The sum of three consecutive integers is 267. What is the largest integer?

Step-by-step explanation:

16.2 = 2.7(h+1)

2.7(h+1) = 16.2

(h+1) = 16.2 ÷ 2.7

h+1 = 6

h = 5

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{h = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: \: 16. 2 = 2.7( \: h \: + \: 1)}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \longmapsto{ \sf{2.7(h + 1) = 16.2}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Distribute 2.7 through the parentheses

[tex] \longmapsto{ \sf{2.7 \times h + 2.7 \times 1 = 16.2}}[/tex]

[tex] \longmapsto{ \sf{2.7h + 2.7 = 16.2}}[/tex]

[tex] \tt{Step \: 3 \: }[/tex] : Move 2.7 to right hand side and change it's sign

[tex] \longmapsto{ \sf{2.7h = 16.2 - 2.7}}[/tex]

[tex] \tt{Step \: 4 \: }[/tex] : Subtract 2.7 from 16.2

[tex] \longmapsto{ \sf{2.7h = 13.5}}[/tex]

[tex] \tt{Step \: 5 \: }[/tex] : Divide both sides by 2.7

[tex] \longmapsto{ \sf{ \frac{2.7h}{2.7} = \frac{13.5}{2.7}}} [/tex]

[tex] \tt{Step \: 6 \: }[/tex] : Calculate

[tex] \longmapsto{ \sf{h = 5}}[/tex]

The value of h is 5

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer: C

Step-by-step explanation:

The best person will be an urban planner to help prepare the city for the future. The correct option is C.

In towns, cities, counties, and metropolitan areas, urban and regional planners construct land use plans and programs that support the development of communities, allow for population increase, and renew physical infrastructure.

Given that the city officials in your hometown expect a huge rise in population over the next few years.

The best person to help in preparing the city for the future will be an urban planner.

Therefore, the best person will be an urban planner to help prepare the city for the future. The correct option is C.

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Step-by-step explanation:

AB = AC, so mark the two sides with single tick marks.

m∠ACD = 128°, so label the angle 128°.

∠ACB is supplementary to ∠ACD, so:

m∠ACB + m∠ACD = 180°

m∠ACB + 128° = 180°

m∠ACB = 52°

ΔABC is an isosceles triangle, so m∠B = m∠ACB.

m∠B = m∠ACB

m∠B = 52°

Angles of a triangle add up to 180°, so:

m∠A + m∠B + m∠ACB = 180°

m∠A + 52° + 52° = 180°

m∠A = 76°

Answer:

please give brainlist

Rounding to a certain number of decimal places

If we want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places).

hope this helped

Answer:

The value is [tex]w = 6.7 \%[/tex]

Step-by-step explanation:

Generally the productivity rate is mathematically represented as

[tex]P_r = K * Z[/tex]

Here K is the ha the farmer could harvest in an hour and Z is a typical yield of corn in kg/ha

Now considering 1970

The productivity rate is

[tex]P_r = 0.75 *5000[/tex]

=> [tex]P_r = 3750 \ kg/h [/tex]

Now considering 1940

The productivity rate is given as [tex]P_R = 250 \ kg/h [/tex]

Generally the productivity ratio is mathematically ration is mathematically represented as

[tex]w = \frac{P_R}{P_r} * 100[/tex]

=> [tex]w =  \frac{250}{3750}  * 100[/tex]

=> [tex]w = 6.7 \%[/tex]

Answer:

Rational.

Step-by-step explanation:

Irrational are these.

[tex]\sqrt{2} , \sqrt{5}[/tex] ,π

Yes, the given number is a rational number.

Rational numbers are numbers that can be written in the form p/q, where p and q are integers and q≠0.

Given that, a number 2.4444...

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

Hence, 2.4444 is a rational number.

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Answer: is b andrea

Step-by-step explanation: i just took the same test

Answer:

Thy answer is B my queen

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

In matrix T, the value of t₁₃ will be 7.

A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

We have to given that;

The matrix T is shown.

We know that;

In any matrix,

⇒ The element a₁₁ shows the position of a₁₁ is in first row and first column.

Thus, The element t₁₃ shows the position of t₁₃ is in first row and third column.

So, In matrix T,

⇒ t₁₃ = 7

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Answer:

[tex]\frac{36}{7}[/tex]hours

Step-by-step explanation:

First let's get the flat fee of 14 out of the way, because he wants to earn 86 dollars and the 14 dollar fee is the y intercept.

[tex]86-14 = 72[/tex]

We would then divide 72 by the slope (14 per hour) to see how many hours he has to work:

[tex]72/14 \approx5.14285714286[/tex]

I would just simplify because this decimal isn't exact

[tex]72/14 = 36/7[/tex]

So 36/7 hours

Answer:

1

Step-by-step explanation:

[tex]\frac{\sqrt{48} }{4\sqrt{3} }=\frac{\sqrt{16} }{4}=\frac{4}{4}=\frac{1}{1}=1[/tex]

Answer:

78

Step-by-step explanation:

She is driving 78 miles per hour because if you take the miles she drove, and the amount of time she drove, and divide them, you get 78 :)

Answer:

3

Step-by-step explanation:

Each of the lines lengths multiply by 3.

Answer:

Total amount of fat = 92 grams

Step-by-step explanation:

Given:

Item                           Amount of fat  (in gram)

Hamburger                              24

Chicken sandwich                   13

Fries                                         30

Onion rings                             25

Find:

Total amount of fat

Computation:

Total amount of fat = [Hamburger + Chicken sandwich + Fries + Onion rings]

Total amount of fat = [24 + 13 + 30 + 25] grams

Total amount of fat = 92 grams

Answer:

2 4/5 and 3 2/3

Step-by-step explanation:

find how many times the denominator can go into the numerator the left over numbers are now your second part of the fraction going with the whole number

Answer: 27.5 miles per hour

Step-by-step explanation: 70 - 42.5 = 27.5

Answer:

800

Step-by-step explanation:

Answer:

67thnhttbny

Step-by-step explanation:

An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The following represents the items bought

Each bag has g gupples and one tetra.

She also bought one box of fish food that cost d dollars.

The expression that represents the items in a bag will be;

bag = g + 1

So, the total spent on fish food is:

2(g + 1)

Fish food

A box costs d dollars.

This means that, the total amount Ms. Wilson spent in the store is 2(g+ 1) + d

An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.

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Answer:

B. [tex] -\frac{3}{2} [/tex]

Step-by-step explanation:

Rate of change/slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use the coordinate pairs of any two points on the slope/line.

Let's use the following coordinates pairs:

[tex] (-2, 4) = (x_1, y_1) [/tex]

[tex] (0, 1) = (x_2, y_2)

Plug in the values into the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]:

[tex] m = \frac{1 - 4}{0 - (-2)} [/tex]

[tex] m = \frac{-3}{0 + 2} [/tex]

[tex] m = \frac{-3}{2} [/tex]

[tex] m = -\frac{3}{2} [/tex]

Answer:

T

Step-by-step explanation:

T is the vertex because vertex is the point from which the arms of any angle form.

Answer:

y = 8

Step-by-step explanation:

Step 1: Write out equation

13 + 3y = 37

Step 2: Subtract 13 on both sides

3y = 24

Step 3: Divide both sides by 3

y = 8

Answer:

y=8

Step-by-step explanation:

37-13 = 24

3y=24

3/24=8

y=8

Answer:

16 cms.

Step-by-step explanation:

The length of each side = 40 / 4 = 10 cm (as the 4 sides of a rhombus are congruent).

If we draw the other diagonal we form 4 right angled triangles (another property of the rhombus - diagonals bisect each other at tight angles. ).

The side of the rhombus is the hypotenuse of the right triangle.

So if we consider one triangle:

10^2 = 6^2 + x^2   where x is half the length of the other diagonal.

x^2 = 10^2 - 6^2

x^2 = 100 - 36 = 64

x = 8 cm.

So the diagonal is 16 cms long.

Answer:

  -4x^2 -3x -5

Step-by-step explanation:

If you eliminate parentheses and collect terms, you get ...

  -4x^2 +2x -5(1 +x)

  = -4x^2 +2x -5 -5x

  = -4x^2 +x(2 -5) -5

  = -4x^2 -3x -5

Answer:

y = 4

RS = 35

ST = 26

Step-by-step explanation:

Given:

RS = 8y + 3

ST = 5y + 6

RT = 61

Required:

a. Value of y

b. Numerical lenght of RS and ST

SOLUTION:

a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:

[tex] RS + ST = RT [/tex]

[tex] (8y + 3) + (5y + 6) = 61 [/tex] (substitution)

Solve for y

[tex] 8y + 3 + 5y + 6 = 61 [/tex]

Combine like terms

[tex] 8y + 5y + 3 + 6 = 61 [/tex]

[tex] 13y + 9 = 61 [/tex]

Subtract 9 from both sides

[tex] 13y + 9 - 9 = 61 - 9 [/tex]

[tex] 13y = 52 [/tex]

Divide both sides by 13

[tex] \frac{13y}{13} = \frac{52}{13} [/tex]

[tex] y = 4 [/tex]

b. RS = 8y + 3

Plug in the value of y

RS = 8(4) + 3 = 32 + 3

RS = 35

ST = 5y + 6

Plug in the value of y

ST = 5(4) + 6 = 20 + 6

ST = 26

Answer:

Guy above me is Wrong its 14

Step-by-step explanation:

Answer:

The possible number of CDs she could buy is 1, 2, and 3.

Step-by-step explanation:

First, you have to make an equation to solve to find the answer(s):

1.) 80 - (18 · 1) ≥ 20

80 - 18 · 1 ≥ 20

80 - 18 ≥ 20

62 ≥ 20

Since 62 ≥ 20 is always true, there are infinitely many solutions.

2.) 80 - (18 · 2) ≥ 20

80 - 18 · 2 ≥ 20

80 - 36 ≥ 20

44 ≥ 20

Since 44 ≥ 20 is always true, there are infinitely many solutions.

3.) 80 - (18 · 3) ≥ 20

80 - 18 · 3 ≥ 20

80 - 54 ≥ 20

26 ≥ 20

Since 26 ≥ 20 is always true, there are infinitely many solutions.

4.) 80 - (18 · 4) ≥ 20

80 - 18 · 4 ≥ 20

80 - 72 ≥ 20

8 ≥ 20

Since 8 ≥ 20 is false, there is no solution.

5.) 80 - (18 · 5) ≥ 20

80 - 18 · 5 ≥ 20

80 - 90 ≥ 20

- 10 ≥ 20

Since - 10 ≥ 20 is false, there is no solution.

Answer:

1,2,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

We know that

[tex]|x|=\begin{cases}x & \text{if } x\geq 0 \\ -x & \text{if } x<0 \end{cases}[/tex]

So we need to take into account two cases

Case 1 - [tex]x-3\geq 0<=> x\geq 3[/tex]

Then, |x-3|=x-3

||x-3|-2|=|x-3-2|=|x-5|

Either x-5 is positive and then |x-5|=x-5 and

[tex]|x-5|\leq 1<=>x-5\leq 1<=>x\leq 6[/tex]

Or x-5 is negative and then, |x-5|=-x+5

[tex]|x-5|\leq 1<=>-x+5\leq 1<=>4\leq x[/tex]

So the solution is [4;6]

Case 2 - [tex]x-3< 0<=> x< 3[/tex]

Then, |x-3|=-x+3

||x-3|-2|=|-x+3-2|=|-x+1|

Either -x+1 is positive and then |-x+1|=-x+1 and

[tex]|-x+1|\leq 1<=>-x+1\leq 1<=>0\leq x[/tex]

Or -x+1 is negative and then, |-x+1|=x-1

[tex]|-x+1|\leq 1<=>x-1\leq 1<=>x\leq 2[/tex]

So the solution is [0;2]

Conclusion

The solution is [0;2]∪[4;6]

Thanks

The reciprocal of 15 1/4 is 4/61

Step-by-step explanation:

15 1/4 multiply 15 by 4 and then add 1 it will give you 61/4 then you change into reciprocal which will be 4/61

Answer:

2+x^2=18 = 2+4^2=18

Step-by-step explanation:

Because when you have the ( ^2) then that means your going to multiply a number by the same number and then 4 times 4 equals 16 and you still have the +2 therefore you add that on the 16 and 16+2 equals 18.

Answer: 8

(10-3x2)2

(10-6)2

4 x 2

8

Answer:

8

Step-by-step explanation:

3×2=6

10-6=4

4x2=8

Your answer is 8