Write and solve and equation for each scenario. Use x for the variable in your equation. Show your work by first writing an equation and then solving it. Put the solution of your equation in the answer box. If you multiply a number (x) by 5, the product is equal to the sum of 20 and 15.

Answer: v=-.25

Step-by-step explanation:

Step 1: Subtract 1 from both sides.

64v^3+1−1=0−1

64v^3=−1

Step 2: Divide both sides by 64.

64v^3 64 = −1 64

v^3= −1 64

Step 3: Take cube root.

v=( −1 64 )^(1/3 )

Step 4: There is no step 4 lol

v=−0.25

The amount of water after x minutes is equal in both pools.

What is a Linear equation in one variable?

A univariate linear equation is an equation of the form ax + b = 0, where a and b are two integers, x is a variable, and there is only one solution.

For example, 2x+3=8 is a linear equation in one variable.

The given equation is 5000 - 50x = 4800 - 30x.

solving for 'x',

                        5000 - 50x = 4800 - 30x

                        5000 - 4800 = 50x - 30x

                        200 = 20x

                        x = 200/20

                        x = 10

The amount of water after 10 minutes in Pool A will be = 5000 - 50(10)

                                                                                           = 5000 - 500                                                                                                                                              

                                                                                           = 450 liters

The amount of water after 10 minutes in Pool B will be = 4800 - 30(10)

                                                                                           = 4800 - 300                                                                                                                                              

                                                                                           = 450 liters.

Hence, the amount of water will be the same in both pools.

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Answer:

2561.2785

Step-by-step explanation:

All you gotta do is calculate and times 78.93 x 32.45

The distance between the x-intercepts of these two line is 10 units.

Given that,

These two lines' x-intercepts are separated by 10 units.

Equation of the line with slope 2 is

y-30/x-40 = 2

For x intercept put y = 0,

then

-30/x-40 =2

x =25

Equation of the line with slope 6 is

y-30/x-40 =6

For x intercept put y = 0,

then

-30/x-40 =6

x =35

Distance between x-intercepts of these two lines is difference of the two intercepts i.e,

D = 35-25 = 10.

Thus, the distance between the x-intercepts of these two line is 10 units.

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Answer:

x=-6

Step-by-step explanation:

-18x=108

/-18. /-18

x=-6

Hopes this helps please mark brainliest

Divide both sides by −18.

Divide 108 by −18 to get −6.

The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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Answer:

Find the slope between the points (1,2) and (9,12).

Step-by-step explanation:

If I was going to draw the line of best fit without a calculator, I would draw it including these two points.  Once I had these two points, I would find the slope using these points.

Answer:

I+P=A

Step-by-step explanation:

isolate a on 1 side

I=A—P

+P. +P

I+P=A

Hopes this helps please mark brainliest

Answer:

A=P+I

Step-by-step explanation:

make A the subject of formula

giving A= P+I

The cost of 4.5 tonnes of rock is $56.25

Given,

cost of 1 tonne of rock=$12.50

then

to find cost of 4.5 tonnes of rock, multiply 12.50 with 4.5,

cost of 4.5 tonnes of rock = 4.5* 12.50 = $56.25

Thus ,the cost of 4.5 tonnes of rock is $56.25.

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Part A: polynomial in Standard form;-

bluef(x) = ax⁴ + bx³ + cx²+ dx + e

Part B: Closure property relates to polynomial;-

The polynomial's closer property for subtraction. When two polynomials of identical degrees with different leading coefficients are subtracted, a polynomial of the same degree is produced.

What is  Polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

A.

Any of the following can be the fourth degree polynomial with two terms:

f1(x) = ax⁴ + bx³

f2(x) = ax⁴ + cx²

f3(x) = ax⁴ + dx

f4(x) = ax⁴ + e

a ≠ 0  in all four instances.

Explanation. Because each of the aforementioned polynomials fi(x)-s can be written in the form of f(x) by setting blue0 equal to (c,d,e), (b,d,e), (b,c,e), and (b,c,d), respectively, each of the aforementioned polynomials is in standard form.

B.

The polynomial's closer property for subtraction. When two polynomials of identical degrees with different leading coefficients are subtracted, a polynomial of the same degree is produced.

Example.

Let r(x) be defined as a₁x³ + a₂x² + a₃x + a₄

s(x) is equal to b₁x³ + b₂x² + b₃x + b₄

where a ≠ 0 ≠ b and a ≠ b both belong to a set of real or complex numbers called ai and bi.

If this is how subtraction is defined, then

r(x) - s(x) = [a₁x³ + a₂x² + a₃x + a₄] - [b₁x³ + b₂x² + b₃x + b₄]

r(x) - s(x) = (a₁ - b₁)x³ + (a₂ - b₂)x² + (a₃ - b₃)x + (a₄ - b₄)

Given that (a₁ - b₁) ≠ 0, r(x) - s(x) is similarly a polynomial of fourth degree in this situation.
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The required numerical expression is evaluated as 67.2. Option A is correct.

Given that,
An expression is given 7.5 × 6.6 ÷ 0.6 − 15.3, we have to evaluate the given expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
= 7.5 × 6.6 ÷ 0.6 − 15.3
Simplify,
= 7.5 × 11 - 15.3
= 82.2 - 15.3
= 67.2

Thus, the required numerical expression is evaluated as 67.2. Option A is correct.

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The proportional relationship that gives the cost of x pounds of rice is given as follows:

y = 3x.

A proportional relationship is a special case of a linear function, with slope represented by k and intercept of 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:

y = kx.

In this problem, the input and the output are given as follows:

You can buy 3 pounds of rice for 9 dollars use, hence the constant representing the cost per pound is given as follows:

k = 9/3 = 3.

Hence the equation is:

y = 3x.

This problem is incomplete but we suppose that it asks for a proportional relationship giving the cost of x pounds of rice.

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Step-by-step explanation:

c + 1/2 × a²b = d | - c on both sides

1/2 × a²b = d - c | ×2 on both sides

a²b = 2(d - c) | /b on both sides

a² = (2/b) × (d - c) | sqrt on both sides

a = sqrt(2(d - c)/b)

yes, the given answer is correct.

In the expression, 8 + x squared minus 4 x cubed + 5 x + 2 x squared.

2x^2 and x^2 are the like terms

The given expression is 8 + x squared minus 4 x cubed + 5 x + 2 x squared

This is rewritten as

8 + x^2 - 4x^3 + 5x + 2x^2

The terms in the expression are grouped as

constant terms: 8

terms with x variable : 5x

terms with x^2 variables: 2x^2 and x^2

terms with x^3 variables: 4x^3

Like terms refers to terms that are similar either as a constants or have same variables

Hence the like terms in the expression is 2x^2 and x^2

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By solving  the equation  x² + 5x - 14 = 0 get the value of x is 2 or -7.

Given,

In the question:

To solve the equation:

x² + 5x - 14 = 0

Now, According to the question:

x² + 5x - 14 = 0

Split the middle term into two terms :

x² - 2x + 7x  - 14 = 0

Factor the first two terms and the last two terms separately

x(x - 2) + 7 (x -2) = 0

Factor out

(x - 2) (x + 7) = 0

Apply Zero Product Property

x - 2 = 0 or x + 7 = 0

x = 2 or x = -7

Hence, By solving  the equation  x² + 5x - 14 = 0 get the value of x is 2 or -7.

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Answer: 1.01% sale tax.

Step-by-step explanation:

First you must take your tax price before and the tax price after and divide them. This gets you 1.01.

To be sure this is your answer you can multiply the 1.01% by 53 and it gives you 53.53$ (If you don't understand I suggest looking at a video from khan academy they explain things much better than I do.)

Hope that helped in some way :)

Answer:

i = 7/2

ii = -7/3

Step-by-step explanation:

The line intersects one of the two axis when the vale of the other axis is 0

When x=0:

2y - 7 = 0

2y = 7

y = 7/2

When y = 0

-3x - 7 = 0

-3x = 7

x= -7/3

Answer:

x=21, m<s=95

Step-by-step explanation:

85+5x-10=180

75+5x=180

5x=105

x=21

m<S= 5(21)-10

m<S= 105-10

m<s=95

Answer:

117

Step-by-step explanation:

f(-9)=-9^2-5(-9)-9

f(-9)=81+45-9

f(-9)=126-9

f(-9)=117

hopes this helps please mark brainliest

Step-by-step explanation:

s = 17b

when b  =2:

s = 17b

s = 17(2)

s = 34

when b = 4

s = 17b

s = 17(4)

s = 68

Answer:

80

Step-by-step explanation:

first you need to substract 400 from 2000, then you divide the remaining by 20

Answer:

Y= -1/3x+11/3

Step-by-step explanation:

Answer: 60mL per minute

Step-by-step explanation:

300/5=60

Can I please get brainly?

Answer:

C) 480

Step-by-step explanation:

[tex]\sf \dfrac{3}{5}*800 = 3 * 160[/tex]

             = 480

24.15 as two significant figures is 24.

All significant figures are those that enhance the overall worth of the number's meaning. Numbers are frequently rounded to avoid repeating quantities that are not significant. When rounding, one must be careful not to lose precision. Sometimes the purpose of rounding numbers is simply to make them simpler.

Use the following guidelines to decide which numbers are important and which are not:

1) A decimal number less than 1 is not affected by the zero to the left of it.

2) The placeholders for all trailing zeros are all insignificant.

3. There should be significance between non-zero numbers.

4) Every non-zero number has meaning.

5) A number is rounded if it has more digits than the necessary number of significant ones. For instance, 432,500 is rounded up to 433,000 to three significant digits using the half-up (regular) method.

6) Zeros at the end of numbers that are not important but are left in because eliminating them would change the number's value. The 000 in 433,000 in the example above cannot be removed without converting the number to scientific notation.

Given the number, 24.15

We have to convert it to two significant figures, so we will consider the only two figures before the decimal point. So, the number up to two significant figures is 24.

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Answer:

2:1

Step-by-step explanation:

.5 kg : 250g

the units must be same at both sides

500g : 250g

{as 1 kg = 1000g}

by simplifying both sides

10g : 5g

2g : 1g

2:1

Option B is the correct answer, the interval in which the graph of the function is positive is -∞ < x < -1.

What do mean by interval?

In mathematics, a (real) interval is a collection of real numbers that includes all real numbers that fall inside any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1. The set of all real numbers, the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton are additional examples of intervals.

As we can see in the graph provided in the question, the graph of function reach the positive side of the y-axis at x = -1, it means one of the two end point of the interval is going to be -1. And, the graph is constantly and slowing increasing it's value as increase in the x-axis therefore, the other endpoint of the interval cab be considered as negative infinity.

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