Solve for y;
[tex]\begin{gathered} 75-3.5y-4y=4y+6 \\ \text{Collect like terms, which means the values with y would be moved to one side} \\ \text{And the values without y would be moved to the other side} \\ 75-6=4y+4y+3.5y \\ \text{Note that when a positive value moves to the other side of the equation} \\ It\text{ becomes a negative value, and vice versa} \\ 69=11.5y \\ \text{Divide both sides by 11.5} \\ \frac{69}{11.5}=\frac{11.5y}{11.5} \\ 6=y \end{gathered}[/tex]The answer is y equals 6
-4x-5-2x+3 simplify
Starting with the expression:
[tex]-4x-5-2x+3[/tex]Use the commutative property to bring like terms together:
[tex]-4x-5-2x+3=-4x-2x-5+3[/tex]Add like terms:
[tex]-4x-2x-5+3=-6x-2[/tex]Therefore:
[tex]-4x-5-2x+3=-6x-2[/tex]If the population of a small town satisfies the exponential model A = Aoe^0.015t, where is measured in years, how long will it take for the town's population to increasefrom 5,450 to 10,355? Round your answer to two decimal placesAnswer
ANSWER :
The answer is 42.79 years
EXPLANATION :
From the problem, we have the function :
[tex]A=A_oe^{0.015t}[/tex]Solve for the value of t when A = 10,355 and Ao = 5,450
That will be :
[tex]\begin{gathered} 10355=5450e^{0.015t} \\ \frac{10355}{5450}=e^{0.015t} \\ 1.9=e^{0.015t} \\ \text{ Take the ln of both sides :} \\ \ln(1.9)=\ln(e^{0.015t}) \\ \ln(1.9)=0.015t \\ t=\frac{\ln(1.9)}{0.15} \\ t=42.79 \end{gathered}[/tex]Two more than the cube root of a number
We have
[tex]undefined[/tex]AT&T is having a sale on all cell phones. They will give you a loan to pay for the phone. Your phone costs $899 How much will you pay for the phone if they charge you 4.5% interest, and it will take you 24 months to pay it off.
-How do you do this equation?
Answer:
Its a scam AT&T has no such sale going on right now.
Step-by-step explanation:
A student plays the following game. He tossed three coins. If he gets exactly two heads he wins $5. If he gets exactly one head he wins $3. Otherwise, he loses $2. On the average, how much should he win or lose per play of the game?
A student plays the following game. He tossed three coins. If he gets exactly two heads he wins $5. If he gets exactly one head he wins $3. Otherwise, he loses $2. On the average, how much should he win or lose per play of the game?
we have that
If he gets exactly two heads he wins $5.
the probability is
P=2/8
If he gets exactly one head he wins $3
the probability is
P=1/8
we have that
2/8+1/8=3/8
that means, that the probaility of any other result is 1-3/8=5/8
therefore
he win or lose per play
(2/8)*$5+(1/8)*$3-(5/8)*$2=(10/8)+(3/8)-(10/8)=3/8=$0.375
the answer is
He win $0.375 per gameSolve the system of equations x + 2y = 0 Solve the equation for x.
Given the equation :
[tex]x+2y=0[/tex]Solve the equation for x:
[tex]x=-2y[/tex]Final Answer:
x = -2yIn-depth explanation:
Hi! The question is asking us to solve the equation x + 2y = 0 for x.
________________________
To Solve
Rearrange the equation for x.
________________________
All we need to do is subtract '2y' from both sides.
[tex]\implies\sf{x+2y=0}[/tex]
[tex]\implies\sf{x=0-2y}[/tex]
[tex]\implies\sf{x=-2y}[/tex]
∴ Equation: x = -2y
_______________________
guess this i am less than 10 i am not a multiple of 2 i am a composite number
Composite numbers have a smaller divisor, other than 1 and itself. Hence, the required number is 9.
What is composite number?Any positive integer that may be created by multiplying two other positive integers is referred to as a composite number. It is, in other words, a positive integer that has at least one divisor besides itself and the number 1.
Numbers with more than two elements are known as composite numbers in mathematics. Composite numbers are non-prime numbers that can be divided by more than two other numbers.
Composite numbers below 10 :
4, 6, 8, 9
From the composite numbers given, the value which is not a multiple of 2 is 9.
The values 4, 6, and 8 are multiples of 2.
Hence, the required is 9.
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A town’s population increases at a constant rate. In 2010 the population was 56,000 . By 2012 the population had increased to 81,000 . If this trend continues, predict the population in 2016. The population will be Number in 2016.
Given: A town's population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000.
Required: To predict the population in 2016.
Explanation: The population is increasing at a constant rate. In 2 years, the increase in population is-
[tex]81000-56000=25000[/tex]Thus the slope (or rate of change of population per year) is-
[tex]\frac{25000}{2}=12500[/tex]Thus, in 2016 after 6 years, the increase in population will be-
[tex]12500\times6=75000[/tex]Hence, the population in 2016 will be-
[tex]56000+75000=131000[/tex]Final Answer: The population will be 131,000 in 2016.
Traci needs to change $300 US Dollars into Euros. the exchange rate is 1 euro for 1.25 dollars. how many euros does Traci get for her dollars?
Let's begin by identifying key information given to us:
Amount = $300
Amount (after changing) = ?
Exchange rate: €1 = $1.25
We will calculate how much Euros Traci gets for her dollar using simple proportion:
[tex]\begin{gathered} x=\text{\$}300 \\ \euro1=\text{\$}1.25 \\ \text{Cross multiply, we have:} \\ 1.25(x)=300\cdot1 \\ x=\frac{300}{1.25}=240 \\ x=\euro240 \end{gathered}[/tex]Therefore, Traci gets €240 for her dollars
What is the equation of the line that passes through the point (5, 3)and has a slope of -4/5
Given:
The slope of the line
[tex]m=-\frac{4}{5}[/tex]The line passes through from the point (5,3).
Required:
Find the equation of the line.
Explanation:
The equation of the line that passes through from the point and has slope m is given by the formula as:
[tex]y-y_1=m(x-x_1)[/tex]Consider
[tex](x_1,y_1)=(5,3)[/tex]Now the equation of the line:
[tex]\begin{gathered} y-3=\frac{-4}{5}(x-5) \\ 5(y-3)=-4(x-5) \\ 5y-15=-4x+20 \\ 4x+5y=35 \end{gathered}[/tex]Final Answer:
The equation of the line passes through from point (5,3) and has a slope -4/5 is 4x + 5y = 35
5. The shadow of a tree extends 25 feet from the top of the tree to the ground. Sarah measures thatthe distance from the base of the tree to the tip of its shadow is 15 feet. How tall is the tree?A. 20 feetB. 25 feetC. 29.2 feetD. 40 feetO
Given :
The shadow of the tree = 25 feet from the top of the tree to the ground
the distance from the base of the tree to tip of its shadow is 15 feet
Let the height of the tree = x
So, 25 , 15 and x are forming a right angle triangle
25 is the hypotenuse of the triangle ,
x and 15 are the legs of the triangle
WE will find x using Pythagorean theorem
So,
[tex]\begin{gathered} x^2+15^2=25^2 \\ x^2=25^2-15^2=625-225=400 \\ x=\sqrt[]{400}=20 \end{gathered}[/tex]So, the height of the tree = 20 feet
The answer is option A. 20 feet
Five students, Stella, Victoria, Alexander, Eva, and Hunter, line up one behind theother. How many different ways can they stand in line?
Permutations formula
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]where n things are chosen r at a time.
In this case, we need to find the number of permutations of n = 5 students chosen r = 5 at a time. That is,
[tex]\begin{gathered} _5P_5=\frac{5!}{(5-5)!} \\ _5P_5=\frac{5!}{0!} \\ _5P_5=\frac{5\cdot4\cdot3\cdot2\cdot1}{1} \\ _5P_5=120 \end{gathered}[/tex]They can stand in line in 120 different ways
On January 1, 2012 Hector put his life savings of $17,229 into a savings account at Barclays, which was pain 0.9 interest at the time. Over the next year, the inflation rate averaged 1.7%. Now consider the following propositions
Answer:
what propositions?
Step-by-step explanation:
Name the rotation that maps the black triangle onto the red triangle. Explain how you know(See picture below)
We would compare the coordinates of corresponding vertices on the red and black triangles. The vertex at the top of the black triangle and the vertex at the bottom of the red triangle correspond to each other. We would compare them.
For black triangle, coordinate is (1, - 3)
For red triangle, coordinate is (- 1, 3)
If a vertex with coordinate, (x, y) is rotated 180 degrees counterclockwise about the origin, the new coordinate is (- x, - y). By rotating (1, - 3) 180 degrees counterclockwise, it becomes (- 1, - - 3) = (- 1, 3). This corresponds to the coordinate of the corresponding vertex of the red triangle. Thus, the rotation that maps the black triangle onto the red triangle is 180 degrees counterclockwise rotation about the origin
graph the function f(x)=3-(x)
The given function is
[tex]f(x)=3-x[/tex]To graph this linear function we have to complete a table of values. We replace each x-value in the function to get each y-values to form coordinated pairs.
x f(x)
-2 5
-1 4
0 3
1 2
Let's do the calculations for each f(x) value.
[tex]\begin{gathered} f(-2)=3-(-2)=3+2=5 \\ f(-1)=3-(-1)=3+1=4 \\ f(0)=3-0=3 \\ f(1)=3-1=2 \end{gathered}[/tex]At last, we have to graph each point and draw a straight line. The graph below shows the graph for the function.
PLEASE HELP ME.Match the shape with its area formula Column A Column B 1: Triangle a. A= LW2: Parallegram. b: A=(TTr^2)/23: Semi- circle. c:(bh)/2 or 1/2(bh)4:Trapizoid. D. A= (b1+b2)(h)2
1. Triangle: the area of the triangle is C. (bh)/2
2:Parallegram: the area is a. LW
3. Semi-circle: the area is b. (pi r^2)/2
4. Trapezoid: the area will be D. (b1+b2)(h)2
Use the following two points to answer parts a - c. (2, 9), (4, - 7) a . Find the slope of the line passing through the two points. b . Write an equation of a line passing through the two points in point-slope form. c Rewrite the equation of the line in slope-intercept form.
slope= m =y2-y1/x2-x1, then
[tex]\begin{gathered} m=\frac{-7-9}{4-2} \\ m=-\frac{16}{2} \\ m=-8 \end{gathered}[/tex]a. slope = -8
hello I don't you can help me with this please
Approximately 10 hours
1) Gathering the data
Initial temperature: 79º F
0.8 each hour
84º
2) We can write an exponential function to find that out. So let's do it this way:
[tex]\begin{gathered} T_f=T_0(1+0.8)^h \\ 84=79(1.8)^h \\ \frac{84}{79}=\frac{79(1.8)^h}{79} \\ 1.06=1.8^h \\ \log _{10}1.06=\log _{10}1.8^h \\ h\log _{10}1.8=\log _{10}1.06 \\ h=10.087 \end{gathered}[/tex]Notice that since the temperature is rising, we have to add one to the factor, otherwise, it will decrease it.
Now let's convert that decimal number so that we may have a better approximation:
10 hours and 4 minutes
Lily has 30 Marvel Funko Pops. The number of Marvel Funky Pops in her collection is only 60% of hes total Funko Pops. How many total Funko Pops are in her collection?
Lily has 30 Marvel Pops, they are 60% of the total Pops
How many in total ?
We can say that the realation between 30 an the total is the same relation between 60% and 100%, so we can write:
30/x = 60/100
[tex]\frac{30}{x}=\frac{60}{100}[/tex]Where x is the total number of Pops
Solving this for x:
x = 30(100)/60 = 3000/60 = 50
[tex]x\text{ = }\frac{\text{30(100)}}{60}=\frac{3000}{60}=50[/tex]Answer:
Number of total Funlo Pops in her collection: 50
I need help with my practice questions. I don’t know where i’m supposed to plot the points on the graph and I need an explanation please.
The left and the right page of numbers of an open book are two consecutive integers whose sum is 381 . Whats are the page numbers
In order to determine the number of page numbers, let x the number of one page and x + 1 the number of the other page.
The sum of both numbers is 381, then:
x + (x + 1) = 381
Solve the previous equation for x, as follow:
x + x + 1 = 381 simplify like terms
2x + 1 = 381 subtract 1 both sides
2x = 381 - 1
2x = 380 divide by 2 both sides
x = 380/2
x = 190
Then, the numbers are 190 + 191
6. Analyze Marc has one dollar, one quarter, one dime, one nickel, and
one penny. He spends 35 cents. How much money does he have left?
A $0.76
B $0.96
$1.06
D $1.16
Find the Value of X, round your answer to the nearest 10th
The value of x is 13.31 units.
What is trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given a right angle with perpendicular = 8 units and base = x units and one acute angle = 59°
tangent of an angle = perpendicular/base
Therefore,
tan59° = x/8
x = tan59°*8
x = 13.31
Hence, the value of x is 13.31 units.
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what is 9/7 ÷ 2/3 ?
we have the expression
[tex]\frac{9}{7}\div\frac{2}{3}=\frac{9*3}{2*7}=\frac{27}{14}[/tex]The answer is 27/14how do I find the length of x and y?
divide decimals by decimals 033 divided by 688
The given numbers are 0.33 divided by 6.88
[tex]\frac{0.33}{6.88}=0.0479[/tex]Answer : 0.0479
Andy, Bobby, and Cathy each went for a walk yesterday afternoon. Andy walked 1 3/4 mi at a constant speed of 1 1/4 mi/h. Bobby walked 2 3/4 mi at a constant speed of 2 1/2 mi/h. Cathy walked for 1 h and 22 min at a constant speed of 1 1/4 mi/h. List the three people in order of the times they spent walking from least time to greatest time.
Answer:
In order of the times they spent walking from the least to the greatest time, we have:
Cathy
Andy
Bobby
Explanation:
Given the following:
Andy walked 1 3/4 min at a constant speed of 1 1/4 mi/h
Bobby walked 2 3/4 mi at a constant speed of 2 1/2 mi/h
Cathy walked for 1 h and 22 min at a constant speed of 1 1/4 mi/h
We are required to list the three people in order of the times they spent walking from least to the greatest time,
This is the same thing as listing the following numbers:
1 3/4, 2 3/4, and 1h 22min from least to greatest.
Andy: 1 3/4 = 7/4 = 1.75 = 2 hours, 15 minutes
Bobby: 2 3/4 = 11/4 = 2.75 = 3 hours, 15 minutes
Therefore, from the least to the greatest time, we have:
Cathy
Andy
Bobby
Which system of inequalities is shown? O Ayx у 2 в ух y2 с. у.х y2 р. уки
First, we need to find the equations of the two dotted lines.
One of the lines is parallel to the x-axis and passes through the point (0, 2), then its equation is:
y = 2
The other line has a slope of 1 and intercepts the y-axis at the point (0,0). Using the slope-intercept form with m = 1 and b = 0, its equation is:
y = mx + b
y = 1*x + 0
y = x
Given that the shaded region is below both lines and the lines are not included in the solution, then we need to use a "<" sign in the inequalities. Finally, the system of inequalities is:
y < x
y < 2
Which definition best describes a perpendicular bisector?Required to answer. Single choice. A line segment from a vertex of the triangles to the opposite side that divides an angle into two congruent adjacent angles. A line segment from a vertex of the triangles to the midpoint of the opposite side.A line segment from any vertex perpendicular to the line containing the opposite side of a triangle.A line that is perpendicular to a side of the triangle and also bisects that side of the triangle (it goes through the midpoint).
Answer:
A line that is perpendicular to a side of the triangle and also bisects that side of the triangle (it goes through the midpoint)
Step-by-step explanation:
A perpendicular bisector is a line segment perpendicular to and passing through the midpoint, dividing it into two equal segments and creating right angles.
6. Examine the two-way frequency table below.Gold Medals Silver Medals Bronze MedalsUSA 201842Spain 2511France 192726Based on the data in the two-way frequency table, what is the probability that a randomly selected player won a bronze medal given that the player represented Spain?22.4%24.4%13.995.5%PREVIOURPREVIOUS6 ofNEXTREVIEWSALSion outINTL
From the table, we can get the total number of players that took part in the games.
See the new table below;
From the table, we got the sum of players from each country, and also the sum of medals won by each player. This gave us a total of 201 when we calculate the total medals collected or the total from all the countries. Hence, the name two-way.
From the table, the number of Spain players that won bronze is 11, hence, the probability is;
[tex]\begin{gathered} \text{Probability = }\frac{n\text{umber of required outcome}}{n\text{ umber of total possible outcomes}} \\ P(\text{Spain player with bronze)= }\frac{n\text{ umber of Spain player that won bronze}}{\text{total n umber of players}} \\ =\text{ }\frac{11}{201} \\ =0.0547 \\ \text{Taking this to percentage, we have it to be 0.0547 x 100} \\ =5.47 \\ =5.5 \end{gathered}[/tex]Therefore, the probability of selecting a Spain player that won a bronze medal at random is 5.5%