A 40 -inch board is to be cut into three pieces so that the second piece is 4 as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
Answer:
4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.
Step-by-step explanation:
x = 20 inch, the length of the first piece
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
given,
Total length = 40 inch
let first piece be = x inch
second piece = 4 times of first piece = 4x inch
third piece = 5 times of first piece = 5x inch
So,
x + 4x + 5x = 200
10x = 200
x = 200/10
x = 20
Therefore, the length of the first piece is 20 inch
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11. Factor for
12 – 8.1 + 16
Answer:
2(6-4.05+8)
Step-by-step explanation:
2(6-48+43.05+8)
Dave owns Dave's Donut Shop and must make decisions about how much to charge for donuts. As a businessowner he wants to attract a lot of customers as well as make a lot of money (revenue). The amount of revenue Dave makes can be modeled by the equation R = (p-1)(200 - 40p), where p represents the price of one donut and R represents the total revenue. Use as many strategies as you can to figure out the questions below. 0 At what price will Dave break even (make no revenue)? How much should Dave charge to maximize his revenue? What is the most money Dave can make? Dave made $100 from donut sales. How much must he have charged per donut?
Answer:
2430
Step-by-step explanation:
The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:
The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.Given that:
[tex]R = (p - 1)(200 - 40p)[/tex]
To calculate the break even, we set R to 0.
So, we have:
[tex](p - 1)(200 - 40p) =0[/tex]
Split
[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]
Solve for p
[tex]p = 1[/tex] or [tex]40p = 200[/tex]
Divide by 40 in the second equation
[tex]p=1[/tex] or [tex]p =5[/tex]
The break even price is at $1 and $5
To maximize his revenue, we have:
[tex]R = (p - 1)(200 - 40p)[/tex]
Open bracket
[tex]R = 200p - 200 - 40p^2 + 40p[/tex]
Rewrite as:
[tex]R = - 40p^2+ 200p + 40p- 200[/tex]
[tex]R = - 40p^2+ 240p- 200[/tex]
Differentiate
[tex]R' = -80p + 240[/tex]
Equate to 0 and solve for p
[tex]-80p + 240=0[/tex]
[tex]-80p =- 240[/tex]
Divide by -80
[tex]p = 3[/tex]
To maximize his revenue, he as to charge $3
The most money he can make is calculated as:
[tex]R = (p - 1)(200 - 40p)[/tex]
Substitute [tex]p = 3[/tex]
[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]
[tex]R = (3 - 1)(200 - 120)[/tex]
[tex]R = 160[/tex]
The most money he can make is $160
The charges he sold when he made $100 is:
[tex]R = - 40p^2+ 240p- 200[/tex]
Substitute 100 for R
[tex]- 40p^2+ 240p- 200=100[/tex]
Collect like terms
[tex]- 40p^2+ 240p- 200-100=0[/tex]
[tex]- 40p^2+ 240p- 300=0[/tex]
Divide through by -20
[tex]2p^2- 12p+ 15=0[/tex]
Using quadratic formula, the solution of p is:
[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]
So, we have:
[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]
[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]
[tex]p = \frac{12 \± 4.90 }{4}[/tex]
Split
[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]
[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]
[tex]p = 4.225\ or\ p = 1.775[/tex]
He charged $4.225 or $1.775 to make $100.
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Pick three numbers to make a fact family when write each fact family
5 7
2 4
Answer: Maybe it is 2,4
Step-by-step explanation:
A fact family is a group of math facts using the same numbers. In the case of addition and subtraction, you use three numbers and get four facts.
For example, you can form a fact family using the three numbers 3, 10, and 13: 10 + 3 = 13, 3 + 10 = 13, 13 − 10 = 3, and 13 − 3 = 10.
Addition facts − Here the sum of two of the three given numbers is the remaining third number. This sum is expressed in two possible orders. Thus, there are two addition facts for any three given numbers
For 3, 10 and 13, the two addition facts are:
3 + 10 = 13;
10 + 3 = 13
Subtraction facts − Here the difference of two of the three given numbers is the remaining third number. There are two such differences. Thus, there are two subtraction facts for any three given numbers.
For 3, 10 and 13, the two subtraction facts are:
13 − 10 = 3;
13 − 3 = 10
We use fact families to reinforce the connection between addition and subtraction, and to help students learn and memorize the basic addition & subtraction facts.
Problem 1:
Make four related number sentences using each set of 3 numbers.
10, 7, 3:
There should be two additions and two subtractions.
Solution
10, 7, 3:
Step 1:
The addition facts using above three numbers are:
7 + 3 = 10;
3 + 7 = 10;
Step 2:
The subtraction facts using above three numbers are:
10 – 7 = 3;
10 – 3 = 7
Problem 2:
Make four related number sentences using each set of 3 numbers.
13, 8, 5
There should be two additions and two subtractions.
Solution
13, 8, 5
Step 1:
The addition facts using above three numbers are:
5 + 8 = 13;
8 + 5 = 13;
Step 2:
The subtraction facts using above three numbers are:
13 – 5 = 8;
13 − 8 = 5
Find the difference in lowest term 7/18 - 3/18
Answer:
2/9
Step-by-step explanation:
4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9
Hope that helps and have a great day!
g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.
Answer:
Main difference between circle & ellipse
Step-by-step explanation:
Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel
Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets
Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question
Explanation:
Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not have major and minor axis length both are different.Thus we conclude that cricle is totally different from ellipse
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15 POINTS!!!
Based on a life insurance company's past data, each year an average of 1/90 policy holders
make a claim of $250; 1/100 policy holders make a claim of $12,000, and 1/400 make a claim
of $17,000. What would the insurance company have to charge per policyholder to break
even?
Answer:
1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.
2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
3. The expected profit on 375 policies would be 375 * 185 = $69375
Step-by-step explanation:
how do you solve 1/2x=6
Answer:
x=12
Step-by-step explanation:
multiply 2 from both sides to isolate x
then u should end up with 1x=12
Please Assist!
What is the answer to this question???
Answer:
[tex](-5,\frac{1}{2} )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
R(-2, 3)
S(-8, -2)
[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]
[tex](\frac{-10}{2},\frac{1}{2} )[/tex]
[tex](-5,\frac{1}{2} )[/tex]
can you please help me
Answer:
14
Step-by-step explanation:
because they are just reflected that's why 12 and 8 are flipped and have a great day
|2x+5|-4=16 find both answers
Answer:
x=7.5 and x=-12.5
Step-by-step explanation:
|2x+5|-4=16
|2x+5|=20
2x+5=20
2x=15
x=7.5
2x+5=-20
2x=-25
x=-12.5
True or false? The value zc is a value from the standard normal distribution such that P(−zc < z < zc) = c.
Answer:
False
Step-by-step explanation:
The standard normal distribution is represented by P(-zc < z < zc) = c
From this, you see that -zc is less than the variable of interest z and z is less than zc.
The equation simply means that the probability that -zc is less than z and z is less than zc, is c.
The value zc is NOT a value from the above distribution. All values in the distribution are of the variable z. For example, z might be equal to 1, z might be equal to 6, but the variable of interest in the distribution is z, not zc.
I have 47 red marbles and 76 blue marbles estimate the total number of marbles I have
Answer:
about 130 marbles
Step-by-step explanation:
round 47 to 50
round 76 to 80
you have about 130 marbles
Answer:
About 100.
Step-by-step explanation:
47+76=123
123 is closer to 100 than to 200.
A baseball organization has 209 players. It wants to buy sweatshirts or jackets for players’ warmups.
Warm-up Type Price
Sweatshirt $38
Jacket $50
What is the difference in the total price of the sweatshirts and the jackets for all 209 players?
Enter your answer in the box.
Answer:
The answer is 2508
Step-by-step explanation:
If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?
A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c
Answer:
I'm nauseous, I'm dyin'
(She ripped my heart right out)
Can't find her, someone to
(My eyes are all cried out)
Lost it, riots
Gunfire inside my head, I've
Lost it, riots
Gunfire inside my head 78tt566786876
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just took this test
Chantel graphs S and T. The corresponding angles are congruent. The side lengths of T are 5 times as long as the corresponding side lengths of S. Can you give a sequence of transformations that will map S onto T?
Answer:
Turn it by 90 degrees
Step-by-step explanation:
Question is too vague sorry if this doesn't help
Answer:
fernanda i have no idea how to do this
Step-by-step explanation:
Jennifer bought an umbrella on a business trip. The umbrella is 29 inches long.
The length of the sides of the box is 18 Inches.
The length of the top and bottom of the box is 24 Inches.
Jennifer thinks she can bring the umbrella home in her suitcase.
Is she correct?
Explain using your understanding of the Pythagorean Theorem to answer.
Use the dimensions provided in your explanation.
Answer:
Answer 30^{2}
Step-by-step explanation:
24^{2} + 18^ {2} = c^{2}
576 + 324 = c^{2}
\sqrt{900} c^{2} = 30
hope this helps!
8. Round to the nearest hundredth: 433.680
Answer:
433.68
Step-by-step explanation:
Answer:
433.68
Good Luck!!!
how many students have used all three modes of transportation? solution please
Complete question is;
In a class of 40 students, 17 have ridden an airplane, 28 have ridden boat, 10 have ridden a train, 12 have ridden an airplane and a boat, 3 have ridden a train only, and 4 have ridden airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have used all three modes of transportation?
Answer:
4 students
Step-by-step explanation:
Let the number of students who used airplane be A
Let the number of students who used boat be B
Let the number of students who used train be C
Now, we are told that 17 rode plane.
Thus; A = 17
28 rode boat; B = 28
10 rode train; C = 10
12 rode airplane and boat; A ∩ B = 12
4 rode plane only; A' = 4
3 rode boat only; C' = 3
Total number of students; T = 40
Now, total number of students is represented by;
T = A - B - C - (A ∩ B) - (B ∩ C) - (C ∩ A) + (A ∩ B ∩ C)
We don't have (B ∩ C) and (C ∩ A).
Now, the can be derived from the expression of C' which is;
C' = C - (B ∩ C) - (C ∩ A)
C' = C - [(B ∩ C) + (C ∩ A)]
We are given C' = 3 and C = 10
Thus;
3 = 10 - [(B ∩ C) + (C ∩ A)]
10 - 3 = [(B ∩ C) + (C ∩ A)]
7 = [(B ∩ C) + (C ∩ A)]
Rearranging the total number of students equation, we now have;
T = A - B - C - (A ∩ B) - [(B ∩ C) + (C ∩ A)] + (A ∩ B ∩ C)
Where;
(A ∩ B ∩ C) is the number of students that used all three modes of transportation.
Thus, plugging in the relevant values;
40 = 17 + 28 + 10 - 12 - 7 + (A ∩ B ∩ C)
40 = 36 + (A ∩ B ∩ C)
(A ∩ B ∩ C) = 40 - 36
(A ∩ B ∩ C) = 4
Evaluate each expression.
b)
d)
169 cm2:13x13=169 13cm by cm
2500 cm2:50x50=2500 50cm by cm
/8
a) 2 + (10 − 3) =2+(10-3)
c)
(4 + 3)2 − (3 − 1)3 =
= 2+(7)=10
=
=
11.
b) (3 + 5) × 6 ÷ 3 + (8 + 52)
d)
18 + (4 + 5)2 × 2
=
=(7)x6/3+(177)
=
=(42/30
=
=
=
=
=
Answer:
atleast 1
Step-by-step explanation:
An ordered pair that satisfies all the equations in a linear system of equations is called a(n) __________ of the linear system.
Answer:solution
Step-by-step explanation:
An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.
A linear function is a function that has a positive relationship between its variables.
Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.
Mathematically, the graph of a linear function is a straight-line and its slope is always constant.
On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.
Generally, a system of linear equations in two variables must have at least two solution.
In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.
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Joe and Ben are saving money for a new x-box game. Joe has saved $15.00 in 2 weeks and $37.50 in 5 weeks. Ben's savings are represented by the equation
y=8.25x
y=8.25x
.
Find the difference in their savings each week?
Answer:
37.50/5 = $7.50/week
so the difference is 8.25-7.50 = $0.75/week
Step-by-step explanation:
Which of the following polynomial functions is graphed below?
A. f(x) = (x - 5)(x - 1)^2(x - 1)
B. f(x) = (x - 4)(x - 2)^2(x - 3)
C. f(x) = (x + 5)(x + 1)^2(x - 1)
D. f(x) = (x+4)(x-2)^2(x+3)
Answer:
correct answer is D
Step-by-step explanation:
just did it on apex
The polynomial functions is graphed below is f(x) = (x+4)(x-2)²(x+3).
What is a Polynomial Function ?A polynomial function is a function in an equation that contains only positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.
It is given that for the given graph plotted in the image , a correct polynomial function has to be determined .
When all the graphs are plotted for all the equations given in the options.
It can be seen that the equation in The Option D satisfies the image.
f(x) = (x+4)(x-2)²(x+3)
The image of the graph for the equation is attached.
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The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}
Answer:
Yes
Step-by-step explanation:
The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.
Hope this helps. Please mark brainliest.
list four advantages and disadvantages of measures of location
Step-by-step explanation:
Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.
Match the functions f(x, y, z) with the description of their gradients. No reasons needed.
(a) x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(b) x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(c) 1/x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(d) 1/x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
Answer:
1. C points radially outward from origin
2. A. Points radially outward from z origin
3. D. Radially inwards toward origin
4. B. Inwards towards the z axis
Step-by-step explanation:
1.
X²+y²+z² = f(x,y,z)
Vector P<x,y,z>
2<x,y,z> = 2p
The answer is c points radially outward from origin
2.
X²+y² = f(x,y)
<2x,2y,0>
Points radially outward from z axis
3.
D. Points radially inwards toward origin
4.
B. Points radially inwards toward the z axis.
Please check attachment for solutions to answers 3 and 4
Write the equation of the line that passes through the points (-2, -3)
and (-8,3). Put your answer in fully reduced point-slope form, unless
it is a vertical or horizontal line.
Answer:
[tex]\huge\boxed{y+3=-(x+2)}\\or\\\boxed{y-3=-(x+8)}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the given point:
(-2, -3); (-8, 3)
[tex]m=\dfrac{3-(-3)}{-8-(-2)}=\dfrac{3+3}{-8+2}=\dfrac{6}{-6}=-1\\\\\text{for}\ (-2;\ -3)\\\\y-(-3)=-1(x-(-2))\\\\y+3=-(x+2)\\\\\text{for}\ (-8;\ 3)\\\\y-3=-1(x-(-8)\\\\y-3=-(x+8)[/tex]
is 1.5 less than 1.25
Answer:
1.5 > 1.25
Step-by-step explanation:
1.5 is smaller than 1.25
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Answer:
76.95
Step-by-step explanation:
9.5X8/1(8.1 IS THE NUMBER YOU MULTIPLY IT BY)=76.95
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83¯ hour.
Who runs faster? Use the drop-down menu to show your answer.
Answer:
Ava
Step-by-step explanation:
because we multiply by 3 miles, 50 minutes, 0.83
and you get 124.5
its not maura because if you multiply 5 miles, by 1.25 hours you get 6.25
sorry if wrong! hope this helps!