Write the equation of the line that passes through the point (4,3) and is perpendicular to the line y=2x-4

Answer:

three fourth mile=[tex]\frac{3}{4} mile[/tex]

Step-by-step explanation:

Given

⇒

[tex]\text{Distance from house to store}=\frac{1}{3} \times \text{Distance from house to friends house}\\ \text{Distance from house to friends house}= 3\times \frac{1}{4}\\ \text{Distance from house to friends house}=\frac{3}{4}[/tex]

Distance from her house to friends house  [tex]\frac{3}{4}[/tex] miles

Answer: No

Step-by-step explanation:

I can’t think of one but if you have a pegboard there is a formula called Pick’s Formula

Answer:

The total volume of the solid is 1.67 cubic units.

Step-by-step explanation:

Each pyramid with a height of 2 units and a rectangular base with dimensions of 5 units × 0.25 units.

Therefore, the volume of each pyramid will be [tex]\frac{1}{3} \times \textrm {(Area of base rectangle)} \times \textrm {Height}[/tex]

= [tex]\frac{1}{3} \times (5 \times 0.25) \times 2 = 0.833[/tex] cubic units.

So, the total volume of the solid is (2 × 0.833) = 1.67 cubic units. (Answer)

Final answer:

To calculate the volume of the composite figure made from two identical pyramids with rectangular bases, we first find the volume of one pyramid using the formula for the volume of a pyramid and then multiply by two, resulting in a total volume of 1.666 cubic units.

Explanation:

The question involves calculating the volume of a composite figure made of two identical pyramids attached at their bases, with each pyramid having a rectangular base. The dimensions provided are a height of 2 units for each pyramid, and the rectangle's sides are 5 and 0.25 units. To find the volume of one pyramid, we use the formula for the volume of a pyramid, V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid. The area of the rectangular base, B, is calculated as length × width = 5 × 0.25 = 1.25 square units. Substituting the values into the volume formula gives us V = (1/3)×1.25×2 = (1/3)×2.5 = 0.833 cubic units for one pyramid. Since the composite figure is made up of two such pyramids, the total volume is 2 × 0.833 = 1.666 cubic units.

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

i (3,4)

Putting in Equation 1:

[tex]6(3) + 4(4) = 34\\18+16=34\\34=34\\[/tex]

Putting in Equation 2:

[tex]5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15[/tex]

ii. (4,2.5)

Putting in Equation 1:

[tex]6(4) + 4(2.5) = 34\\24+10=34\\34=34\\[/tex]

Putting in Equation 2:

[tex]5(4) - 2(2.5) = 15\\20-5 = 15\\15=15[/tex]

ill. (5,5)

[tex]6(5) + 4(5) = 34\\30+20=34\\50\neq 34[/tex]

Putting in Equation 2:

[tex]5(5) - 2(5) = 15\\25-10 = 15\\15=15[/tex]

iv. (3,2)

[tex]6(3) + 4(2) = 34\\18+8=34\\26\neq 34[/tex]

Putting in Equation 2:

[tex]5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15[/tex]

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

#LearnwithBrainly

The pair (3, 4) is a solution to both equations. The pairs (4,2.5), (5,5), and (3,2) are not solutions for either equation. There can be multiple solutions to simultaneous equations if the equations represent identical lines.

The subject of these equations involves the concept of simultaneous equations. We substitute the (x, y) pairs into both equations to determine whether they are solutions or not.

In simultaneous equations, it's possible to have more than one solution if the equations represent identical lines, otherwise there is usually a unique solution.

https://brainly.com/question/30319215

#SPJ3

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

[tex]a_n=a_1+(n-1)d[/tex]

For the 15th, term it will be

[tex]a_{15}=-3+(15-1)d\\53=-3+14d[/tex]

Adding 3 on both sides

[tex]53+3 = -3+3 + 14d\\56 = 14d[/tex]

Dividing both sides by 14

[tex]\frac{56}{14}=\frac{14d}{14}\\d=4[/tex]

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

Answer:

C) 4 is the correct answer

i have no idea how many apples should she sell

Answer:

She should sell 30 apples and 20 oranges

Step-by-step explanation:

3+2=5 so everytime she does that she gets another 5 fruit sold just add a 0 to both and boom 50. I hope thats right, im pretty sure it is

Answer:

12.

Step-by-step explanation:

The number of zeros to an equation is the highest power of the polynomial.

A quadratic equation whose highest degree is 2, has two solutions.

The equation f(x) = [tex]$ 3x^{12} - 17x^{8} + 11x^{4} - 6x + 23 $[/tex] will have 12 solutions (or zeroes) since the highest degree is 12.

Answer:

26/45 or about 58% of the log is left

Step-by-step explanation:

could be wrong though

Answer:

After that????? Please ask me the full question please.

Thank you

Answer:

Option A that is [tex]99.34[/tex] is the correct choice.

Step-by-step explanation:

To find what percentage of carbon-14 is still remaining after [tex]55[/tex] years.

We have to pull the equation and instead of [tex]t[/tex] we will put the years in numbers that is [tex]t=55[/tex]

Lets see the equation.

[tex]C(t)=100.e^{-0.000121(t)}[/tex]

Now to find the carbon-14 percentage.

Putting the value of [tex]t[/tex] in years.

So

[tex]C(t)=100.e^{-0.000121(t)}[/tex] and [tex]e^{-0.000121(55)}=0.9934[/tex]

[tex]C(t)=100\times 0.9934 =99.34[/tex]

As mentioned that the function is already framed to find the percentage we need not to convert it or multiply with [tex]100[/tex].

So the percentage of C-14 remaining after [tex]55[/tex] years is [tex]99.34[/tex]

Option A is the correct choice.

Step-by-step explanation: In this problem, we are asked to find the volume of a box which means we use the formula for finding the volume of a rectangular prism.

To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the following formula.

Volume = length × width × height

Before plugging any numbers into our length, width, or height, first notice that we have dimensions in inches and feet. To make this easier, let's first convert the width which is 1.5 feet into inches. 1.5 feet is equal to 18 inches so now we are all set.

Since the rectangular prism has a length of 14 inches, a width of 18 inches, and a height of 7 inches, we can plug this information into the formula.

Volume = (14 in.) (18 in.) (7 in.)

Volume = 1,764 in.³

Therefore, the volume of the box is 1,764 in.³.

Well, the main rules for negative numbers are that a negative combined with a negative always makes a positive. This rule applies almost everywhere, except subtraction. So, the rule also applies in division. So no matter what, if you divide a negative number with a negative number, the answer should always be positive.

The expression "negative 0.3 divided by negative 0.05" or -0.3/-0.05 has a positive quotient.

What is Quotient ?

Quotient is defined as the value resulting from dividing two numbers. When dividing two signed numbers (positive or negative), divide their absolute values and follow these rules:

(+) divided by (+) equals (+)

(-) divided by (-) equals (+)

(+) divided by (-) equals (-)

(-) divided by (+) equals (-)

To have a positive quotient, both the numerator and the denominator should have the same signs, either both (+) or both (-).

negative 0.3 divided by negative 0.05 :

-0.3/-0.05 = -/- = +

Therefore, The expression "negative 0.3 divided by negative 0.05" or -0.3/-0.05 has a positive quotient.

Learn more about quotient of signed numbers here: brainly.com/question/23578376

#SPJ2

Answer:

588 should be the answer :)

Answer:

300

Step-by-step explanation:

Solve for x.

x+(2/5*x)=420

x=300

Answer:

She scored 1200 in all ten games

Answer:

1,200 points

Step-by-step explanation:

  120 points each game

×   10 games                  

   1, 200 points

Leon needs to use 1/3 cup of olive oil for the amount of 1 teaspoon of cinnamon to maintain the same proportion as the original recipe.

Leon originally had a recipe that called for 2 teaspoons of cinnamon and 2/3 cup of olive oil. He now wants to adjust the recipe because he only has 1 teaspoon of cinnamon. To keep the proportions the same, he needs to halve the amount of the other ingredients as well.

Therefore, if 2 teaspoons of cinnamon requires 2/3 cup of olive oil, then 1 teaspoon of cinnamon will require half of 2/3 cup of olive oil, which is 1/3 cup of olive oil.

Step-by-Step Calculation

Step-by-step explanation:

If x is the number of t-shirts, and y is the number of sweatshirts:

10x + 15y ≥ 500

x + y ≤ 50

y ≥ x/2

And since x and y can't be negative:

x ≥ 0

y ≥ 0

Graph:

desmos.com/calculator/mw6dsei6jm

The boundaries of the feasible region are:

(0, 50), (0, 33.3), (28.6, 14.3), and (33.3, 16.7)

Since x and y must be integers, any non-integer solutions are not viable.

The maximum profit will be when the most product is sold.  Since sweatshirts are more profitable, we want to sell as much of that as we can.  

So they should sell 0 t-shirts and 50 sweatshirts for a maximum profit of $750.

Answer: 3

Step-by-step explanation:

Given : A manufacturer of window frames knows from past experience that 15 per cent of the production will have some type of minor defect that will require adjustment.

i.e. the proportion of production will have some type of minor defect that will require adjustment. : p=0.15

If n=20 windows are selected at random , then the expected number of window frames have minor defects = np

[tex]=20\times0.15=3[/tex]

Hence, the expected number of window frames have minor defects =3

Answer:

I don't really know but I can maybe figure it out

Answer:

12

Step-by-step explanation:

h(x) = f(g(x))

Using chain rule:

h'(x) = f'(g(x)) g'(x)

h'(1) = f'(g(1)) g'(1)

h'(1) = f'(2) g'(1)

h'(1) = -4 × -3

h'(1) = 12

Answer:

$285

Step-by-step explanation:

Blueberries:

B = number of pounds of blueberries bought

$5.50 = price of blueberries per pound

$5.50B = total price of B pounds of blueberries

Blueberries:

R = number of pounds of raspberries bought

$4 = price of raspberries per pound

$4R = total price of R pounds of raspberries

Total:

$5.5B + $4R

Since 5.5B+4R=285, then Amit spends in total on both types of berries $285

Complete question:

5B+4R=28

The above equation is true if Amit buys B pounds of blueberries and R pounds of raspberries at a farm where blueberries cost $5.50 per pound and raspberries cost $4.00 per pound. According to the equation, how much does Amit spend in total on both types of berries?

Answer:

In total Amits spends $28 in both types of berries.

Step-by-step explanation:

The equation is

5B+4R=28

B represent the weight in pounds of the blueberries and R represent the weight in pounds of the raspberries.

B =  weight in pounds of blueberries

R = weight in pounds of raspberries

The price per pound of blue berries is $5.50. The amount of blueberries he takes depending on the number of pounds Amit buys which is equals to 5B.

Cost of blueberries depending on the number of pounds = 5.5B

The price per pound of the blue berries is $4.00 .The cost of raspberries he takes depend on the number of pounds Amit buys which is equal to 4R.

Cost of raspberries depending on the number of pounds = 4R

The total cost of both blueberries and raspberries depending on the number of pounds is equals to 5B+4R=28

Total cost

5B+4R=28

In total Amits spends $28 in both types of berries.

Answer: Any number between 25 and 35 excluding both endpoints

(ie the number cannot be 25, the number cannot be 35)

One possible answer is 27 but there are infinitely many other choices

=======================================

Explanation:

The notation p ^ q in a logic math class setting means "p and q". Basically its a way of saying "both p and q are the case of some event happening". More specifically, it means that we have some number that is greater than 25 AND it is also less than 35.

If x is that number then p translates to x > 25. Statement q translates to x < 35

Flip both sides of x > 25 to get 25 < x.

--------------

So we have 25 < x  and x < 35. Those two combine to 25 < x < 35

Therefore x is some number between 25 and 35, where we leave out both endpoints. You can pick any number from this interval.

Answer:  x = -20

================================

Explanation:

The expression 18+x is the same as x+18. This is because we can add two numbers in any order to get the same result. Example: 2+3 = 3+2 = 5.

Whats happening to the x is we add on 18. To isolate x, we undo this operation to subtract 18 from both sides.

Keep in mind that subtracting a negative from a negative will have us add the positive versions of the number, and the final result is ultimately negative. So that's why -2-18 = -20. You can think of it as 2+18 = 20 and you make the 20 negative.

Here's how the steps look like

--------

18 + x = -2

x + 18 = -2

x + 18 - 18 = -2 - 18 ... subtracting 18 from both sides

x + 0 = -20

x = -20

Explanation:

Recall that the slope is equal to the rise/run.

Rise = change in y = change in distance

Run = change in x = change in time

If we have a horizontal line, then there is no change in y. The rise would be 0 here. The run can be anything you want. Let's just call it x

Slope = rise/run = 0/x = 0

Therefore, all horizontal lines have a slope of 0.

The slope of a distance time graph represents the velocity because

velocity = (change in distance)/(change in time) = rise/run = slope

for example, a velocity of 10 meters per second represents a change of 10 meters over 1 second. The rise here woud be 10 meters and the run would be 1 second.

Answer:

y=2

Step-by-step explanation:

-1+8y=23-4y

-1+12y=23

12y=24

y=2

Answer:

The Total number of adults ticket's is 15

The Total number of Senior citizen ticket's is 5

Step-by-step explanation:

Given as :

The total number of movies tickets were bought = 20

The cost of adults tickets = $ 8.00

The cost of senior citizen tickets = $ 4.00

The total money spent on movie tickets = $ 140

Let The total number of adults tickets = A

And The total number of senior citizen tickets = S

Now, According to question

The total number of movies tickets were bought = 20

I.e The total number of adults tickets + The total number of senior citizen tickets = 20

Or, A + S = 20

And $ 8 A + $ 4 S = $ 140  .........1

I.e 8 × ( A + S ) = 8 × 20

Or, 8 A + 8 S = 160         .......2

Solving the equation 1 and 2

Or, (  8 A + 8 S ) - (  8 A + 4 S ) = 160 - 140

Or, (  8 A - 8 A ) + ( 8 S - 4 S ) = 20

or, 0 + 4 S = 20

∴ S = [tex]\frac{20}{4}[/tex]

I.e S = 5

So, The number of Senior citizen ticket's = 5

Put The value of S in eq 1

So,  8 A +  4 × 5 = 140

Or, 8 A = 140 - 20

Or, 8 A = 120

∴  A = [tex]\frac{120}{8}[/tex]

I.e A = 15

So, The number of adult's tickets = 15

Hence The Total number of adults ticket's is 15

And The Total number of Senior citizen ticket's is 5    Answer

Answer:

[tex]P=4x+10[/tex]

Step-by-step explanation:

Let

x -----> the length of Danielle's board in feet

y ----> the length of Tracy's board in feet

we know that

[tex]y=x+5[/tex] ----> equation A

The perimeter of the sandbox is equal to

[tex]P=2(x+y)[/tex] ----> equation B

substitute equation A in equation B

[tex]P=2(x+x+5)[/tex]

[tex]P=2(2x+5)[/tex]

[tex]P=4x+10[/tex]

Answer:

The speed of faster bus is 108 kmph and The speed of slower bus is 98 kmph  .

Step-by-step explanation:

Given as :

The two buses apart 1442 km

The time taken for apart = 7 hours

Let The speed of faster bus = x kmph

The speed of slower bus = ( x - 10 ) kmph

Now Speed = [tex]\dfrac{\textrm distance}{\textrm time}[/tex]

∵ Both the buses traveling in opposite direction

So, The speed of faster bus + the speed of slower bus =  [tex]\dfrac{\textrm distance cover}{\textrm time}[/tex]

Or, x + x - 10 = [tex]\frac{1442}{7}[/tex]

or, 2 x = 206 + 10

or, 2 x = 216

∴  x = [tex]\frac{216}{2}[/tex]

I.e x = 108  kmph

So, The speed of faster bus = x = 108 kmph

And The speed of slower bus = ( x - 10 ) = 108 - 10 = 98 kmph

Hence The speed of faster bus is 108 kmph and The speed of slower bus is 98 kmph  . Answer

The expression after performing the indicated operation written as trinomial is:

[tex]x^2+5x-8[/tex]

Step-by-step explanation:

Given

(x + 4)(x - 2) + 3x

We have to multiply (x + 4)(x - 2) and then add 3x to it

So,

[tex](x + 4)(x - 2) + 3x\\=[x(x-2)+4(x-2)]+3x\\= (x^2-2x+4x-8)+3x\\=x^2+2x-8+3x[/tex]

Combining alike terms

[tex]=x^2+2x+3x-8\\=x^2+5x-8[/tex]

The expression after performing the indicated operation written as trinomial is:

[tex]x^2+5x-8[/tex]

Keywords: Polynomials, Expressions

Learn more about polynomials at:

#LearnwithBrainly

Final answer:

To express (x + 4)(x - 2) + 3x as a trinomial, expand the product, combine like terms, and then add the additional term which results in the trinomial x² + 5x - 8.

Explanation:

To perform the indicated operations and express as a trinomial, we need to expand the binomial product and combine like terms with the additional term.

First, we expand the product: (x + 4)(x - 2) = x² - 2x + 4x - 8

Next, we combine the terms within the product: x² + (4x - 2x) - 8 = x² + 2x - 8

Now, we add the additional term: (x² + 2x - 8) + 3x

Lastly, we combine like terms: x² + (2x + 3x) - 8 = x² + 5x - 8

Answer: 39.76

Step-by-step explanation: To find 56% of 71, first write 56% as a decimal by moving the decimal point two places to the left to get .56.

Next, the word "of" means multiply so we have .56 × 71.

(.56) (71) = 39.76

Therefore, 56% of 71 is 39.76.

Answer:

y+2x=9 is the line passing through (6,-3) parallel to y=-2x-5

Step-by-step explanation:

In the question we are given with a point (6,-3) and a line [tex]y=-2x-5[/tex]. we have to find the line passing through given point and parallel to given line.\

formula used: equation of a line passing through a point(a,b) with slope m is given by [tex](y-b) = m(x-a)[/tex].

here we have (a,b)=(6,-3) and the slope of the line is slope of [tex]y=-2x-5[/tex]

i.e, -2( coefficient of x).

therefore,  substituting point and slope in formula we get [tex]y+3 = -2(x-6)[/tex]

which simplifies to [tex]y+3= -2x+12\\ y+2x=9[/tex] is asked line equation