5. Julia's test scores on the first four science tests were: 85, 77, 63, 90. Therewill be five tests. She needs an average of at least 80 in order to get a B on herreport card.Part B: What is the minimum score that Julia must earn on her final test in orderto get a B average?
Answers
Let the minimum score be x
(85 + 77 + 63 + 90 + x)/5 = 80
315 + x = 400
x = 400 - 315
= 85
Julia must get a minimum score of 85 to get a B average
Related Questions
what is 9/7 ÷ 2/3 ?
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we have the expression
[tex]\frac{9}{7}\div\frac{2}{3}=\frac{9*3}{2*7}=\frac{27}{14}[/tex]The answer is 27/14Which 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).
Answers
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.
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.
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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.
Name the rotation that maps the black triangle onto the red triangle. Explain how you know(See picture below)
Answers
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
Which system of inequalities is shown? O Ayx у 2 в ух y2 с. у.х y2 р. уки
Answers
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
Five students, Stella, Victoria, Alexander, Eva, and Hunter, line up one behind theother. How many different ways can they stand in line?
Answers
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
What is the equation of the line that passes through the point (5, 3)and has a slope of -4/5
Answers
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
Answers
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
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?
Answers
Answer:
Its a scam AT&T has no such sale going on right now.
Step-by-step explanation:
how do I find the length of x and y?
Answers
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
Answers
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]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.
Answers
Step by step
When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, you change the sign on your x value first and then switch positions of x and y.
X = (2, -1) ➡️ X’ = (-1, -2)
Y = (-4, -3) ➡️ Y’ = (-3, 4)
Z = (3, 2) ➡️ Z’ = (2, -3)
Now to graph, start with your pre image points. (x, y)
From (0, 0) center /origin, move your cursor (left negative or right positive) for x, (down negative or up positive) for y.
Then plot your image points to see how the figure has transformed.
I graphed them for you in the attachment
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?
Answers
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 gamePLEASE 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
Answers
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
guess this i am less than 10 i am not a multiple of 2 i am a composite number
Answers
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.
To learn more about composite number refer to:
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Two more than the cube root of a number
Answers
We have
[tex]undefined[/tex]divide decimals by decimals 033 divided by 688
Answers
The given numbers are 0.33 divided by 6.88
[tex]\frac{0.33}{6.88}=0.0479[/tex]Answer : 0.0479
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.
Answers
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
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?
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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
Find the Value of X, round your answer to the nearest 10th
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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.
For more references on trigonometric ratios, click;
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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
Answers
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%
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
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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
hello I don't you can help me with this please
Answers
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
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
Answers
$1.41 - .35= $1.06
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
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Answer:
what propositions?
Step-by-step explanation:
-4x-5-2x+3 simplify
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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]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.
Answers
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
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?
Answers
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
Solve the system of equations x + 2y = 0 Solve the equation for x.
Answers
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
_______________________
What is 6/24 in lowest terms(I’m reporting wrong answers)
Answers
The greatest common factor of 6 and 24 is 6.
Divide the numerator and denominator by 6.
6/24 = (6/6) / (24/6) = 1/4