Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?

Answers

Answer 1

Answer: The required three consecutive odd integers are 7, 9 , 11.

Step-by-step explanation:

Let x , x+2 , x+4 be the three consecutive odd integers.

As per given ,  

10(x) = 59+x+4

⇒10x= 59+x+4

⇒ 9x= 63

⇒ x= 7   [ divide both sides by 7]

Hence, the required three consecutive odd integers are 7, 9 , 11.


Related Questions

HELP PLEASE NO FOOLISH ANSWERS
QUESTION: When we apply a force to something, it moves! Mass is important for calculating how fast things accelerate (change speed) when we apply a force to them. What determines how fast a car can speed up? You probably know that your car accelerates slower if it has five adults in it than if it only has one. IDEK WHY THIS IS A MATH PROBLEM-

Answers

Answer:

Mass determines how fast a car can accelerate. Since a car accelerates slower with more adults, and faster with less adults, this means that the mass has a big impact on acceleration. Therefore, we can conclude that the mass determines how fast a car can accelerate.

simplify this complex fraction 4/3/2/5

Answers

Answer:

If the question is (4/3) / (2/5), then the answer is 10/3 or 3 and 1/3

Step-by-step explanation:

What volume would a 200 g sample of gold have, if its density is known to be 19.3

Answers

Answer:

The volume that a 200 g gold sample would have is 10.36 mL.

Step-by-step explanation:

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

[tex]density=\frac{mass}{volume}[/tex]

In this case it is known that the density of gold is 19.3 g / mL. This indicates that in 1 mL there are 19.3 g. Then the following rule of three can be applied: if 19.3 g is contained in 1 mL, how much volume is 200 g of gold?

[tex]volume=\frac{200 g*1mL}{19.3g}[/tex]

volume= 10.36 mL

The volume that a 200 g gold sample would have is 10.36 mL.

Write the logarithmic expression as single logarithmic with coefficient 1, and simplify as much as possible. Assume that all variable expressions represent positive real numbers.

[tex] \frac{1}{3} log_{5}(p) + log_{5}(p^{2} - 25 ) - log_{5}(p - 5) [/tex]
Thanks in advance. ​

Answers

Answer:

log₅(p)¹/³(p+5)

Step-by-step explanation:

1/3log₅(p) + log₅(p²-25) - log₅(p-5) = 1/3log₅(p) + log₅(p+5)(p-5) - log₅(p-5) =1/3log₅(p) + log₅(p+5) + log₅(p-5)  - log₅(p-5) =1/3log₅p + log₅(p+5) =log₅(p)¹/³(p+5)

Answer: The answer is log₅(p)¹/³(p+5).

Step-by-step explanation:

Which number line shows the solution to the inequality?
x + 1> 5

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Nicki's class needs to raise 89.45 in order to have a pizza party so far she has 69.90 how much more money does Nicki's class need to buy the pizza party?

Answers

Subract 89.45 by 69.90
89.45 - 69.90= $19.55

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

its one hour but I don't know the minutes
Its not 5 min

Answers

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

Add the two expressions.

3z−4 and 2z + 5


I need it asap please help!

Answers

Answer:

3(1)-4=-1 2(1)+5=7

Answer:

5z+1

Step-by-step explanation:

it was simple

what is an equation for the translation of y=|x| left 7 units?

Answers

Answer:

y,x-7

Step-by-step explanation:

I think this is it

Answer:

y=x-7

Step-by-step explanation:

Determine if parallel, perpendicular, or neither.

3y+x=12
-y=8x+1

Answers

Answer:

neither

Step-by-step explanation:

1. if to re-write the equation they will be (in standart form y=kx+b):

3y+x=12 ⇔ y=-1/3 x+12 and -y=8x+1 ⇔ y= -8x-1

2. if the lines are parallel, then k₁=k₂, but k₁=-1/3 and k₂=-8 (k₁≠k₂);

3. if the lines are perpendicular, then k₁*k₂= -1, but k₁*k₂=8/3≠ -1;

4. finally, neither.

A cell phone tower and a fence are on the same property. the fence is 8 feet tall and has a shadow that measures 14.5 feet. the shadow of the cell phone tower measures 72.5 feet . how tall is the cell phone tower ?​

Answers

Answer:

40 feets

Step-by-step explanation:

Given that:

Height of fence = 8 feets

Shadow of fence = 14.5 feets

Shadow of cell phone tower = 72.5 feets

Height of cell phone tower = x

Height of fence = shadow of fence

Height of tower = shadow of tower

8 feets= 14.5 feets

x feets = 72.5

Cross multiply :

(14.5 * x) = (72.5 * 8)

14.5x = 580 feets

x = 580/14.5

x = 40 feets

Hence, the height of the cell phone tower is 40 feets

Which lines from Natalie Merchant's song "Wonder" most likely inspired R. J. Palacio to give August's mother's great determination in the novel Wonder? O Doctors have come from distant cities just to see me O stand over my bed disbelieving what they're seeing with love, with patience and with faith she'll make her way I'm over your heads how I confound you and astound you​

Answers

Answer:

C)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The guy above me is correct

Please help! Not good at math whatsoever!!

Answers

I so the calculate is 34.56411 hope it helps

help help help pls pls ASAP​

Answers

Answer:

#6 slope is -1/2 and y intercept is 4

#8 slope is 1/3 and y intercept is -2

Step-by-step explanation:

#6- slope -1/2 y-intercept 4
#8- slope -1/3 y-intercept -2

which option gives you more snack when spending the same amount of money?
Doritos 4.39 for 11.5 oz
or
cheetos 9.75 for 3.24

Answers

Answer:

Spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.

Step-by-step explanation:

Given that the Doritos package costs $ 4.39 and contains 11.5 ounces of product, the price of each ounce of said snack comes from the following calculation:

4.39 / 11.5 = X

0.38 = X

Therefore, each ounce of Doritos costs $ 0.38.

In turn, the Cheetos package costs $ 3.24 and contains 9.75 ounces of snacks, so its price per ounce is obtained through the following calculation:

3.24 / 9.75 = X

0.33 = X

Thus, each ounce of Cheetos costs $ 0.33.

Therefore, spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.

Determine the number of real solutions of the following system of equations.
y = x^2 + 1
y=1
O 3
O 0
O 2
O 1

Answers

It has one solution x=0

find the sum of 301+73+27 , mentally, using the associative property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.

Answers

Answer:

401

Step-by-step explanation:

301 + 73 + 27

Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.

Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.

301 + 73 + 27 =

= 301 + (73 + 27)

= 301 + 100

= 410

A package of 4 pairs of insulated socks costs $26.36. What is the unit price of the pairs of socks?
The unit price is $
per pair of socks

Answers

Answer: The unit price is $6.59 per pair of socks

Step-by-step explanation: 26.36. divided by 4 = 6.59

The answer is $6.59 for each unit.

Compare. Select <,>, or=.
8.465? V 8.445

Answers

Answer:

8.465>8.445

Step-by-step explanation:

8.465>8.445

So 8.465 is greater than 8.445

Penny’s bank account showed a balance at the beginning of the month of $180. She
spent $2.50 each day on bus tokens. Write an equation representing the amount A left in
her account after d days.

Answers

d=180-2.50x I think.

Answer:

[tex]a=180-2.50d[/tex]

Step-by-step explanation:

If Penny starts with a balance of $180, and [tex]a[/tex] represents the account left in her account after [tex]d[/tex] days. we can start modeling an incomplete equation:

[tex]a=180[/tex]

We are then told that she spends $2.50 each ([tex]d[/tex]) day. This can be represented as:

[tex]2.50d[/tex]

Let's now include the expression into the incomplete equation. Remember that since she is spending, the [tex]2.50d[/tex] will be subtracted from her balance of $180:

[tex]a=180-2.50d[/tex]

Find the coordinates of the reflection: B (7,-1) is reflected over the x-axis B’=?

Answers

Answer:

(7;1)

Step-by-step explanation:

The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.

However the ordinate of the point B'  will have the opposite sign as ardinate  B. However the module of ordinate B'  is going to be the same as module of orrdinate B.

(7,1) because when you reflect over the x axis you will change the value of y, and vice versa

Helppp ASAP. Emma wants to enlarge a square photo and print it to a square canvas. The side
length of the canvas is 12 in. The scale from the canvas to the photo is 4 in. to 1 in.
What is the side length of Emma's photo? Show your work.

Answers

The side length is 3in. Divide 12 inches by 4 inches, and you get 3. Multiply 3 by the conversion (1 inch), and you will get 3 inches.

What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?

The answer is not 80 btw

Answers

Answer:  130

Explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

Answer:

130°

Step-by-step explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

a garden store is making seed package . Each package contains 35 seeds. There are 1960 seeds available. How many seed package can be made ?

Answers

Divide total seeds by seeds per package:

1960 / 35 = 56

56 packages can be made.

Simplify the given expression. Write your answer with positive exponents.
(See picture below to see problem)

Answers

Answer:

heres your answer

Step-by-step explanation:

here you go miss.

simplify the following boolean expression (A+B) (A+B)​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](A + B)(A + B) = [/tex]

[tex] {A}^{2} + 2AB + {B}^{2} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The slipe of the line passing through the points (7, 5) and (21, 15) is

Answers

Answer:

5/7

Step-by-step explanation:

You find a slope by using the equation y2-y1/x2-x1.

In this case: 15-5/21-7

10/14

5/7

Someone please help thank you ! With full answers

Answers

Height is V/pi*r²..............

Answer:

[tex]A) h=\frac{V}{\pi r^2}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h\\h=\frac{V}{\pi r^2}[/tex]

Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.

Which statement is true?

For every vote Phil received, Natalie received 4 votes.

For every vote Phil received, Natalie received 4 votes.

For every vote Phil received, Natalie received 3 votes.

For every vote Phil received, Natalie received 3 votes.

For every 4 votes Natalie received, Phil received 7 votes.

For every 4 votes Natalie received, Phil received 7 votes.

For every 4 votes Natalie received, Phil received 3 votes.

Answers

Answer:

Por cada 4 votos que recibió Natalie, Phil recibió 3 votos.

Step-by-step explanation:

How many decimals are between the number zero and -1

Answers

Answer:

an infinite amount

Step-by-step explanation:

Think about it this way:

A decimal between 0 and -1 is -0.1, right?

But so is -0.11...

...And -0.111, and -0.1111, and so on.

Since you can add any amount of decimal places, the number of potential decimal numbers between 0 and -1 must be infinite.

HTH :)

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