what is $750x+150<1000

Answers

Answer 1

For this case we must resolve the following inequality:

[tex]750x + 150 <1000[/tex]

Subtracting 150 from both sides of the inequality we have:

[tex]750x <1000-150\\750x <850[/tex]

We divide between 750 on both sides of the equation:

[tex]x <\frac {850} {750}[/tex]

We simplify, dividing by 5 numerator and denominator:

[tex]x <\frac {170} {150}[/tex]

We simplify, dividing by 5 numerator and denominator:

[tex]x <\frac {34} {30}[/tex]

We simplify, dividing by 2 numerator and denominator:

[tex]x <\frac {17} {15}[/tex]

Thus, the solution is given by all values of x less strict than[tex]\frac {17} {15}[/tex]

Answer:

[tex]x <\frac {17} {15}[/tex]


Related Questions

Find the equation in slope - intercept form that describes a line through (2,4) with slope 0

Answers

Answer:

y=4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=0(x-2)

y-4=0

y=0+4

y=4

Hope this helps comment below for more questions :)

The solution of a +b > 12 is a > -3. What is the value of b?

Answers

Step-by-step explanation:

[tex]a + b > 12 \\ [/tex]

but

[tex] \\ a > - 3 \\ [/tex]

if

[tex]a = - 3 \\ then \: \\ a + b > 12 \\ - 3 + b > 12 \\ b > 12 + 3 \\ b > 15[/tex]

Answer:

its -3

Step-by-step explanation:

I candy store sells 100 types of candy. Out of these 100 types, 2/5 contain chocolate. How many contain chocolate?

Answers

Answer:

Step-by-step explanation:

so 2/5 of 100 contain chocolate...

2/5 * 100 = 200/5 = 40 <== contain chocolate

Lana is trying to find an equation for a line that passes through (5, 2) and is parallel to 3x + 2y = 15. Explain the steps that Lana could take to determine the equation. A) Write 3x + 2y = 15 in slope-intercept form. Then, substitute the slope of that line and the point (5, 2) into the point-slope formula. B) Write 3x + 2y = 15 in slope-intercept form. Then, substitute the reciprocal of the slope of that line and the point (5, 2) into the point-slope formula. C) Write 3x + 2y = 15 in slope-intercept form. Then, substitute the opposite reciprocal of the slope of that line and the point (5, 2) into the point-slope formula. D) Write 3x + 2y = 15 in slope-intercept form. Then, substitute the opposite reciprocal of the slope of that line and the point (0, 0) into the point-slope formula.

Answers

Answer:

A

Step-by-step explanation:

3x+2y=15

-3x

2y=15-3x

divide by 2

y=-3/2x+7.5

Parallel Line = Same Slope

y=-3/2x+b

substitute (5,2)

2=-3/2(5)+b

2=-7.5+b

   +7.5

9.5=b

Final Equation: y=-3/2x+9.5

Final answer:

Lana needs to first convert the equation to slope-intercept form, and then use the parallel line's slope with the provided point in the point-slope formula to find her line's equation.

Explanation:

The correct option for Lana to find an equation for a line that passes through the point (5, 2) and is parallel to the given equation 3x + 2y = 15, is option A.

First, Lana needs to write the given equation in slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept. To do this, she needs to rearrange the equation by subtracting 3x from both sides and dividing by 2, which gives y = -1.5x + 7.5.

Parallel lines have the same slope, so the slope, m, of Lana's line is -1.5. Now, she uses the point-slope form of a linear equation which is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through. Substituting the point (5, 2) and slope -1.5 into this equation, Lana gets y - 2 = -1.5x + 7.5.

She rearranges this to get her final equation.

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How do you do this equation: 9|5x+8|=54

Answers

Answer (2 answers):

x = -2/5,  x = -14/5

Step-by-step explanation:

First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.

9|5x+8|=54

|5x+8| = 54/9

|5x+8| = 6

Remember how absolute values turn everything positive? For example

|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.

|5x+8| = 6     and     |-(5x+8)| = 6

now solve the first equation.

(Just remove the absolute value sign and solve it normally)

5x+8 = 6

5x = -2

x = -2/5

Now solve the other equation

-(5x+8) = 6

-5x - 8 = 6

-5x = 14

x = -14/5

Can someone help me with these problems? I'm in k12 and this assignment was in classkick, so if anyone already completed this and can help, please do. I also am going to be asking some more questions, if you can help with those too. Thanks! (Will give brainliest.)

Answers

Answer: Domain = { -3 , 6 , 5 , -6}

Range = { 7 , 2 , -1 , -6 }

Step-by-step explanation:

considering the points given

[tex]x_{1}[/tex] = -3                                [tex]y_{1}[/tex] = 7

[tex]x_{2}[/tex] = 6                                [tex]y_{2}[/tex] = 2

[tex]x_{3}[/tex] = 5                                [tex]y_{3}[/tex] = -1

[tex]x_{4}[/tex] = -9                               [tex]y_{4}[/tex] = -6

This shows that that is relationship between the values of x and the values of y.

All the values of x represent the domain and all the values of y represent the range.

Therefore :

Domain = { -3 , 6 , 5 , -6}

Range = { 7 , 2 , -1 , -6 }

on the fast train Yvonne and Lisette traveled 760 kilometers in 4 hours what was the trains average rate of speed ​

Answers

Answer:

190 km an hour

Step-by-step explanation:

A company's stock was selling at
$16 a share. A month later, it was
selling at $20 a share. What is
the percent increase?
[?]%

Answers

old: $16

new: $20

percent increase

-> formula: (new-old / old) x 100

(20-16 / 16) x 100

4/16 x 100

0.25 x 100

answer: 25% increase

The percentage increase will be "25%".

According to the question,

Old selling price,

$16

New selling price,

$20

We know the formula,

→ [tex]Percent \ increase = \frac{New \ selling \ price- Old \ selling \ price}{Old \ selling \ price}\times 100[/tex]

By putting the values,

                               [tex]= \frac{20-16}{16}\times 100[/tex]

                               [tex]= \frac{4}{16}\times 100[/tex]

                               [tex]= 0.25\times 100[/tex]

                               [tex]= 25[/tex] (%)

Thus the above approach is appropriate.

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A company sell earbuds for $17 each. At the end of the week,they have sold $731 worth of earbuds.how many earbuds did they sell? Write and solve an equation to find the answer

Answers

Answer:

43 earbuds

Step-by-step explanation:

Let x be the number of earbuds sold over the week

This implies that

1 earbud:$17

x earbud:$731

Writing an equation, we get

[tex] \frac{1}{17} = \frac{x}{731} [/tex]

cross multiplying, we obtain

17x=731

Dividing through by 17,we get

x=43

Factorization of 45r+63s+63

Answers

Answer:

9(5r+7s+7)

Step-by-step explanation:

Answer:

9(5r+7s+7)

Step-by-step explanation:

Rewrite 63 as 7*9

Rewrite 63 as 7*9

Rewrite 45 as 5*9

=5 * 9r+ 7 * 9s + 7 * 9

Factor out common term: 9

= 9(5r+7s+7)

What is the measure in degrees of 2 show your work explain your answer
Help

Answers

Answer:

45 degrees

Step-by-step explanation:

because 2 and 5 are vertical angles they are therefore congruent by definition, 5 is half of one and one is a right angle so measure angle 2 = 45 degrees

Answer:

50

Step-by-step explanation:

The total of all 6 angles make a circle, which equals 360°. Using the information below the figure,

2 * m∠5 = 90°, since 2 * m∠5 = m∠1 and ∠1 is a right angle.

Because ∠1, ∠5, and ∠6 are on one side of line L, they must equal 180°, and if ∠1 equals 90°,

m∠5 + m∠6=90°.

Since 2 * m∠5=m∠1 and m∠1=90°, m∠1 must be 45°. And by Transitive Property, m∠6 also equals 90°.

If the total measure of the angles is 360° and ∠1, ∠5, and ∠6 add up to 180°, ∠2, ∠3, and ∠4 must also add to 180°.

m∠6=m∠3 - 20°. We know that m∠6 is 45°, so we put that into an equation. I am going to use x as the measure of ∠3.

45=x-20  >>>  20+45=x-20+20  >>>  20+45=x  >>>  65=x  >>>  x=m∠3  >>>  m∠3=65

m∠3=m∠4, so m∠3+m∠4=65+65, or 130. And like I said above, ∠2, ∠3, and ∠4 must add to 180°. 180 minus 130 (the measure of ∠3 + ∠4) = 50, which has to be the measure of ∠2

suppose your sat score is 2040 a college with an average sat score for admitted students of which of these would most likely be your best opinion

a. 1640

b. 2060

c. 1220

d. 1480

Answers

Answer:

1640.

Step-by-step explanation:

1640 would be your best option. As you are much higher than average. 2060 would not be a better option as you are below average in this case.

Answer:2060

Step-by-step explanation: your closest to 2060

cross product property

Answers

Using the cross product property on this proportion gives us the following equation:

20 (2x - 9) = 10 (9)

Use the distributive property and multiply

40x - 180 = 90

Add 180 to both sides

40x = 270

Divide 40 from both sides

x = 270/40

Simplify fraction

x = 27/4

This should be your answer. Let me know if you need any clarifications, thanks!

Final answer:

The cross product is a type of multiplication between vectors that results in a vector product. It has the distributive property and is anticommutative.

Explanation:

The cross product is a type of multiplication between vectors that results in a vector product. It is denoted by the symbol A x B and is also known as the vector product.

The cross product has the distributive property, which allows us to distribute a vector across the sum of two other vectors. For example, A x (B + C) = (A x B) + (A x C).

The cross product is anticommutative, meaning that the order in which we multiply two vectors matters. A x B = -B x A.

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9. Using the diagram below, if < 2 = 107*. find each missing angle:
M24 =
m26 =
mZ8 =
m25 =
m27 =

Answers

Answer:

24

Step-by-step explanation:

Evaluate. 12+4⋅3−15 Enter your answer in the box.

Answers

Answer:

the answer is 1.3

Step-by-step explanation:

12+4.3 is 16.3

16.3-15 is 1.3

Answer:

9

Step-by-step explanation:

PEMDAS stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.

So, the first thing you would do is Multiply:

12+4*3-15

12+12-15

Then Add:

24-15

Finally Subtract:

9

Take a factor out of the square root: 4sqrt450

Put a positive factor back into the square root:-5sqrt0.6


please help

Answers

Answer:

4[tex]\sqrt{450}[/tex] = 4[tex]\sqrt{25 * 18}[/tex]    

                                  = 4 × 5 [tex]\sqrt{18}[/tex]

                                  =  20 [tex]\sqrt{18}[/tex]

                                  = 20 [tex]\sqrt{9 * 2}[/tex]

                                  = 20 × 3 [tex]\sqrt{2}[/tex]

                                  = 60 [tex]\sqrt{2}[/tex]

-5 [tex]\sqrt{0.6}[/tex] =  -5 [tex]\sqrt{0.6}[/tex]

                                   =  -  [tex]\sqrt{25 * 0.6}[/tex]

                                   =  - [tex]\sqrt{25 * \frac{3}{5}[/tex]

                                   = - [tex]\sqrt{15}[/tex]

Steps Explanation:

simplify 450 to 25 * 18now we can take the square root of 25 to give 5, which is factored out.follow this step to the end till it is completely simplifiedFor the second part, factor in 5 by squaring it to give 25 and simplify to the end

The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x).

What is the unit rate, expressed in kilometers per minute?

Answers

Answer:

[tex]4\dfrac{1}{6}\ \text{kilometers per minute}[/tex]

Step-by-step explanation:

The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x). This graph passes through the point (75,30). This means that in 30 minutes (x = 30), it was traveled 75 kilometers.

To find unit rate, divide the number of kilometers by the number of minutes:

[tex]\dfrac{75}{30}=\dfrac{25}{6}=4\dfrac{1}{6}\ \text{kilometers per minute}[/tex]

Evaluate 2/3x when x=9/4

Answers

Answer:

3/2

Step-by-step explanation:

Plug x into the equation.

We get 2/3(9/4)

Multiply the 2 fractions. Final answer, 3/2.

Evaluate 18 - (2 + 6h), if h= 2​

Answers

Good morning,

Answer:

if h= 2​  ⇒  18 - (2 + 6h) = 4.

Step-by-step explanation:

if h= 2​ Then 18 - (2 + 6h) = 18 -(2+6×2) = 18 - 14 = 4.

:)

Can anyone answer this? I will give brainliest to whoever answers the fastest and correctly!

Answers

Answer:

-1

Step-by-step explanation:

The answer is minus one. The third quadrant only has all negative numbers therefore the answer is -1. All the other answers in the selection is positive.

Answer:

A. -1

Step-by-step explanation:

In the third quadrant, the x-coordinate and the y-coordinate are negative.

The x-coordinate must be a negative number.

Answer: A. -1

mathematics help plz

Answers

Answer: 4, 6,7,10

Step-by-step explanation: since X is greater than 3, then X can assume all numbers great than 3.

Answer:

4, 6, 7, 10

Step-by-step explanation:

x > 3 - we read: all numbers greater than number 3

Therefore:

#1: NOT, because -1 < 3 and -2 < 3

#2: NOT, because all numbers are less than 3

#3: NOT, because 3 is not greater than 3

#4: YES, because all numbers are greater than 3.

2/2 - 1/4 show answer subtracting fractions

Answers

Answer:

3/4

Step-by-step explanation:

2/2=1

1-1/4=4/4-1/4=3/4

Answer:

3/4

Step-by-step explanation:

1. Cancel 2.

1 - 1/4.

2. Get the same dominators.

1 X 1/4 X 4/4

3. Simplify.

4/4 - 1/4.

4-1/4

3/4

Determine the sign of cos pi divided by seven

Answers

Answer:

As π/7 is in first quadrant and all trig functions are positive there,

so, cos pi/7 is positive.

Step-by-step explanation:

In 1st quadrant, all trigonometric functions are positive. Measure of Angle Ф is from 0 to π/2, and measure of reference angle is Ф.In 2nd quadrant, sinФ and cosecФ are positive. Measure of Angle Ф is from π/2 to π, and measure of reference angle is π - Ф.In 3rd quadrant, tanФ and cotФ are positive. Measure of Angle Ф is from π to 3π/2, and measure of reference angle is Ф - π.In 4th quadrant, cosФ and secФ are positive. Measure of Angle Ф is from 3π/2 to 2π, and measure of reference angle is 2π - Ф.

Please check the attached figure a.

As π/7 is in first quadrant and all trig functions are positive there,

so, cos pi/7 is positive.

Keywords: trigonometric function, cos π

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EXTRA POINTS IF ANSWERED FAST: Kevin recorded the distances he ran last week. The total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday. How many miles did Kevin run on Wednesday? PLZZZZ ANSSWWWEEERRR

Answers

Answer:

[tex]5\frac{2}{3}[/tex] miles.

Step-by-step explanation:

Kevin recorded the distances he ran last week in the table attached to this question.

Now, the total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday.

Hence, {x + (x + 9) + (x + 4)} = {2x + (4x - 2)}

⇒ 3x + 13 = 6x - 2

⇒ 9x = 15

⇒ [tex]x = \frac{15}{9} = \frac{5}{3}[/tex]  

Therefore, he ran on Wednesday = x + 4 = [tex]\frac{5}{3} + 4 = \frac{17}{3} = 5\frac{2}{3}[/tex] miles. (Answer)

Answer: 9 miles

Step-by-step explanation:

x + x + 9 + x +4 = 2x + 4x-2

Collecting like terms

x + x + x +9 + 4 = 2x + 4x -2

Collect like terms

3x +13 = 6x -2

3x - 6x = -2 -13

-3x = -15

Divide both side by -3

x = 5

Therefore ; total number he ran on Wednesday

x + 4

If x = 5

Therefore total number he ran on Wednesday = 5+4

= 9

1. 112 in 8 hours
2.150 miles in 6 gallons

Answers

Answer:

first step divide 112 by 8 which is going to give you 14 per hours. second step 150 by 6 is going to give you 25 per hours

I'm assuming that you want to find the unit rate of both scenarios.

I'm going to assume that you meant 112 miles in 8 hours.

Divide to find the unit rate: 112 / 8 = 14 miles per hour.

150 miles in 6 gallons

Divide to find the unit rate: 150 / 6 = 25 miles per gallon.

Best of Luck!

which is a slope intercept form of an equation for the line containing (0,5) slope -3

Answers

Answer:

y=-3x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-3(x-0)

y-5=-3(x)

y-5=-3x

y=-3x+5

Sybil grows and sells watermelons. The function C = 4n + 15 represents her cost, in
dollars, for producing n watermelons. Her revenue, or the amount she receives for
selling n watermelons, can be represented by the function R = 6n. Which function
represents Sybil's profit, P, for selling n watermelons?

Answers

Final answer:

Sybil's profit for selling n watermelons is represented by the function P = 2n - 15, which is the result of subtracting her cost function from her revenue function.

Explanation:

The function that represents Sybil's profit, P, for selling n watermelons is found by calculating the difference between her revenue and her costs. The profit function, therefore, is the revenue function R = 6n minus the cost function C = 4n + 15. Executing the subtraction, we get:

P = R - C

P = 6n - (4n + 15)

P = 6n - 4n - 15

P = 2n - 15

This function represents the profit made on selling n watermelons.

Final answer:

The function representing Sybil's profit for selling n watermelons is P = 2n - 15.

Explanation:

Profit can be calculated by subtracting the total cost from the total revenue. In this case, the total revenue function is R = 6n and the total cost function is C = 4n + 15. To find the profit function, we subtract the total cost function from the total revenue function:

P = R - C

P = 6n - (4n + 15)

P = 2n - 15

Therefore, the function representing Sybil's profit for selling n watermelons is P = 2n - 15.

A 3 cm by 3 cm rectangle sits inside a circle with radius of 4 cm

Answers

Answer:

41.24 cm²

Step-by-step explanation:

Here is the complete question:  A 3 cm by 3 cm rectangle sits inside a circle with radius of 4 cm. What is the area of the shaded region?

Given: measurement of rectangle is [tex]3\ cm\times 3\ cm[/tex]

          Radius of circle is 4 cm.

We can find the area of shaded region by subtracting area of rectangle from area of circle.

First, lets find the area of rectangle

Formula; Area of rectangle= [tex]length\times width[/tex]

Area of rectangle= [tex]3\ cm\times 3\ cm= 9\ cm^{2}[/tex]

Area of rectangle= 9 cm²

Now, finding the area of circle.

Formula: Area of circle= [tex]\pi r^{2}[/tex] (∵ r is radius)

Area of circle= [tex]3.14\times 4^{2} = 3.14\times 16[/tex]

Area of circle= 50.24 cm²

Next solving to find area of shaded region.

Area of shared region= [tex]\textrm{Area of the circle} - \textrm{Area of the rectangle}[/tex]

Area of shaded region= [tex]50.24\ cm^{2} - 9\ cm^{2} = 41.24\ cm^{2}[/tex]

Area of shaded region= 41.24 cm²

8➗2(2+2)????????????

Answers

Answer:

16

Step-by-step explanation:

So according to PEMDAS we need to do the work in the parentheses first. 2 plus 2 is 4 so we will put 4 in the parentheses to replace 2 plus 2. Now we will divide 8 by 2 which is 4. since 4 is right next to the parentheses, we need to multiply the 4 by the 4 in the parentheses. 4 times 4 is 16.

The answer to this is 16.

Two points are located at (2,3) and (8,-5) complete the equations below to show how you can use the pythagorean theorem to find the distance between these two points

Answers

Answer:

3

Step-by-step explanation:

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