find the highest number of student of whom 125 apples, 150 oranges and 225 mangoes can be divided equally​

Answers

Answer 1

Answer:

25

Step-by-step explanation:

find the greatest common factor (GCF) of the 3 quantities using prime factorisation.

125 = 5 × 5 × 5

150 = 2 × 3 × 5 × 5

225 = 3 × 3 × 5 × 5

Next, identify those prime factors that the 3 numbers have in common and multiply them.

the common factors are 5 × 5 = 25

then

125 ÷ 25 = 5

150 ÷ 25 = 6

225 ÷ 25 = 9

the 25 students each get 5 apples, 6 oranges and 9 mangoes


Related Questions

Which of the following is the domain and range of the ellipse with equation x2 + 4y2 – 2x + 16y – 19 = 0?

D: [–1, 5]; R: [–7, 5]
D: [–5, 7]; R: [–5, 1]
D: [–5, 1]; R: [–5, 7]
D: [–7, 5]; R: [–1, 5]

Answers

The option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7], and the range is R: [–5, 1]

What is an ellipse?

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have an ellipse equation:

[tex]\rm x^{2}+4y^{2}-2x+16y-19=0[/tex]

We can write the above equation as:

[tex]\rm \dfrac{\left(x-1\right)^{2}}{36}+\dfrac{\left(y+2\right)^{2}}{9}=1[/tex]

The domain will be:

D: [–5, 7]

The range will be:

R: [–5, 1]

Thus, the option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7] and the range is R: [–5, 1]

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which is the most appropriate Venn diagram...

Answers

The most appropriate Venn diagram is known to be option b in the image shown.

What is a common multiple?

A Common multiples are known to be the multiples that are said to be common to two or that have more numbers in them.

The Least Common Multiple ( LCM ) is known to be a term that connote  the Lowest Common Multiple ( LCM ) and also that has the Least Common Divisor ( LCD).

From the image shown the lowest multiples are 5², 2⁶, 3 while the greatest common factor is 2⁶.

Option B is correct because the greatest common factor which is  2⁶ can only be found in the middle and this was gotten when you add:

2³ . 2³

Collect like terms

2 ³⁺³

2⁶

Therefore, the greatest common factor which is  2⁶

To get the  Least Common Multiple, one need to add all the factors in the Venn diagram which are therefore:

5², 2³ . 2³, 3

=5², 2 ³⁺³, 3

=5², 2⁶, 3

Therefore, The most appropriate Venn diagram is known to be option b in the image shown.

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2x+3y=4 cual es la respuesta??

Answers

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

Voy a suponer que necesitas resolver para y.

2x + 3y = 4

3y = -2x + 4

y = -2/3x + 4/3

Select the correct answer.
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system?
OA. The lines in a system cannot be parallel.
There are infinitely many solutions.
B.
OC. There is exactly one solution.
D. There is no solution.
Reset
Next

Answers

Answer:

Look below!

Step-by-step explanation:

From the picture, the answer is A.

From the points, calculate the slope using y2-y1/x2-x1

you will find that the slope is -1

parallel lines have the same slope

so y = -x+1 is the correct answer

now,

parallel lines never intersect

therefore, they have no solution.

Is 9.3 X 100^9 in scientific notation

Answers

Answer:

No.

Step-by-step explanation:

This problem in scientific notation would be 9.3 * 10^10.

Brainliest to who answers :>

Answers

Answer:

L is not valid.

Step-by-step explanation:

For any triangle, the sum of the two legs must be greater than the hypotenuse. Otherwise the two legs would not be long enough to touch.

Answer:

L

Step-by-step explanation:

to add to the previous basically correct answer :

for a triangle the sum of any 2 sides must be greater than the third side (not just legs and Hypotenuse).

for all other options any combination of sum of 2 sides being bigger than the third side works.

but for L

2 + 5 = 7, which is smaller than the third side (8). so, this cannot be a triangle.

What should you substitute for y in the second equation (bottom equation) in order to solve the system by the substitution method?​

Answers

Answer:

C. 3x - 9

Step-by-step explanation:

3x – y = 9 ___(1)

8x – 4y = 0 ___(2)

From (1) eq.

3x – y = 9

– y = 9 – 3x

y = - (-3x + 9)

y = 3x – 9

Hence, 3x - 9 should be substituted in the second equation to get the required answer.

Answer:

c

Step-by-step explanation:

solve for y in the first equation

y = 3x - 9

when you substitute, you will get a value of 9 for x and 18 for y

Choose the single logarithmic expression that is equivalent to the one shown. log6 25 − log6 5

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: log_{6}(5) [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: log_{6}(25) - log_{6}(5) [/tex]

[tex]\qquad \tt \rightarrow \: log_{6}(5) {}^{2} - log_{6}(5) [/tex]

[ property : x² = 2 log x ]

[tex]\qquad \tt \rightarrow \: 2 \: log_{6}(5) {}^{} - log_{6}(5) [/tex]

[tex]\qquad \tt \rightarrow \: log_{6}(5) [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
12
4
77-7/22
12
12
3
12
03-1/2/
4

Answers

The proportion that can be used to represent the given statement is [tex]\frac{3}{1} =\frac{12}{4}[/tex]

Given that there are 3 feet in 1 yard, which is equivalent to 12 feet in 4 yards.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

We need to determine the proportion that can be used to represent this.

Now, 1 yard = 3 feet implies  4 yards = 12 feet.

The required proportion can be written as [tex]\frac{3}{1} =\frac{12}{4}[/tex].

Therefore, the proportion that can be used to represent the given statement is [tex]\frac{3}{1} =\frac{12}{4}[/tex].

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The length of a rectangle is five more than the width. The area is 66 square meters. Find the length and width. =

Answers

Answer:

It doesn't say anything about "Length" and "Width".

Step-by-step explanation:

Brainlest . Just press the .

Answer: We can take 2 common we could also write this as 2 times X plus y.

Step-by-step explanation:

square root of the quantity x plus 7 end quantity minus 11 equals 2

Answers

An equation is formed when two equal expressions are equated together. The value of x in the equation [√(x+7)]-11=2 is 162.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution for x in the equation [√(x+7)]-11=2 can be solved as,

[tex]\sqrt{x+7}-11=2\\[/tex]

Using the addition property of equality,

[tex]\sqrt{x+7} -11+11= 2+11\\\\\\\sqrt{x+7} = 13[/tex]

Squaring both the sides of the equation,

x + 7 = 169

Using the subtraction property of equality,

x + 7 - 7 = 169 - 7

x = 162

Hence, the value of x in the equation [√(x+7)]-11=2 is 162.

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As an inventory manager, you must decide on the order quantity for an item. Its annual demand is 679 units. Ordering costs are $7 each time an order is placed, and the holding cost is 10% of the unit cost. Your supplier provided the following price schedule. Quantity Price per Unit 1 - 100 $5.65 101 - 350 $4.95 351 or more $4.55 What ordering-quantity policy do you recommend

Answers

The ordering-quantity that should be recommended will be 117 units.

How to calculate the order quantity?

The following can be deduced from the information given:

Demand = 679

Ordering cost = 7

Holding cost = 10%

Ordering quantity will be:

= ✓(2 × Demand × Ordering cost / Holding cost)

= ✓(2 × 679 × 7/0.1)

= ✓13580

= 116.53

= 117

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If REX ~ ROB, find the value of a.​

Answers

Answer: 8

Step-by-step explanation:

As corresponding sides of similar triangles are proportional,

[tex]\frac{RX}{RB}=\frac{XE}{BO}\\\\\frac{6}{15}=\frac{a}{20}\\\\a=20\left(\frac{6}{15} \right)=\boxed{8}[/tex]

[Question 10]
Two banks calculate the yearly interest they pay customers.
Westminster Bank
4% of the total that you invest
For example: Invest £700
Interest = 4% of £700.
Ashna has £500 to invest for one year.
Work out which bank will pay her more interest.
State how much extra interest she will earn.
District Bank
(4 marks]
1% of the first £300 that you invest and
6% of the amounts over £300 that you invest.
For example: Invest £700
Interest 1% of £300 + 6% of £400,

Answers

Answer:

yes

Step-by-step explanation:

because bank

Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid?
A. A cross section cut parallel with the bottom
B. A cut parallel to the vertical axis, but off the vertical axis
C. Cutting off one of the bottom corners
D. A cut parallel to the vertical axis, directly through the vertical axis

Answers

The answer is c …………………

Please please help asap I’ll make I brainliest

Answers

Answer: [tex]x=5\sqrt{3}[/tex]

Step-by-step explanation:

As the triangle is equilateral, we know that all sides have a length of 10. Thus, if we consider either of the right triangles, we know they have legs of lengths 5 and x (since an altitude of an equilateral triangle bisects the side it is drawn to), and a hypotenuse of 10.

Thus, by the Pythagorean theorem,

[tex]5^{2}+x^{2}=10^{2}\\\\25+x^{2}=100\\\\x^{2}=75\\\\\boxed{x=5\sqrt{3}}[/tex]

Given the first degree function f(x) = 2x +3, what is the value of f(10)?
a) 23
b) 25
c) 30
d) 50​

Answers

Answer:

a

Step-by-step explanation:

substitute x = 10 into f(x) , that is

f(10) = 2(10) + 3 = 20 + 3 = 23

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

[tex]\large \bold {ANSWER}[/tex]

[tex]\boxed{\underline{\huge{\tt{\orange{\: \: a)23 \: \: }}}}}[/tex]

[tex]\large \bold {SOLUTION}[/tex]

Given the first-degree function:

[tex]\Large\begin{array}{c}\rm f(x)=2x+3\end{array}[/tex]

We were asked to determine the value of f(10), so, to find its value, just replace the 10 where there is x in the function, see:

[tex]\begin{gathered}\Large\begin{array}{c}\rm f(x)=2x+3\\\\ \rm f(10)=2\cdot 10+3\end{array}\end{gathered}[/tex]

You see, we put that dot there, which indicates multiplication, because when a number is next to a letter it indicates that it is multiplying, thus:

[tex]\begin{gathered}\Large\begin{array}{c}\rm f(10)=2\cdot 10+3\\\\ \rm f(10)=20+3\\\\ \red{\boxed{\rm f(10)=23}}\checkmark\end{array}\end{gathered}[/tex]

Hence, the value of f(10) in this function is equal to 23.

Find the area of the shaded region
O100 m²
O 105 m²
O 75 m²
O 50 m²
5m
10 m.
5m
15 m

Answers

Answer: D. The area is 50 square meters if the shaded area looks like .

Explanation:
assuming this is a rectangle, the larger region area is 15*5= 75 square meters.
The smaller region’s area would be 10*5= 50 square meters.
• remember that A=lw, where l is length and w is width.


Without an illustration & on the assumption this is a rectangular region, here are the conclusions:
• given these two areas,
If the shaded area looks like , the area is just 50 square meters because the dimensions needed to solve for the area were given.
OR
• If the shaded region looks like subtract the smaller area from the larger one: 75-50= 25 square meters. (However, given that this is not an answer choice, I don’t think the illustration would look like this).

Which of the following is the difference of two squares?

A. 100m^2+9n^2
B.9x^2-12y^2
C. 16g-49h
D. 25a^2-36b^6

Answers

The difference of two squares expression is (d) 25a^2-36b^6

How to determine the difference of two squares?

The difference of two squares is represented as:

x^2 - y^2

Where x and y are perfect square expressions.

From the list of options, we have:

25a^2-36b^6

The terms of the above expression are perfect squares

i.e.

25a^2 = (5a)^2

36b^6 = (6b^3)^2

Hence, the difference of two squares expression is (d) 25a^2-36b^6

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2. A line goes through the points (4, 8) and (-4, 6).
(a) What is the slope of the line? Show your work
(b) Write the equation of the line in point-slope form. Show your work
(c) Write the equation of the line in slope-intercept form. Show your work.


Any body can help?

Answers

(a) [tex]\frac{6-8}{-4-4}=\frac{-2}{-8}=\boxed{1/4}[/tex]

(b) Using the point (4,8), we get [tex]\boxed{y-8=\frac{1}{4}(x-4)}[/tex]

(c) Rearranging into slope-intercept form,

[tex]y-8=\frac{1}{4}(x-4)\\\\y-8=\frac{1}{4}x-1\\\\\boxed{y=\frac{1}{4}x+7}[/tex]

Enter the correct answer in the box.
Function g has the same a value as function f, but its vertex is 2 units below and 3 units to the left.
f(x) = x² - 4x - 32
Write the vertex form of the equation modeling function g.

Answers

The equation in the vertex form of g(x) is:

[tex]g(x) = (x + 1)^2 - 38[/tex]

How to get the equation of function g?

We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).

So first, let's rewrite f(x) to its vertex form:

[tex]f(x) = x^2 - 4x - 32[/tex]

The vertex is at:

[tex]x = -(-4)/2*1 = 2[/tex]

The y-value of the vertex is:

[tex]f(2) = 2^2 - 4*2 - 32 = -36[/tex]

Then the vertex form of f(x) is:

[tex]f(x) = (x - 2)^2 - 36[/tex]

If we move this vertex 2 units below, and 3 units to the left, then we have:

[tex]g(x) = f(x +3) - 2\\\\g(x) = (x - 2 + 3)^2 - 36 - 2\\\\g(x) = (x + 1)^2 - 38[/tex]

That is the equation for g(x) in vertex form.

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100 students take a test. The mean score of the results is 88% with a standard deviation of 4%. Considering that the results were normally distributed, what is the median of the graph, what scores are within 2 standard deviations away, and how many student's scores would be within 1 standard deviation from the mean?

Answers

Using the Empirical Rule, it is found that:

Scores between 80% and 96% are within 2 standard deviations of the mean.68 scores are within one standard deviation of the mean.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Considering the mean of 88% and the standard deviation of 4%, the scores that are within 2 standard deviations of the mean are:

88 - 2 x 4 = 80%.88 + 2 x 4 = 96%.

68% are within 1 standard deviation of the mean, hence, out of 100:

0.68 x 100% = 68 scores.

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Use point-slope form − 1 = ( − 1) to find the equation of the line that passes through the point (−3,5) and has slope = −2 . Write the answer in slope-intercept form = + .

Answers

Answer:

y - 5 = -2(x + 3)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

point: (-3, 5)

slope (m): -2

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (5) = -2(x - (-3))

Simplify.

y - 5 = -2(x + 3)

This is your equation.

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Solve by applying the counting principle. James is choosing a Four-digit Passcode for his smartphone. How many different Passcodes are possible? There are Ten digits that James can choose from. Enter Solve by applying the counting principle . James is choosing a Four - digit Passcode for his smartphone . How many different Passcodes are possible ? There are Ten digits that James can choose from.​

Answers

Answer:

10k.

Step-by-step explanation:

1) if for the 1st position can be used 0-9 digits (10 digits), for the 2d - 0-9 digits, for the 3d - 0-9 digits and for the 4th - 0-9 digits, then

2) the required number of pwd is: 10*10*10*10=10⁴=10000.

What is the solution to the equation shown below?

-1/3(6x+6)+21=3y

Answers

Answer:

A or 19/5

Step-by-step explanation:

To solve first we isolate are variables so we distubte to get -2y-2+21=3y then we add 2y to the opposite side to get -2+21=5y. Then we add -2+21 to get 19 so are equation is 19=5y. Next we just divide 19 by 5 to get y=(19/5) or option A

-1/3(6y + 6)=3y-21
-6/3y - 6/3 = 3y-21 ( distribution)
-18y-18 = 3y - 21
———. ———
9. 1
-18y-18 = 27y - 189 ( cross product )
-18y - 27y= -189+18 (collecting like terms)
-45y = -171
——. ——- ( dividing both sides by 45 )
-45. -45.
y = 19
—-
5



[tex]\frac{5}{x+5}(2x-5(2))[/tex]

Answers

Answer: 10

Step-by-step explanation:

[tex]\frac{5}{x+5} (2x-5(2))\\\frac{5}{x+5} (2x-10)\\\frac{10x-50}{x+5}\\\frac{10(x+5)}{x+5} \\\frac{10}{1} \\10[/tex]

PLEASE HELP ME WITH MY MATH

Answers

The definition for the graphed function is the one shown in option d:

y = -x + 2   if x < 1

y = -2x + 1   if x  ≥ 1.

Which piecewise function coincides with the graph?

Here we have a piecewise function, where for the first part we have a linear equation with a negative slope (for x < 1, we know that the symbol "<" must be used because of the open dot at the end of the line).

Then, we have another linear equation with a negative (and steeper) slope. This time there is a closed dot, so the domain for this second part is x ≥ 1.

With that we can conclude that the correct option is:

d:

y = -x + 2   if x < 1

y = -2x + 1   if x  ≥ 1.

Where you can see that the second part has a larger (in module) slope, and the domains are defined as we saw above.

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Explain how to graph a scatterplot and its regression line using a regression calculator

Answers

Press the Linear Regression button to generate the regression line.

We have given that, regression line using a regression calculator

We have to determine how to graph a scatterplot and its regression line using a regression calculator.

Before entering data into the regression calculator, it is important to determine which variable should be associated with the x-axis and which with the y-axis.

What is the regression line?

Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

Enter the data pairs.

Press the Linear Regression button to generate the regression line.

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need to know asap


Which of the following best describes the correlation between two variables if the correlation coefficient is -0.544?

weak positive
weak negative
strong negative
strong positive

Answers

Its answer is weak negative

Drag each tile to the correect location on the table. Not all tiles will be used. Maych each quadratic function with the attributes of its graph.

Answers

Answer:

I believe you forgot to add a picture

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