Three times a number decreased by 1 is 10 Three times the difference of a number is 1 is 10One less than three times a number is 10The quotient of a number and 3 is 10

We expect the variable to have a negative correlation.

This means that the more we use the phone the lower the charge will be.

5 quarters, 3 dimes, 7 nickels

Let the number of quarters in the jar = q

Let the number of dimes in the jar = d

Let the number of nickels in the jar = n

1 quarter = $0.25

1 dime = $0.1

1 nickel = $0.05

The jar is filled with quarters, dimes, and nickels, totaling $1.90

This can be represented mathematically as:

0.25q + 0.1d + 0.05n = 1.90.........(1)

There are two more quarters than dime:

q = d + 2..............(2)

There are two more nickels than quarters

n = q + 2..............(3)

make d the subject of the formula in equation (2)

d = q - 2............(4)

Substitute equations (3) and (4) into equation (1)

0.25q + 0.1(q - 2) + 0.05(q + 2) = 1.90

0.25q + 0.1q + 0.05q - 0.2 + 0.1 = 1.90

0.4q - 0.1 = 1.90

0.4q = 1.90 + 0.1

0.4q = 2.0

q = 2.0/0.4

q = 5

n = q + 2

n = 5 + 2

n = 7

d = q - 2

d = 5 - 2

d = 3

There are 5 quarters, 3 dimes, 7 nickels

Use a graph to find the length of DE if D(4, -3) and E(-5, -7) in pythagoras theorem.​

we know that

Applying the Pythagorean Theorem

DE^2=DEx^2+DEy^2

DEx -----> is the distance in the x-coordinate

DEy -----> is the distance in the y-coordinate

DEx=(-5-4)=-9 ------> subtract the x-coordinates

DEy=(-7+3)=-4 -----> subtract the y-coordinates

substitute in the formula

DE^2=(-9)^2+(-4)^2

DE^2=97

c^2=a^2+b^2

c -----> is the distance DE

a ----> horizontal leg

b ----> vertical leg

we have

a=(-5-4)=-9 ------> subtract the x-coordinates

b=(-7+3)=-4 -----> subtract the y-coordinates

substitute

c^2=(-9)^2+(-4)^2

c^2=97

Let's use distributive property to simplify:

Now we add up the x's and take number to another side:

We make 2 and one-sixth into improper fraction and divide to get x:

x is "minus 210 over thirteen"

Explanation:

We will find the expression for each space in the following order

To find the first expression, we need to find a number that multiplied by 6 is equal to 18. This number is 3 because

6 · 3 = 18

Then, for the second space, we need to factorize the expression 36x² + 144x + 108 as follows

36x² + 144x + 108 = 8(2x² + 8x + 6)

So, the expression that multiplied to 8 is (36x² + 144x + 108) is (2x² + 8x + 6).

The third space can be calculated by factorizing 2x² + 8x + 6 as

2x² + 8x + 6 = (x + 3)(2x + 2)

Therefore, the expression in the third space is (2x + 2)

Finally, for the fourth and fifth space, we need to multiply the expression to the left, so

6(2x + 2) = 6(2x) + 6(2) = 12x + 12

3(x + 3) = 3(x) + 3(3) = 3x + 9

Answer

Therefore, the answer is

Answer:

320×10³

Step-by-step explanation:

This is the standard form for the number 320000

hope it helps

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Given:-

To find the simplified value when b=48 and c=7.

So now we simplify the solution by substituting the values of b and c in the given equation and get the required solution.

So now we simplify. so we get,

So the simplified solution is 114.

Answer:

The number is -18

Explanation:

-6 subtracted from a number equals -12.

We want to find the value of the number

Let the number be x

We can write the statement mathematically as:

Solving this equation, the value of x is the number we are required to find.

The said number is -18

Answer

y can take on any real number value except around 1 < y < 3 where none of the graphs have values around this region.

Hence, this is the range of the graph.

Explanation

The range of a function refers to the region of values where the fumction can exist. It refers to the values that the dependent variable [y or f(x)] can take on.

From the graph attached to this question, we can see that the function has different forms at different values of x.

But it is also evident that y can take on any real number value except around

1 < y < 3 where none of the graphs have values around this region.

Hence, this is the range of the graph.

Hope this Helps!!!

1. The scholar made a mistake in the last step

where he said x=3.5

SCHOLA DIVIDED 7 BY 2 INSTEAD OF DIVIDING BY 0.5

[tex]0.5x = 7 \\ \frac{0.5x}{0.5} = \frac{7}{0.5} \\ x = 14

AS A RESULTS GOT WRONG ANSWER . x is supposed to be 14.

Answer:

Step by step explanation:

The resulting expression using the distributive property of multiplication over subtraction is 3(12) - 3(10).

The distributive property of binary operations extends the distributive law, which states that in elementary algebra, equality is always true.

For instance, given the expression;

A(B - C)

We will have to distribute A over B and C to have;

A(B - C) = AB - AC

Applying the rule to the given expression

3 (12 - 10)

3(12) - 3(10)

This shows that the given expression can also be written as 3(12) - 3(10)

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The rational number between -1/3 and 1/-2 could be;  -6 / 18, -6/12.

Natural numbers are: 1, 2, 3, ..Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5). Irrational numbers are those real numbers which are not rational numbers.

We are asked to find that rational number between -1/3 and 1/-2.

LCM of 3 and 2

3 x 2 = 6

Then we get;

-1/3 x 6/6 = -6 / 18

1/-2 x 6/6 = -6/12

Hence, the rational number between -1/3 and 1/-2 could be;  -6 / 18, -6/12.

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Answer:

Step-by-step explanation:

To find the x-intercepts factor the function to the simplest form:

As we can see the zeros to the function would be 1 and -3, then its:

Zero has a "multiplicity", which refers to the number of times that its associated factor appears in the polynomial. Therefore, this function has multiplicity:

For the end behavior:

down/up

As x approaches infinity f(x) approaches infinity

As x approaches -infinity f(x) approaches -infinity

The complete table using the given linear equation is x y

-4 -4

-2 0

0 4

2 8

A linear equation is one that has the form Ax+By=C. This definition comes from mathematics. It consists of two variables combined with a constant value that exists in each of them.

The values of the variables will be obtained when the system of linear equations is solved; this is referred to as the solution of a linear equation.

Given the linear equation y = 2x + 4

If x = -4

y =2(-4) + 4

y = -4

If x = -2

y =2(-2) + 4

y = 0

If x = 0

y =2(0) + 4

y = 4

If x = 2

y =2(2) + 4

y = 8

Hence the complete table using the function is

x y

-4 -4

-2 0

0 4

2 8

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Complete question

Fill in the table using this function rule. y=2x -4

x y

-4 ?

-2 ?

0 ?

2 ?

Given:

A graph is given.

Required:

Find the interval of the domain that the graph of exponential function represents.

Explanation:

The graph of the exponential function is given as:

Given a quadratic equation of the form:

The equation of the axis of symmetry is obtained using the formula:

From the given quadratic equation:

Therefore, the equation of the axis of symmetry of g(x) is:

The correct option is B.

The formula is

To solve for b, first, we multiply the equation by 2

Then, we divide the equation by h

At last, we subtract a from each side

The GCF of the expression 6x+18/x^2-x-12 is (x+3)

The GCF (Greatest Common Factor) of two or more numbers or expressions is the greatest number or expression among all the common factors of the given numbers or expressions

Given 6x+18/x²-x-12

We can write  6x+18/x²-x-12 as:

6x+18/x²-x-12 = 6x+18/x²-4x+3x-12          By factorization:

                       = 6(x+3) / (x+3)(x-4)

Since (x+3) is common to both the numerator and the denominator. Therefore, the greatest common factor (GCF)  is (x+3)

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Given the equation of a line in Point-Slope Form:

You need to rewrite it in Slope-Intercept Form:

Where "m" is the slope of the line and "b" is the y-intercept.

Then, you have to solve for "y":

1. Apply the Distributive Property on the right side of the equation. Remember the Sign Rules for Multiplication:

Then:

2. Apply the Subtraction Property of Equality by subtracting 2 from both sides of the equation:

Hence, the answer is:

The given information is:

- 3 tablespoons of the concentrate should be mixed with 4 gallons of water.

The ratio of tablespoons to gallons of water is:

Then, we can apply proportions to find how many tablespoons of concentrate need to be mixed with 5 gallons of water, so:

It is needed 3.75 tablespoons of the concentrate.

Answer:

D. 1/4

Explanation:

When the coordinates of A, B, and C are multiplying by 1/4 we get A', B', and C'.

For example,

The same goes for B and C.

Hence, the transformation that gives us A'B'C' from ABC is Choice D DIlation using k = 1/4.

Answer:

The difference is aproximately 3700.

Step-by-step explanation:

First, we'll round each number to the nearest hundred:

Now, we can estimate the difference:

This way, we can conlcude that the difference is aproximately 3700.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

ΔRST

RS ≅ TR

∠ T = 15

∠ S = ?

Step 02:

We must apply the properties of isosceles triangles.

∠ T = ∠ S = 15

The answer is:

∠ S = 15 °

The formula for the area of a hexagon is

where 's' is the length of one side of the regular hexagon.

The side of our regular hexagon is 2 feet, therefore, its area is

The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².

6, 22, 17

Step 1: writing the equation

We have a triangle with sides n, 4n - 2, and 4n - 7

We obtain its perimeter if we add all its sides:

n + 4n - 2 + 4n - 7

Since the perimeter is 45 cm, then:

n + 4n - 2 + 4n - 7 = 45

combining like terms:

n + 4n +4n = 9n

and

-2 - 7 = -9

then, we have:

n + 4n - 2 + 4n - 7 = 45

↓

9n - 9 = 45

Step 2: finding n

Now we solve the equation:

9n - 9 = 45

↓ taking -9 to the right

9n - 9 + 9 = 45 + 9

9n = 54

↓ taking 9 to the right

n = 54/9 = 6

Then, n = 6

Step 3: sides measure

Since the measure of the first side is given by n,

then its length is

n = 6

SInce the measure of the second side is given by 4n-2,

then its length is

4n - 2 = 4 · 6 - 2

= 24 - 2

= 22

SInce the measure of the third side is given by 4n - 7,

then its length is

4n - 7 = 4 ·6 - 7

= 24 - 7

= 17

That is why the measures are 6, 22 and 17.

We know we're dealing with two dice. Since each die has 6 different possibilities, the outcomes of rolling two dice are given by:

6 × 6, which is 36. This will be our denominator.

How many ways can we get 9 or 12 with two dices?

For a sum of 9:

3 + 6 = 9

4 + 5 = 9

There are two possibilities.

For a sum of 12:

6 + 6 = 12

There is only one possibility.

Summing it up, there are 3 possibilities to get a sum of 9 or 12 with the two dice.

The events are independent events since neither of them can ever occur at the same time.

Thus, the probability will be:

We get,

Therefore, the probability is 1/12.

Mass=79gram

Volume=10ml

density=Mass/Volume

we have that

the formula to calculate the area of a rectangle is equal to

A=L*W

we have

L=8.3 cm

W=4 cm

substitute

A=(8.3)*(4)

A=33.2 cm2

therefore

Formula A=L*W

Expression A=(8.3)*(4)

Solve A=33.2 cm2

the coefficient is the number that accompanies the variable, so:

The coefficient is 7