Make x the subject of the formula
dx - t = 8

Answer:

-6x+27

Step-by-step explanation:

thanks + brainliest = explanation

if needed, of course :)

Let the first no be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

First no=2

Second no=5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

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Answer:

[tex]x^2-9x+20[/tex]

Step-by-step explanation:

Use the distributive property.

[tex](x-5)(x-4)[/tex]

[tex]x^2-5x-4x+20[/tex]

[tex]x^2-9x+20[/tex]

This is already in standard form.

Hope this helps!

Answer:

$180

Step-by-step explanation:

150 ÷ 25 = 6

6×3 = 18

18×10 = 180

The total value of the coupons that were given out is $180.

Correct option is (D).

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

3 out of every 25 customers receive a $10 coupon to use on their next visit.

Customers at the restaurant today = 150

For 25 customers = 3 coupons

For (25 × 6 = 150) customers = (3 × 6 = 18) coupons

Total value of the coupons = 18 × 10 = $180

Hence, the total value of the coupons that were given out is $180.

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Answer:

No answer is be 28%

5+9+7+4=25

7/25 + .28 =28%

Step-by-step explanation:

Answer:

1.2 degree Fahrenheit per minute.

per minute.

Step-by-step explanation:

We are supposed to find the unit rate for 15.6°F in 13 minutes.

To find the unit rate for our given scenario, we will divide 15.6 by 13 as:

Therefore, our required unit rate would be 1.2 degree Fahrenheit per minute.

Answer:

This is a contradiction

We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

   9 + 9 = 4 + 16

   18 = 18

This is a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

   19 - 10 = 657 - 9

           9 = 648

This is not a true equation.

Then the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

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Answer:

Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.

Step-by-step explanation:

Statement 1:

In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.

Explanation:

Total area of each square = ab*ab

Fig 1 has 4 triangle each with area = ab/2

Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab

Fig 2 has 2 non-white rectangles each with area = a*b

Total area of non-white rectangles in fig 2 = 2*ab

As non-white area of fig 1 = non-white area of fig 2

The remaining white area must also be equal.

Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd

Answer:

As finding 10% of a number means to divide by 10, it is common to think that to find 20% of a number you should divide by 20 etc. Remember, to find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.

Step-by-step explanation:

Bran has to make in all to walk a total of 28 kilometers  : 4 x 2 = 8 ( trips )

ok done. thank to me :>

Answer:

$8000

Step-by-step explanation:

For every $1000 Katrina sells, she earns $75. This is becuase when we multiply what she sold by her commision price, we get what she made

If we want to find how much she needs to make to earn $600, we can divide 600 by 75. This gives us 8. So, she will need to sell $8000 in order to earn $600

[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

Answer:

[tex]2.757*10x^{-4}[/tex]

Answer:

$0.59

Explanation:

$3.54 divided by 6 is $0.59. This concludes that 1 pound is $0.59. Hope this helps!

The cost of 1 pound of banana will be $0.59 per pound.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mia bought 6 pounds of bananas for $3.54.

The cost of 1 pound of banana is given by the division of the total cost for 6 pounds and 6. Then we have

⇒ $3.54 / 6

⇒ $0.59 per pound

The cost of 1 pound of banana will be $0.59 per pound.

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Answer:

x = 13

angle A = 97degrees

Step-by-step explanation:

TO GET "x=13"

since the angle is an alternate angle , it adds up to 180deg so :-

A+B =180

6x + 5 + 4x + 45 = 180

then u add the like terms :-

10x + 50 = 180

then u substitute:-

10x = 180-50

10x = 130

10x÷10 = 130 ÷10 ( this is to cancel the 10 )

x = 13

___________________________________________________________________

TO GET "A=97"

since we need the magnitude of A, we need to .... um I dunno how to explain this soo.....

the equation for A = 6x + 5

180 is the sum of the 2 angles so :-

180 - 5 - (13 × 6) 13×6 is because x=13

180 - 5 - 78= 97

I subtracted these since we need to cancel to get to an answer

I hope u get it.... sorry if u can't understand

and sorry once again if this answer.... I did it in a rush

57.9 add 14 to the answer and you get your number

Answer:

2nd option

Step-by-step explanation:

in the figure below red points are for ΔC"D"E"

we have to go in reverse order

to convert ΔC"D"E" to ΔC'D'E'

we have to scale the given triangle to a scale factor of 2

by multiplying vertices with 2

which gives blue points in the figure

next for 90° counter clockwise of ΔC'D'E' we get ΔCDE

for that we have to interchange x and y in the vertices

(2,2), (4,6), (-2,6) initial

(-2,2), (-6,4), (-6,-2) after

2nd option

Answer: 4 hours 30 minutes

Step-by-step explanation: 36/8 = 4.5 hours

hours = 4, minutes = 0.5*60 = 30

Answer:

A and B

Step-by-step explanation:

becuz

Answer:

9 cups of apple juice

Step-by-step explanation:

[tex]\\ \sf\longmapsto x-5/3=1[/tex]

[tex]\\ \sf\longmapsto x=1+5/3[/tex]

[tex]\\ \sf\longmapsto x=3+5/3[/tex]

[tex]\\ \sf\longmapsto x=8/3[/tex]

Done

[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]

[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]

[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]

[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]

[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]

The number of cells which have been cut into two parts is approximately ; 72 units

According to the question;

Provided a cell of the grid is 1 unit * 1 unit.

When a diagonal of the rectangle is drawn;

The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.

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Answer: 80

see attached

Step-by-step explanation:

If you do a 3x2 units, and draw a diagonal line, you'll see 4 units are cut.  because it's 60x40, then means BOTH lengthwise & widthwise you'll repeat 20 times, so 20*4 units = 80 units.

Answer:

X = -27

Explain your answer:

Answer:

x = -28

Explanation

K12

The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.

So, the amplitude is:

[tex]\mathbf{A = 1.5 - 2.75}[/tex]

[tex]\mathbf{A = -1.25}[/tex]

The vertical shift is the minimum height of the peg.

So, we have:

[tex]\mathbf{D = 0.25}[/tex]

The period (T) equals one circumference.

So, we have:

[tex]\mathbf{T = (max-min)\pi}[/tex]

This gives

[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]

[tex]\mathbf{T = 2.5\pi}[/tex]

The frequency (B) is then calculated as:

[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]

This gives

[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]

Divide

[tex]\mathbf{B = 0.8}[/tex]

A sine function is represented as:

[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]

Substitute the calculated values

[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]

The horizontal shift (C) is 0.

So, the function becomes

[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

See attachment for the graph of the equation

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Answer:

-2, -1, 0, 1

Step-by-step explanation:

-2

-1

0

1

All the possible values of t in the inequality - 3 < t < 2 is,

t = - 2, - 1, 0, 1

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The inequality is,

- 3 < t < 2

Here the given inequality means all the values of t are lies between - 3 and 2.

That is,

t = - 2, - 1, 0, 1

Therefore, the value of t are t = - 2, - 1, 0, 1

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