A phone company uses the equation y = 0.15x + 10 to find y, the monthly charge for a customer sending x text
messages. How many text messages are sent if the monthly charge is $77.50?

Answer:

The solution is (2 , -1)

Step-by-step explanation:

* You have two ways to solve the system of equations

1. Elimination method:

By making the coefficients of one of the two variables equal in the 2

equations in magnitude and different in sign to eliminate it and find the

other variable

2. Substitution method:

By finding one of the two variables in terms of the other in one of the

two equations and substitute this value in the second equation

* Lets solve our system using the elimination method

∵ 6x + 7y = 5 ⇒ (1)

∵ 2x - 3y = 7 ⇒ (2)

- Multiply equation (2) by -3 to eliminate x

∵ (-3)(2x) - (-3)(3y) = (-3)(7)

∴ -6x + 9y = -21 ⇒ (3)

- Add equation (1) and (3)

∴ 7y + 9y = 5 + -21

∴ 16y = -16

- Divide each side by 16

∴ y = -1

- Substitute the value of y in equation (1)

∴ 6x + 7(-1) = 5

∴ 6x - 7 = 5

- Add 7 to both sides

∴ 6x = 12

- Divide both sides by 6

∴ x = 2

* The solution is (2 , -1)

Answer:

Both cards are the same value.

Step-by-step explanation:

$10 for 200 points = $5 for 100 points

$15 for $300 points = $5 for $100 points

Both cards are the same value.

Final answer:

The missing value in the data set that will preserve the median of 28.5 is 32. This is found by averaging the middle two numbers of the six-number series, solving the equation (25 + missing value)/2 = 28.5.

Explanation:

Calculating the Missing Value in an Ordered Data Set

To determine the missing value in an ordered data set when given the median, you should remember that the median is the middle number in a sorted list of numbers. If the data set has an even number of values, the median is the average of the two middle numbers. For the set 7, 12, 25, _, 41, 50, where the median is given as 28.5, the missing value must be the average of the third and fourth terms since the data set should have six numbers total.

To find the missing value, set up the equation for the median: (25 + missing value)/2 = 28.5. Solve for the missing value:
(25 + missing value) = 28.5 × 2
missing value = (28.5 × 2) - 25
missing value = 57 - 25
missing value = 32

The missing value in the data set to maintain a median of 28.5 is 32.

Answer:

18q

Step-by-step explanation:

18 times q = 18q, thats all

The statement 2 + (3 + 4) = 2 + (4 + 3) is the one that uses the commutative property of addition, which states that changing the order of numbers being added does not affect the sum. So correct answer is first option.

The statement that uses the commutative property of addition is 2 + (3 + 4) = 2 + (4 + 3). The commutative property of addition states that the order in which two numbers are added does not change the sum.

This is represented by the equation A+B=B+A. In our specific example, changing the order of 3 and 4 does not affect the sum when added to 2.

This demonstrates the commutative property in a clear manner.

4(1-2b)+7b-10

mutiply the bracket by 4

(4)(1)= 4

(4)(-2b)=-8b

4-8b+7b-10 ( combine like terms)

4-10-8b+7b

-6-b or -b-6

Answer: -6-b or -b-6

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 4(1-2b)+7b-10 when simplified can be written as -(6+b).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 4(1-2b)+7b-10 can be simplified as,

4(1-2b)+7b-10

= 4 - 8b + 7b - 10

= -6 - b

= -(6+b)

Hence, the given expression 4(1-2b)+7b-10 when simplified can be written as -(6+b).

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Final answer:

The value of the expression m² + 3m when m=4 is found by squaring the m and then multiplying m by 3, which gives a final value of 28.

Explanation:

The value of the expression m² + 3m when m=4 is calculated by substituting the value of m into the expression. First, we take m which is 4, and square it (4²=16), then we multiply m by 3 (3*4=12). Adding these two results together (16+12), we get the final value of the expression.

Step-by-step solution:

m² + 3m

4²+ 3*4

16 + 12

The resulting value is 28.

Answer:

The value of p is 6

Step-by-step explanation:

we know that

In a parallelogram opposite angles are congruent

so

In the parallelogram ABCD

m∠A=m∠C ----> equation A

m∠B=m∠D ----> equation B

we have

m∠A=(4p+12)°

m∠C=36°

substitute the given values in equation A and solve for p

[tex](4p+12)\°=36\°[/tex]

[tex]4p=36-12[/tex]

[tex]4p=24[/tex]

[tex]p=6[/tex]

Answer:

6

Step-by-step explanation:

Answer:

B)  ( x +  3y)²

Step-by-step explanation:

u = x + y    ;  v =  x + 5y

uv = ( x + y ) * ( x + 5y)                

    = x * ( x + 5y) + y * (x + 5y)                    [ x * ( x + 5y) = x*x + x*5y = x² + 5xy]

    = x² + 5xy  + xy  + 5y²

   uv  = x² + 6xy + 5y²----------equ 1

v - u =   x + 5y - ( x+y)

       = x + 5y - x - y

       =  4y

(v-u)² = (4y)² = 16y²

[(v-u)/2]² = 16y² / 2²

              = 16y² / 4 = 4y²

[(v-u)/2]² =  4y²     ----------- equ 2

uv + [(v-u)/2]² = x² + 6xy + 5y² + 4y²      ( from equ 1 and equ 2)

                     = x² + 6xy + 9y²

                     = ( x +  3y)²

Answer:

C. Lourdes found m∠D + m∠F.

Step-by-step explanation:

70° + 35° = 105°

This is the Angle Addition Postulate of ∠F and ∠D.

I am joyous to assist you anytime.

The mistake Lourdes did is Lourdes found m ∠ D + m ∠ F. (option C)

Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.

Given that, line y is parallel to line EF. Lourdes used the diagram to find that m1 = 105°.

There are many ways to m ∠ 1

A) Since, m ∠ 1, m ∠ 2 and 70° are in straight line, therefore, they are making a linear pair, that mean,

m ∠ 1 + m ∠ 2 + 70° = 180°

Now, m ∠ 2 = 35° (alternate interior angles)

Therefore,

m ∠ 1 + 35° + 70° = 180°

m ∠ 1 = 75°

Therefore, Lourdes's 1st way is correct.

B) If she uses m ∠ 1 = m ∠ E,

That is also correct because, m ∠ 1 and m ∠ E are a pair of alternate interior angles.

C) If she is using m ∠ D + m ∠ F,

She is missing a step in it, after adding m ∠ D and m ∠ F she needs to subtract the sum from 180, because the sum of interior angles of a triangle is 180°, and if she needs to find m ∠ E to find m ∠ 1 then she needs to subtract the sum of m ∠ D and m ∠ F from 180°.

D) As we discussed in option third, in this option Lourdes is subtracting the sum from 180, hence, she is correct here.

Hence, the mistake Lourdes did is Lourdes found m ∠ D + m ∠ F. (option C)

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Answer:

[tex]\frac{7}{2b}[/tex]

Step-by-step explanation:

[tex]\frac{1}{b\frac{2}{7}}[/tex]

[tex]\frac{1}{\frac{2b}{7}}[/tex]

[tex]\frac{7}{2b}[/tex]

Answer:

12 + 20 = 4x3 + 4x5 = 4x(3 + 5)

Step-by-step explanation:

The distributive property states that

a*(b + c) = a*b + a*c

You can use the distributive property in reverse to factor out a common factor from the sum of 2 numbers. If you realize that 12 = 4*3 and 20 = 4*5 then you can write

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)

12(18+2)

that’s the answer yall

Answer:

No. 16 is and 25 is.

Step-by-step explanation:

Final answer:

The number 20 is not a perfect square because there is no integer that when multiplied by itself equals 20.

Explanation:

The question "is 20 a perfect square" is related to Mathematics and involves understanding what constitutes a perfect square. A perfect square is a number that can be expressed as the product of an integer with itself. In other words, when you multiply an integer by itself, the resulting product is a perfect square. For example, the number 16 is a perfect square because it can be expressed as 4 times 4.

To determine if 20 is a perfect square, we look for an integer that when multiplied by itself equals 20. However, multiplying 4 by 4 gives us 16, and multiplying 5 by 5 gives us 25. Since there is no integer that can be multiplied by itself to give 20, we conclude that 20 is not a perfect square.

Answer:

133

Step-by-step explanation:

127 + 16 = 133

Answer:

E and F

Step-by-step explanation:

They are the only ones which use the appropriate triangle angles and points.

Have a nice day!!!!!!!! :-)

KA

E. ΔDMR & F. ΔMRD are valid names of the triangle.

We know that, a triangle has 3 vertices.

Name of a triangle is always with the name of the vertices together in a clock or anticlockwise manner.

Example : If vertices of a triangle are A, B & C, then name of the triangle are like ΔABC, ΔBCA, ΔCAB, ΔBAC, ΔACB, ΔCBA.

Here, in the given diagram, vertices of the triangle are D, M, R

So, the names ΔDMR & ΔMRD are correct in all the options, others are not names of vertices, so they are not taken.

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the  answer is f (-3x - 22) = -6x - 33

Answer:

Step-by-step explanation:

1 Simplify brackets.

-3,9=-3,9,-3,-5−3,9=−3,9,−3,−5

2 Since -3,9=-3,9,-3,-5−3,9=−3,9,−3,−5 is false, there is no solution.

No Solution

Done

Answer: 51.1 units squared

Step-by-step explanation: the area of each face is 306.6 so then you would divided that by 6 since there are 6 sides in a cube so you get 51.1 and if multiplied by 6 it equals 306.6

The area of each face of a cube 306.6 is 51.1 square units.

A solid three-dimensional shape called a cube contains six square faces, eight vertices, and twelve edges.

A cube has 6 faces.

So the area of each face is (side x side).

So total area is equal to 6 times the area of each side.

Area = 6 x (side x side)

Now, substitute in your numbers and solve for the side length

306.6 = 6 (side)²

so first divide both sides by 6,

we get,

(side)² = 51.1

Therefore, the area of each face is 51.1 square units.

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Answer:

see explanation

Step-by-step explanation:

We can express 5 × 23 as

5(20 + 3) ← distribute terms in parenthesis by 5

= 5 × 20 + 5 × 3

= 100 + 15

= 115

By distributive property , the number 5 x 23 = 115

What is Distributive Property?

The distributive property states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend individually by the number and adding the products together.

For a product of two numbers , a and d , d = b + c

By distributive property ,

a x ( b + c ) = a x b + a x c

Given data ,

Let the number be 5 x 23

Now , the number 23 can be split into ( 20 + 3 )

By opening the parentheses ,

5 x ( 20 + 3 )

The number 5 is first multiplied by 20 and then multiplied by 3 , and the sum of both the products will be taken

So ,

5 x 23 = 5 ( 20 + 3 )

5 x 23 = 5 ( 20 ) + 5 ( 3 )

5 x 23 = 100 + 15

5 x 23 = 115

Hence , by distributive property the product 5 x 23 is 115

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Good evening ,

______

Answer:

A. x=all real numbers.

D. x = [tex]\frac{2-np}{2}[/tex]

___________________

Step-by-step explanation:

25-5x=5(-x+5)

25-5x=-5x+25

25-5x=25-5x

Then this equation is valid for all real number x

Note : If you replace x by any number you will get 0 = 0 and that always true.

:)

Answer:

a

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

in geometry, the hexagonal prism is a prism with hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices. Since it has 8 faces, it is an octahedron. However, the term octahedron is primarily used to refer to the regular octahedron, which has eight triangular faces.

(se poquito de espanol, lo lamento)

Answer:

63

Step-by-step explanation:

51 - ( - 12)        (-)(-)=(+)

51  +  12

  63

Answer:

63

Step-by-step explanation:

The question says 51 +12 becase two negatives make a positive.

Answer:

130

Step-by-step explanation:

40 percent of what number is 52?

let this number be x

so, the equation is

40/100 x X= 52

divide 40/100 from both sides

X=52÷40/100

When you divide by a fraction, you multiply by its reciprocal

X=52 x 100/40

X=5200/40

X=130

40 percent of 130 is 52.

The value of the unknown number is 130.

Option A.

Given the parameter:

"40% of what number is 52"

Let's represent the unknown number as "x."

To determine the number for which 40% is equal to 52, we can set up an equation and solve for the unknown number.

Hence:

40% of the number = 52

40% of x = 52

40% × x = 52

Convert the percentage to a decimal.

40% = 40/100 = 0.40

Now, rewrite the equation as:

0.40 × x = 52

0.4x = 52

To solve for the value of "x," divide both sides of the equation by 0.40:

x = 52/0.4

x = 130.

Therefore, 40 percent of 130 is 52.

Option A) 130 is the correct answer.

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Answer:

$12,162.68

Step-by-step explanation:

It's compounded monthly.  3 years is 36 months.

A = P (1 + r)^n

A = 5000 (1 + 0.025)^36

A ≈ 12162.68

Rounded to the nearest cent, her exact account balance would be $12,162.68.

Answer:

Have u tried to look it up

Step-by-step explanation:

Answer:

q=5/6

Step-by-step explanation:

16q-10=4q

16q-4q=10

12q=10

q=5/6

Answer:

What does X352 4/56=

https://brainly.com/question/22791142?utm_source=android&utm_medium=share&utm_campaign=question

im guessing [tex]\sqrt[5]{x}[/tex]

Answer:

Step-by-step explanation:

1. The appropriate "dimensional analysis" is ...

[tex]\dfrac{2.9\,ft}{1\,day}\cdot\dfrac{12\,in}{1\,ft}\cdot\dfrac{1\,day}{24\,h}=\dfrac{2.9\cdot 12\cdot 1\,day\cdot ft\cdot in}{1\cdot 1\cdot 24\,day\cdot ft\cdot h}=1.45\dfrac{in}{h}[/tex]

__

2. Aaron used the inverse of the correct days to hours conversion factor. The units he ends up with are in·h/day², not in/h. And the calculation he did does not match the expression he wrote.