Find three consecutive
integers whose sum is 351
Help please

Answers

Answer 1

Answer:

116, 117, 118

Step-by-step explanation:

Consecutive numbers are numbers that come after each other, such as 1, 2 and 3.

Find the expressions for the integers:

Let the smallest integer be x.

2nd integer= x +1

3rd integer= x +1 +1= x +2

Form an equation:

x +x +1 +x +2= 351

Solve for x:

3x +3= 351

3x= 351 -3

3x= 348

x= 348 ÷3

x= 116

Find the other 2 integers:

2nd integer= 116 +1= 117

3rd integer= 117 +1= 118

Hence, the three consecutive integers are 116, 117 and 118.


Related Questions

11. y-61 = -35

Help!!

Answers

Y-61=-35
Y-61+61=-35+61
Simplify
Y-26

Locate the point in the complex plane and express the number in polar form.

Answers

Answer:

We kindly invite you to see the result in the image attached below.

The number in polar form is [tex]z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}[/tex].

Step-by-step explanation:

A complex number is represented by elements of the form [tex]a + i\,b[/tex], for all [tex]a[/tex], [tex]b[/tex] [tex]\in \mathbb{R}[/tex]. The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.

Now we proceed to present the point on the graph: ([tex]a = 6[/tex], [tex]b = 3[/tex])  We kindly invite you to see the result in the image attached below.

The polar form of the complex number is defined by:

[tex]z = r\cdot e^{i\cdot \theta}[/tex] (1)

Where:

[tex]r[/tex] - Magnitude of the complex number, dimensionless.

[tex]\theta[/tex] - Direction of the complex number, measured in radians.

The magnitude and the direction of the complex number are defined by the following formulas:

Magnitude

[tex]r =\sqrt{a^{2}+b^{2}}[/tex] (2)

Direction

[tex]\theta = \tan^{-1} \frac{b}{a}[/tex] (3)

If we know that [tex]a = 6[/tex] and [tex]b = 3[/tex], then the polar form of the number is:

[tex]r =\sqrt{6^{2}+3^{2}}[/tex]

[tex]r = 3\sqrt{5}[/tex]

[tex]\theta = \tan^{-1} \frac{6}{3}[/tex]

[tex]\theta \approx 0.352\pi \, rad[/tex]

[tex]z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}[/tex]

The number in polar form is [tex]z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}[/tex].

Emma volunteered at an animal shelter for a total of 119 hours over 6 weeks. Estimate the number of hours she volunteered each week

Answers

Answer:

20 hours

Step-by-step explanation:

HELP NOW PLEASE -2n-3 > 33

Answers

Answer:

n< -18

Step-by-step explanation:

Ummm I’m not for sure I think is n<-18

PLEASE HELP MARKING PEOPLE AS BRAINLIST ALL DAY LONG

Answers

Answer:

x=17. I think.....

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

Since the two angles are vertical to each other they have the same measure.

x + 35 = 3x + 1 (subtract 1 on both sides)

x + 34 = 3x (subtract x on both sides)

34 = 2x (divide by 2 on both sides)

17 = x

Hope this helps ya!!

Use benchmark fractions and estimation to solve this problem: 1/5 + 4/5

Answers

Answer:

The answer is 1

Step-by-step explanation:

1/5 + 4/5 = 5/5

5/5 = 1

Which graph represents y=x-5?​

Answers

Can uu show the rest of the graph??????

A plane traveled 3900 miles with the wind in 6.5 hours and 3250 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

Answers

The speed of plane in still air will be 550 miles / hour and speed of wind will be 50 miles / hour.

It is given that a plane traveled 3900 miles in 6.5 hours with wind and 3250 miles in 6.5 hours against wind.

We have to find out the speed of plane in still air and speed of wind.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

Distance travelled with wind in 6.5 hours = 3900 miles

Distance travelled against wind in 6.5 hours = 3250 miles

Let's assume speed of plane in still air be P and speed of wind be W.

So;

The total rate with the wind is the plane speed plus the wind speed and against the wind is speed of plane minus speed of wind.

i.e.,

d = rt

⇒ 6.5 ( P + W ) = 3900 miles  --- ---- --- --- -- ------- ----- --- Equation 1

and

⇒ 6.5 ( P - W ) = 3250 miles  --- ---- --- --- -- ------- ----- --- Equation 2

Let's solve the equations to get value of P and W ;

i.e.,

P + W = 3900 / 6.5

or

P + W = 600

and

P - W = 3250 / 6.5

or

P - W = 500

adding both equations ; we get ;

2P = 1100

or

P = 550 miles / hour

And

W = 50 miles / hour

Thus , the speed of plane in still air will be 550 miles / hour and speed of wind will be 50 miles / hour.

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4.5lb times $15 per pound

Answers

Answer:

$67.50

Step-by-step explanation:

You would just multiply 4.5x15

Hope this helps!

-AxekickNebulite

Joe collects Pokemon cards. He already has 100 and buys a dozen more each week when he goes to the store. Jessica also collects Pokemon cards. She has 130 cards, and buys 6 more each week at the store.After how many weeks would the two kids have the same amount of cards?​

Answers

Answer:

5 weeks

Step-by-step explanation:

To find the answer to this question we have to write an equation for both situation and put them equal to each other.

Let's write an equation for Joe:

12x + 100

Now, for Jessica

6x + 130

Next, put them equal to each other:

12x + 100 = 6x + 130

Solve:

12x + 100 = 6x + 130

6x + 100 = 130

6x = 30

x = 5

Therefore, it will take 5 weeks for Joe and Jessica to have the same amount of cards.

Check:

12(5) + 100 = 6(5) + 130

60 + 100 = 30 + 130

160 = 160

I hope this helps!!

- Kay :)

Solve the formula for the specified variable.
V=YMK for Y

Answers

Dividing both sides by MK yields

[tex]\boxed{Y=\frac{V}{MK}}[/tex]

PLEASE ANSWER QUICK 90 POINTS AND BRAINLIEST

Answers

Answer:

okay show me it

Step-by-step explanation:

I am up for it whatever you need

YESS

Because these are f r e e points

Landon invested $110 in an account paying an interest rate of 4.1% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest hundred dollars, would be in the account after 5 years?

Answers

Answer:

the amount after 5 years using compound continuously is $135.03

Step-by-step explanation:

The computation of the amount after 5 years using compound continuously is as follows

= Principal × e^(rate × time period)

= $110 × e^(4.2% × 5)

= $110 × 1.227525065

= $135.03

Hence, the amount after 5 years using compound continuously is $135.03

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

Laws of Exponents
Instruction Active
Simplifying Products and Quotients of Powers
7² 78
74
a=
=
79
75
-
75
b=

Answers

Answer:

a = 10 and b = 6

Step-by-step explanation:

I am having a little trouble reading the numbers, but I think that I see

[tex]\frac{7^{2} 7^{8} }{7^{4} }[/tex]

If we wrote this in expanded form, it would look like:

[tex]\frac{7x7x7x7x7x7x7x7x7x7}{7x7x7x7}[/tex]  How many 7s are on the top?  10  That is the answer to a.  The product of powers principle tells us that if we are multiplying powers with the same bases we add the exponents 2 + 8 = 10

[tex]\frac{^{10} }{7^{4} }[/tex]

Now it looks like

[tex]\frac{7x7x7x7x7x7x7x7x7x7}{7x7x7x7}[/tex]  if we cross the 7's out in the top and the bottom, we are left with 6 7's on the top.  That is the answer to b.

The quotient of powers principle tells us that if we are dividing powers with the same bases, we can subtract the exponents (10 -4 = 6)

The table shows the ratio between the number of packets and the number of seeds of a certain plant contained in them:


Number
of packets Number
of seeds
5 10
6 12
7 14


Which graph shows equivalent ratios?

Answers

Answer:

C would  be your answer

Step-by-step explanation:

I CANT FIGURE THIS OUT PLEASE HELP ME FIND angles FAB and BAC

Answers

FAB=75 BAC=105 I hope this helps

||x+4|-7|<5

PLS SOLVE

Answers

Answer:

this is step by step

Step-by-step explanation:

||x+4| -7<5

|x+4|<12

{(x+4)+(-4)>–12 + (–4)

{(x+4)+(–4)<–12 + (–4)

{x+4–4>–12–4

{x+4–4<12–4

{x> – 16

{x<8

–16<x<8

x€(–16,8 )

I hope naka tulong

The triangles are similar.


What is the value of x?


Enter your answer in the box.

x =

Answers

x=12 because say if we choose the base line as our example then the baseline for the small triangle is 7 and the baseline for the bigger triangle is 28. To get from 7 to 28 you have to times by 4 , so the triangle has been enlarged by 4. If we get the side where it says 25 (for the smaller triangle) we can times it by 4 to get 100. Our equation is now 100=6x+28. To work this equation out you do -28 for both sides which equals to 72=6x.
Then we divide by 6 on both sides to get our answer as 12=x
Hope this helped, ask me if you are confused by anything that I just said.

I need help, I got 80 and 90 but it said I was wrong...​

Answers

Answer:

I think it is 90 and 100

Step-by-step explanation:

I used this equation: x is the speed of the slower train

910 = (5x + 10) + 5x

Answer:

The answer is 86 and 96 mph

Step-by-step explanation:

Givens

Train A

Distance traveled = d

time taken = 5 hours

rate traveled = r

Train B

Distance traveled = 910 - d

time taken = 5 hours

rate = r + 10

Formula

basically d = r * t

Solution

Train A: d/r = 5 or d = 5*r

Train B = (910 - d)/(r + 10) = 5    or

Substitute d = 5*r   into Train B

(910 - 5*r)/(r + 10) = 5        Multiply both sides by r + 10

(910 - 5r) = 5 * (r + 10)       Remove the brackets on both sides

910 - 5r = 5r + 50             Add 5r to both sides

910 = 5r + 5r + 50

910 = 10r + 50                  Subtract 50 from both sides

910 - 50 = 10r                  Combine the left

860 = 10r

10r = 860                         Divide by 10

r = 860/10

r = 86

r + 10 = 96

Check

Train A distance: 5*r = 5 * 86 = 430

Train B distance: 5*r = 5 * 96 = 480

Total =                                         910

Juan’s father is paying for a $45 meal. He has a 10%-off coupon for the meal. After the discount, an 8% sales tax is applied. What does Juan’s father pay for the meal? Explain or show your reasoning.

Answers

Answer:

$43.74

Step-by-step explanation:

will pay= $45

10% of =$45×10/100=$4.5

so, $45-$4.5= $40.5

8% tax= $40.5×8/100 =$3.24

total= $43.74

Mary picked 15 flowers from her garden that were pink and yellow. If 3 out of 5 of these flowers were yellow, how many flowers did Mary pick that were pink

Answers

Answer:

id say 10 but im dumn if get wrong do not star me 5 only one star

Step-by-step explanation:

Answer: 6 of the flowers are pink

Step-by-step explanation:

If 3/5 of the flowers are yellow you would convert the 3/5 into a 9 because 1/5 of 15 is 3 so you would multiply 3 by 3 to get nine. By doing this you will find out the 2/5 or the remaining flowers are pink which makes 6 pink flowers.

The sum of two numbers is 10 and the difference is 6. What is the
product of the two numbers? Provide evidence of your work in your
answer
Your answer
This is a required question

Answers

Answer:

4

Step-by-step explanation:

If the sum is 10 and 6 is one of the numbers that makes up 10, all you have to do is subtract 6 from 10 and you get 4.

hope this helps

sorry if it wrong

A wagon is being pulled by a force of 15 pounds. How
much work is done in moving the wagon 50 feet if the
handle makes an angle of 40° with the ground?
11.49 foot-pounds
38.30 foot-pounds
574.53 foot-pounds
750.00 foot-pounds

Answers

Answer:

C. 574.53

Step-by-step explanation:

Option C) is correct work done = 574.53.

Force = 15 pounds
distance = 50 feet
Ф = 40°

What is work done?

work done is product of force and cosine of displacement.

work done = force x displacement x cosФ
= 15 x 50 x cos40
= 15 x 50 x 0.76
= 574.53

Thus the required work done is 574.53 to pull the wagon.

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What is the slope of a line that is perpendicular to the line y = 1/6 x + 4? The slope of the line is .

Answers

Answer:

-6

Step-by-step explanation:

The slope of a perpendicular line has the slope of the opposite and reciprocal of the current line. We would get -1/6 and then -6.

what is the slope of a line parallel to the function y=1/2x + 4​

Answers

Answer:

1/2

Step-by-step explanation:

parallel slopes are exactly the same

Answer:

slope is 1/2

Step-by-step explanation:

the function y = 1/2 x+4 has the slope 1/2 because y=mx+b where m is slope

Tne slope of a parallel line to this function is the same m=1/2 because parallel lines have same slope

3. Metal is made using Copper, zine and lead in the ratio 13:6:1, the mass of the zinc is 90kg, calculate
1) the total mass of metal
2) the mass of the copper
3) the mass of the lead as a % of the total mass of the metal​

Answers

Answer:

1) 150 kg

2) 97.5 kg

3) 5%

Step-by-step explanation:

Ratios of each metal to total mass of metal can be computed by dividing its corresponding value by the sum of all the values in the ratio

The ratio of zinc to metal = 6/(13 + 6 + 1) = 6/20 = 3/10

Let the total mass of the metal be X

Then mass of zinc = (3/5)X = 90 kg (given)

1) Multiplying both sides by 5/3 gives X = 5/3 x 90 = 150 kg which is the total mass of metal

2) Ratio of copper to metal mass = 13/20
Mass of copper = 13/20 x 150 = 97.5 kg

3) Mass of lead as a ratio of metal = 1/20 = 0.05

As percentage, multiply by 100 to get 0.05 x 100 = 5%

1
Question 2 of 5 (1 point) Que
3
Calculate the distance between the point (-8,0) and (-5, 3) in the coordinate plane.
Round your answer to the nearest hundredth
Distance:

Answers

The distance between (-8,0) and (-5,3) in the coordinate plane is 9 units.

Given that the coordinates of points in the coordinate plane are (-8,0) and (-5,3).

We are required to find the distance between the given points.

Distance is basically a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to physical length or an estimation based on other criteria.

Distance between (-8,0) and (-5,3)=[tex]\sqrt{(-5+8)^{2} +(3-0)^{2} }[/tex]

=[tex]\sqrt{3^{2} +3^{2} }[/tex]

=[tex]\sqrt{9+9}[/tex]

=[tex]\sqrt{81}[/tex]

=9 units

Hence the distance between (-8,0) and (-5,3) in the coordinate plane is 9 units.

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Without graphing, classify each system
independent, dependent, or inconsistent.

3y + 2x= 12
36 - 9y = -6x

Answers

Answer:

The solution to the system of equations be:

[tex]y=4,\:x=0[/tex]

As the consistent system of equations has only one solution, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]3y + 2x= 12[/tex]

[tex]36 - 9y = -6x[/tex]

solving the system of equations

[tex]\begin{bmatrix}3y+2x=12\\ 36-9y=-6x\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}3y+2x=12\\ -9y+6x=-36\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}3y+2x=12\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:9y+6x=36[/tex]

[tex]\begin{bmatrix}9y+6x=36\\ -9y+6x=-36\end{bmatrix}[/tex]

so

[tex]-9y+6x=-36[/tex]

[tex]+[/tex]

[tex]\underline{9y+6x=36}[/tex]

[tex]12x=0[/tex]

[tex]\begin{bmatrix}9y+6x=36\\ 12x=0\end{bmatrix}[/tex]

solve 12x=0 for x

[tex]12x=0[/tex]

Divide both sides by 12

[tex]\frac{12x}{12}=\frac{0}{12}[/tex]

[tex]x=0[/tex]

[tex]\mathrm{For\:}9y+6x=36\mathrm{\:plug\:in\:}x=0[/tex]

[tex]9y+6\cdot \:0=36[/tex]

[tex]9y=36[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{36}{9}[/tex]

[tex]y=4[/tex]

Thus, the solution to the system of equations be:

[tex]y=4,\:x=0[/tex]

As the consistent system of equations has only one solution, it is independent.

what would be the slope for (-4,-7) (-6,4)​

Answers

Answer:[tex]\frac{11}{-2}[/tex]

Step-by-step explanation:

ok so I'm going to try to show it the best c an

m = slope

the equation you use is

[tex]\frac{y2-y1}{x2-x1} =[/tex] m

so when using that formula with the cords, you get

[tex]\frac{4-(-7)}{-6-(-4)}[/tex]

and then subtract everything and you'll get

[tex]\frac{11}{-2}[/tex]

Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?



A.
Line JK and line LM will be parallel.

B.
Line JK and line LM will be perpendicular.

C.
The slope of line JK will be the same as the slope of line EF.

D.
The slope of line LM will be the negative reciprocal of the slope of line GH.

Answers

Answer:

A.

Step-by-step explanation:

I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.

EF: (-9,1) (-4,9)

[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6

GH: (-5,-2) (0,6)

[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6

Same slope and different y-intercept means the lines a parallel

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