Molly has already taken 5 quizzes during past quarters, and she expects to have 4 quizzes during each week of this quarter. Write an equation that shows the relationship between the number of weeks x and the total number of quizzes y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 5 + 4(w)
Step-by-step explanation:
Given that:
Consider y to be the total number of quizzes and x to be the number of weeks;
The number of quizzes already taken during the past quarters = 5
The number of quizzes to be each week = 4
Therefore, the total number of quizzes is represented by quiz given during the past quarter and the quiz to be given in the future during every week of the quarter.
i.e
Total number of quiz y = quiz already taken during the past quarter + number of quiz each week(total number of weeks)
y = 5 + 4(w)
This is the required relationship between the number of weeks x and the total number of quizzes y.
Which equations and/or functions represent the graphed line? Select three options.
f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2+1
y-3=1/2(x-2)
y-1=1/2(x+2)
Answer:
The second one, the fourth one, and the fifth one.
f(x)=(1/2)x+2
y-3=1/2(x-2)
y-1=1/2(x+2)
The three equations that represent the graphed line are:
f(x) = (1/2)x + 2
y - 1 = (1/2)(x + 2)
y - 3 = (1/2)(x - 2)
To identify which equations and/or functions represent the graphed line, we can compare the given equations with the characteristics of the graph.
The graphed line appears to have a slope of 1/2 and passes through the point (0, 1). Let's check the options:
f(x) = (1/5)x - 4: This equation has a slope of 1/5, not 1/2, so it does not represent the graphed line.
f(x) = (1/2)x + 2: This equation has the correct slope of 1/2, but it does not pass through the point (0, 1), so it does not represent the graphed line.
f(x) = (1/2) + 1: This equation is not in slope-intercept form and does not represent the graphed line.
y - 3 = (1/2)(x - 2): This equation has the correct slope of 1/2 and passes through the point (2, 3). However, it does not pass through the point (0, 1), so it does not represent the graphed line.
y - 1 = (1/2)(x + 2): This equation has the correct slope of 1/2 and passes through the point (−2, 1) (after rearranging to slope-intercept form). It also passes through the point (0, 1), which matches the graph.
The three equations that represent the graphed line are:
f(x) = (1/2)x + 2
y - 1 = (1/2)(x + 2)
y - 3 = (1/2)(x - 2)
To know more about equations:
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One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?
Answer:
500
Step-by-step explanation:
Given that:
Shape of one of the Great Pyramids in Egypt is a square pyramid.
Base of pyramid is of square shape with length = 20 feet
Height of pyramid = 150 feet
Volume of each stone used for the construction of the pyramid = 40 cubic feet
To find:
Number of stones used for the construction of the pyramid.
Solution:
First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.
It will give us the number of stones used for the construction of pyramid.
Volume of a pyramid is given as:
[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]
Here, base is a square, so area of base = [tex](Side)^2[/tex]
[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]
Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500
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Get Ya free 25
Answer:
Ok
Step-by-step explanation:
If the scientific notation is 3.042x10^2 what would it looked like in standard form? please help.
Answer:
Convert to scientific notation. 1.) 2,800 2.8*10%. 2.) 742,00p, 7.42 x 105. 3. ... When translating scientific notation to standard form, you need to decide which way to move the decimal point. If the exponent is negative, you move the decimal point to the. -left ... We should move the decimal point 3 places to the left.
Step-by-step explanation:
Answer:
304.2
Step-by-step explanation:
3.042 * 100 = 304.2
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .
Answer:
1. ac = 36
2. b = 13
3. 4 and 9
Step-by-step explanation:
Given
6x² + 13x + 6
Required
Fill in the gaps
Solving (1): The value of AC
The general form of an equation is:
ax² + bx + c
By comparison:
a = 6
b = 13
c = 6
So,
ac = a * c
ac = 6 * 6
ac = 36
Solving (2): The value of b
In (1) above, we showed that
b = 13
Solving (3): Two numbers that satisfy product ac and sum b
We have that.
ac = 36
If one of the numbers is 4, then the other number is
Other number = 36/4
Other number = 9
Alternatively, we have that.
b = 13
If one of the numbers is 4, then the other number would be:
Other number = 13 - 4
Other number = 9
Answer:
ac = 36
b = 13
The two numbers that have a product of ac and a sum of b are 4 and 9
Step-by-step explanation:
I need help with this question! Will mark brainliest :)
Answer:
y = 7x + 1
Step-by-step explanation:
This is the most viable option because m=7/1 and the y intercept is y=1
standard form for y=mx+b
Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)
In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC. Find BD if the perimeter of ABC is 50m and the perimeter of ABD is 40m
Given:
In isosceles triangle ABC, consider AB=BC and the segment BD with D a point on AC is the median to the base AC.
Perimeter of ABC is 50m and the perimeter of ABD is 40m.
To find:
The length of BD.
Solution:
In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC.
[tex]AB=BC[/tex] ...(i)
[tex]AD=CD[/tex]
[tex]AC=2AD[/tex] ...(ii)
Perimeter of ABC is 50m.
[tex]AB+BC+AC=50[/tex]
[tex]AB+AB+2AD=50[/tex] [Using (i) and (ii)]
[tex]2AB+2AD=50[/tex]
[tex]2(AB+AD)=50[/tex]
Divide both sides by 2.
[tex]AB+AD=25[/tex] ...(iii)
Now, perimeter of ABD is 40m.
[tex]AB+AD+BD=40[/tex]
[tex]25+BD=40[/tex] [Using (iii)]
[tex]BD=40-25[/tex]
[tex]BD=15[/tex]
Therefore, the length of BD is 15m.
-4(a-12) help me because I am really confused
Answer:
-4a+48
Step-by-step explanation:
Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.
-4*a + (-4*(-12))
= -4a+(48)
= -4a+48
Hope this helps!
Answer:
-4a+48
Step-by-step explanation:
Multiply -4 to a and -12
-4a+48
Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.
353.25
a=(3.14*15^2)/2
a=706.5/2
a=353 sq in
the sheep died yesterday why
Answer:
it just died because of natural causes haha
Step-by-step explanation:
Answer:
uhhh maybe because it got old or lack of care for they sheep or it got hunted ;-;
Step-by-step explanation:
What is 9 to the first power times (-2)3?
(A) -27
(B) 36
(C) -72
(D) 27
Answer:
-72
Step-by-step explanation:
9*(-2)³ = 9*(-8) = -72
Answer:
(C) -72
Step-by-step explanation:
[tex]9^1*(-2)^3[/tex]
Any number to the exponent of 1 is equal to themselves
[tex]= 9*(-2)^3[/tex]
Solve the exponent and multiply
[tex]= 9*(-8)\\=-72[/tex]
I hope this helps!
A train traveling at 37 M.P.H. had its speed increased by 22 ft. per sec.
If 88 ft./sec. = 60 M.P.H., then the train is now traveling at M.P.H.
Answer:
52 mph
Step-by-step explanation:
If 88 ft/sec = 60 mph
The 22 ft/ sec is 60/4 = 15 mph
This is so because 88/22 is 4
So we simply proceed to add this to the previous speed in mph
That gives a total of 15 + 37 = 52 mph
Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets
Answer:
100 ticketsStep-by-step explanation:
Probability of winning = amount of tickets purchased/Total number of tickets
20% = 20/total number of tickets
20/100 = 20/total number of tickets
cross multiply
20 * total number of tickets = 20 * 100
20 * total number of tickets = 100
total number of tickets sold = 100 tickets
Answer:
100 tickets
Step-by-step explanation:
Hi and goodbye
Plzzzzzzzz help I don’t understand
Answer:
Slope formula: y2-y1/x2-x1
Step-by-step explanation:
8-6/9-6= 2/0
Answer:
Step-by-step explanation:
Alright we need to prove that both the triangles are similar so lets get started
The slope formula is:
Slope = Change in y / Change in x
m = Δy / Δx
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\[/tex]
Where, m is the slope and [tex](x_1,y_1) , (x_2,y_2)\\[/tex] are any points on the line
In this graph we are given three points which are
(0 , 2) , ( 6 , 6) and (9 , 8)
So for our first triangle we use the 2 points (0 , 2) and (6 ,6) and calculate the slope,
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-2}{6-0}\\\\m=4/6\\\\m=2/3\\[/tex]
So the slope turns out to be 2/3 , Now for our second triangle use the 2 points (6 , 6) and (9 , 8)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{8-6}{9-6}\\\\m=2/3\\[/tex]
So we can see the the slope's are equal that's the answer to your first part.
Second part
Yes they are similar due to the property of corresponding angles where angle x of the first triangle equals angle x for the second triangle and angle y for the first triangle equals angle y for the second triangle and both the triangles have 90° se they are similar because all three angles are similar. (AAA = angle angle angle property) I have attached a to make you understand it better.
Which sample size would give the
best estimate of the population
mean?
Answer choices:
18
30
45
60
{Stop scrolling} this is not a question but I just wanted you to know that you are doing absolutely amazing and I am extremely proud of you:) Ik school can be stressful but just know that you got this loves <3
I love u ♥️
Answer:
Ty :D
Step-by-step explanation:
School is hard
HELP PLEASE ITS SO HARD IM CRYING PLS HELP
Answer:
I think it might be d
Step-by-step explanation:
Im not completely sure, BUT YOU GOT THIS
What is the answer to -9 = 2/7x + 5
Answer: x = -49
Step-by-step explanation:
hope this helped
use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.
Answer:
18. AE = 6
19. BG = 6
20. CF = 5
21. GF = 2
22. CE = 3
23. AC = 3·√5
24. A_F = 10
25. DA = 3·(√5 - 1)
Step-by-step explanation:
Whereby the point C is the center of the circle, we have;
CB = CG = CE = 3 = The radius of the circle with center at C
CE = 3
CF = √(4² + 3²) = 5 by Pythagoras' theorem
CF = 5
GF = CF - CG = 5 - 3 = 2
GF = 2
BG = CB + CG = 3 + 3 = 6
BG = 6
Whereby, BC is a tangent to the circle with center, C, we have;
A_F = √(8² + 6²) = 10 by Pythagoras' theorem
A_F = 10
AE = A_F - EF = 10 - 4 = 6
AE = 6
AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem
AC = 3·√5
DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)
DA = 3·(√5 - 1).
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75.
Answer:
profit 40 dollars
Step-by-step explanation:
what is 3/4 divided by 1/2
Simplify.
34−4x+12x−12+12x
Enter your answer in the box.
Do not use decimals in your answer.
Answer:
22 - 28x
Step-by-step explanation:
34−4x+12x−12+12x
you wanna combine like terms
34 - 16x + 12 + 12x
34 - 28x + 12
22 - 28x
Wich of the following appear in the diagram below NEED ANSWER QUICK
The A, the C and the D because we have the vectors YX and YW which start from Y and the angle XYZ because the angle is around Y
What is the definition of the average rate of change?
Answer: basically rate of change is the rate either slow or fast the thing could be anything changes
Step-by-step explanation:
so i was soooooooo confused on that same thing when i studied it
Step-by-step explanation:
there is the thing Google a said
Plz help fast answer
Answer:
1: Patriotic
2: Global
3: Graphic
4:heroic
5: betrayel
6:angelic
7: dramatic
8: bacterial
Step-by-step explanation:
I think this is it
Was I correct? I was having a bit of trouble on C and D :(
Answer:
You got A and D is right but C and B is switched
Step-by-step explanation:
The main thing is to first look at the y-intercept, C and B have different y-intercepts than the equation u gave them. So keep an eye out for that.
31q=7.037 what is the value of q??
Answer:
0.227
Step-by-step explanation:
q=7.037/31
q=0.227
what percent of students have played an instrument for 3 years ?
(round tenths)
please help
Answer:
%22.2
Step-by-step explanation: