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2 years ago

3. Ruby and Sapphire love strawberries. Ruby starts out with 10 strawberries and finds 3 more

Mathematics

1 answer:

Svetllana [295]2 years ago

3 0

Answer:

4 minutes

Step-by-step explanation:

Let the time taken for them to have the same number of strawberries be x minutes.

Initially

Ruby: 10 strawberries

Sapphire: 30 strawberries

After x minutes

Ruby: (10 +3x) strawberries

Sapphire: (30 -2x) strawberries

Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,

10 +3x= 30 -2x

Bring all x terms to one side, constant to the other:

3x +2x= 30 -10

Simplify:

5x= 20

Divide both sides by 5:

x= 20 ÷5

x= 4

∴ It will take 4 minutes.

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A group of friends ordered 3 burgers and 3 medium fries for a total of $17.55. The price of a burger is .75 more than two times

Tatiana [17]

Answer:

Cost price of the burger = $4.15

Step-by-step explanation:

Given data:

3 burgers were ordered

3 medium fries were ordered

Total order cost 17.55

Let the price of the burger be X

Let the price of the medium fries be Y

Equation for the total sale will be 3X + 3Y = 17.55 (equation 1)

from this statement 'The price of a burger is .75 more than two times the price of medium fries.'

X - 2Y = 0.75 (equation 2)

There are now two equations and two unknowns, a simultaneous equation is solved to find the cost of the burger.

Many methods can be used to solve these equations but in this case substitution will be used

From equation 2

X = 0.75 + 2Y (equation 3)

Substituting equation 3 into equation 1

3(0.75 + 2Y) + 3Y = 17.55

2.25 + 6Y + 3Y = 17.55

6Y + 3Y = 17.55-2.25

9Y = 15.3

Y = 1.7

Substituting Y into equation 3

X = 0.75 + 2Y

X = 0.75 + 2(1.7)

X = 0.75 + 3.4

X = 4.15

Therefore the cost price of the burger is $4.15

6 0

2 years ago

This section is read-only.

sdas [7]

The angles of a triangle all add up to 180º.

You need to set up and solve the equation:

84+48+3h = 180

6 0

2 years ago

Distance on graph

Mnenie [13.5K]

The graph can be divided into two shapes. A rectangle and a right triangle.

The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.

Rectangle:
Width = 4 - 2 = 2 meters
Length = 11 - 2 = 9 meters

Triangle = 16 - 2 = 14 ; 14 - 2 = 12 meters (this is the short leg)
long leg of the triangle = length of the rectangle = 9 meters.

12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
15 = c

Point A to B = 4 - 2 = 2 meters
Point B to C = 15 meters
Point C to D = 16 - 2 = 14 meters
Point D to A = 11 - 2 = 9 meters

Total distance traveled = 2 + 15 + 14 + 9 = 40 meters.

6 0

2 years ago

PLS HELP ILL MARK CROWN

jok3333 [9.3K]

Answer:

4x−7

Step-by-step explanation:

Being given our polynomial:

$4x^{2}$ + x - 14,

We must find the roots to get our answer.

x = (- 1 ± √(1 - 4*4*(-14)) / 8

x = (- 1 ± √225) / 8

x = ( -1 ± 15) / 8

x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4

x₂ = (- 1 - 15) / 8 = - 16/2 = - 8

The factors we came up with:

(x - x₁)(x - x₂)

(x - 7/4)(x + 8)

1/4(4x - 7)(x + 8)

So,

The correct option is C.

6 0

2 years ago

Read 2 more answers

A car’s original price was $26,500. Mr. Thomas paid $21,730. What percent discount did Mr. Thomas receive on the car?

shutvik [7]

Thomas got 4,770 dollars off or if you divide it well be 0.82

8 0

3 years ago