The sum of five consecutive multiples of 4 is 20.Find the smallest integer.

Answers

Answer 1

Answer:

The smallest integer is -4.

Step-by-step explanation:

Let the smallest integer be x.

Since the integers are all multiples of 4, they are

=> x, x+4, x+8, x+12 and x+16

=> x + x+4 + x+8 + x+12 + x+16 = 20

=> 5x + 40 = 20

Subtract 40 from both sides of the equation

5x +40 - 40 = 20 - 40

5x = -20

Divide both sides by the coefficient of x(which is 5)

[tex]\frac{5x}{5} = \frac{-20}{5}[/tex]

x = -4

∴ the smallest integer is -4.

Hope this helps!!!


Related Questions

please help asap!!

thanks!!​

Answers

Answer:

See Explanation

Step-by-step explanation:

1:A

2:B

3:A

4:A

5:B

6:B

What is the greatest common factor of 50, 42, and 30?

Answers

Answer:

2

Step-by-step explanation:

[tex]50 = 2 \times 5 \times 5 \\ \\ 42 = 2 \times 3 \times 7 \\ \\ 30 = 2 \times 3 \times 5 \\ \\ common \: factor \: = 2 \\ \\ gcf = 2[/tex]

In slope-intercept form what is m=-2, b=8/5

Answers

Answer:

y = -2x + 8/5

Step-by-step explanation:

Which graph shows a linear function?

Answers

Answer:

There is no graph but the graph that would have a straight line

Answer:

Whichever line is straight and does not have x repeat itself is considered linear.

Step-by-step explanation:

A linear function can be shown by using the equation y=mx+b, in which m is the slope and b is the y-intercept. A linear function must be able to follow this formula in order to be considered linear. An exponential equation, quadratic equation, or other equation will not work.

Chances are, if the line is straight and the points plotted can be connected within a straight line and not overlap, they are a linear function.

[A function being an equation in which x does not repeat itself, therefore a vertical line up and down is not considered a linear function, however, a horizontal line is.]

There were 110 cupcakes at the school bake sale last year. If they sold 70% of the cupcakes, how many cupcakes did they sell?

Answers

Answer:

77%

Step-by-step explanation:

Danny purchased a large wheel of cheese at the farmer's market.What is the volume of the cheese, to the nearest cubic inch ?

Answers

Answer:

1105.84 in³

Step-by-step explanation:

The volume of the wheel can be obtained using the formular for the volume of a cylinder :

V = πr²h ;

Height, h = 5.5 in

Radius, r = 8 in

V = π * 8² * 5.5

V = π * 64 * 5.5

V = π * 352

Volume of wheel = 1105.8406 in³

Just give me the answer. Don’t need explanation... Write an equation of a cosine function with amplitude 3, a period of π, a phase shift of π/4 to the left, and translated 1 unit up.

Answers

this can be used y=3x+28y(20^2)

f(x) = x^2. What is g(x)?


please answer quick i’ll give brainliest

Answers

Answer:

-x² - 3

Step-by-step explanation:

If a function is concave down, that means the x value is negative.

Hence we know that it should be -x²

The graph is translated 3 units down

Hence:

-x² - 3

Liam used 14 cups of food to feed his four dogs. Each dog got the same amount of food. How much food did each dog get?

Answers

Answer:

3 1/2 cups of food

Step-by-step explanation:

If each dog gets the equal amount of food just divide 14 by 4.

14 ÷ 4 = 3.5

Each dog got three and a half cups of food.

Answer:

each dog got 3.5 cups of food or 3 1/2 cups of food

Step-by-step explanation:

14 divided by 4 is 3.5

Someone help me with this please I will give brainliest

Answers

Answer:

No

Step-by-step explanation:

10 kilograms = 22 pounds

23 kilograms = ? pounds

so for this you would need to cross multiply:

(22 * 23) = 506

(10 * x ) = 10x

--> 506 = 10x

Next step is to isolate the varible (x), to do that you need to divide by 10.

x = 506/10 = 50.6

50.6lbs is more than 50lbs so no it can't get checked out


​hsjebsysgdkbsvehejkebegdhjebebfdsjnebdhdnebeh

Answers

Answer:

​hsjebsysgdkbsvehejkebegdhjebebfdsjnebdhdnebehhwbhakj d

Step-by-step explanation:

today is such a nice day
plus undertale is now on xbox so im really happy about that too
have a peachy day everyone! :)
nyeh heh heh

Answers

Answer:

The ape counsel likes you expect bananas on ur door step tomorrow.

Answer: yes, very much peach lobotomic day

*refers to gae songez by Waterparx*

*If you've never heard of Waterparks then you just diddly darn dangity doodle better go and listen to them right this minute or suffer the consequences*

jk lol

Undertale is the best tho

Step-by-step explanation:

nyeh

heh

heh

Undertale rulez :>

Waterparks co-rulez :>>>

MATH Please help me with this one question please please please

Answers

-3 1/3 , -3 , -1 , - 1/2 ,  0 , 1 , 4 , 21/5 , 5 , 6,

PLS HELPPP I WILL GIVE U A GOOD REVIEW AND BRAILLIETS



Find the slope and the y-intercept of the line in the graph.
6 G
4
3
2
1
0
-1
-2
-4
-5
6
-9
-9 8 7 6 5 4
-2 -1 0 1 2
The slope is
The y-intercept is

Answers

Answer:

slope=1  y-intercept=5

Step-by-step explanation:

there isn't much to it, but if you want me to show my work I will

POINTS

It takes 4.12 gallons of paint to paint a fence.

How much paint is needed for 1/5 of the fence?

i need an exact answer

IF YOU DO A PROPER ANSWER I WILL BRAINLYEST

Answers

Answer:

0.824

Step-by-step explanation:

Answer:

am i good enouph for brainly #1 victory royal

Step-by-step explanation:

Write the function notation for the
above rotation.

Answers

Need to explain more.

Consider the following expression and determine which statement are true.

Answers

Answer:

A and B

Step-by-step explanation:

A is correct because the three terms are x², 5yz, and -8.

B is 100% correct I guarantee it.

C is incorrect because ² is not a coefficient.

D is incorrect because there are three factors in that multiplication term: 5, y, and z.

There are 72 conkers in a bag.
Mo takes of them
Alexa takes .
How many do they have in total?

Answers

Answer:

72

Step-by-step explanation:

What is the sum of the degrees from a diagram with 5 vertices?

Answers

Answer:

540 degrees

Step-by-step explanation:

The sum of the degrees from a diagram with 5 vertices = 540°

Hope this helps:)

Answer:

total interior degrees = 540°

Step-by-step explanation:

total interior degrees = (number of vertices x 180°) - 360°

total interior degrees = (5 x 180°) - 360° = 540°

Can someone help me with this geometry question ty

Answers

Answer:

rectangle

Step-by-step explanation:

Solve 3[-x + (2x + 1)] = x - 1.

Answers

Answer:

x=-2

Step-by-step explanation:

distribute 3

solve

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Answers

I think it’s D or C because the question is focusing on African Americans and those 2 include that.

Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x + y = 3​

Answers

Answer:

y = - 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

3x + y = 3 ( subtract 3x from both sides )

y = - 3x + 3 ← in slope- intercept form

Answer:

y=-3x+3

Step-by-step explanation:

3x+y=3

y=3-3x

y=-3x+3

Over which interval(s) is g(x) = x2 + x - 12 positive?
A. -4 < x < 3
B. X <-4 and x > 3
C. X <-3 and x > 4
D. 3 < x < 4

Answers

Answer:

B.   x < -4  and x > 3

Step-by-step explanation:

Factor and set = to 0

[tex]x^{2} + x - 12\\( x + 4)(x - 3)[/tex] = 0

x = - 4  or x = 3     I call these critical values

The two numbers would divide a number line into 3 intervals.  Pick a value in one of the intervals and put it in the original expression.  If it makes the function positive, then all the values in that interval make the function positive.  If the value you picked makes the function negative, then the values in the other intervals will make the function negative.  Let's pick the value of 0 and substitute it into the function

We get [tex]0^{2}[/tex] + 0 - 12 = -12 which is not positive.  Therefore, all the values between -4 and 3 will make the function negative.  So, the values less than -4 or greater than 3 will make the function positive.  Therefore, B is the correct answer.

Another way to do this problem is to graph the function and see where the graph is above the x-axis.  But, sometimes it is not easy to graph the function.

I need help with this somebody please help!!

Answers

Answer:

answer is:

Circum: 25.13274 cm^2

Area: 50.26548 cm^2

Step-by-step explanation for the CIRCUMFERNCE ONLY:

Original equation for the circumference of a circle:

C=2(pi)r

We will use 3.14 as pi

We know that the diameter of a circle is 2 times the radius, so in order to find the radius all we have to do is divide the diameter by 2.

8/2 = 4

So now we know what the radius is equal to.

4

So now just plug in your numbers to the original equation

2 X (3.14) X 4

25.13274

If we were to round up the answer would be

25.13

Hope this helps!

PLEASE HELP IM CONFUSED. Is this relation a function? Justify your answer.
A. Yes, because every x-value corresponds with a single y-value.

B. Yes, because every x- and y-value is positive.

C. Yes, because the number of x values is the same as the number of y-values.

D. No, because two points with the same y-value have different x-values.​

Answers

Answer:

c

Step-by-step explanation:

i took algebra and i know.

If the sphere shown above has a radius of 8 units, then what is the approximate volume of the sphere? (Use 3.14 for .)

Answers

Answer:  2144

Step-by-step explanation:

v = 4/3pir³

v = 4/3 (3.14) (8)³

v = 4/3 (3.14)(512)

v ≈ 2144

Answer:

2,143.57 cubit units.

Step-by-step explanation:

To find the volume of the sphere, use the formula given below.

Volume = 4/3π r³

Use this formula, the value given for the radius, and 3.14 for  to find the volume.

Volume = 4/3π r³

             ~~ 4/3 (3.14) (8 units)³

             ~~ 2,143.57 cubic units

Therefore, the approximate volume of the sphere is 2,143.57 cubic units.

Find (13x−3)+(−34x−5)

Answers

Answer:

-21x-8

Step-by-step explanation:

(13x-3)+(-34x-5)  

(13x-34x)+(-3-5)

-21x+(-8)=

-21x-8

The volume of a cube is 125 m3.
Which is the area of 1 face?
A. 5.0 m2
B. 10.0 m2
C. 20.8 m2
D. 25.0 m2
E. 41.6 m2

Answers

Answer:

D 25.o m2

Step-by-step explanation:

v = L*w*H

V=5M*5M*5M=125.0M cube

there fore area is L*W

L*W=area squer

a=5*5=25.0m square

Please asap, ill give brainliest..

Answers

Answer:

50 meters

Step-by-step explanation:

Answer:

50 meters

Step-by-step explanation:

The graph shows an intersection at (10, 50)  --> 50 meters in 10 seconds

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