Lawrence sells 40% of the apples on his cart, and are left with 420 apples. How many apples had Lawrence started with?

Answer:

Two consecutive even terms and LCM = 180

Let’s assume the two terms:

1st term : 2x

2nd term : 2x + 2

There is a rule which states that

If ‘a’ and ‘b’ are two numbers, then their product is equal to the product of their LCM and HCF.

i.e,

a∗b=HCF∗LCM  - (i)

We can logically say that the HCF of any two consecutive even numbers is always equal to ‘2’ provided that the smallest no. is at least ‘2’.

i.e.,

HCF of ‘2x’ and ‘2x + 2’ is ‘2’ - (ii)

Therefore,

from (i) and (ii),

2x∗(2x+2)=  HCF * LCM

2x∗(2x+2)=2∗180  

x∗(2x+2)=180  

2x2+2x−180=0  

Solving the quadratic equation we get,

x=9,−10 (we discard -10 since it is negative)

Therefore, the numbers are

2∗9=18  (1st no.)

2∗9+2=18+2=20  (2nd no.)

Answer :  18,20

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11

Answer: 133,827 lb/ft^3

Step-by-step explanation:

V = (4/3) (3.14)(8^3) = 133,827

Answer:

mate....where is red shaded region....

probably this will help ..... ;)

find the probability that a randomly selected point within the circle falls in the red shaded area

https://brainly.com/question/14113463?utm_source=android&utm_medium=share&utm_campaign=question

Answer:

True

Step-by-step explanation:

Office resources can be defined as all those means, facilities or equipments, including manpower that are utilized in the operation of various office procedures on a daily basis. Thus, office resources comprises means of communication, means of transportation, manpower (workers or employees), furniture, computer, etc.

Basically, the proper and efficient utilization of office resources determine the level of success that would be achieved in any office.

In Business management, office resources are generally grouped into five (5) main categories and these include;

I. Communication.

II. Transportation.

III. Material and office supplies.

IV. Sources of income (finance).

V. Manpower (human resources).

Manpower is also referred to as human resources or office personnels and it can be defined as the total number of people working from the lower hierarchy to top hierarchy of an organization, engaged in various jobs or tasks at different levels.

Basically, manpower is considered to be the most important type of office resources because it is vital for achieving the organizational goal.

This ultimately implies that, the most valuable assets of an organization is its qualitative manpower because it comprises human competence, skills and knowledge.

Answers:

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

Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that [tex]-4 < x \le 3[/tex]. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval [tex]-4 < x \le 3[/tex] then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

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

The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is [tex]-5 < y \le 5[/tex]. This condenses into the shorthand of (-5, 5] which is the range in interval notation.

Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.

Answer:

Hello,

Step-by-step explanation:

Domain(f)= ]-4;3]={x€R | -4<x≤3}

Rang(f)=]-5;5]={y€R | -5< y ≤5}

Answer:

A

Step-by-step explanation:

The inscribed angle IJK is half the measure of its intercepted arc, so

arc IK = 2 × 75° = 150°

The 3 arcs sum to  360° , then

arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A

Answer:

1. -4

2. 8/ 5 - 1. 6

Step-by-step explanation:

1 . 3 × -4  

    = (-12)

2. 2/5 × 4

  = 8 / 5

  = 1.6

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

Step-by-step explanation:

The given table is presented as follows;

[tex]\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}[/tex]The number of laps in the range 82 to 84 seconds = 1

The number of laps in the range 84 to 86 seconds = 4

The number of laps in the range 86 to 88 seconds = 2

The number of laps in the range 88 to 90 seconds = 4

The number of laps in the range 90 to 92 seconds = 6

The number of laps in the range 92 to 94 seconds = 5

The number of laps in the range 94 to 96 seconds = 2

The number of laps in the range 96 to 98 seconds = 0

Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

Answer: A.

Step-by-step explanation: On Edge!

Step-by-step explanation:

see the answer in attached picture

pls mark me as brainliest pls

Answer:

If two machine works together it takes 180 minute to complete 6480 shirts

Step-by-step explanation:

2400 ÷ 150 = 6

So here,

1st machine produces 20 shirts per minutes

let, x=minutes for shirt's production

Now,

(16+20)x=6480

36x=6480

x=6480/36

Therefor, x=180 minutes

Answer:

The answer is 75

Step-by-step explanation:

3/8*200=75.

Answer:

u can use pythagoras or sine rule

Step-by-step explanation:

cos-1(9/11)

Step-by-step explanation:

sin/cos=tan theta.It is the value of the safety angle

Answer:

kslskd बोडलालामसूनिविवल

Answer:

Step-by-step explanation:

1. arc length

2. semicircle

3. minor arc

4. arc measure

5. circumference

6. radius

7. diameter

HOPE THIS HELPS

Answer:arc length

2. semicircle

3. minor arc

4. arc measure

5. circumference

6. radius

7. diameter

Step-by-step explanation:

We could find the error first, but if we solve the equation, we can compare our answers to find the error. So,

7x + 12 + 3x = 8

10x + 12 = 8

10x = -4

x = -4/10

x = -2/5.

When we compare the two, we see that our second line is vastly different, and we can easily isolate the mistake, finding that it occurs when they disregard the variable in the 3x term and subtract 8 by 3 rather than combining the terms 3x and 7x together.

Answer:

x=-4/10 = -2/5

Step-by-step explanation:

7x+12+3x=8

(7x+3x) =8-12

10x=-4

x=-4/10

x= -2/5

Answer:

Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5

Step-by-step explanation:

Answer:

-10 - 6p

Step-by-step explanation:

-12 - 6р - (-2)

~Combine like terms

-10 - 6p

Best of Luck!

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]

In this question, an amount is divided between three parts. From this, relations between the variables are used to find the amount corresponding to each part.

Sum of 1110 between A, B and C:

This means that:

[tex]A + B + C = 1110[/tex]

For every rs 8 given to A,B may get Rs 5

This means that:

[tex]\frac{A}{B} = \frac{8}{5}[/tex]

And thus:

[tex]5A = 8B[/tex]

[tex]A = \frac{8B}{5}[/tex]

For every Rs 7 given to B ,C may get rs 4​

This means that:

[tex]\frac{B}{C} = \frac{7}{4}[/tex]

And thus:

[tex]7C = 4B[/tex]

[tex]C = \frac{4B}{7}[/tex]

Amount of B:

Replacing into the original equation:

[tex]A + B + C = 1110[/tex]

[tex]\frac{8B}{5} + B + \frac{4B}{7} = 1110[/tex]

[tex]\frac{56B + 35B + 20B}{35} = 1110[/tex]

[tex]111B = 1110*35[/tex]

[tex]B = \frac{1110*35}{111}[/tex]

[tex]B = 350[/tex]

Amounts of A and C:

A and C are given as functions of B, so:

[tex]A = \frac{8B}{5} = \frac{8*350}{5} = 560[/tex]

[tex]C = \frac{4B}{7} = \frac{4*350}{7} = 200[/tex]

Thus:

The amount given to A is of Rs 560, to B is of Rs 350 and to C is of Rs 200.

For another problem involving divisions given ratios, you can check https://brainly.com/question/23857756.

A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.

In this problem, we must translate the sentences into mathematical expression. Please notice that systems of linear equations are resoluble if the number of formulas equals the number of variables. In other words, we must have three linear equations for three variables:

1) Divide a sum of RS 1110 between A, B, C:

[tex]a + b + c = 1110[/tex] (1) Var: 3, Eqs: 1  

2) So that for every RS 8 give to A, B may get RS 5:

[tex]\frac{a}{b} = \frac{8}{5}[/tex]

[tex]5\cdot a - 8\cdot b = 0[/tex] (2) Var: 3, Eqs: 2

3) And for every RS 7 given to B, C may get RS 4:

[tex]\frac{b}{c} = \frac{7}{4}[/tex]

[tex]4\cdot b -7\cdot c = 0[/tex] (3) Var: 3, Eqs: 3

Now we solve the resulting system, the solution set of the system is:

[tex]a= 560[/tex], [tex]b = 350[/tex], [tex]c = 200[/tex]

A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.

Answer:

See explanation

Step-by-step explanation:

Maximum weight = 20 kg

Bag 1 = 3.5kg

Bag 2 = 15 kg

Bag 3 = 2kg

Bag 4 = 1.5kg

Total weight of bags = 22 kg

Excess weight of his luggage = Total weight of bags - Maximum weight

= 22 kg - 20 kg

= 2 kg

Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100

= 2/20 × 100

= 0.1 × 100

= 10%

Express the excess weight as a percentage of his maximum weight allowed = 10%

Answer:

B

Step-by-step explanation:

The angle in a semicircle is 90° , then

x = 180° - (90 + 47) = 180° - 137° = 43° → B

Answer:

B. 43

Step-by-step explanation:

ignore the other triangle with the y angle. it is just there to confuse us.

the main information is given already by the main triangle with the angles x and 47 degrees.

because it's baseline is the diameter of a circle, and its top point is also on the circumference of the same circle.

all triangles that can be inscribed into a circle that way are by definition right-angled triangles.

so, the angle at the top point is actually 90 degrees.

and as we know, the sum of all angles in a triangle is always 180 degrees, we can simply calculate :

180 = 90 + 47 + x = 137 + x

x = 43 degrees

that's it.

Answer:

y: 1, -3, -7, -11, -15

Step-by-step explanation:

Substitute the value of x in the chart for the formula given:

y = -4x + 1

For the first column in the x-row, do the following

y = -4(0) + 1

y = 1

And...

y = -4(1) + 1

y = -3

And so on.

please mark this answer as brainlist

Answer:

6

Step-by-step explanation:

They got 3x-12 because they took

3(x - 4)

and they distrubuted the 3 to the numbers in parenthesis,

how they did this was they multiplied 3 by x and got 3x then they kept the subtraction sign that is in the parenthesis. Then they multiplied 3 by the 4 and got 12.

then the equation was 3x - 12/2 = 6

Answer:

x=8

Step-by-step explanation:

[tex] \frac{3(x - 4)}{2} = 6[/tex]

Multiply 3 by what's in the bracket

[tex] \frac{3x - 12}{2} = 6[/tex]

Multiply through by the LCM of all the denominators

[tex] \frac{2(3x - 12)}{2} = 2 \times 6[/tex]

=The numerator 2 will cancel the denominator 2

[tex]3x - 12 = 12[/tex]

Grouping like terms

[tex]3x = 12 + 12[/tex]

Dividing both sides by 3

[tex] \frac{3x}{3 } = \frac{24}{3} [/tex]

[tex]x = 8[/tex]

Answer:

y=3x

Step-by-step explanation:

The equation of the line is y=3x

Answer: P (3 or 9) = 1/6

Step-by-step explanation:

Concept:

Here, we need to know the idea of probability.

Probability is a measure of the likelihood of an event to occur.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

The numbers on a dice: 1, 2, 3, 4, 5, 6

Total numbers = 6

Number of 3 = 1

Number of 9 = 0

P (3 or 9) = Favorable / Total (refer to the attachment below)

P (3 or 9) = (1 + 0) / (6)

P (3 or 9) = 1 / 6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y = 3 + 0.40x

Step-by-step explanation:

Fixed cost of taxi fare = $3

Additional cost = $0.40

Let

y = Total cost

x = number of kilometers

The equation:

Total cost = Fixed cost of taxi fare + (Additional cost * number of kilometers)

y = 3 + 0.40x