two consecutive even integers have a sum of 346. Find the smailler of these two numbers

Answers

Answer 1
Assume two numbers are n and n+2

Then n+ n+2 = 346 -> 2n = 344 -> n= 172

So the smaller one is 172, another one is 174
Answer 2

Answer:

Smallest number = 172

Step-by-step explanation:

Two consecutive even integers have a sum of 346.

Let x be the smallest number.

We have other number = x + 2

We also have

           x + x + 2 = 346

           2x + 2 = 346

           2 x = 344

            x = 172

Smallest number = 172, Other number = 172 + 2 = 174

Smallest number = 172


Related Questions

Solve 4w = 2w - 12. Plis help me with that

Answers

W= -6

4w=2w-12
4w-2w=2w-12-2w
2w/2=-12/2
w=-6

Solve for W and make sure w is isolated
Hello there!

Solve for w;
4w = 2w - 12
First, we need to establish that our primary goal is to get w on one side by itself.
Subtract 2w from both sides.
4w - 2w = 2w
2w - 2w = 0
2w = -12
Divide both sides by 2 to solve for w.
2w / 2 = w
-12 / 2 = -6
w = -6

I hope this helps!

Xavier is two years more than twice as old as Yoko. The sum of their ages is 86. How old is Xavier?

Answers

Answer :Xavier is 56
Xavier is 2+2x of Yoko when you put 28 in x
28 times 2
56 +2
58
58+28
86

What is the best name for angle Y?

Answers

the answer to the question is B

A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.

Answers

Use the distance formula to find the length of the sides, then add them up to find the perimeter.

[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For points in the form of (x1, y1), (x2, y2).

(-1, 2), (3, 1)

[tex]\sf d=\sqrt{(3+1)^2+(1-2)^2}[/tex]

[tex]\sf d=\sqrt{(4)^2+(-1)^2}[/tex]

[tex]\sf d=\sqrt{16+1}[/tex]

[tex]\sf d=\sqrt{17}[/tex]

(3, 1), (7, 2)

[tex]\sf d=\sqrt{(7-3)^2+(2-1)^2}[/tex]

[tex]\sf d=\sqrt{(4)^2+(1)^2}[/tex]

[tex]\sf d=\sqrt{16+1}[/tex]

[tex]\sf d=\sqrt{17}[/tex]

(7, 2), (-1, 2)

[tex]\sf d=\sqrt{(-1-7)^2+(2-2)^2}[/tex]

[tex]\sf d=\sqrt{(-8)^2+(0)^2}[/tex]

[tex]\sf d=\sqrt{64+0}[/tex]

[tex]\sf d=\sqrt{64}=8[/tex]

So the perimeter will be:

[tex]\sf 8+\sqrt{17}+\sqrt{17}\approx\boxed{\sf 16.25}[/tex]

Answer:

Step-by-step explanation:

which rational number must be added to3\7to get -3\4 ?

Answers

[tex]\frac{3}{7}+x=-\frac{3}{4}\\\\\frac{3}{7}(\frac{4}{4})+x=-\frac{3}{4}(\frac{7}{7})\\\\\frac{12}{28}+x=-\frac{21}{28}\\\\x=-\frac{21}{28}-\frac{12}{28}\\\\x=-\frac{33}{28}=1\ \frac{5}{28}[/tex]

Find the product of 6, m and 5. Then, identify the coefficient.

Answers

The product of 6 m and 5 would be 30m. 
The coefficient is 30, since the coefficient is the number next to the variable.

find the apporximate side length of a square game board with an area of 151 in2

Answers

Final answer:

To find the approximate side length of a square game board with an area of 151 in², take the square root of 151.

Explanation:

To find the approximate side length of a square game board with an area of 151 in2, we can use the formula for the area of a square, which is length x width. Since all sides of a square are equal, we can represent the side length as 's'. So, s x s = 151. To find the side length, we can take the square root of 151, which is approximately 12.29 inches. Therefore, the approximate side length of the square game board is 12.29 inches.

Write the decimal number in standard form

Six and five hundred and sixteen ten-thousandths

Answers

Final answer:

The decimal number 'six and five hundred and sixteen ten-thousandths' in standard form is 6.0516, which combines the whole number six with the fractional part written as a decimal. Scientific notation is not necessary here since the number is already reasonably simple.

Explanation:

To express the number six and five hundred and sixteen ten-thousandths in standard form, you start by identifying the whole number and the fractional part. The whole number is six, which is straightforward. The fractional part is five hundred and sixteen ten-thousandths, which refers to 516 over 10000. In decimal form, this is written as 0.0516. Combining the whole number with the fractional part gives us the decimal 6.0516. This is the number in standard notation.

Scientific notation simplifies the expression of very large or very small numbers. For example, a large number like 306,000,000 can be written as 3.06 × 108, and a small number like 0.000028 can be expressed as 2.8 × 10-5. However, the number 6.0516 is already concise enough that converting it to scientific notation isn't necessary.

is 4/2 an integer?
I am stumped, so that is why I want to know

Answers

 Yes, it is considered an integer because it is equal to a number which can be written without a decimal point.
An interger is any whole number with no decimal places.

This means that you can divide 4 by 2 to get 2

2 is a whole number thus 4/2 is an interger.

Hope this helps! :)

Solve the equation. 3.1x + 4.6 = 10.8

Answers

x = 2

3.1x + 4.6 = 10.8

3.1x + 4.6 - 4.6 = 10.8 -4.6
3.1x = 6.2
3.1x/3.1 = 6.2/3.1
x=2
3.1x+4.6=10.8
3.1x+4.6(−4.6)=10.8(−4.6)
3.1x=6.2

3.1x/3.1=6.2/3.1

x=2

3.1(2)+4.6=10.8

please solve x+9.72=21

Answers

11.28 because you need to get the variable by itself so you subtract 9.72 from 21
11.28=x that is the answer all you have to do is subtract 9.72 on both sides 

h(x)=|x+2| Find h(-10)

Answers

Plugging in,
H(10) = |-10+2|
         = |-8|
         = 8
The answer is 8.

it takes trevon ten hours to clean an attic. cody can clean the same attoc in seven hours.find how long it would take them if they worked together.

Answers

(17/70)x = 70/70(17x)/70 = 70/7017x = 70x = 70/17x ≈ 4.1176
Final answer:

If Trevon takes 10 hours to clean the attic and Cody takes 7 hours to clean the same attic, it would take them approximately 4.11 hours to clean the attic if they worked together.

Explanation:

If Trevon takes 10 hours to clean the attic and Cody takes 7 hours to clean the same attic, we can find the rates at which they clean per hour. Trevon cleans at a rate of 1/10 of the attic per hour, and Cody cleans at a rate of 1/7 of the attic per hour. To find out how long it would take them if they worked together, we add their rates: 1/10 + 1/7 = 17/70. This means that together, they can clean 17/70 of the attic per hour.

To find out how long it would take for them to clean the whole attic, we divide 1 (representing the full attic) by their combined rate: 1 / (17/70) = 70/17 = 4.11 hours (rounded to the nearest hundredth).

Learn more about Time taken to clean attic here:

https://brainly.com/question/30967695

#SPJ2

Two systems of equations are shown below. The first equation in System B is the original equation in system A. The second equation in System B is the sum of that equation and a multiple of the second equation in System A.


A. 1/2x + 3y = 11 → 1/2x + 3y = 11
5x − y = 17 → 15x − 3y = 51
15 1/2x = 62
B. 1/2x + 3y = 11
151/2x = 62
Answers
A=(3,4)
B=(3,5)
C=(4,3)
D=(5,3)

Answers

my answer is C 4,3 hope this helps

Answer: C (4,3)

Step-by-step explanation:

The weight of a sack of potatoes was more than 11 pounds. Shana wants to write an inequality for the weight of the sack of potatoes. What constant should she use in the inequality?

Answers

Answer:  The constant that Shana should use in the inequality is 11.

Step-by-step explanation:  Given that the weight of a sack of potatoes was more than 11 pounds and she wants to write an inequality for the weight of the sack of potatoes.

We are to find the constant that she should use in the inequality.

Let x pounds represents the weight of the sack of potatoes.

Then, according to the given information, the inequality can be written as

[tex]x>11.[/tex]

Thus, the required constant that Shana should use in the inequality is 11.

Nina has 5 bills and 10 bills in her wallet. She has a. total of 7 bills with a value of $55. How many of each type of Bill does she have?

Answers

Answer:

4 tens3 fives

Step-by-step explanation:

If all were $5 bills, the total would be $35. It is $20 more than that. Each time a $5 bill is replaced by a $10 bill, the total goes up $5. Since the total is $20 higher, there must be $20/$5 = 4 such replacements.

There are 4 $10 bills and 3 $5 bills.

20 pts
Score Number of Students 0 1 1 2 2 5 3 3 4 6 5 7 6 9 Based on the table, what is the mean baseball score?

Answers

The mean baseball score is 3.8571428571429. 

The sum of these numbers is 54. 54 divided by 14 is  3.8571428571429.

Answer:

3.8

Step-by-step explanation:

the last one is correct but shorten it to 3.8 so it doesnt look like u used a calculator

solve for y 7y - 6y - 10 = 13

Answers

7y-6y-10=13

7y-6y = y

y-10=13

add 10 to both sides

y = 23

7y-6y = 1y and 1=y≡

...

An arithmetic sequence has a first term of 6.3 and a second term of 8.8 Which term has a value of 78.8?

Answers

First term [ a ] = 6.3

Common difference [ d ] = 8.8 - 6.3 = 2.5 

Using general term formula,

[tex]t_{n} = a + (n-1)d[/tex]

78.8 = 6.3 + (n-1)*2.5

2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]

n-1 = 29

n = 30

Hence, 78.8 is the 30th term in the arithmetic series.

how to find the density of a unknown liquid, the volume is 12.0mL and the mass is 6g.

Answers

mass divided by volume

Final answer:

To calculate the density of an unknown liquid given its mass of 6g and volume of 12.0mL, divide the mass by the volume, resulting in a density of 0.5 g/mL.

Explanation:

To find the density of an unknown liquid with a volume of 12.0mL and a mass of 6g, you need to use the formula for density which is density = mass/volume. Given the mass is 6g and the volume is 12.0mL, you substitute these values into the formula to calculate the density.

Therefore, the calculation would be: density = 6g / 12.0mL = 0.5 g/mL.

This states that the density of the unknown liquid is 0.5 g/mL, which means for every milliliter of this liquid, it weighs 0.5 grams. Understanding the density of a substance can be crucial in identifying it since density is a characteristic property.

mr. lee had a bag of red beans and a bag of black beans. 20% of the total number of beans were black, and there were 180 ounces more red beans than black beans. he transferred some red beans to the bag containing black beans, so that, the bag now contained 30% of the total number of beans. How many ounces of beans were there in the bag of mixed beans

Answers

r = b+180 
b = .2(r+b) 
so, 
b = 60 
r = 240 
Total beans = 300 oz 

After the transfer, 30% = 90 oz

Final answer:

After finding the total weight of beans based on the given percentages and difference in weight between red and black beans, we determine that there are 90 ounces of beans in the mixed bag.

Explanation:

The question asks us to find out how many ounces of beans are now in the bag of mixed beans, given certain percentages before and after mixing. We know that initially, 20% of the total beans are black, and the rest are red. After Mr. Lee transferred some red beans to the bag containing black beans, the bag contained 30% of the total number of beans.

To solve this, let's denote the total number of beans by T, the number of black beans by B, and the number of red beans by R. According to the information provided:

20% of T is black beans: B = 0.20TThere are R = B + 180 oz of red beans.After transferring, the mixed bag contains 30% of T.

First, we use the initial conditions to write an equation for the total number of beans T. Since R is 180 ounces more than B:

T = B + R

T = B + (B + 180)

T = 2B + 180

Given that B is 20% of T, we can also write this as:

T = 2(0.20T) + 180

T = 0.40T + 180

We can now solve for T:

T - 0.40T = 180

0.60T = 180

T = 180 / 0.60

T = 300 ounces

Since we know that the mixed bag contains 30% of the total, we calculate 30% of 300 ounces:

30% of T = 0.30 x 300

30% of T = 90 ounces

Therefore, after transferring, there are 90 ounces of beans in the mixed bag.

Plz Someone Help Me.
I got to pass this piece of homework to school tomorrow.

Answers

what grade level is this i think i know the answer 

90% of students at a university use a backpack, while the rest do not. Of all the students, 50% carry their laptops with them and 5% carry neither a backpack nor laptop. What percentage of students carry their laptops and use a backpack?

Answers

90% of 100 = 90
50% of 90 = 45
5% of 45 = 2.25
The answer is 2.25
Final answer:

The percentage of students who carry their laptops and use a backpack is 45%.

Explanation:

To find the percentage of students who carry their laptops and use a backpack, we need to subtract the percentage of students who carry neither a backpack nor laptop from the percentage of students who carry their laptops.

Given that 5% carry neither a backpack nor laptop, we can subtract this from the 50% who carry their laptops to find that 45% of students carry their laptops and use a backpack.

Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$ is divided by 7?

Answers

[tex]\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}[/tex]

[tex]a^{81}\equiv1^{81}\equiv1\pmod7[/tex]

[tex]b^{91}\equiv2^{91}\pmod7[/tex]

[tex]2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7[/tex]
[tex]8\equiv1\pmod7[/tex]
[tex]2\equiv2\pmod7[/tex]
[tex]\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7[/tex]

[tex]c^{27}\equiv6^{27}\pmod7[/tex]

[tex]6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7[/tex]

[tex]\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7[/tex]

Answer:

5 (mod 7)

Step-by-step explanation:

Write two decimal that are equivalent to2.50

Answers

2.5 and 2.500 could be alternative ways of writing this decimal although they will be equivalent to one another.....

Hope this helped

how would you simplify -2+3i/-3-2i (im doing conjugates in math right now)

Answers

[tex] \cfrac{-2+3i}{-3-2i}= \\ \\ \\ \cfrac{(-2+3i)(-3+2i)}{(-3-2i)(-3+2i)}= \\ \\ \\ \cfrac{6-4i-9i+6i^2}{9-4i^2}= \\ \\ \\ \cfrac{6-13i-6}{9+4}= \\ \\ \\ \cfrac{-13i}{13}=-1i [/tex]

hope this helps
Final answer:

To simplify -2+3i/-3-2i, multiply both the numerator and denominator by the conjugate of the denominator (-3+2i).

Explanation:

To simplify -2+3i/-3-2i, we can multiply both the numerator and denominator by the conjugate of the denominator, which is -3+2i. This will help us eliminate the imaginary terms in the denominator.

Multiplying the numerator and denominator, we get:

(-2+3i)(-3+2i) / (-3-2i)(-3+2i)

Expanding and simplifying:

(6i+4i^2-9+6i) / (9+4)

Combining like terms:

(-9+12i+4i^2) / 13

Since i^2 is equal to -1, the expression becomes:

(-9+12i-4) / 13

Combining like terms:

(-13+12i) / 13

Therefore, the simplified form of -2+3i/-3-2i is (-13+12i) / 13.

The two lines, A and B, are graphed below: Line A is drawn by joining ordered pairs negative 3,18 and 9, negative 6. Line B is drawn by joining ordered pairs negative 5, negative 2 and 8,17 Determine the solution and the reasoning that justifies the solution to the systems of equations. (−4, 6), because both the equations are true for this point (2, 8), because the graph of the two equations intersects at this point (2, 8), because neither of the two equations are true for this coordinate point (−4, 6), because the graph of the two equations intersects the x-axis at these points


Answers

The solution of the linear equations that are written in this item can be calculated by locating the point at which these lines intersect. Fortunately enough in this item, we are directly given with the graphs and their intersection.

Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point. 

The answer is therefore the second choice. 

Answer:

B. (2,8) because the graph of the two equations intersects at this point.

Step-by-step explanation:

When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long. what was the approximate percentage change in her length?

Answers

26.25/20.5 * 100% = 128%
128% - 100% = 28%

Answer:

28% and she increased by 5.75 inches. Hope this helped

Step-by-step explanation:


44 points

The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today?

Answers

he makes 150 plus 15% of what is sold

 so 150 + 0.15x has to equal at least 450

 

 so the correct answer is B to find out the total he as to sell

 

You do Time4Learning to?

Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram ABCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).

What formula can he use to determine the distance from point C to point D?

Answers

The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = [tex] \sqrt{( x_{1}- x_{0}) ^{2}+ ( y_{1}- y_{0}) ^{2} } [/tex]
CD = [tex] \sqrt{(a-0)^{2}+ (b-b)^{2} } [/tex]

Wrong on apex is is a-0+(b-b)2=a2=a

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