Tìm các chữ số a, b , c biết a/-5=b/-7=c/2 và a-b+c=-28

Answer:

a. 20h = m

b. $120

Step-by-step explanation:

We know what they charge per hour so if we didn't have the number of hours they worked we would write the equation as 20h = m (h = hours, and m = money made). Since we know the number of hours they worked, we can substitute h with 6 and find m.

20(6) = m

120 = m

Best of Luck!

A linear equation can be written as:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

Defining x as the number of weeks since the start of the year, we can write the linear equations I and B as:

[tex]B(x) =\$70 + \$5*x[/tex]

(initial amount plus the amount that he saves each week times the number of weeks)

Similarly, for Ian we have:

[tex]I(x) = \$30 + \$15*x[/tex]

The graph of these lines can be seen below, where the blue one is I(x) and the green one is B(x).

Now we want to determine how much they had when they had the same amount.

This means that we need to solve:

B(x) = I(x)

Replacing the equations we get:

[tex]\$70 + \$5*x = \$30 + \$15*x[/tex]

Now we can solve this for x:

[tex]\$70 - \$30 = \$15*x - \$5*x[/tex]

[tex]\$40 = \$10*x[/tex]

[tex]\$40/\$10 = x[/tex]

[tex]4 = x[/tex]

So they have the same amount of money in week 4, and each one of them has:

[tex]B(4) = I(4) = \$70 + \$5*4 = \$70 + \$20 = \$90[/tex]

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Answer:

simply

addition property of equality

simplify

multiplication property of equality

Answer:

100000 = 8 (4) ^t

Step-by-step explanation:

We are multiplying by 4 each time

y = a (4)^t

The initial amount is 8

y = 8 (4)^t

We want to get to 100000

100000 = 8 (4) ^t

Answer:

B

8 ⋅ 4^t  = 100,000

Step-by-step explanation:

Answer:

380 miles

Step-by-step explanation:

Let the time he travelled on the second day = t

Then the first day's time is t + 2

The first day's distance is d+20

The second day's distance is d

The second day's distance is also 60*t or d = 60*t

First day: 40*(t+2)  = d + 20

Put the second day's distance into the first day's equation

40(t+ 2) = 60t + 20       Now solve for t. Remove the brackets

40*t + 80 = 60t + 20    Subtract 20 from both sides

40t + 80 - 20 = 60t      Combine

40t + 60 = 60t              Subtract 40t from both sides

60 = 60t - 40t

60 = 20t                       Divide by 20

t = 60 / 20

t = 3

Day 2s distance = 60*3 = 180

Day 1s distance = 40*5  =200

Total                                  380

You may ask where the 20 went. It is a fact relating the distance of day 1 with day 2. No one actually travelled the 20 miles. It is just that there is a difference of 20 miles in the two distances.

Answer:70.434

Step-by-step explanation:

i think it 10 because the angle your looking at is x is 7

y=-1.4x

Step-by-step explanation:

divide the change in y by the change in x to find the gradient,

7 divided by -5 [as the translation is to the left].

there might be a y intercept value, c as in

y=mx + c but with the given information without  thee starting points it is hard to find

The required equation of the graph that results from the translation is y = √(x + 5) + 7.

Translation on a coordinate plane is a transformation that moves an object or figure from its original position to a new position in a straight line. It is also called a "slide." In translation, all points of the object are moved by the same distance in the same direction.

Here,
To shift the graph of the function y = √x to the left by 5 units, we need to replace x with x + 5 in the equation. This will give us the graph of y = √(x + 5).

To shift the graph 7 units up, we need to add 7 to the entire function. This will give us the final equation of the translated graph:

y = √(x + 5) + 7.

Therefore, the equation of the graph that results from the translation is y = √(x + 5) + 7.

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Answer:

the first option

Step-by-step explanation:

really, just look at the table.

is the mean value (10.4) larger than the median (13.4) ?

I hope you can see right away that it is not.

and you can see they are not the same either.

so, all the answer options mentioning mean larger than median or equal to median can be ruled out right away.

so, it is between the first two options.

now think ! how do we draw number lines ? a coordinate axis ?

the smaller numbers left, the larger numbers right. the numbers grow from left to right.

the mean value is simply the sum of all measurements divided by the number of measurements (how many median were done). if that is smaller that the median (so, the Mean is left of the Median), it means that the majority of measurements had a result smaller (to the left) than the Median. so, it is skewed-left.

Answer:

2x +3

Step-by-step explanation:

d/dx(x2 + 3x -4)

d/dx (x^2) + d/dx(3x)- d/dx(4)

2x +3 -0

2x +3

Answer

P=196                        

P=4A=4·2401=196                                  

Answer:

196m

Step-by-step explanation:

[tex] \sqrt{2401} = 49[/tex]

[tex]49 + 49 + 49 + 49 = 196[/tex]

I put the line/graph on the attached file, when you draw the line make sure it goes through some of the points that I plotted.

Answer:

Selling price is $60000/d

Step-by-step explanation:

Let the selling price be say $x. Now the commission is d% of x, that is (d/100)*x=600. x=60000/d

Commission of d% amounts to 600 the selling price in dollers will be

Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $

The price of an item which i have sold to someone is my selling price and for the person it is his/her cost price.

When my selling price is more than my cost price I make profit.

When my selling price is less than my cost price i make loss.

In the given question d% of commision amounts to 600$. Let us assume d% = 10 % for easy understanding.

[tex]\frac{percentage}{100}[/tex] * selling price = 600

[tex]\frac{d}{100}[/tex] * selling price = 600

Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $

or, 60000/10 = 6000 $

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Answer:

i don't know

( lol )

heheeeee

Answer:

18.06

Step-by-step explanation:

law of cos()

b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)

[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]

Answer:

19 sin + 20 cosec

explanation

9 sin A + 10 sinA + 33 -13 cosecA

19 sin + 20 cosec

Answer:

13) 11C5 or 11C6 = 462

14) it appears to be only 1

DCDCDCDCDCD

15) 9 choose 6 or 9 choose  3 = 84

Step-by-step explanation:

Answer:

240cm^3

Step-by-step explanation:

3cmx20cmx4cm=240cm^3

Answer:

v is 198 m/s

Step-by-step explanation:

[tex]v = \sqrt{gh} \\ v = \sqrt{9.8 \times 4000} \\ v = 198 \: m {s}^{ - 1} [/tex]

Answer:

20

Step-by-step explanation:

Of means multiply and is means equals

42% * N = 8.4

.42 N = 8.4

Divide each side by .42

N = 8.4/.42

N =20

Answer:

Step-by-step explanation:

Let the number be 'x'

42% of x = 8.4

[tex]\dfrac{42}{100}*x=8.4\\\\x=8.4*\dfrac{100}{42}\\\\x=\dfrac{840}{42}\\\\x= 20[/tex]

Given points

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(2+4)^2+(5-3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(6)^2+(2)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+4}[/tex]

[tex]\\ \sf\longmapsto \sqrt{40}[/tex]

[tex]\\ \sf\longmapsto 6.2[/tex]

Answer:

3/4 =x        -7=x

Step-by-step explanation:

y = (4x - 3)(x + 7)

To find the x intercepts, set y=0

0 = (4x - 3)(x + 7)

Using the zero product property

0 = 4x-3    0=x+7

3 = 4x           -7=x

3/4 =x        -7=x

Answer:

x - intercepts are (3/4 , 0) &  (-7 , 0)

Step-by-step explanation:

y = (4x - 3)(x + 7)

At x-intercept, y=0

(4x - 3)(x + 7) = 0

4x - 3 = 0    ;  x + 7 = 0

  4x = 3       ; x = -7

    x = [tex]\dfrac{3}{4}[/tex]      ; x = -7

Answer:

Angle C and Angle B 61 degree as Angle 119 is supplementary to angle B and C (180-119=61)

Answer:

y = 500 * (2)^x is an exponential function

Step-by-step explanation:

An exponential function is of the form

y = a b^x  where a is the initial value and b is the growth/decay factor

y = 500 * (2)^x is an exponential function

The correct equation that represents an exponential function with an initial value of 500 is:

f(x) = 500(2)x

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

We are given that the initial value of the exponential function is 500. The initial value refers to the value of the function when x is equal to zero. Therefore, the value of f(0) is 500.

Out of the four given options, only option (c) represents an exponential function with an initial value of 500, since f(0) is equal to 500 when x is equal to zero:

f(x) = 500(2)^x

Option (a) represents an exponential function with an initial value of 100 and a base of 5.

Option (b) represents a power function, not an exponential function.

Option (d) represents an exponential function with an initial value of 0 and a base of x^2, which can take any value including negative values, thus it doesn't satisfy the conditions of a valid exponential function.

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Answer:

13 units

Step-by-step explanation:

Using the right triangle formed by the 2 legs and the slant height s

The legs are 12 and 10 ÷ 2 = 5, with hypotenuse s

Using Pythagoras' identity in the right triangle, then

s² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )

s = [tex]\sqrt{169}[/tex] = 13

Answer:

5. -10/9

6. -5500/21

7. 1 39/167

8. -31/492

Answer:

I'm pretty sure its 6

Step-by-step explanation:

14-8 is equal to 6 so I'm pretty sure it would be six.

Answer:

C

Step-by-step explanation:

The correct answer is C

Because taking the point to be (a,b)

[tex]y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line[/tex]

Answer:

Given:

(sin5x−sinx)(cos4x−cos6x)

(cosx−cos3x)(sin8x+sin2x)

Use the formula:

sina+sinb=2sin(

2

a+b

)cos(

2

a−b

)

sina−sinb=2cos(

2

a+b

)sin(

2

a−b

)

cosa−cosb=−2sin(

2

a+b

)sin(

2

a−b

)

(sin5x−sinx)(cos4x−cos6x)

(cosx−cos3x)(sin8x+sin2x)

=

(2cos

2

6x

sin

2

4x

)(−2sin

2

10x

sin

2

−2x

)

(−2sin

2

4x

sin

2

−2x

)(2sin

2

10x

cos

2

6x

)

=

(2cos3xsin2x)(2sin5xsinx)

(2sin2xsinx)(2sin5xcos3x)

=1

Answer:

Step-by-step explanation:

4(v+4)–7=17

=> 4(v + 4) = 17 + 7

=> 4v + 16 = 24

=> 4v = 24 - 16

=> 4v = 8

[tex] = > v = \frac{8}{4} [/tex]

=> v = 2 (Ans)

Answer:

v=2

Step-by-step explanation:

4(v+4)–7=17

Distribute

4v+16 -7 = 17

Combine like terms

4v +9 =17

Subtract 9 from each side

4v+9-9=17-9

4v = 8

Divide by 4

4v/4 = 8/4

v=2