Question 1 (1 point) A locksmith charges $25 to make a house call and $15 for each lock re-keyed. Another locksmith charges $10 to make a house call and $20 for each lock that is re-keyed. Write a system of equations and use them to determine the number of locks where the total cost is the same. What will be the total cost? (Hint: write 2 equations of the form y = mx + b)​

Answers

Answer 1

Answer:

The number of locks will be 3

The total cost = $50

Step-by-step explanation:

We are trying to write the equations of the cost in the form of the equation of a straight line

The equation will be;

C = F + 15r

where F is the price for house lock , C is total cost and r is the amount per rekey

For the first locksmith;

His equation will be ;

C = 25 + 15r

For the second

C = 10 + 20r

If the total cost is the same for both;

then;

10 + 20r = 25 + 15r

20r - 15r = 25 - 10

5r = 15

r = 15/5 = 3

For the total cost to be same, number of locks is 3

The total cost will be ;

C = 20 + 10(3) = 20 + 30 = $50


Related Questions


[tex] \sqrt[3]{5555} [/tex]
what is the cuberoot of 5555 ​

Answers

17.7 i believe i may be wrong!

I will mark brainiest

Answers

Answer:

C. 63 [tex]cm^{2}[/tex]

Step-by-step explanation:

When trying to find the area of a parallelogram, you multiply the base times the height.

7 x 9 = 63

Therefore,  63 [tex]cm^{2}[/tex] is the correct answer.

-kiniwih426

show your work on
9-x>10

Answers

Answer:

x < -1

Step-by-step explanation:

9 -10 > x

x< -1

Answer:

x < - 1

Step-by-step explanation:

9 - x > 10 ( subtract 9 from both sides )

- x > 1

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative value.

x < - 1

Supongamos que estás en el infierno y el diablo te reta a un juego. Él piensa en un número natural.Cada día, tú tendrás una oportunidad de adivinar ese número (él nunca cambia el número que pensó). Si lo adivinas, el diablo te permitirá salir del infierno.Recuerda que tienes una eternidad para adivinar, la pregunta es: ¿Cuál es el orden de los números naturales que adivinarías?

Answers

Answer:

En síntesis, se inicia con el número natural más pequeño en el primer y se prosigue con los números siguientes en caso de no dar con [tex]n[/tex], de modo que el participante pasará en el infierno únicamente [tex]n[/tex] días, algo pequeño en comparación con la eternidad.

Step-by-step explanation:

Los números naturales comprenden el subconjunto más pequeño de los números reales conformado por los siguientes elementos:

[tex]\mathbb{N} = \{1,2,3,4,...\}[/tex]

Sea [tex]n \in \mathbb{N}[/tex] el número que tiene el diablo en su mente, tal que [tex]n \geq 1[/tex]. Comenzamos el primer día con 1, si este no corresponde con [tex]n[/tex]. Entonces se utiliza 2 al día siguiente y este no corresponde, se emplea al día siguiente y así sucesivamente hasta conseguir [tex]n[/tex].

En síntesis, se inicia con el número natural más pequeño en el primer y se prosigue con los números siguientes en caso de no dar con [tex]n[/tex], de modo que el participante pasará en el infierno únicamente [tex]n[/tex] días, algo pequeño en comparación con la eternidad.

I need help I have been struggling with this question for 15 minutes

Answers

8155 original long with 5 purebtice

What is the value of s?
units
07
B
a
A
15
5
D

Answers

Answer: Ahh yes the value of s is A 15

Step-by-step explanation:

2 2/5 x 4 3/4
A 8 3/10
B 11 2/5
C 9 3/10
D 10 3/5​

Answers

Answer:

It's B

Step-by-step explanation:

Multiple the denominator with the whole number, then take that number and add it with the numerator. So you'll have 12/5 x 19/4. Multiply the numerators with each other and the denominators with each other and you'll have 228/20. Divide 228 by 4 and you'll get 11 2/5.

A bridge has a sign that says “Maximum Weight 6 Tons.” If a truck weighs 13,000 pounds, is it too heavy to cross the bridge?

Answers

Answer:

Yes

Step-by-step explanation:

1 ton = 2000 pounds

6 tons = 12000 pounds

13000>12000

The truck is 1000 pounds overweight so yes it is too heavy to cross the bridge.

The tennis coach at Riverside High School is purchasing equipment for the team. He has a budget of no more than $300 to purchase racquets and tennis balls. He wants to buy a large case of tennis balls costing $20 and several racquets that cost $40 each. Write an inequality statement that represents his purchase. What does the variable represent in your inequality? Solve the inequality.​

Answers

Answer:

300 ≥ 20 + 40x

Step-by-step explanation:

where x is the amount of racquets being bought

can i get brainliest please?

The square of the quantity three less than a number n is seven(answer in an algebraic expression)

Answers

Answer:

[tex](n - 3)^2 = 7[/tex]

Step-by-step explanation:

From the question, we understand that the number is n.

Three less than n is:

[tex]n - 3[/tex]

The square is:

[tex](n - 3)^2[/tex]

The square equals 7;

So, we have:

[tex](n - 3)^2 = 7[/tex]

solve 2x + 12 = -4. show wrk

Answers

2x +12=-4

2x= -4-12

2x=-16

x=-16/2

x= -8

Step-by-step explanation:

2x+12=-4

2x=-4-12

x=-16/2

x=-8

hope this helps you

have a good day.

What is x/4+7=-2 please answer

Answers

Answer:

your answer is -36 negative thirty six

Step-by-step explanation:

(-2)-7

(-9)*4

-36

Answer:

x = -36

Step-by-step explanation:

We need to isolate the x in this equation to solve.

1. Subtract 7 from both sides of the equation.

x/4 = -9

2. Multiply 4 from both sides of the equation.

x = -36

x = -36

O Q Q
27 i 15
4. If a car is traveling 20' west of straight south, what is its true bearing? Draw a diagram to
show the path of the car. (10.9 Approaching)
5. If a plane is traveling 30" north of straight west, what is its true bearing? Draw a diagram to
show the path of the plane (10.9 Approaching)

Answers

Step-by-step explanation:

straight south is 180°.

so it is 180° 20'.

straight west is 270°.

so, it is 270° 0' 30".

prove line segment de is congruent to line segment ce

Answers

Answer:

because there is 1 arc on both meaning they are congruent

Step-by-step explanation:

Please does anyone know the answer to 5^(2m-1)=1/625

Answers

Answer:

1/625 0r 0.0016 is the product of the given expression.

Step-by-step explanation:

Step-by-step explanation:

Here, The given expression, 5^{-1} / times 5^-3

We can write, 5^-1 / times 5^-3=/frac{5^{-1}}{5^3} (because we can write a^m=1/a^{-m})

⇒5^-1 / times 5^-3=/frac{1}{5^1/times 5^3}

⇒5^-1 / times 5^-3=/frac{1}{5^{1+3}} (because a^m/times a^n=a^{m+n})

⇒5^-1 / times 5^-3=/frac{1}{5^{4}}

⇒5^-1 / times 5^-3=/frac{1}{625}=0.0016

How many solutions does the system have?
\begin{cases} y = -2x-4 \\\\ y = 3x+3 \end{cases}









y=−2x−4
y=3x+3

Answers

the answer of the question is infinite

A rectangular dining room is 7 meters long and 3 meters wide. What is its area?

Answers

Answer:

7x3 or 21

Step-by-step explanation:

Answer:

21 feet.

Step-by-step explanation:

You calculate area by using Length x Width. 7x3 = 21.

Dennis has a credit card with an APR of 10. 14% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of November. Date Amount ($) Transaction 11/1 517. 87 Beginning balance 11/9 31. 63 Purchase 11/23 64. 10 Purchase 11/26 65. 75 Payment If the finance charge for November is $3. 82, which method of calculating the finance charge does Dennis’s credit card company use? a. Adjusted balance method b. Previous balance method c. Daily balance method d. There is not enough information to determine which method was used Please select the best answer from the choices provided A B C D.

Answers

The method employed by the credit card company is the adjusted balance method, the correct option is A.

What is the adjusted balance method?

The adjusted balance method is a financial accounting method that bases finance charges on the amounts owed at the end of the current billing cycle after credits and payments post to the account.

Though the payment is not given but from the beginning balance and the purchases, Dennis owes a certain amount of money.

The finance charge is based on the amount owed by Dennis.

Thus, the method employed by the credit card company is the adjusted balance method.

Learn more about the adjusted balance method here: brainly.com/question/1808408

smh other one didnt work what is this someone please tell me

Answers

Answer:

x > 125

Step-by-step explanation:

I'm not sure how much you know about solving equations, but solving inequalities is in many ways very similar.

In this inequality, to isolate x, we must multiply both sides of the inequality by 25. This will put x by itself with another number on the other side of the inequality symbol. 5 times 25 is 125, so our final inequality is x > 125.

Hopefully, that's helpful! Let me know if you have any more questions.

Divide \frac{\left(10x^4+20x^3-31x^2+x+19\right)}{\left(x+3\right)}
(x+3)
(10x
4
+20x
3
−31x
2
+x+19)

. What is the Remainder?

Answers

Answer:
R = 7


Explanation:

You can divide a polynomial by “x - b” using synthetic division. (See photo below; work is on the left, form is on the right).
Set up a chart with “-b” in the top left corner.
In the top row, list the coefficients in the order that appears with the polynomial.
Write “–“ and “X” to remind you to subtract and multiply.

1. Bring down the first dividend coefficient (or 10)
2. Multiply the first answer coefficient by -b (or 3)
3. Write the product (or 30) under the second coefficient
4. Subtract in the second column to find the second answer coefficient (-10)
5. Repeat until the last subtraction, which is the remainder (R = 7)

*** You could also solve using the remainder theorem by substituting x = -3 into the dividend and solving.

I NEED HELP ASAP CONGRUENCY IS NOT MY STRONG POINT

Answers

Answer:

4.) SAS

Step-by-step explanation:

to sides are congruent and both angles are 90 degrees

Answer:

4)It's RHS i.e. Right hand side

I don't know th full form of HL as there is difference in studies between countries. But right hand side applies when there is 90° angle , hypotenuse and a side equal in both the triangles. Would appreciate if you tell me what HL stands for.

5) ASA

6 SAS

Step-by-step explanation:

5) Angles are equal

the side is same for both the triangle.

6) Sides are given equal.

Angles are vertically opposite to each other.

The sum of 6 consecutive integers is 519
What is the third number in this sequence?

Answers

n= the first integer

n + (n+1) + (n+2) + (n+3) + (n+4) + (n+5) = 519

6n + 15 = 519

6n = 594

n = 99

1st one = 99

so 3rd one = 101

Can someone help me I'm lost

Answers

Answer:   [tex]\sqrt{6}[/tex]

This is the same as typing in sqrt(6)

=======================================================

Explanation:

The square has all four sides the same length, which in this case is [tex]\sqrt{3}[/tex] units.

The diagonal of the square splits it into two identical right triangles.

Use the Pythagorean Theorem to find the hypotenuse x, aka the diagonal.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{\left(\sqrt{3}\right)^2+\left(\sqrt{3}\right)^2}\\\\x = \sqrt{3+3}\\\\x = \sqrt{6}\\\\[/tex]

Or you can take the shortcut

[tex]\text{hypotenuse} = (\text{leg})*\sqrt{2}\\\\x = \sqrt{3}*\sqrt{2}\\\\x = \sqrt{3*2}\\\\x = \sqrt{6}\\\\[/tex]

Which applies to 45-45-90 right triangles.

let's recall that a square has four equal sides, Check the picture below.

The volume of a sphere is 4,186. 7 cubic feet; find the radius of the sphere. Use 3. 14 as an approximation of pi

Answers

Answer:

R=9.9983

Step-by-step explanation:

PLS HELP ASAP!!!
What is the x-intercept of the line with this equation 1/3x +y=-15?
Enter your answer in the box.


(_,0)

Answers

Answer:

(-45,0)

Step-by-step explanation:

We know that the x intercept is the point where y equals '0' in an equation. Which means in a function including the y value as a variable, we can substitute 0 for y to get the x intercept!

Here's how you do it:

[tex]1/3x + y = -15\\y=0\\1/3x + (0) = -15\\1/3x = -15\\x = -45[/tex]

That makes the x intercept -45!

Hope I was of assistance!  #SpreadTheLove <3

x- intercept = -45

Step-by-step explanation:

equation: 1/3x + y = -15

=> to find intercept, y=0

=> 1/3x + 0 = -15

=> 1/3x = -15

=> 1x = -15 × 3

=> x = -45 / 1

=> x = -45

AC = BC, CP = CQ and <BPQ = 20°
<ACP = ?°​

Answers

Answer: See attached image

Step-by-step explanation:

Which value of x solves the equation below?
10(x - 1) = 8x - 2

x = 6
X = 4
x = 5
x = 2

Answers

x=4

10x - 10 = 8x - 2
-8x -8x
2x - 10 = -2
+2 +2
2x - 8 = 0
2x = 8
/2 /2
x=4

What is the probability of an event that is impossible?

Answers

What is the probability of an event that is impossible?

p = 0

Answer:

The probability is 0.

Step-by-step explanation:

The probability of an impossible event is 0, or 0%.

Yvonne brought 4 7/8 yards of material to make a dress. What is 4 7/8 as an improper fraction? What is 4 7/8 written as a decimal?

Answers

Answer:

improper fraction- 39/8

mixed fraction- 4.875

What is the value of x

Answers

Answer:

x+10+x+3x-5= 180

Step-by-step explanation:

5x+5=180

5 x = 175

X= 175/5

x=35

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