The sum of 3 consecutive integers is 48. What is the smallest of the integers?​

Answers

Answer 1

Answer:

15

Step-by-step explanation:

x+(x+1)+(x+2)= 48

=)3x+3=48

=)3x=45

X=15

Answer 2

The smallest of the integers would be 15.

What are the consecutive numbers?

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of 3 consecutive integers is 48.

We need to find the smallest of the integers.

Let assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 48

Combine the like terms;

3x+3=48

3x=45

X=15

Hence, the smallest of the integers would be 15.

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Related Questions

Does 1 2 and 5 make a right triangle

Answers

Answer:

Yes.

Step-by-step explanation:

If the catetes are 5 and 12, then the hypotenuse is 13, and it is a special right triangle.

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.

Which equations could represent Relationship B?

Select each correct answer.


A.y = 1.4x

B.y=12x

C.y = 2.2x

D.y = 3x

Answers

I think it’s C: 2.2x (I’m so sorry if I’m wrong)

Which is not a pair of congruent angles in the diagram below?
angles BCD and BAD
angles ABD and BDC
angles BDA and DBC
angles ABD and BAD
:)

Answers

Answer:

angles ABD and BAD

Answer:

angles ABD and BAD

Step-by-step explanation:

can anyone answer this?

Answers

Answer:

it is J

Step-by-step explanation:

Please help me ffuufgigjgjfufjdjfjckcmdhsndjf

Answers

Answer:

1/16

Step-by-step explanation:

I usually provide explanations, but I'm pretty sure you need an answer fast. Tell me if you need an explanation!

Answer:

1/16

Step-by-step explanation:

please mark me brainliest

Gavin and Ethan are training for a race. Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin. What is the total distance that Gavin and Ethan ran last week? Express your answer in meters.

Answers

If Ethan ran twice as far as Gavin then he ran 14 kilometers. 7*2=14. And then you add 7 to 14 which gives you 21. so they ran a total of 21 kilometers

The total distance that Gavin and Ethan ran last week is 21000 meters.

Given that, Gavin and Ethan are training for a race.

What is total?

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin.

Number of kilometers Ethan ran =2×7

= 14 kilometers

= 14×1000

= 14,000 meters

Now, 7 kilometers = 7000 meters

Total =14000+7000

= 21000 meters

Therefore, the total distance that Gavin and Ethan ran last week is 21000 meters.

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A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.M. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.2 gallons. What is the average rate of flow of the gasoline into the gas tank?

Answers

Answer:

2.55gallons.min

Step-by-step explanation:

given that the initial time before pumping is 3:40 p.M.

after pumping the time reads 3:44, hence he use 4 min to fill his tank

time taken=4 min

also given is that had pumped 10.2 gallons

the capacity of tank= 10.2gallon

Then the average rate of pump is

average rate= capacity of tank/time taken

average rate= 10.2/4min

average rate=2.55gallons.min

is the line liner?
someone help i need this to pass

Answers

Answer:

yes

Step-by-step explanation:

A grocery delivery service has 22 members. Each member pays monthly dues of $12.80
on the first day of the month,9 members paid
their dues. The remaining members paid
their dues on the third day of the month. How much
money was
collected in dues on the
(third days of the month?
A.115.20
B.232
C.166.40
D.131.84

Answers

Answer:

C

Step-by-step explanation:

If 9 members paid on the first day, this means they did not pay on the third day

The remaining people (everyone but the 9) paid on the third day

Therefore we must subtract to find out how many members paid on the third day

22 - 9 = 13

Each of the 13 members paid $12.80 which means we must multiply

13 × 12.80 = 166.40

In total, the grocery store collected $166.40 on the third day of the month

The answer is C. 166.40

22 - 9 = 13 ( members who paid on the third)
13 x $12.80 = $166.40

Need help pls Need it

Answers

b
hope this helps!!!!!

1. Find f(3) for
the function
below.
f(x) = 4^x

Answers

Answer:

64

Step-by-step explanation:

f(x) = 4^x,

When x = 3,

=> f(3) = 4^3

= 4 * 4 * 4

= 64

Answer:

f(3) = 64

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 4³ = 64

Solve the equation.
m2 = 43

Answers

Is that 2m=43 or m^2=43??

If 2m=43 then...

m=43/2

m=21.5

If m^2=43 then...

m=√43

Answer:m=21.5

Step-by-step explanation:

Alex has twice as much money as Jennifer. Jennifer has $6 less than Shannon. Together they have $54. How much money does each have?

Answers

Answer:

Alex has twice as much money as Jennifer.

a = 2j

Jennifer has $6 less than Shannon.

j = s-6

j+6 = s

All together the three friends have $54.

a + j + s = 54

Replace a and s

2j + j + (j+6) = 54

4j = 54 - 6

4j = 48

j = 48/4

j = 12  

Jennifer has $12

Alex= 2*12 = $24

Shannon = 24+12+s = 54

= 36+s = 54

s = 18

Shannon has $18

.
A baker is making cakes for a party. She uses 2 1/4 cups of flour for each cake. If she has 11 cups of flour, how many cakes can she make?

Answers

The baker can make 4 8/9 cakes or The baker can make 4 full cakes and 8/9 of a cake

11 cups of flour divided by 2 1/4 cups of flour per every cake = 4 8/9 cakes

PLZ HELP It’s due soon

Answers

Answer:

30

Step-by-step explanation:

Answer:

Oh thats easy its $30

Step-by-step explanation:

so for 2 icecreams it costs $6

so if u divide them it would become 1 icecream for $3 so

10 times 3 will be $30

On a coordinate plane, a triangle has points D (negative 2.5, 5), E (0, negative 1), and F (negative 5, negative 1).

What is the y-coordinate of point D after a translation of (x, y) → (x + 6, y – 4)?

D′(3.5,___ )

Answers

Answer:

D = (3.5,1)

Step-by-step explanation:

(-2.5,5) is given

you must do (x+6,y-4)

x y

(-2.5,5)

-2.5+6=3.5

x=3.5

5-4=1

y=1

(3.5,1)

Answer:

(3.5, 1)

Step-by-step explanation:

edg 2021

ASAP please answer correctly is answered right I will mark brainliest.

Answers

Answer:

x=9

Step-by-step explanation:

Please help this test is overdue and I really need to finish it I’ll do brainliest

Answers

Part A : by noon , the weather was 21c

Part B : at sunrise in alaska , the weather was -6c

A. -2 +23 = 21 C

B. -2 x 3 = -6 C

What is the relationship between angles 1, 2, and 3?

Answers

Answer:

The angles opposite each other when two lines cross. In the figure, the 1 and 3 are vertically opposite angles and they are always equals. Same goes for angles 2 and 4. The angles in matching corners when two lines are crossed by another line, called the transversal.

Step-by-step explanation:

1. Complementary Angles

Definition

Complementary angles are two positive angles whose sum is 90 degrees.

Examples

For example, complementary angles can be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two acute angles, like ∠MNP and ∠EFG, whose sum is equal to 90 degrees. Both of these graphics represent pairs of complementary angles.

complementary angles example

Complementary Angles Example

2. Supplementary Angles

Definition

Supplementary angles are two positive angles whose sum is 180 degrees.

Examples

For example, supplementary angles may be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two angles, like ∠MNP and ∠KLR, whose sum is equal to 180 degrees. Both of these graphics represent pairs of supplementary angles.

supplementary angles example

Supplementary Angles Example

What is important to note is that both complementary and supplementary angles don’t always have to be adjacent angles.

3. Adjacent Angles

Definition

Adjacent angles are two angles in a plane that have a common vertex and a common side but no common interior points.

Examples

Angles 1 and 2 are adjacent angles because they share a common side.

adjacent angles examples

Adjacent Angles Examples

And as Math is Fun so nicely points out, a straightforward way to remember Complementary and Supplementary measures is to think:

C is for Corner of a Right Angle (90 degrees)

S is for Straight Angle (180 degrees)

Now it’s time to talk about my two favorite angle-pair relationships: Linear Pair and Vertical Angles.

4. Linear Pair

Definition

A linear pair is precisely what its name indicates. It is a pair of angles sitting on a line! In fact, a linear pair forms supplementary angles.

Why?

Because, we know that the measure of a straight angle is 180 degrees, so a linear pair of angles must also add up to 180 degrees.

Examples

∠ABD and ∠CBD form a linear pair and are also supplementary angles, where ∠1 + ∠2 = 180 degrees.

linear pair example

Linear Pair Example

5. Vertical Angles

Definition

Vertical angles are two nonadjacent angles formed by two intersecting lines or opposite rays.

Huh?

Think of the letter X. These two intersecting lines form two sets of vertical angles (opposite angles). And more importantly, these vertical angles are congruent.

Examples

In the accompanying graphic, we see two intersecting lines, where ∠1 and ∠3 are vertical angles and are congruent. And ∠2 and ∠4 are vertical angles and are also congruent.

vertical angles examples

Vertical Angles Examples

Together we are going to use our knowledge of Angle Addition, Adjacent Angles, Complementary and Supplementary Angles, as well as Linear Pair and Vertical Angles to find the values of unknown measures.

Angle Relationships – Lesson & Examples (Video)

32 min

Introduction to Angle Pair Relationships

00:00:15 – Overview of Complementary, Supplementary, Adjacent, and Vertical Angles and Linear Pair

Exclusive Content for Member’s Only

00:06:29 – Use the diagram to solve for the unknown angle measures (Examples #1-8)

00:19:05 – Find the measure of each variable involving Linear Pair and Vertical Angles (Examples #9-12)

Practice Problems with Step-by-Step Solutions

Chapter Tests with Video Solutions

The required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.


Given that,
To determine the relationship between angles 1, 2, and 3.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Angles 1 and 2 are remote interior angles while angle 3 is a remote exterior angle. So there is a property of a triangle in that the sum of the remote interior angles is equal to the remote exterior angle.
∠1 +∠2 = ∠3.

Thus, the required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.

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I need help on this one too please and thank you

Answers

completar y angles= add up to 90 degrees
so it’s C because it needs to equal 90

BD = 8 and AB = 4 Find AD

Answers

Answer:

AD is 12

Step-by-step explanation:

Answer:

AD=12

Step-by-step explanation:

AB=4

BD=8

AD=AB+BD

AD=4+8

AD=12

Hope this helps :)

A motorist drives at a constant rate of 60 kph. If his destination is 240 kilometers away from his
starting point, how many hours will it take him to reach the destination? Write a rule that best describes
the problem and draw its graph using any method.​

Answers

Answer:

4 hours

Step-by-step explanation:

240/60=4

The rule that best describes the problem is time = 240/60.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A motorist drives at a constant rate of 60 kph and his destination is 240 kilometers away from his starting point.

We know, Distance = time×speed.

time = distance/speed.

time = 240/60.

time = 4 hours.

speed×time = distance.

60t = 240.

60x = 240.  (x = t).

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What is the slope of the linear function y= - 5/3 - x

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 3 .

Step-by-step explanation:

brainliest please

The area of a rectangle is x^2 - 6x - 7 with a width of x - 7. What is the lenght?

Answers

[tex] {x}^{2} - 6x - 7 = (x - 7)(x + 1) \\ [/tex]

[tex]width = (x - 7)[/tex]

So

[tex]length = (x + 1)[/tex]

Just it...

So we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

A high school football team scores a total of 42 points by scoring touchdowns and field goals. Suppose each field goal is worth 3 points and each touchdown is worth 7 points.
a. Let x represent the number of field goals and y represent the number of touchdowns. Write an equation that models the total points scored in the game.
b. Identify and interpret the x- and y-intercepts.

Answers

Answer:

a) 3x+7y

Step-by-step explanation:

Sorry I don't know the answer to question B

Hope this helps

The equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A high school football team scores a total of 42 points by scoring touchdowns and field goals.

From the data given in the question:

42 = 3x + 7y

Here x represents the number of field goals and y represents the number of touchdowns.

For x-intercept:

Plug y = 0

3x = 42

x = 14

For y-intercept:

Plug x = 0

7y = 42

y = 6

Thus, the equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.

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The graph below represents the total shipping cost of x items for four different companies.

Shipping Charges
A graph has number of items on the x-axis and shipping cost in dollars on the y-axis. Line W goes through points (0, 5) and (2, 13). Line U goes through (0, 12) and (3, 16). Line Y goes through (0, 10) and (2, 12). Line Z goes through (0, 0) and (2, 4).

Which list places the companies in order from the steepest slope to the least steep slope?
W, Z, U, Y
U, Y, W, Z
W, Z, Y, U
U, Y, Z, W

Answers

Answer:

Steepest to most gentle: W, Z, U, Y

Step-by-step explanation:

Answer: WZUY

Step-by-step explanation: On Edgenuity!!!!!!!!!!!

combine like terms to create an equivalent expression 6(1/2 w - 3/4)

Answers

1/2w=.5 -3/4=.75
6 x .5w=3w
6 x -.75=4.5

3w
—— =w
3



-4.5
—— =-1.5
3


W=-1.5

A piece of cable 1/2 cm long weighs 25 grams. What will a 1 1/2cm length of the same cable weigh?

Answers

Answer:

75 grams

Step-by-step explanation:

1/2 cm = 25 grams

(1 1/2) /( 1/2) = 3 times as much

1 1/2 cm = 3 x 25 75 grams

rationalise the denominator 20 over root 2

Answers

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{20}{\sqrt{2} }[/tex]

To rationalise the denominator multiply the numerator and denominator by [tex]\sqrt{2}[/tex], that is

[tex]\frac{20(\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }[/tex]

= [tex]\frac{20\sqrt{2} }{2}[/tex]

= 10[tex]\sqrt{2}[/tex]

A gym's membership in 2012 was 9,300. The current membership is 2,800. Which expression can be used to find the
percent of change?

Answers

Answer:

Find the difference between the two, divide by the years, and should get the percent of change

Step-by-step explanation:

The change in percentage is 69.89%.

Given that, a gym's membership in 2012 was $9,300.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The current membership is $2,800.

We know that, the percentage change = (New value - Original value)/Original value × 100

Now, the percentage change = (9300-2800)/9300 × 100

= 6500/9300 × 100

= 0.6989 × 100

= 69.89%

Therefore, the change in percentage is 69.89%.

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