What two consecutive integers have a sum of 75?

Answers

Answer 1

Answer:

37 and 38.

Step-by-step explanation:

Let the smaller integer be x.

Thus, the larger integer is (x+1) since it is consecutive.

[tex]x+(x+1)=75[/tex]

[tex]2x+1=75[/tex]

Subtract both sides by 1:

[tex]2x+1-1=75-1[/tex]

[tex]2x=74[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{74}{2}[/tex]

[tex]x=37[/tex]

To find the other number, simply add 1 to 37 to get 38.

Answer 2

Answer:

37 and 38

Step-by-step explanation:

Let the two consecutive integers be x and x+1

According to the question,

sum of the two consecutive integers is 75

Therefore,

x +(x+1)= 75

=>2x+1=75

=>2x=75-1

=>2x=74

=>x=74/2

=>x=37

So, the two numbers are 37 and (37+1)

=37 and 38


Related Questions

The ratio of boys to girls at Compton is 5:6. If there
are 384 girls, how many boys are there at Compton?

Answers

Answer:

Step-by-step explanation:

5:6

6=384

5=

5×384÷6=320

Boys =302

evaluate 64 1\2 * 10(-2) as a fraction

Answers

Answer:

1/25

Step-by-step explanation:

64^=8

8*1/2=8/2

10^-2=1/100

8/2*1/100

1/25

This is picture for more preference.

For each of the last three years, your landscaping business has made a profit of $1,200; $2,100; and $3,400. How much total profit did your business make in the last 3 years?

O $5,670

O $6,070

O $6,700

O $7,600

O $7,650​

Answers

Answer:

The answer would be $6,700

What is the solution to the equation 6x+2-9-1?
X--3
X-1
X-1
X-3

Answers

Step-by-step explanation:

6x+2-9-1=0

6x+2-10=0

6x-8=0

6x=8

x=8/6

x=1.3

Please help me with this, I'm struggling. In the figure, P||Q. Find m<1.

Answers

Answer:

y = 58 x= 122

Step-by-step explanation:

y = 180-90-38+6

x=180-y

Answer:

x = 52º

y = 134º

Step-by-step explanation:

x = 90-38

x = 52º

------------------------------

x + y - 6 = 180º

52 + y - 6 = 180º

y = 180 + 6 - 52

y = 134º

Solve for x. Make sure to show all your work. 21=3(x+6)

Answers

Answer:

1 is correct answer

Step-by-step explanation:

[tex]21 = 3(x + 6) \\ 21 = 3x + 18 \\ 21 - 18 = 3x \\ 3 = 3x \\ x = \frac{3}{3} \\ x = 1[/tex]

hope it helped you:)

Show work answer quick will give thank you's etc.

Answers

Answer:

f(3) = -11

Step-by-step explanation:

f(3) means you sub the value that is inside into x

f(3) = -3(3) - 2

     = -9 - 2

     = -11

The goal of solving an equation is to find the value of the _______. *

Answers

Answer:

Unknown

Step-by-step explanation:

Enter the number in scientific notation. 9,140,000

Answers

Step-by-step explanation:

[tex] \huge \: 9,140,000 = 9.14 \times {10}^{6} [/tex]

Captionless Image
(1/3,0)
(0,-2)
(0, 1/3)
(-2,0)

Answers

Answer:

not getting your question

A car travels at a constant speed of 30.0 m/s for 0.8 hr. Find the total distance traveled in km

Answers

Answer:

0.8 hr = 0.8*3600 seconds = 2880 seconds

d = 30*2880 meters = 8640 meters

d = 8.64 km

Step-by-step explanation:

hope this helps

The total distance traveled in km is 86.4 km

From the question,

We are to determine the total distance traveled in km.

First, we will determine the distance traveled in m.

Distance traveled can be calculated using the formula

Distance = Speed × Time

From the given information,

Speed = 30.0 m/s

Time = 0.8 hr = 0.8 × 60 × 60 s

Time = 2880 s

Putting the parameters into the formula, we get

Distance = 30.0 × 2880

Distance = 86400 m

Now, we will convert from meters (m) to kilometers (km)

NOTE: 1000 m = 1km

If 1000 m = 1km

Then,

86400 m will be [tex]\frac{86400}{1000}[/tex] km

[tex]\frac{86400}{1000} =[/tex] 86.4 km

Hence, the total distance traveled in km is 86.4 km

Learn more on calculating distance here: https://brainly.com/question/11934786

what are congruent angles written as?

Answers

Answer:

Congruent angles are two or more angles that have the same measure. In simple words, they have the same number of degrees. It's important to note that the length of the angles' edges or the direction of the angles has no effect on their congruency. As long as their measure is equal, the angles are considered congruent.

Step-by-step explanation:

hope this helps!

Answer:

Look at the attachment below: that is the congruence symbol.

Suppose you want to write Angle A is congruent to Angle B, then you would write it like this :

∠A ≅ ∠B

Or if you want to write Angle F is congruent to Angle Y, then you would write it like this:

∠F≅∠Y

Hope this helps!

what is 8 more than 3 times a number

Answers

Answer:

3(x) + 8

Step-by-step explanation:

x being the number

Answer:

3x+8

Step-by-step explanation:

cause x represents the number

at a dog shelter a, 26-pound bag of dog food will feed 40 dogs. how many dogs would you expect to feed with a 13-pound bag dog food? input only whole number

Answers

Answer:

26÷13=2

13 is half of 26

40÷2=20

13 pound bag of dog food will feed 20 dogs.

Is 13 a rational number? And why

Answers

Answer: A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero if you’re working with a number with a long line of different decimals, then your number is irrational! If you’re working with an integer or a number with terminal or repeating decimals (like 1.333333), then your number is rational! and 13 is a rational number since it can be written as a fraction as well like 13/1

Step-by-step explanation:


The slope of the line that passes through the point (2, 4) and (3,8)

Answers

Answer:

4

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( 8-4)/(3-2)

   = 4/1

  = 4

PLEASE HELP ASAP Hi! Please help me guys!!! This is difficult for me.. :c ~Why might a solution to an inequality not be reasonable? Give an example or a counterexample. Thanks! (I'll give brainly!!)

Answers

Answer:

When the solution is negative

Step-by-step explanation:

One example, let's say you are buying pens and each pen cost 3 dollars and you cannot spend more than 15 dollars, how many pens can you buy?

The inequality would be 3x < 15, so any negative solution is not reasonable because you cannot buy negative pens. The same goes for most real-world problems dealing with time, money, or distance.  

How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?

Answers

Answer:

2 integers (2 and -2)

Step-by-step explanation:

Given the inequality (x²– 4)(x² – 10) < 0, we are to find the number of integers that satisfies the inequality

From (x²– 4)(x² – 10) < 0, (x²– 4)< 0 and (x² – 10) < 0

For (x²– 4)< 0;

x²<4

take the square root of both sides;

√x²<√4

x < ±2

x<2 and x<-2

Similarly for (x²– 10)< 0;

x²<10

take the square root of both sides;

√x²<±√10

x < ±√10

x<√10 and x<-√10

Note that √10 is not an integer but an irrational number. An integer should be a negative or positive whole number. Therefore the amount of integers that satisfies the equation is 2 i.e 2 and -2

Answer:

B - 2

Step-by-step explanation:

Edg2020

Express the fraction
1/3
as a decimal.

Answers

Answer:

Step-by-step explanation:

1/3 as a decimal is 0.3333333 repeating

Answer:

0.33

Step-by-step explanation:

Divide 1 by 3 and you'll get a repeating answer of 0.33333333333. When you round it it'll be seen as 0.33

Use a number line to add the following: 14 + (-11)
Add.

Answers

Adding a negative number is the same as subtracting a positive number.

14 + (-11) = 14 - 11

We start at the point 14 on a number line.

Since we are subtracting, we are going to left -11 units on the number line.

We will land on the point "3"

Best of Luck!

can someone explain to me what's a perfect square???? and how to solve them

Answers

in in math in mathematics a square number or a perfect square is an integer of a square integer

Answer 7+3(2g-6)=-29

Answers

Answer:

g = -3

Step-by-step explanation:

Distribute the 3

[tex]7+(6g-18)=-29[/tex]

Simplify

[tex]6g - 11 = -29[/tex]

Add 11 to both sides

[tex]6g = -18[/tex]

Divide by 6 on both sides

[tex]g= -3[/tex]

Ok so your answer should be -4

Question 3
(-4)² =
How can I solve this

Answers

(-4)^2
A negative base raised to an even power gives us a positive so
4^2
4x4=16

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {( - 4)}^{2} }[/tex]

[tex] \longrightarrow{ \sf{( - 4) \times ( - 4)}}[/tex]

Multiplying or dividing a negative integer by a negative integer gives a positive integer.

[tex] \longrightarrow{ \sf{16}}[/tex]

Hope I helped!

Best regards! :D

I NEED HELP PLEASE PLEASE I NEED HELP BADLY HELP ME !!

Answers

Answer:

x=(y+b)/m

Step-by-step explanation:

y=mx+b

y+b=mx

(y+b)/m=x

What are the solutions to the equation below?


x to the power of 2 minus 3 x minus 10 equal 18

Answers

Answer:

If I understand correctly your question:

X to 1st power = -4, x to 2nd power= 7

Step-by-step explanation:

someone help a-a+b; use a=6 and b=4

Answers

so, you would replace the variables with the numbers. it would be 6 - 6 + 4, then you would just add/subtract as normal. the answer, how i got it, would be 4.

Answer:

4  

If A=6 then you would have to plug that in for a which would become 6-6 which equals 0.Then you would have to plug in 4 for b so you would do 0+4= your answer of 4.

A lawyer has an annual income of $142,500. The income tax she has to pay is 15%. What is the amount of income tax in dollars and cents that the lawyer has to pay?

Answers

Answer:

21,375

Step-by-step explanation:

142,500 multiplied by 15 % is your answer. at least I hope

Multiply (1/6)(-1/2)

Answers

Answer:

the answer is -1/12

Answer:

b is your answer

Step-by-step explanation:

This is because 1/6 divided by -1/2 = -1/12

write each fraction or mixed number as a decimal. 2/5

Answers

Answer:

2 / 5 = 0.4

1 / 5 = 0.2

3 / 4 = 0.75

3 / 5 = 0.6

Write an equation slope-intercept form of each line described. SLOPE 2, Y INTERCEPT 3




SLOPE 3, Y INTERCEPT -7​

Answers

Slope2, y intercept 3
y=-3/2x+3
Slope3, y intercept -7
y=7/3 x-7
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