All categories

3 years ago

Complete the following sentence using the correct term. 14 is a ________ of 7 and 14.

Mathematics

2 answers:

Sidana [21]3 years ago

8 0

Answer:Complete the following sentence using the correct term.

14 is a ________ of 7 and 14.

Step-by-step explanation:

PIT_PIT [208]3 years ago

7 0

14 is a multiple of 7 and 14

You might be interested in

Please... I... need... HELP

Alja [10]

Here!
(x+4)+(x+2)+(x+5)= (x+1)+(x+1)+(x+3)+(x+3)
First you want to write the whole equation out. Make each perimeter equal to each other.
Then add both sides separately.
(x+4)+(x+2)+(x+5)
=3x+11

and

(x+1)+(x+1)+(x+3)+(x+3)
=4x+8

Now that you've simplified each side, solve like a normal equation.
3x+11 = 4x+8
-3x -3x
11 = x+8
-8 -8
3=x

7 0

3 years ago

Solve and explain please

Ann [662]

Answer:

j= -9, -2

Step-by-step explanation:

(j+9)(j+2)

j=-9, -2

3 0

3 years ago

Read 2 more answers

Tom has 5 comic books in his collections and receives 5 new comic books each month. Joe has 145 comic books, but sends 5 to each

Sindrei [870]

Answer:

In 7 Months both will have same number of comic books.

The both will have 40 comic books in 7 months.

Step-by-step explanation:

Let Number of months be x.

Given:

Tom Has number comic books = 5

Each month he receives number of books = 5

Total Number of books he has after x month can be calculated by sum of number of comic books he has + number of comic books he receives multiplied by number of months

Hence Total Number of books he has after x month = $5+5x$

Also Given:

Joe Has number comic books = 145

Each month he send number of books to 1 friend = 5

Number of friends = 3

Hence books send to friend each month = $5\times3 =15$

Total Number of books he has after x month can be calculated by Difference of number of comic books he has and number of comic books he send to friends multiplied by number of months

Hence Total Number of books he has after x month = $145-15x$

We need to find the number of months in which both will have same number of of comic book.

Hence we can find by making both equation equal we get;

$5+5x=145-15x$

Combining same terms we get;

$5x+15x=145-5\\20x =140\\x=\frac{140}{20}=7 \ months$

Hence the will have same number of comic books after 7 months.

Now we need to find the number of books the both had after 7 months:

Tom has = $5+5x=5+5\times7= 5+35=40\ books$

Joe has = $145 - 15x = 145 - 15\times7 = 145-105 = 40 \ books$

Hence they both will have 40 comic books after 7 months.

4 0

3 years ago

How many 3-digit numbers can you write using only digits 1 and 7? (Of course, digits can repeat.) How many 3-digit numbers can y

Lana71 [14]

Answer:

111,117,177,777,771,711,717,171

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

3 years ago