A relief worker needs to divide 1350 bottles of water and 144 cans of food into boxes that each contain the same number of items.​ Also, each box must contain the same type of item​ (bottled water or canned​ food). What is the largest number of relief supplies that can be put in each​ box?

Answers

Answer 1

The largest number of relief supplies that can be put in each box is 75 bottles and 8 cans of food respectively.

How to find highest common factor

The factors of:

1350 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350.

144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

The highest common factor of 1350 and 144 is 18

1350 bottles / 18

= 75 bottles per box

144 cans of food / 18

= 8 cans of food per box

So, there 18 boxes of items, each containing 75 bottles and 8 cans of food respectively.

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Related Questions

Find the simple interest on the loan of $2500 for 2 years at 5%.
$
(Simplify your answer. Round to the nearest cent as needed.)

Answers

Answer:

Step-by-step explanation:

simple interest=prt

p=principle amount

r=rate

t=time

here p=$2500

r=5 %=0.05

t=2 years

simple interest=2500×2×0.05=$250

The simple interest on the loan of $2500 for 2 years at 5% is $250

How to determine the value?

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are;

P is the principal amountI is the simple interestR is the interest rateT is the time

Now, substitute the values, we get;

Simple interest = 2500 × 5 × 2/100

Multiply the values

Simple interest =25, 000/100

Simple interest =$250

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#SPJ2

If abc is an equilateral triangle bc must be 2cm true or false?

Answers

Answer:

I would say False

CAN SOMEONE HELP PLS?? I rlly dont get this.

Answers

The little square on the angle means that the entire angle is 90 degrees

The larger angle is made up of two angles of measure 'x - 18' and 'x'

Let's put that into an equation form:

     (x - 18) + (x) = 90

        2x - 18 = 90

           2x = 108

            x  = 54

So x = 54

Hope that helps!

I really need this answer plss

Answers

Answer:

No No No No No No No No No No No No No

-0.5(14a - 22) = ? this for my work, please help me.

Answers

Answer:

-7a+11

Step-by-step explanation:

help help help help math math

Answers

Answer:

2

Step-by-step explanation:

the line is straight and is set on 2 so y<2

A straight line has gradient - 1/2 and y-intercept 3.
Write the equation of the line in the form of ax + by + c

Answers

Answer:

[tex] - \frac{1}{2} x - y + 3 = 0[/tex]

Step-by-step explanation:

as shown in drawing

A very slow man walks

20 cm.in 0.5 left, what his

velocity in meter per second?

Answers

Displacement(d)=0.2m
Time taken(t)= 30 s(1min=60 s)
Velocity (v)=?
We know that,
Velocity (v) = d/t
=0.0067

Caden deposited $300 into a checking account. Each week he withdraws $12 from his account.
a) Write an equation to describe this sequence.
b) How many weeks can Caden go before he runs out of money?

Answers

Answer:

B i had this text and made a 100

Step-by-step explanation:

b

if xy=2√3 the value of x^4+y^4=?​

Answers

Step-by-step explanation:

wrong question or incomplete question

Find the sum of a finite arithmetic sequence from n=1 to n=5 using the expression -3(4)^n-1

Answers

Answer:

Step-by-step explanation:

Arithmetic sequaence:

[tex]\sf a_n = -3(4)^n - 1\\\\a_1=-3*4^1 -1\\\\ = -3*4 - 1\\\\ = -12 - 1\\\\a_1=-13[/tex]

[tex]a_2 = -3*4^2-1\\[/tex]

    = -3*16 -1

     = -48 - 1

    = -49

difference = second term - first term

                 = -49 -(-13)

                = -49 + 13

             d = -36

[tex]\boxed{S_n=\dfrac{n}{2}[2a + (n-1)d]}[/tex]

[tex]\sf S_5=\dfrac{5}{2}*[2*(-13} + 4*(-36)]\\\\ =\dfrac{5}{2}[-26-144]\\\\=\dfrac{5}{2}*(-270)[/tex]

= 5*(-135)

= -675

135.99 rounded to two significant figures

Answers

Answer:

1.3×10^1

Step-by-step explanation:

For this, you need to use scientific notation

First, let's round up the decimal points

135.99 = ~ 136

1.3 ×.10^1

One of the legs of a right triangle measures 5 cm and the other leg measures 11 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

c = 12.1 cm

Step-by-step explanation:

For this question, use the Pythagorean theorem.

a^2 + b^2 = c^2

Where a and b are the triangle's legs, and c is the hypotenuse.

(It doesn't matter what values you use for each for a and b)

a = 5 cm

b = 11 cm

c = ?

5^2 + 11^2 = c^2

25 + 121 = c^2

146 = c^2

square root both sides

√146 = √c^2

c = 12.08304 cm

But we need to the neasrest tenth then....

c = 12.1 cm

Answer the questions below about the quadratic function. g(x)=-2x^2+16x-31

Answers

Answer:

Hope it helps!!!Brainliest pls!!!

Kaya rented a limousinefor prom. There was a one-time charge of $100 plus an hourly rate of $50 per hour. Her
total cost for the night was $300. How many hours did she rent the limo?

Answer using 2 step equations and X as variable

Answers

Let X be number of hours rented and C be total cost.
C = 50X + 100
Since C = 300,
50X + 100 = 300
50X = 200
X = 4 hours
300=100+50x
x=4
She rented the limo for 4 hours($200) with the one time charge of $100

Point q is located on the coordinate grid at (-9.73,-3.32) in which quadrant is point q called

Answers

Answer:

  III

Step-by-step explanation:

The signs of both x and y are negative in the 3rd quadrant.

__

x-values are negative in the left half-plane.

y-values are negative in the bottom half-plane.

Both coordinates are negative in the lower-left quadrant, number III.

Find the value of each variable in the parallelogram.

Answers

Answer: m=35, n=110

Step-by-step explanation:

Consecutive sides have sum 180°

n+70=180n=180-70n=110

And

2m+110=1802m=180-1102m=70m=35

John's employer increased his annual salary of $55,000 by $5,700. What percent was his raise, rounded to the nearest tenths place?

Answers

Answer:

3.64% (when rounded to the nearest hundredth)

Step-by-step explanation:

I'm assuming by 5700 you actually mean 57,000.

Calculate the percent change:

(57,000-55,000)/55,000 *100

(2000/55000)x100

0.036363x100

3.6363 rounded to the nearest hundredth is 3.64

Which set shows an average of 4?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer:

B

Step-by-step explanation:

A) 1 + 1 + 1 + 1 = 4

4 / 4 = 1

B) 4 + 4 = 8

8 / 2 = 4

Answer: B

Step-by-step explanation:

Geometry: Trig Pile Up Activity

Answers

The measure of the unknown angle is 53 degrees.

The length of the unknown side of the blue triangle is 4.43 cm

Right angle triangle

Right angle triangle have one of its angles as 90 degrees.

The sum of angle in a triangle is 180 degrees.

Therefore, the measure of the unknown angle can be calculated as follows:

let

x = unknown angle

x = 180 - 90 - 37 = 53°

Therefore, let's find the unknow length of the blue triangle.

tan 53 = opposite / adjacent

tan 53 = 6.9 / a

a = 6.9 / 1.327

a = 5.1996985682

a = 5.2

The green triangle hypotenuse = 5.2 + (5.2 - 2.6) = 7.8 cm

Therefore,

sin 59 = opposite / 7.8

opposite = 7.8 × 0.8571673007

opposite = 6.68590494548

opposite side = 6.69 cm

The hypotenuse of the blue triangle = 6.69 - 2 = 4.69 cm

Therefore,

sin 71 = x / 4.69

x = 4.69 × 0.94551857559

x = 4.43448211956

x = 4.43 cm

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Does anyone know the answers? Need help!!

Answers

Answer:

nice handwriting

Step-by-step explanation:

Which expression is equivalent to the following complex fraction?

Answers

Consider the fraction first ;

[tex]{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}[/tex]

Hence, Option B) is required answer

What is the measure of angle x?
Enter your answer in the box.
+
1470
x =
1 2 3 4 5 6 7
5.

Answers

Answer:

x=43 degrees

Step-by-step explanation:

Subtract 47 from 90 to get the angle next to 47 degrees which is 43 degrees and x is also 43 degrees because they form vertical angles with each other

help me please mark U as BRAINLIEST​

Answers

Hope this helps. Good luck

Box size | number of mufffons
Small. 4
Medium. 6
Large. 8
Extra large 12

How many muffins are needed to fill all the boxes? Show your work

Answers

30
4 + 6 = 10
10 + 8 = 18
18 + 12= 30

or 4 + 6 + 10 + 8 + 12 = 30

Beth and Brianne had a yard sale to raise money. They donated 2 of their profits to their 10 school sports teams, 3 to the animal shelter, and 1 to the hospital. Which model can be 10 10 used to find the total fraction of their profits that they donated? Explain your thinking.​

Answers

Answer:

Model 1

Step-by-step explanation:

Model 1 correctly displays the amount of money Beth and Brianne donated and raised at the yard sale. 2/10 + 3/10 + 1/10 = 6/10 (this would be the total amount donated.If 6/10 was donate, 4/10 of the total profit still remains. Model 2 does not represent the total profit that the girls have remaining.

A 22° B 54° С What is the measure of AD? O 108° 0 27° 126 54°​

Answers

Answer:

A. 108

sorry if im wrong but if u am I'm so sorry

solve for x : -30 < -x/4

Answers

x > 120

Step-by-step explanation:

-30 < -x / 4

-30 x 4 < -x

x > 120

Answer:

ight so first you multiply by 4 to isolate x so you get -120<-x next you divide by -1 to get the x so the answer is 120 cause a negative and a negative cancel out and turns to a positive

Step-by-step explanation:

The equation representa Function A and the graph represents Function B

Answers

Answer:

D) Slope of Funcation B = - Slope of Function A

Step-by-step explanation:

The equation for the line is:

y=mx+b

Where m is the slope and b is the y-intercept

In this question, we are only interested in the slope.

For function A, we can see that the equation is f(x) = -2x + 1

Going back to the equation, we can see that -2 is the slope

Now for function B, we need to find the slope by looking at the graph.

To do this, you need to remember that the slope is y/x, or rise over run. (This is saying that every time the y happens, the x also happens. For example, if the slope is 1/2, every time the line goes up 1 unit, it goes to the right 2 units)

So for the function, we can see that when you move to the right 1 unit (run), you also move up 2 units (rise), so the slope would be

2

Comparing the slope of both the functions

Function A is -2

and

Function B is 2

So the answer is D

Convert the unit of weight. Use 1 lb = 16 oz. Express your answer in exact simplest form. 3 lb = _____ oz
3lb= ⋅ = _____oz ?

Answers

Answer:

48

Step-by-step explanation:

one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces

Answer:

48 oz

Step-by-step explanation:

We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.

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