Two students are both working on the same problem: A box of laundry soap has 25%
more soap in its new box. The new box holds 2 kg. How much soap did the old box
hold?

Answer:

Step-by-step explanation:

B) The first step is to calculate the monthly payment using a present value (PV) of $59,000 , monthly interest rate of 7.60 /12 = 0.633333 %, and 60 periods, which = $1185.04 ; the second step is to add $50 to this monthly payment giving the new monthly payment of $1235.04 ; the last step is to calculate the time required to pay off the loan = 57.0740 months.

Answer:

vertex is (2 , -21)

x = -2 +√10

y = (x-3)²+1

Step-by-step explanation:

x² - 4x - 17

(x² - 4x + 4) - 4 - 17

(x-2)² - 21

vertex is (2 , -21)

2x² +8x = 12

x² + 4x = 6

(x² +4x + 4) - 6 - 4

(x+2)²  - 10

x+2 = √10

x = -2 +√10

y = (x-3)²+1

Answer:

(1,2)

Step-by-step explanation:

The solution is the point where the two lines intersect at.

In other words the point where the two lines make an x.

Hope this helps ya!!

Answer: (2,1)

Step-by-step explanation:

Answer: Rs 1469

Step-by-step explanation:

Coat of item = RS 1300

Value added tax = 13%

The price of the item will then be calculated as:

= 1300 + (1300 × 13%)

= 1300 + (1300 × 0.13)

= 1300 + 169

= Rs 1469

Answer:

A. 3(x-2)+x=4x+6 has no solution.

Step-by-step explanation:

We are provided the subsequent data in the question:

We evaluate the presented expressions to find which equations have no answer.

1)  Image of solved equation is added below.

2)  Image of solved equation is added below

3)  Image of solved equation is added below

4)  Image of solved equation is added below

Equation 1 has no solution.

Answer:

I believe it's B ^^

Answer:12.5 times out of 50

Step-by-step explanation:think about it add tails and 2

Answer:

Top Left

Their the straight line

Answer:

y=mx+b is the slope intercept form.

Step-by-step explanation:

m is the slope (how the line is moving across the graph)

b is y-intercept (where the line crosses the y axis)

Hope this helps!

Answer:

Step-by-step explanation: The equation of the line passing through the points (2, –1) and (5, –10) is y = -3x + 5 .Jun 9, 2017

Answer:

[tex]B = 38[/tex]

Step-by-step explanation:

This question can be illustrated using the attachment and the required bearing will be calculated using cosine theorem;

[tex]b^2 = a^2 + c^2 - 2ac\ CosB[/tex]

In this case:

[tex]b = 5[/tex]

[tex]a = 7[/tex]

[tex]c = 8[/tex]

[tex]<B = ??[/tex]

Substitute these values in [tex]b^2 = a^2 + c^2 - 2ac\ CosB[/tex]

[tex]5^2 = 7^2 + 8^2 - 2 * 7 * 8\ CosB[/tex]

[tex]25 = 49 + 64 - 112\ CosB[/tex]

[tex]25 = 113- 112\ CosB[/tex]

Collect Like Terms

[tex]25 -113=- 112\ CosB[/tex]

[tex]-88=- 112\ CosB[/tex]

Divide through by -112

[tex]\frac{-88}{-112}= \frac{- 112\ CosB}{-112}[/tex]

[tex]\frac{-88}{-112}= CosB[/tex]

Reorder

[tex]Cos\ B = \frac{-88}{-112}[/tex]

[tex]Cos\ B = 0.7857[/tex]

Take arccos of both sides

[tex]B = cos^{-1}(0.7857)[/tex]

[tex]B = cos^{-1}(0.7857)[/tex]

[tex]B = 38[/tex] --- (approximated)

Hence, the bearing is approximately 38 degrees

Answer:

15625

Step-by-step explanation:

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

Calculate 5 to the power of 6 and get 15625.

Answer:

Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

The slope (rate of change) of the function is 70.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

Verizon charges a $100 initial contract fee,

then $70 a month for a basic cell phone plan.

Let the x be the number of months.

So, the equation,

y = 70x + 100

By comparing with the slope-intercept form,

y = mx + b, where m is the slope.

So, m = 70.

Therefore, 70 is the slope.

To learn more about the slope;

brainly.com/question/3605446

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Answer:

Step-by-step explanation:

Let required amount be x

Using the ratio to find x:

Answer:

$12,656.25

Step-by-step explanation:

year 1: 30,000-25%=22,500

year 2: 25,000-25%=16,875

year 3: 16,875-25%=12,656.25

The least number of cabins needed for campers is 8.

Given that, Shady Rivers summer camp has 188 campers this week.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The least number of cabins needed = Total number of campers/Number of campers to each cabin

= 188/22

= 8.54

Therefore, the least number of cabins needed for campers is 8.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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The numbers is 44/3 and 22/3 are that numbers.

Given that

The sum of two numbers is 22.

One of the numbers is two times the other.

To find

What are the numbers ?

So, according to the question

Let's assume that numbers are x and y, where x is greater then y.

So, we can say that

The sum of that numbers,

x+y = 22,  -------------(1)

And

One of the numbers is two times the other.

x = 2y ---------------(2)

Now, put the value of eq(1) in eq(2)

So, we will get

x+y = 22,  -------------(1)

2y+y = 22

3y = 22

y = 22/3

Now, put the value of y in eq(2)

So, we will get

 x = 2y ---------------(2)

x = 2 (22/3)

x = 2 ×[tex]\frac{22}{3}[/tex]

x = 44/3

That numbers are 44/3 and 22/3.

To learn more about Addition and Multiplications , please click on the link:

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Answer:

x > 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2(x - 3) < 4

Step 2: Solve for x

Here we see that any value x greater than 1 would work as a solution to the equation.

Answer:

p(5) = 30

Step-by-step explanation:

p(t) and if t=5 then p(5)

p(5) = 3(2)(5)

p(5) = 6(5)

p(5) = 30

Hope this helps and I hope u have an Amazing day!!

Answer: Point A

Step-by-step explanation:

The temperature at midnight is;

= 5 - 15

= -10°C

Looking at the number line, one can surmise that the scale is in multiples of 5. This means that C is 10, B is -5 and A is -10.

With point A being -10°C, it represents the colder midnight temperature.

Answer:

Point A

Step-by-step explanation:

We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).

We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.

Answer:

idu it, the question but the euqation is x= -2y - 433 / 2 -5

Step-by-step explanation:

The radius of the circle is 4 units

The equation of the circle is given as:

(x + 5)^2 + (y - 3)^2 = 4^2

The general equation of a circle is given as:

(x - a)^2 + (y - b)^2 = r^2

Where r represents the radius

By comparing both equations, we have:

r^2 = 4^2

Take the square root of both sides

r = 4

Hence, the radius of the circle is 4 units

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

x≥6.43

Step-by-step explanation:

Let's solve your inequality step-by-step.

x+13.8≥20.23

Step 1: Subtract 13.8 from both sides.

x+13.8−13.8≥20.23−13.8

x≥6.43

Answer: 41%

Step-by-step explanation:

15 girls prefer biology.

Find the boys who prefer biology;

There are 36 girls in total so;

= 100 - 36

= 64 boys interviewed

14 boys prefer Physics

= 64 - 14

= 50 boys prefer Biology and Chemistry

7 out of the 31 who prefer chemistry are girls so the boys who prefer chemistry are;

= 31 - 7

= 24 boys

Boys who prefer Biology;

= 50 - 24

= 26 boys

Total who prefer biology;

= 15 girls + 26 boys

= 41 students

Percentage = 41/100 = 41%

Answer: -y=7

Explanation:

Think of your problem as subtraction:

2x-3y+15

-2x+3y=-1

Answer:

125

Step-by-step explanation:

C : F

10: 25

×5: ×5

50: ?

No. of fish in the tank = 25 × 5

                                    = 125

Answer:

There is a total of 100 stamps, or 10² stamps.

Explanation:

10•10=100 (standard form)

100 can be written as 10² in scientific notation (power)

Answer:

20 Cups of peanut butter

Step-by-step explanation:

Answer:

20 cups

Step-by-step explanation:

80 cookies are made by 4 cups

which means 1 cookie is made by

[tex] \frac{4}{80} cups[/tex]

Therefore 400 cookies would require

[tex]400 \times \frac{4}{80} cups = 20cups[/tex]

Please mark me brainliest

Answer:

#1 8 and all #2 is 2 and 2

Step-by-step explanation:

for the first part of both answer, you find the perpendicular line then for the second part of both answers you imagine what it would be like if you rotate it by roatateing the paper, or in my case my tablet

490909/200000 is the answer

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Answer:

[tex] \sf \: 104.4[/tex]

Step-by-step explanation:

(7.36)(10)(9)−(6.2)(10)(9)

=(73.6)(9)−(6.2)(10)(9)

=662.4−(6.2)(10)(9)

=662.4−(62)(9)

=662.4−558

=104.4

Answer:

2/3

Step-by-step explanation:

6/9=8/12=2/3

........