. A man has the choice of running either a host-snack stall or an ice-cream stall at a sea side resort during the summer season. If it is a fairly cool summer, he should make Rs. 5000 by running the hot-snack stall, but if the summer is quite hot, he can only expect to make Rs. 1000. On the other hand, if he operates the ice-cream stall, his profit is estimated at Rs. 6500, if the summer is hot, but only Rs. 1000 if it is cool. There is a 40 per cent chance of the summer being hot. Should he opt for running the hot-snack stall or the ice-cream stall. Give mathematical argument.

Answer:

1/10

Step-by-step explanation:

A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.

The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).

Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10

Hence the coordinate of chase house is 1/10(one tenths).

The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get  3 and one tenth.

Answer:

24

Step-by-step explanation:

a2+b2=c2

gimme that brainly

Answer:

60 degrees

Step-by-step explanation:

1. Find angle t. A and T are supplementary angles so both added together should equal 180.  180 - 120 = 60. Angle t is 60 degrees

2. All three angles inside the triangle should add up to 180 degrees. 60 +60 = 120 and 180 - 120 = 60. Angle s is also 60 degrees

Hope this helps and pls mark brainliest.

According to the perimeter of the rectangle, it is found that it's greatest possible width is of 34 cm.

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

In this problem, the length of the rectangle is 7cm longer than the width, hence l = 7 + w. Considering that the perimeter is less than 152 cm:

[tex]2(l + w) < 152[/tex]

[tex]l + w < 76[/tex]

[tex]7 + w + w < 76[/tex]

[tex]2w < 69[/tex]

[tex]w < 34.5[/tex]

Rounding, it's it's greatest possible width is of 34 cm.

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198

Answer:

(d). ( - 4, 0 )  

Step-by-step explanation:

(a). ( 5 , - 2 ) --- Coordinates do not satisfy both inequality.

(b). ( - 2 , - 8 ) --- Coordinates satisfy y ≤ - 2x - 8, but do not satisfy y ≥ x - 4 .

(c). ( 0 , 0 ) --- Coordinates satisfy y ≥ x - 4, but do not satisfy y ≤ - 2x - 8 .

(d). ( - 4, 0 ) --- The solution of the task.

Answer:

18

Step-by-step explanation:

[tex]\frac{6}{5} =\frac{N}{15} \\N=\frac{6}{5} \times 15=18[/tex]

Answer:

idrk

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

2x-y

2*5 - 3

10 - 3

7                                  

Answer: -10

Step-by-step explanation: In slope-intercept form, the formula is y = mx + b with m = slope and b = y-intercept. In the expression, the "b" is -10. Therefore, the b value of this equation is -10.

Answer:

A. The explanation of the rules are;

For the job offer for the Evergreen Landscape, Blake will have 9.75 times by the number of hours worked less the $25 for gas at the end of the week

For the job offer for the Just Jean, Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas at the end of the week

B. The solution to the equations is that the number of hours Blake will work to have the same amount in both Jobs is 6.1538 hours

C. Blake should take the Job at Evergreen Landscape

Step-by-step explanation:

The amount Evergreen Landscape will pay Blake to mow lawn = $9.75

The amount Blake would spend to work per week on gas for work at Evergreen Landscape = $25

The amount Just Jean will pay Blake to work per week as a retail clerk = $6.50

The amount Blake would spend to work per week on gas for work at Just Jean = $5

Whereby, x = The number of hours that Blake will work in a week

y = The amount of money he will have end of the week, if he does not spend any money except gas

A. The given rules are;

y = 9.75·x - 25

y = 6.50·x - 5

For the job offer for the Evergreen Landscape, we have;

y = 9.75·x - 25

Blake has to put aside $25 out of his weekly earnings for gas

Blake will have 9.75 multiplied by the number of hours worked less the $25 for gas

For the job offer for the Just Jean, we have;

y = 6.50·x - 5

Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas

B. The common solution of the both equations is given by equating both values of y as follows;

9.75·x - 25 = 6.50·x - 5

9.75·x - 6.50·x = 25 - 5

3.25·x = 20

x = 20/3.25 = 6.15385

x = 6.15385

The number of hours Blake will work to have the same amount in both Jobs = 6.1538 hours

C. Given that the number of hours Blake can work each week = 15 hours, we have;

For the job offer for the Evergreen Landscape, we have;

y = 9.75 × 15 - 25 = 121.25

The amount of money he will have end of the week = y = $121.5

y = 6.50 × 15 - 5 = 92.5

The amount of money he will have end of the week = y = $92.5

Therefore, given that by working 15 hours a week, Blake earns $121.5 on the Evergreen Landscape job and $92.5 on the Just Jean job, Blake should take the Job at Evergreen Landscape.

Answer:

Part A)

[tex]C(t)=25+8t[/tex]

Part B)

[tex]C(35)=\$305[/tex]

Step-by-step explanation:

We will let t represent the total number of t-shirts printed.

We are charged an initial fee of $25. So, for our linear model, our constant is 25. And each t-shirt printed costs an additional $8. So, for t t-shirts, it will cost an additional 8t dollars.

Part A)

So, from the above information, we can write the following function:

[tex]C(t)=25+8t[/tex]

Where C(t) is the total cost for t shirts.

The 25 represents our initial fee and the 8t represents the cost for t t-shirts.

Part B)

So, if we have a team of 35 members, we will need 35 t-shirts.

Then the total cost will be given by:

[tex]\begin{aligned}C(35)&=25+8(35)\\&=25+280\\&=\$305\end{aligned}[/tex]

So, it will cost a total of $305.

Answer:

50

..................

Step-by-step explanation:

1.5cm => 75km

1cm => 75km * (1/1.5) = 50km

Hence the scale of the map is 1cm : 50km.

Answer:

Y = -2/5x - 4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

i cant understand are they at the power of 2

Step-by-step explanation:

Answer:

4.3

Step-by-step explanation:

14.3 - 2 × 5² ÷ 5

14.3 -2 ×25÷5

14.3 -2 × 5

14.3 - 10

4.3

Answer: 15

Step-by-step explanation:

You have to multiply what Jackson made last year (24 cups) times 10 which equals 240. after that you do 240 divided by 4, which equals 60, and 60 divided by 4 again, which gives us the answer (15) (hope you could understand that) Also sorry for not answering in time!

Answer:

Yes

Step-by-step explanation:

Since the lines cross over each other, yes, they do bisect each other.

~theLocoCoco

Answer:

The correct answer would be A. I have attached a picture of how to solve it below. Please have a look at it and give the crown.

Answer:

a = -2

Step-by-step explanation:

15 = 3(a+7)

15 = 3a + 21

-6 = 3a

a = -2

Answer:

$600

Step-by-step explanation:

because 40 hours at a rate of $15/hours adds up to $600.

(40*15= 600)

Answer:

x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

4/(x + 1) = 3/(x + 2)

Step 2: Solve for x

Answer:

to solve a proportion, you cross multiply. so you take the numerator of the first one, and multiply it by the denominator of the second one. and then the denominator of the first one is multiplied by the numerator of the second one:

4(x+2)=3(x+1) (set them = and then use the distributive property)

4x+8 = 3x+3 (subtract 3x from both sides)

x +8 = 3 (subtract 8 from both sides)

x= -5  (the answer)

Answer:

4 and -3

Step-by-step explanation:

Answer:

It's the second one. 2/3 and 2/6

Answer:

PR = 7.9

Step-by-step explanation:

By sine rule:

[tex] \frac{12.5}{ \sin \: 66 \degree} = \frac{PR}{ \sin \: 37 \degree} \\ \\ \frac{12.5}{ 0.9135454576} = \frac{PR}{ 0.6018150232} \\ \\ PR = \frac{12 \times 0.6018150232}{0.9135454576} \\ \\ PR = \frac{12 \times 0.6018150232}{0.9135454576} \\ \\PR = \frac{7.22178028}{0.9135454576} \\ \\ PR = 7.90522269 \\ \\ PR \approx \: 7.9[/tex]

Answer:

Let

Tinky's age=x

Laa's age=x+2

According to the question

[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]

[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]

Step-by-step explanation:

x+2=0 x=-2

x^3+3x^2+5x+6

(-2)^3+3(-2)2+5(-2)+6

-8+12-10+6

0

hence x+2 is a factor of x^3+3x^2+5x+6

x+2=0

x=-2

2x+4

2(-2)+4

-4+4

0

also x+2 is a factor of 2x+4

Answer:

a = 8

Bottom and top length are 68

left and right are 28

Step-by-step explanation:

6a + 20 = a + 60 (same length do to the little tick marks)

5a = 40 (subtract 1a from both sides and 20 from both sides)

a = 8 (Divide)

Answer: A = 8

Step-by-step explanation:

Since Side BC and AD are equal

then we can plug both equations to each other to find A

6a + 20 = a + 60

solve it

6a + 20 = a + 60

    - 20        -20

6a = a + 40

-a     -a

5a = 40

a = 8

You can now find the length of all sides :)

Answer:

70

Step-by-step explanation:

180 minus 40 divided by 2

Answer:

$200

Step-by-step explanation:

Hope this helped you!!