Jonah bought 4 boxes of donuts that each contained 12 donuts. When he gets to work, he will serve the donuts on 5 plates. If he puts the same number of donuts on each plate, what is the greatest number of donuts he could put on each plate?

Answer:

7

Step-by-step explanation:

The sides are in proportion.

Answer:

7

Step-by-step explanation:

Given,

△ABC ~ △DEF

( ~ means similar )

To find : missing side length

Similar triangle rule : -

If two triangles are similar, their corresponding sides are similar.

So,

AB ~ DE

BC ~ EF

AC ~ DF

Let the missing side length ( DF ) be " x ".

Note : -

When the corresponding sides are divided, their ratios will be same.

That is,

AB / DE

= 20 / 4

= 5 / 1

= 5 : 1

BC / EF

= 40 / 8

= 5 / 1

= 5 : 1

AC / DF should also be equal to 5 : 1.

AC / DF = 5 : 1

35 / x = 5 / 1

Cross multiply,

x * 5 = 35 * 1

5x = 35

Divide 5 on both sides,

x = 35 / 5

x = 7

Therefore,

the missing side length is 7.

Answer:

  A) u=<9, 7>; v=<8, -2>

  B) u+v = <17, 5>

  C) 5u-2v = <29, 39>

Step-by-step explanation:

The component form of a 2-dimensional vector is usually written as an ordered pair with the horizontal component listed first. When vectors are added or subtracted, or multiplied by a scalar, the components are treated individually. Angle brackets may be used to signify the ordered pair represents a vector.

__

The horizontal and vertical dimensions of each of the vectors can be found by subtracting their coordinates, or by counting grid squares. Up or right is positive. The tail coordinates are subtracted from the head coordinates.

  u = <11 -2, 1 -(-6)>

  u = <9, 7>

  v = <13 -5, 6 -8>

  v = <8, -2>

__

The sum is the sum of the individual coordinates:

  u +v = <9, 7> +<8, -2> = <9 +8, 7 -2>

  u +v = <17, 5>

__

The weighted sum is the weighted sum of the individual coordinates:

  5u -2v = 5<9, 7> -2<8, -2> = <5(9) -2(8), 5(7) -2(-2)>

  5u -2v = <29, 39>

_____

Additional comment

Vector operations can often be conveniently done on a calculator by considering them as complex numbers. The vertical component corresponds to the imaginary component of a complex number.

Answer:

14440cm3

Step-by-step explanation:

Answer:

II. a = 6 , b = 9.1 , c = 10.9

Step-by-step explanation:

I. a = 1.2 , b = 3.5 , c= 3.6

c² = a² + b²

3.6² = 1.2² + 3.5²

12.96 = 1.44 + 12.25

12.96 ≠ 13.69

These sides cannot create a right triangle.

II. a = 6 , b = 9.1 ,c = 10.9

c² = a² + b²

10.9² = 6² + 9.1²

118.81 = 36 + 82.81

118.81 = 118.81

Therefore, these sides can create a right triangle.

III. a = 6 , b = 8 , c = 9

c² = a² + b²

9² = 6² + 8²

81 = 36 + 72

81 ≠ 108

These sides cannot create a right triangle.

This is like a linear equation, (y = mx + b) where the cost per month is 25, and our b is the 80 to join in the first place:

y = 20x + 80

You did not share how much was paid for the membership, but if you put the total cost into y, then you can solve for x. Or you can find the total cost by entering in the number of months for x.

Answer:

Equation given

80+25(y)=x

y= Per month(So the amount of months that passed)

x=Total amount

Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.

The mean of the 6 test scores is first calculated as follows:

Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68

We can now calculate the MAD of the test scores as follows:

MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0

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Answer:

(-4,-6)

Step-by-step explanation:

For x, the middle point between   -2  and  -6   is      -4

for y the middle point between  -4  and -8   is  -6  

1/2,4/3,8/5

Step-by-step explanation:

when u find the lowest you will see that 8/5 and 4/3 have a higher numerator and when you simplify that u will get to 8/5=1 18/30and 1/2=1 and 1/3bwhuch gets you to the lowest

=========================================

Work Shown:

x/25 = 2/5

5x = 25*2

5x = 50

x = 50/5

x = 10

------------

Another approach:

x/25 = 2/5

x/25 = (2*5)/(5*5)

x/25 = 10/25

x = 10

------------

Yet another method:

x/25 = 2/5

x/25 = 0.4

x = 25*0.4

x = 10

Answer:

Slope is 1/5
y intercept is (0,0)

Answer:

$16.04

(see the answer for explanation)

The capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.

The entire value of gross fixed capital formation, changes in inventories, and acquisitions less disposals of assets for a unit or sector is used to calculate gross capital formation.

As we know, deducting the asset's or portfolio's acquisition price from the selling price yields the capital gain formula.

Thus, the capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.

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Hey there!

QUESTION #6.

3x = 27

DIVIDE 3 to BOTH SIDES

3x/3 =27/3

SIMPLIFY IT!
x = 27/3

x = 9

Therefore, the answer should be:

x = 9

QUESTION #7.

5x = 35

DIVIDE 5 to BOTH SIDES

5x/5 = 35/5

SIMPLIFY IT!
x = 35/5

x = 7

Therefore, the answer should be:

x = 7

QUESTION #9.
2x = 24

DIVIDE 2 to BOTH SIDES

2x/2 = 24/2

SIMPLIFY IT!

x = 24/2

x = 12

Therefore, the answer should be:

x = 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Formula:

In a square with sides each of length ‘a’ :

The diagonal D of the square = a√2

…………………………………………………………

The square ,in our example has 4 sides all of Length 4 ,then

D = 4√2

Answer:

83.4

Step-by-step explanation:

                     - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

             x-3<9

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

  ✩ First, add 3 on both sides:-

[tex]\it{x < 9+3}[/tex]

Which results in

[tex]\it{x < 12}[/tex]

So the values of x less than 12 will make this inequality true.

              - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The probability of correctly guessing at random exactly one correct answer will be 15%. Then the correct option is A.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A five-question multiple-choice quiz has five choices for each answer.

Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question.

Then the probability of correctly guessing at random exactly one correct answer will be

P (X = x) = ⁿCₓ × pˣ × (1 - p)⁽ⁿ⁻ˣ⁾

The probability of success will be 0.5. Then we have

P (X = 1) = ⁵C₁ × p¹ × (1 - p)⁽⁵ ⁻ ¹⁾

P (X = 1) = 0.15625

P (X = 1) = 15.625%

P (X = 1) ≅ 15%

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Answer:

-6 [tex]\sqrt{35}[/tex]

Step-by-step explanation:

Answer:

[tex]6\sqrt{35}i[/tex]

Step-by-step explanation:

Step-by-step explanation:

the area of garden is 970.08

Answer:

970. 08 [tex]ft^2[/tex]

Step-by-step explanation:

The rose garden is made up of 2 shapes: rectangle and a half-circle.

1. We start by finding the area of the rectangle...

2. Then find the area of the half-circle

3. Add the areas together

Joaquin's estimate for his score on the science test can either be 93.73 or 88.27.

Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.

Estimate of the score can either be greater than or less than 91.

Score estimate = (1.03 x 91) or (0.97 x 91) = 93.73 or 88.27.

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Answer:

Step-by-step explanation:

what is the mean age of a girl on the swimming team?​

adding the number of girls together and then dividing by the number of girls

(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =

107 : 7 = 15.28 (you can round at 15)

Answer:

2.7$

Step-by-step explanation:

The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles

From the question, we are to determine the total distance travelled by Finley on Saturday and Sunday

From the given information,

On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library

Total distance travelled on Saturday = 3.35 miles + 2.51 miles

Total distance travelled on Saturday = 5.86 miles

Also,

On Sunday, Finley rode the bus 2.12 miles to the art museum

Total distance travelled on Sunday = 2.12 miles

∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles

Total distance travelled on Saturday and Sunday = 7.98 miles

Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.

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radius= 10 m

the area of the given circle.

[tex]a = \pi {r}^{2} [/tex]

[tex]a = \pi \times {10}^{2} [/tex]

[tex]a = 314.15927 \: {m}^{2} [/tex]

[tex]a = 314 \: {m}^{2} [/tex]

therefore, the area of the given circle is 314 square meters.

[tex]\large\boxed{Formula: a= \pi{r}^{2}}[/tex]

In this question raduis is given so we'll simply have to solve.

Let's solve!

The area of a circle is π times the radius squared.

Substitute the values according to the formula.

[tex]a= \pi \times {10}^{2}[/tex]

[tex]a= 314.1592654 \: {m}^{2}[/tex]

Now, we can round off to the nearest whole number.

The value in tenths place is less than 5 so we won't have to round up.

Final answer:

[tex]\large\boxed{a= 314 \: {m}^{2}}[/tex]

Hence, the area of the circle given in the question is 314 square inches to the nearest whole number.

Answer:

=23/30

Step-by-step explanation:

5/6-2/5

Multiply 5/6 by 5 and -2/5 by 6

25/30-12/30

25-12/30

=13/30

Then he adds another 1/3

=13/30+1/3

multiply 1/3 by ten

=13/10 + 10/30

=13+10/30

=23/30

5/6-2/5-1/3=23/30

1/5 = 60/100 * x

1/5 * 100/60 = x

100/300 = x

1/3 = x

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

According to what we know, one-fifth is 60% of a number. Let us call that unknown number x. Since

[tex] \frac{1}{5} = 60\% \: \\ then \\ x = 100\%[/tex]

60% as a fraction is 6/10 or 3/5, in that case 100% as a fraction would be 5/5.

Recall: 60% = 3/5 and 100% = 5/5

therefore:

1/5 = 3/5

x = 5/5

note in order to find the value of x we cross multiply*

[tex] \frac{1}{5} ( \frac{5}{5}) = \frac{3}{5} x[/tex]

[tex] \frac{1}{5} = \frac{3}{5} x \\ \\ \frac{ \frac{1}{5} }{ \frac{3}{5} } = \frac{ \frac{3}{5} }{ \frac{3}{5} } x \\ \\ \frac{1}{5} \times \frac{5}{3} = x[/tex]

[tex] \frac{1}{3} = x[/tex]

Answer:

Leading term:

5y^3

Leading coefficient:

5

Constant term:

-1

Step-by-step explanation:

5y^3 -4y -1

The leading term is the term with the highest power of the variable

5y^3 is the leading term

the leading coefficient is the number in front of the highest power of the variable

5 is the leading coefficient

The constant term is the number alone

-1 is the constant term

Answer:

>.

Step-by-step explanation:

3.9 is  greater than 9/10 ( = 0.9)