The distance between Noor's house and her grandparent's house is 37.40 miles or if rounded off to the nearest tenth, it will be 40 miles using the estimation concept.
As per the question statement, Noor’s family is meeting her grandparents at a restaurant and the restaurant is 24.5 miles from Noor’s house but this is 65.5% of the distance from Noor’s house to her grandparents’ house.
We are supposed to find the distance between Noor's house and her grandparent's house. We will use the concept of estimation.
Distance between Noor's house and restaurant = 24.5 miles
Let distance between Noor's house and her grandparent's house be "x" miles.
So the distance between grandparent's house and restaurant = x - 24.5
Now it is given that 24.5 miles is 65.5% of the distance from Noor’s house to her grandparents’ house.
So, 65.5% of x = 24.5
(65.5*x)/100 = 24.5
65.5*x = 2450
x = 2450 / 65.5
x = 37.40 miles
If rounded off to the nearest tenth mile, we get
x = 40 miles.
So, the distance between Noor's house and her grandparent's house is 37.40 miles or if rounded off to the nearest tenth, it will be 40 miles.
Estimation: Having an approximate estimate of something's worth, number, size, or extent is referred to as estimation in mathematics.To learn more about this Estimation click on the link given below:
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Which relation is also a function?
check the pic!!
PLEASE HELP!
Answer:
B
Step-by-step explanation:
I cannot see option D but regardless, C is a function for the following reasons
A function y = f(x) is a relationship in x such that f(x) has only 1 value for a value of x.
In A, we see that for x = -1 we have y = 2 and y = 4 for a single value of x = -1
That alone is sufficient to dismiss this as a function. If that wasn't bad enough you see that y = -3 and -4 for x = 2
In C we see the same problem
For x = 5 there are two value of y = -3 and -2
So we can disregard C
In B we can see a definite pattern
Between x = -2 and x = 0 we see that y increases by 1 unit for every increase of 1 unit in x. This is a linear relationship with a slope of + 1
Between x = 0 and x = +2, for every increase of 1 unit in the x-value, the y-value decreases by 1 unit. This is also a linear relationship but with a slope of -1
In particular this is what is known as a piecewise function. Its function expression is different for different intervals of x value
It can be expressed as follows
f(x) = x + 2 for -2 ≤ x ≤ 0
= -x + 2 for 0 ≤ x ≤ 2
how many slices are there in 3 pounds of ham
Answer:
there are 60 slices of ham
Step-by-step explanation:
The playing surfaces of two football tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?
The ratio of the areas is ?:?
The area ratio is 100:49.
The ratio of areas equals the ratio of squares of matching sides.
Let's put this fraction of comparable ratios into an equation and then input in our two known values to get our two unknown values:
(10)2 : (7)2 = 100 : 49
The ratio of two identical figures areas is equal to the square of the ratio of their corresponding sides.
For instance, if the ratio of the respective widths of two comparable rectangles is 2:3, the ratio of their areas is
22:32=4:9: 2 = 4: 9
Hence the ratio of the areas is 100 : 49
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What is the slope of the linear equation that has the values shown in the table? Show your work.
X
-4
-2
0
2
4
y
15
9
3
-3
-9
Answer: -3
Step-by-step explanation:
The slope can be calculated by the equation
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
So choosing any two points, we can find the slope.
I'll chose (0,3) and (2,-3).
-3 - 3 = -6
2 - 0 = 2
So, the slope is -6/2 which simplifies to -3.
Write 3.6 × 10³ as a product of powers of its prime factors.
Answer:
2,3,5
Step-by-step explanation:
First, 10^3 is 1000 and 3.6 x 1000 = 3600.
So, the factors of 3600 are 2,3,5
Through this photo if this helps:
3.6 x 10³ as a product of the powers of its prime factors is
[tex]2^4[/tex] x 3² x 5²
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3.6 x 10³
This can be written as,
= 3.6 x 1000
= 36/10 x 1000
= 3600
Now,
3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5
2, 3, and 5 are prime numbers.
This means,
[tex]2^4[/tex] x 3² x 5²
Thus,
The powers of prime factors are
[tex]2^4[/tex] x 3² x 5²
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How many natural numbers less than 200 are divisible by 4 but not 3?
There are 32 natural numbers less than 200 that are divisible by 4 but not 3.
Natural numbers are those positive numbers which start from one and goes to infinity.
Here, we have to find the natural numbers divisible by 4 but they should not be divisible by 3.
First, we will find all the natural numbers that are less than 200 and divisble by 4.
We will find all those numbers which can be divided by 4 starting from 4 till 200.
Such numbers ae 4,8,12,16,20,24,28,32,36,40,44,48,52,54,56,60,64,68,72,76,80,84,88,92,94,96,100,104,108,112,116,120,124,128,132,136,140,144,148,152,154,156,160,164, 168, 172,176,180,184,188,192,194,196, 200
There are total 50 numbers which are divisible by 4 which are less than 200
Now we will find among these which are divisible by 3
We will find all those numbers which are divisible by 3 starting from 4 till 200 because 4 is the first number which is divisible by 4.
These are 12,24,36,48,54,60,72,84,96,108,120,124,132,144,156,168,180,192
These are in total 18
Now, we will subtract them
Answer is 50-18 = 32
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Write a percent for which the percent is greater than 100 and the part is known. Use the percent equation to solve your problem to find the whole.
Answer:
a percent greater than 100 could be 150%.
Lets say part is 15
15 is 150% of what?
is/of=%/100
fill in that and cross multiply to find "of"
15/x=150/100
x should equal 10.
I'm not sure exactly what your asking but if you are supposed to just make up numbers? And solve for it? That should be what you're looking for. Good luck I guess!
Step-by-step explanation:
The arc corresponding to a central angle of 65 in a circle of radius 10 feet measure feet.
The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.
What is Arc of circle?
The arc of circle is defined as the segment of the circumference of a circle.
Given that;
Central angle = 65°
Radius of a circle = 10 feet.
Now, To find arc of circle, we change measure of angle in radian as;
1 degree = π/180 radian
65 degree = 65 x π/180 radian
65 degree = 1.134 radian
Since, Arc = Angle x radius
Arc = 1.134 x 10
Arc = 11.34 feet.
Thus, The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.
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Orlando makes a trail mix for his hiking trip. He uses 1 \frac{5}{6}1 6 5 pounds of cashews, 1.6 pounds of sunflower seeds, 1 \frac{1}{8}1 8 1 pounds of raisins, and 1.625 pounds of pecans. Which answer choice shows these weights in order from least to greatest ? DUE TODAY NEED NOW WILL GIVE BRAINLIEST
The ordering of the weight from the least to greatest will be 1 1/8, 1.6, 1.625 and 1 5/6.
How to illustrate the information?From the information, Orlando uses 1 5/6 pounds of cashews, 1.6 pounds of sunflower seeds, 1 1/8 pounds of raisins, and 1.625 pounds of pecans..
It should be noted that 1 5/6 will be 1.833.
It should be noted that 1 1/8 will be 1.125
Therefore, it van be seen that the least of the pounds of raisins and the greatest is pounds of cashew.
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In 1980 approximately 12,400,000 students were enrolled in US universities and colleges in 2017 that number had increased by about 65% what was the approximate number of students enrolled to US universities and colleges in 2017?
The number of Students enrolled in US universities & Colleges in 2017 will be 20, 460,000
What is basic algebra?Mathematical formulas can be used to solve issues or situations in the real world thanks to the area of mathematics known as algebra. To create a valid mathematical expression, you need variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Calculus, trigonometry, and coordinate geometry are just a handful of mathematics subjects that use algebra. A simple algebraic equation is 2x + 4 = 8. Operations on variables and constants, such as addition, subtraction, multiplication, and division, result in algebraic expressions.
Students' enrollment in US universities
in 1980 = 12, 400, 000
In 2017 the percent increase = 65%
So,
65% of 12, 400,000
= 12,400,000 X 65%
= 8,060,000
The number of Students enrolled in US universities & Colleges in 2017 will be
= 12, 400,000 + 8,060,000
=20, 460,000
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I NEED IT FAST!!! HURRY PLEASE Which equality represents y = 3x2 + 2 written in function notation?f(y) = 3x2 + 2f (x) = 3x2 + 2f(3) = x2 + 2f(2) = 3x2
y =3x^2+2
In the function notation we write f(x) instead of y.
So, for this case:
f(x)=3x^2+2
A scooter travels 30 feet in 2 seconds at a constant speed
Answer:
5 ft/sec
Step-by-step explanation:
I don't see a question, but I'll assume it wants the speed of the scooter, in feet/sec.
(30 feet0/(2 seconds) = 15 ft/sec
A group of friends wants to go to the amusement park. They have no more than $280 to spend on parking and admission. Parking is $20, and tickets cost $40 per person, the including tax. Write and solve an inequality which can be used to determine x, number of people who can go to the amusement park.
The inequality will be written as 40x + 20 < 280.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that a group of friends wants to go to the amusement park. They have no more than $280 to spend on parking and admission. Parking is $20, and tickets cost $40 per person, including tax.
The inequality will be written as:-
40x + 20 < 280.
Here, x is the number of persons.
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On the bright side, the rain made the grass grow in the neighborhood. You like to mow the neighbor's lawns, and you charge $25 per lawn you mowed 6 lawns how much did u make mowing 6 lawns
Using the concept of unit rate we calculate the cost of mowing 6 laws as $150 .
Rates and ratios frequently vary with regard to time, geography, a particular object (or group of objects), etc. They are typically mathematical functions as a result.
When considered broadly, a rate (or ratio) can be thought of as either a benefit-cost ratio or an output-input ratio. For instance, in the transportation sector, miles per hour is the amount of miles travelled (or benefit) for every hour spent travelling (at a cost in time) (at this velocity).The charge to mow one lawn is $25 . This is the unite rate of the lawn.
Therefore the charge for 6 lawns is = $25 × 6 = $150
Hence the cost to mow 5 lawns is $150.
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x^2-y=7 and y-5x=-11 The system of equations above has two solutions. The solution in Quadrant 1 is (A,B) and the solution in Quadrant 4 is (C,D) . Find the values of (A,B), (C,D)
By solving the system of equations, and seeing in which quadrant is each solution, we conclude that:
(A, B) = (4, 9)(C, D) = (1, -6).How to solve the system of equations?Here we get the following system of equations:
x^2 - y = 7
y - 5x = -11
If we isolate the same variable in both of the equations, then we can equate them, so I will isolate "y" in both of the equations of the system.
y = x^2 - 7
y = -11 + 5x
Now we can write:
x^2 - 7 = -11 + 5x
So we have the quadratic equation, this can be rewritten as:
x^2 - 7 + 11 - 5x = 0
x^2 - 5x + 4 = 0
Using the Baskhara's formula (or the quadratic formula), we will get the two solutions for x.
[tex]x = \frac{5 \pm \sqrt{(-5)^2 - 4*1*(4)} }{2*1}[/tex]
The solutions are:
[tex]x = \frac{5 \pm \sqrt{(9} }{2} \\\\x = \frac{5 \pm 3}{2}[/tex]
So we get:
x = (5 + 3)/2 = 4
x = (5 - 3)/2 = 1
Evaluating the linear equation in these values of x:
y = -11 + 5*4 = -11 + 20 = 9
y = -11 + 5*1 = -6
So we get the coordinate pairs (4, 9) which is on the first quadrant because both values are positive, and (1, -6) which is on the fourth quadrant because the x-value is positive and the y-value is negative.
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Please do number 5 thank you
Answer:
b step 2 is incorrect answer
I need help with this please I know someone out there knows how to do this.
The solution to the equation of the graph are represented below
Equation of LineTo solve this problem, we simply need to use a graphing calculator to plot the graph of the straight line.
The points of at which they touch both x- axis and y-axis are highlighted in the graph.
The first equation is represented by the graph with red line while the second equation is represented by the graph with blue line.
Kindly find the attached solution as graph below
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Find the volume of the rectangular prism.
8 cm
8 cm
3 cm
Answer: Volume = 192
Step-by-step explanation:
Volume of Rectangular Prism = Length x Width x Height
Volume = 8x3x8
Volume = 192
Karina has 10 yards of fabric to make tote bags. If she makes 4 equally sized tote bags, how much fabric does she use for each?
tulongGGGGGGG
Karina use fabric for each bag is 2.5 yards.
What is unitary method?The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of units.
Given that,
Karina has 10 yards of fabric, she makes 4 equally sized bags
fabric does she use for each = [tex]\frac{10}{4}[/tex]
= 2.5 yards
It means, Karina use fabric for each bag is 2.5 yards.
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Solve the following equation for x. Express your answer in the simplest form.
-2 (-2x + 3) = 4x - 6
The equation has blank
and it is x = blank
Answer: all real numbers
Step-by-step explanation:
-2(-2x + 3) = 4x - 6
distribute the -2
4x - 6 = 4x - 6
add 6 to both sides
4x = 4x
x = all real numbers
Identify the graph that shows the feasible region for the following constraints.
X≥0
yzo
4x + 2y ≤ 40
2x + 4y ≤ 32
Answer:
The feasible region is bounded by the corner points:
(0, 0)(0, 8)(8, 4)(10, 0)Step-by-step explanation:
Given constraints:
[tex]\begin{cases}x \geq 0\\y \geq 0\\4x+2y \leq 40\\2x+4y \leq 32\end{cases}[/tex]
Rewrite the third and fourth inequalities to isolate y:
[tex]\begin{aligned}\implies 4x+2y & \leq 40\\2y & \leq -4x+40\\y & \leq -2x+20\end{aligned}[/tex]
[tex]\begin{aligned}\implies 2x+4y & \leq 32\\4y & \leq -2x+32\\y & \leq -\dfrac{1}{2}x+8\end{aligned}[/tex]
When graphing inequalities:
< or > : dashed line.≤ or ≥ : solid line.< or ≤ : shade under the line.> or ≥ : shade above the line.Therefore:
Draw the line x = 0 and shade above it (to the right).Draw the line y = 0 and shade above it.Draw the line y = -2x + 20 and shade below it.Draw the line y = -¹/₂x + 8 and shade below it.The feasible region is the set of all possible values of the variables which satisfy the constraints.
Therefore, the feasible region is bounded by the corner points:
(0, 0)(0, 8)(8, 4)(10, 0)Find and interpret the slope for the real-world situation. Enter the slope in simplest form.
1) Let's find the slope plugging those points into that formula:
Since we have a linear equation, with its linear coefficient "b" = 0, then we can write this function as y=15x
m=15
So the money earned increases by $ 15 for each hour worked
help mee this is an ireadu question
Answer:
168=18·x+12·2x
Step-by-step explanation:
try and split the shape into 2 rectangles to picture it .
11. Number Sense find 8 × 600, multiply 8 and 6, then write blank zeros to form the subject
zeros to form the product.
Answer:
2 zeros
Step-by-step explanation:
600 has 2 zeros and 8 has no zeros. 0+2= 2. 2 zeros
What is the area of the shaded sector of the circle?
Answer: Where is the picture
Step-by-step explanation:
Find the equation of the line that isperpendicular to the line y = 5x + 6 and pass through the point (-3,3). Write the equation in point slope form.
The equation of line perpendicular to the given line is 5x - y = - 18 OR y = 5x + 18
Given: The line y = 5x + 6 and it passes through the point ( -3, 3)
And we know the general equation of line is y = mx+c
On comparing the above mentioned two equations we get;
m = 5 that is slope is 5.
Also to find a equation of line perpendicular to the given line
we know the general equation
that is y - y₁ = m ( x - x₁ )
y - 3 = 5 ( x - ( -3) )
y - 3 = 5 ( x + 3 )
On further calculating we get
y - 3 = 5x + 15
5x - y = - 18 Or y = 5x + 18
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Keilantra is a waitress at a restaurant. Each day she works, Keilantra will make a guaranteed wage of $40, however the additional amount that Keilantra earns from tips depends on the number of tables she waits on that day. From past experience, Keilantra noticed that she will get about $14 in tips for each table she waits on. How much would Keilantra expect to earn in a day on which she waits on 17 tables? How much would Keilantra expect to make in a day when waiting on t tables?
HURRY AND NO BAD ANSWERS!
If Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,
Part 1
If Keilantra waits on 17 tables, the she will earn $278
Part 2
If Keilantra waits on t tables, the she will earn 40+14t
The guaranteed wage she earn = $40
The amount she earn for each table she waits as tip = $14
Part 1
The number of table she waits on = 17 tables
Then the amount she earn in a day = The guaranteed wage she earn +The amount she earn for each table she waits as tip × The number of table she waits on
= 40+14×17
= 40+238
= $278
Part 2
The number of table she waits on = t tables
Then the amount she earn in a day = 40+14t
Hence, if Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,
Part 1
If Keilantra waits on 17 tables, the she will earn $278
Part 2
If Keilantra waits on t tables, the she will earn 40+14t
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A roll of paper is L m long. N pieces each of length rm are cut off the roll. If the length of paper left is Pm, write a formula for P. Use your formula to find the length of paper left from a roll that was 20 m long after 10 pieces, each of length 1.5 m, are cut off. idor each of length asm. If the perimeter
Length of paper left is 5 m.
What is length?
Distance is measured by length. Length is a quantity having the dimension distance in the International System of Quantities. Most measuring systems use a base unit for length from which all other units are derived. The metre is the basic unit of length in the International System of Units (SI). The greatest extended dimension of a stationary item is typically believed to be its length. This is not always the case, as it may depend on the location of the item. Height, sometimes known as vertical length or vertical extent, and width, breadth, or depth are all words used to describe the length of a stationary object. When length is the longest dimension, width or breadth generally refer to the shorter one.
Length of paper left = 20-(1.5x10) = 20-15 = 5 m.
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I need help solving the following systems of equations.
a.
y = 5 − x
4x + 2y = 10
b. x = −5y − 4
Please and thank :)
The solution for the system of linear equations y = 5 − x and 4x + 2y = 10 are x = 0 and y = 5
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
y = 5 − x
4x + 2y = 10
Substitute y = 5 − x in the equation 4x + 2y = 10
So, we have the following equation
4x + 2(5 - x) = 10
Open the brackets
4x + 10 - 2x = 10
Evaluate the like terms
2x = 0
Divide through by 0
So, we have
x = 0
Substitute x = 0 in y = 5 - x
y = 5 - 0
Evaluate the like terms
y = 5
Hence, the solution of the equations are x = 0 and y = 5
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how to graph y=3-4x
I have tried (0,3) (3,-9) and other possibilities, but they won't work
Answer:
This is a linear function and you have to rewrite the equation to the standard form y= mx+q, so y= -4x + 3 where -4 is m and tells you the slope of the function while 3 tells you where it intercepts the y axis. Now you have to write the points of the function taking some x values and obtaining the relative y. For example if x is 0 then y= 3-4(0) which is equal to 3. If x is 1 y is -1, if X is 2 then y is -5 and you continue like that until you want. However, to draw the line you could just stop to two points.