find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y = 1/4x + 5

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

Answer:

The lines are parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put the equations into slope-intercept form.

x-5y = 30 ⇒ y = ⅕x - 6

10y = 2x + 90 ⇒ y = ⅕x + 9

Both lines have slope = ⅕, so the lines are parallel.

A.6 would be the answer

Answer:

x = -30

-30 + 35 = 5

Step-by-step explanation:

Answer

its d

Step-by-step explanation:

The expression that is represented by the model below is -

y = 2 x 3/8.

An expression in mathematics is a combination of terms both constants and variables.

Given are two labelled bars shown next to each other and each bar.

3 of the 8 bars are colored. Using fraction, we can represent it as -

{f} = 3/8

There are two such bars, so we can write -

y = 2{f}

y = 2 x 3/8

Therefore, the expression that is represented by the model below is -

y = 2 x 3/8.

To solve more questions on algebraic expressions, visit the link below -

https://brainly.com/question/27911936

#SPJ2

Answer: 2718

Step-by-step explanation:

Given: Mean score = 85

Standard deviation = 5

Let x be the score of a random student that follows normal distribution.

Then, the probability that a student scored between 90 and 95 will be

[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]

The number of students scored between 90 and 95 = 0.1359 x (Total students)

= 0.1359 (20000)

= 2718

Hence, The number of students scored between 90 and 95 = 2718

Answer:

[tex]\frac{9}{64}[/tex]

Step-by-step explanation:

Probability refers to chance of occurrence of any event.

Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]

So,

Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]

Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]

Answer:

A. Yup. A.

Step-by-step explanation:

Answer:

si cardo bahyanbayansusb

Answer: what is the question

Step-by-step explanation:

Answer:

5x(y+2)

Step-by-step explanation:

Answer:

You cannot add them because they both don't have the same like terms.

But if you just straight out add your answer would either be 15xy or just 15x

Step-by-step explanation:

Sorry hope this helped in someway

Answer:

120 deg

Step-by-step explanation:

There is an angle symbol in the equilateral triangle and another symbol in half of the vertex angle. Those two angles are congruent.

The measure of the vertex angle is 2 * 60 deg = 120 deg

Answer: 120 deg

AHAHAHAHAHAHA SO JM IS EQUAL TO 29⁰ AND YOU NEED TO FIND ANGLE L BUT I DON'T KNOW WHAT IT EQUALS TO

Answer: 20ft, 16ft

Step-by-step explanation:

Because 0.5in=2ft, you would divide the length (5in) and the width (4) both by 0.5. Which give you 10 for the length and 8 for the width. Then you multiply both of those products by 2 and that gives you your answer. 20ft and 16ft. Hope this helps. :)

Answer:

My answer is 55 or 60  which would be 100%

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Let the fourth proportional be x Then

2 : 3 :: 6 : x

2/3 = 6 / x

2x = 3 * 6

x = 18 / 2

x = 9

Hope it will help :)

Answer:

12

Step-by-step explanation:

12

Step-by-step explanation:

Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.

Step-by-step explanation:  1 will now become a 2, so the answer is 1.2.1,

Answer:

C

Step-by-step explanation:

According to my calculations Its c

I will do the first example, by explaining how to graph it. Then you can do the second example.

[tex]f(x) = x^3-10x^2+28x-24[/tex]

We start by determining the the x-intercepts, by letting y = 0:

[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]

The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:

[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]

So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :

[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]

Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :

[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]

x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:

[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]

Minimum: (14/3, -256/27)

Graph is in the attachment below -

Answer:

c

Step-by-step explanation:

360 is a full rotation and 90 is a quarter

Answer: C

Step-by-step explanation:

Answer:

I think its D

Step-by-step explanation:

Answer:

A,B,C,E

Step-by-step explanation:

for a everything is multiplied by 10

for c everything is divided by 6

for b everything is divided by 12

e is the only other one that fits

for a everything is multiplied by 10

for c everything is divided by 6

for b everything is divided by 12

e is the only other one that fits

ABCE is the answer to the question

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The point is on the line.

The coordinate values satisfy the equation:

  1/3x + y = 12

  1/3(3) + 11 = 12 . . . substitute for x and y

  1 + 11 = 12 . . . . . . . true

Any point that satisfies the equation is a solution. (3, 11) is a solution.

Answer:

Convert all numbers into either decimals, fractions, or percents.

0.8=0.8

8%=0.08

18%=0.18

1/8=0.125

8/18=0.445

0.08<0.125<0.18<0.445<0.8

Convert back to original

8%,1/8,18%,8/18,0.8

Answer: Me don’t know

Step-by-step explanation:

65%

Step-by-step explanation:

130000/200000*100=65%

9514 1404 393

Answer:

Step-by-step explanation:

When there are two contributors to the mix, it usually works well to let a variable represent the quantity of the larger contributor. Here, that larger contributor is the quarter.

Let q represent the number of quarters. Then 59-q is the number of dimes. The value of the coins, in cents, is ...

  25q +10(59 -q) = 1205

  15q +590 = 1205 . . . . . . . . eliminate parentheses, collect terms

  15q = 615 . . . . . . . . . . . subtract 590

  q = 41 . . . . . . . . . . divide by 15

  59-q = 59 -41 = 18 . . . . . number of dimes

You have 41 quarters and 18 dimes.