What is the final step in solving the inequality -2(5 - 4x)
Step 1: -10 + 8x < 6x - 4
Step 2: -10 <-2x - 4
Step 3: -6<-2x
Step 4
AVA

Answer:

It would be 11.333 minutes

Step-by-step explanation:

I solved this by setting up a cross multiplication.

60%/17 so then 40/x.

Then here cross multiplying. 60x=680. divide by 60 and x would = 11.33

Answer:

35

Step-by-step explanation:

86-65=21$ (initial fee diffrence)

21/0.6= 35

for 35 m company B charge less than A unless if renter want to drive further 35m so company A present a better offer.

1) There is 233.33% increase in the quantity.

2) There is 122.22% increase in the quantity.

3) There is 15% decrease in the quantity.

Step-by-step explanation:

1) Start: 3 End: 10

Change = End - Start

Change = [tex]10-3=7[/tex]

As the change is positive, therefore, it shows an increase

Percent increase = [tex]\frac{Change}{Start}*100[/tex]

Percent increase = [tex]\frac{7}{3}*100 = 233.33\%[/tex]

There is 233.33% increase in the quantity.

2) Start: 9 End: 20

Change = [tex]20-9=11[/tex]

As the change is positive, it shows an increase.

Percent increase = [tex]\frac{Change}{Start}*100[/tex]

Percent increase = [tex]\frac{11}{9}*100 = 122.22\%[/tex]

There is 122.22% increase in the quantity.

3) Start: 100 End: 85

Change = 85-100 = -15

Negative sign shows that it is a decrease in quantity.

Percent decrease = [tex]\frac{Change}{Start}*100[/tex]

Percent decrease = [tex]\frac{15}{100}*100 = 15\%[/tex]

There is 15% decrease in the quantity.

Keywords: Percentage, increase

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Answer:

1. 233.333%

2.122.2%

3.-12%

Step-by-step explanation: Hopes this helps you :)

Answer:

1002

Step-by-step explanation:

Answer:

165 additional messages

Step-by-step explanation:

$47.25 - $6.00 for 600 messages and 0.25/each additional message= $47.25-$6.00=41.25/0.25 per message =165 additional messages for a total of 765

Answer:

The required cards can be -6 and -6.

Step-by-step explanation:

Consider the provided integer -12.

We need to find the two cards whose sum is -12.

There are lots of choices for the two cards whose sum is -12.

Few choices are:

If we first card is -6 and the second card is also -6 then the sum will be -12:

[tex]-6-6=-12[/tex]

If we first card is -4 and the second card is -8 then the sum will be -12:

[tex]-4-8=-12[/tex]

If we first card is -10 and the second card is -2 then the sum will be -12:

[tex]-10-2=-12[/tex]

Thus, the required cards can be -6 and -6.

Answer:

1.22

its obvious, lets say 100% of 1 is 1. 22% of 1 is 0.22. 1+0.22=1.22

The percent 122% as a decimal will be 1.22.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The expression is given below.

⇒ 122%

Then the percent 122% as a decimal will be

⇒ 122 / 100

⇒ 1.22

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Answer:

see the explanation

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

step 1

Find the measure of angle BDA

we know that

Triangle ABD is an isosceles triangle

AB=AD ---> given problem

so

m∠ABD=m∠BDA

therefore

m∠BDA=72°

step 2

Find the measure of angle BAD

Remember that the sum of the interior angle in a triangle must be equal to 180 degrees

In the triangle BDA

m∠ABD+m∠BDA+m∠BAD=180°

substitute the given values

72°+72°+m∠BAD=180°

144°+m∠BAD=180°

m∠BAD=180°-144°=36°

step 3

Find the measure of angle BCA

In the triangle ABC

m∠BCA=m∠BAC

we have that

m∠BAC=m∠BAD=36°

therefore

m∠BCA=36°

step 4

Find the measure of angle ABC

In the triangle ABC

m∠BAC+m∠BCA+m∠ABC=180°

substitute the given values

36°+36°+m∠ABC=180°

72°+m∠ABC=180°

m∠ABC=180°-72°=108°

step 5

Find the measure of angle DBC

we know that

m∠DBC+m∠ABD=m∠ABC ----> by addition angle postulate

substitute the given values

m∠DBC+72°=108°

m∠DBC=108°-72°=36°

step 6

Find the measure of angle BDC

we know that

m∠BDC+m∠ADB=180° ----> by supplementary angles

substitute the given value

m∠BDC+72°=180°

m∠BDC=180°-72°=108°

step 7

In the triangle DBC we have

m∠DBC=36°

m∠BCD=m∠BCA=36°

so

The triangle BCD has two equal angles

therefore

Triangle BCD is an isosceles triangle

and

BD=BC

Answer:

x=8

Step-by-step explanation:

5(x/2+3)=35

x/2+3=35/5

x/2+3=7

x/2=7-3

x/2=4

x=4*2

x=8

Answer:

x=8

Step-by-step explanation:

Divide both sides of the equation by 5 to get (x/2) + 3 = 7, then subtract 3 from each side to get x/2 = 4; finally multiply both sides by 2 to get x = 8

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

Answer:

13 grls in ur class

Step-by-step explanation:

15*115%=17

17-15=2

25-2=13

Hope tht this helps :)

a)The proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15.

b)The value of x obtained after solving the proportion is 13.043.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that there are 15 girls in your class this year and there is a 15% increment from last year.

Suppose x is the number of girls in the class last year,

⇒15 = 15 % of x + x

⇒(15-x)/x = 0.15

Solving the above equation for finding the value of x,

15 - x = 0.15 x

15 = 0.15 x + x

15 = 1.15 x

x =15 / 1.15

x=13.043

Thus, the proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15, and the value of x obtained after solving the proportion is 13.043.

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871 miles ........... 13 hours

469 miles ............x hours

x = 469×13/871 = 7 hours

Answer: 72

Step-by-step explanation: Simple, how many seconds are in a minute? 60. How do you get from 10 to 60? Multiply by 6. Then you take the beats every 10 seconds (12) and multiply by 6 (What it took to get from 10 to 60) to get 72.

To find (f o h)(4), substitute h(4) into f(x) and evaluate the expression.

To find (f o h)(4), we need to first find h(4) and then substitute that value into f(x). Let's start by finding h(4).

h(x) = - x + 3

h(4) = -4 + 3 = -1

Now, we substitute h(4) into f(x).

f(x) = -3x - 1

f(h(4)) = f(-1) = -3(-1) - 1 = 2

Therefore, (f o h)(4) = 2.

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Answer:

The slope is 3.

Step-by-step explanation:

y=-1+3x

y=3x-1

y=mx+b where m=slope and b=y-intercept

The solutions to the equation 9x^2 - 54x = 0 are x = 0 and x = 6, found by factoring and setting each factor equal to zero.

To find the solution(s) to the equation 9x2 - 54x = 0, we can start by factoring out the greatest common factor, which is 9x. This gives us:

9x(x - 6) = 0

Now, we set each factor equal to zero:

From the first equation, we divide by 9 to isolate x:

x = 0

From the second equation, we add 6 to both sides:

x = 6

Thus, the solutions to the equation are:

Answer:

Split the coins into three groups, A, B and C consisting of 3 coins in each group.

Weigh: A--B

1. If A=B, the the counterfeit is in group C

Weigh any two coins in group C and figure out the rest.

2. If A≠B, then the counterfeit is in the lighter group.

Weigh any two coins in the lighter group and figure out the rest.

Steven can find the counterfeit coin in just two weighings by dividing the 9 coins into 3 groups and using the balance scale.

Steven can find the counterfeit coin in two weighing by following these steps:

By dividing the coins into three groups, Steven eliminates two-thirds of the coins after the first weighing and then narrows it down to just two coins in the second weighing.

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Answer:

Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by - 3.

Step-by-step explanation:

We are going to solve an equation of inequality of single variable x.

We will start with, -3x + 5 > 20

⇒ -3x + 5 - 5 > 20 - 5

⇒ - 3x > 15

⇒ [tex]\frac{-3x}{-3} < \frac{15}{-3}[/tex]

⇒ x < - 5

Therefore, while dividing both side terms by -3, the inequality sign will change from > to < sign.

So, Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by a negative number. (Answer)

Answer:

Slope=9, y-intercept= 39

Step-by-step explanation:

The equation is already in y=mx+b form, where m is the slope and b is the y-intercept

(rearrange positions of 9m and 39 to get t=9m + 39)

So, the slope is 9 and the y-intercept is 39

Answer:

in 2hrs =  -6°C

in 5hrs = -15°C

in half an hr = -1.5°C

Step-by-step explanation:

in an hr, the temperature falls by 3°C = 0 -3 = -3°C

in 2hrs = 2*-3°C = -6°C

in 5hrs = 5*-3°C = -15°C

in half an hr = 0.5 * -3°C = -1.5°C

The required continues to fall at this rate of the temperature in 2 hours -6°C ,5hours in -15°C and in half an hour -1.5°C.

Given that,

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour.

We have to find,

If it continues to fall at this rate, what will the temperature be in 2 hours 5 hours and in half an hour.

According to the question,

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour.

In an hour the temperature falls by 3°C = 0 - 3 = -3°C

The temperature fall in 2hrs = (2)(-3°C) = -6°C

The temperature fall in 5hrs = (5)(-3°C) = -15°C

The temperature fall in half an hour = (0.5)(-3°C) = -1.5°C

Hence, The required continues to fall at this rate of the temperature in 2 hours -6°C ,5hours in -15°C and in half an hour -1.5°C.

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Answer:

$2.50

Step-by-step explanation:

Let the original monthly expenses be 'x'.

Given:

Reduced monthly expenses = $2.125

Reduction in monthly expenses = 15%

Therefore, remaining percentage of monthly expenses = 100 - 15 = 85%

Now, as per question:

[tex]85\%\ of\ x=2.125\\\frac{85}{100}\times x=2.125\\0.85x=2.125\\x=\frac{2.125}{0.85}=\$2.50[/tex]

Therefore, the original monthly expenses of Mr. Wood was $2.50.

Also, we can find his monthly income using the value of 'x'.

As per question, his monthly expenses is 80% of his income.

So, 80% of income = 2.5

Income = [tex]\frac{2.5}{0.80}=\$3.125[/tex]

So, his monthly income is $ 3.125

Answer:

The number is -9.

Step-by-step explanation:

I set it up like this:

(-8) - 3x = 19

Then you add 8 to both sides of the equation in order to get rid of the negative 8.

(-8) + 8 - 3x = 19 + 8

After solving you would end up with this:

- 3x = 27

Then, you need to get the x by itself, so you divide by -3. In order to keep the equation equal though, you need to also divide the right side of the equation by -3.

- 3x ÷ -3 = 27 ÷ -3

Your final answer after solving would be:

x = -9

Answer:

A. y = [tex]-\frac{2}{3}[/tex] x + 12

Step-by-step explanation:

Given the two points:

A = (x1, y1) =  (6, 8)

B = (x2, y2) = (9. 6)

From the photo, we can see that the line of fest fit is a straight line (linear) that go through the two points above.

We have the standard form of a linear equation is:

where m is the slope and b is the y-intercept

To find the slope, we use the following formula:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

<=> m = [tex]\frac{6-8}{9-6}[/tex] = [tex]-\frac{2}{3}[/tex]

Substitute m into the standard equation, we have:

Because the line go through point A, so we substitute A into (1), we have:

8 = [tex]-\frac{2}{3}[/tex] *6 + b

<=> b = 12

So our equation is: y = [tex]-\frac{2}{3}[/tex] x + 12

Answer: y=-2/3x+12

Step-by-step explanation:

Answer:

Factorization of [tex]P(x)=(x+2)(2x+1)(3x-1)[/tex]

Step-by-step explanation:

Given:

The given polynomial is [tex]P(x)=6x^3+13x^2+x-2[/tex]

Also, [tex]P(-2)=0[/tex]

Since, for [tex]x=-2[/tex], [tex]P(x)[/tex] is 0, therefore, [tex]x+2[/tex] is a factor of the polynomial.

Now, let us divide the given polynomial by [tex]x+2[/tex] using long division method. Therefore,

[tex]\frac{6x^3+13x^2+x-2}{x+2}=6x^2+x-1[/tex]

The process of long division is shown below.

Now, factoring the quotient [tex]6x^2+x-1[/tex], we get

[tex]6x^2+x-1=6x^2+3x-2x-1=3x(2x+1)-1(2x+1)=(3x-1)(2x+1)[/tex]

Therefore, the factors of polynomial [tex]P(x)[/tex] are [tex](x+2),(2x+1),\ and\ (3x-1)[/tex]

Hence, the factorization of [tex]P(x)[/tex] is:

[tex]P(x)=(x+2)(2x+1)(3x-1)[/tex]

Answer:

k = $41.44/7 bags = $5.92/bag

The cost of one bag of apples is 5.92 dollars.

To find the cost of one bag of apples, we can divide the total cost by the number of bags.

Given the equation [tex]\(41.44 = 7k\)[/tex], where [tex]\(k\)[/tex] represents the cost of one bag, we can solve for [tex]\(k\)[/tex] by dividing both sides of the equation by 7:

[tex]\[ k = \frac{41.44}{7} \][/tex]

Calculating:

[tex]\[ k = \frac{41.44}{7} = 5.92 \][/tex]

Answer:

Approximately 143 mL of 1:4 solution and 457 mL of water

Step-by-step explanation:

A 1:4 solution has a concentration of 1/(1+4) = 1/5 or 20%.

Similarly, a 1:20 solution has a concentration of 1/(1+20) = 1/21 or 4.76%.

If x is the mL of 20% solution and y is the mL of water, then:

x + y = 600

1/5 x = 1/21 (600)

Solve:

x = 5/21 (600)

x ≈ 143

y ≈ 457

You need approximately 143 mL of 1:4 solution and 457 mL of water.

Answer:

10 on top the rectangle and 4 on the left thats the answer ,   the girl who commented helped me out alot all i did was divide 3 times 30 and 3 times 12

Step-by-step explanation:

Answer:

10 on the top of the square and 4 on the side

Step-by-step explanation:

Answer:

7 is width

Step-by-step explanation: i got it right

The length of the rectangle is 7 unit.

A rectangle is a plane shape that has pair of opposite sides equal.

To calculate the length of the rectangle, we use the formula below

Formula:

Where:

From the question,

Assuming the width of the rectangle is y unit

Substitute these values into equation  1

Solving the quadratic equation,

Since length can not be negative,

Hence The length of the rectangle is 7 unit.

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Answer:

I think it is option C :>

Answer:

The time taken by ball to hit the ground is 5.10 seconds .

Step-by-step explanation:

Given as :

The height cover by ball to move upward = 7 feet

The initial velocity = u = 50 feet per sec

Let the time taken by ball to hit the ground = t sec

Let the deacceleration rate = - 9.8 m/s²

The final velocity of the ball = v=  0 at the top

So, From equation

v = u + at

I.e v = u + a × t

Or, 0 = 50 + ( - 9.8) × t

Or, 9.8 t = 50

∴ t = [tex]\frac{50}{9.8}[/tex]

I.e t = 5.10 seconds

So, time taken = 5.10 sec

Hence The time taken by ball to hit the ground is 5.10 seconds . Answer