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Marianna [84]
2 years ago
15

The sum of two consecutive even integers is -134 . What are the two numbers?

Mathematics
2 answers:
Mamont248 [21]2 years ago
7 0
2x + 2x+2 = -134
4x + 2 = -134
4x = -136 |: 4
x = -34

2x = 2 * (-34) = -68
2x + 2 = -68 + 2 = -66

This numbers are -66 and -68.
Alecsey [184]2 years ago
5 0
If we let x equal one of the numbers, and we let y equal the other number, we can define the equation as x+y=-134. Since we know, though, that the numbers are even and consecutive integers, we can say that y=x+2. We can then substitute our new value of y into the first equation which becomes x+x+2=-134. It can then be simplified as follows:
x+x+2=-134 \\ 2x+2=-134 \\ 2x=-136 \\ x=-68.
We have now solved for x, but we still need to know what y is, so we need the equation y=x+2 which we can evaluate and solve for y.
y=x+2 \\ y=-68+2 \\ y=-66
Now we have the two consecutive even integers whose sum is -134. They are -68 and -66.
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At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 3 soft drinks cost $25. Which two equations
olga_2 [115]

Answer:

 4x+6y=34\\\\4x+3y=25

Step-by-step explanation:

Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:

4x+6y=34   <em>[Equation 1]</em>

 The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=25 <em> [Equation 2]</em>

Therefore, the <em>Equation 1 </em>and the <em>Equation 2 </em>can be used to determine the price of a hamburger and the price of a soft drink

5 0
3 years ago
Steel loading ramps are used to load a
tia_tia [17]

Answer:

6.25 feet.

Step-by-step explanation:

Let L be the length of the ramp in feet.  

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,

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1 feet = 12 inches.

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RoseWind [281]

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Step-by-step explanation:

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8 0
2 years ago
What is the length of feet in 5 equal length of ribbon equaling 2 yards of ribbon
alisha [4.7K]
Am presuming you are asking for the length of each ribbon in feet.

5 of them = 2 yards.

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3 0
2 years ago
The money collected from selling bacon at a butcher store is given by the function f(x) = 3.55x – 4, where f(x) is the sales rev
Helga [31]

Answer:

See below under "Explanation".

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle f(x) = 3.55x - 4

\displaystyle x = \{ 17, 21, 24, 34 \}

<u>Step 2: Find Profit</u>

To find the <em>profit</em> the store makes each day, we <em>input</em> the number of customers that visited the store each day into our given function:

For the day that had 17 customers:

\displaystyle\begin{aligned}f(17) & = 3.55(17) - 4 \\& = 60.35 - 4 \\& = \boxed{56.35} \\\end{aligned}

∴ the butcher store made $56.35 when <em>17 customers</em> visited the store.

For the day that had 21 customers:

\displaystyle\begin{aligned}f(21) & = 3.55(21) - 4 \\& = 74.55 - 4 \\& = \boxed{70.55} \\\end{aligned}

∴ the butcher store made $70.55 when <em>21 customers</em> visited the store.

For the day that had 24 customers:

\displaystyle\begin{aligned}f(24) & = 3.55(24) - 4 \\& = 85.2 - 4 \\& = \boxed{81.2} \\\end{aligned}

∴ the butcher store made $81.20 when <em>24 customers</em> visited the store.

For the day that had 34 customers:

\displaystyle\begin{aligned}f(34) & = 3.55(34) - 4 \\& = 120.7 - 4 \\& = \boxed{116.7} \\\end{aligned}

∴ the butcher store made $116.70 when <em>34 customers</em> visited the store.

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Learn more about functions: brainly.com/question/27710450

Learn more about Algebra I: brainly.com/question/27710380

---

Topic: Algebra I

3 0
2 years ago
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