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Rom4ik [11]
2 years ago
9

an electrician charges a set fee of $150 for every house call and then charges an additional $70 per hour. write an equation for

c, in terms of t, representing the total cost of the electricians services if the electrician spends t hours at the house working.​
Mathematics
2 answers:
Artyom0805 [142]2 years ago
4 0

Answer:

y = 70x + 150

Step-by-step explanation:

y-intercept: 150

slope: 70x

Let x represent the amount of hours the electrician spent in the house.

enot [183]2 years ago
3 0

Answer:

C=150+70t

Step-by-step explanation:

In this equation, C stands for the total cost, and t stands for the number of hours worked. Since 150 is a set fee it must be a constant in the equation and to must be added to the hourly cost. 70 must be multiplied by t because the electrician charges 70 dollars for every hour he works. Then, both the set fee plus the hourly fee together equal the total cost.

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Which proportion can you use to find the value of a?
Ugo [173]

<u>Given</u>:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

The length of the leg is a.

The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

<u>Proportion to find the value of a:</u>

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

\frac{18}{a}=\frac{a}{16}

Thus, the proportion used to find the value of a is \frac{18}{a}=\frac{a}{16}

Hence, Option D is the correct answer.

6 0
3 years ago
Find the value of x that makes m|n.<br> m<br> (6x + 10)<br> (2x + 26)<br> The value of x is ?
olga nikolaevna [1]

Answer:

x is 9

Step-by-step explanation:

6x+10=2x+26

-2x          -2x

4x+10=26

   +10  +10

4x=36

---   ---

4    4

x=9

8 0
3 years ago
expresa en lenguaje algebraico: la suma de los cuadrados de las edades de maria y miriam, si se sabe que maria tiene el doble de
Anna71 [15]

The sum of the squares of their ages is; 5x²

<h3>How to Solve Algebraic Word Problems?</h3>

We are told that Maria is twice the age of Miriam.

Now, of the age of Miriam is x, then we can say that;

Age of Mariam = x

Age of Maria = 2x

Now, we want to find the sum of the squares of their ages. Thus, this is expressed as;

x² + (2x)²

= x² + 4x²

= 5x²

Read more about Algebraic Word Problems at; brainly.com/question/13818690

#SPJ1

The complete question is;

Express in algebraic language: the sum of the squares of the ages of Maria and Miriam, if it is known that Maria is twice the age of Miriam.

3 0
2 years ago
Use substitution to solve the system of equations.
kakasveta [241]

Answer:

C (let me know if I am wrong!)

Step-by-step explanation:

We need to solve the equation.

If 5x+y = -24, then -24 - 5x = y.

x+ 3(-24-5x) = -2

= -14x-72=-2

= -14x-72+72=-2+72

= -14x=70

= -5

If x = -5, then -5 + 3y = -2.

3y = -2+5

3y = 3

y=1

So the answer is C.

4 0
3 years ago
On a number line, what is x-4&lt;-3?
goblinko [34]

Add 4 to both sides

x - 4 < -3

x-4+4 < -3+4

x < 1

To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.

The graph is shown below.

3 0
3 years ago
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