the interior angles of the triangle must sum 180°
if we have two angles that measure 100° the sum of interior angles of a triangle will be more than 180°, and that can't be true.
so the answer is FALSE
If I have 69,420 gallons of cream, and my friend chugs 420 gallons of my cream how many gallons do I have that have not been downed by my friend? And if after, my friend chugs another 6,900 of my gallons of cream, how many gallons of my cream has my friend enjoyed?
Answer: 62,110 Gallons left of icecream after his friend ate 7320 Gallons
NOT ENOUGH INFO TO PROVE HOW MUCH FRIEND HAS ENJOYED
Step-by-step explanation:
To find out how much icecream is left do
69,420 Gallons -420 Gallons =69000 Gallons leftthen do 69000 Gallons -6900 Gallons =62110 Gallons leftTherefore there is 62,110 gallons left of icecream
To find out how much icecream his friend has ate
add 420 Gallons +6900 Gallons =7320 GallonsTherefore his friend has ate
7320 Gallons
what line is perpendicular to the line y=2x+4 ? what line is parallel to line y + 2x+4 ? *options are for both answers*
Given the line : y = 2x + 4
the general equation of the line is y = mx + b
where m is the slope , b is the y intercept
By comparing the given line with the general form
so, the slope of the given line is :
m = 2
the slope of the perpendicular line will be = -1/m
so, the slope of the perpendicular line = -1/2
The slope of the parallel line = the slope of the given line
So, the slope of the parallel line = 2
so, the answer is:
the perpendicular line is : y = (-1/2) x + 10
The parallel line is : y = 2x + 1
Write an equation of the line in point-slope form that passes through the given points. (-2,8) and (7,-4)
The equation of the line is y-8 = [tex]\frac{-4}{3}[/tex] ( x+2) .
What is equation of the line ?
A line's coordinate plane equation can be expressed in two point form. Depending on the information at hand, a line's equation can be discovered using a variety of techniques. One approach is the two-point form. When two points that are on the line are known, this is used to find the equation of the line. The slope intercept form, intercept form, point slope form, and other crucial forms for representing the line equation.
Here the given two points are ,
[tex](x_1,y_1)=(-2,8)\\(x_2,y_2)=(7,-4)[/tex]
Now using slope formula,
slope m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m = [tex]\frac{-4-8}{7+2}[/tex]
=> slope m = [tex]\frac{-12}{9}= \frac{-4}{3}[/tex]
Now using equation formula,
=> [tex]y-y_1 = m(x-x_1)\\[/tex]
=> y-8 = [tex]\frac{-4}{3}[/tex] ( x+2)
Hence the point slope form of the equation is y-8 = [tex]\frac{-4}{3}[/tex] ( x+2) .
To learn more about equation of the line ,
https://brainly.com/question/18831322
#SPJ1
The average daily high temperature in Montreal last week was 12°. This week's average daily high temperature is supposed to be 24° lower. If the high temperature on Friday is equal to this week's average daily high temperature, which of the following could be Friday's high temperature? A. -36° B. -3° C. -12° D. 2°
If the high temperature on Friday is equal to this week's average daily high temperature, the option that could be Friday's high temperature is: C. -12°.
How to find the temperature?Using this formula to find the high temperature
High temperature= Last week average daily high temperature + ( -This week average daily high temperature)
Let plug in the formula
High temperature = 12° + (-24°)
High temperature= -12°
Therefore the correct option is C.
Learn more about temperature here:https://brainly.com/question/24746268
#SPJ1
The graph of a function fis shown below.
Use the graph of the function to find its average rate of change from x=-9 tox=-1.
Simplify your answer as much as possible.
The average rate of change from x = -9 to x = -1 of the graph of the given function is 0.
We know that the rate of change of a function is nothing but the slope of the line.
The slope of the line is given by;
Slope = Change in y-coordinate / change in x-coordinate
We are given the graph of a function.
We need to find the average rate of change from x = -9 to x = -1.
Let us find the value of y or f(x) for the given value of x.
For x = -9, y = 2
For x = -1, y = 2.
Put the values of x and y in the slope formula, we will get;
Slope = (2 - 2) / (- 1 - (-9)) = 0
So, the rate of change of function is 0.
Thus, the average rate of change from x = -9 to x = -1 of the graph of the given function is 0.
To learn more about slope of the line visit:
brainly.com/question/16180119
#SPJ1
what's the
measure of
LX?
HELPO PLEASEEE
Answer:
x = 40
Step-by-step explanation:
180 - 120 is 60
180 - 100 is 80
60 + 80 is 140
40 is the unknown angle
vertical angle means x is 40
China produces about 196 million metric tons of rice per year. the Philippines produces about 16 million metric tons of rice per year. how many times did Philippine yearly rice production does China produce?
For the information given in the statement let:
*C the million metric tons of rice that China produces per year
*P the million metric tons of rice that Philippines produces per year
So, you have
[tex]\begin{gathered} C=kP \\ \text{ Where k is the number of times the annual rice production of the Philippines} \\ 196=k\cdot16 \\ \text{ Divide by 16 into both sides of the equation} \\ \frac{196}{16}=\frac{k\cdot16}{16} \\ 12.25=k \end{gathered}[/tex]Therefore, annually China produces 12.25 times the amount of rice that the Philippines produces.
Answer:
12.25 times
Step-by-step explanation:
196/16 = 12.25
Question 15 only, I inserted a picture. Please show your work. graph the solution to the in equality
You have the following inequality:
√x > 2
Consider that only positive values of x result in real solutions. Moreover, if you squared both sides of the inequality, you obtain:
x > 4
The graph of the inequality is shown below:
Sarah's truck can carry a maximum of 1351.5 pounds. She puts a 100-pound bag of cement mix in the truck. Which inequality can be used to find b, the number of 4.5-pound bricks that can also be put in the truck?
Sarah's truck can carry a maximum of 1351.5 pounds. She puts a 100 - pound bag of cement mix in the truck. Which inequality can be used to find b, the number of 4.5-pound bricks that can also be put in the truck?
___________________________________________
Maximum of 1351.5 pounds
Total ≤ 1351.5 pounds
The number on bricks = b
b*4.5 = bricks weight
100 + 4.5*b ≤ 1351.5
__________________
Can you see the updates?
___________________
Answer
100 + 4.5*b ≤ 1351.5
1351.5 ≥ 100 + 4.5*b
Write an equation in standard form of the line that passes through the given point and has the given slope.
(-6, -10); m =
6
Answer:
Below
Step-by-step explanation:
First , write it in point (-6, -10) slope ( 6 ) form then manipulate it to standard form:
(y- -10) = 6 ( x - -6)
y+10 = 6x + 36
6x - y = -26
8. An outlier is going to be added to a data set. Which is most likely to occur? A. an increase in the MAD, but not the IQR B. a decrease in the MAD, but not the IQR C. an increase in the IQR, but not the MAD D. a decrease in the IQR, but not the
Answer;
It causes an increase in the MAD, but not the IQR
Explanation;
Mathematically, we know that an outlier in a dataset represents a value that is at least 2 standard deviations away from the mean value
While MAD represents the mean absolute deviation, IQR represents the interquartile range
It is expected that the outlier affects the value of the standard deviation
By calculating the MAD, we have to subtract values from the mean and square them and this makes the mean absolute deviation affected by the outlier
Hence, we can conclude that the presence of an outlier increases the mean absolute deviation
For the interquartile range, it only moves the lower quartile and the upper quartile same way and thus, it has no effect on it
Which step in solving this equation is justified by the Associative Property of Addition? Consider the sequence of steps to solve the equation: 6v + 3(y – 5) = 4y -- (2v + 1) Given + 3(-5) = 4y - (2v + 1) Step 16v + 3y - 15 = 4y - (2y + 1) Step 2 6y + 3y - 15 = 4y - 2 - 1 Step 3 9y - 15 = 4y – 2v-1 Step 4 9y - 15=-2y + 4y - 1 Step 5 9v - 15 = 2y - 1 Step 6 7y - 15 =-1 Step 77y=14 Step 8y=2 a. Step 7 b. Step 3 c. Step 5 d. Step 4 2. MGSE9-12.A.REI.1 Which step in solving this equation is justified by the
First consider what the associative property of addition is:
Due to such a property, the sum of three or more numbers remains the same regardless of how the numbers are grouped.
Then, from the different steps given in the question, you can notice that in the step 3, regardless the simplifcation of like terms right side or left side, the result is the same.
On Sunday, Steve, Jo, Lucy, Max, and Alex decide to throw aparty. On Monday, they each invite 3 friends. On Tuesday, thefriends that were invited on Monday each invite 3 more people.On Wednesday, the people who were invited on Tuesday eachinvite 3 more people.If this continues, how many people will be invited on Saturday toattend the party?
Step 1. The party will be thrown by Steve, Jo, Lucy, Max, and Alex --> 5 people.
On Monday, each invites 3 friends. So for, the number of people invited is:
[tex]5\times3=15[/tex]Step 2. On Tuesday, the friends that were invited (15) invited 3 more people each. The number of people invited now is:
[tex]15\times3=45[/tex]Step 3. On Wednesday, the 45 people invited on Tuesday, each invite 3 more people. The number of people invited again multiplies by 3:
[tex]45\times3=135[/tex]Step 4. The trend continues so for Thursday, the number of people invited on the previous day multiplies by 3:
[tex]135\times3=405[/tex]Step 5. On Friday the number of people invited is:
[tex]405\times3=1,215[/tex]Step 6. Finally, on Saturday, the day of the party, the number of people invited is multiplied one last time by 3:
[tex]1,215\times3=3,645[/tex]Answer:
3,645
The equation of the parallel line in slope-intercept form is y=
numbers: (-2,-4) 4x+7y=11
(Pls help I have a F in math rn)
The equation of the line parallel to 4x+7y=11 and passes through (-2,-4) is y = - 4 / 7x - 36 / 7
How to write equation of a line in slope intercept form?The equation of a line in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line is parallel to 4x+7y=11.
Parallel lines have the same slope.
Hence,
4x+7y=11
7y = - 4x + 11
y = - 4 / 7 x + 11
Therefore, the slope of the line is - 4 / 7 x. Let's find the y-intercept using (-2, -4)
-4 = - 4 / 7(-2) + b
-4 - 8 / 7 = b
b = - 36 / 7
Therefore, the equation of the line is y = - 4 / 7x - 36 / 7
learn more on equation of a line here:https://brainly.com/question/28883396
#SPJ1
Mai is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.Company A charges $97 and allows unlimited mileage.Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.For what mileages will Company A charge less than Company B?Use m for the number of miles driven, and solve your inequality for m.
Answer:
m>60
Explanation:
Let the number of miles driven = m
Company A charges $97 and allows unlimited mileage.
[tex]\text{ Total Charge for Company A}=\$97[/tex]Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.
[tex]\text{ Total Charge for Company B}=55+0.70m[/tex]When the charge for Company A is less than that of Company B:
[tex]97<55+0.70m[/tex]We then solve the inequality for m:
[tex]\begin{gathered} 97\lt55+0.70m \\ \text{ Subtract 55 from both sides} \\ 97-55\lt55-55+0.70m \\ 42\lt0.70m \\ \text{ Divide both sides by 0.7} \\ \frac{42}{0.70}<\frac{0.70m}{0.70} \\ 6060 \end{gathered}[/tex]Company A will charge less than Company B when the number of miles driven, m is greater than 60.
What is the approximate length of the track in miles
Explanation
Opposite sides are 5 miles each and for each semicircle we have:
[tex]\frac{2\pi *\frac{1}{2}}{2}=\frac{\pi}{2}\text{ miles}[/tex]Then the lenght of the track is:
[tex]5+5+\frac{\pi}{2}+\frac{\pi}{2}=10+\pi[/tex]Approximately 13.1416 miles
Solve the inequality. Graph the solution.
3x≤−5/4
The solution is
The resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.Use the following steps to solve an inequality: Step 1 Eliminate fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the integers on the other by adding or subtracting quantities.So, solve the inequality as:
3x ≤ −5/4x ≤ −5/4-3x ≤ -5/4 × 1/3x ≤ -5/12Now, plot x ≤ -5/12 on the graph as follows:
(Refer to the graph attached below)Therefore, the resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.
Know more about inequality here:
https://brainly.com/question/28964520
#SPJ1
Graph the polygon with the given vertices and its image after a reflection in the given line.
J(2, 1), K(3, 5), L(6, 5), M(5, 1); x = 1
The number of bacteria in a refrigerated food product is given by N(T) = 27T^2 - 155T + 66, 6 < T < 36, where T is the temperature of the food.When the Food is removed from the refrigerator, the tempersture is given by T(t) = 6t + 1.7, where t is the time in hours.Find the composite function N(T(t)): N(T(t)) =Find the time when the bacteria count reaches 26087. Time needed = ____ hours
Okay, here we have this:
Considering the provided information, we are going to calculate the requested composition and time, so we obtain the following:
Composite function N(T(t)):
[tex]\begin{gathered} N(6t+1.7)=27\mleft(6t+1.7\mright)^2-155\mleft(6t+1.7\mright)+66 \\ =27\mleft(36t^2+20.4t+2.89\mright)-155\mleft(6t+1.7\mright)+66 \\ =972t^2+550.8t+78.03-155\mleft(6t+1.7\mright)+66 \\ =972t^2-379.2t-119.47 \end{gathered}[/tex]Finally we obtain that N(T(t)) is equal to 972t^2-379.2t-119.47.
Now, let's the time when the bacterias count reaches 26087:
[tex]undefined[/tex]Jan and Jo live 1,170 miles apart. At the same time, they start driving toward each other on the same road. Jo’s constant rate is 60 mph. Jan’s is 70 mph. How long will it take them to meet?
Answer:
Step-by-step explanation:
to get the time taken for Jan and Jo to meet we proceed as follows;
Jan's speed=70 mph
Jo's speed =60 mph
distance between =1170
relative speed=70+60=130
time taken for them to meet will be:
time=(distance)/(relative speed)
=1170/130
=9 hours
the answer is 9 hours
Answer:
Option (B) is correct, 9 hours.
I need help on the question in the picture attached. i tried posting it but no one is answering it and this was due last week. please help fast
Answer:
Yes
Explanation:
To find our whether Marrissa's budget will be enough for the party, we need to find the linear equation relating the cost and the number of guests. The linear equation is the form
[tex]y=mx+b[/tex]where y is the cost in dollars. m is the cost per guest, and b can be interpreted as additional charges for the party facility.
The cost per guest is given by the slope of cost vs. guest graph.
Let us pick two values (100, 1325) and (50, 725) and compute the slope:
[tex]\frac{\$1325-\$750}{100-50}=\frac{\$12}{\text{guest}}[/tex]With the value of slope m in hand, we now find b by using the values x = 100, y = 1325 (the choice of these values is arbitrary)
[tex]\begin{gathered} 1325=12(100)+b \\ 1325=1200+b \\ \therefore b=125 \end{gathered}[/tex]Hence, the equation relating the cost and the number of guests is
[tex]y=12x+125[/tex]Now, for 75 guests the cost will be
[tex]\begin{gathered} y=12(75)+125 \\ y=\$1025.\text{ } \end{gathered}[/tex]Therefore, Marrissa's budget, which is $1200, is greater than the cost of the party, meaning it will be enough.
if i have figure A (R=5ft) and figure B is (R=2ft) and the volume =(88 cu ft) what is the answer
we get that
[tex]h_b=\frac{88}{4\cdot\pi}\approx7[/tex]as the figure are congruent we get
[tex]h_a=\frac{5}{2}\cdot7=17.5[/tex]so the volume is
[tex]V_a=\pi\cdot5^2\cdot17.5=1375ft^3[/tex]Find all points on the y-axis that are 5 units from the point (4, 6). (smaller y-value)(x, y) = (larger y-value)
Step 1:
Write the parent coordinates
(4 , 6)
Step 2
The point can bo on the positive y-axis or on the negative y-axis.
New coordinates
( 4 + 5, 6 + 5)
= (9 , 11)
Or
( 4 - 5, 6 - 5)
= (-1 , 1)
Final answer
Smaller y-value = 1
Larger y-value = 11
A fire drill occurred in the middle of a math test that Ms Ramirez was giving. She decided to add 5 points to everyone's original score. Which of the following statistical measures would adding these 5 points alter when compared to the original scores? 1. the mean score 2. the interquartile range 3. the range 4. the standard deviation
Concept
Given the data below as the original score of the student
[tex]5,10,\text{15,20}[/tex]The mean score is given as
[tex]\frac{5+10+15+20}{4}=12.5[/tex]Adding 5marks to the score we will be having the score below
[tex]10,15,20,25[/tex]Then the new mean score becomes
[tex]\frac{10+15+20+25}{4}=17.5[/tex]Hence the mean will be altered by adding
Other statistical measures will not be altered
I WILL BRAINIEST!!!
The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
What is the joint relative frequency of students who use a mobile device in an online class?
Answer: 32%
Step-by-step explanation:
The reason on why this answer is 32% is because in order to calculate joint relative frequency, you must have two values.
The first value is the one the question is asking you about. For this, it's mobile device in online classes, which is 64 on the table. Simply divide this number by the total of the table, which is normally on the bottom right. In this case, it's 200.
Now all that needs to be done is this:
[tex]\frac{64}{200}[/tex] = 0.32, which is 32%.
The answer is 32%, C.
The joint relative frequency of students who use a mobile device in an online class will be 32% as the "Student who use a mobile device in online class=64 and total students=200".
What is joint relative frequency?The ratio of a frequency that is not in the total row or column to the total number of values or observations is known as joint relative frequency. In a two-way frequency table, the marginal frequency is the entry in the "total" for the column and the "total" for the row. These are the frequencies in a given category divided by the total number of data values. The term "joint frequency" refers to the joining of one variable from the row and one variable from the column. The ratio of the frequency in a specific category to the total number of data values is known as joint relative frequency.
Here,
Title Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
The joint relative frequency of students who use a mobile device in an online class,
Student who use a mobile device in online class=64
Total students=200
64/200=0.32
0.32*100=32%
As "Students who use a mobile device in an online class=64 and total students=200," the joint relative frequency of students who use a mobile device in an online class will be 32%.
To know more about joint relative frequency,
https://brainly.com/question/9553384?referrer=searchResults
#SPJ1
I need helpBarbara works at a law office as an entry level lawyer. She spends 2/5 of her time at the law office doing paper work. How many hours does she have to work to spend 10 hours doing paper work.
GIVEN:
We are told that Barbara works 2/5 of her time doing paper work and this fraction represents 10 hours of her total working time.
Required;
To determine how many hours she will have to work in order to have 10 hours doing paper work.
Step-by-step solution.
Take note that her entire working hours is represented by 1 whole since, a fraction of it has already been identified as two-fifths.
This means
[tex]\frac{2}{5}\times h=10[/tex]Take note that the fraction is taken as two-fifths of the total hours h and, if multiplied by the total hours, we would get 10 hours.
Hence, if we simplify the above equation, we would get the value of h as follows;
[tex]\begin{gathered} \frac{2}{5}\times h=10 \\ \\ Cross\text{ }multiply: \\ \\ h=\frac{10\times5}{2} \\ \\ h=25 \end{gathered}[/tex]Therefore,
ANSWER:
Barbara has to work for 25 hours in order to spend 10 hours on paper work.
PLEASE HELP NEED THIS NOW DUE IN AN HOUR!!
Write and simplify an expression to represent the perimeter of the triangle shown. What is the perimeter of the triangle if y equals 3 feet?
(Please show work)
The perimeter of the triangle if y equals 3 feet is 31 feet.
Given:
sides of the triangle are y+5, 4y-3 and 3y+5 feet.
y = 3 feet
Let a = y + 5 = 3+5 = 8.
so a = 8 feet.
b = 4y - 3
= 4*3 - 3
= 12 - 3
b = 9 feet.
c = 3y+5
= 3*3+5
= 9+5
c = 14 feet.
Perimeter of the triangle = a+b+c
= 8 + 9 + 14
= 17 + 14
= 31 feet.
Therefore the perimeter of the triangle if y equals 3 feet is 31 feet.
Learn more about the perimeter of triangle here:
https://brainly.com/question/23935199
#SPJ1
Please assist me with this too if you don't mind.
The equation when solved for k is of:
k = y - a(x - h)².
The domain for the relation is:
x ≥ 0.
How to solve the equation for k?The equation is defined as follows:
y = a(x - h)² + k
To solve for k, we have to isolate the variable k, moving the term a(x - h)², which doesn't have the variable k, to the other side with inverted signal, hence the solution for k is obtained as follows:
y - a(x - h)² = k.
k = y - a(x - h)².
What is the domain for a relation?The domain of a relation is the set containing all the values assumed by the input in the relation.
For the table, the input is the number of miles driven, which assumes values of zero and greater, hence the domain of the relation is defined as follows:
x ≥ 0.
More can be learned about the domain of a function at https://brainly.com/question/10891721
#SPJ1
What is the equation of a polynomial function, R, with rational coefficients that
have a zero of 4 + √5 and 3i?
The equation of a polynomial function, R, with rational coefficients will be;
P (x) = x² - (3i + √5 + 4)x + (12 + 3√5) i
What is Quadratic equation?
An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The zeroes of the polynomial function are;
⇒ 4 + √5 and 3i
Now,
Since, The zeroes of the polynomial function are;
⇒ 4 + √5 and 3i
So, The factor of the polynomial function are;
(x - (4 + √5)) and (x - 3i)
Hence, We can formulate the polynomial function as;
P (x) = (x - (4 + √5)) (x - 3i)
= (x - 4 - √5) (x - 3i)
= x² - 3ix - 4x + 12i - √5x + 3√5i
= x² - (3i + √5 + 4)x + (12 + 3√5) i
Thus, The equation of a polynomial function, R, with rational coefficients will be;
P (x) = x² - (3i + √5 + 4)x + (12 + 3√5) i
Learn more about the quadratic equation visit:
https://brainly.com/question/24334139
#SPJ1
Point A is at (6,1) and point C is at (2,-7)
Find the coordiantes of ppint b on line segamnt AC such that AB= 1/3BC
Answer:
A (6. 1) C (2. -7)
6-2 = 4 1- (-7) = 8
as AB= 1/3 BC = AB= 1/4 AC
so x=6-4/4 =5
y= 1-8/4 =-1
so B(5, 1)
Answer:
B(5, - 1)----------------------------------
GivenPoints A(6, 1) and C(2,- 7),Point B that partitions AC as AB : BC = 1 : 3.Find point BUse the section formula
[tex]P=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )[/tex], where P- point to be found, m : n is the ratio and the (x,y) are coordinates of endpointsSubstitute and find the point B:
[tex]B=(\dfrac{1*2+3*6}{1+3} ,\dfrac{1*(-7)+3*1}{1+3} )=(20/4,-4/4)=(5,-1)[/tex]