The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is

Answers

Answer 1

Answer:

16

Step-by-step explanation:

50÷3=16R2

Second largest multiple of 3 that is smaller than 50=45

45÷3=15 groups of 3 people each

50-45=5

         =1 group of 5 people

Greatest possible number of groups=15+1

                                                            =16


Related Questions

solve for X
1/2(10x+4)=12​

Answers

Answer:

x = 2

Step-by-step explanation:

Distribute the 1/2 on the left side to each term

1/2 * 10x + 1/2 * 4 = 12

Now multiplication first before addition on the left side.

5x + 2 = 12

Subtract 2 on both sides

5x = 10

Divide by 5 on both sides

x = 2

Check work

1/2(10(2) + 4) = 12

1/2(20 + 4) = 12

1/2 * 24 = 12

24/2 = 12 = 12

What is the first step to solving the division problem below?

6288 divided by 8

Answers

Answer:

devide it by 2 three times

Step-by-step explanation:

6288/2=3144

3144/2=1572

1572/2=786

i think that's the easiest way to do it

CAN SOMEONE TAKE A QUICK LOOK AT THIS AND HELP ME OUT

Answers

Answer:

9/79/169%, 523.2, 458 (to 3sf)

Step-by-step explanation:

Example 1:

16/169×100%=9/79/169% of the students

Example 2:

87.2%×600=523.2 students

Example 3:

27.3%=125 students

100%=458 students (to 3sf)

Reduce to a simplest form.

1. 6/20

2. 28/16​

Answers

Answer:

D

Step-by-step explanation:

1.) 3/10 [i just divided it by two]
2.) 7/4 or 1 3/4 i reduced the fraction by dividing it by 2 then 2 again and for the other one i divided 16 into 28 and made it into a mixed number then reduced

Slope-Intercept
Functions
Acellus
Find the equation to the line below.
1

Answers

Answer:

y=4x+1

Step-by-step explanation:

First the slope of the line is 4. The equation of the line is y-1=4x, y=4x+1

the product of two numbers is 21. If the first number is negaitve 3, which eaqution represents this situation and what is the second number

Answers

Answer:

-7 is the second number

Step-by-step explanation:

-3 * (-7) = 21

Find the distance between X(-3, 8) and Z(-1,5) *
what is it :’)

Answers

Answer:

d = √13

Step-by-step explanation:

d = √((x2 - x1)² + (y2 - y1)²)

points: (-3, 8) & (-1, 5)

d = √((-1 - -3)²+(5 - 8)²)

d = √(2)²+(-3)²

d =√(4 + 9)

d = √13



Please help with geometry

Answers

Answer:

x

Step-by-step explanation:

Answer:
-37
Explanation:

The distance from Tallahassee, Florida, to London, England, is 4.368 x 103 miles. The distance from
London, England, to Tokyo, Japan, is 6.424 x 103 miles. If you were to fly from Tallahassee to London
and then to Tokyo, how many miles would you have traveled?
A. 2.056 x 103
B. 28.06 x 103
C. 1.0792 x 104
D. 10.792 x 106

Answers

A you can calculate it out to prove it

A 2-pound bag of potatoes costs $0.96. What is the price per ounce?

Answers

Answer:

.03

Step-by-step explanation:

1 pound = 16 ounces 2 pounds is 32

and 96/32 is 3

Answer:

$.03 per ounce

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

Take the price and divide by the number of ounces

.96 / 32 ounces

.03 per ounce

Simplify.
Rewrite the expression in the form 4".
49
45

Answers

Answer:

[tex]4^{9-5}[/tex] = [tex]4^{4}[/tex]

Step-by-step explanation:

Are Quadrilaterals A and C congruent??​

Answers

Answer:

It turns out that knowing all four sides of two quadrilaterals are congruent is not enough to conclude that the quadrilaterals are congruent. Unlike with triangles, some information about angles is needed in order to conclude that two quadrilaterals are congruent. I will give you the video that might be helpful. I dont own the video but i hope it helps you . <3

Step-by-step explanation:

https://www.khanacademy.org/math/cc-fifth-grade-math/properties-of-shapes/imp-quadrilaterals-2/v/quadrilateral-types-exercise

One third of a bamboo is buried in mud, one sixth of it is in water and the part above the water is greater than or equal to 3 meters. Find the length of the shortest pole.​

Answers

Answer:

6m

Step-by-step explanation:

Buried in mud: 3

In and above the water: 6

Total buried in the mud and in/above the water: 3 + 6 = 3 ÷ 6 = 2m

The length of the shortest pole?

Based to the question,

2m + 3m = ...?

= 2m x 3m

= 6 m

The length of the shortest pole is 6m.

4) Write the following rational number in Pq form 1.) 2.514​

Answers

Answer:

3 or 2.5

both are correct answers

4.) 5(3y – z) - x =
If y=8, z=6, and x=2

Pls help lol

Answers

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

88

Step-by-step explanation:

Given expression:

5(3y - z) - x

Evaluating the value of this expression if y = 8, z = 6, x = 2:

5(3*8 - 6) - 2 = 5(24 - 6) - 2 = 5(18) - 2 = 90 - 2 = 88

Write the following phrase as a variable expression. Use x to represent "a number" the sum of a number and seventeen

translation is:​

Answers

Answer:

[tex]x+17[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

The sum of a number and seventeen

⇒ [tex]x+17[/tex]

I hope this helps!

PLEASE HELP
To find the area of a triangle, use the formula on, where bis the base
and h is the height. What is the area in square inches of a triangle with
a height of 6 inches and base of 8 inches.

Answers

Answer:

A=24

Step-by-step explanation:

Triangle Area formula: h*b

h: 6

b: 8

6*8=24

An angle measures 46° more than the measure of its complementary angle. What is the
measure of each angle?

Answers

Answer:

Angle + the Complementary angle = 90 degrees. Let x be the measure of the angle under the question. Then the measure of the Complementary angle is (x+46) degrees, and you have this equation x + (x+46) = 90, or 2x+ 46 = 90, or 2x = 90 - 46 = 44. Then x =  = 22. The given angle has the measure of 22 degrees. The complementary angle is 90-22 = 68 degrees. Check. 68 - 22 = 44 degrees. Correct !!

Find the perimeter of a square with sides 2 5/8 .

Answers

Answer:

10.5

Step-by-step explanation:

2⅝×4=10.5

..............

(a) Find the slope of the curve y= x^2 - 2x - 3 at the point ​P(2​,​ -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)

Answers

Answer:

Step-by-step explanation:

P=(2,-3)

Q=(a,a²-2a-3)

[tex]\Delta y=a^2-2a-3-(-3)=a^2-2a\\\Delta x=a-2\\\\\displaystyle \lim_{a \to 2} \dfrac{a^2-2a-3-(-3)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a^2-2a}{a-2} \\\\=\lim_{a \to 2} \dfrac{a(a-2)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a}{1} \\\\=\lim_{a \to 2} a \\\\=2\\[/tex]

Proof:

y'=(x²-2x-3)'=2x-2

y'(2)=2*2-2=2

Gabriel's family is investing $5,000 into two different bonds for college. One bond gave

an interest of 5% per year, and the other 3%. If the combined interest for the year was

$220, how much money was invested in each bond?

Answers

The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500

This question would be solved using simultaneous equation

Two equations can be derived from this question

a + b = 5000  equation 1

0.05a + 0.03b = 220   equation 2

where a = amount invested in the bond that bears 5% per month

b = amount invested in the bond that bears 3% per month

Multiply equation 1 by 0.05

0.05a + 0.05b = 250 equation 3

Subtract equation 2 from 3

0.02b = 30

Divide both sides of the equation by 0.02

b = 1500

Substitute for b in equation 1

a + 1500 = 5000

subtract 1500 from both sides of the equation

a = 5000 - 1500 = 3500

Amount invested in the bond that yields 5% is $3500

Amount invested in the bond that yields 3% is $1500

To learn more about simultaneous equation, please check : https://brainly.com/question/15165519?referrer=searchResults

Find the solution to the system of equations below

y=-5x+3
2x-3y=8

Answers

Answer: (1, -2)

Concept:

There are three general ways to solve the system of equations:

Elimination SubstitutionGraphing

Here, we are going to use the elimination method to solve.

Solve:

Given

[tex]\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.[/tex]

Convert the first equation's arrangement to correlate with the second equation

[tex]\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.[/tex]

Multiply 3 on both sides in the first equation

[tex]\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.[/tex]

Eliminate [y] by adding the two equations

[tex]17x = 17[/tex]

Divide both sides by 17

[tex]17x / 17=17/17[/tex]

[tex]x=1[/tex]

[tex]y=-5x+3=-5(1)+3=-5+3=-2[/tex]

[tex](1, -2)[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is the midpoint of line segment EF?
O (2,2)
O (-3,-2)
O (-2,1)
• (-4,2)

Answers

E which is (-5,3) and F is (1,-1)
You add the X’s and Y’s and diced them by 2
-5+1 3+(-1)
——— , ——- = (-2,1)
2 2

answers in the grid on
Око
28) f(x) = ax? + bx+c is a quadratic function where a, b and c are constant,
the value of x of the point of intersection of this quadratic function and linear
function g(x) = 2x - 1 is 3. The vertex of f(x) is at (-3,-1). What is the
product of a, b and c?

Answers

Answer:

a= 1/6

b=1

c=1/2

a*b*c =  [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  1/6x^2+ 1x+ 0.5

Lynn regularly works a 40-hour week and earns $14 per hour. She receives time-and-a-half pay for each hour of overtime she works. Last week she worked 43 hours.

a) What was her regular pay for the week?

b) | What is her hourly overtime rate?

c) What was her overtime pay for the week?

d) What was her total gross pay for the week?

e) What was her approximate NET pay for the week?​

Answers

Answer:560

Step-by-step explanation:

4 (y + z); use y = 5 and z = 4

Answers

Answer:

It is 9

Step-by-step explanation:

[tex]4(y + z)[/tex]

when y is 5, z is 4

substitute:

[tex] = 4(5 + 4) \\ = 36[/tex]

Answer:

y=5 z = 4 - substitution

4 (5 + 4) = 4 (9) = 36

expanded in 5th grade

Answers

Answer:

What expanded?

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

The length of a rectangle is 2m-1 and the width is m+3. Simplify an expression for the perimeter of the rectangle.

Answers

Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

4m - 2 + 2m + 6

6m + 4

What angles would have to be congruent to prove the triangles are congruent by SAS?

A. AEB = CED

B. AEB = DEC

C. ECD = EAB

D. CDE = ABE

Answers

It have to be D since the angles have a congruent shape and angle

Factor over the Reals

Answers

Answer:

(x - 2y)³(1 - x+ 2y)(1 + x - 2y)

Step-by-step explanation:

Given

(x - 2y)³ - [tex](x-2y)^{5}[/tex] ← factor out (x - 2y)³ from both terms

= (x - 2y)³(1 - (x - 2y)²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

1 - (x - 2y)²

= 1² - (x - 2y)²

= (1 - (x - 2y) )(1 + (x - 2y) )

= (1 - x + 2y)(1 + x - 2y)

Then

(x - 2y)³ - [tex](x-2y)^{5}[/tex]

= (x - 2y)³(1 - x + 2y)(1 + x - 2y) ← in factored form

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