Solve for x.

−32>−5+9x

Answers

Answer 1

The inequality is

[tex]-32> -5+9x[/tex]

We need to isolate x and for that first we need to get rid of 5 by adding 5 to both sides.

[tex]-32+5 +-5+9x+5\\-27>9x\\[/tex]

Now we need to get rid of 9 and for that we divide both sides by 9 .That is

[tex]-\frac{27}{9}>\frac{9x}{9}[/tex]

[tex]-3>x[/tex]

[tex]x<-3[/tex]


Related Questions

How many ounces of a 40% alcohol solution must be mixed with 16 ounces of a 45% alcohol solution to make a 44% alcohol solution

Answers

I'm pretty sure it's 4 ounces so it makes up 1/5 of 40% alcohol and 4/5 of 45% alcohol

how much does the medium smoothie cost?

Answers

2 jumbo + 1 medium = 4 med + 0.15

Multiply 2 jumbo smoothies by 2 which is >> 9.90+m =4 m+0.15

9.75=3m

Divide and it'll be 3.25

3.25=m

I Actually spent a hour trying to write an answer as it also challenged me, then i saw how simple it is i wish i could take back my time


Anyways, to find out the amout a medium smoothie cost we need to find the equation for it. With the given information we can find out that the cost of 4 medium smoothies is the same as 2 jumbos and one smoothie.So first lets find out the cost of 2 smoothies, 4.95 * 2 = 9.9.Now lets plot them into an equation.

4x+0.15=9.9+x

Simplyfy the equation by removing the x from the right side

4x-x=3x      x-x=0

so now our new equation is

3x+0.15=9.9

Next lets remove the 0.15

0.15-0.15 = 0       9.9-0.15=9.75

so our new equation is now

3x=9.75

Then, we simplify the x by dividing the amount of x's it has

3x/3=x            9.75/3=3.25

So, after doing all that math, we found out that x=3.25

So each smoothie costs $3.25

so, the equation would be 4x+0.15=9.9+x

We can test it out by plotting in the situation

(3.25*4)+0.15=13.15       9.9+3.25=13.15

Don't forget to add the extra amount.

I am so glad i was able to find this out, and hope this helps you, as i had trouble with it myself, and thats coming from someone who's taking honors!

about 47% of the 15152 samples researchers found were bacteria. what number of dna samples were not bacteria

Answers

To find what number of DNA samples were not bacteria we have to find what was 47% of the 15,152 samples first.

We can do this by multiplying 0.47 x 15,152 = 7,121.44

Now 7,121.44 is 47% of the samples that DOES have bacteria. To find out how many do not we must subtract.

15,152 - 7,121.44 = 8,030.56

So the number of DNA samples that were not bacteria were 8,030.56.

GOOD LUCK! :)

What is the value of t=1

Answers

Answer:

???

Step-by-step explanation:

Do you not have the full equation posted because t=1 is t=1

Bryce rides his bike 4 blocks west to school after school he rides six blocks East to the grocery store how many blocks past his house is Bryce when he arrives at the grocery store

Answers

He rode 6 blocks to the East than he rode 4 blocks to the West, so that means after he rode 6 blocks to the east he went backwards 4 blocks.

The equation is, 6-4=2 Because he only past 2 blocks from his home to arrive at the grocery store.

Final answer:

Bryce is 2 blocks past his house when he arrives at the grocery store.

Explanation:

To find out how many blocks past his house Bryce is when he arrives at the grocery store, we need to calculate the total distance he has traveled from his house to the grocery store. He rides 4 blocks west to school and then 6 blocks east to the grocery store. To find the total distance, we can subtract the distance traveled west from the distance traveled east: 6 blocks - 4 blocks = 2 blocks past his house.

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Is Ralph's ran 15 miles in 5 days how far will he be expected to run in 8 days

Answers

24 miles because, s Ralph runs 15 miles in 5 days, so 5 times 3 =15 so 3 times 8 = 24 miles


[tex] \frac{15}{5} = 3 \: miles \: a \: day \\ 3 \times 8 = 24[/tex]
so he would run 24miles in 8 days

4+2p_< 3p -1 can somebody answer this for me

Answers

Answer: p ≥ 5


Step-by-step explanation:

Subtract 4 from both sides :

4+ 2p - 4 ≤ 3p-1 - 4

Simplify :

2p ≤ 3p -5

Subtract 3 p from both sides

2p - 3p ≤  3p - 5 - 3p

Simplify:

- p ≤ - 5

Multiply both sides by -1 (reverse the inequality right) :

( - p ) * ( - 1 ) ≥ ( -5 ) * ( - 1 )

Simplify :

p ≥ 5

Hope that helps!

Which number is bigger 1/8,,,,,,,,0.065,,,3/100,,,,0.105

Answers

1/8 = 0.125

0.065

3/100 = 0.03

0.105

the bigger is 1/8

How can I find the area of this?

Answers

A^2+B^2=C^2
160^2+120^2=c^2
25600+14400=c^2
40000=C^2
square root(40000=c^2)
diagonal is 200m

100^2+b^2=200^2
10000+b^2=40000
b^2=30000
square root(b^2=30000)
Unknown side is 173.2m

120×160×.5= 9600 m^2
this is bottom triangles area

100×173.2×.5=8650 m^2
this is the top triangle area

8650+9600= 18,250 m^2
total area

Find the area of each triangle and then add them together.

Bottom Triangle

A = [tex]\frac{1}{2}[/tex]b * h

  = [tex]\frac{1}{2}[/tex](160)(120)

  = 80(120)

  = 9600 m²

Top Triangle

First we need to find the side length. We can calculate the length of the hypotenuse using Pythagorean Theorem for the bottom triangle.

a² + b² = c²

120² + 160² = c²

14400 + 25600 = c²

40000 = c²

200 = c

Now we can use Pythagorean Theorem on the top triangle to find the missing side length.

a² + b² = c²

100² + b² = 200²

10000 + b² = 40000

              b² = 30000

              b ≈ 173

A = [tex]\frac{1}{2}[/tex]b * h

  = [tex]\frac{1}{2}[/tex](100)(173)

  = 50(173)

  = 8650 m²

Top Triangle + Bottom Triangle = Total Area

     8650       +        9600

                   18250

Answer: Area = 18,250 m²


what is the product of -2 1/4 and -4 1/2 as a mixed number and in simplest form

Answers

To find the answer:
-2 1/4 × -4 1/2
When both numbers are negative, we take it out so that the answer would be positive.
= 2 1/4 x 4 1/2
= (2x4+1)/4 x (4×2+1)/2
= 9/4 x 9/2
= 9x9/4x2
= 81/8
= 8x10+1/8
= 10 1/8
Therefore the answer is 10 1/8

Hope it helps!

two-thirds a number less than four is negative seven.

Answers

4 - 2/3x = -7 would be the equation to represent this.

Larry is 10 and his sister is 7 years old. In how many years time will their total age be 25 years?

Answers

larry will be 35 and his sister will be 28
In 4 years
10 years plus 4 years = 14
7 years + 4 years = 11
11+14= 25

whats the product of 3x(-6)?

Answers

1) Switch the negative sign with the three= -(3x6)

2) Multiply= -18

3) Your answer is -18

Hope I could help! :)

I need help with this equation
A(x+b)-c=d

Answers

Reorder the terms:
a(b + x) + -1c = d
(b * a + x * a) + -1c = d
(ab + ax) + -1c = d

Solving
ab + ax + -1c = d

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'c' to each side of the equation.
ab + ax + -1c + c = c + d

Combine like terms: -1c + c = 0
ab + ax + 0 = c + d
ab + ax = c + d

Reorder the terms:
ab + ax + -1c + -1d = c + -1c + d + -1d

Combine like terms: c + -1c = 0
ab + ax + -1c + -1d = 0 + d + -1d
ab + ax + -1c + -1d = d + -1d

Combine like terms: d + -1d = 0
ab + ax + -1c + -1d = 0

There is no solution to this equation.

Please help ‼️‼️‼️
Write an equation of the line containing the given point and perpendicular to the given line

Answers

the first step is to turn the line into standard form.

2x+5y=7
7-2x=5y

7/5-(2/5)x=y

the secound step is making it a perpendicular line. the way you do this is by multiplying the coefficient by -1. then you would flip the fraction over. and writing it in standard form with a being the constant.

(5/2)x+a=y

now you fill in the points.

(5/2)(0)+a=7

solve

0+a=7

a=7

the full equation will now be.

(5/2)x+7=y

The sum of twelve times p and d

Answers

Hey there! "The sum of twelve times p and d" Firstly, you could pull out your key terms for better understanding of the expressionHere's your key terms Sum (Of) twelve Times P and D Let's find out what each term mean for setting up your problem , easier

[tex]Sum =[/tex] [tex]add (+)[/tex]

[tex]Twelve =[/tex] [tex]12[/tex]

[tex]p[/tex] & [tex]d = [/tex] [tex]p[/tex] & [tex]d[/tex] (since they are unknown numbers)

SO, this means that your answer SHOULD look like this: [tex]12p[/tex] [tex]+ d[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]


according to the 2010 United States census the population of a town was 89154 roughly a 12% increase from 79601 in 2000 constructing Expo Neo model to predict the town's population Each decade use your model to predict the population of the town in 2040

Answers

Final answer:

To predict the population of the town in 2040 using an exponential growth model, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time. Given the population in 2010 and 2000, we can calculate the growth rate and substitute the values into the formula to predict the population in 2040.

Explanation:

To construct an exponential growth model to predict the population of the town in 2040, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time.

Given that the population in 2010 was 89154 and in 2000 was 79601, we can calculate the growth rate as follows:

Growth rate = (Population in 2010 - Population in 2000) / Population in 2000 * 100%

Growth rate = (89154 - 79601) / 79601 * 100%

Growth rate ≈ 11.98%

Now we can substitute the values into the exponential growth model and predict the population in 2040, which is 30 years after 2010:

P(2040) = 89154 * (1 + 0.1198)^(2040 - 2010)

P(2040) ≈ 89154 * 1.1198^30 ≈ 89154 * 4.676

P(2040) ≈ 417204.504

Which of the following is a mathematical statement showing that one ratio is equal to another ratio?

Answers

a proportion is a statement that two ratios are equal

Answer:

Proportion

Step-by-step explanation:

took test

You earn the same amount each week at your part-time job. The total amount you earn in 4 weeks is $460. How much do you earn per week?

Answers

total earning = $460

period of work = 4 weeks

earning/week = ($460/4 weeks) = $115

If f(x)=5x+4, which of the following is the inverse of f(x)?

Answers

[tex]Solution,\mathrm{Inverse\:of}\:5x+4:\quad \frac{x-4}{5}[/tex]

[tex]Steps:[/tex]

[tex]y=5x+4[/tex]

[tex]\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y, x=5y+4[/tex]

[tex](\mathrm{Solve}\:x=5y+4\:\mathrm{for}\:y),(x=5y+4)[/tex]

[tex]\mathrm{Switch\:sides}, 5y+4=x[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}, 5y+4-4=x-4[/tex]

[tex]\mathrm{Simplify}, 5y=x-4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5, \frac{5y}{5}=\frac{x}{5}-\frac{4}{5}[/tex]

[tex]\mathrm{Simplify}, y=\frac{x-4}{5}[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:\frac{x-4}{5}}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]\mathrm{-Austint1414}[/tex]

To find the inverse of f(x) = 5x + 4, swap x and y to get x = 5y + 4, solve for y to get y = (x - 4)/5, which is the inverse.

With the given function f(x) = 5x + 4, we first replace f(x) with y to get y = 5x + 4. We then swap x and y to get x = 5y + 4. To solve for y, we subtract 4 from both sides, giving us x - 4 = 5y. Then, we divide both sides by 5, yielding (x - 4)/5 = y. Therefore, y = (x - 4)/5, which is the inverse of the function f(x).

The sum of three consecutive integers is 171. What is the largest integer ?

Answers

56, 57, 58

Those three consecutive numbers add up to 171

Given A= {(2,3),(5,1),(-3,-2),(0,3)} A is a subset of

A. N X R
B. R X N
C. N x N
D. R X R

Answers

[tex]A=\{(2,\ 3),\ (5,\ 1),\ (-3,\ -2),\ (0,\ 3)\}\\\\X=\{2,\ 5,\ -3,\ 0\}\\\\Y=\{3,\ 1,\ -2}\\\\-3\ and\ -2\ are\ not\ a\ natural\ numberss.\\\\Therefore\ your\ answer\ is\ D.\ \mathbb{R}\ \times\ \mathbb{R}[/tex]

The set A= {(2,3),(5,1),(-3,-2),(0,3)} is a subset of 'R x R', the cartesian product of Real numbers and Real numbers because both elements of all pairs in the set A are real numbers.

The given set A contains ordered pairs where each pair is constituted of two elements. An ordered pair is always in the form of (a, b) where 'a' is from the first set and 'b' is from the second set in a Cartesian product.

In the given subsets:

A. N X R(Cartesian product of Natural numbers and Real numbers)

B. R X N(Cartesian product of Real numbers and Natural numbers)

C. N X N(Cartesian product of Natural numbers and Natural numbers)

D. R X R(Cartesian product of Real numbers and Real numbers)

Looking at the subset A= {(2,3),(5,1),(-3,-2),(0,3)}, we can observe the first element of each pair in the set, we have 2, 5, -3, and 0. Negative numbers and zero are not natural numbers. Therefore it can't be a subset of 'N x R' or 'N x N'. But they are real numbers. Hence, it could be either 'R x N' or 'R x R'. However, if we look at the second element of each pair, we see that they are 3, 1, -2, and 3. Among these, -2 is a negative number and is not a natural number, but is a real number. Therefore, the set A must be a subset of 'R x R', which is the cartesian product of Real numbers and Real numbers.

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what letter represents the initial value in y=a(b)^x

Answers

a represents the initial value

The letter "a" represents initial value. "b" is the rate, and "x" is time. Hope I could help!

Determine the slope of the line that passes through the points (-5, -4) and (0, 10).

Answers

so the equation for slope is y2-y1/x2-x2

so this would be -4-10/-5-0 which equals -14/-5 which is the same thing as 14/5

so the answer is 14/5 or if its mixed then 2 4/5

Hope this helps!

m=y2-y1/x2-x1

m=1-1/10-(-5)

m=1-1/10 + 5

m=0/15

Slope: m=0

A triangle has the perimeter of 31". The longest side is 1" less than twice the shortest side and the 3rd side is 4" longer than the shortest site. Find the lengths of the sides

Answers

X = short side
2x-1 = longest side
X+ 4 = 3rd side

Add them together and set them equal to 31

X+2x-1+x+4=31

4x+ 3=31

Subtract 3 from both sides
4x = 28
X=7

The short side is 7. The long side is 2(7)-1=13
The third side is 7+4 =11

Please help !! :) I am offering 20 points !!

Answers

(2,3)  is the ordered pair because both lines meet at this direct point on the graph.

x=2

y=3


−\frac{7}{10} ÷\frac{2}{5}

Answers

$$ −\frac{7}{10} \div\frac{2}{5}= \frac{-7}{4} $$ . totally answer. I hope helping with this answer

Answer:

Huh?

Step-by-step explanation:

A) 30
B) 2.5
C)1.5
D)2

Answers

Angle 1 and angle 2 are corresponding (they have an equal value). Set the two equations equal to each other, then solve.

40-4x=50-8x
+4x +4x
40=50-4x
-50 -50
-10=-4x
/-4 /-4
10/4=x
5/2=x
2.5=x

ANSWER: B) 2.5





It’s B) 2.5 it’s very easy



Which statement about the equation is true?



3+x=2–3x



The equation has no solution.
The equation has one solution.
The equation has infinitely many solutions.

Answers

If I did it correctly the there would be one solution for the equation.

3+x=2-3x

3=2-4x

1=-4x

x=-1/4

Answer:

Step-by-step explanationn:

6x4=8xN

How can I solve this

Answers

6×4=24 right so than how many 8 can get you to 24, so you do 8,16,24 or 8×3 So it's 8×3=24 (Your welcome ^.^)


6x4=8xN is the same as 24=8N

Divide both sides by 8 and there's your answer

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