Marisol is being paid $792 to provide nutrition counseling, It took her 8 hours more than she expected, so
she earned $4 per hour less than she originally calculated. How long had she anticipated it would take to do
the job?
Answer: 44 hours.
Step-by-step explanation:
Marisol is being paid $792.
We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:
T + 8 hours.
The amount of money per hour that she expected is calculated as:
$792/T = X
And for those 8 extra hours, she won $4 less per hour, then we have:
$792/(T + 8hs) = X - $4
Then we have a system of equations:
$792/T = X
$792/(T + 8hs) = X - $4
To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:
$792/(T + 8hs) = $792/T - $4
Now we can solve this for T.
$792 = ($792/T - $4)*(T + 8hs) = $792 + $792*(8hs/T) - $4*T + $32*hs
0 = $792*(8hs/T) - $4*T + $32*hs
Let´s multiply this both sides by T
0*T = ($792*(8hs/T) - $4*T + $32*hs)*T
0 = $792*8hs - $4*T^2 +$32*T*hs
This is a quadratic equation, where i will write this witout units so it is easier to read and follow:
0 = -4*T^2 + 32*T + 792*8
The solutions cab be found by using the Bhaskara´s formula, these are:
[tex]T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4} = \frac{-32 +-320}{-8}[/tex]
Then the solutions are:
T = (-32 + 320)/-8 = -36 hours (This is a negative time, and it does not really have a meaning in this problem, so we can discard this option)
The other solution is:
T = (-32 - 320)/-8 = 44 hours.
Then we can conclude that she expected the job would take 44 hours in total.
Q#2 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd
Answer:
Add 3 to both sides.
2x=9+3
simplify 9+3 to 12
2x=12
Divide both sides by 12
x= 12
2
simplify
x=12
PLEASE HELP ME 20 POINTS
Answer:
500
Step-by-step explanation:
There was a study done on oxygen consumption of snails as a function of pH, and the result was a degree 4 polynomial whose graph is shown.
Which of the following statements about this function is INCORRECT?
Answer:
A. There is a positive leading coefficient
Step-by-step explanation:
Polynomials can be represented as an equation or graphs.
The incorrect option is: (b) There is a positive leading coefficient.
The polynomial has a degree of 4; this means that the degree of the polynomial is even.
So option (a) The degree of the polynomial is even is true
From the graph, we can see that the function decreases at (7<x<8) and (9<x<10)
This means that, the function decreases at two intervals
So option (d) There are two intervals where the function is decreasing is also true
Also, the function is at maximum at x = 7 and x = 9.
This means that:
Option (c) At two pH values, there is a relative maximum value
Hence, the incorrect option is:
(b) There is a positive leading coefficient.
This is so because, the graph decreases at some points on the graph.
This means that, the graph has a negative leading coefficient.
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What is the range of fx) = 3^x
Answer: For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical extent of the graph, so the domain and range include all real numbers.
Step-by-step explanation:
Find mzC.
B
(2x – 12)
(9x – 26)
(4x + 43)
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°
f(x) = 2(x – 1)– 5 and g(x) = – 2x + 1 , determine the x-values of the points of intersection.
Answer:
x = 2Step-by-step explanation:
These are equations of lines with different slopes, so there is only one point of their intersect.
The point of intersect is where f(x) = g(x).
2(x - 1) - 5 = - 2x + 1
+2x +2x
2x - 2 - 5 + 2x = 1
+7 +7
4x = 8
÷4 ÷4
x = 2
Answer: x = 2
Explanation:
From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!
Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.
Roy works at the local grocery store and is paid $6.00 per hour. The
graph shown describes his salary, s, based on the number of hours, the
works.
S
19
18
17
16
15
14
18
12.
11
10
I
8
7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8
Which is an equation of the graph shown?
OA:
S=6+t
B:
S = 60
S
OD:
Mark Question For Review
Answer:
S=6t
Step-by-step explanation:
6 dollars per hour
Fill in the blank with the correct constant of proportionality. Pounds of Bananas Cost ($) 2, 2.50, 3, 3.75, 5, 6.25, 7, 8.75 The constant of proportionality is
Answer:
it will go up 1 dollar now i had to do it in my head
Step-by-step explanation:
mabey if im wrong sorry
**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?
A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.
C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.
D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
what is 42/18 written as a mixed number?
Step-by-step explanation: 2 1/3
2x
+1 = 7
-Z | -1
= [?]
=
2x
3
Answer: nop
Step-by-step explanation:
6) Choose which postulate proves the triangles congruent.
Answer:
SAS(Side.Angle.Side
Step-by-step explanation:
since x is mid point of pr and qs so px=xr and x is midpoint of qs so qx=sx,
and two lines intercept so angles made on point x are equal.....hence 2 sides and one angle proved so triangles are equal
The postulate that can be used to prove that triangle QXP and triangle SXR are congruent to each other is: SAS Congruence Theorem,
Recall:
Two triangles are congruent by the Side-Angle-Side Congruence Theorem, if two sides and one included angle of one triangle are congruent to two sides and the corresponding included angle in the other triangle.Since X is a midpoint of QS and RP, therefore:
[tex]PX \cong RX\\\\QX \cong SX\\[/tex]
Also,<PXQ = <SXR (vertical angles are congruent)
Thus, triangle QXP and triangle SXR are congruent by SAS.Therefore, the postulate that can be used to prove that triangle QXP and triangle SXR are congruent to each other is: SAS Congruence Theorem,
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Graph a line through (2,-5) and have a slope of -4
im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?
Solve this equation 5x -7 = -12
Answer:
The answer is x = -1
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
5x-7=-12
5x=-5
x=-1
Every month Tanesha pays a fixed fee of $10 to use the parking lot at her workplace. She must also pays $2 each day that she parks her car in the lot. If she parks there x days in one month, which of the following represents the amount in dollars that she must pay for using the parking lot that month?
The equation that represents the amount in dollars that she must pay for using the parking lot that month is y = 2x +10, the correct option is B.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The amount Tanesha pays to use the parking lot is $10
The daily amount she pays to use the parking is $2
Let x represents the days in one month.
Let y represents the amount in dollars that she must pay for using the parking lot that month.
The unknown parameters are x and y
The equation that can be formed is
y = 2x +10
It seems that your question is incomplete, the complete question is as follows:
A . y = 2x
B. y = 2x +10
C. y = 10x +2
D. y = 10x
To know more about Equation
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at the zoo,the ratio of monkeys to gorillas is 5:1
Answer:
thats a statement
Step-by-step explanation:
Find the value of x in the
following parallelogram:
2x
х
х
2x
Answer:
60°
Step-by-step explanation:
The sum of the angles in any quadrilateral is 360°. In a parallelogram the sum of neighboring angles is 180°. Therefore:
2x + x = 180°
3x = 180°
x = 60°
The value of x is 60.
What is properties of parallelogram?Parallel sides define an object.Congruent opposites are present.Angles at opposites are congruent.Consecutive angles on the same side called supplementary angles.A parallelogram is divided into two congruent triangles by each of its diagonals.A parallelogram's diagonals cut each other in half.Given:
Angles x, x, 2x, 2x.
Using the property of parallelogram, the adjacent angles of parallelogram sum to 180.
x+ 2x= 180
3x= 180
x= 180/3
x= 60
Hence, the value of x is 60.
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Joey completed 1,456 push-ups over a 4-week period. Joey did the same number of push-ups every day. How many push-ups did Joey do each day?
Answer:
Joey completed 52 pushups each day.
Step-by-step explanation:
We know that he did 1,456 pushups in 4 weeks, and that there are 7 days a week. This means that he did those pushups in the span of 28 days. So, divide 1,456 by 28 to get 52 pushups.
please help ASAP [IMAGE]
Answer:
y is equal to negative 2 x plus five
The walls of a square room need painting. Each of the four walls is 12ft wide by 8.5 feet tall. One gallon of paint covers 75ft2. How many gallons will you need
Answer:
5.44 gallons of paint
Step-by-step explanation:
First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.
Area=(length*width)4
Area=(12*8.5)4
Area=(102ft^2)4
Area=408ft^2
Therefore, the total area of the walls is 408ft^2.
Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.
408/75
=5.44 gallons
Therefore, we would need 5.44 gallons of paint to paint the four walls.
I hope this helps!
Jay has spent 3/8 of his life working for his current company. If Jay has been 8 3working for his current company for 15 years, how old is he?
Answer:
40 years old
Step-by-step explanation:
If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.
15 / 3 = 5 years
5 years = 1/8
Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.
5 years * 8 = 40 years old
What is the difference between heat and temperature?
How does a thermometer measure temperature?
When, if at all, does heat transfer stop?
Exit Ticket
What type of heat transfer occurs when eggs fry in a pan?
What type of heat transfer occurs when you roast a marshmallow by holding it over a campfire?
What type of food in which convection helps the cooking process? Explain your answer
When you touch a picnic table, your hand gets warmer. Explain how energy conservation applies to this situation
please answer these i give brainliest
Answer:
heat is hot and tempture is all
Find the mean, median, mode, and range of the following data.
10, 20, 30, 15, 90, 80, 35, 30, 25, 15, 60, 75, 80, 30, 45, 35, 95, 80, 80, 25, 15
Mean (average) - add all numbers up and divided by the number of addends
Mean = 46.19047619 (50)
Median - arrange numbers in numerical order, and find the one in the middle
Median = 35
Mode - number that appears the mode
Mode = 80
Range - difference between biggest and smallest number
Range = 80
~theLocoCoco
HELP! It's really easy! It's due really soon but I have other assignments I need to get done... Please and thanks!
Answer:
35.235
5.62
23,845.05
0.727
22.325
Step-by-step explanation:
Answer:
35.235, 5.62, 23845.05, 0.727, 22.325.
Step-by-step explanation:
hope this helps! pls give brainliest!
hey , can you help me with this thanks !!
Answer:
16
Step-by-step explanation:
the sides may not seem to help but it dose go to the other side and try to meser it it would be 4. add 8+4+4 or 8+8=16
Answer:
18.6cm (rounded to 3 s.f.)
Step-by-step explanation:
You can actually figure out the two bases of the triangles based on the Pythagoras theorem where the slant length of a 90° triangle is [tex]\sqrt{a^{2} + b^{2} }[/tex] where a is one of the bases and b is the other length that is 90° perpendicular to a.
So this means:
[tex]\sqrt{6^{2} + base^{2} }[/tex] = 8cm
6² + base² = 64cm
36 + base² = 64
base² = 64-36
= 28
base = [tex]\sqrt{28}[/tex]
≈ 5.2915 (5 s.f.)
So the two bases are roughly 5.2915, and the middle base is part of a rectangle, so it has the same length as the rectangle's length, which is 8cm.
Thus, x = 5.2915 + 5.2915 + 8
= 18.6cm (rounded to 3 s.f.)
a sixth grade football team has 3 quarterbacks, 4 running backs and 5 wide receivers what is the ratio of wide receivers to the total
Answer: 5.5
Step-by-step explanation:
Ratio
noun
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
$239 television; 10% discount
Step-by-step explanation:
cost of television-$239
discount-10%
239÷10
Answer:
$215.10
Step-by-step explanation:
I believe this is correct.
Hope this helps!
2 Vishal is training for a race. His goal is to run 5.5 miles over three days. The distances he ran each day are shown in the table.
Answer:
Which table?
Step-by-step explanation:
Answer:
I know this is old but here is the answer bc I had this test
Step-by-step explanation:
1. he ran 5.478 in total
2. he ran 0.022 more than his goal.
Vishal ran a total of 5.478 miles. The distance he ran over the three days is greater than his goal by 0.022 miles.
Find the slope of the line? (0,0) (1,-3)
Answer:
1/-3
Step-by-step explanation: hope this helps
btw can have brainliest?
Answer:
-3/1
Step-by-step explanation:
y2-y1 -3 - 0 -3
x2-x1 1 - 0 1