What would be the equation for this word problem?

Jack drove y miles in 20 mins. If he continues at the same rate how many miles can he drive in the next 15 mins?

Answers

Answer 1

9514 1404 393

Answer:

  d/15 = y/20

Step-by-step explanation:

At a given rate, distance is proportional to time. The distance d that Jack can drive in 15 minutes will be ...

 d/15 = y/20 . . . . the equation

  d = (3/4)y . . . . . the solution (multiply the above equation by 15, reduce)


Related Questions

-3x^5y^7/6xy^8
PLEASE HELP

Answers

9514 1404 393

Answer:

  -x^4/(2y)

Step-by-step explanation:

Perhaps you want to simplify ...

  [tex]-\dfrac{3x^5y^7}{6xy^8}=-\dfrac{3}{6}x^{5-1}y^{7-8}=-\dfrac{x^4y^{-1}}{2}=\boxed{-\dfrac{x^4}{2y}}[/tex]

__

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

_____

Comment on notation

When writing a fraction in plain text, any denominator that includes an arithmetic operation must be enclosed in parentheses. Your given expression is properly written as ...

  -3x^5y/(6xy^8)

Without the parentheses, the product xy^8 is in the numerator. This is demanded by the order of operations, which requires you evaluate your expression as (-3x^5y^7/6)·xy^8

$17,818 is invested, part at 11% and the rest at 6%. If the interest earned from the amount invested at 11% exceeds the interest earned from the amount invested at 6% by $490.33, how much is invested at each rate? (Round to two decimal places if necessary.)

Answers

Answer:We know the total amount of money invested. $17818

x+y=17818,

We know that the difference in interest earned by the two accounts is $490.33

0.11*x-0.06*y=490.33

x=17818-y

We substitute for x

0.11*(17818-y)-0.06*y=490.33

We multiply out

1959.98-0.11y-0.06*y=490.33

We combine like terms.

1469.65=0.17*y

Isolate y

y=1469.65/0.17

y=8645 at 6%

Calculate x

x=17818-8645

x=9173 at 11%

Check

0.11*9173-0.06*8645=490.33

interest earned at 11%=1009.03

interest earned at 6%=518.70

1009.03-518.7=490.33

490.33=490.33

Since this statement is TRUE and neither amount is negative then all is well.We know the total amount of money invested. $17818

x+y=17818,

We know that the difference in interest earned by the two accounts is $490.33

0.11*x-0.06*y=490.33

x=17818-y

We substitute for x

0.11*(17818-y)-0.06*y=490.33

We multiply out

1959.98-0.11y-0.06*y=490.33

We combine like terms.

1469.65=0.17*y

Isolate y

y=1469.65/0.17

y=8645 at 6%

Calculate x

x=17818-8645

x=9173 at 11%

Check

0.11*9173-0.06*8645=490.33

interest earned at 11%=1009.03

interest earned at 6%=518.70

1009.03-518.7=490.33

490.33=490.33

Since this statement is TRUE and neither amount is negative then all is well.

Beginning in January, a person plans to deposit $1 at the end of each month into an account earning
15% compounded monthly. Each year taxes must be paid on the interest earned during that year. Find
the interest earned during each year for the first 3 years.

Answers

Answer:

hi I am a Nepal

[tex] {233333}^{2332} [/tex]

if f(n) = 6-2n, find f(-1)

Answers

Answer:

8

Step-by-step explanation:

f(n)= 6-2n

f(-1) = 6- 2(-1)

= 6+2

=8

John has a cylindrical propane tank that measures 8" in diameter and 8" tall If John
buys a new cylindrical propane tank that is twice as wide and half as tall as his
current tank, how much larger will the volume of the new tank be?

Answers

Answer:

2 times as large

Step-by-step explanation:

For the original cylinder, we can say that the volume of a cylinder is equal to V= πr²h. For this cylinder, we can say that  V = π * radius² * height. The radius is equal to 1/2 of the diameter, so the original radius is 8/2 = 4. Therefore, the volume of the original cylinder is V = π * radius² * height = π * 4² * 8 = π * 16 * 8 = π * 128

For the new cylinder, "twice as wide" means that the diameter is twice as big as the original one. Half the height means that the height is halved. The new diameter is therefore 8 * 2 = 16 (meaning that the new radius is 16/2=8) while the new height is 8/2 = 4. The new volume is thus

V = π * radius² * height = π * 8² * 4 = π * 64 * 4 = π * 256

To see how much larger the new tank volume is, we can divide (new tank volume) by (old tank volume), resulting in

π * 256 / (π *128) = 2

4 + 1n(x-1)=3 solve for x

Answers

[tex]\\ \sf \longmapsto 4+10(x-1)=3[/tex]

[tex]\\ \sf \longmapsto 4+10x-10=3[/tex]

[tex]\\ \sf \longmapsto 10x-6=3[/tex]

[tex]\\ \sf \longmapsto 10x=3+6[/tex]

[tex]\\ \sf \longmapsto 10x=9[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{9}{10}[/tex]

-36 = 6(2-8n) please

Answers

Answer:

n=1

Step-by-step explanation:

-36 = 6(2-8n)

-36=12-48n

-36-12=-48n

-48=-48n

n=1

90./04/ (C) 98.7877 TD) (D) 98.7777 12. If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter is: (A) 13 cm (B) 17 cm (C) 27 cm (D) 30 cm 3. An article is purchased for 7,500 and sold for 8,400. The profit percent is : (A) 8% (B) 10%​

Answers

Answer:

1) D - 30 cm 2) 12 percents

Step-by-step explanation:

The first question was If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter is: (A) 13 cm (B) 17 cm (C) 27 cm (D) 30 cm

two perpendicular sides are legs, find the hipotenuse of the triangle

It is equal to sqrt(5^2+12^2)= sqrt169=13

5+12+13=30 - D - the perimeter

The second question

7500 -100 percents

8400- x

7500/8400=100/x

75/84=100/x

(25/28)*x=100

(1/28)*x=4

x=4/(1/28)= 4*28= 112 percents

The profit is 12 percents

2) Option D is correct. If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter will be 30cm.

3) None of the given options are correct. If an article is purchased for 7,500 and sold for 8,400, the profit percentage will be 12%

2) A right-angled triangle is a triangle with three sides and one of its angles is 90degrees. Find the image of a right-angled triangle attached below.

The triangle consists of 3 sides which are:

The opposite sideThe adjacent sideThe hypotenuse side

Before we can get the perimeter of the right triangle, we need to get the third side first (the hypotenuse side) using the Pythagoras theorem. According to the theorem:

[tex]c^2=a^2+b^2[/tex]

Given

a = 5 cm

b =12 cm

[tex]c^2=5^2+12^2\\c^2=25+144\\c^2=169\\c=\sqrt{169}\\c=13 cm[/tex]

Perimeter of the right triangle = a + b + c

Perimeter of the right triangle = 5 cm + 12 cm + 13 cm

Perimeter of the right triangle = 30 cm

Hence the perimeter of the right triangle is 30 cm.

3) If an article is purchased for 7,500, then;

Cost price (C.P) = 7,500

If the same article is sold for 8,400, then:

Selling price (S.P) = 8,400

[tex]\% profit=\frac{SP-CP}{CP} \times 100[/tex]

Substitute the given parameters

[tex]\% profit=\frac{8400-7500}{7500} \times 100\\\%profit=\frac{900}{7500} \times 100 \\\%profit=\frac{900}{75}\\\% profit = 12 \%[/tex]

This shows that the profit percent is 12%

Learn more on perimeter and percentage profit here: https://brainly.com/question/23264165

https://brainly.com/question/22104935

State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A breed of cattle needs at least 10 protein and 8 fat units per day. Feed type I provides 5 protein and 3 fat units at $5/bag. Feed type II provides 4 protein and 4 fat units at $3/bag. Which mixture fills the needs at minimum cost

Answers

Answer:

Step-by-step explanation:

Let x and y represent the quantities of feed type I and feed type II, respectively.

Constraints

  5x +4y ≥ 10 . . . protein requirements

  3x +4y ≥ 8 . . . . fat requirements

  x ≥ 0, y ≥ 0 . . . can't have negative quantities

Objective Function

  Minimize 5x +3y

__

The graph shows the solution to be ...

  2.5 bags of Feed Type II will fill the need at minimum cost.

Х
30°
Calculate the size of angle x.
angle x =
I

Answers

If one Angle is = 30

And the other two angles are equal

Given: x = l

ATQ

⇒30+x+l= 180

⇒x + x = 180-30

⇒2x = 150

⇒x = 150/2

⇒x = 75

Therefore x = 75

And the angles are 30, 75 and 75

Must click thanks and mark brainliest

Please help. Question #12

Answers

Answer:

Step-by-step explanation:

Writing Inequalities Ouestion 22 A number increased by three is at most -7​

Answers

Answer:

can you please specify the question i mean is this like

Step-by-step explanation:

let the no. be x

ATQ

3x-7

or

3x= -7

Pedro : 80%
Javier: 90%
Marcos: 75%

1. If during a month Pedro has taken 30 free throws, how many will he have hit?
Si durante un mes Pedro ha lanzado 30 tiros libres, ¿cuántos habrá acertado?

2. If Javier hits 4 free throws in a match, how many has he taken?
Si Javier acerta 4 tiros libres en un partido, ¿cuántos ha lanzado?

Answers

Answer:

1. 24

2. 4.444... (or 4 rounded to the nearest whole number)

Step-by-step explanation:

1. 80/100 = x/30

cross-multiply

100 × x = 100x

80 × 30 = 2400

divide

100x/100 = x

2400/100 = 24

answer

x = 24

2. 90/100 = 4/x

cross-multiply

90 × x = 90x

100 × 4 = 400

divide

90x/90 = x

400/90 = 4.444...

answer

x = 4.444...

Choose a variable to isolate and what it is equal to in the
system of equations below.

16x = 2y + 18
4y = 3x - 1

A. X = -8y + 9
B. y = X-9
C. y = 8X-9
O D. y = 8x + 9

Answers

Answer:

С. y=8x-9

Step-by-step explanation:

Solve the system of equations

3x=4y+1

16x=2y+18 (multiply by -2)

-32x= -4y-36

3x-32x= 4y+1-4y-36

-29x= -35

x=35/29

4y= 3*35/29-1= 105/29-29/29=76/29

y= 76/29: 4/1= 19/29

You know x and y, then attempt to replace x,y in every equation (from A to D) on 35/29 and 19/29 respectively. If the left and right part in some equation are equal after replacing that's the correct answer.

In C 19/29= 8*35/29- 9

19/29=19/29

It is correct.

The length of the red line segment is 8 and the length of the blue line segment is 4. How long is the major axis of the eclipse?

Answers

The major axis of the eclipse is 12 units long

The given parameters can be represented as:

[tex]Red = 8[/tex]

[tex]Blue = 4[/tex]

See attachment for illustration

To solve this question, we make use of the following theorem

The distance between a point and the foci sums up to the major axis

This translates to:

[tex]Major\ axis = Red + Blue[/tex]

[tex]Major\ axis = 8 + 4[/tex]

[tex]Major\ axis = 12[/tex]

Read more at:

https://brainly.com/question/11395328

If path has 56 marbles and he gave Sandra 34 how many marbles will he have left?​

Answers

Answer:

22

Step-by-step explanation:

You just subtract them

56-34

= 22

56-34= 22
Therefore your answer is 22

Help me Please I need this

Answers

there are 7 vertices in this shape

Answer:

7.

Step-by-step explanation:

The vertices are the points where the lines meet.

12.5% of it is 6 hrs​

Answers

Answer:

48 hours

Step-by-step explanation:

12.5/100 = 6/x

1. cross-multiply

12.5 × x = 12.5x

100 × 6 = 600

2. divide

12.5x/12.5 = x

600/12.5 = 48

3. answer

x = 48

For which indicated domain are both the inequalities x > 2 and
x < 4 true?

Answers

Answer:

C.

2 must be less than x if x is greater than 2, and x must be less than 4 if 4 is greater than x.

The sum of 3x2 +x+8 and x- 9 can be expressed as

Answers

Answer:

2x + 5

Step-by-step explanation:

((3x2)+x+8) + (x-9)

= ((6) + x +8) + (x -9)

= (14 +x) + (x-9)

= 14 + x + x -9

= 2x + 5

answered by g a u t h m a t h

find the square root of 121/225​

Answers

Answer:

11/15 or .73333333...

Step-by-step explanation:

heres how i went about it:

think of it as a fraction,

121

------

225

to find the sqyare root of a fraction you would find the square root of each number individually

√121=11

√225=15

then you divide them and get .73333333333333333...

bad at explaining but hope this helped <3

if the value of a any quadratic function f (x)=ax^2 + BX + C is -8, the function will​

Answers

Answer:

The parabola will open downward

Step-by-step explanation:

f (x)=ax^2 + BX + C

Since a = -8

The parabola will open downward

When a< 0 the graph opens downwards

a>0 the graph opens upwards

PLEASE HELP ME!!! GIVING BRAINLYEST!!!
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
Which statement best describes the relationship between the positions of the two players?

Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Step-by-step explanation:

The x-coordinates are equal, -6.

The y-coordinates are opposites, 3 and -3.

Answer: Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Answer:

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Step-by-step explanation:

If you were to mirror Dog 1’s position over the x-axis, it would overlap on Dog 2’s position. Coordinates are written as (x, y). The coordinates on this graph are (-6, 3) and (-6, -3). The -6 in the x-value places are the same, but the y-values are different.

56÷(7-9)^3 -24/23-5×4​

Answers

Answer:

= −28.043478261

Step By Step Explanation

Answer From Gauth Math

Just in case you want to know what rule I used it was bedmas.
Hope it helps

Question
Find the volume of a cone with a height of 9 centimeters and a radius of 5 centimeters.
Use 3.14 to approximate pi, round your answer to the nearest hundredth if necessary, and do not include units.

Answers

Answer:

235.5

Step-by-step explanation:

Substitute the values into the equation [tex]V=\pi r^2 \frac{h}{3}[/tex], which is the formula for finding the volume of a cone.

[tex]V=(3.14)(5^2)\frac{(9)}{3}[/tex]

Simplify.

[tex]V=(3.14)(25)(3)[/tex]

Simplify again.

[tex]V=(78.5)(3)[/tex]

Simplify for the last time.

[tex]V=235.5[/tex]

Note, using 3.14 will give you 235.5, but if you use the [tex]\pi[/tex] button on a scientific calculator, your answer will be 235.62. Given the constraints of the problem, your best bet will be 235.5.

Find the missing side of the triangle.

Answers

Answer:

x = 2(sqrt26) or x = 10.1980390272...

Step-by-step explanation:

Right triangles can be solved using Pythagorean theorem, where the legs are squared and added together to get the hypotenuse's length squared.

If we set up the equation:

11^2 + x^2 = 15^2

which is

121 + x^2 = 225

subtract 121 from both sides

x^2 = 104

sqrt  both sides

x = 2(sqrt26), or x = 10.1980390272...

Answer:

Using Pythagoras theorem

c²=a²+b²

(15)²=x² +(11)²

225=x²+ 121

-x²=121-225

-x²=-104

multiply both sides by (-1)

x²=104

x=✓104

x=10ft

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line
through the points rises, falls, is horizontal, or is vertical
(2,9) and (-2,9)

Answers

m= y2 - y1/ x2 - x1
m= 9-9/-2-2
m= 0/-4
m= 0

The slope is 0
Answer:

Slope = 0

Line = vertical

Step-by-step explanation:

How to solve for slope:

Step 1. Use the slope-formula given the two points

Slope = change in y/change in x

Slope = (y2 - y1)/(x2 - x1)

Points: (2, 9) & (-2, 9)

Step 2. Plug in the points into the formula

Slope = (9 - 9)/(-2 - 2)

Step 3. Subtract

Slope = 0/-4

Step 4. Simplify

Slope = 0
—————————————————
The slope is 0 and since the points are on the same y-coordinate, the line is vertical

Aidan has four cards with +, -, x, ÷ printed on them.

He inserts them between the five numbers 5, 4, 3, 2 and 1 to form the expression 5 + 4 x 3 -2 , which the value 15.

Emma says:

"Aidan put the operation in the order +, -, x, ÷.
If I place the operation cards in a different order between the number 5, 4, 3, 2, 1. I can make the value equal to 19."

Which operation would Emma do first?

Answers

9514 1404 393

Answer:

  multiply (×)

Step-by-step explanation:

5 ×4 - 3 +2 ÷1 = 19

Emma would place the multiply (×) operation first.

Solve each equation for the given variable?

Answers

Answer:

1. x = 20     2. n = 50

Step-by-step explanation:

1/4x - 2 = 3

1/4x = 5

x = 20

2. 8 = 1/5n - 2

10 = 1/5n

n = 50

Answer:

Question 1

Original equation:

1/4x-2=3

Add 2 to both sides:

1/4x=5

Multiply both sides by 4/1:

x=20

Question 2

Original equation:

8=1/5n x 2

Divide both sides by 2

4 = 1/5n

Multiply both sides by 5/1

n=20

Let me know if this helps!

Using Eulers formula, how many edges does a polyhedron with 9 faces and 14 vertices have?

Answers

By Euler's Formula

F + V = E + 2

Solution

F = 9

V = 14

E = ?

Substuting the values

⇨ 9 + 14 = E + 2

⇨ 23 = E + 2

⇨ 23 - 2 = E

⇨ 21 = E

Hence , the number of edges in polyhedron is 21.

The number of edges of a polyhedron with 9 faces and 14 vertices have will be 21.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

here, we have,

Using Euler's formula, the number of the edges does a polyhedron with 9 faces and 14 vertices have

We know the formula for the edges of the polyhedron will be

By Euler's Formula

F + V = E + 2

The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.

Then we have

Solution

F = 9

V = 14

E = ?

Substuting the values

⇨ 9 + 14 = E + 2

⇨ 23 = E + 2

⇨ 23 - 2 = E

⇨ 21 = E

Hence , the number of edges in polyhedron is 21.

More about the polygon link is given below.

brainly.com/question/17756657

#SPJ2

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