Answer:
y = mx + c ......( general form)
y = -1/5X - 3
There are 63 students in band. This represents 30% of the grade. How many students are in the entire grade
So, the question is 63 is 30% of what number?
That can translate to the equation
63 = 30% · x or 63 = 0.3x
Divide by 0.3 and you get x = 210.
There are 210 students in band.
Answer:
210 students
Step-by-step explanation:
210 x (3/10) = 63
.........................
Answer:
[tex]2[/tex]
Step-by-step explanation:
Let [tex][n][/tex] denote the area of some polygon [tex]n[/tex].
The sum of the area of quadrilaterals BCDE and MNDE is equal to [tex][ABC]-([MBE]+[NDC]+AMN])[/tex] (big triangle subtracting the three smaller triangles that aren't part of BCDE or MNDE).
Let the area of triangle ABC be [tex]\alpha[/tex].
Triangle AMN is similar to triangle ABC. Because their side lengths are in ratio 1:2 respectively, the ratio of the area of triangle AMN to triangle ABC is [tex]1:2^2=1:4[/tex].
Therefore, [tex]\displaystyle [AMN]=\frac{1}{4}[ABC]=\frac{1}{4}\alpha[/tex].
Now for triangle NDC, NDC is similar to triangle AMC. Since M is the midpoint of AB, AMC is half the area of ABC. The ratio of the side lengths between triangle NDC and triangle AMC is [tex]1:2[/tex] because the D is the midpoint of MC, so it follows the ratio of their areas must be [tex]1:4[/tex], respectively.
Therefore, [tex]\displaystyle[NDC]=\frac{1}{4}[AMC]=\frac{1}{8}[ABC]=\frac{1}{8}\alpha[/tex].
We can use the same concept for triangle MEB. Triangle MEB is similar to triangle ANB, and the ratio of their sides is also [tex]1:2[/tex], since E is the midpoint of BN. Their areas are in the ratio [tex]1:2^2=1:4[/tex] and we have [tex]\displaystyle [MBE]=\frac{1}{4}[ANB]=\frac{1}{8}\alpha[/tex].
Thus,
[tex]\displaystyle \frac{[ABC]}{[BCDE]+[MNDE]}=\frac{\alpha}{\alpha-\frac{1}{4}\alpha-\frac{1}{8}\alpha-\frac{1}{8}\alpha}=\frac{\alpha}{0.5\alpha}=\frac{1}{\frac{1}{2}}=\boxed{2}[/tex]
A patients IV bag contains 750mL. Four hours later, the IV bag contains 450mL.
a) Determine the rate at which the bag is draining.
b) Use your answer from (a) to predict how many mL of IV fluid are left in the bag after 6 hours.
(a) The rate at which the bag is draining is 75mL/h.
(b) After 6 hours, the remaining fluid is =0 mL.
What is rate?Rate is a measurement of change of a quantity with respect to another quantity.
Given that,
Initial volume of bag=750 mL,
After 4 hours later, the volume of bag= 450.
(a)
To determine the rate of draining,
The change of volume in 4 hours= 750-450=300
The change of volume in 1 hour = 300/4=75
So, the rate of draining= 75mL
(b)
To determine the remaining volume of bag after 6 hours,
The volume drains in 1 hour=75 mL
The volume drains in 6 hours = 75×6=450
The remaining fluid = 450-450=0
The fluid remains after 6 hours is 0mL.
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How to divided 4 and 2/4
Answer:
8
Step-by-step explanation:
turn 2/4 into fraction by dividing 2 by 4 equals to 0.5 then divide 4 by 0.5 equals 8
What is the equation of a line that passes through the points (3, 6) and (8, 4)?
Answer:
[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]
Step-by-step explanation:
→ Find the gradient
[tex]\frac{4-6}{8-3}= \frac{-2}{5} =-\frac{2}{5}[/tex]
→ Write into y = mx + c format
[tex]y=-\frac{2}{5} x+c[/tex]
→ Substitute in ( 3 , 6 )
[tex]6 = -\frac{6}{5} +c[/tex] ∴ [tex]c = 6+\frac{6}{5} =\frac{36}{5}[/tex]
→ Rewrite into y = mx + c format
[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]
Help!!! Show work!!!!!
Answer:
1. (-2,-5) (-1,-1) (0,3) (1,7) (2,11)
2. (-8,-4) (-4,-3) (0,-2) (4,-1) (8,0)
3. (-4,3) (-2,2) (0,1) (2,0) (4,-1)
4. (-2,-1) (-1,2) (0,5) (1,8) (2,11)
Step-by-step explanation:
1. Slope = (11-7)/(2-1) = 4/1 = 4/1
y-intercept: 7 - (4)(1) = 3
Start in the vertical line (y) on 3, 4 up and 1 to the right (you need to points to trace a line)
2. Slope = (0- - 2)/(8-0) = 1/4
y - intercept = -2-(1/4)(0) = -2
Start on -2 vertical line, 1 up and 4 to the right.
3. Slope = (1-0)/(0-2 = -1/2
y-Intercept: 0 - (-1/2)(2)=1
Start on 1 vertical line then 1 down and two to the right (the slope is negative, the line goes downhill)
4. Slope: (8-1)/(1-0) = 7/1
y-intercept = 1 - (7)(0) = 1
Start on 1 vertical line (y) , seven up and 1 to the right.
[tex] \frac{25}{ \sqrt[3]{5} } [/tex]write ^ as a power of 5
Answer:
[tex]5^{\frac{5}{3} }[/tex]
Step-by-step explanation:
Using the rules of exponent
[tex]\sqrt[3]{a}[/tex] = [tex]a^{\frac{1}{3} }[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
[tex]\frac{25}{\sqrt[3]{5} }[/tex]
= [tex]\frac{5^2}{5^{\frac{1}{3} } }[/tex]
= [tex]5^{\frac{6}{3}-\frac{1}{3} }[/tex]
= [tex]5^{\frac{5}{3} }[/tex]
What is the name of the process you use to rewrite a quadratic function from standard form into vertex form?
Graphing the transformation
Completing the square
Creating vertex form
Transforming the parent function.
Answer:
completing the square
Step-by-step explanation:
You can change a quadratic equation from standard form to vertex form by completing the square!
Which methods of evaluating a capital investment project ignore the time value of money?
Answer: Varies
Step-by-step explanation:
It involves any that is not concerned with making a profit.
Need some help!!!!! This is hard for me!
Answer:
X-intercept: (25,0)
Y-intercept: (0,55)
Step-by-step explanation:
What is 4a I will give brainiest to whoever’s is first
In BCD, BC = DB and mB = 139º. Find mD.
What is the median of these figure skating ratings? 5.0 6.0 7.0 7.5 8.0 9.0 10.0
Would appreciate the help
i dont know :))))))))))))))))))))))
525, 650, 539, 643, 764, 539, 687
What is the interquartile range of these numbers
Answer:
148
Step-by-step explanation:
sorry, im not sure how to solve it, but its 148
hope this kinda helped :)
mark me brainliest :D
A metal rod is
7
8
meters long. It will be cut into pieces that are each
1
56
meters long. How many pieces will be made from the rod?
Answer:
5
Step-by-step explanation:
I'm not so sure with the number's you submited but I assume it's 7,8m and 1,56 m
1. convert them to cm (780 cm and 156 cm )
2. 780/156 = 5
Write 0.007 as a fraction.
Do not try to simplify your answer.
05
금
Х
5
?
Answer:
7/1000
Step-by-step explanation:
The graph of y = (x -k)? is shown below.
у
61
5
لما له
1
-3-2-1
1 2 3 4 5 6 7
X
1
-2
-3
What is the value of k?
Answer:
(7) 3 2 2x 23 xy y - 10 0 Solution The equation 2x2 23xyy2-100 has A2,B 23, and (1 13) as p3 (Example 2). 13: 271279. 2 m) long and 6 ft Step-by-step explanation:
(I am giving branlest) (plz help only if you understand )
Which expression has the sum of twenty six twentieths?
two fifths plus four tenths
four fifths plus two fourths
one half plus three tenths
three fourths plus two fifths
b. four fifths plus two fourths
Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.
Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.
4/5 20/5 = 4 4×4 = 16 so 4/5 is equivalent to 16/20
2/4 20/4 = 5 5×2 = 10 so 2/4 is equivalent to 10/20
Add: 16/20 + 10/20 = 26/20
brainliest me
Without graphing, describe the transformation from the parent function
f(x) = | x |.
1. y = 5| x |
2. y = 1/3 I x I
3. y = 3| x |
Answer:
1. y = 5|x| ⇒vertical stretch
2. y = ⅓|x| ⇒vertical compression
3. y = 3|x| ⇒vertical stretch
Step-by-step explanation:
Given the parent absolute value function, f(x) = |x|:
1) y = 5|x|The transformed function, y = a|x|, where |a| > 1, represents the vertical stretch of the parent graph by a factor of a.
A vertical stretch is a transformation to the parent function where there is an increase in distance between corresponding points of a graph.Therefore, the absolute value equation, y = 5|x|, represents a vertical stretch of the parent function by a factor of 5. The graph of y = 5|x| is narrower than the parent function, f(x) = |x|.
2) y = ⅓|x|The transformed function, y = a|x|, where 0< |a| < 1, represents the vertical compression of the parent graph by a factor of a.
A vertical compression is a transformation to the parent function where there is a decrease in distance between corresponding points of a graph.Therefore, the absolute value equation, y = ⅓|x|, represents a vertical stretch of the parent function by a factor of ⅓. The graph of y = ⅓|x| is wider than the parent function, f(x) = |x|.
3) y = 3|x|
Similar to question 1, the absolute value equation, y = 3|x|, represents a vertical stretch of the parent function by a factor of 3. The graph of y = 3|x| is narrower than the parent function, f(x) = |x|.
Attached are the graphs of the given absolute value functions, where it shows the transformations to the parent function, f(x) = |x|.
What is the density of the oak board? Show your work.
What is the density of the oak board? Show your work.
Answer:
it is 5.5 inches wide, 1.5 inches thick and 3 feet long
Answer: Im not really sure if this is correct but it's what I put so I hope it is. If it's incorrect please let me know.
Step-by-step explanation:
We first need to find its mass and volume.
Mass: 8.05
Volume: Turn 3 feet into inches: 36
36in × 1.5in × 5.5in =297
Density : 8.05lb ÷ 297 cubic inches = 0.027 cubic inches
(HELP PLEASE 1!!!!!1!!) How can you tell if data is continuous or discrete
Answer:
Socratic app
Step-by-step explanation:
it will help you
For the given equation, what is the step to clear the fractions and who -- Multiply both sides by 6 to get 2-1 =7 Multiply both sides by 12 to get 2y - 1 = 7 Multiply both sides by 6 to get dy - 1 = 21 Multiply both sides by 18 to get 12y - 3 = 7
Step-by-step explanation:
you should add the equation for one to answer
Given m\parallel nm∥n, find the value of x. n m (8x+19)° 59°
Select the table of values that you would use to graph f(x) = 3x2 – 4.
Hello Please help.
The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex] is option "B"
What is point on graph?A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph.
According to the question
Points on graph for equation :
[tex]f(x) = 3x^{2} -4.[/tex]
Now,
Table of points on graph
x y
-2 8
-1 -1
0 -4
1 -1
2 8
Hence, The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex] is option "B" .
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Harold and his brother collected 2019 cans a 1-year period. Each boy collected the same number of cans. About how many cans did each boy collect? Explain how you found your answer.
Answer:
1008.5 cans
Step-by-step explanation:
2019/2=1008.5
if you wanted per day, 1008.5/365=2017/730
Plz help me well mark brainliest! Only if u are right!
Answer:
[tex]x=-6\frac{1}{2}[/tex]
Step-by-step explanation:
I hope this help you
Answer:
B. x = -6 1/2
Step-by-step explanation:
13 3/4 + x = 7 1/4
55/4 + x = 29/4
x = -26/4 ~ -6 1/2
pls help me i will mark as brilliant
Answer:
6
Step-by-step explanation:
[tex]45 \: min = 0.75 \: hour[/tex]
[tex]0.75 * 8 = 6 \: hours[/tex]
Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?
Answer:
DE = 30
Step-by-step explanation:
Let X be the measure of side DE.
You can write this equation to represent the problem:
[tex]x *\frac{2}{3} =20[/tex]
The measure of DE (x) is multiplied by the scale factor of [tex]\frac{2}{3}[/tex] to become 20.
Solve for x:
[tex]x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30[/tex]
DE = 30
5 1/8 - 3 2/3 =? ..............................
Answer:
1 11/24
Step-by-step explanation:
5 1/8= 41/8
3 2/3 = 11/3
41/8 -11/3 = (41*3)/(8*3) -(11*8)/(3*8)
=123/24 -88/24
= (123-88)/24
=35/24
=1 11/24