Answer:
d
Step-by-step explanation:
The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:
x = 2; y = 5/6
k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,
y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12
Find the range of values of x for which
|2x+1|-x-3<0, where x € R.
By analyzing the inequality and solving, the range of values of x for which the inequality is true is x € (-4/3, 4)
What is domain?Domain is the input to the function.
What is range?Range is the output of the function.
First, we'll consider the case where |2x+1|-x-3<0.
|2x+1|-x-3<0
|2x+1|<x+3
Now we need to take the absolute value of 2x+1, we have two cases to consider:
Case 1:
2x + 1 > 0
2x + 1 < x + 3
2x - x < 3 + 1
x < 4
Case 2:
2x + 1 < 0
-2x - 1 < x + 3
-2x - 1 -x - 3 < 0
-3x - 4 < 0
x > -4/3
Now we must find the intersection between the two cases:
x € (-4/3, 4)
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a radio caller won the grand prize, where the caller gets to
spin a wheel with prizes of $500, $750, $1,250, $21500,
$5,000, $10,000, and $25,000 on a wheel. The probability
the wheel lands on $500 is }, landing on $750 is
crIN
landing on $1,250 is 25,
, landing on $2,500 is 25, landing
on $5,000 is 25, landing on $10,000 is 25, and landing on
$25,000 is
25 •
What is the expected amount of money
the radio caller should win if the caller gets to spin the
wheel once?
O $5,050
O $6,450
O $4,100
O $3,650
Answer: To find the expected amount of money the radio caller should win, you can multiply the prize amount by the probability of winning that prize, and add those products for each prize. The expected value is also known as the mean value.
$500 * 1/8 = $62.50
$750 * 1/8 = $93.75
$1,250 * 1/8 = $156.25
$2,500 * 1/8 = $312.50
$5,000 * 1/8 = $625.00
$10,000 * 1/8 = $1250.00
$25,000 * 1/8 = $3,125.00
Total expected value = $62.50 + $93.75 + $156.25 + $312.50 + $625.00 + $1250.00 + $3,125.00 = $5,050.00
So, the expected amount of money the radio caller should win if the caller gets to spin the wheel once is $5,050.
It's worth to mention that the probability for each prize is the same, but the prizes are not the same so each prize win will be different according to the prize amount.
The expected value doesn't assure that the prize will be won, but it's a good approximation of the prize the caller could win.
Step-by-step explanation:
7. Find the slope and y-intercept of the line given by -6x - 18y = 20.
Answer:
Given,eqn is -6x-18y=20
or,-18y=6x+20
or,y=6x+20/-18
or,y=6x/-18 +20/-18
or,y= - X/3 -10/9
Comparing above eqn with y=mx +c,we get
m= -1/3 and y-intercept (c)=-10/9
*Mark me brainliest
Answer:
slope: -1/3 y-int: -10/9
Step-by-step explanation:
first step is to turn the equation into slope intercept form (y=mx+b)
-6x-18y=20
+6x +6x
-18y=6x+20
divide -18 on both sides
y=-1/3x-10/9
the m is the slope, and the b is the y-intercept
The length of a rectangle is 10 cm what is the width if the area is 60 cm
the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.
what is rectangle ?An example of a quadrilateral is a rectangle, which has four vertices that are all 90 degrees apart and parallel sides that are equal to one another. As a result, it is sometimes referred to as an equiangular quadrilateral. The rectangle is a 2D shape with 4 sides, 4 corners, and 4 right angles. The length of each pair of the diagonal sides of a rectangle is equal, with one pair being longer than the other. If all the sides of a rectangle were the same size, the shape would be referred to as a square.
given
Consequently, the rectangle has a length of 10 cm and an area of 60 cm2.
Since,
Area of a rectangle equals length times width
=60=10*breadth
width is 60/10.
= 6 cm in breadth.
the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.
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HELP ASAP PLS THIS IS VERY IMPORTANT!!!!!!!
Please answer correctly!
Answers to ratios are first one is option B, second one is option A and third one is option C.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
1. Ratio of smoothie size to mangos used for Kim = 8 : 1
Ratio of smoothie size to mangos used for Bri = 24 : 3
= 8 × 3 : 1 × 3
= 8 : 1
Ratio of smoothie size to mangos used for Angela = 32 : 4
= 8 × 4 : 1 × 4
= 8 : 1
So the ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
So the answer is option B.
2. Ratio of width to length of larger canvas = 4 : 6 = 2 : 3
Ratio of width to length of smaller canvas = 2 : 3
So the painting's width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
So the answer is option A.
3. Ratio of students who prefer free time at the beginning of the class to students who prefer free time at the end of the class is 12/19
Total students = 12 + 19 = 31
Out of 31 students, 12 students prefer free time at the beginning of the class and 19 students prefer free time at the end of the class.
So the answer is option C.
Hence the answers on ratios are done.
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50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90
Answer:
3
Step-by-step explanation:
Anything would be greatly appreciated!!
As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.
What is meant by polygon's surface area?The region that a particular polygon occupies in a two-dimensional plane, whether it be a triangle, square, quadrilateral, rectangle, parallelogram or rhombus, hexagon or pentagon, is defined as its area. Depending on how they are shaped, different types of polygons have different areas or formulas for areas. One way to think of a polygonal surface is as a surface made up of polygonal faces. All of the polygons must belong to the same type (triangles, quadrilaterals or whatever). The user must ensure that each polygon's vertices all sit in a plane if the polygons are of a higher order than triangles. The collection of polygons or faces collectively make up the object's "skin." A wide range of solids and surfaces can be graphically represented using this technique.Therefore the correct option is C) 12 + 4√5 square unit
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What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator
Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:
Area = (sqrt(3)/4) * s^2
where s is the length of one of the sides of the triangle.
To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:
s = sqrt(4n/sqrt(3))
Then, you can use the value of s to determine the value of m.
Step-by-step explanation:
If n is a two-digit number, what is the sum of the digits of 99×n?
Answer: The sum of the digits of 99 × n is 27 - 10 = 17.
Step-by-step explanation:
To find the sum of the digits of 99 × n, we can use the fact that 99 × n = 100 × n - n. The sum of the digits of 100 × n is simply n, since the hundreds digit is zero. Therefore, the sum of the digits of 99 × n is equal to the sum of the digits of n - n, which is simply zero.
For example, if n = 37, then 99 × n = 99 × 37 = 3,699. The sum of the digits of 3,699 is 3 + 6 + 9 + 9 = 27. The sum of the digits of 37 is 3 + 7 = 10. Therefore, the sum of the digits of 99 × n is 27 - 10 = 17.
-our classmates were asked to decorate /5 or the bulletn boara In a classroom They divided the section to be decorated equally among the 4 classmates. Whe fraction of the entire bulletin board did each classmate decorate? (5.NF.7)
The fraction of the entire bulletin board decorated by each classmate is N/20.
Fraction of a number.Fraction is a mathematical expression which is made up of denominator and a numerator. So that fractions may generally be categorized into 3 types. These are: proper fraction, improper fraction, and mixed fraction.
Considering the given question, let the size of the bulletin board be represented by N.
The section of the bulletin board to be decorated = 1/5 * N
= N/ 5
There are 4 classmates that has been selected to divide the section to be decorated equally among themselves. So.
Fraction of the board to be decorated by each student = (N/ 5)/ 4
= 1/20 N
The fraction of the board to be decorated by each student is N/20.
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The guidelines for a wheelchair ramp suggest that the ratio of the rise to the run be no greater than 1 : 12
A. Which wheelchair ramps follow the guidelines
A. A ramp with a length of 30 feet and a height of 3 feet
B. A ramp with a length of 20 meters and a height of 0.5 meters
C. A ramp with a length of 384 inches and a height of 32 inches
D. A ramp with a length of 1 feet and a height of 12 feet
B. A wheelchair ramp provides access to a building with a front door that is 2.5 feet above the sidewalk. Which best describes the possible length(s) for the ramp that will follow the guidelines.
Let x represent the length (in feet) of the ramp
A. X < 30
B. X > 30
C. X ≥ 30
D. X ≤ 30
Answer:
Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.
Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.
Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.
Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.
Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.
Therefore, the ramps that follow the guidelines are options A, B, and C.
Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.
To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.
Therefore, the correct answer is C: X ≥ 30.
Step-by-step explanation:
Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach the top speed of 85 mph which roller coaster has a greater top speed
Roller coaster B has greater top speed than roller coaster A.
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given,
speed of roller coaster A = 110ft./s
speed of roller coaster B = 85mph
1 mile = 5280 feet
⇒ 85 mile = 5280 × 85 = 448800 feet
1 hour = 3600 seconds
speed of roller coaster B = 448800/3600 ft/s = 124.67 ft/s
comparing speed of both
Speed of roller coaster B > speed of roller coaster A
Hence, Top speed of roller coaster B is greater than roller coaster A.
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Simplify: -20z^8+ (-2z^8)
Enter the original expression if it cannot be
simplified.
Therefore , the solution of the given problem of expression comes out to be 22[tex]z^{8}[/tex].
Define Expression .A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Here,
Given : -20[tex]z^{8}[/tex]+ (-2[tex]z^{8}[/tex])
=> -22[tex]z^{8}[/tex]
So ,
In order to find the solution we add them
Thus ,
simplification of given expression is:
=> - 22[tex]z^{8}[/tex]
Therefore , the solution of the given problem of expression comes out to be 22[tex]z^{8}[/tex].
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the terms rising action and climax best describe which narrative element?
Rising action and climax are best used to describe the narrative element of Plot.
What are rising action and climax ?The rising action of the novel encompasses all the developments of the characters and the dramatic events that build to the eventual climax. The most thrilling section of the story is the climax, which also marks a turning point in the plot or the objectives of the main character.
Rising action in literature refers to all the incidents that take place in a narrative leading up to the climax. The tale moves along thanks to the mounting action, which also heightens the tension and keeps us interested in what happens next. It comes after the first step of exposition in the plot.
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Solve equation and justify each step 9x-5=3x+7 ?
[tex]9x-5=3x+7[/tex]
Subtract 3x from both sides:
[tex]9x-5-3x=3x+7-3x[/tex]
[tex]6x-5=7[/tex]
Add 5 to both sides:
[tex]6x-5+5=7+5[/tex]
[tex]6x=12[/tex]
Divide both sides by 6:
[tex]\dfrac{6x}{6} =\dfrac{12}{6}[/tex]
[tex]\fbox{x = 2}[/tex]
Answer:
[tex] \sf \: x = 2[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]
Then the value of x will be,
[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]
[tex] \sf \rightarrow \: 9x - 3x = 7 + 5[/tex]
[tex] \sf \rightarrow \: 6x = 12[/tex]
[tex] \sf \rightarrow \: x = \frac{12}{6} [/tex]
[tex] \sf \rightarrow \: x = 2[/tex]
Hence, the value of x is 2.
Jorge gives 3 chocolate bars to his friend. HE GIVES 1/12 OF CHOCOLATE BAR TO EACH FRIEND. HOW MANY FRIENDS DOES HE GIVE A PIECE OF CHOCOLATE TO
Find 45% of 60???????
Answer:
27
Step-by-step explanation:
To find 45% of 60, you can multiply 60 by 0.45
60 x 0.45 = 27
45% of 60 is 27.
7. A group of friends orders pizza at a restaurant. Each person gives some money to Chris before they order.
a. Chris has $63 to spend on the order, including tax. The tax at the restaurant is 5%. What is the maximum cost of food the group can order and not go over $63? Explain your reasoning.
b. Chris wants to leave a 15% tip on the price of the food, calculated before sales tax. What is the maximum cost of food the group can order and not go over $63? Explain.
In a week, an airline operates a flight from San Francisco to New York once a day. The total travel times for this week are:
Sunday: 343 min.
Monday: 314 min.
Tuesday: 401 min.
Wednesday: 341 min.
Thursday: 359 min.
Friday: 407 min.
Saturday: 378 min.
What was the range of flight times for the route that week?
a. 66 min
b. 93 min
c. 29 min
d. 87 min
Answer:
To find the range of flight times, you need to find the difference between the shortest and longest flight times. The shortest flight time was on Monday at 314 minutes, and the longest flight time was on Friday at 407 minutes. The range is 407 - 314 = 93 minutes. The correct answer is therefore (b) 93 min.
Step-by-step explanation:
What do you say back to someone who said: “ Nobody understands how it is to be everyone’s go to and have no one to care for you. “?
Answer: just be positive
Step-by-step explanation:
the cost,y, of red grapefruit can be represented by the equation y=2x, where x is the number of pounds of red grapefruit. the graph shows the cost of pink grapefruit. which type of grapefriut costs more per pound?
We can conclude that, if --
m{pink} > 2 : The cost (y) of red grapefruit is less than cost (y) of pink grapefruit.m{pink} < 2 : The cost (y) of red grapefruit is greater than cost (y) of pink grapefruit.What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that the cost (y) of red grapefruit can be represented by the equation y = 2x, where {x} is the number of pounds of red grapefruit. Also the graph shows the cost of pink grapefruit.
The cost (y) of red grapefruit can be represented by the equation y = 2x. So, we can write that the cost per unit pound of red grape is $2. The graph of the pink grapefruit is not given, but its slope {m} will tell us its costs per pound.
Now, if -
m > 2 : The cost (y) of red grapefruit is less than cost (y) of pink grapefruit.m < 2 : The cost (y) of red grapefruit is greater than cost (y) of pink grapefruit.Therefore, we can conclude that, if -
m{pink} > 2 : The cost (y) of red grapefruit is less than cost (y) of pink grapefruit.m{pink} < 2 : The cost (y) of red grapefruit is greater than cost (y) of pink grapefruit.To solve more questions on straight lines, visit the link below -
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PLEASE HELP ME ASAP
Select all the key features of the graph of the equation.
The key features of the graph of the given equation -8x + 20y = 240 include the following:
D. As x → -∞, y → ∞.
E. The y-intercept is (0, 12).
H. The x-intercept is (-30, 0).
How to determine the key features of this equation?Making y the subject of formula in order to determine the slope, we have:
20y = 8x + 240
Dividing both sides of the equation, we have:
y = 8x/20 + 240/20
y = 8x/20 + 12
Therefore, the slope is equal to 8/20.
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
When x = 0, the y-intercept is given by;
20y = 8(0) + 240
y = 240/20
y = 12.
Therefore, the y-intercept is equal to (0, 12).
When y = 0, the x-intercept is given by;
-8x + 20(0) = 240
x = -240/8
x = -30
help me with this question please
Answer:
[tex] \sf \: d) \: 82[/tex]
Step-by-step explanation:
Given information,
→ d = 10
→ u = 7
→ e = 3.2
The expression is,
→ d(e + 5)
Let's evaluate the expression,
→ d(e + 5)
→ 10(3.2 + 5)
→ 10 × 8.2
→ 82
Hence, option (d) is correct.
Answer:
Option D) 82
Step-by-step explanation:
Given ,
d = 10
u = 7
e = 3.2
To Find : [tex]d(e+5)[/tex]
Applying the values in the equations we get
[tex]10(3.2+5)\\[/tex] Applying Distributive property
[tex]32+50 = 82[/tex]
Hence , Option D) is the answer
Ellie brought 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad. How much did she spend?
Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The amount is not given for each hot dog, hamburger and potatos.
But Ellie brought 2 packs of hot dogs ,
3 lbs of hamburger, and
2 lbs. of potato salad
Let us consider each hot dog is $6
Hamburger is $5.6 and potatoes is $4.5
Total amount is 2(6)+3(5.6)+2(4.5)
12+16.8+9
$37.8
Hence, Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
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2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5
A=2,B=1/2 and C=0
A=1,B=0 and C = 5
O A=1/4,B=3/4 and C=0
Answer:the third one
Step-by-step explanation:
A line has a slope of 3/8 and passes through the point (15.2,-7)
The equation of the line in point-slope form is???
ANSWERS↓↓
Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)
where:
m is the slope.(x₁, y₁) are the coordinates of the point.Equation of a line in this caseIn this case, you know:
A line has a slope of 3/8.The line passes through the point (15.2,-7).The point-slope form of the line is written as:
y- (-7)= 3/8(x- 15.2)
y + 7= 3/8(x- 15.2)
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3 1/7 x [3 1/3 x (2/3+1/6) -1 5/18] ÷2 3/7 =?
Step-by-step explanation:
3 1/7 × [3 1/3 × (2/3 + 1/6) - 1 5/18] ÷ 2 3/7
well, first we have to bring everything to true fractions.
then we need to bring all fractions we need to add or subtract to the same denominators.
and then we simply calculate.
3 1/7 = (3×7 + 1)/7 = 22/7
3 1/3 = (3×3 + 1)/3 = 10/3
1 5/18 = (1×18 + 5)/18 = 23/18
2 3/7 = (2×7 + 3)/7 = 17/7
22/7 × [10/3 × (2/3 + 1/6) - 23/18] ÷ 17/7
to be able to add 2/3 and 1/6 we need to bring the to the same denominator, with its simply 6.
2/3 + 1/6 = 2/2 × 2/3 + 1/6 = 4/6 + 1/6 = 5/6
22/7 × [10/3 × 5/6 - 23/18] ÷ 17/7
22/7 × [50/18 - 23/18] ÷ 17/7
22/7 × 27/18 ÷ 17/7
22/7 × 27/18 × 7/17
22/17 × 27/18 = 22/17 × 3/2 = 66/34 = 33/17
so, the result is 33/17 = 1 16/17
A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model and $50 to buy each upgraded model from the phone company. On Tuesday, the store has $1,800 in sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models did the store sell on Tuesday?
6 upgraded phones
10 upgraded phones
15 upgraded phones
42 upgraded phones
Answer:
Step-by-step explanation:
C.) 15 upgraded phones
A store is designing the space for rows of nested shopping carts
express 1.21 as percent
Answer: 121%
Step-by-step explanation:
move the decimal place two to the right