Answer:
A,C,D
Step-by-step explanation:
Each night Liz spends at least 45 minutes and no more than 120 minutes on her phone.
Choose which double inequality describes how long Liz spends on her phone each night.
"n" will be used as your variable.
pls help me its due today
Using the given information, we can write the compound inequality for the variable n:
45 ≤ n ≤ 120
How to write the inequalities?
Here we know that Liz spends at least 45 minutes and no more than 120 minutes on her phone.
So if we define the variable n as:
n = number of minutes that Liz spends on her phone.
We know that n must be larger than or equal to 45, so we can write the first inequality:
45 ≤ n
And we also know that it must be smaller than or equal to 120, then the other inequality is:
n ≤ 120
Combining the two we can write the compound inequality:
45 ≤ n ≤ 120
That is what we wanted to get.
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
The continent of Australia is 8,508,238 sq. km while it's largest island, New
Guinea, is 787,878 sq. km.
How much larger is Australia?
OA) 9,296,116 sq. km
O B)
7,720,360 sq. km
OC) 7,720,260 sq. km
OD) 7,719,360 sq. km
Answer:
B) 7,720,360 sq. km
Step-by-step explanation:
8,508,238 - 787,878 = 7,720,360 sq. km
Hope this helped :)
Please help me thank you :))))
Answer: y= (2/3)x - 2
Step-by-step explanation:
The biggest way to remember equations like these is to know rise over run which means however many times it goes up until it intersects with both x and Y will be on the top of the fraction and however many times it goes to the right until it intersects with both x and y will be on the bottom of the fraction. So since it hits (0, -2) then intersects at (3,0) it will be 2/3x and the Y is where X equals zero so it would be -2. Hope that helps!
Answer:
y = [tex]\frac{2}{3}x - 2[/tex]
Step-by-step explanation:
Step 1:
Choose two points on the graph, (x1, y1) and (x2, y2), to find the slope.
Find the ratio between change in y-values and change in x-values.
m = (y2 - y1) / (x2 - x1)
Points I picked:
(x1, y1) = (0, -2)
(x2, y2) = (3, 0)
Then,
m = (0 - (-2)) / (3 - 0)
m = 2/3
Step 2 :
Find the y-intercept from the graph. That is the point at which the line intersects the y-axis.
The y-intercept is -2.
b = -2
Step 3 :
Use the slope (m) and y-intercept (b) to write the equation in slope-intercept form:
y = mx + b
Substitute m = 2/3 and b = -2
y = 2/3 x - 2
Are the figures congruent?
Which function has the following domain and range?
Domain: {-5, -3, 0, 3, 11)
Range: {4, 0, 2}
O {(-5, 4), (3, 0), (0, 2), (3, 5), (10, -1)}
{(-4,-3), (2, 11), (0, 3), (-4,-5), (0, 0))
O {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
O ((-5, 11), (-4,2}
-
The function which have Domain:{-5, -3, 0, 3, 11} and Range:{4, 0, 2} is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}.
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
What is domain?
The domain of a function is the set of values that we are allowed to plug into our function.
What is range?
The collection of potential output values for a function is known as its range. For instance, the range is the non-negative real numbers for the function fn(x)=x2 on the domain of all real numbers (x ∈ R), which may be represented as fn(x)≥0 (or [0,∞] using interval notation).
Given:
Domain: {-5, -3, 0, 3, 11)
Range: {4, 0, 2}
If the input of function is a and output is b then it is defined by (a, b).
a always belong to domain and b from range of function.
∴ By using given domain and range set of our answer is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
Know more about function, click on link:
https://brainly.com/question/22340031
#SPJ1
Answer:our answer is {(3,0), (-3,-4), (11, 2), (0,4), (-5, 0)}
Step-by-step explanation:
The purchase price of a diamond ring increases by £20 when the rate of VAT is increased from 12% to 20%. Find the original purchase price of the ring
The original price of the ring is £250.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, the purchase price of a diamond ring increases by £20 when the rate of VAT is increased from 12% to 20%.
Let the original price of the ring be x, then according to question,
120% of x - 112% of x = 20
1.2x - 1.12x = 20
0.08x = 20
x = 20/0.08
x = 250
Hence, The original price of the ring is £250.
For more references on the percentage, click;
https://brainly.com/question/24159063
#SPJ1
Rotation of a Point
What is the image of the point (-7, 9) after a rotation of 270° counterclockwise
about the origin?
(00)
The highlighted point is (9, -7) . A shape or item is said to be rotated when it is spun around a central point (center) without being moved in any other direction. Size and shape are unaffected by rotation. Basic Transformations in Geometry.
What does it mean to rotate around a point?A shape or item is said to be rotated when it is spun around a central point (center) without being moved in any other direction. Size and shape are unaffected by rotation. Basic Transformations in Geometry.
If the picture is the point (-7, -9)
Detailed explanation:
When the point (x, y) rotates 90 degrees counterclockwise with respect to the origin, its image is (-y, x)
When the point (x, y) rotates 180 degrees counterclockwise around the origin, its image is (-x, -y)
The picture of the point (x, y) if it were rotated 270 degrees counterclockwise with respect to the origin is (y, -x)
The highlighted point is (9, -7)
∴ x = 9 and y = -7
The provided point is turned 270 degrees counterclockwise with respect to the origin.
Utilizing the third rule listed above
The illustration of the point is (y, -x)
That is to say, alter the x-sign coordinate's before switching them.
∵ x = 9 and y = -7
The illustration if the point is (-7,-9).
To learn more about counterclockwise refer to:
brainly.com/question/28354740
#SPJ1
A square patio had the same number of feet added to its length and width. The
equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet,
where a was the length and width of the original patio, in feet. How many feet were
added to the length and width of the patio?
The required feet added to both the length and width of the patio is 6 feet.
Given that,
A square patio had the same number of feet added to its length and width. The equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet, where 'x' was the length and width of the original patio, in feet.
Here,
According to the question,
A(x) = x² + 12x + 36
A(x) = x² + 6x + 6x + 36
A(x) = (x + 6)(x + 6)
Length = width = x + 6
Thus, the required feet added to both the length and width of the patio is 6 feet.
Learn more about the area here:
https://brainly.com/question/27934373
#SPJ1
Which relation is a function?
Answer:
The bottom right
Step-by-step explanation:
A relation is just a set of ordered pairs. A function is a special relation. In a function every input (x) has only one output (y).
You can use the vertical line test. If you took your pencil and vertical passed over the graph left to right. If there is any point that more than one point would be under the pencil, the relation is not a function.
Which triangle congruence postulate would be used to prove the following triangles congruent?
1. SSS
2. HL
3. AAS
4. SAS
According to the SSS Postulate, two triangles are congruent if three of one triangle's sides are congruent with three of another triangle's sides.
Explain about the Congruence postulate?
A postulate is an assertion that is not backed by any evidence. Axiom is another name for a postulate. For instance, you would believe Pam if she said that all of her siblings were at least five feet one tall since you are aware of her height and that of all of her siblings, who are all taller than her.
When two figures or objects in geometry have the same shapes, sizes, or are mirror images of one another, they are said to be congruent.
Shapes that are identical to one another are said to be congruent. Both the matching sides and the corresponding angles match. We must examine all of the shapes' angles and sides in order to accomplish this. Two shapes that are similar to one another can be stacked perfectly.
To learn more about Congruence postulate refer to:
https://brainly.com/question/29268421
#SPJ13
write an equivalent ratio for each given ratio.
Answer:
what are the given ratio?
Step-by-step explanation:
Joe has eaten 3/5 of pizza. Jane has eaten 1/6 of a pizza. How many times more pizza has joe eaten than Jane?
Joe has eaten 3.6 times more pizza than Jane has eaten.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Joe has eaten 3/5 of the pizza. Jane has eaten 1/6 of a pizza.
Divide the fraction number 3/5 by the fraction number 1/6. Then we have
⇒ (3/5) / (1/6)
Simplify the expression, then we have
⇒ (3/5) x 6
⇒ 3.6
Joe has eaten 3.6 times more pizza than Jane.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
-1/2u+3/5=1/6 What is u?
Using the simplification, the value of u is 13/15.
In the given question we have to find the value of u.
The given expression is -1/2u+3/5=1/6
Simplifying the given expression to find the value of u.
-1/2u+3/5=1/6
Subtract 3/5 on both side, we get
-1/2u=1/6-3/5
Now equal the denominator to simplify
-1/2u=1/6 *30-3/5 *30
-1/2 *30u=5-3*6
-15u=5-18
-15u= -13
Divide by -15 on both side, we get
u = 13/15
Hence, the value of u is 13/15.
To learn more about simplification link is here
brainly.com/question/12868965
#SPJ1
Use the compound interest formula to compute the total amount accumulated and the interest earned.
$3000 for 3 years at %4 compounded semiannually.
The amount in the account is ____.
(Do not round until the final answer. Then round to the nearest cent as needed.)
The amount in the account is $3499. 2
How to determine the compound interestThe formula for determining compound interest is given as;
A = P ( 1 + r/ n) ^nt
Given that;
A is the final amountP is the principal amountr is the ratet is the time taken n is the number of times interest applied per periodSubstitute the values into the formula, we have;
A = $3000 ( 1 + 0. 04 / 0. 5) ^(0.5× 4)
Find the exponential value
A = $3000 ( 1 + 0. 04 / 0. 5) ^2
A = $3000( 1+ 0. 08)^2
Expand the bracket, we get;
A = $3000 (1. 08)^2
A = $3000(1. 17)
multiply through
A = $3499. 2
Hence, the value is $3499. 2
Learn more about compound interest here:
https://brainly.com/question/24924853
#SPJ1
When you flip a biased coin the probability of getting a tail is 0.4.
How many times would you expect to get tails if you flip the coin 160 times
Answer:
64 times
Step-by-step explanation:
Multiply 0.4, the chance of getting tails, which 160, the amount of times you flip the coin, and you get 64. This is reasonable, because the probability of getting heads is 0.6, and if you flip the coin 160 times, you will get heads 96 times. Hope this helped :)
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $25 and same-day tickets cost $15. For one performance, there were 55 tickets sold in all, and the total amount paid for them was $1025. How many tickets of each type were sold?
Answer:
advance: 20same-day: 35Step-by-step explanation:
You have tickets that sell for $25 and $15, and you sold 55 tickets for $1025. You want to know the number of each sold.
SetupLet 'a' represent the number of advance tickets sold. Then 55-a is the number of same-day tickets sold. The total revenue is ...
25a +15(55 -a) = 1025
Solution10a + 825 = 1025 . . . . . simplify
10a = 200 . . . . . . . . . . subtract 825
a = 20 . . . . . . . . . . . divide by 10; the number of advance tickets
55 -20 = 35 . . . . the number of same-day tickets
20 advance tickets and 35 same-day tickets were sold.
Latrina is planning to serve hors d'oeuvres at her wedding. She plans on offering 8 hors d'oeuvres for every 3 people
Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding .
In the question ,
it is given that
At Latrina's wedding
number of hors d’oeuvres offering that 3 people will get = 8 offering
So, the number of offering of hors d’oeuvres that 1 person will get = 8/3 .
we need to find that
how many hors d’oeuvres will she serve for 240 people .
So ,
the number of hors d’oeuvres offering that 240 people will get =(8/3)×240
= 8 × 80
= 640
Therefore , Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding .
The given question is incomplete , the complete question is
Latrina is planning to serve hors d’oeuvres at her wedding. She plans on offering 8 hors d’oeuvres for every 3 people. If she has invited 240 people to the wedding, how many hors d’oeuvres will she serve?
Learn more about Multiplication here
https://brainly.com/question/660389
#SPJ1
Jessica and her family bought five tickets to a music concert tickets for adults cost $5.10 and tickets for children cost $3.60 Jessica and her family spent a total of $21 how many tickets for adults and how many tickets for children did they buy
Answer: 2 Adult 3 Kid
Step-by-step explanation:
5.10 x 2 = 10.2
3.60 x 3 = 10.8
10.8 + 10.2 = 21
Select the correct answer.
Use a graphing tool to solve the equation for x.
-4x-1= 5x + 4
As per the system of linear equations concept, the solution of x is -1.282
Linear equations:
Linear equation is referred as the algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.
Given,
Here we have the equations -4x - 1 = 5ˣ + 4
Now, we need to find the value of x by using the graph.
In order to plot the graph for the given linear equation,
First, we have to split the equation into two,
Like the following:
y = -4x - 1
y = 5ˣ + 4
Now, we plot the graph of both equations
Then we get the graph like the following.
Where the red line represents the equation y = -4x - 1 and the green line represents the equation y = 5ˣ + 4.
While we looking into the graph, we have identified the solution is,
x = -1.282
Therefore, the solution of x is -1.282
To know more about Linear equation here.
https://brainly.com/question/11897796
#SPJ1
9(9-10r)+(-8-2r)
I don't know how much to do this I need help
Answer: 21
Step-by-step explanation:
To simplify this, we would use Order of Operations (BEDMAS)
Brackets ()Exponents [tex]x^{2}[/tex] Division MultiplicationAdditionSubtractionSo, to simplify 3 + (3-8)^2 -7 we will follow the order of Operations
[tex]3 + (3-8)^{2} - 7\\3 + (-5)^{2} - 7\\3 + 25 - 7 \\28 - 7\\21[/tex]
So the answer is 21
Comparing Marbles:
Red balloons float purple marbles at a ratio of 12: 4.
Red balloons float green marbles at a ratio of 15: 6.
Which is heavier: a purple marble or a green marble?
The marble that is heavier based on the ratio is purple marble.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.
Red balloons float purple marbles at a ratio of 12: 4. This will be:
= 12/4
= 3
Red balloons float green marbles at a ratio of 15: 6. This will be:
= 15/6
= 2.5
In this case, the purple marble is heavier as 3 is more than 2.5.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Complete the proof by choosing the correct "Reason".
The completed table of the two column method to prove DE = FD is presented as follows;
Statement [tex]{}[/tex] Reason
1. CE = CD + DE[tex]{}[/tex] Segment addition postulate
2. FG = FD + DG [tex]{}[/tex] Segment addition postulate
3. CE = FG [tex]{}[/tex] Given
4. CD + DE = FD + DG [tex]{}[/tex] Substitution property of equality
5. CD = DG [tex]{}[/tex] Given
6. DG + DE = FD + DG [tex]{}[/tex] Substitution property of equality
7. DE = FD [tex]{}[/tex] Subtraction property of equality
What is a two column method, used to prove a statement in mathematics?A two column method consists a number of statements alongside the reasons that are known to make the statements true.
The segment addition postulate state that a point B is located on a segment AC if and only if AB + BC = AC, therefore;
CE = CD + DEFG = FD + DGThe substitution property of equality states that if a = b, and a + c = d, then b + c = d
Which gives;
CE = CD + DEFG = FD + DGCE = FG, then, CD + DE = FD + DGSimilarly; CD = DG, then DG + DE = FD + DG
The subtraction (and addition) property of equality states that a quantity of known value can be subtracted (or added) to both sides of an equation and both sides of the equation remains equal.
Mathematically, if x = y, then x - z = y - z, therefore;
DG + DE = FD + DGThen;
DG + DE - DG = FD + DG - DG∴ DE = FD
Learn more about the properties of equality here:
https://brainly.com/question/1601404
#SPJ1
The burner is the engine of the balloon. What is the role of a resistor in an engine?
A ballast resistor is utilized inside the ignition system of automobile engines or balloons. it acts as a resistor for the ignition ballast.
Between the main source of both the ignition coil & the coil stud, there's an ignition ballast resistor. It lowers the ignition coil's risk of failure.
An ignition ballast resistance assists in lowering the coil voltage & coil current when the generator revs the engine.
Minimal current consequently results in a low-temperature increase. Additionally, the ignition coil lives a long time as a result.
However, an ignition system requires a greater voltage that is also the same as the power source's voltage. Therefore, a resistor for the ignition ballast is connected to the jumper wire. The jumper wire additionally supplies the ignition with the necessary voltage when starting the engine.
Learn more about resistor here
https://brainly.com/question/17563681
round square root of 4004 to the nearest integer
Set A and the universal set U are defined as follows.
U={f, g, h, p, q, r}
A= {g, p, r}
Find the following sets.
Write your answer in roster form or as 0.
(picture attached)
The value of the sets are A ∩ ∅ = ∅ and A' ∪ U = {f, g, h, p, q, r}.
How to determine the sets?Given: U = {f, g, h, p, q, r} and A = {g, p, r}
We are to find: (a)A ∩ ∅ and (b) A' ∪ U
(a) A ∩ ∅
The symbol ∩ means intersection. This tells us what sets have in common. Also, the symbol ∅ means an empty set or null. That is a set that does not have any element
The intersection of a set with the empty set is the null set. Thus:
A ∩ ∅ = ∅
(b) A' ∪ U
The set U is called the universal set
A' means elements not in set A but in set U
The symbol ∪ means union, A' ∪ U will give a list of elements in A' and U combined without repetition. Thus:
A' ∪ U = {f, h, q} ∪ {f, g, h, p, q, r} = {f, g, h, p, q, r}
Therefore, A ∩ ∅ = ∅ and A' ∪ U = {f, g, h, p, q, r}. They should be entered into the boxes accordingly
Learn more about sets on:
https://brainly.com/question/13458417
#SPJ1
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
Answer:
15h >= 200
>= means greater than or equal to. Just but a horizontal line underneath the >
I need help with this problem. Please and thank you.
After solving the given equation for r, the value of r is √T/4π.
What are equations?A mathematical equation is a formula that utilizes the equals sign to signify the equality of two expressions. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.So, the formula equation is:
T = 4πr²Now, solve for r as follows:
T = 4πr²r² = T/4πr = √T/4πTherefore, after solving the given equation for r, the value of r is √T/4π.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ13
Could you have step by step instructions? Thank you
Answer:
B (5,9)
Step-by-step explanation:
when working with fractions as slopes we use rise over run (broken down)
3 (numerator)--rise-how unit to go up or down
--
4 (denominator)--run--how many units to the left or right
since our slope is positive we will be going up 3 and 4 to the right.
if the slope is negative we go down and to the left.
hope this explanation helps for future questions
Solve for x. Show your work, and give exact answers where possible. Otherwise, round to the nearest hundredth.
After solving the value of x is -1/6.
Given:
[tex]25^3^x^+^2[/tex] = 125
[tex]5^{2(3x+2)}[/tex] = [tex]5^3[/tex]
2(3x+2) = 3
6x + 4 = 3
6x = 3-4
6x = -1
divide by 6 on both sides
6x/6 = -1/6
x = -1/6.
Therefore after solving the value of x is -1/6.
Learn more about the value here:
https://brainly.com/question/14316282
#SPJ1
The population of Minnesota in thousands, t years since 2000 can be represented by P=37t+4934. (T,P)=
A) Determine the P-intercept and explain its meaning in terms of the problem. (T,P) =
B) Determine the t-intercept and explain its meaning in terms of the problem. (T,P)
Answer A ; 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.
Answer B ; T-intercept is -4934/37, or approximately -133. This indicates that Minnesota had a population of 2000–133 in 1867.
Answer A : P=37t+4934 can be used to represent Minnesota's population in thousands over the t years after 2000.
P-intercept is the P value at time t=0.
P=37*0+4934\sP=0+4934\sP=4934
So, 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.
Answer (B) : The term "t-intercept" refers to the value of the function t when P=0 0=37t+4934 -4934=37t divide by 37 -4934/37=t -133.351351351 = t
Hence T-intercept is -4934/37, or approximately -133. This indicates that Minnesota had a population of 2000–133 in 1867.
P=37t+4934 P-intercept means the value of P at t=0 P=37*0+4934 P=0+4934 P=4934
Given that Minnesota's population in thousands, t years since 2000, it can be expressed by the equation:
So, 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.
To know more about functions or related problems visit:
https://brainly.com/question/17597708
#SPJ13
