

Answers

Answer:

x^(2)-14=50

Step-by-step explanation:

Final answer:

The word problem 'The difference between a number squared and 14 is 50' translates to the quadratic equation x^2 - 14 = 50 in mathematical terms.

Explanation:

To form an equation, let's denote the unknown number as x. The phrase 'a number squared' can be written as x2, and 'the difference between a number squared and 14' translates to x2 - 14. According to the problem, this difference equals 50. Therefore, the equation representing this situation is:



[tex]x^2 - 14 = 50[/tex]



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Rayna found the curve of best fit for a set of data that represents an exponential relationship. The correlation coefficient for her curve of best fit is r= 0.274

The first is growth or decay. The second is is or is not. Which one is correct?

Answers

Answer:

The data set shows exponential GROWTH

raynas curve IS NOT a good fit for the data set

Step-by-step explanation:

Believe

Final answer:

With a correlation coefficient of r = 0.274, Rayna's exponential model is not a strong fit, and without the sign of the rate parameter, we cannot determine whether it represents growth or decay.

Explanation:

When Rayna found the curve of best fit for a set of data representing an exponential relationship with a correlation coefficient of r = 0.274, two aspects can be deduced. First, whether the relationship reflects growth or decay, and second whether the model fits well or not. The value of r indicates the strength and direction of the linear relationship between two variables.

In the context of exponential relationships, if the parameter representing the rate of change (often denoted by 'b') is positive, it indicates exponential growth; if the parameter is negative, it signifies exponential decay. Since we do not have the explicit sign of the parameter, we cannot directly conclude whether Rayna's data is demonstrating growth or decay.

The value of the correlation coefficient r = 0.274 is relatively low and thus, Rayna's exponential model is not a strong fit for the data. This is because the value of r is far from 1, and a higher correlation coefficient would suggest a stronger linear relationship between variables.

If x2 + nx + 18 = (x + 9)(x + 2), what is the value of n?

Answers

Foil the right side. Multiply first, outer, inter, and the last terms. The right side is equal to x^2 + 11x + 18x. N is 11.

Annita is sewing a lace edge around a rectangular quilt She will need 144 inches of lace to do the entire quilt if the quilt is 37
inches wide, how long is the quilt?
OA. 70 inches
OB. 35 inches
c. 33 inches
OD. 72 inches​

Answers

Answer:

B

Step-by-step explanation:

So if she sews along the edge, that means 144 is the perimeter,

The shape is a rectangle, therefore 2 of the sides are 37,

You should add 37 to 37 and that will give you 74

Subtract 74 from 144 to get 70

but we're not done!

The question asked for the length of the quilt, but we only subtracted the length from the total perimeter!

Now you must divide by 2 and you should get 35 inches

Thank me later :)

James is a welder who earns $18 per hour. He works 8 hours per day, Monday through Friday. How much does James earn in one week?

Answers

Answer:

720 Dollars a Week

Step-by-step explanation:

18x8x5

since he makes 18 dollars an hour you multi that by 8 because 8 hours

then you have to multiply that by 5 because he works 5 days a week mon-fri

720 8 times 18 times 4

Hey i need help um pls ill give the crown
um im bad at math so

Rob says that this graph shows a proportional relationship. Is he correct? Explain.

Answers

Answer:

no, both lines increase at different angles

Answer:

No

Step-by-step explanation:

Because both of these functions have a constant, different growth, as one grows the other will grow at a slightly different rate, which will constantly change the ratio between their values. Since a proportional growth is one where the ratio between the values stays constant and this is not the case here, this is not a proportional relationship. Hope this helps!

round 39.473 to the nearest tenth.

I need help fast please

Answers

Answer:

39.5

Step-by-step explanation:

If the number to the right of the number your rounding to is equal to or greater than 5 round up

Answer:

39.5

Step-by-step explanation:

Step 1:  Round to the nearest tenth

39.473

Since the hundredths place is greater or equal to 5, we round up the tenth's place.

39.473

39.5

Answer:  39.5

Two cars are 400 miles apart when they start moving towards each other. The speed of the first car is 30 mph. The the second car moves 20 mph faster than the first car. After how many hours will the cars meet?

Answers

Answer:

The number of hours it will take before both cars meet is 5 hours

Step-by-step explanation:

Here we have, speed of first car, A = 30 mph

Speed of second car, B = (30 + 20) mph = 50 mph

Therefore, we have

Let the point where both cars meet be X and the time before they meet be Y

Then for car A, 30 × Y = X....................(1)

For car B, 50 × Y = 400 - X..................(2)

From plugging the value of X from equation (1) into equation (2) we have;

50·Y = 400 - 30·Y

80·Y = 400

Y = 5 hours

Therefore the number of hours it will take before both cars meet = 5 hours.

Answer

t = 5 hrs

Step-by-step explanation:

let

speed of the first car = 30 mph

speed of the second car = 20 mph + 30 mph = 50 mph

When the cars meet we know both cars will have traveled a total distance of  400 miles.

Therefore,

let's make a distance equation

speed = distance/time

distance = speed × time

first car + second car = 400 miles

30t + 50t = 400

80t = 400

divide both sides b 80

t = 400/80

t = 5 hrs

Which answer shows 0.05 written in scientific notation?
0.5x 10-1
5x10-2
5x10-
5x102

Answers

0.05 written in scientific notation is 5 * 10^-2

How to express as scientific notation?

The number is given as:

Number = 0.05

Multiply by 1

Number = 0.05 * 1

Express 1 as 100/100

Number = 0.05 * 100/100

Evaluate the product

Number = 5 * 1/100

Express 1/100 as an exponent

Number = 5 * 10^-2

Hence, 0.05 written in scientific notation is 5 * 10^-2

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The correct scientific notation for the decimal 0.05 is 5 x 10^-2, which is the option that correctly shows this number in scientific notation.

The question asks for the correct scientific notation of the decimal 0.05. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It's a way of scaling down or up numbers to make them easier to work with, especially when dealing with very large or very small values.

To write 0.05 in scientific notation, we identify a number between 1 and 10 followed by a power of 10 that will put the decimal in the correct place. We see that 0.05 is the same as 5 moved two decimal places to the left. Therefore, in scientific notation, we write this as 5 x 10-2.

The option showing 0.05 written correctly in scientific notation is 5 x 10-2.

Part B
What is the number of whole loaves of each type of bread Hayley should make in order to havo the best
amount of the 15 cups of flour and 9 eggs left over?
Loaves of zucchini bread:?
Loaves of banana bread:?​

Answers

Answer:

Loaves of zucchini bread = 3

Loaves of banana bread = 3

Completed question;

What is the number of whole loaves of each type of bread Hayley should make in order to havo the best

amount of the 15 cups of flour and 9 eggs left over?

Given that;

Each Banana bread requires 3 cups of flour and 1 egg

And Each zucchini bread requires 2 cups of flour and 2 eggs.

Loaves of zucchini bread:?

Loaves of banana bread:?​

Step-by-step explanation:

Representing the problem in equation form;

3b + 2z ≤ 15 .......1

b + 2z ≤ 9 .......2

Where;

b is the number of banana bread to be made and

z is the number of zucchini bread to be made

To solve, subtract equation 2 from 1;

3b-b + 2z-2z ≤ 15-9

2b ≤ 6

b ≤ 6/2

b ≤ 3

Substituting into equation 2

3 + 2z ≤ 9

2z ≤ 9 - 3

2z ≤ 6

z ≤ 6/2

z ≤ 3

Loaves of zucchini bread = 3

Loaves of banana bread = 3

3 whole loaves of each type of bread should be made

Loaves of zucchini bread: 3Loaves of banana bread: 3

How to determine the number of whole loaves of each bread?

Represent the banana bread with x, and the zucchini bread with y.

Using the complete question as a guide, we have the following equations

3x + 2y = 15

x + 2y = 9

Subtract both equations

2x = 6

Divide both sides by 2

x ≤ 3

Recall that:

x + 2y = 9

So, we have:

3 + 2y = 9

Subtract 3 from both sides

2y = 6

Divide both sides by 2

y = 3

So, we have:

x = y = 3

Hence, 3 whole loaves of each type of bread should be made

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Which table represents the recursive formula?
an = a(n-1) + 6

Answers

Final answer:

To identify a table representing the recursive formula an = a(n-1) + 6, one should look for a pattern where each term is 6 greater than the previous one.

Explanation:

The recursive formula an = a(n-1) + 6 is a mathematical way of defining a sequence that is created by adding 6 to the previous term. To find out which table represents this formula, look for a pattern where each term is 6 greater than the one before it. For example, if the first term is 2, the second term should be 2 + 6 = 8, the third term should be 2nd term + 6 = 8 + 6 = 14, and so on. By following this pattern, you can identify the table that accurately represents the recursive formula.

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What is the image of the point (5, -3) after a reflection over the line y = x?
O (3,-5)
O (-5, 3)
O (-3,5)
o (5, 3)

Answers

Answer:

(-3,5)

Step-by-step explanation:

If the slope of y=x is 1, then you have to reflect over that line with a negative slope. It should reflect over to be (-3,5).

Answer:C

Step-by-step explanation:have a nice day!

the difference between Hawaii (12 degree) and south Dakota (-58 degree)​

Answers

Answer:

Hawaii is 80 degrees warmer than Dakota.

Step-by-step explanation:

first you have to make the negative a positive by adding 58 degrees to it making it zero then you add the 12 degrees in Hawaii getting 80 degrees.

PLZ HELP ME HAS SOON HAS POSSIBLE?????

Answers

Answer:

- 7/2

Step-by-step explanation:

- sqrt(49/4)

We know that sqrt(a/b) = sqrt(a)/ sqrt(b)

- sqrt(49)/sqrt(4)

- 7/2

The correct answer is -7/2.
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