A line passes through the point (8,7) and has a slope of negative 3/4 Write an equation in slope-intercept form for this line.

Answer:

The correct option is C. 5,400

Step-by-step explanation:

Consider the provided number.

[tex]5.4\cdot 10^3[/tex]

If the exponent of 10 is a positive number then you need to move the decimal point right as much as the exponent value.

If the exponent of 10 is a negative number then you need to move the decimal point left as much as the exponent value.

Now consider the provided number.

[tex]5.4\cdot 10^3[/tex]

Here the power of 10 is positive, so move the decimal point right as shown.

[tex]5400[/tex]

Hence, the correct option is C. 5,400

Answer:

3.

Step-by-step explanation:

To find the GCF of two numbers:

List the prime factors of each number.

Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

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                     - Innverted

Answer:

3

Step-by-step explanation:

Answer:

Density is usually expressed as grams per cubic centimeter.

Volume = 55 * 25 * 20 = 27,500 cc

Density = Mass / Volume = 4,000 grams / 27,500 cc

= 0.1454545455 grams/cc

which is an extremely low density

Step-by-step explanation:

The density of the box is found by dividing its mass (4000 grams) by its volume (27500 cubic centimeters), resulting in a density of approximately 0.1455 grams per cubic centimeter.

To calculate the density of the box, you must find the mass per unit volume. The mass given is 4 kg, which is equivalent to 4000 grams since 1 kg = 1000 grams. To find the volume, multiply the length by the width by the height of the box:

Volume = Length × Width × Height = 55 cm × 25 cm × 20 cm = 27500 cm³

Now, divide the mass of the box by the volume to get the density:

Density = Mass / Volume = 4000 g / 27500 cm³ ≈ 0.1455 g/cm³

Therefore, the density of the box is approximately 0.1455 grams per cubic centimeter (g/cm³).

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Answer:

The ratio is 1:3

Step-by-step explanation:

People can do this in different ways.

Firstly, set some variables for cydlinder A:

Diameter = 18

Height = 1

Radius = 18 ÷ 2 = 9

Area of a cylinder is [tex]\pi r^{2} h[/tex]

Plug values in:

[tex]\pi 9^{2} 1[/tex] = 81π

Diameter = 18 ÷ 3 = 6

Height = 1 * 3 = 3

Radius = 6 ÷ 2 = 3

[tex]\pi3^{2}3  = 27\pi[/tex]

Cylinder b is 3 times less than cylinder a:

81π ÷ 27π = 3

So that means three lots of cylinder b is equal to one of cylinder a.

Meaning the ration is 1:3

Answer:

B

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

where d is the common difference and [tex]a_{1}[/tex] the first term

here d = - 10 - (- 5) = - 5 - 0 = 0 - 5 = - 5 and [tex]a_{1}[/tex] = 10, hence

[tex]a_{n}[/tex] = 10 - 5(n - 1) = 10 - 5n + 5 = 15 - 5n → B

Answer:

2 1/2 ft

Step-by-step explanation:

Area is given by the formula

A = l*w

We know the area is 8 1/2  

Changing this to an improper fraction  8 1/2 = (2*8 +1)/2 = 17/2

The width is 3 2/5  as an improper fraction  = (5*3+2)/5 = 17/5

A = l*w

17/2 = l* 17/5

Multiply each side by 5/17

17/2 * 5/17 = l* 17/5 * 5/17

5/2 = l

2 1/2 = l

[tex]2x+4\geq24\qquad\text{subtract 4 from both sides}\\\\2x\geq20\qquad\text{divide both sides by 2}\\\\\boxed{x\geq10\to x\in[10;\ \infty)}[/tex]

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube is 1/36.

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube:

Probability of rolling a 3 on the first roll: 1/6

Since each roll is independent, the probability of rolling a 4 after rolling a 3: 1/6

Therefore, the overall probability of getting a 3 and then a 4: 1/6 × 1/6 = 1/36

I put it into Desmos and got (-11, -14)

Answer:

Eleanor's net proceeds would be $1340.16.  

Step-by-step explanation:

If Eleanor purchased $2568 worth of stock and paid a 0.5% broker fee, she would have to pay $12.84 for the service, which is what we get when we multiply her initial purchase by the percentage (0.005).  When Eleanor sold the stock at $3928, she had to pay a flat fee of $7 for the trade, decreasing her overall profit by $7, or $3921.  Subtracting her initial investment from the overall profit gives Eleanor a net proceed of $1340.16.  

Eleanor's net proceeds from her stock sale, after accounting for both the original broker's fee and the online trading fee, are $3908.16.

To calculate Eleanor's net proceeds, we first need to calculate the fee she paid to her first broker. At 0.5% of $2568, that comes to $2568 * 0.005 = $12.84.

Next, she sold her stocks for $3928 using an online broker that charges a flat rate of $7 per trade. So, she paid another $7 in fees.

Therefore, the total fees she paid are $12.84 (first broker) + $7 (second broker) = $19.84.

Finally, to find her net proceeds, we subtract the total fees from the amount she sold her stocks for: $3928 - $19.84 = $3908.16.

So, Eleanor's net proceeds from selling her stocks are $3908.16.

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Answer: [tex]0\leq w\leq 20[/tex]

Step-by-step explanation:

Since, Here w represents the weight of the bottle.

And, According to the question, he acceptable weights, w, of a 20-ounce bottle of sports drink.

That is, weight of the bottle can not be higher than 20 or the it can be atleast 20.

Therefore,  [tex]w\leq 20[/tex]

And, the weight can not be negative.

Therefore, [tex]0\leq w[/tex]

Thus, the required inequality is,

 [tex]0\leq w\leq 20[/tex]

Answer: 4. 7 unit

5. 20 unit

Step-by-step explanation:

4. Since, A≡ (-7,0) and B≡ (5,0)

Thus, By the distance formula,

[tex]AB = \sqrt{(5-(-2))^2+ (0-0)^2}[/tex]

⇒ [tex]AB = \sqrt{(5+2)^2+ (0)^2}[/tex]

⇒ [tex]AB = \sqrt{(7)^2+ (0)^2}[/tex]

⇒ [tex]AB = \sqrt{49+0}[/tex]

⇒ [tex]AB = \sqrt{49}[/tex]

⇒ AB = 7 unit

5. Here EF = 9x + 14, FG = 56 and EG= 250

But, According to the given diagram,

EF + FG = EG ( because G divides the line EG )

⇒ 9x + 14 + 56 = 250

⇒ 9x + 70 = 250

⇒ 9x = 250 - 70 ( By subtracting both sides by 70)

⇒ 9x = 180

⇒ x = 20  ( by dividing both sides by 9 )

Thus, the value of x is 20.

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

18,000 - 6000 = 12,000

12,000 ÷ 450 = 26.66 = 26 days 16 hours

Answer:

The answer is C

Step-by-step explanation:

Subtraction goes left on the number line

You always start with the first number on the number line

Answer:

15   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Absolute value is always positive.

Answer:

Step-by-step explanation: Absolute value of -15 is 15. Absolute value is the distance of a number on the number line from 0. Even though it is a negative, it is a positive because it is a number of units from number line. Hope it helps!!☺☻ Please give Brainliest!

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x

The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10.  Substitute x=72 into the equation.

2(72)+10

144+10

154

Answer: x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.y + 2x+10 =180Solve for y by subtracting 2x+10 from each side.y + 2x+10 - (2x+10) =180 - (2x+10)y = 180-2x-10y = 170-2xThe three angles of a triangle add to 180 degreesx+ y+ 82 = 180x+ (170-2x)+82 = 180Combine like terms-x +252=180Subtract 252 from each side-x+252-252 = 180-252-x = -72Multiply each side by -1-1*-x = -72*-1x=72The exterior angle is 2x+10.  Substitute x=72 into the equation.2(72)+10144+10154

Answer:

5.76

Step-by-step explanation:

If you subtract 7.26 by 1.5 by puting the 1.5 under the 7.26 you would get that and put y=5.76.

Answer:

Y=1.05 = 7.26

Y = 7.26 - 1.05 - 6.21

Step-by-step explanation:

The answer is 71 when simplified

Answer:

71

Step-by-step explanation:

One way of doing this problem is to remove the fractions.  If we move both decimal points two places to the right, we get 639/9.

Routine division results in a quotient of 71.

Look at the picture.

[tex]a_1=4\\\\a_2=6\\\\a_3=8\\\\a_4=10[/tex]

Answer:

Start from bottom to top. They are asking for the y-intercept of the dot. The order is as follows: 4, 6, 8, 10.

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

Answer:x=-14y=174

y=3x+5,y=-x+4

3x+5=-x+4

There are infinite number of solutions!

Move all terms containing

x

x to the left side of the equation.

Tap for more steps...

4

x

+

5

=

4

4x+5=4

y

=

−

x

+

4

y=-x+4

Move all terms not containing

x

x to the right side of the equation.

Tap for more steps...

4

x

=

−

1

4x=-1

y

=

−

x

+

4

y=-x+4

Divide each term by

4

4 and simplify.

Tap for more steps...

x

=

−

1

4

x=-14

y

=

−

x

+

4

y=-x+4

Replace all occurrences of

x

x with the solution found by solving the last equation for

x

x. In this case, the value substituted is

−

1

4

-14.

x

=

−

1

4

x=-14

y

=

−

(

−

1

4

)

+

4

y=-(-14)+4

Simplify the right side.

Tap for more steps...

x

=

−

1

4

x=-14

y

=

17

4

y=174

The solution can be shown in both point and equation forms.

Point Form:

(

−

1

4

,

17

4

)

(-14,174)

Equation Form:

x

=

−

1

4

y

=

17

4

x=-14y=174

Answer:

B. (0 , 0)

Step-by-step explanation:

Plug in the coordinate into the equation given.

Note that:

x = x

f(x) = y

Also note that in B, x = 0, y = 0

Plug in the corresponding number with the corresponding variable

0 = 5^(0)

Simplify

5^0 = 0

0 = 0 (True)

B. (0 , 0) is your answer

~

Answer:

(1,5)

Step-by-step explanation:

This is the correct answer.

check the picture below.

so red line of BD is perpendicular to AC, hmmmm let's firstly find the slope of AC, bearing in mind that perpendicular lines have negative reciprocal slopes.

[tex]\bf A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{18}~,~\stackrel{y_2}{-8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-(-2)}{18-(-4)}\implies \cfrac{-8+2}{18+4} \\\\\\ \cfrac{-6}{22}\implies -\cfrac{3}{11} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{11}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{11}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{11}{3}}}\impliedby \textit{BD's slope}[/tex]

so we're really looking  for the equation of a line whose slope is 11/3 and runs through B(4,4).  Keeping in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex]\bf B(\stackrel{x_1}{4}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies \cfrac{11}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=\cfrac{11}{3}(x-4)[/tex]

[tex]\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}\textit{ to do away with the denominators}}{3(y-4)=3\left( \cfrac{11}{3}(x-4) \right)\implies 3y-12=11(x-4)} \\\\\\ 3y-12=11x-44\implies 3y=11x-32 \\\\\\ -11x+3y=-32\implies \blacktriangleright 11x - 3y= 32\blacktriangleleft[/tex]

Final answer:

The equation for the altitude passing through point B(4,4) is in standard form as 11x - 3y = 32. This was found by calculating the slope of AC, finding the perpendicular slope, and then applying it with point B to find the equation of the line.

Explanation:

To find the equation of the altitude that passes through point B(4,4) of the triangle ABC with vertices A(-4,-2), B(4,4), and C(18,-8), we need to determine the slope of line AC and then find the perpendicular slope that passes through B.

Firstly, we calculate the slope of AC:

The slope of the altitude will be the negative reciprocal of the slope of AC because the altitude is perpendicular to AC. Hence,

Now we use the point-slope form of the equation of a line using point B:

Rewriting in standard form (Ax + By = C), we get:

So, the standard form of the equation of the altitude passing through point B is 11x - 3y = 32.

Answer:

it's (B)

Step-by-step explanation:

To find a solution for the linear inequality y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. The correct solution for the inequality is (-2, 0).

To determine a solution for the linear inequality, y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. This inequality represents a line with a slope of 3/2 and a y-intercept of 3/2. Starting from the y-intercept, we can draw a line that goes up 3 units vertically and 2 units horizontally, and another line that goes down 3 units vertically and 2 units horizontally. Shade the region below the line to include the points that satisfy the inequality. The correct solution for the inequality is (C) (-2, 0).

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Answer:

C) 5 weeks

Step-by-step explanation:

Given :- Cost of bicycle = $80,

             Current Savings = $35 and

             Saves $10 per week

Additional money that is required to buy the bicycle =  $80 - $35

                                                                                           = $45

If she saves $10 per week then the best number of weeks to save $45 is 5 weeks

(Savings in 5 weeks = $10 × 5 =  $50)