Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

For option A:

(0,4)

Putting x=0 and y = 4 in both equations

[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]

This is not the correct answer as both equations are not true with this solution

For Option B:

(0,-4)

Putting x = 0 and y = -4 in both equations

[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]

Both equations are true for (0,-4) hence it is the solution of the system.

For Option C:

(4,0)

[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]

Not true for both equations

Hence,

Option b is the correct answer.

Answer:

B or D

Step-by-step explanation:

Answer: The answer would be the 2nd choice. 2 4/5 is the answer.               Step by-step explanation:

For 1 miles distance : 7/10 of a mile she runs and 3/10 she walks.

For 4 miles distance:(4 times the previous distance) she will run:

4*(7/10)= 18/20 = 2.8

2.8 as a mixed number/fraction is 2 4/5 therefore the answer is 2 4/5.

Answer:

40%

Step-by-step explanation:

6/15 * 100 = 0.4 * 100 = 40%

Answer:

40% of the pieces of fruit in the Bowl are apples.    

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

Total number of pieces of fruit  in a bowl = 15 pieces

Number of pieces of apple in a bowl = 6 pieces.

Therefore, 40% of the pieces of fruit in the Bowl are apples.

Answer: 5/6 * 4/3 = 10/9

The Decimal Would Be: 1.111111

Step-by-step explanation:

hope that this answer helps you.

Answer:

TO findt he percent move the decimal place to the right 2 times. THis applies for any decimal. Therefore the percent is 0.1--->10%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok, we need to express this number as a percent of increase. So, what we'll do is write this as a proportion.

456/338 = x/100

456 x 100 = 338x

45600 = 338x

x = 134.911242604

A 34.9% increase

Answer:

Step-by-step explanation:

Increase in number:

Increase in percent:

Answer:

D

Step-by-step explanation:

because it has a varying and uniform difference of -3

Answer:

if it is triangle it is 80

Answer:

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

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

Answer:

1. 5n + 10d = 90

2. (18,0)

3. (0,9)

Answer: 0.643

Step-by-step explanation:

There are 300 people and 193 were female.

The sample portion that is female is therefore;

= 193/300

= 0.643

Answer:

C) Less than 5

Step-by-step explanation:

First you find 11% of 35

35 x .11 = 3.85

3.85<5

Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT

9514 1404 393

Answer:

  5 1/2 cm

Step-by-step explanation:

The perimeter is the sum of the given lengths (in cm):

  P = (1 1/5) +(1 3/4) +(1 1/4) +(1 3/10)

  = (1 + 1 + 1 + 1) +(2/10 + 3/4 + 1/4 +3/10)

  = 4 + 1 5/10

  = 5 1/2

The perimeter of the figure is 5 1/2 cm.

Answer:

9 pint sized jars

Step-by-step explanation:

There are two pints to the quart. 2x4=8, so there is 8 pints per 4 quarts. If one pint is the same as half a quart, we can write a pint as 0.5 quarts. So, there are 9 pints to 4.5 quarts.

Answer:

9 jars

Step-by-step explanation:

there are 2 pints in a quart so 4.5x2=9

Answer:

60°

Step-by-step explanation:

In an equilateral triangle all sides are equal so as all angles are same,

3 sided fig. 180÷3= 60°

Step-by-step explanation:

Perimeter = x + 2x + 2x = 5x

Since 5x <= 46.8cm, x <= 9.36cm.

The largest base is 9.36cm.

Answer:

9.36 is correct

Step-by-step explanation:

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

Answer:

B

Step-by-step explanation:

600+125+175=900-400(deposit)=500

or

600-125-175-300-200=100+400=500

Brainliest Please :)

Answer:

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

Given that:

A country population at any given time (t) is:

[tex]\dfrac{dP}{dt}= kP+I[/tex]

where;

P = population at any time t

k = positive constant

I = constant rate of immigration into the country.

Using the method of separation of the variable;

[tex]\dfrac{dP}{kP+1}= dt[/tex]

Taking integration on both sides:

[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]

[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]

[tex]log (kP + I) =k t+kc_1[/tex]

By applying the exponential on both sides;

[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]

[tex]KP+I = e^{kt} *e^{kc_1}[/tex]

Assume [tex]e^{kc_1 }= C[/tex]

Then:

[tex]kP + I = Ce^{kt}[/tex]

[tex]kP = Ce^{kt}-I[/tex]

[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]

When time t = 0, The Total population of the country is also [tex]P_o[/tex]

[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]

[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]

[tex]P_o = \dfrac{C-I}{k}[/tex]

C - I = kP₀

C =  kP₀ + I

Substituting the value of C back into equation(1), we have:

[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]

[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

0.345454...... = 4311/9900

0.5888..... = 530/900

0.68080..... = 674/990

4.98585..... = 4936/990

8.18080...... = 8099/990

Answer:

Second one

Step-by-step explanation:

Because if we divide third and forth column can both divided by 5. When x is is increased by one the y increases by 5

Answer:

Second chart

Step-by-step explanation:

Answer:

280

Step-by-step explanation:

50+50=100 plus 90+90= 180 so 180+100=280

Answer:

True

Step-by-step explanation:

y = 3x - 5 does have slope 3.

Let's test point (2, 1).

y = 3x - 5

1 = 3(2) - 5

1 = 6 - 5

1 = 1

Point (2, 1) does work in the equation.

Answer: True

Answer:

%50

Step-by-step explanation:

hope this helped luv!