Answer:
[tex]\displaystyle s = \frac{hz}{h-z}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle z = \frac{sh}{s+h}[/tex]
And we want to solve it for s.
First, we can multiply both sides by the denominator:
[tex]\displaystyle z(s+h) = sh[/tex]
Distribute:
[tex]\displaystyle sz + hz = sh[/tex]
Subtract hz and sh from both sides:
[tex]\displaystyle sz - sh = -hz[/tex]
Factor:
[tex]\displaystyle s(z-h) = -hz[/tex]
And divide. Hence:
[tex]\displaystyle s = \frac{-hz}{z-h} = - \frac{hz}{z-h} = \frac{hz}{h-z}[/tex]
Any one of the above three forms are correct, although the third form is preferred because it omits the additional negative.
Kayleigh has 2 apples for every 3 oranges in her fruit basket. If Kayleigh has 15 oranges altogether in her basket, how many apples must she have in her basket?
5 apples 10 apples
25 apples 15 apples
She will have 10 apples because there is a 2:3 ratio.
Answer:
10 apples.
Step-by-step explanation:
Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}
Answer:
29
Step-by-step explanation:
Write a few sentences discussing where you think the same kind of reasoning skills used in geometry proofs is applied in professional jobs.
Give 2 or more careers that apply. (6 points)
Provide clear reasoning or examples to justify your choices (4 points).
Answer:
Builder
Step-by-step explanation:
How do I get the x and y intercepts to graph this equation?
Y=-1/2x-3
Answer: x intercept is (-6,0) and y intercept is (0,-3)
Step-by-step explanation: the y intercept is when x=0. the x intercept is when y=0.
to solve this for the y intercept, we set x=0 in the equation y=-1/2x-3. so it would be y=-1/2(0)-3 therefore y= 0-3 and y=-3. the y intercept is (0,-3)
to solve for the x intercept, we set y=0. we plug it into the equation y=-1/2x-3 so 0=-1/2x - 3. this means we can change the sign of -1/2x from negative to positive and move it to the other side. so 1/2x=-3 to solve for x, we divide both sides by 1/2 so x=-6. so the x intercept is (-6,0)
please show working, please!
Answer:
84
Step-by-step explanation:
7/10 of them likes math and there are 240 student in total
240 / 10 = 24 and 24*7 = 168 student likes math if half of them are girls
then there are 84 girls that likes math.
h = -16t2 + 4t + 4
I don’t know how to approach this
Answer:
0.64 seconds
Step-by-step explanation:
Some extra unneeded information provided in this problem. Simply find t when h is equal to zero. (Factor out -4 if it makes it easier.)
0 = -16t^2 + 4t + 4
Solve using the quadratic equation:
t = ~0.64
Rhombus ABCD has vertices A(1,1), B(5,3), C(7.7), and D(3,5). After a translation, the image A'
is located at (-2,8). What are the coordinates of C'?
Answer:
C'(4, 14)
Step-by-step explanation:
find the distance between the 2 numbers on a number line. 6 and -4 1/4
Answer:
10 1/4
Step-by-step explanation:
[tex]6 - ( - 4 \frac{1}{4} )[/tex]
two negatives make a positive
[tex]6 + 4 \frac{1}{4} = 10 \frac{1}{4} [/tex]
A line is drawn so that it passes through the points (-6.0) and (19.45). What is the slope of the line? Round answer to the tenths place, if answer is a whole number than make the tenths place a zero to be counted correct
Answer:
The slope of the line is 1.8, or 1 4/5.
Step-by-step explanation:
This is right, trust me.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help
Answer:
The 3rd option
Step-by-step explanation:
Look at the data provided:
12, 17, 18, 20, 16, 10, 13, 21, 9, 10, 22
In a box-and-whisker plot, draw a box from the first quartile to the third quartile:
Q1 = 11
Q3 = 19
A vertical line goes through the box at the median:
Median (Q2): 15
The whiskers go from each quartile to the minimum or maximum:
Minimum: 9
Maximum: 22
Hope this helped :)
Again you don’t need to answer all of them but if you can do some that would be wonderful!
Find the value of y that makes lines u and v parallel,
THANKS !
Answer:
17) x=7
18) x= -26
19) x= -8
20) x= 6
Step-by-step explanation:
17) is congruent
18) is supplementary
19) is congruent
20) is congruent
Answer:
Q17. 6x+8=50 (alt angles, u//v)
6x=50-8
=42
x=42÷6
=7
Q18. 80°+x+106°=180° (int angles, u//v)
x+186°=180°
x=180°-186°
=-6
Q19. x+68=60 (vert opp angles)
x=60-68
=-8
Q20. 20x=120°
x=120÷20
=10
guys pls help me!!!!!!!
Your answer would be 154*. Reason being, if there are two parallel lines and a line running through them, you will only have 2 types of angles. The labeled 154* tells us that the angle to its right would be 26 degrees. Making line m = to 180 degrees at that angle. Then if you did the same thing with line t, you would get angle x to be equal to 154 degrees.
It is complicated like that, or as simple as just taking the 154 and saying that x has the same angle. Due to the fact that both angles are adjacent, they are the same.
which is bigger 0.8243 or 0.82
which is bigger 0.425 or 0.43
which is bigger 7.229 or 7.219
which is bigger 0.2 or 0.02
which is bigger 0.031 or 0.310
please help stat!!
A group of students left school at 8:00 am on a field trip to a science museum 90 miles away. Which best the average speed of the bus if they arrived at 10:00
Answer:
45 mph
Step-by-step explanation:
90 / 2 = 45 mph
Airfare from Atlanta, GA to Nashville,TN was decreased from $250 to $180. By what percentage did the cost of the airfare change?
Answer:A decrease of 28%
Step-by-step explanation: the question says decreased so you can mark out A and B then 250-180 is 70, 70% of 250 is 28%
The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%.
What is the percentage?
The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given question,
Initial price of Airfare = $250
Final price of Airfare = $180
The percentage = change/initial × 100
Percentage decrease = (250 - 180)/250 × 100
⇒ 0.28 × 100 = 28%
Hence "The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%".
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solve for x
r=xy
(Show solving steps please)
Answer:
x=r/y
Step-by-step explanation:
xy together means they are multiplying.
to move y over you do the opposite which is divide by Y on both sides
r/y = xy/y
that way x is next to 1, which we don't have to write
r/y=x
Pick < ,< or = to make the statement true. 11 ..... 52/9
PLZ HURRRYYYYY
Answer:
>
Step-by-step explanation:
lets make 52/9 a mixed number, 5 7/9
so >
11> 5 7/9
Please help!! I'm struggling so bad with this!!
Answer:
Step-by-step explanation:
25.
Statement / Reason
AB ≅ CD / given (side)
<ABD ≅ <CDB /given (angle)
BD ≅BD / reflexive property (side)
ΔABD ≅ Δ CDB / SAS theorem of triangles congruency
26.
Statement / Reason
< P ≅ < T / Given (angle)
PR ≅TR / Given (side)
< PRQ ≅< TRS / Vertical angles are congruent (angle)
ΔQPR ≅ΔSTR / ASA theorem of triangles congruency
28.
Statement / Reason
AB ≅ ED / Given (side)
< A ≅ < D / Given (angle)
<ASB ≅ <DCE / Vertical angles are congruent (angle)
ΔABC ≅ΔDEC / SAA theorem of congruency
30.
Statement / Reason
PS ≅ QR / Given (side)
PQ ≅ SR / Given (side)
PR ≅ PR / Reflexive propriety (the line segment is congruent with itself) (side)
ΔPSR ≅ ΔPQR / SSS theorem of congruency
31.
Statement / Reason
< M ≅ < L / Given (angle)
MK ≅ LK / JN bisects ML is given and by definition a line segment bisector forms two congruent parts. (side)
<MKJ ≅ <LKN / vertical angles are congruent (angle)
ΔMJK ≅ΔLNK / ASA theorem of triangles congruence
Which number is farther from 0 on a number line: -9 or 6? Explain your resoning.
Answer:
-9 because it is to the left of the number line, smaller than 6 and a negative
A number increased by 4 is less than 19.
Answer:
23 is the answer u understand
A pencil making machine took 1⁄10 of a second to make enough pencils to fill 1⁄9 of a box. At this rate, how long would it take the machine to fill the entire box?
Answer: 9/10 of a second
guys pls help me!!!!!!
Answer:
104
Step-by-step explanation:
Alternate angles are equal.
Aimee went to a stationary shop. She purchased 2 packs of red pens, 4 packs of black pens, and 3 packs of blue pens.
The cost of each pack of pens was $2.50. Which expression shows the total amount Aimee spent on the pens?
A ($2.50 x 2 x 4x3)
B $2.50 x (2+4+3)
C($2.50 x 2) + 3+4
D (52.50 +2 +4+3)
Answer:
A.
Step-by-step explanation:
The answer is B.
Each pack costs 2.50, so this means we can add all of our packs brought together, before multiplying. (2+4+3)=7. So our final equation should be 7 x 2.50 ,therefore B is our correct answer.
Hope this helps. & don't forget to drink water !!
hey I'm helping my sister with her homework and I sadly suck at these so cam someone please help me.:)
put these fractions from least to greatest
3/4 3/5 3/7
3/7, 3/5, 3/4
if you draw out a illustration representing each fraction, you would find the answer.
hope this helped.
6+8÷2
mathematics middle school
Answer:
10Step-by-step explanation:
6+8÷2=
6+4=
10
Answer:
10
Step-by-step explanation:
This can be calculated correctly using BIDMAS. This stands for Brackets, Indices, Multiply, Divide, Add, Subtract. Using BIDMAS will allow us to know what order to answer the question in.
In BIDMAS, Divide comes before Add, so we know to do this part first. So we do 8 divided by 2 which is 4.
The next part of our question is to add 6, so we do 6+4=10. So, 10 is the final answer.
What's The Answer To This?
Answer:
The answer would be:
c. [tex]2\sqrt{2}[/tex]
5√162−3√8 to its simplest form
Answer:
I think it is this one:
39√2
The simplest form of 5√162−3√8 is 39√2 or 55.146
What is simplification?
Simplification or simplifying fractions way to simplify a complex mathematical expression to get an unmarried or direct answer.
Calculation:-
⇒5√162−3√8
⇒5*12.72-3*2.83
⇒63.6-8.49
⇒55.146
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A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting salary of $31,000Raise of $3000 each yearCompany B:Starting salary of $38,000Raise of $2000 each yearPart A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.
Using linear functions, we have that:
A.
For Company A: [tex]S_A(n) = 31000 + 3000n[/tex]
For Company B: [tex]S_B(n) = 38000 + 2000n[/tex]
B. The salaries will be the same after 7 years.
A linear function is given by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.Item a:
For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, [tex]b = 31000, m = 3000[/tex], and the salary after n years is given by:[tex]S_A(n) = 31000 + 3000n[/tex]
For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, [tex]b = 38000, m = 2000[/tex], and the salary after n years is given by:[tex]S_B(n) = 38000 + 2000n[/tex]
Item b:
They will be the same after n years, for which:[tex]S_A(n) = S_B(n)[/tex]
Then
[tex]31000 + 3000n = 38000 + 2000n[/tex]
[tex]1000n = 7000[/tex]
[tex]n = \frac{7000}{1000}[/tex]
[tex]n = 7[/tex]
The salaries will be the same after 7 years.
A similar problem is given at https://brainly.com/question/24282972
Round 6,248 to the nearest hundred
Answer:6200
Step-by-step explanation:
:We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
: We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
: If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
:In this case, Rule B applies and 6248 rounded to the nearest hundred is:
6200
Answer: the answer is 6,200 hope it helps!
Step-by-step explanation:
Need help with math:/!!!!
MN is 6 units. Find the lengths of NZ and XZ.
For the image see if you have enough info to find the missing lengths. If not, explain why.
Answer:
Step-by-step explanation:
[tex]\frac{3 +NZ}{3}[/tex] = [tex]\frac{5+5}{5}[/tex] ⇒ NZ = 3
XZ = 6 × 2 = 12
The length of NZ = 3 units.
The length of XZ = 12 units
Triangle Proportionality TheoremWhat is Triangle Proportionality Theorem?A line that runs perpendicular to one side of a triangle and crosses the other two sides equally splits the two sides.
Use of Triangle Proportionality Theorem to find the sides:Step 1: Consider side NY, NZ, YM, MX
By the theorem,
[tex]\frac{YN}{NZ}=\frac{YM}{MX}[/tex]
[tex]\frac{3}{NZ}=\frac{5}{5}[/tex]
[tex]NZ=3[/tex] units
Step 2: Consider sides YM, YX, NM, ZX
[tex]\frac{YM}{YX} =\frac{NM}{ZX}[/tex]
[tex]\frac{5}{10} =\frac{6}{ZX}[/tex]
[tex]ZX = 12[/tex] units.
Therefore, the values for the sides are NZ = 3 units and XZ = 12 units.
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