There are 4 consecutive integers that have a sum of 54. What is the greatest of the 4 integers?

Answers

Answer 1

Answer:

x + x-1 + x-2 + x-3 =54.

x-1

Answer 2

Answer:

15

Step-by-step explanation:

Let the consecutive numbers be x, x + 1, x + 2, x + 3

==========

x + x + 1 + x + 2 + x + 3 = 544(x) + 6 = 544(x) = 54 - 64(x) = 48x = 12

Greatest of the 4 integers:

x + 312 + 315

Related Questions

Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3

of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1

long. How long, in feet, will the table be when the carpenter builds it?

Answers

The length of the rectangular table the carpenter builds given the scale is 110 feet

What is the length of the drawing?

A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension

Length of the table = (11 x 7 1/2) ÷ 3/4

(11 x 15/2) x 4/3 = 660/6 = 110 feet

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Isaac made 2 quarts and 1 cup of cupcake batter. If 6 ounces of butter make one cupcake, And Isaac is making 10 cupcakes,How much batter will be left over.

Answers

Answer:

The Answer is 1 cup and 4 oz, I'm sorry if incorrect..>~<

Answer:

The Answer is 1 cup and 4 oz.

Step-by-step explanation:

2qts + 1cup equals 72 oz. 6oz x 10=60oz.

72 oz - 60 oz = 12 oz. 1 cup and 4 oz.

PLS HELP ASAPPPPP!!!!!

Answers

Answer:

first you write number 4,second the frequency you write number 5...for this data

(27-241)¹⁵

please someone answer this asap!!1

Answers

Answer:

Phhshh- Ez
It's: -90407945526160061369845453076660224 or for factor: (In image below

Step-by-step explanation:

(27−241)

15

Subtract 241 from 27 to get −214.

(−214)

15

Calculate −214 to the power of 15 and get −90407945526160061369845453076660224.

This is the number in standard form: 500,802,009,612



What is the number in expanded form?

Answers

500,000,000,000
+ 0
+ 0
+ 800,000,000
+ 0
+ 2,000,000
+ 900,000
+ 90,000
+ 0
+ 600
+ 10
+ 2



Expanded Factors Form:
500,802,990,612 =
5 × 100,000,000,000
+ 0 × 10,000,000,000
+ 0 × 1,000,000,000
+ 8 × 100,000,000
+ 0 × 10,000,000
+ 2 × 1,000,000
+ 9 × 100,000
+ 9 × 10,000
+ 0 × 1,000
+ 6 × 100
+ 1 × 10
+ 2 × 1


Expanded Exponential Form:
500,802,990,612 =
5 × 1011
+ 0 × 1010
+ 0 × 109
+ 8 × 108
+ 0 × 107
+ 2 × 106
+ 9 × 105
+ 9 × 104
+ 0 × 103
+ 6 × 102
+ 1 × 101
+ 2 × 100

Word Form:

500,802,990,612 =
five hundred billion eight hundred two million nine hundred ninety thousand six hundred twelve

what's greater -9/11 or -5/8

Answers

Answer:

-9/11 > -5/8

Step-by-step explanation:

According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of workers walk or bike to work

Answers

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x  100=18 percent

EZ POINTS!!!!!! explain how you divide 72 by 9.

Answers

Answer:

8

Step-by-step explanation:

Take 72 and put it over 9. In other words, split 72 into 9 groups. Your answer will be 8, btw.

Thanks for the points. Hope it helps :)

Answer:

9\72=8

Step-by-step explanation:

9x8=72

  _08_

9|   72

 -   72

-----------

   0

please mark brainliest

What is the mean for this list of numbers 4,8,12,13

Answers

Answer:

4, 8, 12, 13

In order to find the mean you must add all of the values together and then divide by the number of numbers. 4 + 8 + 12 + 13 = 37

Now we divide: 37 ÷ 4 = 9.25

So the mean is 9.25

                      I hope this helps!  :)

A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. If the company used 28,134.4cm cubed of steel, how many rods did it make?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.

Answers

(One steel rod’s volume) = 3.14 x 4^2 x 20

= 1004.8cm^3

(Used steel) / (One steel rod’s volume) =

(Made steel rod’s number)

The answer is 28

How do you solve 2. 310x/4y times 8y/5x =

Answers

Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]


[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

An exam has two papers. Anil scores 22 out of 80 on paper 1 and 75 out of 100 on paper 2. Work out his percentage score for the exam.​

Answers

Answer:

53.89%

Step-by-step explanation:

total no. obtainable = 80 + 100 = 180

total scores acquired = 22 + 75 = 97

percentage = (total acquired/total possible) × 100

= (97/180) × 100

= 53.89 %

What is the value of the x-coordinate of point A?

Answers

-0.75 is x coordinate
A coordinate : (-0.75, -0.5)

Marco picked 8 1/2
pounds of apples at an orchard last weekend. He used
1/4
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?

Answers

Answer:

3 1/4 pounds

Step-by-step explanation:

Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.

He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375

Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.

Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.

Two lines that are ____________ have one solution.

Answers

Answer:

Not parallel  

Step-by-step explanation:

Could be   perpindicular    or   not parallel

i will give 100 points

Answers

Part A

(√6)² x (√2)²6 x 212

Part B

(∛3)³ x (√12)²3 x 1236

Addtional Information:

[tex]\bold{(\sqrt{x} )^2 = x}[/tex]

[tex]\bold{(\sqrt[3]{x} )^3 = x}[/tex]

Answer:

(a)  12

(b)  36

Step-by-step explanation:

Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]

Apply the exponent rule:

[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]

Question (a)

[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]

Question (b)

[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]

Dante is solving the system of equations below.
r+S-=-4
2r-35+=1
3r-2s+21= 3
He writes the row echelon form of the matrix. Which matrix did Dante write?

Answers

Answer:

The answer is the first matrix. Image attached.

Step-by-step explanation: Given that Dante is solving the system of equations:

In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.

We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.

In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have

r = -1,  s = 0  and  t = 3.

If we substitute these values in the given system, it will get satisfied.

Thus, the first matrix, attached herewith, is the correct matrix.

What is the difference between surface area and lateral surface area?​

Answers

Answer:

Surface area is the sum of all areas/faces of a solid, INCLUDING bases.

Lateral surface area is the surface area of a solid WITHOUT bases.

hope this helps :)

(2x-3)(3x+4) Pls help urgent

Answers

6x²-x-12
Use the foil method to multiply each term and then simplify

Answer:

[tex]\boxed{\sf{6x^2-x-12}}[/tex]

Step-by-step explanation:

Use the distributive property.

Use the foil method formula.

Distributive property:

⇒ A(B+C)=AB+AC

Foil method formula:

[tex]\Longrightarrow: \sf{(A+B)(C+D)=AC+AD+BC+BD}[/tex]

(2x-3)(3x+4)

→ 2x*3x+2x*4-3*3x-3*4

Solve.

[tex]\Longrightarrow: \sf{2x*3x+2x*4-3*3x-3*4=\boxed{\sf{6x^2-x-12}}}[/tex]

Therefore, the correct answer is 6x²-x-12.

I hope this helps you! Let me know if my answer is wrong or not.

PLEASE ANSWER QUICKLY!


The figure shows a right prism.


1. What is the volume of the figure?


2. If the dimensions of the prism are decreased by a factor of 1/4, how will the volume of the new prism compare to the volume of the original prism? (ANSWER IN A SIMPLIFIED FRACTION).
The volume of the prism is decreased by a factor of: ______

Answers

1. 5x2x2 = 20 cm^3. I will answer the rest in the comments

You want to rent a car. The cost is $120 per day. You are allowed 100 miles per day--but any mileage above that amount will cost $0.35 per mile. You rent the car for 5 days, and drive 925 miles. The car gets 25 miles to the gallon, and a gallon of gas costs $4.
pls help im so confused

Answers

Answer:

600$ rent for 5 days,

around 185 miles a day, meaning you are paying 0.35$x85=29.75 extra a day.

adding up to 120 a day+29.75=149.75 a day.

149.75x5=748.75 for 5 days not including gas prices.

925/25=185 gallons of gas. 4 dollars per gallon, meaning that 185x4=740 extra dollars in gas

748.75+740=1488.75$ for the entire trip.

1488.75

Please help me ASAP

Answers

Answer:

109

Step-by-step explanation:

the sum of 37 and 72 is equal to x

proof:  

37+72 = 109

three angles of a triangle form 180 degree

to find the angle which is not given,

180 - 109  = 71

as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180

so,

x = 180 - 71

x = 109

that means ,

=>    37+72 = x

=>    109 = 109            [ 37+72 = 109, x = 109]

hope this helps :)

Answer:

Option D is correct answer that is 109° .

Step-by-step explanation:

Question : -

Find the value of x in this triangle .

Given : -

Angle 1 = 37°

Angle 2 = 72°

Angle 3 = y° ( We are assuming it as y )

Angle 4 = x°

To Find : -

We have to find the value of x .

Solution : -

We know that sum of all the interior angles of triangle is equal to 180° . Then ,

Angle 1 + Angle 2 + Angle 3 = 180°

37° + 72° + Angle 3 = 180°

109° + Angle 3 = 180°

Angle 3 = 180° - 109°

Angle 3 = 71°

Therefore , Angle y = 71° .

Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,

Angle 3 ( y )+ Angle 4 ( x ) = 180°

71° + x° = 180°

x° = 180° - 71°

= 109°

Therefore , value of Angle x is 109° .

#[tex] \rm{Keep \: Learning}[/tex]

P,Q and R are points on a circle, centre O, if angle OPQ=36 degree, what is the size of angle PRQ.

Answers

Answer:

18

Step-by-step explanation:

an angle subtended by a chord to the center is twice to that subtended by the same chord to the circumference

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

7.093 cm

Step-by-step explanation:

[tex]4.5^2+x^2=8.4^2[/tex]

[tex]20.25+x^2=70.56[/tex]

[tex]x^2=50.31[/tex]

[tex]\sqrt{50.31}= 7.093[/tex]

Suppose that the volume of a right circular cylinder is 288 cubic meters and the area of its base is 16 square meters. What is the height of the cylinder?


A. 12 m
B. 16 m
C. 18 m
D. 14 m

Answers

Answer: 18

Step-by-step explanation:

288 / 16 = 18

Answer:

C) 18 m

Step-by-step explanation:

The table shows the number of colored pencils in lauren's backpack.
2
the ratio of black pencils to total colored pencils in lauren's backpack is 1 : 9. how many orange pencils does lauren have in her backpack?
3 pencils
pencils
9 penals
12 pencils

Answers

Answer:

3

Step-by-step explanation:

please help fast it is due​

Answers

A right triangle with a 45 degree angle means the two short sides are the same, so y = 30


the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)


answer: x = 30sqrt(2) and y = 30


Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?

Answers

Answer:

240

Step-by-step explanation:

5x4x12=240

if you multiply the amount of sizes he can get times the amount of crust sizes he can get you get the pizza it's self (20)

now including the toppings (12) this means 20x12 gets you the amount of toppings on those induviduale pizza's.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

multiplying five by four and 12 gives you total possible choices.
5x4x12=240. You have 240 different possible choices

Name two sides that appear to be parallel

Answers

Step-by-step explanation:

These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.

A spring with spring constant 0.5 m has a force of 40 newtons applied to it. How much does the spring
stretch? Use Hooke's law F = kx
N
O A 1,600 cm
OB. 100 cm
O C. 80 cm
O D. 40 cm

Answers

The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

How to calculate the force acting on string?

According to Hookes law

F = ke

where

F is the applied force = 40N

k is the spring constant

e is the extension  = 0.5

Substitute

40 = 0.5e

e = 40/0.5

e = 80cm

Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

Learn more on hookes law here: https://brainly.com/question/12253978

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