The integer 49 can be written as the sum of smaller perfect squares in a variety of ways. One such way includes six terms: $25 9 9 4 1 1$. If each term has a value between 0 and 49, what is the fewest number of perfect square terms smaller than 49 that can be added together for a sum of 49

Answers

Answer 1

9514 1404 393

Answer:

  3

Step-by-step explanation:

The minimum length of the sum of perfect squares that total 49 is 3:

  49 = 36 +9 +4

  = 6² +3² +2²


Related Questions

Solve the inequality.

n−4<5
The solution is
.

Answers

Answer:

Step-by-step explanation:

n - 4 < 5

n < 9

For construction of a unique quadrilateral at least _____measurements are required.

Answers

Answer:

Five

Step-by-step explanation:

As we know that quadrilateral contains 10 elements that involves 4 sides, 4 angles, and 2 diagonals. It cannot be drawn by four elements at least it required minimum 5 elements.

So as per the given statement, it is required to construct a unique quadrilateral for minimum 5 elements measurements

Hence, the same is to be considered

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

Answer:

x=366 Y=330

Step-by-step explanation:

Answer:

x=366 Y=330

Step-by-step explanation:

Hope this helped have an amazing day!

Isosceles triangle MNis shown below with MN ~= PN. Ray NQ bisects angle MNP and intersects side MP at point Q. Name three pairs of congruent angles

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are  obtuse, scalene, equilateral, isosceles etc.

An isosceles triangle is a triangle with two equal sides, the base angles of an isosceles triangle is equal.

Since ΔMNP is an isosceles triangle with MN = PN, then:

∠QMN = ∠QPN (base angles of an isosceles triangle are equal)

∠MNQ = ∠PNQ (NQ bisects ∠MNP producing two equal angles)

∠MQN = ∠PQN (right angles)

What is the slope of the line?​

Answers

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

If f(x) = x^3 – 10x^2 + 29x – 30 and f(6) = 0, then find all
of the zeros of f(x) algebraically.

Answers

Step 1: 1

(((x3) - (2•5x2)) + 29x) - 30 = 0

Step 2 2.1 x3-10x2+29x-30 is not a perfect cube

Step 3 Factoring: x3-10x2+29x-30

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 29x-30
Group 2: -10x2+x3

Pull out from each group separately :

Group 1: (29x-30) • (1)
Group 2: (x-10) • (x2)

Mr. Borden was given a $50 gift card to use at the bowling alley. It costs him $10 per night to bowl. Each time he goes to the bowling alley he records the amount he has used and the amount he has left. If x is the number of nights bowled, b(x) is the balance on the gift card. Discreet

Answers

Answer:

He initially has $50 on his card.

For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:

b(x) = $50 - $10*x

Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.

Then the domain of this function will be discrete (and this implies that the range must also be discrete)

Where the possible values of x are:

{0, 1, 2, 3, 4, 5}

(after x = 5, there is no more money in the card)

And the possible values of b(x) are:

{$0, $10, $20, $30, $40, $50}

pls help
which equation describes the motion of the train?
d=50t
d=25t
d= t- 175
d= t + 25​

Answers

Answer:

d = 25t

Step-by-step explanation:

pick tow points on the line, the easier for me is (0,0) and (2,50).  The equation options are given in slope intercept form such as y = mx + b; where m is the slope and be is where the line intercepts the y-axis.  We can see that "b" is zero because the line intercepts the y-axis at 0 (b = 0).

to find the slope you use the two points for the m

m = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]  = [tex]\frac{(50 - 0)}{(2 - 0)}[/tex]  = 25 is the slope

Therefore the equation should d = 25t

(3(2+3) = ?) what is the math term for the 3 in the equation?

Answers

Answer:

15

Step-by-step explanation:

2 + 3 = 5

3 x 5 = 15

What is the quotient of 54.096 and 23

Answers

Answer:

The quotient is 2.352

Step-by-step explanation:

The term quotient is simply the result of division

Thus; if we divide 54.096 by 23, we get 2.352

Find gradient of y=x^2-4x+6 at (3,3)

Answers

[tex]y=x^2-4x+6\\y'=2x-4[/tex]

To find the slope/gradient of the curve at the specific point, we use the derivative.

Then substitute x = 3 in y' = 2x-4

[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]

Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.

In sixth grade at Elk Grove Middle School, there are 6 girls for every 5 boys..
If there are 35 boys in sixth grade, how many sixth-grade students are there altogether?
sixth-grade students

Questions

Answers

Answer: 77 students

Step-by-step explanation:

Find the range of the function y=3/4x+17 when the domain is {-12, -4, 8}.

Answers

Answer:

77

Step-by-step explanation:

The range of the given function y=3/4x+17 is {8, 13.4}

What is domain and range ?

The bis the set of possible input values, and the range is the set of all possible output values of the graph.

The given equation is :

y=3/4x+17

the domain of the function = {-12, -4, 8}

Now, for x = -12 :

y = 3/4 (-12) + 17

y = -9 + 17

y = 8

Now, for x = -4.8 :

y = 3/4 (-4.8) + 17

y = -3.6 + 17

y = 13.4

Therefore, the range of the given function is {8, 13.4}

Learn more about the domain and range  here:

brainly.com/question/15164206

#SPJ2

please help me, i need this so much​

Answers

Answer:

Do you have insta cus if u do follow _l.bartlett

Step-by-step explanation:

1. x<-3

2. z[tex]\leq[/tex] -5

3. y<2

4. 3 [tex]\leq[/tex]x<7

0.000603 in scientific notation

Answers

6.03 x 10^-4 That is 6.03 times 10 to the negative 4 power.

What is the slope of the line between (-3, 6) and (11,-5)?

Answers

Answer:

m=-11/14

Step-by-step explanation:


15. Write the slope intercept form of the equation of each line given the
slope and y-intercept. Slope = 2 y-intercept = -7

Answers

Answer:

y=2x-7

Step-by-step explanation:

it is in the form y=mx+b where m=2 and b=-7

Please help .........

Answers

Answer:

Step-by-step explanation:

1. ST > MN (ST is NOT congruent to MN)

2. BA > BC (not congruent)

3. m∠L < m∠P and m∠T < m∠R

4. m∠A < m∠B and m∠C

   m∠D and m∠E > m∠F

I am not sure what the questions are yet hope it helps

Ill give brainliest if you get it correct :D pls help meh

Answers

Answer: 14401.25

Step-by-step explanation:

Answer:

562000

Step-by-step explanation:

commission=commission rate multiplied with selling price

suppose selling price as x

14050=2.5% . x

14050=(2.5/100) . x

14050 . 100= 2.5 . x

x = 1405000/2.5

x=562000

this is important please help I will give brainiest​

Answers

d. Bobby drew a diagram that’s not a function.

You can see by the arrows, function means domain cannot have two different ranges. Bobby made a mistake since it should’ve been a function

A video game markup
Games galore super store buys the latest video game at a wholesale price of $30.00. The markup rate at games galore is 40%. you use your allowance to purchase the game at the store. How much will you pay,not including tax?
a. write an equation to find the price of the game at games galore super store. Explain your equation

Answers

Answer:Evaluate: 12y+9d if y = 5 and d = 7

Step-by-step explanation:

Evaluate: 12y+9d if y = 5 and d = 7

Answer:

espanol si amego kumasta

Step-by-step explanation:

What is the average rate of change of f(x)=x²+4x+4 from x=1 to x=3?​

Answers

Answer:

F(3) - F(1) / (3-1)

(3^2 + 3*4 + 4) - (1^2 + 1*4 + 4) / (2)

(9+12+4) - (1+4+4) / (2)

(25)-(9)/(2)

(16)/(2)

8

Step-by-step explanation:

X - 3y = 6 and x - 3y = 9

Answers

The answer is that there are no solutions to the equations. They are parallel to each other and never cross. They can also be called inconsistent

The ratio of income Mr. John to his expenditure is 8 : 7. If his expenditure of one year is ₹ 1,26,000, what is his monthly income?

Answers

Answer:

₹ 12000 .

Step-by-step explanation:

It is given that,

The ratio of income Mr. John to his expenditure is 8 : 7

Expenditure = ₹ 1,26,000

Let the income is 8x and expenditure is 7x.

ATQ,

7x = 1,26,000

x = ₹ 18000

Yearly income = 8x

= 8(18000 )

= ₹ 144000

Monthly income,

[tex]M=\dfrac{144000}{12}\\\\=12000[/tex]

Hence, his monthly income is ₹ 12000 .

The points (10, 8) and (19, 17) fall on a particular line. What is its equation in slope-intercept
form?

Answers

Answer:

Step-by-step explanation:

First, find the slope using the two given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]

We can enter [tex]m[/tex] into our slope-intercept form now.

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

Now, plug in one of the given points to solve for b.

[tex]8=10+b\\b=-2[/tex]

So our final form is:

[tex]y=x-2[/tex]

Hope this helps!

The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

What is the general equation of a straight line?

The general equation or the slope - intercept form of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line such that points (10, 8) and (19, 17) lie on this line.

The given coordinates are (10, 8) and (19, 17).

First, we will find the slope of the line as follows -

m = (17 - 8)/(19 - 10)

m = 9/9

m = 1

So, the equation of the line will be -

y = x + c

Now, we will find the y - intercept. As the line pass through the point

(10, 8), we can write -

8 = 10 + c

c = 8 - 10

c = -2

So, the equation of the line will be y = x - 2.

Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

To solve more questions on straight line, visit the link below-

https://brainly.com/question/27730503

#SPJ2

A car wash detailed 256 cars in 8 hours. At what rate did the car wash detail
cars in cars per hour?
O A. 31 cars per hour
O B. 33 cars per hour
O C. 32 cars per hour
O D. 30 cars per hour

Answers

32 cars per hour. If you do 256 divided by 8 you get 32.

Hope this helped!

what is the lowest term of 35/63

Answers

Answer:

5/9

Step-by-step explanation:

What is the hcf of 105 and 14?

Answers

Answer:

hcf of 105 ans 14 is 7

Step-by-step explanation:

please mark me as BRAINLIEST

Answer:

The gcf is 7

step-by-step

mark me brainliest plz

round 12.5829 to the nearest hundredth

Answers

12.58 i’m pretty sure

Answer:

12.58

Step-by-step explanation:

the 8 is in the hundredth's place, and 2 is less than 5, so the 8 stays the same and you eliminate all the numbers to the right, so you get 12.58

At a jewelry store, the necklace costs $380.60, but the store is having
a 75% discount for Valentines Day. What is the new price of the necklace?
$95.15
O $190.30
O $266.42
$285.45

Answers

Answer: 95.15

Step-by-step explanation:

To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15

(I got the .25 from subtracting 100-75, and the 75 is the percent)

Answer: 95.15

Step-by-step explanation:

Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15

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