The equation to determine the number of hours worked by the plumber is 190 = 35 + 50x and the number of hours is 3.1 hours option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Jerald is having drain issues at his home and decides to call a plumber.
The plumber charges $35 to come to his house and $50 for every hour they work.
Let x be the number of hours:
190 = 35 + 50x
50x = 155
x = 3.1 hours
Thus, the equation to determine the number of hours worked by the plumber is 190 = 35 + 50x and the number of hours is 3.1 hours option (A) is correct.
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x2+2x-12=0 vertex form
Taking into account the definition of vertex form, the quadratic function y=x² +2x-12 in vertex form is f(x) = 1(x - +1)² -13
Vertex form of a quadratic functionThe function f(x) = ax²+ bx + c with a, b, c real numbers and a ≠ 0, is a quadratic function expressed in its polynomial form.
The graph of a quadratic function is a curve called a parabola.
Every quadratic function can be expressed by f(x) = a(x - h)² + k
where
"a" is the main coefficient.the ordered pair (h;k) are the coordinates of the vertex of the parabola.The value of -b÷(2a) indicates the value of x or h and replacing this value into the function, you get the value of y or k of the vertex of the function.
Vertex form in this caseIn this case, the quadratic equation y=x² +2x-12, where:
a= 1b= 2c= -12The value of x or h of the vertex is calculated as -2÷(2×1)
Solving: -2÷2= -1
The value of y or k of the vertex of the function is calculated as y=(-1)²+2×(-1) -12
Solving y= -13
Finally, the quadratic function can be expressed in vertex form by f(x) = 1(x - +1)² -13
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Solve for b.
-14b + 1
4
<3 or b - 15 - 15b > 1
Write your answer as a compound inequality with integers, proper fr
fractions in simplest form.
or
Answer:
Step-by-step explanation:
Given: 1 || m, p || q Prove: 21 = 22
Answer:
Proved.
Step-by-step explanation:
l // m and p is transversal.
∠1 ≅ ∠3 ----------(I) {Corresponding angles}
p // q and l is transversal.
∠3 ≅ ∠2 -------(II) {Corresponding angles}
From (I) & (II),
∠1 ≅ ∠2
Hence proved.
To prove ∠1 = ∠2
What are parallel lines?
In a plane, parallel lines are those whose distances between them are constant. Lines that are parallel never cross. Lines that cross at a straight angle (90 degrees) are said to be perpendicular.
Given: l II m and p II q
According to the properties of parallel lines
∠1 and ∠ 3 are equal because l II m therefore ∠1 and ∠ 3 are corresponding angles.
Since p II q therefore ∠3 = ∠2 { angles present on the same sides of the parallel lines called corresponding angles are equal }.
Thus since ∠1= ∠3 and ∠3=∠2 therefore we can say that ∠1 = ∠2.
Hence proved.
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need help please as soon as possible please
The value of the trigonometric ratio sin C of the given right angle triangle is; A: a/b
How to use Trigonometric ratios?
We know that the three trigonometric ratios of a right angle triangle are given as;
sin θ = opposite/hypotenuse
cos θ = Adjacent/hypotenuse
tan θ = Opposite/Adjacent
Now, from the right angle triangle given to us, if we want to consider the angle C, then we will have the trigonometric ratios as;
sin C = a/b
cos C = c/b
tan C = a/c
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Using long division, what is 14 divided by 1,726
solve y-59 equal to 80
Answer:
y=139
Step-by-step explanation:
add 59 to 80
help please. thanks if you do
Answer:
m∠BGF = 80°Step-by-step explanation:
As per diagram, the angles BGC and CGF are marked as congruent.
It gives us:
∠BGC ≅ ∠CGF or7x - 2 = 8x - 8Solve it for x:
8x - 7x = 8 - 2x = 6Find the angle measures:
m∠BGC = m∠CGF = 7*6 - 2 = 42 - 2 = 40To find the measure of ∠BGF consider the angle addition:
m∠BGF = ∠BGC + ∠CGFm∠BGF = 40 + 40 = 80astronomers estimate that there are about 10 to the power of 11 galaxics in the universe and that each galexy contains about 10 to the power of 11 stars about how many stars are there in the universe
Answer:
10^22
Step-by-step explanation:
= (10^11)(10^11) -> the bases are the same, add the exponents
= 10^22
What is the slope of the line that passes
through the points (8,0) and (-4,-8)?
Write your answer in simplest form.
WE DO:
C
A bag of fruit contains 6 apples, 3 oranges.2
banana, and 4 pears. Jose will randomly select
one piece of fruit, put it back, and choose
another piece. What is the probability that the
first piece of fruit Jose selects will be an apple
and the second piece of fruit will be an orange?
YOU
M
CO
C
S
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
There are a total of 15 pieces of fruit. For the first selection, we want a apple (6) and the second pick we want and orange (3).
[tex]\frac{6}{15}[/tex] x [tex]\frac{3}{15}[/tex] =
Which is the same as
[tex]\frac{2}{5}[/tex] x [tex]\frac{1}{5}[/tex] if I simplify both fractions which is [tex]\frac{2}{25}[/tex]
what is 5/3 x 1 x 3 in a fraction
First, any number multiplied by 1 yields the result of itself
Therefore, we can rewrite it as 5/3 x 3.
We do the multiplication : 5/3 x 3 = 5/3 x 3/1 = (5x3)/(3x1) = 15/3 = 5.
Rewrite 5 as 5/1 for a fraction result.
a container is in the shape of a square based prism with base measurement of 3m and the height is 5m. The top and bottom are made of steel and the sides are made of aluminum. If steel costs $2.95/m^ and aluminum costs $1.57/m^, how much would it cost to make the container?
The cost for making the container if steel costs $2.95/m and aluminum costs $1.57/m is $28. 27
How to determine the cost of the containerBased on the information given, we have that;
The base of the square prism is measured 3mThe height of the square prism is measured 5mWe also have the following deductions;
Steel was used for the top and bottom are both made of steelAluminum was used for the sides of the square prismThe properties of a square prism include;
Opposite sides are parallel Opposite sides are parallelOpposite sides are equalOpposite angles are equal The diagonals of the prism divide each otherThe cost for aluminum = 10($1.57)
Multiply the values by expanding the
The cost for aluminum = $10. 57
The cost for steel = 6($2.95)
Multiply through, we have;
The cost for steel = $17. 7
Total cost for the container = Cost of steel + cost of aluminum
Total cost for the container = $10. 57 + $17. 7
Total cost for the container = $28. 27
Thus, the value of the cost is $28. 27
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Graph the following system of equations.
y = 3x + 15
3x + 3y = 9
What is the solution to the system?
Answer:
x = -3 and y = 6
Step-by-step explanation:
by plugging the function (y = 3x + 15) into the y value in the function (3x + 3y = 9), you can then solve to find that x = -3
After solving for the x-value, plug -3 into the easiest equation to solve for the y-value (y = 3x + 15) to then find that y = 6
This is method of solving is called substitution
Can you guys help me with this math question
HELPPPPPP
What is the distance between the following points?
Choose 1 answer:
7
9
√65
√80
the table shows the number of questions answered incorrectly by each player on a game show.if each missed question is worth "-77" points,what is the change in olive sco due to the incorrect questions?
The change in Oliver's score due to the incorrect questions will be -63.
How to illustrate the information?It should be noted that the table shows the number of questions answered incorrectly by each player on a game show.
It should be noted that based on the information, every question missed is worth -7 points.
Therefore, the change in Oliver's score due to the incorrect questions will be:
= 9 ×-7
= -63
The change is -63.
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Pls help!!!: select all the expressions that are equivalent to (1/2) to the power of negative 3. a). -(1/2) to the power of 3 b).2 to the power of 3 c).(1/1/2 to the power of 3) d).1/8 e).8
Answer:
option (e) 8
Step-by-step explanation:
using identity
==>1/(a^(-x))=a^x()
=(1/2)^(-3)
=(2)^3
=2*2*2=8
option (e)
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What are the domain and range of this relation? pt3 last one pls help
guestion 24
determine the size of the angle
mark
The size of the angle marked t is 60 degrees.
We are given an isosceles triangle with one angle as 30 degrees.
We have to find the angle marked t.
Let us name the triangle.
Let the vertex formed by the intersection of two equal sides be A and,
The vertex with 30 degree angle be B and the third vertex be C.
We know that,
AB = AC
Hence,
∠ ABC = ∠ ACB = 30 degrees.
Hence, ∠ BAC = 180 - 30 - 30 = 120 degrees
We know that,
t + ∠ BAC = 180 degrees (supplementary angles)
Hence,
t + 120 = 180
t = 180 - 120
t = 60 degrees
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What is the range of the function shown on the graph?
Check the picture below.
PLEASE help ill give brainliest
Answer:
A = 73°
Step-by-step explanation:
angle A + angle B = 180°
[tex](6x-35)+(3x+53) = 180[/tex]
[tex]6x+3x-35+53=180[/tex]
[tex]9x+18=180[/tex]
[tex]x=\frac{180-18}{9}[/tex]
[tex]x=18[/tex]
Angle A = 6(18) - 35 = 108 - 35 = 73°
Angle B = 3(18) + 53 = 54 + 53 = 107°
73 + 107 = 180
Hope this helps
Two values of v satisfy the equation |2v- 13| +6 = 9. What is the sum of these values?
Answer: v = 8, 5; The sum of these values would be 13.
∣2v − 13∣ + 6 = 9
Combine like terms, utilizing the properties of equality. Do not forget to follow the order of operations!
∣2v − 13∣ + 6 = 9
Subtract 6 from both sides of the equation.
∣2v − 13∣ = 3
Consider the definition of absolute value (distance from the number zero); the absolute value of x and -x would both be x.
2v − 13 = 3
2v − 13 = −3
Add 13 to both sides of the equation.
2v = 16
2v = 10
Divide both sides of the equation by 2.
v = 8
v = 5
Add the sum of the values.
8 + 5 = 13
(c) A total of 1800 students attend St. John's College. The ratio
of teachers to students is 1:25.
(i) How many teachers are there at the college.
Three-quarters of the students own laptop computers.
(ii) How many students DO NOT own laptop computers?
Answer: the number of teachers are 14.4 and the amount of students that don’t own laptops of 5400
Step-by-step explanation:
Which of the following is true? ( not multiple choice)
Answer: A
180-130= <D
50=<D
50+70= 120
180-120=<B
60=<B
m<BCD= 70
m<DBC= 60
70-60=10
Answer:
О A = 10°
Step-by-step explanation:
∡ DBC = 180 - 130 = 50°
∡ DBC + ∡ CBD + ∡ BCD = 180°
50° + 70° + ∡BCD = 180°
∡BCD = 180° - (50°+70°)
∡BCD = 180° - 120°
∡BCD = 60°
Then:
∡BCD - ∡DBC = 60° - 50° = 10°
1. Ganymede is one of Jupiter’s moons. It takes Ganymede 7 days, 3 hours, and 15 minutes to make one rotation around Jupiter. How many hours does it take Ganymede to complete a full rotation? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.
The number of hours it would take Ganymede to complete a full rotation is 171.25 hours.
What is the number of hours?The first step is to convert days to hours. A day is equivalent to 24 hours. In order to convert days to hours, multiply 7 by 24.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
1 day = 24 hours
24 x 7 = 168 hours
The second step is to convert minutes to hours, In order to do this, divide 15 by 60. Division is the process that is used to determine the quotient of two or more numbers.
60 minutes = 1 hour
15 / 60 = 0.25 hours
Now, add all the converted hours together. Addition is the mathematical operation that is used to determine the sum of two or more numbers.
Total hours = 168 hours + 3 hours + 0.25 hours = 171.25 hours
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who knows how to solve this! its geometry
Answer:
figure out how to get 180% from those 3 points
Step-by-step explanation:
The zurn family ate at a restaurant that was having 15% discount on that day .Their meal costs 64.75,and they left a 20% tip .What is the total cost of the meal? (Note: the tip applies to the total cost of the meal before the discount was applied)
The total cost of the meal is 66.045
Given,
The cost of the meal = 64.75
The discount given on that day = 15%
The tip given by Zurn family = 20%
We have to find the total cost of the meal.
First we have to find the total cost including tip before discount is added.
That is,
120% of 64.75
= 64.75 × 120/100
= 6.475 × 12
= 77.7
Here, the total cost including tips before discount is 77.7
Now, we have to deduct the discount.
100 - 15 = 85
That is,
85% of 77.7 will be the total cost of the meal
= 77.7 × 85/100
= 6604.5 / 100
= 66.045
Therefore, the total cost of the meal is 66.045
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−14 = −21 +
C
11
Subract
Answer:
35
Step-by-step explanation:
Order 81%, 8/9, 0.79, and 9/11 from least the greatest.
Answer:
9/11, 8/9, 0.79, 81%
Step-by-step explanation:
i don't know how to explain but this is pretty much how you'd do it
Can u please answer this asap and thank you
Answer:
10 popcorn orders
Step-by-step explanation:
[tex]10 + 4.55 x = 8 + 4.75x \\ 4.55x - 4.75x = 8 - 10 \\ - 0.2x = 8 - 10 \\ - 0.2x = - 2 \\ x = \frac{ - 2}{ - 0.2} \\ x = 10[/tex]