Answers
I don't see in the problem what she is paid for over time but it is normally 1.5 times per hour
so 40 hours at 25 = 1000
51-40 = 11 hours of over time
25 *1.5 = 37.50 per hour for over time
11 * 37.50 = 412.50
1000+412.50 = 1412.50 total
Related Questions
Which two expressions could be used to solve this problem?
Roberto ordered 4 pepperoni pizzas, 2 mushroom pizzas, and 3 cheese pizzas for his party. He paid the same price for each pizza. The total cost was $90. How much did each pizza cost?
Choose exactly two answers that are correct.
A.
4 × 2 × 3
B.
90 – 24
C.
90 ÷ 9
D.
90 obelus divided by(4 + 2 + 3)
Answers
What is the slope of the equation y = -x + 4
Answers
y = mx + b
In this equation, m is the slope, so the slope in this equation is -1
Hope this helps!
How to solve equations
Answers
If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.
You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.
To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.
The distributive property is another important rule you will need to understand.
The distributive property is used mostly for simplifying parentheses in expressions/equations.
For example, how would you get rid of the parentheses here?
6(x + 1)
If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves.
The distributive property states that a(b + c) = ab + ac
So, now we can simplify our expression.
6(x + 1) = 6x + 6
0. 135 written as a fraction
Answers
Find the GCF of 135 and 1000 and that would be 5.
Divide both the numerator and denominator by the GCF
Simplify
Answer: 27/200.
Explains how to write 0.135 as a fraction.
0.135 written as a fraction is 135/1000.
Find the amount (future value) of the ordinary annuity. (round your answer to the nearest cent.) $1500/semiannual period for 8 years at 2.5%/year compounded semiannually
Answers
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT semiannual payment 1500
R interest rate 0.025
K compounded semiannual 2
N time 8 years
Fv=1,500×(((1+0.025÷2)^(2×8)
−1)÷(0.025÷2))
=26,386.75
Hope it helps!
If a(x)=3x+1 and b(x)=
Answers
The answer is C. [1, ∞] on edge
The length of a rectangle is five times its width. if the perimeter of the rectangle is 96 ft , find its area.
Answers
So we can assign the width a variable, x, and then for length, 5x, because it's five times the width, or x.
So, 2 * 5x + 2 * x
Or 10x + 2x
12x
Since that equals 96,
12x = 96
/12 /12
x = 8
Area is length times width.
Length is 5x, and width is x.
So basically, 5x * x = area
Or, if you substitute the variable in:
5 * 8 * 8
320 square feet
The width of the rectangle is 8 ft and the length is 40 ft. Therefore, the area of the rectangle is 320 square feet.
Explanation:To find the dimensions of the rectangle, let's use variables. Let the width of the rectangle be x. Since the length is five times the width, the length would be 5x. The perimeter of a rectangle is equal to twice the sum of its length and width. Therefore, we can set up the equation 2(5x + x) = 96 to find the width.
Simplifying the equation, we have 12x = 96. Dividing both sides by 12, we get x = 8. So the width of the rectangle is 8 ft.
Now, we can calculate the length by multiplying the width by 5. The length would be 5(8) = 40 ft. The area of a rectangle is equal to its length multiplied by its width. Therefore, the area of this rectangle is 8 ft * 40 ft = 320 square feet.
help me ............
Answers
3 1/2 x 2 = 7
4 2/3 x 2 = 9 1/3
7 + 9 1/3 = 16 1/3 yards
Find the value of x for which l is parallel to m. The diagram is not to scale.
a. 31
b. 62
c. 93
d. 149
Answers
x + 31 = 62 ( external angle of a triangle theorem).
Therfore x = 31 degrees answer
Which transformation will be equivalent to rotating a figure 180° counterclockwise?
A) reflecting over the line y = x.
B) reflecting over the line y = -x.
C) reflecting over the x-axis and the y-axis.
D) translating left 3 units and down 5 units.
Answers
If we have given coordinates of the image are in form (h,k).
The resulting coordinates of image rotation of 180° around the origin would be (-h,-k).
We have rule (h,k) ---> (-h,-k).
We can see that x-coordinate is being multiplied by -1 and then y-coordinate is also being multiplied by -1.
Above rule could be break into two parts.
(h,k) ---> (-h,k) ----> (-h,-k).We can see in first step, (h,k) ---> (-h,k) is being reflecting over the x-axis and
in second step (-h,k) ----> (-h,-k) is being reflecting over the y-axis.
Therefore, correct option is C) reflecting over the x-axis and the y-axis.The transformation which is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise is reflecting over the [tex]x[/tex]-axis and [tex]y[/tex]-axis. Therefore, the [tex]\fbox{\begin\\\ \bf option (C)\\\end{minispace}}[/tex] is correct.
Further explanation:
Consider a coordinate in the form [tex](a,b)[/tex] where [tex]a[/tex] and [tex]b[/tex] are real numbers.
If [tex]a[/tex] and [tex]b[/tex] are positive then the point [tex](a,b)[/tex] lies in the first quadrant.
If we rotate the coordinate [tex](a,b)[/tex] [tex]180^{\circ}[/tex] counterclockwise then the coordinates become [tex](-a,-b)[/tex].
The coordinate [tex](-a,-b)[/tex] lies in the third quadrant.
If we reflect the coordinate [tex](a,b)[/tex] about the [tex]x[/tex]-axis then the coordinates become [tex](a,-b)[/tex].
The coordinate [tex](a,-b)[/tex] lies in the fourth quadrant.
If we reflect the coordinate [tex](a,-b)[/tex] about the [tex]y[/tex]-axis then the coordinates become [tex](-a,-b)[/tex].
The coordinate [tex](-a,-b)[/tex] lies in the third quadrant.
This implies that rotating a figure [tex]180^{\circ}[/tex] counterclockwise is equivalent to transformation of reflecting over [tex]x[/tex]-axis and reflecting over [tex]y[/tex]-axis.
Option (A)
In option (A) it is given that reflection about the line [tex]y=x[/tex] is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.
If we reflect the coordinate [tex](a,b)[/tex] about the line [tex]y=x[/tex] then the coordinates become [tex](b,a)[/tex].
This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.
Therefore, the option (A) is incorrect.
Option (B)
In option (B) it is given that reflection about [tex]y=-x[/tex] is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.
If we reflect the coordinate [tex](a,b)[/tex] about the line [tex]y=-x[/tex] then the coordinates become [tex](-b,-a)[/tex].
This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.
Therefore, the option (B) is incorrect.
Option (C)
In option (C) it is given that reflection about [tex]x[/tex]-axis and [tex]y[/tex]-axis is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.
If we reflect the coordinate [tex](a,b)[/tex] about [tex]x[/tex]-axis and [tex]y[/tex]-axis then the coordinates become [tex](-a,-b)[/tex].
This is same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.
Therefore, the option (C) is correct.
Option (D)
In option (D) it is given that shifting a point [tex]3[/tex] units left and [tex]5[/tex] units down is equivalent to rotating a figure [tex]180^{\circ}[/tex] counterclockwise.
If we shift the point [tex](a,b)[/tex], [tex]3[/tex] units left and [tex]5[/tex] units down the coordinate is [tex](a+3,b-5)[/tex].
This is not same as rotating the figure [tex]180^{\circ}[/tex] counterclockwise.
Therefore, the option (D) is incorrect.
Therefore, the [tex]\fbox{\begin\\\ \bf option (C)\\\end{minispace}}[/tex] is correct.
Learn more
1. Learn more about the rotation of the triangle about the origin https://brainly.com/question/7437053.
2. Learn more about when a triangle is rotated about the origin https://brainly.com/question/2992432.
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Geometry
Keywords: Transformation, rotation, reflection, clockwise, geometry, counterclockwise, -axis, - axis, coordinates, graph, origin, line, degrees, translation, symmetry.
4.5/17 - x = 3/8 solve
Answers
4.5/17 = 3/8 + x.
Then, you subtract 3/8 from both sides, getting 4.5/17 + 3/8 = x, and then you simplify the fraction.
The final answer would be x = 87/136, or 0.64.
Answer:
The value of the equation is [tex]x=\frac{-15}{136}[/tex] Or [tex]x=-0.1102[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]\frac{4.5}{17}- x =\frac{3}{8}[/tex]
We need to solve the provided equation for x.
Add x to both side.
[tex]\frac{4.5}{17}- x+x=\frac{3}{8}+x[/tex]
[tex]\frac{4.5}{17}=\frac{3}{8}+x[/tex]
Subtract 3/8 from both sides.
[tex]\frac{4.5}{17}-\frac{3}{8}=x[/tex]
[tex]x=\frac{4.5}{17}-\frac{3}{8}[/tex]
[tex]x=\frac{36-51}{136}[/tex]
[tex]x=\frac{-15}{136}[/tex]
Or
[tex]x=-0.1102[/tex]
Hence, the value of the equation is [tex]x=\frac{-15}{136}[/tex] Or [tex]x=-0.1102[/tex].
What are the solutions to the equations |x-10|-4=2x
Answers
Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya’s age.
How old is Kevin and Uncle Bob
Answers
17-3 = 14 ( Tonya's age now)
14/2 = 7 ( Kevin's age)
14*3 = 42 ( Uncle Bob's age)
Calculate the area of the figure below using the following information:
Area of triangle ABC = 23.85 square units
Area of triangle ACD = 29.4 square units
Area of triangle AED = 26.25 square units
The area of the Figure ABCDE is ______ square units.
Answers
Area = 23.85 + 29.4 + 26.25 = 79.5 square units
Answer:
Area of pentagon ABCDE = 23.85 + 29.4 + 26.25 = 79.5 unit²
Step-by-step explanation:
Area of pentagon ABCDE is sum of area of triangles ABC, ACD and ADE
Area of pentagon ABCDE = Area of ΔABC +Area of ΔACD + Area of ΔADE
Area of ΔABC = 23.85 unit²
Area of ΔACD = 29.4 unit²
Area of ΔAED = 26.25 unit²
Area of pentagon ABCDE = Area of ΔABC +Area of ΔACD + Area of ΔADE
Area of pentagon ABCDE = 23.85 + 29.4 + 26.25 = 79.5 unit²
What is 19.2×108 minutes in hours? 1.152×1011 h 3.200×109 h 1.152×107 h 3.200×107 h
Answers
To answer this question, you need to know how many minutes in an hour is, then convert the minutes into hours. To do this, you just need to divide the number with 60 minutes/hour. The calculation would be:
19.2×10^8 minutes / (60 minutes/hour) = 0.32 x 10^8= 3.2 x 10^7 hours
Triangle MRN is created when an equilateral triangle is folded in half. What is the value of y?
A. 2√3 units
B. 4 units
C. 4√3 units
D. 8 units
Answers
we know that
If Triangle MRN is created when an equilateral triangle is folded in half
then
[tex]RM=\frac{1}{2}*MN[/tex]
[tex]MN=6+2=8\ units[/tex]
so
[tex]RM=\frac{1}{2}*8=4\ units[/tex]
Applying the Pythagorean Theorem in triangle MRN
[tex]MN^{2}=NR^{2}+RM^{2}[/tex]
we have
[tex]MN=8\ units[/tex]
[tex]RM=x=4\ units[/tex]
[tex]NR=y[/tex]
substitute
[tex]8^{2}=y^{2}+4^{2}[/tex]
solve for y
[tex]y^{2}=8^{2}-4^{2}[/tex]
[tex]y^{2}=48[/tex]
[tex]y=\sqrt{48}=4\sqrt{3}\ units[/tex]
therefore
the answer is the option C
[tex]4\sqrt{3}\ units[/tex]
Answer:
The correct option is C.
Step-by-step explanation:
It is given that triangle MRN is created when an equilateral triangle is folded in half.
It means original equilateral is triangle MNO and NR is a perpendicular bisector. The side length of the triangle is
[tex]MO=NO=MN=MS+SN=2+6=8[/tex]
Since NR is a perpendicular bisector, therefore
[tex]RM=\frac{MO}{2}=\frac{8}{2}=4[/tex]
Using Pythagoras property in triangle MNR,
[tex]MR^2+NR^2=MN^2[/tex]
[tex]4^2+y^2=8^2[/tex]
[tex]y^2=64-16[/tex]
[tex]y=\sqrt{48}[/tex]
[tex]y=4\sqrt{3}[/tex]
Therefore option C is correct.
Including a 8 %8% sales tax, an inn charges $ 135$135 per night. Find the inn's nightly cost before the tax is added.
Answers
Find the value of x in the equation 2√ x
a. –5
b. 1
c. 16
d. 25 11. simplify the expression .
a.
b.
c.
d. + 20 = 15 + 3√ x
Answers
The perimeter of a square garden is to be at least 20 ft but no more than 32 ft. find all possible values for the lengths of its sides using a compound inequality
Answers
20/4 < = (4/4)a < = 32/4
5 < = a < = 8
so the squares perimeter can be at least 5 ft but no more then 8 ft
Answer:
Answer in pic
Step-by-step explanation:
Solve the quadratic equation by taking square roots. Allow for imaginary solutions. Enter your answer in simplest form. Equation: 5x (squared) - 5 = -17
Answers
First add 5 to both sides:
5x^2 = -12
Now, divide by 5
x^2 = -12/5
Take the square root of both sides
x = sqrt -12/5
Because there can't be a square root of a negative number, your answer is:
x = sqrt -12/5 * i
Hope this helps!
The following list shows the items and prices for a restaurant order. Calculate the total amount if there is a 7% tax and the customer leaves a 20% gratuity. 1 appetizer: $7.39 2 entrees: $16.99 each 1 dessert: $5.29 2 drinks: $2.30 each a. $65.82 b. $65.10 c. $54.85 d. $40.60
Answers
7% of $51.26 is $3.59, which adds up to $54.85
20% of $51.26 is $10.25, which, with the tax included here, adds up to $65.10. Hope this helped.
When is it necessary to use three points to name an angle? If CP bisects and DPB , what is the measure of angle CPB?
Answers
In geometry, three points are used to name an angle when there are multiple angles that share the same vertex. If CP bisects angle DPB, angle CPB is divided into two equal angles, and the measure of angle CPB is half of the measure of angle DPB.
Explanation:In geometry, it is necessary to use three points to name an angle when there are multiple angles that share the same vertex. By using three points, we can clearly identify which angle we are referring to. In this case, if CP bisects angle DPB, it means that angle CPB is divided into two equal angles, and CP is one of the dividing lines. Therefore, the measure of angle CPB is half of the measure of angle DPB.
Learn more about Geometry here:https://brainly.com/question/31408211
#SPJ2
number 4 I have absolutely no idea how to do. I generally understand finding distance on the coordinate plane but this has really confused me. Please help.
Answers
Now for Part B, you can create a right triangle by adding a point at -4, -3, and we'll call it, say, T.
Then you can use the Pythagorean's Theorem to find the length of one side of the square.
The Pythagorean's Theorem is [tex] a^{2} + b^{2} = c^{2} [/tex]
A would be the distance between P and T, and B would be the distance between Q and T. So then, a would be 7, and B would be 2.
To fill it in, it would be [tex]7^{2} + 2^{2} = c^{2} [/tex]
or 49 + 4 = [tex] c^{2} [/tex]
or 53 = [tex]c^{2} [/tex]
or [tex] \sqrt{53} [/tex] = x
Which is equal to about 7.28
Now multiply that by 4 to get the perimeter, or 29.12
So the perimeter would be about 29.12
What's the parabola in vertex for for (-5,0) and has a vertex (-2,1)
Answers
hello :
the parabola's equation is : f(x) = a(x+2)²+1
but ; f(-5) = 0
0 = a(- 5+2)²+1
9a+1=0.....a= -1/9
f(x) = (-1/9)(x+2)²+1
The area of a rectangle is 72 cm². The length of the rectangle is 6 cm longer than the width.
What is the width of the rectangle?
2 cm
6 cm
8 cm
10 cm
Answers
length = x+6
Width = x
l×b = Area
(x+6)x =72
x2 +6x=72
x2+6x-72=0
x2+12x-6x-72=0
x (x+12) -6 (x+12)=0
(x+12) ( x-6) =0
x=-12, x=6
since width can't be negative , the answer is x=6.
therefore, the width is 6cm
Answer:
6cm
step-by-step explanation
just dived each number bye 72 to find 12 witch we would get 6cm
The distance formula is d=r/t. how long will it take (in hours) to travel 100 miles at a rate of 22mph? Show all work.
Answers
divide the distance ( 100 miles) by the speed ( 22 mph) to get the time
100/22 = 4.545454 hours (Round to 4.5 hours ?)
if you need hours and minutes multiply 0.545454 by 60 to get the minutes
4 hours 32.7 ( round to 33) 4 hours and 33 minutes
Summer paints a room that has 400 square feet of wall space in 2.5 hours. at this rate, how long will it take her to paint a room with 720 square feet of wall space?
Answers
720 sq ft/160 sq ft = 4.5 hours
Which of the following shows the numbers ordered from least to greatest?
A)0.004, 0.07, 0.6, 0.32
B)0.004, 0.6 0.07, 0.32
C)0.004, 0.07, 0.32, 0.6
D)0.004, 0.32, 0.07, 0.6
Answers
Completely factor the expression.
w^2 - 15w + 54
Answers
If m<1 = 7x + 6 and m<2 = 8x - 6, find the value of x so that p is perpendicular to q
Answers
Answer:
x = 12
Step-by-step explanation:
Given: [tex]\angle 1=7x+6[/tex]
[tex]\angle 2=8x-6[/tex]
∠1 and ∠2 form by two intersection line p and q.
p is perpendicular to q.
Therefore, ∠1 = ∠2 = 90°
So, 7x + 6 = 90°
7x = 84
x = 12
8x - 6 = 90°
8x = 96
x = 12
7x + 6 = 8x - 6
x = 6 + 6
x = 12
So, we get x=12 from all three equations.
hence, The value of x is 12