A triangle has vertices on a coordinate grid at D(6,-1)D(6,−1), E(-4,-1)E(−4,−1), and F(-4,-6).F(−4,−6). What is the length, in units, of DE ?

The number of gallons to be sold in a month is 160,000 gallons.

Your question is incomplete. It looks like you are referring to this question below:

A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month, if X is the number of a gallons sold.

The given parameters include;

total monthly expenses, t = $(5000 + 2.2x)

number of gallons sold,  = x

price of a gallon, p = $2.25

estimated profit in a month, g = $3000

The equation for profit made in a month is as follows;

Total revenue - expenses = profit

2.25x - (5000 + 2.2x) = 3000

2.25x - 5000 - 2.2x = 3000

0.05x = 8000

x = 8000/0.05

x = 160,000 gallons

Therefore, the number of gallons to be sold in order to make the estimated profit in a month is 160,000 gallons.

To learn more about revenue and profit kindly visit: https://brainly.com/question/23706629

Step-by-step explanation:

the measure of the segment YZ

[tex] \sin(30) = \frac{yz}{50} \\ yz = 50 \times \sin(30) = 25[/tex]

YZ= 25 m

Answer:

124

Step-by-step explanation:

Answer:

The derivative of the function f(x) = -5x+3x is ---->  -2

Step-by-step explanation:

Answer:

-1243

Step-by-step explanation:

4.5×6-1243

27-1243

=-1216

Answer:

x=8

Step-by-step explanation:

You need to isolate the variable.

6x+7=55

Subtract 7 from both side.

6x=48

Divide both sides by 6.

x=8

I hope this helps!

pls ❤ and give brainliest pls

Answer:

x=8

Step-by-step explanation:

For the equation 6x+7=55 subtract 7 from both sides of the equation to get 6x=55-7  55-7 =48 so now you have 6x=48 you need to  isolate the variable x by divide both sides by 6 so 6x/6=48/6 you are left with x=8.

Answer:

Solution

= -7 (x2 -6) +2y

= -7 ( 2*2 - 6 ) + 2 * 6

= -7 ( 4 - 6) + 12

= -7 - 2 + 12

= - 9 + 12

= 3

I hope this help u :)

Answer:

x = 28

Step-by-step explanation:

The sum of the angles in a straight angle = 180°

Sum the angles and equate to 180

2x + 20 + 3x + 20 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

Answer:

952

Step-by-step explanation:

34 = (30 + 4)

28 = (20 + 8)

34 x 28 = (30 + 4) x (20 + 8)

34 x 28 = 30 x 20 + 30 x 8 + 4 x 20 + 4 x 8

34 x 28 = 600 + 240 + 80 + 32

34 x 28 = 952

952 = 952

Answer:

Step-by-step explanation:

3a-8a>-20

-5a>-20

a>-20/-5

a>4

Answer:

alr let's start

one clock 12 hrs => 360 °

so 1hr=> 30°

now visualise clock with struck 8

between 12 and 8 from smaller angle we get that there are 4 hrs in between so

4 × 30 = 120°

done Dana done done

Answer:

ANGLE=120°

SEE THE IMAGE FOR SOLUTION

Answer:

B

Step-by-step explanation:

1+2+3+4+6+8+12+24=60

60/24=5/2

so,B is the answer

The sum of all the reciprocals of the factors of 24 is 5/2.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

The reciprocals of all the factors of 24 are;

1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24

The sum of all the factors of 24:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

Take LCM of the fractions:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= (24 + 12 + 8 + 6 + 4 + 3 + 2 + 1) / 24

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= 60 / 24

Hence, the fraction:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= 5/2

Therefore, 5/2 is the sum of all the reciprocals of the factors of 24.

To learn more about the fractions;

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Answer: x  ≈  1.59688927,  −1.60312387,  −4.67045686,  4.69039614,  7.872914,  −7.91513776,  −10.89002194

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Simplify 2*cosx*(2x+30°) + √3=0

    Simplify each term.  

       Apply the distributive property.

Answer:

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

Answer:

18kg is the correct answer

Answer:

SEE BELOW

Step-by-step explanation:

1. find value of m

a^2 + b^2 = c^2

7.5^2+10^2=c^2

15+100=c^2

115=c^2

square it

=10.7 (not answer)

a^2+b^2=c^2

10.7^2+30^2=c^2

114.49+900=c^2

1014.49=c^2

square it

m=31.9

2.20^2 + 21^2 = 841

29^2=841

yes the triangle is right angled !!!

hope this helps :)

Answer:

$198

Step-by-step explanation:

Basically what I did was how long is 4:30 - 10:00 pm (5 hours and 30 minutes)

and multiplied that by your hourly rate. So 5 × 9 = 45, 9 ÷ 2 = 4.5, 45 + 4.5 = 49.5, 49.5 × 4 = 198. And since you don't clock out and this is your gross payment then that is the final answer

Answer:

x= 439/999

Step-by-step explanation:

let x= 0.439439....    -> eq.1

1000x= 439.439439....    -> eq.2

eq.2-eq.1 =>   1000-x= 439.439....-0.439439...

                            999x= 439

                               x= 439/999

Answer:

[tex]\frac{29}{66}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating digits 39 placed after the decimal point.

let x = 0.43939... ( multiply both sides by 10 and 1000 )

10x = 4.3939... → (1)

1000x = 439.3939... → (2)

Subtract (1) from (2) eliminating the repeating digits

990x = 435 ( divide both sides by 990 )

x = [tex]\frac{435}{990}[/tex] = [tex]\frac{29}{66}[/tex] ← in simplest form

Answer:

The answer would be B. x is all real numbers.

Step-by-step explanation:

It can't be A since the squiggling line is going beyond x = -1 and x = 0. That would've been a vertical line.

Well, good luck on the other 9 problems!

Answer:

-20940

Step-by-step explanation:

5 x 512 - 312 x 75 - 115

According to BODMAS ,

2575 - 23400 - 115

= -2090

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]

Answer:

The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M

Step-by-step

Change:

7h10= 430 mins

1 hour and 25 minutes= 85 mins

2 hours and 5 mintues= 125 mins

- Total time Ruth wants to do before his dinner reservations:

85+ 125+ 50= 260 (mins)

- The latest time Ruth's family can start their tour in order to make it to dinner on time:

430- 260= 170 (mins)

Change: 170 mins= 2 hours and 50 minutes

Good luck!

Answer:

30. 2x²-x-1=0

or, 2x²-2x+x-1=0

or, 2x(x-1)+1(x-1)=0

or, (x-1)(2x+1)=0

so, x-1 = 0 or, x = 1

and 2x+1 = 0 or, 2x = -1 or, x = -1/2

so, x = 1 and 1/2

31. 3x²-14x=5

or, 3x²-14x-5=0

or, 3x²-15x+x-5=0

or, 3x(x-5)+1(x-5)=0

or, (x-5)(3x+1)=0

so, x-5=0 or, x=5

and 3x+1=0 or, 3x=-1 or, x=-1/3

so, x = 5 and -1/3

Answered by GAUTHMATH

Answer:

b=3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

b = 3

Step-by-step explanation:

3(9+9b)=69+136

27+27b = 205

27b = 205-27

27b = 178

b = 178/27

*slaps face*

In the comments you said the "136" is "13b" so ok...

3(9+9b)=69+13b

27+27b = 69 + 13b

27+14b = 69

14b = 69-27

14b = 42

b = 3

Answer:

x= 2/2

Step-by-step explanation:

Answer: You can find after i explain how

Step-by-step explanation:

Add the x's together

So the problem is 6x + 1 =

This is a triangle so it = 180

6x + 1 = 180

__________

Subtract 1 from itself so 6x crosses out

Then subract 1 from 180

Which = 179

Now, divide 6 from both sides 6x is crosses out

You are left with x = (the number you got when dividing 179 / 6)

Answer:

Yes, the ratio is still 5:4.

Step-by-step explanation:

If you have a class of 5 males and 4 females, both numbers can be multiplied to get an even bigger class but the same ratio.

For example:

5 x 5 = 25 males

4 x 5 = 20 females

The amount of males to females is 25:20 when simplified (divided by 5) gets you back to your ratio of 5:4. You also can't go under this because the two don't have a way to get simplified without going into decimals. And I don't think decimals are very good with the number of students.

Have a good day! :)

Answer:

Step-by-step explanation:

15^2 = x^2 + 11^2

225 = x^2 + 121

Subtract both sides 121

225 - 121 = x^2 + 121 - 121

104 = x^2

x = √104

x = √4 × 26

x = √4 × √26

x = 2 × √26

x = 2 √26

Answer:

I. Amount = 5618 Rupees

II. Compound interest = 618 Rupees

Step-by-step explanation:

To find the compound interest;

Mathematically, compound interest is calculated using the formula;

A = P(1 + r)^t

Where;

Substituting into the formula, we have;

A = 5000(1 + 0.06)^2

A = 5000(1.06)^2

A = 5000 * 1.1236

A = 5618 Rupees

Next, we would determine the compound interest using the formula;

C.I = A - P

C.I = 5618 - 5000

Compound interest (C.I) = 618 Rupees

Answer:

y = 2x-6

Step-by-step explanation:

2x-y=6

Solve for y

Subtract 2x from each side

2x-y-2x = -2x+6

-y = -2x+6

Multiply both sides by -1

y = 2x-6

Slope intercept form is y = mx +b where m is the slope and b is the y intercept