Matthew’s mother asked him to go to the store for her.To get to the store,he walked seven city blocks.He caught the bus and rode 13 blocks.He got off and walked one and a half blocks to the store.He purchased the ítems his mother wanted and returned home the same way.How Many total blocks did he travel?

To rewrite one equation like x = 4 - y into ax + by = c form, we adjusted it to x + y = 4. Then, we combined it with the unchanged equation y = 2x + 3 by substituting 'y' in the first equation with 'y' from the second, leading to 3x + 3 = 4, a one-variable equation.

To rewrite one of the two equations into the form ax + by = c, it's essential to start by having an equation that resembles y = a + bx (which is the same as y = mx + b, the conventional form for a linear equation) and the other in any format initially. Let's assume these equations as the existing ones: y = 2x + 3 and x = 4 - y.

Step 1: Transform the equation x = 4 - y into the form ax + by = c.

Firstly, shift y to the left side of equation by adding 'y' to both sides:

x + y = 4,

That's it! We now have the equation in the required ax + by = c format, where a = 1, b = 1 and c = 4.

Step 2: Add this new equation to the unchanged equation.

x + y = 4 (New one after rearranging)

y = 2x + 3 (Unchanged equation)

By substituting y from the second equation into the first, it will result in an equation in one variable:

x + (2x + 3) = 4,

After simplifying the equation, we get

3x + 3 = 4,

That is the result as an equation in one variable.

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1. rational number

2. percent

3. least common denominator

4. proportion

5. percent proportion

I am positive that these numbers are correct.

1 is rational number

2 is percent

3 is least common denominator

4 is proportion

5 is percent proportion

128 ounces and 16 cups

64÷8=8

64 1/2 gallon

8 cups

6/2 =3

18/3 = 3

(18-6)/((6-2)= 12/4 =3

True

6/2=3

18/6=3

The answer is True

x^2 - 14x = 14

x^2 - 14x + 49 = 63

(x - 7)^2 = 63

x - 7 = √63

x = 7 ± √63 is the solution set to the provided equation.

Answer:

The simplified form of given expression is [tex]x^2+4x-21[/tex].

Step-by-step explanation:

The given expression is

[tex](x-3)(x+7)[/tex]

Here, we have to factors (x-3) and (x+7).

Factor (x-3) has two terms x and -3. Write these terms in first row.

Factor (x+7) has two terms x and 7. Write these terms in first column.

Now, find the elements of the table by multiplying corresponding rows and columns.

The elements of the table are x², -3x, 7x, -21.

Now, add all these elements.

[tex]x^2-3x+7x-21=x^2+4x-21[/tex]

Therefore the simplified form of given expression is [tex]x^2+4x-21[/tex].

The solution of expression is,

p = 2/5

We have to given that,

An expression to solve,

3 (5p - 3) = 5 (p - 1)

Now, We can simplify as,

3 (5p - 3) = 5 (p - 1)

Apply distributive property, we get;

15p - 9 = 5p - 5

15p - 5p = 9 - 5

10p = 4

p = 4/10

p = 2/5

Therefore, The solution of expression is,

p = 2/5

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7 divided by 7 equals 1. So, 7 divided by 1 equals 7.

Hope this helps.

Answer:

49

Step-by-step explanation:

7 squared is 49. 49 divided by 7 = 7

27 issssssssssss the eeeeee mean

23%

23 / 100

if that is right your welcome

To decide which one is the better deal, you need to compare them on price per ear. So, the the first vendor is $2.56/8ears= $0.32/ear

the second vendor: $4.32/12 = $0.36/ear

The first vendor with the bag of 8 ears is the better deal!

Answer:

The better deal is first vendor bag.

Step-by-step explanation:

Given : A corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.32.

To find : Which bag is the better deal?

Solution :

To compare which is better we find the unit rate of both vendor rate.

The selling price of first vendor of 8 ears of corn for $2.56.

The selling price of 1 bag is [tex]\frac{2.56}{8}[/tex]

The selling price of 1 bag is $0.32.

The selling price of second vendor of 12 ears of corn for $4.32.

The selling price of 1 bag is [tex]\frac{4.32}{12}[/tex]

The selling price of 1 bag is $0.36.

The unit price of first vendor bag is lower than second vendor.

So, the better deal is first vendor bag.

You can just write anything really

Statement: If David likes to do math then he is a good student.

Hypothesis: David likes to do math

Conclusion: He is a good student.

It's basically a if then statement

[tex]a_{6}[/tex] = 33

the n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d, hence

[tex]a_{6}[/tex] = 13 + (5 × 4 ) = 13 + 20 = 33

The sixth term (a₆) is 33 in the arithmetic sequence.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

In arithmetic, sequence d represents the common difference.

Where aₙ is the nth term of the sequence and a₁ is the first term

We have been given that a₁ = 13 and d = 4 in an arithmetic sequence,

Substitute the values in the formula,

⇒ a₆ = 13 + (5 × 4)

⇒ a₆ = 13 + 20

⇒ a₆ = 33

Therefore, the sixth term is 33 in the arithmetic sequence.

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The equation which represent the number you are thinking x = (1/2)x + 5 your number is 10.

Let's represent the number you are thinking of as "x."

According to the given information, your number is 5 more than one-half of your number. Mathematically, this can be written as:

x = (1/2)x + 5

The equation x = (1/2)x + 5 represents the situation where your number is 5 more than one-half of your number. To find the value of your number (x), you can solve this equation:

Subtract (1/2)x from both sides to isolate x:

x - (1/2)x = (1/2)x + 5 - (1/2)x

(1/2)x = 5

Now, multiply both sides by 2 to get rid of the fraction:

2 * (1/2)x = 2 * 5

x = 10

So, your number is 10.

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What I do is to add up the hundreds and tens in my mind first:

130 + 90 + 160 = 380

and then add the small change:

7.50 + 2.50 + 2.50 = 12.50

and add it back to the first amount

392.50

Its $392.50

All you have to do is add $137.50 + $92.50 + $162.50 = $392.50

Hope the answer helps!

Answer:

33

Step-by-step explanation:

the answer is 5/100 because its in the hundreths place but it simplifies down to 1/20

thank you for your time and please mark brainliest

6x - 10(x + 12) = -4x - 24

Distributive property.

6x - 10x - 120 = -4x - 24

Add 10x to both sides.

6x - 120 = 6x - 24

Cancel like terms.

Add 24 to both sides.

-96 ≠ 0.

This equation is incorrect, as -96 will never be equal to 0.

Answer:

C) 3x^2 + 20x + 12 = 0

Step-by-step explanation: Because it is the right answer

What are the solutions to the equation?

A. x = -6 and x = -2/3

Step-by-step explanation:

this was a second part to the question for me so i decided to give u guys it as well, incase u come across it

Answer:  The correct option is (D) 22.

Step-by-step explanation:  We are given to find the value of x from the given figure.

From the figure, we see that a triangle is shown where the measure of an external angle is (6x + 1)° and the measures of the two remote interior angles are 79° and (2x + 10)°.

Since the sum of the measures of two remote interior angles of a triangle is equal to the measure of the external angle, so we get

[tex]79^circ+(2x+10)^\circ=(6x+1)^\circ\\\\\Rightarrow 79+2x+10=6x+1\\\\\Rightarrow 6x-2x=88\\\\\Rightarrow 4x=88\\\\\Rightarrow x=\dfrac{88}{4}\\\\\Rightarrow x=22.[/tex]

Thus, the required value of x is 22.

Option (D) is CORRECT.

y = 6 - 3x

x + y = 62

Since we already know the value of y, we can use substitution to find the value of x.

x + 6 - 3x = 62

Subtract 6 from both sides.

x - 3x = 56

Combine like terms.

-2x = 56

Divide both sides by -2

x = -28

Now that we know the value of x, we can solve for the value of y.

x + y = 62

-28 + y = 62

Add 28 to both sides

y = 90

The value of y is 90, and the value of x is -28 (this is your answer)

To make sure that these values are correct, we can plug them into the original equations.

y = 6 - 3x

x + y = 62

90 = 6 - 3(-28)

90 = 90 √ this is correct

-28 + 90 = 62

62 = 62 √ this is also correct

Final answer:

Using a system of linear equations, we find that the two numbers in question are 45 and 17.

Explanation:

Let's call the first number x and the second number y. According to the problem, one number (x) is 6 less than 3 times another number (y). So we can write this as an equation: x = 3y - 6.

The problem also states that their sum is 62. This gives us a second equation: x + y = 62.

Now, we have two equations:

x = 3y - 6 (Equation 1)

x + y = 62 (Equation 2)

To find the values of x and y, we can substitute the expression for x from Equation 1 into Equation 2, giving us:

(3y - 6) + y = 62

Simplifying, we have:

4y - 6 = 62

Adding 6 to both sides:

4y = 68

Dividing by 4:

y = 17

Now that we have the value for y, we can substitute it back into Equation 1 to find x:

x = 3(17) - 6

x = 51 - 6

x = 45

Therefore, the two numbers are 45 and 17.

8 - x < 5      |-8

-x < -3       |change the signs

x > 3

He saves $20 i did this and i got the right answer. hope this helps mark me as brainliest

Answer:

c  100

Step-by-step explanation:

Using the long divison method, the remainder when x⁴ + 36 is divided by x² - 8 is 100

_____x²+8

___________

x² - 8 | x⁴ + 36

____ | x⁴ - 8x²

-________8x² + 36

-________8x² - 64

___________100

The remainder is calculated as (36 - (-64)) = (36 + 64) = 100

Therefore, the remainder is 100

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