A quadrilateral has angles that measure 125°, 115°, and 65°.
What is the measure of the fourth angle?
Nicole bought a new TV at Target for $384.87. if the TV was on sale for 25% off and she paid with her red card which earned her another 5% off , and the tax rate is 8.25% what was the original price of the TV ? Be sure to show how you arrived at your answer
A bread company makes 9 types of bread. A restaurant chain ordered 497 loaves of each kind of bread. How many loaves of bread in total did the restaurant chain order?
Kevin is six years older than his twin sisters. The sum of the three children’s ages is the same as their 42 year old dad’s age. How old are the children?
The question involves solving a basic algebra problem to determine the ages of three children. By setting up an equation based on the given information, we find that each twin sister is 12 years old and Kevin is 18 years old.
Explanation:The question revolves around finding the ages of three children, Kevin and his twin sisters, given that Kevin is six years older than his twin sisters and the sum of their ages equals their father's age, who is 42 years old. First, let's denote the age of each twin sister as x. Since Kevin is six years older, his age will be x + 6. The sum of their ages equals their father's age, which is given as 42 years. Therefore, the equation to find their ages will be:
[tex]x + x + (x + 6) = 42[/tex]
This simplifies to:
3x + 6 = 42
Subtracting 6 from both sides gives:
3x = 36
Dividing by 3:
x = 12
So, the age of each twin sister is 12 years, and Kevin's age is 12 + 6 = 18 years.
Which point best approximates square root of 45
Answer:
The point best approximates √45 is C = 6.72
Step-by-step explanation:
We have to show the approximate square value of √45.
By solving √45 = √(5×9) = √5×√9 = 3√5 = 3×2.24 = 6.72
6.72 can be represented as point C on the given number line.
How Do I Solve Question 8 ?
RS=5y+5, ST=3y+7, and RT=12y-20 what is the value of y?
Answer:
-12 or 8
Step-by-step explanation:
Two angles in standard position that have the same terminal side are
Translate into a numerical expression
The product of fifteen and negative three decreased by twelve.
The sum of three cubed and four.
After translating words to numerical form, it is equal to 135.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the value provided in the question,
Product of 15 and another number.
Another number is negative 3 decreased by 12 which means that (12 - 3) = 9
Product in numeric form = 15 × 9 = 135
To know more about expression:
https://brainly.com/question/14083225
#SPJ2
What is the slope of a line that is parallel to the line shown?
Parallel lines have the same slope, so if we find the slope of the line shown, the slope of the line parallel to it will be the same.
To find the slope, we find the rise divided by the run, or the change in x values divided by the change in y values.
slope = m = (y1 - y2)/(x1 - x2) = (3-2)/(0-3) = 1/(-3) = -1/3
Therefore, the slope is -1/3, and so the slope of the parallel line is also -1/3.
Your answer is -1/3.
Hope this helps!
Suppose you feel hungry so you reach for a plum you see in a fruit bowl. explain how both external and internal stimuli are involved in your action
In the given scenario above, the one who will be named as the external stimulus is the action of having to use the sense of sight when you have seen the fruit of bowl. The internal stimulus will be the action of having to feel the hunger.
please answer all questions thank you.
PLS HELP ME ASAP WITH A-C (CORRECT ANSWERS PLS!!) THANK YOU SM!!!!
what operation should be performed first to solve this problem?
the Johnson family can fly from Washington DC to London $18 per mile per person. The distance is 3,663 miles. how much will the trip cost if four people go?
A. addition
B. division
C. subtraction
D. multiplication
For every 4 miles vanessa jogged cody jogged 3 miles if vanessa jogged 1 miles how far did cody have jogged
divide 3 by 4 = 3/4 = 0.75
so Cody jogs 3/4 mile for every 1 mile Vanessa runs
Solve for L: S = B + 1/2L
Isolating L, it is found that the solution for L is given by:
[tex]L = 2(S - B)[/tex]
--------------------------
The equation is:
[tex]S = B + \frac{1}{2}L[/tex]
Leaving everything with L on one side, everything without on the other.
[tex]\frac{L}{2} = S - B[/tex]
[tex]L = 2(S - B)[/tex]
Which is the solution for L.
A similar problem is given at https://brainly.com/question/5123313
The width of a rectangle is 8 inches more than the length. The perimeter is 60. Find the length and width of the rectangle.
please answer this question today itself
Solve for x
3(5x + 4) - 20 - 13x = -4
Value of x is 2, can be determined by algebraic equation.
What is algebraic equation ?It’s a equation for of known and not known constant and we have to find the not known constant value .
3(5x+4) - 20 -13x
= - 4 15x + 12 - 20 - 13x
= - 4 2x -8
= - 4 2x
= 8 - 4 2x
= 4 x
= 2
Hence , the value of x will be 2 .
To learn more about algebraic simplification , click
brainly.com/question/17401094
#SPJ5
You have 12 product displays. Six have 4 shelves and six have 3 shelves. It is store policy to dedicate at least one full shelf to each product. What is the maximum number of products you can have?
Answer: There are 42 products he can have at maximum.
Step-by-step explanation:
Since we have given that
Number of products displays = 12
Number of shelves six products have = 4
Number of shelves six products have = 3
So, total number of shelves first six products have
[tex]6\times 4=24[/tex]
Total number of shelves next six products have
[tex]6\times 3\\\\=18[/tex]
So, the maximum number of products that he can have is given by
[tex]24+18=42[/tex]
Hence, there are 42 products he can have at maximum.
A woman standing on a hill sees a flagpole that she knows is 40 ft tall. the angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. find her distance x from the pole.
A basketball has a radius of 12.5 inchesWhat would be the volume of the basketball?
The volume of a basketball with a radius of 12.5 inches is calculated using the formula for the volume of a sphere (4/3πr³). The result approximates to 8177.083 cubic inches.
Explanation:The volume of a sphere, like a basketball, can be calculated using the formula 4/3πr³. Here, r is the radius of the sphere. As specified, the radius of the basketball is 12.5 inches. So, we just need to plug that into our formula:
Volume = 4/3 * π * (12.5)^3 , value of π is 3.14 approximately.
When you calculate the above expression, you'll find the volume of the basketball is approximately 8177.083 cubic inches.
Learn more about Volume of a Sphere here:https://brainly.com/question/33835247
#SPJ2
Write the equation of the line through the given point. Use slope-intercept form.
(-6,1);perpendicular to y= -6/5 x -4
If it is 10:00 am at your location when it is noon along the prime meridian, what is your longitude
Convert 26.2 mi to kilometers using 1 mi = 1.6 km.
Which of the following is not acceptable form of proof
What is the measure of FSM
The measure of angle FSM 92 degrees.
The given problem can be solved using the concept of Intersecting Lines, specifically the fact that vertical angles are equal.
Here, the angles WSU and FSM form vertical angles at point 'S' as the lines WM and FU intersect at this point.
Given that WSU = (5x+32) degrees and FSM = (7x+8) degrees, since they are vertical angles, we can set them equal to each other.
This gives, 5x + 32 = 7x + 8.
Now, by subtracting 5x from each side, we get 2x = 24.
Thus, dividing by 2 on both sides, we obtain 'x' as 12.
Substitute 'x' values in FSM = (7x+8) degree. So, FSM = (7*12+8) = 92 degrees.
Therefore, the measure of angle FSM is 92 degrees which makes the answer option A. Correct answer.
Learn more about Intersecting Lines here:
https://brainly.com/question/11297403
#SPJ12
The probable question may be:
Line WM and Line FU intersects each other at common point S
The angle between WSU is (5x+32) degree
The angle between FSM is (7x+8) degree
What is the measure of FSM
A. 92degree
B. 93 degree
C. 95 degree
D. 94 degree
neil has 3 partially full cans of white paint. they contain 1/3 gallon 1/5 gallon and 1/2 gallon of paint. about how much paint does neil have in all
Neil has approximately 21/30 gallon of paint in total.
Explanation:To find out how much paint Neil has in total, we need to add up the amounts of paint in each can.
The first can contains 1/3 gallon of paint, the second can contains 1/5 gallon of paint, and the third can contains 1/2 gallon of paint.
To add fractions, we need to find a common denominator. In this case, the common denominator is 30. We can convert the fractions to have a denominator of 30 and then add the numerators:
1/3 gallon + 6/30 gallon + 15/30 gallon = 21/30 gallon.
Therefore, Neil has approximately 21/30 gallon of paint in total.
Final answer:
Neil has a total of 31/30 gallons of white paint when his three cans containing 1/3, 1/5, and 1/2 gallon are added together, which is slightly more than 1 gallon.
Explanation:
Neil has three partially full cans of white paint with quantities of 1/3 gallon, 1/5 gallon, and 1/2 gallon. To find the total amount of white paint Neil has, we simply need to add these fractions together. Adding fractions involves finding a common denominator and then adding the numerators.
In this case, the common denominator for 3, 5, and 2 would be 30, so the fractions would be equivalent to 10/30, 6/30, and 15/30, respectively. Now, we add the numerators:
10/30 + 6/30 + 15/30 = 31/30 gallons
So Neil has 31/30 gallons of white paint in total, which is a little more than 1 gallon when converted from an improper fraction to a mixed number (1 gallon and 1/30 of a gallon).
PLS HELP!!!!
The number line model may be used to simplify which of the following?
A. –1 + 2 = –1
B. –1 + 2 = –3
C. –1 + 2 = 3
D. –1 + 2 = 1
can anyone please factor this v^3+27
The expression v^3 + 27 can be factored as a sum of cubes using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2). In this case, it factors to (v + 3)(v^2 - 3v + 9).
To factor the expression, v^3 + 27, we recognize it as a sum of cubes. The formula for factoring a sum of cubes is:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, a = v and b = 3 since 27 is 3 cubed (3^3).
Identify the cube roots of each term
Apply the sum of cubes formula:
Substitute the values into the formula:
Hence, we get v^3 + 27 = (v + 3)(v^2 - 3v + 9)
So, v^3 + 27 factors to (v + 3)(v^2 - 3v + 9).