A slow flow of lava is traveling at a rate
of 3 m per day. How far will the lava have traveled at the end of 30 days?

The amount borrowed from the first and second bank is 19000 and 2000 respectively.

Recall :

Simple interest = P×R×T

Total principal, P = 21000

Bank 1 :

Let, Principal, P = x

Rate, R = 5%

Time, T = 3

Bank 2 :

Principal, P = (21000 - x)

Rate, R = 6.5%

Time, T = 3

Total interest paid = 3240

Bank A interest + Bank B interest = total interest paid

[x × 5% × 3] + [(21000-x) × 6.5% × 3)] = 3240

0.15x + 4095 - 0.195x = 3240

-0.045x = 3240 - 4095

-0.045x = - 855

x = 19000

Hence,

19000 was borrowed from Bank 1

(21000 - 19000) = 2000 was borrowed from bank 2

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Answer:

The first choice.

Step-by-step explanation:

Domain = x value (first value in a coordinate pair: (x,y))

Range = y value

A function cannot have a repeating Domain value.

This eliminates the last option since -4 is used twice.

The second option has 11 as a y value but it is not in the range.

The third option has 10 as an x value but it is not in the domain.

Answer:

66.67

Step-by-step explanation:

20-12=8

8/12=0.6666667

0.6666667x100=66.67

Slope Formula (Between 2 points)

[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

Let these be the following:

[tex] \displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)} [/tex]

Substitute these points in.

[tex] \displaystyle \large{m = \frac{ - 2 - ( - 5)}{8 - 8} } \\ \displaystyle \large{m = \frac{ - 2 + 5}{0} }[/tex]

Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.

Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.

The line has to be vertical since a x-value can export many y-values.

Hence, the equation of a line would be x = 8

Answer:

13

Step-by-step explanation:

I think it's helping you....

Answer:

First, start by applying the distributive law property to the given equation:  

8x^8(-6x^3+5x^2+5x)

So, it'll go like this --> x (a + b + c) = xa + xb + xc

After you have the equation in this form you will then simplify.  

See the steps below for better understanding.

(the answer is highlighted in red)

Step-by-step explanation:

I think that ×3x²-7x-6 is the answers

Answer:

64

73

82

91

Step-by-step explanation:

All the two digit numbers with the sum of 10

19

28

37

46

55

64

73

82

91

The numbers whose leading digit is greater than the units digit is:

64

73

82

91

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

The total number of ways to draw 3 students is 7*6*5 = 210

Order does not matter. There are 3 students that don't play soccer.

P(3 don't play soccer) = 3*2 * 1 / 210 = 1/35 = 0.02857

Answer:

below

Step-by-step explanation:

When are adding a negative number, that means that you just subtracting a positive value.

-3 + (-5) -> -3 - 5

On a number line you would to put finger at the point -3 and move to the left 5 spaces since we are subtracting.

Best of Luck!

Answer:

k(x) = |x - 4| - 2

Step-by-step explanation:

So we know that k(x) is shifted 4 untis to the right and 2 units down. In an absolute value function, the value you move to the left will be positive and the value you move to the right will be negative. Since we are moving to the right, our value will be negative.

When you shift the function up or down, you will either subtract or add that value out side the absolute value. Since we are shifting down 2 units, that means we will be subtracting by 2.

Best of Luck!

Answer:

x = 10.

Step-by-step explanation:

the length of the two sides are the same so x must equal 10. hope this helps

Answer:

x = 10

Step-by-step explanation:

The triangle is isosceles so the two angles in red are equivalent.

This also means that the sides measuring 10 and x are equivalent.

10 = x

x = 10

Answer:

A triangular prism

Explanation:

The 2 triangles will be the 2 bases and the 3 rectangles will be the 3 sides.

Answer:

[tex]-3(t+1)(8t-3)[/tex]

Step-by-step explanation:

First, factor both the denominators completely:

[tex]9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)[/tex]

[tex]8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)[/tex]

Now, we can see that the factors of the first denominator are -3 and 8t-3.

The factors of the second denominator are t+1 and 8t-3.

To find the LCD, multiply all of these factors together:

[tex]-3(t+1)(8t-3)[/tex]

Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.

I hope this helps!

Answer:

1/3

Step-by-step explanation:

To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.

5/6-1/2

L.C.M

10-6/12

4/12

=1/3

Answer:n 2 work days, there are 8 hours in each workday. How many hours of help will he need in 2 work days

Step-by-step explanation:

Answer:

x=10.39,y=9

Step-by-step explanation:

steps are in the picture

Answer:

Math is the the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering. You can D1E from math if its just too hard...

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

Note- this answer was taken a little from "Byjus, shaala and remaining I typed myself.

Step-by-step explanation:

1) -4

2) -8, -6, -4, -3, 0, 3, 5

3) (a) -8 + 5 - 3 - 2

-13 + 5

-8

(b) -7 - 9 + 4 + 3

-7 - 9 + 7

-9

Answer:

v=-14.4

Step-by-step explanation:

Isolate v.

add - 3.1 to the other side

-7.9+3.1=-4.8

Now the problem is:  -4.8 = v/3

Next, multiply both sides by 3

-4.8 times 3 = -14.4

v = -14.4

Answer:

-14.4

Step-by-step explanation:

-7.9 = -3.1 + (v/3)

- 4.8 = v/3

v = -14.4

Answer:

13x

Step-by-step explanation:

(x)(4(2)+5)

x(8+5)

x(13)

13x . answer

Answer:

[tex]\huge\boxed{\sf f(4x + 5) = 16x\² + 40x + 25}[/tex]

Step-by-step explanation:

Given that:

f(x) = x²

Put x = 4x + 5

f(4x + 5) = (4x + 5)²

f(4x + 5) = (4x + 5)(4x + 5)

f(4x + 5) = 4x(4x + 5) + 5(4x + 5)

f(4x + 5) = 16x² + 20x + 20x + 25

f(4x + 5) = 16x² + 40x + 25

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

-8.75

Step-by-step explanation:

Rational: a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.

A rational number is a number that can be expressed as a fraction with an integer numerator and a positive integer denominator. Two different fractions may correspond to the same rational number. 1/2 = 2/4. Every whole number is a rational number. These can be written as N/1 = N, so they are rational numbers.

Using formula:

[tex]\to \bold{rational\ value =\frac{a+b}{2}}[/tex]

Given:

a=-8

b=-9

Calculating the rational number:

[tex]\to \bold{rational\ number=\frac{-8+(-9)}{2}}[/tex]

                                   [tex]\bold{=\frac{-8-9}{2}}\\\\ \bold{=\frac{-17}{2}}\\\\ \bold{=- 8.5}\\\\[/tex]

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The median number of calls is 235.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

Given;

The data;363, 311, 276, 222, 253, 235, 244

Now to find the median arrangement will be

222,235,244,253,276,311,363

Therefore, the median will be 253

Learn more about mean and median;

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#SPJ2

Answer:

4

Step-by-step explanation:

3n-(2+n) = 6

3n-2-n = 6

2n-2 = 6

2n = 8

n = 4

Answer:

n=4

Step-by-step explanation:

Start by writing the equation without parenthesis. Since there is a negative sign, everything in the parenthesis changes sign: 3n-2-n=6

Combine like terms: 2n-2=6

move -2 to the other side: 2n=8

divide both sides by 2: n=4

Answer:

36

Step-by-step explanation:

The length is 12, and the height is 6

A = 1/2 * b*h

So area = 1/2 * 72 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K