Answer:
The plumber will charge $275
Step-by-step explanation:
Models
Models are used to explain and predict the behavior of real objects or systems and are used in a variety of scientific disciplines.
The situation described in the question asks us to build a mathematical model for the charges for the service of a plumber.
The base fee is often called the fixed fee, which charged even if there is no service time. The plumber charges a base fee of $55.
The variable fee is that who changes for each hour worked. The plumber charges $55 per hour, so the charge for t hours of service is 55t.
The total charges of the plumber are modeled as:
C(t)=55t+55
If the plumber works t=4 hours, the cost will be:
C(4)=55*4+55=$275
The plumber will charge $275
The equation 4 (x - 2) = 100 is a true equation for a particular value of x. Explain why 2 (x - 2) = 50 is also true for the same value of x.
Answer:
Step-by-step explanation:
i. 4 (x - 2) = 100
x-2= 100/4
x-2=25
x=25+2
x=27
ii. 2 (x - 2) = 50
x-2= 50/2
x-2=25
x=25+2
x=27
The equation 4 (x - 2) = 100 is a true equation for x when x = 27
4 (x - 2) = 100
4x - 8 = 100
Collect like terms
4x = 100 - 8
4x = 92
Divide both side by 4
4x/4 = 92/4
x= 27
Also the equation 4 (x - 2) = 100 is the same as 2 (x - 2) = 50 when the former equation is being divided by 2.
Therefore, the equation 4 (x - 2) = 100 is a true equation for x when x = 27
Read related link on:
https://brainly.com/question/18082362
Convert this number to scientific notation:
0.009987
Answer:
9.987 × 10^-3
Step-by-step explanation:
Here is a linear equation in two variables: 2x + 4y - 31 = 123.
Solve the equation, first for x and then for y.
Answer:
x = -2y+77
y = -x/2+77/2
Step-by-step explanation:
The equation for x variable is x = 77 - 2y and for y variable it is; y = 77- x/2
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
WE have been given linear equation in two variables: 2x + 4y - 31 = 123.
Solve for x and for y
2x + 4y - 31 = 123.
Add 31 to both sides
2x + 4y - 31 + 31 = 123 + 31
2x + 4y = 154
Solving for x then Subtract 4y from both sides
2x + 4y -4y = 154 - 4y
2x = 154 - 4y
Divide by 2
x = 77 - 2y
y = 77- x/2
Learn more about linear equations;
https://brainly.com/question/10413253
#SPJ2
Jack's family took a road trip to Niagrara Falls. Jack fell asleep 43% of the way through the trip. If Jack fell asleep after they had travelled 430 miles, what was the total length of the trip?
Which triangle represents a rotation? What is the center of rotation if the triangle
Answer:
the green one, (0,0)
Step-by-step explanation:
red is a reflection, not a rotation
What is the value x in the equation -2/5x-2=18?
-50
-40
-8
-6
Is this correct? If not the answer choices are
vertical,
complementary
supplementary
adjacent,
right,
obtuse.
Please match them with the right answer choices.
Answer:
Some of them are wrong
Step-by-step explanation:
The revisions I made are in BOLD and underlined.
∠1 and ∠4 are vertical angles
∠1 and ∠2 are obtuse angles because they are angles that measure between
90° and 180°.
∠3 and ∠4 are adjacent angles because they have a common vertex.
∠4 and ∠5 are supplementary because they lie on a straight line and have a sum of 180°.
if b is the midpoint of ac, ab=12x+11 and bc= 14x - 1, find AB
ik i said i didn't need help with this in my last question but I lied
Answer:
AB = 83
Step-by-step explanation:
The mid-point of any segment divides the segment into two equal parts
∵ B is the midpoint of segment AC
→ That means B divides AC into two equal segments AB and BC
∴ AB = BC
∵ AB = 12x + 11
∵ BC = 14x - 1
→ Equate them
∴ 14x - 1 = 12x + 11
→ Subtract 12x from both sides
∵ 14x - 12x - 1 = 12x - 12x + 11
∴ 2x - 1 = 11
→ Add 1 to both sides
∵ 2x - 1 + 1 = 11 + 1
∴ 2x = 12
→ Divide both sides by 2
∵ [tex]\frac{2x}{2}=\frac{12}{2}[/tex]
∴ x = 6
→ To find AB substitute x by 6 in its expression
∵ ab = 12x + 11
∵ x = 6
∴ AB = 12(6) + 11
∴ AB = 72 + 11
∴ AB = 83
Erma solves an equation by first subtracting 8 from both sides of the equation. She then divides both sides by 8 and finds the solution. Which of the following gives the properties of equality that she used and their correct order?
addition property of equality and multiplication property of equality
multiplication property of equality and addition property of equality
symmetric property of equality and multiplication property of equality
addition property of equality and substitution property of equality
Answer:The answer on edge is
A. the addition property of equality
D. the substitution property of equality
Step-by-step explanation:
Does this table of values represent a direct variation or a partial variation? *
Answer:
this table would be partical variation
Step-by-step explanation:
in order to get to the output, the exquation is 2x+2 and thats a partial variation equation
The distance a race car travels is given by the equation d=v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled. Write an equation for the driver's average speed s during the acceleration. (Hint: Average speed is equal to distance divided by time.)
Answer:
v0 + 1/2at
Step-by-step explanation: Given that the distance a race car travels is given by the equation d = v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled.
The equation for the driver's average speed s during the acceleration will be:
(v0t+12at2) / t
Since Average speed is equal to distance divided by time.
Therefore, the equation will be:
v0+1/2at
The average speed s (technically average velocity) at time t will be given by the equation:
[tex]s = v_0 + \dfrac{1}{2} \times a \times t[/tex]
Given that:
If d denotes the distance travelled by the car with initial velocity [tex]v_0[/tex] and acceleration a, then:
[tex]d = v_0\times t + \dfrac{1}{2} \times a \times t^2[/tex]
And since average speed is total distance divided by total time taken, thus let the average speed is denoted by s, then:
[tex]s = v_0 + \dfrac{1}{2} \times a \times t[/tex]
The terms speed and distance here, are technically referring to the terms velocity and displacement respectively since speed and distance are scalar quantities.
For more information, refer to this link below:
https://brainly.com/question/862972
pls help me answer this question as fast as possible!!!
Answer:
7.50-1.50 6/3 = 2 per hamburger.
(x=2) equation> 7.50-1.50x= 3
A hotel costs $89 per night. Sally will receive a $5 per night discount for paying in advance. A rental car costs $35 per day plus taxes that total $4 per day. Which expression can Sally use to find how much she will pay for the hotel and rental car for 5 days?
Answer:
( 89-5) *5 + ( 35+4)*5
84*5+ 39*5
Step-by-step explanation:
The cost for the hotel will be 89 -5 =84 dollars per night if she pays in advance
The cost of the car is ( 35+4) = 39 per day
She is staying 5 days
( 89-5) *5 + ( 35+4)*5
84*5+ 39*5
Answer:
$615
Step-by-step explanation:
(5x84)+(5x35)+(5x4)=
420+175+20=
$615.
She will pay $615 over the 5 days.
PLEASE HELLPP I WILL MARK BRAINLYLIST
Answer:
3
Step-by-step explanation:
divide one side of the bigger triangle by the corresponding side of the smaller one
Answer:
3
Step-by-step explanation:
Divide the bigger triangle by the little one
3/1=3
then 12/4=3
Please help!!!!!
Find the measure of the exterior angle of the polygon.
Answer: 125 degrees
Step-by-step explanation:
180-55=125
I'm only looking for an explanation, not the answer I want to find it myself. Please help a girl out!
A tree is casting a shadow of 28 ft. At the same time, a 7ft statue was casting a shadow of 2ft. How tall is the tree? Remember, I don't want the answer just an explanation
(●'◡'●)
Answer:
Step-by-step explanation:
You have to find ratio for feet for a shadow.
In your case, a 7ft statue was casting a shadow of 2ft. You divide 7/2 and it results in 3.5 feet in real life vs. 1 foot shadow. You do the same for the tree. Since it is 3.5 feet:1 foot statue, you have to multiply 3.5 by 28 to get the full height of the tree. (In this example the shadow is smaller than the tree that's why you multiply).
The hospital spent 9⁵ dollars on a new medical equipment this year. Last year, they spent 9⁷ dollars. How many more dollars did they spend last year than this year?
Answer:
4,723,920
Step-by-step explanation:
9^5 = 59,049
9^7 = 4,782,969
4,782,969 - 59,049 = 4,723,920
Please mark me brainliest.
8x−6/2=x+12
show work please
Answer:
x= 15 /7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x− 6 /2 =x+12
8x+−3=x+12
8x−3=x+12
Step 2: Subtract x from both sides.
8x−3−x=x+12−x
7x−3=12
Step 3: Add 3 to both sides.
7x−3+3=12+3
7x=15
Step 4: Divide both sides by 7.
7x /7 = 15 /7
Answer:
[tex]\boxed {x = \frac{15}{7}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]8x - \frac{6}{2} = x + 12[/tex]
-Divide [tex]6[/tex] by [tex]2[/tex]:
[tex]8x - \frac{6}{2} = x + 12[/tex]
[tex]8x - 3 = x + 12[/tex]
-Take [tex]x[/tex] and subtract from [tex]8x[/tex]:
[tex]8x - 3 - x = x - x + 12[/tex]
[tex]7x - 3 = 12[/tex]
-Add both sides by [tex]3[/tex]:
[tex]7x - 3 + 3= 12 + 3[/tex]
[tex]7x = 15[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{15}{7}[/tex]
[tex]\boxed {x = \frac{15}{7}}[/tex]
So, the value of [tex]x[/tex] is [tex]\frac{15}{7}[/tex].
Based on the diagram, which statement is NOT true
Answer:
Where's the diagram?.....
1.2x10^6, what is the scientific notation to standard notation?
Answer:
1200000
Step-by-step explanation:
Answer:
1200000
Step-by-step explanation:
Consider the following figure.
21
22
23
24
Which of the following statements are true? Select all that apply.
Answer:
Last option is the correct answer and no other else
Step-by-step explanation:
[tex] \angle \: 3 + \angle \: 4 = 180 \degree..(1) \\ ..(linear \: pair \: \angle' s) \\ \\ \angle \: 1+ \angle \: 2 = 180 \degree...(2) \\ ..(linear \: pair \: \angle' s) \\ \\ from \: equations \: (1) \: and \: (2) \\ \purple{ \bold{\angle \: 3 + \angle \: 4 = \angle \: 1+ \angle \: 2}}[/tex]
Answer:
D and E
You weren't showing the full list of answers.
Step-by-step explanation:
*/ Dunkin donuts is selling a 12 muffins for $3.60. What is the unit price per muffin? ***
Answer:
0.3
Step-by-step explanation:
3.60 divided by 12
46h+56h=600 please solve
Answer:
5.88235294118
Step-by-step explanation:
Step 1:
46h + 56h = 600 Equation
Step 2:
102h = 600
Step 3:
h = 600 ÷ 102
Answer:
h = 5.88235294118
Hope This Helps :)
Select each inequality that 0 is a solution to.
-3(y - 1) ≥ 3
2y - 4 0
- y -1 > 0
y + 8 ≤ 2y + 8
Answer:
select the first and last options.
Step-by-step explanation:
1.
-3(y - 1) >= 3
-3y + 3 >= 3
-3y >= 0
y >= 0
0 is a solution
2.
2y - 4 > -4
2y > 0
y > 0
0 is not a solution
3.
-y - 1 > 0
-1 > y
0 is not a solution
4.
y + 8 <= 2y + 8
8 - 8 <= 2y - y
0 <= y
0 is a solution
A guy wire is secured into the ground 15 feet from the base of a
36-foot pole. How long is the guy wire if it is attached to the top
of the pole?
Answer:
The answer is 39 ft so the other person is correct.
Step-by-step explanation:
Select the correct answer
Which ratios are equal to each other?
OA
1:16 and 2:8
OB
2:32 and 4:8
1:64 and 4:16
D
1:16 and 4: 64
Reset
Reset
Next
Can someone help i wil mark branliest to anyone who gets this right
show workings out too
decrease £56 by 14%
decrease £262 by 39%
Answer:
48.16
167.68
Step-by-step explanation:
New value =
36 - Percentage decrease =
36 - (14% × 36) =
36 - 14% × 36 =
(1 - 14%) × 36 =
(100% - 14%) × 36 =
86% × 36 =
86 ÷ 100 × 36 =
86 × 36 ÷ 100 =
3,096 ÷ 100 =
30.96
New value =
262 - Percentage decrease =
262 - (36% × 262) =
262 - 36% × 262 =
(1 - 36%) × 262 =
(100% - 36%) × 262 =
64% × 262 =
64 ÷ 100 × 262 =
64 × 262 ÷ 100 =
16,768 ÷ 100 =
167.68
11 A gold bar weighs 12.6 kg. If there are 0.45 kilograms in 1 pound, then how much does the gold bar weigh in pounds? Show your work using the given tools.
Answer:
28
Step-by-step explanation:
12.6÷0.45=28
I hope this helps
I have to estimate 9,105-4031 and im soo confused! Help me plss
9105-4031= 5074
Step-by-step explanation:
please mark me as branliest
Answer:
you'll have to estimate 9,105 and 4,031
Step-by-step explanation:
9,105 is rounded to 9,000, nearest ten is 9,110, nearest 100 is 9100.
4,031 is rounded to 4000 in nearest thousand, nearest 10 is 4030, and nearest 100 is 4,000
i hoped this helped!!!
Diego squared a number and got 4. Andre squared a different number and got 4. What were the two numbers that Diego and Andre squared? *
Answer:
Diego squared two
Step-by-step explanation:
Andre squared 2.1
We have that for the Question Diego squared a number and got 4. Andre squared a different number and got 4. What were the two numbers that Diego and Andre squared? "" it can be said that two possible numbers squared by Diego and Andre is
+2 and -2
From the question we are told
Diego squared a number and got 4. Andre squared a different number and got 4. What were the two numbers that Diego and Andre squared?
Generally the equation for the Square root of 4 is mathematically given as
[tex]x=\sqrt{4}\\\\Therefore\\\\x = \pm 2\\\\[/tex]
Hence
the two possible numbers squared by Diego and Andre is
+2 and -2
For more information on this visit
https://brainly.com/question/19007362