Find the slope-intercept equation of the line that passes through (2,-5) and has a slope of 1/3 ​

Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.

Let p = packet of peanuts and h = hotdogs

Establishing the system of linear equations to find the cost of one each,

3p + 4h = 14.50.............(i)

p + 6h = 13

p = 13 - 6h........(ii)

Put eq (ii) in the eq(i)

3(13-6h) + 4h = 14.50

39 - 18h + 4h = 14.50

-14h = -24.5

h = 1.75

Put h = 1.75 in eq(ii)

p = 13 - 6(1.75)

p = 2.5

Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75

Therefore, 6 package of peanuts and 10 hotdogs will costs =

6(2.5) + 10(1.75) = 15 + 17.5 = $32.5

Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

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Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=10/15

sin x=0.66

x=sin 42

therefore x=42 degree

Answer:

y=-6x=2

Step-by-step explanation:

y= mx+b

m=slope

b=y-intercept

Answer:

18 in²

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 9 : 12 = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the smaller figure then by proportion

[tex]\frac{x}{9}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 9 )

x = 18

That is area of smaller figure = 18 in²

Answer:

A=27 square units

Step-by-step explanation:

You’re welcome stranger

Answer:

A. y = -f(x+1)

Step-by-step explanation:

_______________

Answer:

The smaller number is: 8

The bigger number is: 20

Step-by-step explanation:

Ok let's say the two numbers are x and y.

x is the smaller one, and y is the bigger one.

This is the equation to find x:

x + 4y = 88

x + y = 28

x - x + 4y - y = 88 - 28

3y = 60

y = 20

x + 20 = 28

x = 8

Answer: The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Step-by-step explanation:

Transformation:

If f(x) is a function then

f(x)+k is a vertical shift k units upwards.

f(x)-k is vertical shift k units downwards.

f(x-h) is horizontal shift h units rightwards.

f(x+h) is horizontal shift h units leftwards.

So,

The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Answer:

Answer: The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Step-by-step explanation:

platoooo 2022

Answer:

b. 7

[tex] \frac{56}{x} = 8 \\ 8x = 56 \\ x = 7[/tex]

Answer:

2,000,000 - 2 million

20,00,000 - 20 lakhs

Answer:

10 lakh = 1,000,000

So 20 lakh is = 2 million

Hope it helps!

Answer:

Did you mean to attach something?

Step-by-step explanation:

I don't see the illustration... without it I cannot answer the question.

Answer:

0, 0, 4, -3

Step-by-step explanation:

Answer:

270

------

6 x 9 = 54

54 x 5 = 270

=270

Step-by-step explanation:

Answer: x=-3

Step-by-step explanation:

i don't really know if this is what I was supposed to do, but i did 6 divided by x=-2 and got x=-3

Answer:

I think the question is from Sequence.

on the basis that I have studied I think this is the way. if I am wrong sorry

Answer:

Step-by-step explanation:

6^4*612/6^7

6^4*6^12-7

6^4*6^5

6^4+5

6^9

Answer:

14

Step-by-step explanation:

just did it and don't search up mr hands. just trust me.

Answer:

Distance between two points= √(x2-x1)²+(y2-y1)²

D= 15units

Let "k" be the y-coordinate of A

A(-6,k)

B(3,2)

15= √(3--6)²+(2-k)²

Taking square of both sides to eliminate the square root.

15²=(9)²+(2-k)²

225=81+4-4k+k²

k²-4k - 140=0

Using Quadratic Formula to evaluate

k= 14 or k=-10

The Possible coordinates of A are

(-6,14) or (-6,-10)

Answer:

c) right isosceles triangle

Step-by-step explanation:

two equal sides and a 90 degree angle make a right isosceles triangle

Answer:

One solution at (-2,1)

Step-by-step explanation:

3x+4y=−2.

2x−4y=−8

Add the two equations together

3x+4y=−2

2x−4y=−8

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

5x +0y = -10

Divide by 5

5x/5 = -10/5

x=-2

Now find y

2x-4y = -8

2*-2 -4y = -8

-4-4y = -8

Add 4 to each side

-4+4 -4y = -8+4

-4y = -4

Divide by -4

y = 1

Answer:

-0.25n + 1

Step-by-step explanation:

Difference between all numbers: -0.25

Hence,

[tex]t_n = -0.25n + 1[/tex]

Feel free to mark it as brainliest :D

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ([tex]V[/tex]), in cubic feet, figure can be determined by this expression:

[tex]V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l[/tex] (1)

Where:

[tex]r[/tex] - Radius of the circle of the right cone, in feet.

[tex]h[/tex] - Height of the cone, in feet.

[tex]w[/tex] - Width of the cuboid, in feet.

[tex]H[/tex] - Height of the cuboid, in feet.

[tex]l[/tex] - Length of the cuboid, in feet.

If we know that [tex]r = 10\,ft[/tex], [tex]h = 10\,ft[/tex], [tex]w = 20\,ft[/tex], [tex]H = 7\,ft[/tex] and [tex]l = 18\,ft[/tex], then the volume of the composite figure is:

[tex]V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)[/tex]

[tex]V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}[/tex]

[tex]V \approx 3567.198\,ft^{3}[/tex]

The volume of the composite figure is approximately 3567.198 cubic feet.

Answer:

x > -7

Step-by-step explanation:

20 + 8 > -4x

Simplify

28 > -4x

Divide both sides by 4

-28/4 < x

-7 < x

x > -7

Answer:

Sum of the interior angles = 2,880° Therefore, assuming a convex or regular polygon and using the summation formula (n - 2) 180°, we have

(n - 2) 180° = 2,880° Solve for n

n - 2 = 16 Add 2 to both sides of the equation

n = 18

Step-by-step explanation:

(n - 2) 180° = 2,880° Solve for n

n - 2 = 16 Add 2 to both sides of the equation

n = 18

Answer:

B

Step-by-step explanation:

A story about someone's life, written by that person.

Good luck with the rest!

Answer:

Option B, A story about a person's life, written by that person

Step-by-step explanation:

We can take Autobiography, the term auto refers to by one's self, therefore autobiography would mean a story written by a person about them selves.

Hope this helps!

Answer:

4,800

Step-by-step explanation:

(14,700- 1,500) / 2 h 45 m

= 13,200 / 2.75

= 4,800 L/h

Time in minutes between 2 30 and 5 15 = 165 minutes= 2.75 hrs

raise in water level = 14700-1500= 13200

the average rate of increased in volume of water, giving your answer in L/h = 13200/2.75 = 4800 L/h