The train will take one hour, then the bus will take two and a half hours. I need to allow half an hour to change between them. How long will the whole journey take?​

Answer:

yes it is.

x = 4 and y = -3

Step-by-step explanation:

Solve simultaneously using elimination method:

equation 1 - equation 2

3x + y = 9 equation 1

-2x + y = 5 equation 2

_________

x = 4

plug 4 into any of the 2 equations and solve for y.

3(4) + y = 9

12 + y = 9

12-12 + y = 9-12

y = -3

Answer:

c > 5.28

Step-by-step explanation:

From the quadratic formula when the quantity under the square root sign, known as the determinant, is positive there will be two real solutions

b² - 4ac > 0

(-13)² - 4(8)c > 0

169 - 32c > 0

-32c > -169

c > 5.28125

Rounded

c > 5.28

Answer:

1.5 amps

Step-by-step explanation:

P = V.I

60 = 40.I

60/40 = 40.I/40

I = 1.5

Answer:

1586.91 m³

Step-by-step explanation:

From the diagram attached,

Applying,

A = πrl.................. Equation 1

Where A = surface area of the cone, l = slight heigth of the cone, π = pie.

make l the subject of the equation,

l = A/πr.............. Equation 2

From the question,

Given: A = 628.32 m², π = 3.14, r = 8 m

Substitite these values into equation 2

l = 628.32/(3.14×8)

l = 25 m

But,

l² = h²+r².................... Equation 3

Where h = height of the cone.

h = √(l²-r²)

h = √(25²-8²)

h = √(625-64)

h = √(561)

h = 23.69 m

Also Applying,

V = 1/3πr²h

Where V = volume of the cone.

Therefore,

V = (3.14×8²×23.69)/3

V = 1586.91 m³

Answer:

character

Step-by-step explanation:

I think Character because character is basically position and who you're playing as

Answer:

Yes, women better at multitasking than men.

Step-by-step explanation:

Given

[tex]n_1=120[/tex] --- Men

[tex]n_2=120[/tex] --- Women

[tex]\bar x_2 > \bar x_1[/tex] --- Women with greater average speed

Required

Does women better at multitasking?

When making comparison between two variables that are subjected to the same conditions;

If both variables have different mean values; the variable with the greater mean value performs better.

So, in this case:

[tex]\bar x_2 > \bar x_1[/tex] means that women perform better than men, at multitasking.

Answer:

4 cm

Step-by-step explanation:

The Area of a parallelogram is given by :

Area = base * height

Area = 120 cm² ; height = 30

Area = base * height

120 = base * 30

Base = 120 / 30

Base of parallelogram = 4 cm

Answer:

88 degrees

Step-by-step explanation:

Since x and z have the same angel their degrees is the same

Hello there I hope you are having a great day :) Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width of 6 cm. Find the volume of the box?

V = L x W x H

Volume = length x Width x Height.

12cm x 6cm x 8cm = V = 576cm^3

so the answer is 576cm^3

Hopefully that helps you :)

Step-by-step explanation:

VOLUME : is the quality of three deamination place enclosed by a closed surface it is the space that substance or shape or keep use or contains it is measured in cubic units

A RACTANGULAR :is a three dimensional figure it has length wind and height

let us analysis the problem above

length =12 cm

height = 8 cm

width=6 cm

v=1 x w x h

=(12 CM) x (8 CM) x (6 CM)

the value of the box is 576 CM ³

Answer:

(9,11)

(15,17)

(18,20)

Step-by-step explanation:

9-6=3

11-8=3

18-6=12

20-8=12

15-6=9

17-8=9

3*1=3

3*4=12

3*3=9

Answer: 61/100 would be the answer

Answer:

1 3/7

Step-by-step explanation:

5 / 7 ÷ ½

Copy dot flip

5/7 * 2/1

10 /7

Changing from an improper fraction

7/7 + 3/7

1 3/7

Answer:

y = 18 / (x + 2)²

Step-by-step explanation:

Inversely proportional

y * (x + 2)² = k

when x=1, y=2

k = 2 * (1 + 2)²

k = 18

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

y * (x + 2)² = 18

Divide both sides by (x + 2)²

y = 18 / (x + 2)²

Answer:

Approximately 92

Step-by-step explanation:

Using technology, the linear regression model obtained by fitting the data points is:

Y = 0.0914X1 - 0.3741

Where x = test score ; y = average sleep

Slope = 0.0914 ; intercept = - 0.3741

The test score of a student that sleeps 8 hours

y = 8

8 = 0.0914X1 - 0.3741

8 + 0.3741 = 0.0914X1

X = 8.3741 / 0.0914

X = 91.62

Answer:

2912

Step-by-step explanation:

the answer is 2912 toys.....

Total number of plants,

= 13 + 2 = 15

Number of plants in a row = 3

Hence, Total Number of rows,

Therefore, he will have five rows.

Answer:

[tex]s = - \frac{1}{4} [/tex]

Step-by-step explanation:

For m to be equal to n,

[tex]2s = \frac{2s- 1}{3} [/tex]

Multiply both sides by 3:

[tex]6s = 2s - 1[/tex]

Minus 2s on both sides:

[tex]4s = - 1[/tex]

Divide by 4 on both sides:

[tex]s = - \frac{1}{4} [/tex]

Answer:

13/16

Step-by-step explanation:

Answer:

121.50

Step-by-step explanation:

Let x be the earnings

2x+10 = 253

Subtract 10 from each side

2x+10-10 = 253-10

2x = 243

Divide by 2

2x/2 = 243/2

x = 121.50

Answer:

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Given the following data;

Present value, P = $300

Interest rate, r = 8%

Number of times, n = 1/4

Note: Future value = 2 * P = 2*300 = $600

Compound interest is generally calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interest is compounded for a certain number of times such as daily, weekly, quarterly or annually.

To find how long she would have to invest her money in order to double it, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Answer:

A) Median

Step-by-step explanation:

A median joins the midpoint of a side and the opposite vertex.

Answer:

We need more info

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

You have to add more context to your question.

Answer:

5x² - 10

Step-by-step explanation:

Step 1:

( [tex]3x^{2}[/tex] + 4x - 8 ) - ( [tex]-2x^{2}[/tex] + 4x + 2 )   Equation

Step 2:

3x² + 4x - 8 + 2x² - 4x - 2    Open Parenthises

Answer:

5x² - 10          Simplify

Hope This Helps :)

Answer:

5x² + 10

Step-by-step explanation:

Given Equation :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Solution :-

Step 1:- Remove unnecessary parantheses.

Step 2 :- arranging like terms.

Step 3 :- Calculate like terms.

Answer:

9 days before only 8 mg is still emitting radiation.

Step-by-step explanation:

The exponential model is:

[tex]y(t) = a(0.5)^{\frac{t}{28}}[/tex]

In which a is y(0), that is, the initial quantity.

10 mg is ingested by a patient

This means that [tex]a = 10[/tex], and thus:

[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]

How many days before only 8 mg is still emitting radiation?

This is t for which y(t) = 8. So

[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]

[tex]8 = 10(0.5)^{\frac{t}{28}}[/tex]

[tex](0.5)^{\frac{t}{28}} = \frac{8}{10}[/tex]

[tex](0.5)^{\frac{t}{28}} = 0.8[/tex]

[tex]\log{(0.5)^{\frac{t}{28}}} = \log{0.8}[/tex]

[tex](\frac{t}{28})\log{0.5} = \log{0.8}[/tex]

[tex]\frac{t}{28} = \frac{\log{0.8}}{\log{0.5}}[/tex]

[tex]t = 28\frac{\log{0.8}}{\log{0.5}}[/tex]

[tex]t = 9[/tex]

9 days before only 8 mg is still emitting radiation.