5
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Total books borrowed = 8+4 = 12
No. of non - fiction books = 7
No. of fiction books = 12 -7
= 5
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245 fraction is 7 50 time 128 frction is 53 100
Answer: 116 61/100 miles
Step-by-step explanation: Road trip is 245 7/50 miles long
They have already driven 128 53/100
Those are mixed fraction. To facilitate the calculation, we should transform them into improper fractions (numerator > denominator)
245 7/50 = (50*245+7)/50 = 12257/50
128 53/100 = 12853/100
To find out much farther they have to drive, we need to subtract how much they have already driven to the total lenght of the trip:
12257 - 12853 = 24514 - 12853 = 11661
50 100 100 100
They still have 11661/100 to drive. In mixed fraction:
116 61/100 miles
For every 12 games Purdue wins in football, IU only wins 5. If Purdue wins 36 games, how many will IU win?
Answer:
15
Step-by-step explanation:
Purdue : IU
12 : 5
36 : x
cross multiply
36*5 = 12x
180 = 12x
180/12 = x
x = 15
Answer:
36/12= 3 so 5*3 would give you 15
Which polynomial does not have an absolute maximum?
A. 2nd degree
B. 3rd degree
C. 4th degree
Reason:
Odd degree polynomials do not have an absolute max nor absolute min. The curve stretches forever upward and downward. The range is the set of all real numbers.
Even degree polynomials on the other hand do have a highest point or lowest point, depending on the leading coefficient. If the leading coefficient is negative, then the curve has a highest point. If the leading coefficient is positive, then the curve has a lowest point.
Example: y = x^3 does not have an absolute max, but y = -x^2 does.
The denominator in the earnings per share formula is? a.preferred dividends. b.net income. c.number of preferred shared outstanding. d.number of common shares outstanding.
The denominator in the earnings per share formula is number of common shares outstanding.
What is the denominator used in the computation of earnings per share?
The weighted average of the outstanding shares of common stock serves as the numerator of the earnings per share. The "per share" part necessitates further computation when the number of common shares changes in the middle of the year. The weighting of the per share part depends on how long each share number has been in circulation.How are basic earnings per share determined?
Basic EPS is calculated by dividing net income by the weighted average of the common shares outstanding for the relevant period. Preferred dividends should be removed from the net income because they are not available to common stockholders. Net income can also be broken down into "continuing operations" P&L and "total P&L".Learn more about Basic EPS
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The velocity (v metres per second) of a body is known to be proportional to the square root of its kinetic energy (e joules). When the velocity of a body is 120 m/s, its kinetic energy is 1600 J.
a) Write down a relationship between v and e, using k as the constant of proportionality.
b) Calculate the value of k.
c) If v = 21, calculate the kinetic energy of the body in joules.
Answer: Find step-by-step Probability solutions and your answer to the following textbook question: The velocity (v metres per second) of a body is known to be proportional to the square root of its kinetic energy (e j.) I don't know if this will help
Step-by-step explanation:
through: (1, −5), parallel to` y = −8x +4
Answer: y=-8x+3
Step-by-step explanation:
Parallel lines have the same slope.
y=-8x+b
-5=-8(1)+b
-5=-8+b
b=3
y=-8x+3
3z^2 -4z+10 3z 2 −4z+10
Answer:
106z2−8z+10Step-by-step explanation:
3z2 − 4z + 103z2 −4z + 10
3z2 + − 4z+ 103z2 +− 4z + 10
Combine Like Terms:3z2 +− 4z+ 103z2 + − 4z + 10
( 3z2 + 103z2 ) + ( −4z+−4z ) + ( 10 )
106z2 + − 8z + 10
Which of these choices are square roots of 100? chewhich of these choices are square roots of 100? check all that apply. ck all that apply. 100^1/2 10 -10 50 -50 -100^1/2 pleaseeeee
Solve the equation 7x = 91 for x.
Answer:
x = 13
Step-by-step explanation:
7x/7 = 91/7
cancel the common factor of 7
cancel the common factor
7x/7 = 91/7
divide x by 1
x = 91/7
simplify the right side
divide 91 by 7
x = 13
Write the inequality that represents the sentence, "Five less than a number is greater than 57."
Choose the correct answer below.
x-5>57
x-5257
x+5257
x+5> 57
.***
Answer:
Option A, or x-5>57
Step-by-step explanation:
What is the domain and range of this picture?
Find each product mentally using the Distributive Property. Show the steps that you used. For 6x13 in distributive property
Using Distributive Property, the product of 6x13 is 78.
What is Distributive property?
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
The steps of distributive property are -
6 × 13
6 × (10 + 3)
(6 × 10) + (6 × 3)
((3 + 3) × (5 +5)) + ((3 + 3) × 3)
(3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))
(15 + 15 +15 + 15 ) + (9 + 9)
60 + 18
= 78
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1. Latoya earns $1.75 an hour for each child she baby-sits. How much does she earn if she baby- sits 3 children for 4 hours?
2. James works at a department store and receives a 25% discount on his purchases. He purchases some new clothes at the store and his total before the discount is $145.20. What is James's total after the discount?
3. Kegan borrows $78 from his sister. He will pay her back over a 4-week period. If he pays the same amount each week, how much will he have paid back after the third week?
4. Ashley stops by the grocery to pick up a few items. She buys a loaf of bread for $1.09, a pound of turkey for $4.59, 2 cans of soup for $0.79 each, and 4 oranges for $0.27 each. How much money does Ashley spend at the grocery?
5. Jackie buys a one-way ticket to Nevada and a one-way ticket back home. Each way costs $118. Joe buys a round-trip ticket to Nevada for $227. Whose ticket is less? By how much?
Cost price is also known as CP. cost price is the original price of an item. The cost is the total outlay required to produce a product or carry out a service. Cost price is used in establishing profitability in the following ways: Selling price (excluding tax) less cost results in the profit in money terms.
A "selling price" is the price that the seller gives. something that he/she wants or is offering to sell. The item has not been sold. yet. A "sale price" could be the price that was actually paid by a buyer
1.
she earns if she babysits 3 children for 4 hours= $63.
solution :
Given :
Latoya earns $1.75 an hour for each child she babysits
Total Number of babysitting hours for 3 child= 3x12=36 hours
let,
Total amount earned by Latoya: S
S= 36x1.75
S= $63
she earns if she babysits 3 children for 4 hours= $63.
2.
James's total after the discount = $108.75
Given :
his total before the discount is $145.20
receives a 25% discount on his purchases
Solution :
Buy price = MRP X DISCOUNT /100
Let the Buying price is c
c = 145x25/100
c = 145/4
c= $ 36.25
= MRP - DISCOUNT
Let James's total after the discount = p
p= 145-36.25
p= $108.75
3.
paid back after the third week= 19.5
Given :
Kegan borrows $78 from his sister.
Time = 4 week
each week Payment = 78/4=19.5
paid back after the third week= 19.5
4.
Ashley spends at the grocery= $8.34
Solution :
a loaf of bread = $1.09,
a pound of turkey = $4.59,
2 cans of soup =2x$0.79 each=$ 1.58
4 oranges = $0.27 x4= $1.08
Ashley spend at the grocery= 1.09 + $4.59, +$ 1.58+ $1.08 =$ 8.34
Ashley spends at the grocery= $8.34
5.
joe ticket is less Jackie's by 236-227= $9
Solution :
Jackie buys a one-way ticket to Nevada=$118
a one-way ticket back home=$118
Total = $118x2 =$236
But
Joe buys a round-trip ticket to Nevada for $227
joe ticket is less Jackie's by 236-227= $9
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Suppose point j is the midpoint of segment lm where j(5, -1) and m(0, 6). what are the coordinates of end point l?
If the midpoint of segment lm where j(5, -1) and m(0, 6), then the coordinates of end point l is (10,-8)..
Midpoint:
Midpoint of a line segment is the point that is halfway between the endpoints of the line segment.
The formula for the midpoint is,
[tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
where,
[tex](x_m,y_m)[/tex] = coordinates of the midpoint
(x₁, y₁) = coordinates of the first point
(x₂, y₂) = coordinates of the second point
Given,
Midpoint = j = (5,-1)
Second point = m = (0,6)
Now, we have to find the first midpoint l.
Let (x,y) be the coordinates of l.
Then apply the values on the formula,
Then we get,
[tex](5,-1)=(\frac{x+0}{2},\frac{y+6}{2})[/tex]
Compare the values in order to find the coordinates,
=> 5 = (x + 0) / 2
=> 5 x 2 = x + 0
=> 10 = x
Similarly,
=> -1 = (y + 6) / 2
=> -1 x 2 = y + 6
=> -2 = y + 6
=> -2 - 6 = y
=> y = -8
Therefore, the coordinates of l is (10,-8).
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solve each inequality
||x-4|-7|<5
The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).
How to find the solution set of an inequalityHerein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:
|x - a| = x - a for x ≥ a|x - a| = - x + a for x < aNow we proceed to solve the inequality given:
||x - 4| - 7| < 5
- 5 < |x - 4| - 7 < 5
0 < |x - 4| - 2 < 10
|x - 4| - 2 > 0 and |x - 4| - 2 < 10
Case 1: |x - 4| - 2 > 0
|x - 4| > 2
x - 4 > 2 and x - 4 < - 2
x > 6 and x < 2
Case 2: |x - 4| - 2 < 10
|x - 4| < 12
x - 4 < 12 and x - 4 > - 12
x < 16 and x > - 8
The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).
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express
the speed
10m
per second as
km per hour
10 m/s can be expressed as 36km/h.
Here, we are given an expression for speed, that is: 10 meter per second.
Now, as per the rules of mathematics,
1 kilometer = 1000 meters
⇒ 1 meter = 1/1000 kilometers
or 1 meter = 0.001 kilometers
and also, 1 hour = 60 mins
and 1 min = 60 seconds
⇒ 60 mins = 60 × 60 seconds
= 3600 seconds
Thus, 1 hour = 60 mins = 3600 seconds
⇒ 1 second = 1/3600 hours
Now, we need to convert meter per second into kilometer per hour,
1 meter/ 1 second = [tex]\frac{0.001}{\frac{1}{3600} }[/tex]
= (0.001 × 3600)/ 1
= 3.6
This 1 meter per second = 3.6 kilometer per hour
⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour
Thus, 10 m/s is 36km/h.
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Lesson Performance Task
The sun is an excellent source of electrical energy. A field
of solar panels yields 16.22 Watts per square feet. Determine
the amount of electricity produced by a field of solar panels
that is 305 feet by 620 feet.
Answer:
electricity produced will be 3067202 watt
Step-by-step explanation:
solar panels yields 16.22 Watts per square feet
area of field= 305*620 [area=length*breath]
=189100
electricity produced will be
189100*16.22
=3067202 watt
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A rectangle garden has a length of 5 less than 2 times the width. the perimeter if 50 meters. what are the side lengths?
The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.
Perimeter of the rectangle:
Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.
The formula for perimeter of the rectangle is,
P = 2 (a + b) units
where
“a” is the length of the rectangle
“b” is the breadth of the rectangle
Given,
A rectangle garden has a length of 5 less than 2 times the width.
The perimeter if 50 meters.
Here we need to find the side lengths of the rectangle garden.
Let w be the width of the garden.
According to the given details, the length is
l =2w - 5
Now apply the values on the perimeter formula,
Then
=> 2 ((2w - 5) + w) = 50
=> 2 (3w - 5) = 50
=> 3w - 5 = 25
=> 3w = 30
=> w = 10 meters.
Apply the value of width on the equation to find the length of the garden.
=> l = (2 x 10) -5
=> l = 20 - 5
=> l = 15 meters.
Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.
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Seventh grade > Z.2 Scale drawings: word problems 84H
Carmen drew a scale drawing of a house and its lot. In real life, the lawn in the backyard is
72 meters long. It is 24 millimeters long in the drawing. What is the scale of the drawing?
1 millimeter :
Submit
You've won a new
meters
Tutorial
Qu
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00
The scale of the drawing is in the ratio of 1 millimeter : 3 meter
In this, we need to find the ratio that is 1millimeter:x meter where x is the original scaling of the plot.
We have been given that
24 millimeters = 72 meters
Now we have to find how many meters is equal to 1 millimeter which will find out by the unitary method.
Thus, 24 millimeters = 72 meters
1 millimeter = 72/24 meter
1 millimeter = 3 meter
Hence the scale of the drawing is 1 millimeter : 3 meter
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Parallelogram be is a scaled copy of parallelogram U what is the value of w ( please answer ASAP I'm in a rush)
A scaled-down version of parallelogram is parallelogram be. What does w equal for U
X has a value of 4.
Line BC and line AD are parallel in the picture that was submitted, and segment 15 is the midpoint.
The Midsegment TrapezoidTheorem states that a line going through the midpoint of a trapezoid leg, parallel to both bases, will also go through the midpoint of the other leg
The formula for calculating a trapezoid's midsegment is as follows:
As a result, x has a value of 4.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
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X-6
=
Solve:
4(x-8) = 28
Answer: 34
Step-by-step explanation:
if 3^n is a factor of 100!, what is the largest possible value of n
The largest possible value of n is approximately equal to 331.
What is the largest possible value of the integer n behind a power equation?
In this problem we find a factorial number as the result of a power with a base of 3. First, we need to estimate the maximum possible value of n (as a real number) by using logarithm properties:
3ⁿ = 100!
3ⁿ = 1 · 2 · 3 · ... · 99 · 100
㏒₃ 3ⁿ = ㏒₃ (1 · 2 · 3 · ... · 99 · 100)
n · ㏒₃ 3 = ㏒₃ 1 + ㏒₃ 2 + ㏒₃ 3 + ... + ㏒₃ 99 + ㏒₃ 100
n ≈ 331.090
Second, find the maximum possible integer n related to 100! is found by truncating the result found in the previous section. Hence, the largest possible value of n is approximately equal to 331.
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The pressure, p (in lbs/ft2 ), in a pipe varies over time. five times an hour, the pressure oscillates from a low of 90 to a high of 230 and then back to a low 90. the pressure at t = 0 is 90.
The value of P(t) is p(t) = -70 cos(10xπ t) + 165.
What is pressure?Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).
range of pressure = low of 90 to a high of 230
As, Pressure oscillating ten times every hour. So period n = .0.2 min.
Now, P = f(t) = Acos(Bt) + D
Amplitude = (HP - LP / 2
= (230- 90) / 2
= 140/ 2
= 70
Period B = 2xpi / 0.2 = 10xπ
and, D= (Ph + Pl) / 2
= (230+ 90) / 2
= 330/ 2
= 165
Hence, p(t) = -70 cos(10xπ t) + 165.
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please help my brother his having little problem here
Thank u so much
64°
Step-by-step explanation:
Let the missing angle be x.
Sum of angle of a triangle=180°
Therefore,
48°+68°+x=180°
x=180°-116°
x=64°
In a population of 200 mice brown fur is dominant to gray fur. of 120 of the 200 mice have brown fur, what is the frequenzy?
The frequency of mice that are heterozygote is 0.3492
It is required to find the frequency.
What is frequency?The number of waves that pass a fixed point in unit time being, measured in hertz(Hz).The number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
Given:
Population =200 mice
Gray fur mice= 120 mice
By the use of Hardy-Weinberg equation we have,
Hardy-Weinberg equation is given by
p² + 2pq + q² = 1 and p + q = 1
where, 2pq is the heterozygote frequency.
p² = 120/200
p = 0.7746
p + q = 1
q = 0.2254
Heterozygote frequency = 2pq = 2(0.2254)(0.7746) = 0.3492
Therefore, the frequency of mice that are heterozygote is 0.3492.
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Is the sum of –8 + 3 negative? How do you know?
Answer:
The sum is negative because the number with the greatest value is negative.
Step-by-step explanation:
If the it's the same sign add, if not subtract.
8-3=5
keep the sign of the bigger number.
-5
Hope It Helps
Sorry If I'm Wrong
Answer: Yes
Step-by-step explanation:
The answer is negative. That is because you are adding three to negative 8.
Think about it. 8 is greater than three, right?
-8 + 3 = -5
You are bringing -8 closer to 0:
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...
Bring -8 three spaces closer to 0. You get -5.
Hope this helps.
In the figure below, m1= 35° and m/2 = 27°.
Find mTSW.
62°
A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"
∠1+∠2 = 35° +27°
=62°
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-5,5 postać ułamka zwykłego -4,8 postać ułamka zwykłego pomocy
Answer:
[tex]-5.5 = \frac{-11}{2}[/tex]
[tex]-4.8 = \frac{-24}{5}[/tex]
Step-by-step explanation:
Postać ułamka zwykłego oznacza postać [tex]\frac{licznik}{mianownik}[/tex].
Zaczynamy od zauważenia, że [tex]-5.5 = -55/10 = -\frac{55}{10} = -\frac{11}{2} = \frac{-11}{2}[/tex]
-4.8 robimy analogicznie, tylko skracamy przez 2 a nie przez 5.
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Ms. longora has two bags of wid- bird seed. the first bag has 20 ounces of wild- bird sod, and the second bag has 3; times as much wid-bird seed as the first. ms. longoria uses ; of the wild-bird seed from the larger bag to feed the birds in her backyard. how many ounces of wild-bird seed did she use?
Answer:
2
Step-by-step explanation:
what property is illustrated by the statement 2/3 x 3/2 =1
Answer:
Multiplicative inverse or reciprocal.
Step-by-step explanation:
Multiplicative inverse or reciprocal.
