Answer:
41
Step-by-step explanation:
A pair of consecutive numbers is written as: N and N + 1
(where the larger page number is N + 1)
And we know that the product of these numbers is 1640.
Then:
(N)*(N + 1) = 1640
Solving for N, we get:
N^2 + N = 1640
N^2 + N - 1640 = 0
This is a quadratic equation, remember that for a general quadratic equation:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
In our case, the solutions are:
[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]
Then the two solutions are:
N = (-1 + 81)/2 = 40
N = (-1 - 81)/2 = -41
Because N represents the number on a page, it only can be a positive value, then we take the positive solution.
Then the two consecutive numbers, N and N + 1
are:
N = 40
N + 1 = 41
The value of the larger page number is 41.
Please solve the equation
Answer: x=15/2
Step-by-step explanation: Divide both sides by 4 so 64/4 Simplify 64/4 to 16. 2x=16−1 2x=15 Divide both sides by 2 x=
15/2
HOPED THIS HELPED :))
The ratio of the number of chickens to the number ducks is 7:2. The ratio of the number of ducks to the number of pigs is 5:9 There are 36 pigs on the farm.
Workout the number of chickens on the farm
Help plzz.
Answer: 70 chickens
Step-by-step explanation:
7:2
Chickens to ducks
5:9
Ducks to pigs.
There are 36 pigs. 9 is the ratio of pigs.
5 : 9
? : 36
9 x 4= 36
So multiply 5x4 to find the total ducks
=20 ducks
7 : 2
? : 20
So, 2x10 is 20 (ducks)
So 7x10 to find the chickens
(You have to balence out the sides and keep it equal
So if one side is multiplied by 10, the other is too)
7x10
= 70 chickens
The number of chickens in the farm is 70 chickens
The ratio of chickens to ducks is
7:2
The ratio of ducks to pigs is
5:9
There are 36 pigs in the farm
The first step is to calculate the total number of ducks
9-5
= 4
= 5×4
= 20 ducks
The next step is to calculate the number of chickens
= 7×10
= 70 chickens
Hence there are 70 chickens in the farm
Please see the ink below for more information
https://brainly.com/question/847212?referrer=searchResults
How much larger is 6 x 105 compared to
2 x 103? Explain how you know.
Answer:
397
Step-by-step explanation:
well we know that 6*105= 630 and 2*103 = 206 so we subtract 206 from 630 giving us 397
hope this helps.
Answer:
6×105=630
Step-by-step explanation:
2×103=206 so 6×105 is greater with 424 yimes2×103.
Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.
How do you solve this proof?
Answer:
Angle = A
A7 = A4 (Alternate interior angles)
A14 = A11 (Vertically opposite angles)
A11 = A6(Corresponding angles)
A4 = A14 (Given)
From this, we can get A6 = A4
A6 and A4 are alternate angles and are equal. So c and d are parallel.
A7 + A10 = 180 (Linear pair of angles) - ( 1 )
A13 = A10(Alternate interior angles)
Putting A13 in place of A10 in ( 1 ),
A7 + A13 = 180
Hence proved
Ask doubts if any
a) If there were 3 elephants at the zoo, how many hippos would there be?
Answer:
3 as well lol?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Lilly sells 4 boxes of cookies in 60 minutes, at this rate how long will it take her to sell 10 boxes?
Answer:
150 minutes ! 60/4 multiplied by 10!
Step-by-step explanation:
Answer:
Step-by-step explanation:To find out how long it takes her to sell one box you see how many times 4 can go into 60 to get how long it takes to sell one box. So in this case it takes 15 minutes to sell one box. So you take 15 and multiply it by 10. 15 * 10= 150
60/4=15
15*10=150
So it takes 150 minutes to sell 10 boxes of cookies.
Construye una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros. ¿Se pueden unir los puntos.
Answer:
Step-by-step explanation:
Build a formula that allows you to calculate the money collected on a bus based on the tickets sold, knowing that each one costs 1.2 euros. Can you join the dots.
Spanish
Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch
Answer:
Following are the responses to the given question.
Step-by-step explanation:
In this question, the points values are missing which is why its solution can be defined as follows:
Let
[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]
Formula:
[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]
For d1:
[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]
[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]
[tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]
For d2:
[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]
[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]
[tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]
The first distance value is greater than the second distance value.
Find the volume of a sphere with a radius of 9√6
Volume: __√6π
Answer:
[tex]648\sqrt{6}[/tex]π
Step-by-step explanation:
[tex]\frac{4}{3}[/tex]π(9√6)³
=[tex]\frac{4}{3}[/tex]π81*6*√6
=(486*[tex]\frac{4}{3}[/tex])√6π
=648√6π
Need help with this problem asap
Answer:
plug in the day to the equation:
November 1st is day 305, so November 24th would be day 328
y = 116.65 sin(0.02(328) +1.89) + 731.71
= 116.65 sin(8.45) + 731.71
= 828.247 minutes of daylight
≈ 13.8 hours or 13:48 (because .8 of an hour is ≈ 48 minutes)
Which sign makes the statement true? -7 /10 or 1/5 > < =
Answer:
-7/10 < 1/5
Step-by-step explanation:
a negative number is always less than a positive number.
Answer:
Step-by-step explanation:
It would be <!
The winner of a raffle will receive a 21-foot outboard boat. If 5000 raffle tickets were sold and you purchased 40 tickets, what are the odds against your winning the boat?
Answer:
You have a 0.8% chance of winning, and a 99.2% chance of losing
please answer the following on the attachment
Answer:
42cm²
Step-by-step explanation:
*internal screaming* okay, let's go:
So, at this point, I don't even know what I'm doing, so I'm not going to guarantee that this is right, I'm sorry, but let's do some random math:
So we know that the length (the top and bottom) of the rectangle is 7 cm, we just have to figure out the width (the sides), and we're gonna do that by:
0.5 x 2 = 1
7 - 1 = 6
So now we just do the basic rectangle area calculation:
7 x 6 = 42
So, I hope that the area of the shaded area is 42cm²
if this is wrong, let me know so I can fix it
hope this helps:/
Due tonight.. *no links*
Answer:
angle z= 96°
angle x = 33
I hope it's helps you
Answer:
z = 96
x = 33
Step-by-step explanation:
Given that g and h are parallel, we can assume that 84 and z will be equal to 180.
[tex]84 + z=180\\z= 96[/tex]
Then we make the , simple algebra work!
[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]
It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.
Use this data to answer the questions below:
2, 4, 7, 8, 9, 12, 13
What is the range of the data?
What is the second quartile Q2 (or what is the median)?
What is the interquartile range? (Q1-Q3)
Answer: The Range is 11
The Q2 is 8
The Interquartile range is 8
A wheelbarrow has one wheel and a wagon has 4 wheels. Each day, a company has 160 wheels which makes 70 garden vehicles. How many of each vehicle can the company make?
Answer:
x = number of wheelbarrow = 40
y = number of wagon = 30
Step-by-step explanation:
Let
x = number of wheelbarrow
y = number of wagon
x + y = 70 (1)
x + 4y = 160 (2)
subtract (1) from (2) to eliminate variable x
4y - y = 160 - 70
3y = 90
y = 90/3
y =30
Substitute y = 30 into (1)
x + y = 70 (1)
x + 30 = 70
x = 70 - 30
x = 40
x = number of wheelbarrow = 40
y = number of wagon = 30
answer for brainilest and 15 points
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
3 ^ −2
= 1 / 9
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4 ^ -3
= 1 /64
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
21 ^ -1
= 1 / 21
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
5^ 2 / 5 ^ 3
= 1 / 5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
9 ^ 3
= 1 / 729
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Brainlist?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
help me, please......
Answer:
Obstuse scalene
Step-by-step explanation:
Scalene - no sides are equal
the triangle is obtuse
Answer:
obtuse scalene
Step-by-step explanation:
An obtuse triangle is any triangle that has an obtuse angle. An obtuse angle is one that measures greater than 90 degrees. (so we know that this is obtuse)
A scalene triangle is one which have all three sides of a triangle of different lengths and all three angles of different measures (the three sides are diffrent so this applies)
In geometry, an isosceles triangle is a triangle that has two sides of equal length (this does not apply)
Hope this helps!
Write x^3- 7x + 7x^5 - 19 + x^2
in standard form.
A. -19 + 7x5 - 7x + x3 + x2
B. x3 – 7x + 7x5 – 19 + x2
0
C. 7x5 + x3 + x2 - 7x - 19
O D. -19 - 7x + x2 + x + 7x5
Answer:
C
Step-by-step explanation:
A polynomial in standard form is first term, variable with largest exponent followed by decreasing exponents to the last term, the constant
Given
x³ - 7x + 7[tex]x^{5}[/tex] - 19 + x² ← rearrange terms
= 7[tex]x^{5}[/tex] + x³ + x² - 7x - 19 ← in standard form → C
Lots of points and brainliest!!!
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
The pool is 1 meter deep.
The pool is 2 meters deep.
The toy falls at a rate of at least a Negative one-half meter per second.
The toy sinks at a rate of no more than a Negative one-half meter per second.
Answer:
The toy falls at a rate of at least a Negative one-half meter per second.
Step-by-step explanation:
Answer:
the awnser is a or the pool is 1 meter deep
Step-by-step explanation:
i am smart and i got it right when i did it
15.
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5
A. y = 3x
B. y = [tex]\frac{10}{x}[/tex]
C. x = [tex]\frac{y}{3}[/tex]
D. y = [tex]\frac{x}{10}[/tex]
Answer:
y=10/x
Step-by-step explanation:
Y=k/x
Y=2 & x=5 implies k=10
Hence, y=10/x is the desired equation of the hyperbola
...................................................................................................................................................
Answer:
The equation is and y = 2 , x = 5 the value of k is 10 .
Step-by-step explanation:
As given
y varies inversely with x.
Where k is the constant of proportionality .
Thus the equation for the inverse variation .
As given
y = 2 when x = 5
Put all the values in the equation .
k = 2 × 5
k = 10
Thus the constant of variation is 10 .
Therefore the equation is and when y = 2 , x = 5 value of k is 10 .
...............................................................................................................................................
y
=
10
x
Explanation:
y
varies inversely with
x
⇒
y
∝
1
x
∴
y
=
k
x
y
=
2
,
x
=
5
gives
2
=
k
5
⇒
k
=
2
×
5
=
10
y
=
10
x
Answer link
...............................................................................................................................................
Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for any x
...............................................................................................................................................
The answer is y=10/x
x y -28 -54 21 -40 -14 -26 What is the y-intercept of the line?
Answer:
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digkskzdk the him her i the him and plane and the him and his team and plane to Southwest Florida state university and I am a are you sleeping in summer and I will have to check gel and plane with a safe and sound the him i I I i I I I will have to Southwest airlines at a safe and secure the bookings for tiles wall deposited by the riversThe world famous gambler from Philadelphia, Senor Rick, proposes the following game of chance. You roll a fair die. If you roll a 1, then Senor Rick pays you $25. If you roll a 2, Senor Rick pays you $5. If you roll a 3, you win nothing. If you roll a 4 or 5, you must pay Senor Rick $10, and if you roll a 6, you must pay Senor Rick $15. Is Senor Rick loco for proposing such a game? Explain.
Answer:
You lose $0.833 while Rick gains $0.833, and so Rick is not Loco
Step-by-step explanation:
There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6
Probability of rolling two is 2/6.
Rolling a 1 pays $25, and probability = 1/6
Rolling a 2 pays $5,and probability = 1/6
Rolling a 3 pays $0, and probability = 1/6
Rolling a 4 or 5 pays -$10, and probability = 2/6
Rolling a 6 pays -$15, and probability = 1/6
Thus,lets calculate the expected value;
EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)
EV = - $0.833
This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.
Brian built 3 wooden toys. Each toy had a mass of 5/7 kilograms. What was the total mass of the toys that he built
Answer:
2 1/7 kg
Step-by-step explanation:
Multiply 5/7 kg by 3, obtaining 15/7 kg, or 2 1/7 kg
x2 + 4
Select all that apply
Answer:
The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.
Step-by-step explanation:
The price of a 32 pack of water at heb is $2.98. The tax rate is 8% what is the final cost of the water
Answer:
The final cost of the water is $3.22.
Step-by-step explanation:
In order to find the answer, you have to add the tax to the price of the 32 pack of water by calculating 8% of the price and adding that amount to it.
2.98*8%=0.24
2.98+0.24=3.22
According to this, the answer is that the final cost of the water is $3.22.
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0
You must show all work and calculations to receive credit.
Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]
Step-by-step explanation:
Given
the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]
completing the square
[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]
Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]
the diagram shows a cuboid.what is the surface area of the cuboid
plz help
Answer:
202 cm
Step-by-step explanation:
You need to add the areas of the faces, and since it is a cuboid opposite faces are the same. If you do 2(5x9) + 2(4x9) + 2(4x5) you will get your answer.
Answer:
Hello Love! Answer: 202
Step-by-step explanation:
First off we have to do all 6 faces remember that each face will have a matching face that goes along with it so Imma start with the front face that would be 9 x 5 = 45 same for back face
Then ill do sides that will be 5 x 4 = 20 for both left and right sides Then ill do top and bottom
thats 4 x 9 = 36 Now ill add all of these up.
So 45 + 45 + 20 + 20 + 36 + 36 and that = 202
A scary man dressed as a tomato stops you on the street and demands that you do the problem: 6.76 / 1.3 What is your answer to 6.76 / 1.3?
Answer:
5.2
Step-by-step explanation:
Just divide 6.76 and 1.3, which equals 5.2.