The sum of four consecutive integers is 170. Write an equation that can be used to find the smallest integer.

Answers

Answer 1

Answer:

The Equation to find the smallest integer =

4x + 6 = 170

The smallest integer = First integer = x = 41

Step-by-step explanation:

Four consecutive integers is represented by:

First Integer = x

Second Integer = x + 1

Third Integer = x + 2

Fourth Integer = x + 3

The sum of four consecutive integers is 170.

x + x + 1 + x + 2 + x + 3 = 170

The Equation to find the smallest integer =

4x + 6 = 170

4x = 170 - 6

4x = 164

x = 164/4

x = 41

Therefore:

The Equation to find the smallest integer =

4x + 6 = 170

The smallest integer = First integer = x = 41


Related Questions

The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.​

Answers

Answer:

(2,7)

Step-by-step explanation:

You want to get a job to earn at least $120 per week, but you can not work more than 18 hours a week. There is online work you can do that only pays $4 per hour, or you could help your uncle for $8 per hour as an apprentice repair mechanic. Is the below a possible solution? (Type your fill-in-the-blank answers).
Captionless Image

Answers

Answer:

hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120

Step-by-step explanation:

Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2

Answers

The answer is D).

10/5 is 2 and the exponents will cancel out.

Help I will give brainlist and 30 points

Answers

Answer: the 3rd one is the only true one because there are 7 boys and 2 girls

The answer is the third one. The ratio is 7:2, so there’s 7 boys for every 2 girls.

WILL GIVE BRAINLIEST please help

Answers

Answer:

First bullet point

Step-by-step explanation:

Answer: The first option (A)

Step-by-step explanation:

i did the math just plug in the numbers for x.

hope this helps pls mark me brainliest

Geometry 3 help please

Answers

Answer:

Ok its A= x +4 because that its lower than the other one so since its lower it will be better

can someone help me im stuck

Answers

Answer:

(3). 500; (4) 60

Step-by-step explanation:

Is 5/6 greater or is 9/10 greater

Answers

Answer:

9/10

Step-by-step explanation:

9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333

Answer: 5/6

Step-by-step explanation:

because with fractions if the bottom is less than it is more than a number bigger tha it

pls help me with #9 :)

Answers

Answer:

94°

Step-by-step explanation:

it is a similar triangle and corresponding angles of similar triangles are equal. and interior angles of triangles always equal to 180°

Answer:

A- 94

Step-by-step explanation:

p= 32

k= 54

m= 180 - (32+54) = 94

angle  m ~ angle j

Angle j = 94

I hope im right!!

If you spin the spinner 75 times how many 2s would you get?

Answers

Answer:

If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.

Step-by-step explanation:

Someone help plz????

Answers

Answer:

the answer is 24.1 MM

Step-by-step explanation:

Answer:

approx. 24.1 mm squared (when rounded to the nearest 10th)

Step-by-step explanation:

Surface area of cylinder = 2πr(h+r)

plug in what we know

2π*1.2(2+1.2)

solve

approx. 24.1 mm squared

HELP QUICK! Can someone please explain this and show your work please!

Answers

Answer:

x > -2

Step-by-step explanation:

[tex]-\frac{x}{2} + \frac{3}{2} < \frac{5}{2} \\-\frac{x}{2} < \frac{2}{2} \\-\frac{x}{2} < 1\\-x < 2\\-\frac{x}{-1} < \frac{2}{-1} \\x > -2[/tex]

See picture of graphed number line below:

The given point 1, -3 reflected over the x axis

Answers

Answer:

(1,3)

Step-by-step explanation:

The image of (1, -3) is (1, 3).

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Point = (1. -3)

Reflected over the x-axis.

So,

(1, -3) = (1, -(-3)) = (1, 3)

Thus,

(1, 3) is the reflected image.

Learn more about reflections here:

https://brainly.com/question/12463306

#SPJ2

3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit​

Answers

Answer:

1kg of apple : €0.50

1kgof grapes : €1.20

Step-by-step explanation:

15kg of apples and 40kg of grapes costs €38

15kg of apples and 9kg of grapes costs €22.50

38 - 22.50 = 15.5

40 - 9 = 31

15.5 ÷ 31 = 0.5 ( 1kg of grapes )

0.5 × 3 = 1.5

7.5 - 1.5 = 6

6 ÷ 5 = 1.2 ( 1kg of apples )

Please answer as quickly as you can! ♥ Find two possible dimensions for a cylinder that has a volume of 64π cm³.

Answers

Answer:

Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Step-by-step explanation:

Given:

Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]

To find: Dimensions of a cylinder

Solution:

Let [tex]r,h[/tex] denote height of a cylinder.

Volume of a cylinder = [tex]\pi r^2h[/tex]

Therefore,

[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]

One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].

Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]

So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Use the square root property to solve: 5x^2+8 =133


Please help

Answers

Answer:

x = ± 5

Step-by-step explanation:

See the steps

5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5

Answer:

x=5

x=−5

Step-by-step explanation:

5x^2+8 =133

Subtract 8 from both sides.

5x^2=133−8

Subtract 8 from 133 to get 125.

5x^2=125

Divide both sides by 5.

x^2=125/5

Divide 125 by 5 to get 25.

x^2=25

Take the square root of both sides of the equation.

x=5

x=−5

8. Find the slope of the line that contains the
following points:
b. (6, -2) and (-3, 1).

Answers

Answer:

slope = [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:

[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]

Thus, the slope is [tex]-\frac{1}{3}[/tex].

5692 in standard form

Answers

Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent? Write an equation to represent this situation.

Answers

Answer:

y = 2/3x

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

y = kx

The coefficient is:

k = y/x

Let's verify if the given numbers fit into the same relationship:

12/18 = 2/38/12 = 2/320/30 = 2/3

We confirm all same and it means k = 2/3

Required equation is:

y = 2/3x

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

What is the value of 0.1562 rounded to the nearest hundredth place?

Answers

Answer:

0.16

Step-by-step explanation:

A bookshop has an offer.
"Buy one book and get one free!"
Ria gets 8 books from the shop with that offer.
The normal price of each book is £5.99.
How much does Ria spend?

Answers

all you have to do is 5.99x4 which equals 23.96

In 1992 a gigabyte cost $3000. In 2012 the gigabyte price decreased by 97%. What was the cost of a gigabyte in 2012

Answers

The cost of a gigabyte in 2012 was $80 hope this helps

a gazelle can run away from a cheetah with a speed of 35.0 m/s. if the average gazelle has a mass of 40.00 kg, what is the gazelles kinetic energy,in kilojoules?HELPPP

Answers

9514 1404 393

Answer:

  24.5 kJ

Step-by-step explanation:

Kinetic energy is given by the formula ...

  KE = 1/2mv² . . . . . where m = mass

The gazelle's kinetic energy is ...

  KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters

  = 24,500 J . . . . . . 1 J = 1 kg·m²/s²

  = 24.5 kJ . . . . . . . 1000 J = 1 kJ

Nancy had 6 feet of ribbon she will use to make gift wrapping bows. She needs 1/3 of a foot to make a gift wrapping bow. How many gift wrapping bows can Nancy make? 9 bows 12 bows 18 bows 24 bows

Answers

Answer: WHATS THE ANSWER???!?!

Step-by-step explanation:

Answer:

thanks for the free points. btw it is 18

Step-by-step explanation:

Let b= 7.
3b+-4


Please help

Answers

3b+-4
3(7)+-4
21+-4
=17
Hope this helps have a nice day! ;$

Answer:

b=40/63

Step-by-step explanation:

b= 7. 3b+-4

multiply both sides by 10

b*10=7.3b*10-4*10

refine

b*10=7.3b-40

subtract 7.3b from both sides

b*10-7.3b=7.3b-40-7.3b

simplify

-63b=-40

divide both sides by -63

-63b/-63=-40/-63

simplify

b=40/63

sorry for the lengthy explanation

hope this helps :) have a nice day !! (please let me know if this was wrong)

paula is draining her fish tank. when she starts draining it, the height of the water is 33 cm. six mintues later, the height of the water is 15 cm.
If the water continues to drain at this rate until it is empty, how many total minutes will it take Paula to drain her fish tank?

Answers

33-15=18cm of water was gone in 6 min. so it’s draining 3cm/min.
She still has 15cm left to drain at 3cm/min. Is 5 more min. Total=11min.

Or 33 cm divided by 3 min=11min

yes the answer is 11 minutes

help 6x+6y=-6
x=-5y-13

Answers

Answer:

what do you need help on?

Step-by-step explanation:

stop saying yall gon help me and not help me......
but anyays can sum1 go to meh acc nd help pls ill give brainlist

Answers

Answer:

Sure thing. Which question do you need help with? ill do the best i can.

I will try okay! :) but sorry if I can’t

which graph showed exponential growth

Answers

it should be Cordinate one

A circular coin is made from steel.
Steel has a density of 8.05g/cm3.
If the coin has a radius of 10mm
and depth of 3mm, find the mass of
the coin (to 2 dp).

Answers

Answer:0.94

Step-by-step explanation:

V=pir^2h=pi * 1^2 * 0.3 = 0.94248

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