Answer:
r = 1/2(s -t/x)
Step-by-step explanation:
Here, we simply want to make r the subject of the formula;
We proceed as follows;
s = 2r + t/x
s - t/x = 2r
Divide both sides by 2
r = 1/2(s - t/x)
Which shows the correct way to use the rule ""multiply by the reciprocal"" for the expression below? 7 divided by StartFraction 5 Over 8 EndFraction StartFraction 1 Over 7 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 5 Over 56 EndFraction StartFraction 7 Over 1 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 35 Over 8 EndFraction StartFraction 1 Over 7 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 8 Over 35 EndFraction StartFraction 7 Over 1 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 56 Over 5 EndFraction
Given:
The expression is [tex]\dfrac{7}{\frac{5}{8}}[/tex].
To find:
The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.
Solution:
According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
We have,
[tex]\dfrac{7}{\frac{5}{8}}[/tex]
It can be written as
[tex]\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}[/tex]
Using the rule "multiply by the reciprocal", we get
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}[/tex]
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}[/tex]
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}[/tex]
Therefore, the correct option is D.
Joey’s parents told him that for every 3 hours of chores he completes, they would give him $11for his allowance. His friend Sarah’s parents told her that she would earn $2 for every 30 minutes of chores completed. If both kids spend the same amount of time on their chores, which person gets more money for their allowance? How do you know?
A runner ran 20 miles in 150 minutes. If she runs at that speed,
How long would it take her to run 6 miles?
How far could she run in 15 minutes?
How fast is she running in miles per hour?
What is her pace in minutes per mile?
Gianna is paid $90 for 5 hours of work.
At this rate,how much would Gianna earn for 8 hours of work? Show work to justify your answer.
At this rate, how long would Gianna have to work to earn $60? Show work to justify your answer.
150 ÷ 20 = 7.5 minutes per 1 mile
7.5 x 6 = 45 minutes
7.5 + 7.5 = 15 minutes or 2 miles in 15
60 ÷ 7.5 = 8 mph
mpm = 7.5
90 ÷ 5 = $18 per hour
18 x 8 = $144
18 x 3 = 54 (close to $60)
Step-by-step explanation:
hope this helps
Answer: (a) Sarah (b) 45 minutes (c) 2 miles (d) 8 miles per hour
(e) 7.5 minutes per mile (f) $144 (g) 3 1/3 hours
Step-by-step explanation:
[tex]\text{Joey:}\quad \dfrac{\$11}{3\ hours}\\\\\\\text{Sarah:}\quad \dfrac{\$2}{\frac{1}{2}\ hour}\times \dfrac{6}{6}=\dfrac{\$12}{3\ hours}[/tex]
When comparing the same number of hours, Sarah earns $12, Joey earns $11.
***************************************************************************************************
[tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{6\ miles}{x}[/tex]
Cross Multiply: 20(x) = 150(6)
Divide by 20: x = 900/20
Simplify: x = 45 minutes
***************************************************************************************************
[tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{x}{15\ minutes}[/tex]
Cross Multiply: 20(15) = 150(x)
Divide by 150: 300/150 = x
Simplify: 2 miles = x
***************************************************************************************************
Use conversion: 60 minutes = 1 hour
[tex]\dfrac{20\ miles}{150\ minutes}\times \dfrac{60\ minutes}{1\ hour}=\quad \dfrac{1200\ miles}{150\ hour}\quad =\large\boxed{\dfrac{8\ miles}{1\ hour}}[/tex]
***************************************************************************************************
[tex]\dfrac{150\ minutes}{20\ miles}\div \dfrac{20}{20}=\quad \large\boxed{\dfrac{7.5\ minutes}{1\ mile}}[/tex]
***************************************************************************************************
[tex]\dfrac{\$90}{5\ hours}=\dfrac{x}{8\ hours}[/tex]
Cross Multiply: 5(x) = 90(8)
Divide by 5: x = 720/5
Simplify: x = $144
***************************************************************************************************
[tex]\dfrac{\$90}{5\ hours}=\dfrac{\$60}{x}[/tex]
Cross Multiply: 5(60) = 90(x)
Divide by 90: 300/90 = x
Simplify: 3 1/3 hours = x
write each decimsl as a mixed number in its simplest form.
3.6 10.4 1.5 5.10
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
In a complete sentence, state the correct equation for the scenario.
Identify and define your variable. Then, using the correct vocabulary, and math
process, explain how to accurately solve the problem. Lastly, In a complete sentence
define your answer.
Answer:
Eric earnings equals $7
Step-by-step explanation:
Let amount earned by Robert = $10
Amount earned by Eric = $x
Robert earnings = 2x - 4
2x - 4 = 10
2x = 10 + 4
2x = 14
Divide both sides by 2
x = 14 / 2
= 7
x = 7
Eric earns $x which is equal to $7
Eric earnings equals $7
Find the unit rate
93 push-ups in 3 days = push-ups per day
Answer: 31 push-ups per day
Step-by-step explanation: 93/3 = 31 because 90/3=30 and 3/3 = 1 so 30 + 1 = 31.
Hope this helps!
i cant think rn please help :/
Answer:
the thing i cant see it
Step-by-step explanation:
Answer:
Julie will reach her goal first. i dont know how to explain it but you could probably figure that out
Which are vertical angles?
Step-by-step explanation:
AFE-BFD<---------------
Hello.
Vertical angles are two sets of angles congruent to each other, both on opposite sides, but measure the same.
In the diagram shown, both angles ∠BFC and ∠EFA are identical, it seems mirrored, thus they are vertical angles.
The correct answer is B.
Riya is applying mulch to her garden. She applies it at a rate of 250 , 000 cm 3 250,000 cm 3 250, comma, 000, start text, space, c, m, end text, cubed of mulch for every m 2 m 2 start text, space, m, end text, squared of garden space. At what rate is Riya applying mulch in m 3 m 2 m 2 m 3 start fraction, start text, m, end text, cubed, divided by, start text, m, end text, squared, end fraction?
Answer:
0.25m³
Step-by-step explanation:
If Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm³ for every m², to know how much she is applying in m³ for every m², we will make use of the conversion formula:
100cm = 1m
1cm = 1/100m
1cm = 0.01m
250,000cm³ = 250,000 × 1cm×1cm×1cm
250,000cm³ = 250,000×0.01×0.01×0.01
= 250,000×0.000001
= 0.25m³
Hence Riya is applying at 0.25m³ per m²
Answer:
0.25m³ / m²
Step-by-step explanation:
Given that:
Rate of application = 250,000 cm³ of mulch per m²
The rate of application in m³ per m² can be calculated thus :
Converting 250,000 cm³ to m³
1cm = 1/100 = 0.01m = 1 * 10^-2 m
Hence
1cm³ = (1 * 10^-2 m)³ = 1 × 10^-6 m³
Hence,
250,000cm³ = (250,000 * 10^-6)m³ = 0.25m³
Hence, rate of application in m³ / m² equals
0.25m³ / m²
Carmine buys 3 plates for $2 each. He also buys 10 bowls. Each bowl costs twice as much as each plate.
The store is having a sale that gives Carmine $3 off the total cost of the bowls.
Which numerical expression shows how much he spent?
(3 * $2) + (10 ($6 - $3)]
A
(3 * $2) + [(10 $6) - $3]
B
(3 x $10) + [(10 $4) - $3]
с
D
(3 * $2)+((10 $4) - $3]
Answer: c
Step-by-step explanation:
3 times a number less than 5 is at most 21
What is the value of (-12) 3 - 15?
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
−12x+1=7x−14
Answer: x=15/19 =0.789
Step-by-step explanation: -12*x+1-(7*x-14)=0
-19x+15 = 0
Subtract 15 from both sides of the equation :
-19x = -15
Multiply both sides of the equation by (-1) : 19x = 15
Divide both sides of the equation by 19:
x = 15/19 = 0.789
x = 15/19 = 0.789
will mark as brainliest
Answer:
-1 + 2 = 1
1 + (-2) = -1
-1 - 2 = -3
1 - (-2) = 3
Step-by-step explanation
When you subtract use keep change change
Rule 1 when you add : If the signs are the same add the numbers and take the sign of the bigger number.
Rule 2 when you add : If the signs are different subtract the numbers and take the sign of the bigger number.
I wanted to help you understand and i hope i did that!
What is the final price of the four-night reservation
representing a better deal?
You are a travel agent. A customer requires a hotel
reservation for four nights. You are considering two
hotels. The first usually charges $168 per night, including
all taxes and fees, but will give a discount of $40 per
night. The second charges $185 per night, including all
taxes and fees, and will offer one night for free.
O $504
O $512
O $555
$580
O $672
Answer:
$512
Step-by-step explanation:
Charges at the first hotel are ...
4(168 -40) = 4(128) = 512
Charges at the second hotel are ...
(4-1)(185) = 3(185) = 555
The first hotel offers the better rate: $512 for four nights.
If you are 14 years old now, which equation could be used to solve for your age, , 22 years from now?
Answer:
14 + 22 = 36
Step-by-step explanation:
well last time i checked the answer is pretty clear
2. Match the graph with its equation.
A. -6x -y= 12
B. 6x+2y=12
C.6x + 6y =12
D. -6x + 2y = 12
Option D is the correct answer
Answer:
It is option D. -6x + 2y = 12
PLS HELP ME!!!!!!!!! I WILL MARK YOU!!!!!
Answer:
7.92
Step-by-step explanation:
Given
c² + 0.1c - 24 ← substitute c = - 5.7 into the expression
= (- 5.7)² + 0.1(- 5.7) - 24
= 32.49 - 0.57 - 24
= 31.92 - 24
= 7.92
What percent of 150 is 52.5?
O 0.35%
O 15%
0 28.6%
O 35%
Answer:
35%
Step-by-step explanation:
.0035*150= .525
.0015*150=.225
.286*150=42.9
.35*150=52.5
The requried percentage of 52.5 in 150 is given as 35%.
What is the percentage?The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.
here,
According to the question,
requried percent of 52.5 in 150,
= value/ whole value × 100%
= 52.5/150 × 100%
= 35%
Thus, the requried percentage of 52.5 in 150 is given as 35%.
Learn more about percentages here:
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-11 2/3 * (-4 1/5)=
Answer:
49Step-by-step explanation:
Simplify:
-11 2/3 * (-4 1/5)= 11 2/3 * 4 1/5 =35/3 * 21/5 = 35/5*21/3 =7*7 =49ortal Login n NoRedink L Amiya Nunn Obi
21 8th Grade Q1 Final Assessment
destion 1
Pause
QZc
Answer:
ask a tutor , they are available
PLEASE FIND THE ANSWER FAST!!!!!!!!!!!!!!
Answer:
P = 2( l + b )
=>130 = 2 (l + 30)
=>130 = 2l + 2*60
=> 130 = 2l + 60
=> 130 - 60 = 2l
=> 70 = 2l
=> 70/2 = l
=> 35 = l
Length = 35cm
Area = l * b
=> A = 35 * 30
=> A = 1050
Therefore area = 1050[tex]cm^{2}[/tex]
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer:
l=35 and A=1050
Step-by-step explanation:
the formula of rectangle to calculation perimeter is p=2(l+b)
130/2=l+b
l=35 and
A=l*b
a= 35*30=1050
7+5+35=?
. 47
.25
.64.
. All of the above
Answer:
It is 47
Step-by-step explanation:
7+5 is 12, 12 plus 35 equaks 47
1. Jasmine drives every morning to her office that is 12 miles from her home
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
PLZZZZZZZZZZZZZZZZ HELP QUICK PLZ
2.Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many minutes does it take her to reach the office
3.Jasmine drives every morning to her office that is 12 miles from her home.
Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation.
4.Jasmine drives every morning to her office that is 12 miles from her home.
* What is Jasmine's driving speed in mph?
Solve the equation you created in part (c) to answer the question.
Answer:
1. Her time in minutes is 720/s minutes
2. Given her time to be 20 minutes, her speed is 36 mph
Step-by-step explanation:
Mathematically,
Distance = speed * time
In this question, we want to calculate time;
So time = distance/speed
times = 12 miles/s mph = 12/s hours
Now we want our answer in minutes
Kindly recall that 60 minutes = 1 hour
So 12/s hours will be 12/s * 60 = 720/s minutes
2. Since she drives from home to the office in in 20 minutes, we want to calculate her speed in mph
From the time calculated above i.e 720/s
We can equate 20 = 720/s
20s = 720
s = 720/20
s = 36 mph
What does X = ?
6 + 0.50x = 26
Answer: x=40
Step-by-step explanation:Let's solve your equation step-by-step.
6+0.5x=26
Step 1: Simplify both sides of the equation.
0.5x+6=26
Step 2: Subtract 6 from both sides.
0.5x+6−6=26−6
0.5x=20
Step 3: Divide both sides by 0.5.
0.5x
0.5
=
20
0.5
x=40
Answer:
x=40
The wavelength of violet light is 4.0 x 10−7 m. The wavelength of red light is 6.5 x 10−7 m. How much longer is the wavelength of red than violet?
The wavelength of violet light is 4.0 x 10−7 m. The wavelength of red light is 6.5 x 10−7 m. How much longer is the wavelength of red than violet?
A
2.5 × 10–7 m
B
1.05 × 10–7 m
C
2.5 × 10–6 m
D
1.05 × 10–6 m
Answer:
A
Step-by-step explanation:
We can substract the wavength of the violet light to the wavelength of the red light:
(6.5 x 10^-7 m) - (4.0 x 10^-7 m) = 2.5 x 10^-7 m
Answer:
A) 2.5× 10–7 m
explanation:
I took the test
What is 3.54 x 102 in standard form?
Find the equation of the line that passes through the points (-4,3) and (10,5). Plug in your slope and y-intercept, or your values for a and b into the equation below (if your answers are not whole numbers leave them as fractions!).
y =_____x+______
Answer:
y = 1/7x + 25/7
Step-by-step explanation:
Find the slope using the formula [ y2-y1/x2-x1 ]
5-3/10-(-4)
2/14
1/7
Find the y-intercept using slope-intercept form [ y = mx + b ], the slope, and one of the points given.
y = 1/7x + b
3 = 1/7(-4) + b
3 = -4/7 + b
3 4/7 = b
Put everything we solved for back into the formula.
y = 1/7x + 25/7
Best of Luck!
- 10x - y = 27
- 4x - y = 9
Find the solution of the system equation.
Step-by-step explanation:
-10x - y = 27 ...1
-4x - y = 9 ...2
...1 - ...2
-10x -y - (-4x - y) = 27 - 9
-10x -y +4x + y = 18
-10x + 4x = 18
-6x = 18
x = 18/(-6)
= -3
Answer:
x = - 3, y = 3
Step-by-step explanation:
Given the 2 equations
- 10x - y = 27 → (1)
- 4x - y = 9 → (2)
Multiplying (1) by - 1 and adding to (2) eliminates the term in y
10x + y = - 27 → (3)
Add (2) and (3) term by term to eliminate y
6x = - 18 ( divide both sides by 6 )
x = - 3
Substitute x = - 3 into either of the 2 equations and solve for y
Substituting into (2)
- 4(- 3) - y = 9
12 - y = 9 ( subtract 12 from both sides )
- y = - 3 ( multiply both sides by - 1 )
y = 3
Solution is x = - 3, y = 3
Maria found th least common multiple of 6 and 15. her work is shown below
multiples of 6:6,12,18,24,30,36,42,48,54,60
multiples of 15: 15,30,45,60
the least common multiple is 60
what is her error?
Answer:
LCM is 30.
Step-by-step explanation:
She forgot that they both can multiply into 30. She listed all their multiples and their LCM is 30. Not 60. That's her error.
Hope this helps and have a nice day!
Which statement describes the transformation that would map figure QRST to figure Q'R'S'T' on the grid above?
(x,y) → (-x,y - 9) is the correct transformation for the given graph so option (A) will be correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the quadrilateral QRST not if we look at Q'R'S'T' it is 9 units downward so it means there will be 9 units decrement in y units.
So y → y - 9
Now,
Q'R'S'T' is as far from the x-axis as QRST but on the negative x-axis.
So,
x → -x
Hence "(x,y) → (-x,y - 9) is the correct transformation for the given graph".
To learn more about the transformation of graphs,
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