Problem 4
(a) three friends are packing sweets into gift boxes. they agree that
each box should contain the same number of sweets, but they are
each working in separate locations with their own pile of sweets so
cannot share boxes. gwen has 286 sweets, bill has 390 sweets and
zeta has 468 sweets. if they put the largest number of sweets into
each box that they can and they use up all their sweets, how many
boxes of sweets will they pack?
(b) use the euclidean algorithm to find the highest common factor of
8008 and 24255 (you need to show all working).

Answers

Answer 1

Answer:

286+390+468÷3= answer


Related Questions

Question 9 of 10
A fellow classmate tosses 3 coins and finds that 2 of them come up tails.
Which of the following is the best conclusion for her to come to?
OA. She needs to keep flipping the coins until she gets 50% heads in
order to determine if they are fair.
OB. If she flips the coins once more, they will all come up heads.
OC. The coins are unfair.
OD. This could easily happen with a fair coin after only 3 flips.

Answers

The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.

What is a fair coin?

A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.

This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.

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a motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West what is the velocity of the wind.​

Answers

The velocity of the wind will be 50 km per hour.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West.

Then the velocity of the wind will be

Let x be the speed of the wind. Then we have

x² = 50² + 50² - 2 x 50 x 50 x cos 60°

x² = 2500 + 2500 - 2500

x² = 2500

x = 50 km per hour

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Mike wants to make meatloaf. His recipe
uses a total of 7 pounds of meat. If he uses a 3 to one ratio of beef to pork,how Mach pork will he use?

Answers

Answer:

Mark will use 1.25 pounds of pork.

Step-by-step explanation:

Let b represent the number of pounds of pork and p represent the number of pounds of beef. Since the ratio of beef to pork is 3 to 1, we have b/p = 3/1, which then becomes b = 3p. From this:

[tex]3p + p = 7[/tex]

[tex]4p = 7[/tex]

[tex]p = 1.75[/tex]

[tex]b = 3 \times 1.75 = 5.25[/tex]

The square below represents one whole.
Express the shaded area as a fraction, a
decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%

Answers

Answer:

fraction:4/10 or 2/5

decimal: 0.4

percent: 40%

Step-by-step explanation:

The rectangle is divided into 10 parts, this is a total number that goes on the bottom of a fraction. 4 parts are shaded, that number goes on the top of the fraction.

4/10 is shown in the image. But 4/10 can be reduced. You should always simplify a fraction when it is possible.

4/10 = 2/5

As for the decimal, 4/10 spoken, "four tenths" tells you the decimal 0.4 (we all say "point four", but this is properly called "four-tenths" also) You can divide, because a fraction bar is a division symbol:

4÷10 OR 2÷5 and you will get the decimal 0.4

To change the decimal to a percent, multiply by 100.

0.4 × 100 is 40

0.4 is 40%

fraction:: 4/10 or 2/5 (simplified)

decimal: 0.04

percentage: 4%

Using the basic identities, find the value of cosΘ if cotΘ = -12/5.

Answers

Step-by-step explanation:

please mark me as brainlest

What is the approximate area of the circle shown below?
60 cm C
A. 11,310 cm²
B. 94 cm²
C. 2827 cm²
D. 188 cm²

Answers

C because the formula to find the are of a circle is A=(pi) * radius^2. To find the radius from diameter, just divide by two. So 60/2= 30 so now you can just plug in and 30 * 30 is 900 and 900 * pi, or 3.1415926535, is about 2827
2827 should be the answer because of the area it is showing

Is 40% of 90 closer to 10 or 30?

Answers

Answer:

Closer to 30.

Step-by-step explanation:

To answer this first find 40% of 90.

90*0.4=36

0.4 is the same as 40%

Hope this helps!

If not, I am sorry.

Linear equations in two variables
Graph y = -4 then explain why it is not a function, can somone ELI5

Answers

Answer:

y=-4 is a function

Step-by-step explanation:

It passes the vertical line test, and each x has only one y, so it is a function.

x = -4 is NOT a function because one x has multiple y values. It does not pass the vertical line test.

How do I solve this?

Answers

Answer:

x = 4

Step-by-step explanation:

The figure in the picture is a parallelogram. In parallelograms diagonals bisect each other. That means that they divide each other in half. That means that 6x + 1 is the same as 4x + 9.

6x + 1 = 4x + 9

2x + 1 = 9

2x = 8

x = 4

what is Math?
who ever answer this question I shall mark him as brainiest.

Answers

Answer:

Maths is the subject which deals with numbers, calculations, areas, geometry etc

Various topics in maths are

trigonometry

geometry

airthmatic

etc

Math deals with letters numbers and calculations

Can someone explain to me #2 I only need #2

Answers

Answer:

in a rectangle, opposite sides are equal in length

Step-by-step explanation:

now in this question, Pythagoras theorem is being used to find the length

we know both sides by using Pythagoras theorem find third side and get the sum to find ac+bd

Step-by-step explanation:

So it tells you that AB = 21 and AD = 28
and you to find what BD + AC is and since BD is the same length as AC
you only need to find one of them, then double it
There is a formula you use called the Pythagorean theorem
The Pythagorean theorem is A²+B²=C²  
In this problem A = 21    B = 28  and C = the length of BD
so it'll look like  21²+28²=Length of BD²  or BD²=21²+28²  now you find BD
first do 21²+28² --> 441+784 --> 1225   Now you know that 21²+28²=1225
so BD²=1225  Then to find BD, you find √1225(square root of 1225)
Which is 35     So BD=35 and you want to know what BD+AC is
so 35+35=70        

Fully simply 15x^4y^4(−5x^3y^5)

Answers

Answer:

[tex]-75x^{7}y^{9}[/tex]

Step-by-step explanation:

Two rigid transformations are used to map TriangleJKL to TriangleMNQ. The first is a translation of vertex L to vertex Q. What is the second transformation?

a reflection across the line containing LK
a reflection across the line containing JK
a rotation about point L
a rotation about point K

Answers

Triangle JKL is mapped to Triangle MNQ by two rigid transformations. Vertex L to vertex Q translation is the first. a rotation about point L is the second transformation. Option A is correct.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Two rigid transformations are used to map Triangle JKL to Triangle MNQ. The first is a translation of vertex L to vertex Q.

The second transformation is a rotation about point L.

Hence option A is correct.

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Answer: Option 3 or C. a rotation about point L

Step-by-step explanation:

I took the quiz and got 100% correct on Edge 2022. Trust me if you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful. Good luck everyone!  :)

Which is a nonlinear relationship

Answers

Answer:

D. 4

Explanation:

Linear relationship refers to relationships which give straight lines when graphed. All the segments, except segment 4, show straight-line, linear relationships.

As section 4 is curved, it show nonlinear relationship.

Quayleen wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would she require?​

Answers

[tex]\bullet\:{\boxed{\tt{\red{{Given :}}}}}[/tex]

Length of the wooden box [tex](l)[/tex] = 80cm.

Breadth of the wooden box [tex](b)[/tex] = 40cm.

Height of the wooden box [tex](h)[/tex] = 20cm.

Side of the square sheet paper = 40cm.

[tex]\bullet\:{\boxed{\tt{\red{{To : Find :}}}}}[/tex]

The number of sheets required.

[tex] \bullet\:{\boxed{\tt{\red{{Formula \: \: used :}}}}}[/tex]

[tex] \star{\underline{\boxed{{\sf{{{TSA}} = \underline{\underline{{\purple\sf 2(lb+bh+hl)}}}}}}}} \star[/tex]

[tex]\star{\underline{\boxed{{\sf{{{Area \: of \: square}} = \underline{\underline{{\purple{\sf side \times side }}}}}}}}}\star[/tex]

[tex]\star{\underline{\boxed{{\sf{{{Number \: of \: sheets \: required} = {{{\purple{\sf \dfrac{TSA}{area \: of \: one \: sheet}}}}}}}}}}} \star[/tex]

[tex] \bullet\:{\boxed{\tt{\red{{Concept :}}}}}[/tex]

As Quayleen wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. So for knowing the number of sheets required, we need two things one the TSA and Area of one sheet. Once, we will get the values we will divide them to get the answer. Let's Start !!

[tex] \bullet\:{\boxed{\tt{\red{{Solution :}}}}}[/tex]

As we know that ::

Total surface area of cuboid [tex]\large[ \sf 2(lb+bh + hl)][/tex]

Here,

✧ Length [tex](l)[/tex] = 80cm

✧ Breadth [tex](b)[/tex] = 40cm

✧ Height [tex](h)[/tex] = 20cm

Now, by putting the values we get :

[tex] \longrightarrow 2 \bigg[ (80 \times 40) + (40 \times 20) + (20 \times 80) \bigg]\sf {cm}^{2}[/tex]

[tex]\longrightarrow 2 \bigg[ (3200) + (800) + (1600) \bigg] \sf {cm}^{2} [/tex]

[tex] \longrightarrow 2 \bigg[ 5600 \bigg] \sf {cm}^{2} [/tex]

[tex] \longrightarrow 11200 \: \sf {cm}^{2}[/tex]

Hence, the total surface area of the wooden box is 11200 cm²

Now,

The area of each sheet of paper will be :

[tex] \sf \longrightarrow side \times side[/tex]

[tex]\sf \longrightarrow (40 \times 40) \: {cm}^{2} [/tex]

[tex]\longrightarrow \sf (1600) \: {cm}^{2} [/tex]

Hence, the area of each sheet of paper is 1600 cm²

Now,

For finding the number of sheets required

[tex] \longrightarrow \tt \dfrac{total \: surface \: area \: of \: box}{ area \: of \: one \: sheet} [/tex]

[tex]\longrightarrow \sf\dfrac{ \cancel{11200}_{7}}{\cancel{1600}_{1}}[/tex]

[tex] \longrightarrow \purple{ \sf 7}[/tex]

Therefore, Quayleen requires 7 sheets.

[tex]\rule{280pt}{2pt}[/tex]

The following data shows the temperature of a city, in degrees Celsius, on consecutive days of a month:

8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4

Which box plot best represents the data? (1 point)

Answers

SECOND ONE

Step-by-step explanation:

Trust me

The second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have a box plot shown in the picture.

The data:

8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4

From the data given:

The minimum value = 8.2

The maximum value = 8.9

Q1 = 8.3

Q2 = 8.4

Q3 = 8.5

As we can see in the second box plot this data is represented.

Thus, the second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.

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Look at the diagram. Which of the following is another name ∠2?



∠CDB

∠BCD

∠DCB

∠DBC

Answers

The other name for angle 2 is ∠DBC

The correct option is (D)

What is Angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

We know that while naming the angle we have to consider the point where the angle is made should be at center.

Hence, the angle 2 can also be written as ∠DCB.

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Find x, y, and z. Help me please :)​

Answers

Answer:

x = 58°

z = 60°

y = 29( 58°)

Step-by-step explanation:

The arrows on the lines are trying to tell you that these lines are parallel to each other, whenever you see parallel lines think of *FUN* method

2y = 58° (alternate angles)

y = 29

x = 58° (alternate angles)

62° + 58° + z = 180° (sum of angles on a triangle)

120° + z = 180°

z = 60°

I need a written answer for all three questions please.

Answers

The values of the trigonometry ratios are:

cos α = - 5/13 and cot α = 5/12cot α = -5/12 and sec α = 13/5

How to solve the trigonometry ratios?

1: sin α = -12/13 and tan α > 0, find cos α and cot α

Because tan α > 0, then it means that cos α and sin α are negative

So, we have:

sin²α + cos²α = 1

Substitute sin α = -12/13

(-12/13)² + cos²α = 1

This gives

cos²α = 1 - (-12/13)²

Evaluate the squares

cos²α = 1 - 144/169

Evaluate the difference

cos²α = 25/169

Take the square root of both sides

cos α = - 5/13

The cotangent ratio is represented as:

cot α = cos α/sin α

This gives

cot α = (-5/13)/(-12/13)

Evaluate

cot α = 5/12

Hence, cos α = - 5/13 and cot α = 5/12

2: tan α = -12/5 for α in quadrant IV, find sec α and cot α

Because α is in quadrant IV, then it means that sec α is positive

cot α = 1/tan α

This gives

cot α = 1/(-12/5)

Evaluate

cot α = -5/12

Also, we have:

sec²α = 1 + tan²α

Substitute tan α = -12/5

sec²α = 1 + (-12/5)²

Evaluate the squares

sec²α = 1 + 144/25

Evaluate the sum

sec²α = 169/25

Take the square root of both sides

sec α = 13/5

Hence, cot α = -5/12 and sec α = 13/5

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Angle AMO is 50 degrees. If ray MB bisects angle AMO, what would be the measure of angle AMB?​

Answers

The answer I’m guessing would be 25 since it’s bisecting the angle in the middle

Which of the following represents the synthetic division form of the long division problem below? (2x ^ 3 - 6x ^ 2 + 4x + 7)/(x + 3)

Answers

The answer would be C

Given that the sum to infinity of a G.P. is 10. If the first term of the series is given as 5, determine the 3rd term.

Answers

Answer:

a₃ = 1.25

Step-by-step explanation:

the sum to infinity is calculated as

S ∞ = [tex]\frac{a_{1} }{1-r}[/tex]

a₁ is the first term and r the common ratio

given a₁ = 5 and S∞ = 10 , then

10 = [tex]\frac{5}{1-r}[/tex] ( multiply both sides by (1 - r)

10(1 - r) = 5

10 - 10r = 5 ( subtract 10 from both sides )

- 10r = - 5 ( divide both sides by - 10 )

r = 0.5

then

a₂ = a₁ × r = 5 × 0.5 = 2.5

a₃ = a₂ × r = 2.5 × 0.5 = 1.25

A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 2 of the recall, the manufacturer fixed 192 cars. In week 4, manufacturer fixed 184 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week at the mechanic.

f(x) = 4x + 200
f(x) = 2x + 192
f(x) = −4x + 200
f(x) = −2x + 192

Answers

Answer:

the answer is f(x)=2x+192

Answer:

The answer is F(x)=2x+192

In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94°. Based on the information that is provided, which could be a correct set of sides for this set of angles?
side QR = 7 cm , side RS = 10 cm , side QS = 12.6 cm
side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm
side QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Answers

Answer:

side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Step-by-step explanation:

The side opposite to biggest angle is the longest side

         In ΔQRS,

∠S > ∠R > ∠Q

∠S is the biggest and ∠ Q is the smallest angle.

So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.

QR > QS > RS

QR = 12.6 cm  ; QS = 10 cm and  RS = 7 cm

What is the inverse of the fraction FX = 1/4 x = -12

Answers

The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.

The complete question is attached below.

What is inverse of a function?

Suppose that the given function is

f: X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

 f⁻¹: Y → X

It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'

The function is given below.

f(x) = (1/4)x – 12

Then the inverse function of the function f(x) will be

(1/4)f⁻¹(x) - 12 = x

            f⁻¹(x) = 4x + 48

Then the correct option is D.

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Find the value of x. Then find the measure of each labeled angle.

Answers

Answer:

x = 70 and the labeled angles are 110 and 70

Step-by-step explanation:

This is a trapezoid, the bases are parallel.

Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:

x + 40 + x = 180 add like terms

2x + 40 = 180 subtract 40 from both sides

2x = 140 divide both sides by 2

x = 70 and the labeled angles are 110 and 70

Calculate the a) total tax rate, and b) sales tax.

Answers

The total tax rate and the sales tax will be given below.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Total selling price (TSP), State tax rate (STR), City tax rate (CTR), Total tax rate (TTR) and Sales tax (ST).

The table complete table is given below.

Item                            TSP            STR        CTR           TTR              ST

Clothing                     $81.39            3%        0%            3%            $2.44

Cell phone               $159.95           5%        0%            5%            $7.99

MP3 player               $195.55          4%         2%            6%           $11.73

Computer                $1599.75      4.88%     1.50%       6.38%      $102.06

Take-out                   $49.85         8.13%    2.50%      10.63%        $5.29

Pickup truck          $38,526.42    6.50%    1.25%        7.75%     $2985.79

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The lines shown below are perpendicular. If the green line has a slope of
1/7 what is the slope of the red line?
A.7
B.1/7
C.-7
D. -1/7

Answers

Answer:

c: -7

Step-by-step explanation:

the slope of a perpendicular line is the negative reciprocal of the original line

a way to find this is to flip the numerator and the denominator of a slope and make it negative

1/7 --> 7 --> -7

that would be your slope

Can someone pls help me with this fast thank you​

Answers

Answer: Yes

Step-by-step explanation:

[tex]\frac{123}{2}=\frac{246}{4}=\frac{369}{6}=\frac{492}{8}=61.5[/tex].

Since the ratio of distance in miles and the time in hours is constant, the relationship is proportional.

When the greatest common divisor and least common multiple of two integers are multiplied, the product is 180. How many different values could be the greatest common divisor of the two integers

Answers

The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

How to find the greatest common divisor?

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

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