HELP FOR 20 PTS.................................

Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole.

We know that Santosh sold 200 dotpens with a loss of 5 % and he must sell the remaining dotpens with an unknown surplus in order to obtain 10 % of the whole. The situation can be represented by the following expression:

[tex]-0.05\cdot (\frac{4500}{300} )\cdot (200) + x\cdot \left(\frac{4500}{300} \right)\cdot (100) = 0.10\cdot (4500)[/tex]  (1)

[tex]-150+1500\cdot x =450[/tex]

[tex]x = 0.4[/tex]

Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole. [tex]\blacksquare[/tex]

To learn more on linear equations, we kindly invite to check this verified question: https://brainly.com/question/17058347

Answer:

[tex](4k^2+7)(7k-6)[/tex]

Step-by-step explanation:

Factor each half of the expression separately:

[tex]4k^2(7k-6)+7(7k-6)[/tex]

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

[tex](4k^2+7)(7k-6)[/tex]

Answer:

[tex](7k - 6) (4k^{2} + 7)[/tex]

Step-by-step explanation:

[tex]28k^{3} - 24k^{2} + 49k - 42[/tex]

[tex]= (28k^{3} - 24k^{2}) + (49k - 42)[/tex]

[tex]= 4k^{2} (7k - 6) + 7 (7k - 6)[/tex]

[tex]= (7k - 6) (4k^{2} + 7)[/tex]

Answer:

I would say 3

Step-by-step explanation:

ABC is a scaled down triangle of AED

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Answer:

Width is 24, length is 40

Step-by-step explanation:

64 can be split into 8 groups of 8, and the 8 groups can be split into 3 and 5. Then, take 3 x 8 for the width and 5 x 8 for the length, and you have the answer! I wish to you best of luck!

Step-by-step explanation:

210 of 70%

or,210×70/100

or,147

Answer: The volume is 2 because 3/6 equals 2

Step-by-step explanation: you would do 3/6 which equals 2.

Answer:

Step-by-step explanation:

The relationship that exists between the length of the hypotenuse and the length of the legs is that the sum of both of the legs lengths squared is equal to the hypotenuse length's squared or in other words, the Pythagorean theorem.

[tex]6^{2} +8^{2} =10^{2}[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

4y=-48

-2x=8

x=28

y=-22

Answer:

Step-by-step explanation:

Using proportions, it is found that her satellite bill before the switch was of $240.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, she can pay a total of $180 per 300 channels, hence her price per channel will be of:

p = 180/300 = $0.6.

She currently pays $0.2 more, that is, $0.8, hence:

B = 300 x 0.8 = 240.

Her satellite bill before the switch was of $240.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

-4.2

Step-by-step explanation:

abc means multiplication becuase theyre together so -2.1 x 4 x 0.5 and that equals -4.2.

Answer:

see below for explanation:-

Step-by-step explanation:

[tex]abc[/tex]

[tex] - 2.1 \times 4 \times 0.5[/tex]

[tex] - 8.4 \times 0.5[/tex]

[tex] - 4.2[/tex]

Answer:

65

Step-by-step explanation:

9×(5+4) - ½ × 4 × 3 - ½ × 4×5

= 81-6-10

= 65

so the answer is 65(the area of the shape)

i hope that this answer can help you

Answer:

43200

Step-by-step explanation:

We multiply all the sides

I am not sure about this but try it.

Answer:

If the mayor knows the area and length of the base of the flower garden, she can divide the area by the length to determine the height

Step-by-step explanation:

Area = Length • Height

divide both sides by Length

Area/Length = Height

Answer:

First, she starts with the formula for area for the specific shape in the problem. Then, substitute the area and the base into the formula. Finally, she can solve the resulting equation for the height.

Sorry i'm really late with a answer but i hope it helps people

:)

Answer:

x = 20

Step-by-step explanation:

3x - 10 + 5x + 30 = 180

8x = 180 - 20

8x = 160

x = 20

Answer:

A. 0.5/hour

B. 300

C. y=0.5x+300

the answer is d i believe

Answer:

16g - 28h

Step-by-step explanation:

4 ( -6g - 10h ) + 3h - 4 ( -3h - 10g) = -24g - 40h + 3h +12h + 40g

                                                     = 16g - 28h

This is pretty simple, all you need to do is distribute the values from the parenthesis and get simplify the variables

Answer:

Vertical is straight up and down line or object

Perpendicular is more at an angle of 90 degrees to a line, plane, or surface ect

Answer:

The choice C .

[tex]1 \frac{17}{60} [/tex]

Step-by-step explanation:

[tex]q - \frac{6}{5} = \frac{1}{12} \\ \\ q = \frac{1}{12} + \frac{6}{5} \\ \\ q= \frac{5}{60} + \frac{72}{60} = \frac{77}{60} = 1 \frac{17}{60} [/tex]

Answer:

q = 1 [tex]\frac{17}{60}[/tex]

Step-by-step explanation:

q - [tex]\frac{6}{5} = \frac{1}{12}[/tex]

Add [tex]\frac{6}{5}[/tex]  to both sides.

q = [tex]\frac{1}{12} + \frac{6}{5}[/tex]

The least common multiple of 12 and 5 is 60. Convert [tex]\frac{1}{12}[/tex] and [tex]\frac{6}{5}[/tex] to fractions with denominator 60.

q = [tex]\frac{5}{60} + \frac{72}{60}[/tex]

Since [tex]\frac{5}{60}[/tex] and [tex]\frac{72}{60}[/tex]  have the same denominator, add them by adding their numerators.

q = [tex]\frac{5 + 72}{60}[/tex]

Add 5 and 72 to get 77.

q = [tex]\frac{77}{60}[/tex]

Add the 1 and you get:

1 [tex]\frac{77}{60}[/tex]

Hope it helps and have a great day! =D

~sunshine~

Answer:  it will be 60

Answer:

Michelle bought a pack of crayon for $3.25

Step-by-step explanation:

Number of packs = 5

The cost of a pack of crayons =

(Cost of 5 packs of crayon) / (number of packs of crayons)

The cost of a pack of crayons = ($16.25 ) /  5

The cost of a pack of crayons = $16.25  / 5

The cost of a pack of crayons = $3.25

Answer:

100 dollars.

Step-by-step explanation:

First you multiply 80 by 5% which is 4. Then you multiply 80 by 20% which is 16. Then you add it all together which gives you $100.

Answer: 57 min

i used a calculator.

Answer:

t=87.36643 ≈ 87.4 minutes

Step-by-step explanation:

y=a(.5)^{\frac{t}{h}}

y=a(.5)

h

t

​

y=6 \hspace{15px} a=340 \hspace{15px} h=15 \hspace{15px} t=?

y=6a=340h=15t=?

6=340(.5)^{\frac{t}{15}}

6=340(.5)

15

t

​

\frac{6}{340}=\frac{340(.5)^{\frac{t}{15}}}{340}

340

6

​

=

340

340(.5)

15

t

​

​

0.0176471=(.5)^{\frac{t}{15}}

0.0176471=(.5)

15

t

​

\log(0.0176471)=\log((.5)^{\frac{t}{15}})

log(0.0176471)=log((.5)

15

t

​

)

\log(0.0176471)=\frac{t}{15}\log(.5)

log(0.0176471)=

15

t

​

log(.5)

Power Rule.

15\log(0.0176471)=t\log(.5)

15log(0.0176471)=tlog(.5)

Multiply by 15.

\frac{15\log(0.0176471)}{\log(.5)}=\frac{t\log(.5)}{\log(.5)}

log(.5)

15log(0.0176471)

​

=

log(.5)

tlog(.5)

​

Divide by log(.5).

t=\frac{-26.299915}{-0.30103}

t=

−0.30103

−26.299915

​

t=87.36643\approx 87.4 \text{ minutes}

t=87.36643≈87.4 minutes

Using it's concept, it is found that the independent variable is the number of hours worked.

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In this problem, the input is the number of hours worked and the output is the salary, hence, the independent variable is the number of hours worked.

More can be learned about independent variables at https://brainly.com/question/1429012

Answer:

I will help you I. working on it just be pecient