Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.
From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.
Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:
= 2/7 × 1/8.
= 2/56
= 1/28
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Write an integer to represent each situation
1. walking to the track 6 feet ______
2. digging 10 holes a day _____
3. writing 5 papers ______
Find the absolute value
1. /-3/3 2. /+3/3 3. /-2/
4. /-6/ 5. /+9/ 6. /-15/
7. /=32/ 8. /+32/ 9. /-47/
10. /+78/
Answer:
1. 6 2. 10 3. 5
for others see below
Step-by-step explanation:
1. 6 feet
2. 10 holes
3. 5 papers
1./-3/3=3*3=9
2. /3/3=3*3=9
3./-2/=2
4./-6/=6
5./9/=9
6. /-15/=15
7. /-32/=32
8. /32/=32
9. /-47/=47
10. /78/=78
Find Y if f(x)=g(x),please help me to answer this problem.
If f(x) = g(x)
Then :
(x-4)/(x²+1) = (x² - 4) / (x²+ 1)
We can simplify on both sides by x² + 1 :
x - 4 = x² - 4
x = x²
x - x² = 0
x(1-x) = 0
So either x = 0, or x = 1
S = {0,1}
Good Luck
Answer:
Step-by-step explanation:
( x , y )
( 0 , - 4 )
( 1 , - 1.5 )
[tex]y_{1}[/tex] = - 4
[tex]y_{2}[/tex] = - 1.5
Solve the equation for y. 5x+2Y=9
Answer:
y = 9/2 - 5/2(x)
Step-by-step explanation:
I think this is right
M<1=m<5 true or false
Answer:
True
Step-by-step explanation:
Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5
Select the Ordered Pair which is a solution to the linear graph.
(8, 6)
(−8,−6)
(−8, 6)
Review the linear graph.
Answer:
point B (8, 6)
Step-by-step explanation:
Given the linear graph of a vertical line, x = 8:
The solution to the given linear equation is any ordered pair that is found along the line of the graph.
Out of the given options, point B, (8, 6) is located on the line. Therefore, it is one of the solutions to the linear equation, x = 8.
A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.
Answer:
N 2.4 ∘ W or Bearing 357.6 ∘
672.2x km/hr
Step-by-step explanation:
solve the following pair of equations graphically and verify them: 3x+y=7 x≃2y please help me
Answer:
(2, 1)
Step-by-step explanation:
graph 3x+y=7 and x=2y
make both slope intercept form for easier graphing
y=-3x+7
2y=x, y=1/2x
(2, 1)
check
3*2+1=7
6+1=7
7=7
1=1/2*2
1=1
I=PRT used to calculate interest earned. How do I solve for T?
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Answer:
T = I/(PR)
Step-by-step explanation:
Solve for T the same way you solve for the variable in any proportion: divide both sides of the equation by its coefficient.
I = PRT
I/(PR) = PRT/(PR)
I/(PR) = T
_____
Additional comment
Please note that parentheses are required around the factors of the denominator when you write this in plain text.
I/PR ≠ I/(PR)
I/PR = (I/P)R . . . . . the order of operations requires the division occur before the multiplication
If you write this by hand, or in typeset form, the horizontal fraction bar serves to group the factors of the denominator:
[tex]T=\dfrac{I}{PR}[/tex]
Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shirt out of the closet?
Answer:
1/3 or 33.33 %
Step-by-step explanation:
this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%
Answer:
likely
If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely
STRUCTURE Tell whether the triangles are similar.
Answer:
If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.
Have a nice day and I hope this helps!
Write an equation of the line that passes through the given points (1, -6) and (1, 2).
Answer:
Step-by-step explanation:
Complete the table of values for this equation: y = 3x +10 Enter your answer by filling in the boxes. x y 4 5 6
x=4,5,6
x=4
[tex]\\ \sf\longmapsto y=3(4)+10[/tex]
[tex]\\ \sf\longmapsto y=12+10=22[/tex]
x=5
[tex]\\ \sf\longmapsto y=3(5)+10=15+10=25[/tex]
x=6
[tex]\\ \sf\longmapsto y=3(6)+10=18+10=28[/tex]
Step-by-step explanation:
y = 3x + 10
x = 4, 5, 6Soo :
y = 3(4) + 10 = 12 + 10 = 22
y = 3(5) + 10 = 15 + 10 = 25
y = 3(6) + 10 = 18 + 10 = 28
A man is walking at 7km/hr. How long will he take to cover a distance of 42km?
[tex] \: \: \: \: \: \: [/tex]
1.75hrsStep-by-step explanation:
it would take 1.75 hrs to cover a distance of 7 kilometres by walking 4 kilometres per hourspeed= Distance/Time
= 4/1 = 4Time Distance/Speed
= 7/4 =1.75hrs.hope it helps[tex] \: \: \: \: \: \: [/tex]
calculate the length AB
Check the picture below.
2.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = 4x2 + 2x − 4
C. y = −4x2 − 2x − 4
D. y = −2x2 + 2x − 4
Answer:
It's C.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just put the x and y values into the equations and see which equation stays true.
for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).
so, when using this point in B :
68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68
correct.
and it is correct also for the other points.
so, B is the right answer.
guys help
Evaluate the numerical expression.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
= (25)2 × 100 ÷ 23 + [24 ÷ 8]
= 25 × 2 × 100/23 + 3
= 5000/23 + 3
= 5000+69/23
= 5069/23
= 220 9/23
no link or bot q bpe
Answer:
(3,7)
Step-by-step explanation:
n will be located in x positive , y positive
1/2(-4+6x)=1/3x+2/3(x+9)
Answer:
X=4
Step-by-step explanation:
1. Simplify the expression
2. Multiply the fractions:
3. Break up the fraction:
4. Find the greatest common factor of the numerator and denominator:
5. Factor out and cancel the greatest common factor:
6. Simplify the fraction:
7. Multiply the fractions:
8.Solve by distributing:
9. Simplify the arithmetic:
10.Break up the fraction:
11. Find the greatest common factor of the numerator and denominator:
12. Factor out and cancel the greatest common factor:
13.Combine the fractions:
14. Combine the numerators
15. Find the greatest common factor of the numerator and denominator:
16. Factor out and cancel the greatest common factor:
17. Simplify the right side:
9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)
Step-by-step explanation:
gjr jrijtigjtitrg rkgtrigjkjgkfrijr l
Solve for x and thank you
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Answer:
x = 57.6
Step-by-step explanation:
The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.
x = 1.2 × 48 = 57.6
_____
Additional comment
Parallel lines cut transversals proportionally. That is why 30/25 = x/48.
Solve for r.
4r–3r=20
r=
Answer:
20
Step-by-step explanation:
4r - 3r = 20
r = 20
There you go.
Answer:
r = 20
Step-by-step explanation:
Let's solve your equation step-by-step.
4r − 3r = 20
Step 1: Simplify both sides of the equation.
4r − 3r =20
4r + −3r =20
(4r + −3r) =20 (Combine Like Terms)
r = 20
Hope this helps
Please answer. Geometry problem. Unit: Degrees
Answer:
17
Step-by-step explanation:
∠C is common in both triangles
equate them
∠C = 180- (x + 100) = 180 - ( 4x + 49)
x + 100 = 4x + 49
100 - 49 = 3x
51 = 3x
x = 51/3 = 17
P= $43,024, r= 0.0875 ? Per day , t= 90 days
Answer:
How many minutes in total did Mason spend practicing and studying? ... P= $43,024, r= 0.0875 ? Per day , t= 90 days.
Step-by-step explanation:
A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:
Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this
There are 150 buttons in a box.
24 children take 3 buttons each.
How many buttons are left in the box?
Show your method.
Answer:
78 buttons left
Step-by-step explanation:
I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.
Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)
What is the sum of the two expressions? (3/7x+4)+(1/7x-2)
Combine the like terms:
3/7x + 1/7x = 4/7x
4 + -2 = 4-2 = 2
Answer: 4/7x + 2
8.
Identify the point corresponding to Q.
A. Q′ (−4, 1)
B. Q′ (−1, −4)
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Answer:
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.
State of Water Temperature (°F)
Freezing Point 32
Boiling Point 212
Find the freezing point and boiling point of water in degrees Celsius.
a. freezing point:
°C
b. boiling point:
°C
The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.
Answer:
Both of the freezing points would be °C
A particular type of fuel tank produced for a particular car model is designed to hold 30
liters. However, the actual capacity of a randomly chosen tank of this type is normally
distributed with mean 30 liters and standard deviation 0.5 liters. Suppose that of the cars
of the above model, 50 percent run 14.5km per liter, 30 percent run 14km per liter and 20
percent run 13.5km per liter under test condition.
i. If you buy a car of the above model, what is the probability that your car will run
more than 420km under test conditions, when tank is filled once?
ii. If a randomly selected car of the above model runs maximum distance of 420km
under test conditions, when the tank is filled once, what is the probability that this
car runs 14.5km per liter?
Answer:
23
Step-by-step explanation:
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It is 30 miles into the town. Use the formula to work out how many km this is
Answer:
30*1.609=48.27
Hope This Helps!!!