How many solutions does this equation have?

9x + 2
3
= 3x + 3

Answer:

  68 1/3, 111 2/3

Step-by-step explanation:

The sum of two supplementary angles is 180°, so ...

  (x +10) +(2x -5) = 180

  3x +5 = 180 . . . . . collect terms

  x +5/3 = 60 . . . . . divide by 3

  x = 58 1/3 . . . . . . . subtract 5/3

The first angle is ...

  x +10 = 58 1/3 +10 = 68 1/3

The second angle is ...

  2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3

The angles measure 68 1/3 and 111 2/3.

Answer: 4

Step-by-step explanation:

The sum of 12 and 8 is 12 add 8 which is 20. The difference between 12 and 8 is 12 minus 8 which is 4.

I don't know if this is right but if it is not tell me plz.

:) Thx

length is 8m

Width is 6.5m

Explanation:

Let, width = b

So, length = 2b-5

area = 52[tex]m^{2}[/tex]

We know,

area of rectangle = length X width

So, [tex]52m^{2}[/tex] = [tex](2b-5) X b[/tex]

On solving the above equation, we get

Width, b = 6.5m

length, l = 8m

Explanation: Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x term represents the slope of the line and b represents the y-intercept of the line.

The linear equation y = 5x - 22 has a slope equal to 5

and a y-intercept equal to -22.

Answer:

60

Step-by-step explanation:

I used the guess and change method and subtracting every guessed number for 51.6. I found out that if you subtract 60 by 14%, you'll get 51.6.

Hope this helps :)

Answer:

[tex] \frac{11}{20} [/tex]

On the first day, they traveled 30 percents of the total distance. On the second day they traveled one fourth of the total distance. One fourth converted into percentage is 25 percent. Then you add 30 plus 25 because that is the to a

total distance that Murphy's family traveled for 2 days. It will be 55 percents, and you convert 55 percents into fraction will be 55/100, and you simplify it, will be 11/20.

Answer:

x = 5/4

Step-by-step explanation:

1. cancel x for log 3x and 2x

2. multiply log 2x-1 by log 2

3.simplify to log 4x-2 = log3

4.logs will cancel out and leave you with 4x-2 = 3

5. solve and get 5/4

Answer:

x = 5/4

Step-by-step explanation:

Answer: The resulting acceleration of the ball is 80m/s² .

Step-by-step explanation:

Formula for force :     [tex]F= ma[/tex]

,where m = mass pf object and a = the resulting acceleration of object.

As per given , we have

The mass of ball : m= 0.5 kg

Force = 40 N

Let 'a' be the resulting acceleration of the ball.

Substitute all values in formula , we get

[tex]40=(0.5)a\\\\\Rightarrow\ a=\dfrac{40}{0.5}=80\ m/s^2[/tex]

Hence, the resulting acceleration of the ball is 80m/s² .

The acceleration of the ball is 80 Newton per kg.

Given that

A 0.5 kg ball is kicked with a force of 40 N.

We have to determine

What is the resulting acceleration of the ball?

According to the question

The acceleration of the ball is determined by the following formula;

[tex]\rm Acceleration = \dfrac{Force}{Mass}[/tex]

The mass of the ball is 0.5 kg.

The force applied to the ball is 40 N.

Therefore,

The acceleration of the ball is,

[tex]\rm Acceleration = \dfrac{Force}{Mass}\\ \\ \rm Acceleration = \dfrac{40}{0.5}\\ \\ \rm Acceleration = 80 \ Newton \ per \ kg[/tex]

Hence, The acceleration of the ball is 80 Newton per kg.

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Answer:

a = 2 ; b = 12

Step-by-step explanation:

p(x)=x⁴ + ax³ - 7x² - 8x +b

p(x) is exactly divisible by (x + 2). So p(-2)=0

(-2)⁴ + a(-2)³ - 7(-2)² - 8(-2) +b = 0

16 - 8a - 7*4 +16 + b =0

16 - 8a - 28 + 16 + b =0

4 - 8a + b = 0

-8a +  b = -4 -----------(i)

p(x) is exactly divisible by (x + 3). So p(-3)=0

(-3)⁴ + a(-3)³ - 7(-3)² - 8(-3) +b = 0

81 -27a - 63 + 24 + b =0

42 - 27a + b = 0

-27a + b = -42 ------------(ii)

                    -8a +  b = -4 -----------(i)

                    -27a + b = -42 ------------(ii)

subtract            19a = 38

                           a = 38/19 = 2

a=2

Substitute a value in equation (i)

-8*2 + b= -4

-16 + b = -4

       b = -4 + 16

       b = 12

Answer:

2([tex]5^{2}[/tex])-5

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

2x5^2-(4+1)

2x25-5

50-5

45

Answer:

See explanation

Step-by-step explanation:

Given the expression

[tex](5^{18}-25^8)(16^4-2^{13}-4^5)[/tex]

First, simplify all terms:

[tex]25^8=(5^2)^8=5^{2\cdot 8}=5^{16}\\ \\16^4=(2^4)^4=2^{4\cdot 4}=2^{16}\\ \\4^5=(2^2)^5=2^{2\cdot 5}=2^{10}[/tex]

Then the expression is

[tex](5^{18}-5^{16})(2^{16}-2^{13}-2^{10})[/tex]

Use distributive property in both factors:

[tex](5^{18}-5^{16})(2^{16}-2^{13}-2^{10})=\\ \\=(5^{16}(5^2-1))(2^{10}(2^6-2^3-1))=\\ \\=(5^{16}(25-1))(2^{10}(64-8-1))=\\ \\=5^{16}\cdot 24\cdot 2^{10}\cdot 55=\\ \\=5^{16}\cdot 4\cdot 6\cdot 2^{10}\cdot 5\cdot 11=\\ \\=5^{16}\cdot 2^{10}\cdot (4\cdot 11)\cdot (5\cdot 6)=\\ \\=5^{16}\cdot 2^{10}\cdot 44\cdot 30[/tex]

Therefore, this expression is divisible by 30 and by 44

Answer:

5,290,000,000,000 written in words would be

five trillion, two hundred and ninety billion

Written in scientific notation would be

5.29*10^12

Step-by-step explanation:

When writing numbers in words you always want to go from left to right, the last three of your digit was in the hundreds place, then the next three were in the thousands place, than the millions, then the billions, and last was the trillions which is where we got five trillion to start out with, you next number was two hundred and ninety billion, because your next place value was in the billions.

When writing numbers using scientific notation you always want just one number to the left of the decimal point. When adding a decimal we put it right after the 5 because then we only have one number in front of the decimal point. Then you would go times 10 to the whatever power it is. In our case it was 12 because you go from your decimal point and count backwards til you get to the correct number that you want

-Hope this helps ;)

Answer:

8 seconds

Step-by-step explanation:

Given

h = - 5t² + 40t

When the object hits the ground then h = 0

Substitute h = 0 into the function and solve for t

- 5t² + 40t = 0 ← factor out - 5t from each term

- 5t(t - 8) = 0

Equate each factor to zero and solve for t

- 5t = 0 ⇒ t = 0

t - 8 = 0 ⇒ t = 8

t= 0 denotes the time of launch

t = 8 denotes the time it hits the ground

Answer:

[tex]0.3846154[/tex]

Step-by-step explanation:

We want to perform the following division:

0.63 ÷ 1.638

Let us convert everything to fraction to get:

[tex]\frac{63}{100}\div \frac{1638}{1000}[/tex]

We multiply by the reciprocal of the second fraction to get:

[tex]\frac{63}{100}\times \frac{1000}{1638}[/tex]

[tex]=\frac{63}{1638}*10[/tex]

[tex]=0.03846154*10=0.3846154[/tex]

Final answer:

To find the result of 0.63 divided by 1.638, you multiply both numbers by 1000 to remove the decimals and then divide, resulting in approximately 0.384612.

Explanation:

The question asks for the result of dividing 0.63 by 1.638. To solve this problem, you perform division as you would with any two numbers. The steps are as follows:

Set up the division problem: 0.63 ÷ 1.638.

To make the division simpler, you can multiply both the divisor (1.638) and the dividend (0.63) by powers of 10 to remove the decimals. In this case, multiply both by 1000 to get 630 ÷ 1638.

Perform the division: 630 divided by 1638 equals approximately 0.384612.

Thus, 0.63 ÷ 1.638 is approximately 0.384612.

Answer:

The percent of decrease is [tex]30\%[/tex]

Step-by-step explanation:

Assuming the number of students enrolled in the photography club decrease from 50 to 35.

Then the change in student enrollment is 35-50=-15.

The percent of change  is given by:

[tex]\frac{Change\:in\:enrollment}{Original\:number}\times 100\%[/tex]

[tex]\frac{-15}{50}\times 100\%[/tex]

[tex]-15*2\%=-30\%[/tex]

Answer: 30

Step-by-step explanation:

i got it right

Multiply the 2x by each term inside parentheses:

2x x x ^2 = 2x^3

2x x 2x = 4x^2

2x x -6 = -12x

Answer: A) 2x^3 + 4x^2 - 12x

Answer:

please mark me brainliest!

Step-by-step explanation:

Answer:

c=-16

Step-by-step explanation:

We want to solve for c in the equation:

-12=4+c

We add the additive inverse of 4 to both sides of the equation to obtain:

[tex] - 12 + - 4 = 4 + - 4 + c[/tex]

We simplify to obtain:

[tex] - 12 - 4 = 4 - 4 + c[/tex]

We simplify further to get:

[tex] - 16= 0 + c[/tex]

Therefore

[tex] - 16 = c[/tex]

Or

[tex]c = - 16[/tex]

Answer:

Step-by-step explanation:

-7/4 = 2/5t

*5          *5

-35/4 = 2t

-8.75 = 2t

-4. 37

Answer: (a) 4x + 10(0) = 76

(b) 29questions

Step-by-step explanation: let the correct answer = x.

4points for correct answer each total 4xpoints

Since no penalty for wrong answers, his total points were 76points.

Equation: 4x = 76

x = 19. He scored 19 correct answers.

Total number of questions on the test = 19 correct answers + 10 wrong answers

29 questions

Answer:

40π

Step-by-step explanation:

Circumference Formula:  C = 2πr

Step 1:  Divide diameter by 2 to get the radius

40 / 2 = 20 m -> Radius

Step 2:  Plug into the Circumference Formula

C = 2π(20)

C = 40π

Answer:  40π

Answer:

Step-by-step explanation:

The radius of the circle is d/2

The Area of the circle is pi*r^2

The Area of the circle is pi * (d/2)^2

The Area of the circle is A = pi * (40/2)^2

The Area of the circle is A = 400 * pi

Answer:

[tex](3,0),(0,3)[/tex]

Step-by-step explanation:

y-intercept:

[tex]Substitute\ x=0\\\\y=0+3\\\\y=3\\\\Hence\ (0,3)\ is\ on\ the\ graph.[/tex]

x-intercept:

[tex]Substitute\ y=0\\\\0=-x+3\\\\x=3\\\\Hence\ graph\ passes\ through\ (3,0)[/tex]

Answer:

solution is c

Step-by-step explanation:

look at picture

Answer:

24

Step-by-step explanation:

mEG = 24 units

Hope it helps

Answer:

c=16*pi

a=64*pi

Step-by-step explanation:

The circumference and area of a circle with a radius of 8 cm are 16 pi cm and 64 pi [tex]cm^2[/tex], respectively.

To find the circumference and area of a circle with radius 8 cm, we can use the following formulas:

Circumference = 2 * pi * radius

Area = [tex]pi * radius^2[/tex]

Plugging in the given value, we have:

Circumference = 2 * pi * 8 cm = 16 pi cm

Area =[tex]pi * 8^2 cm^2[/tex] = [tex]64 pi cm^2[/tex]

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The original temperature conversion equation is Tc = 5/9 x (T-f - 32). When converting 176 degrees Fahrenheit, it is multiplied by 5/9 to get approximately 108.89 degrees Celsius.

The equation provided by the student, C = 5/9 x (F - 32), is used to convert a temperature from Fahrenheit (F) to Celsius (C). To find the factor to convert Fahrenheit to Celsius directly, we can manipulate the given formula. The request seems to be asking for the conversion factor that is applied to Fahrenheit to get Celsius. However, the original equation needs to be rewritten correctly as: TC = (5/9) × (T-F - 32). From this, we infer that each degree Fahrenheit is equivalent to 5/9 of a degree Celsius. Therefore, 176°F would convert to 176 × (5/9) = 980/9 or approximately 108.89°C.

Lines can be divided into different segments of different lengths using ratios.

The y-coordinate of the point at this ratio is 0

The coordinates of J and K are given as:

[tex]\mathbf{J = (1,-10)}[/tex]

[tex]\mathbf{K = (7,2)}[/tex]

The ratio is given as:

[tex]\mathbf{m:n =5:1}[/tex]

The y-coordinate of the point at this ratio is calculated using:

[tex]\mathbf{y_p = \frac{my_2 + ny_1}{m+n}}[/tex]

So, we have:

[tex]\mathbf{y_p = \frac{5 \times 2 + 1 \times -10}{5+1}}[/tex]

[tex]\mathbf{y_p = \frac{10 -10}{5+1}}[/tex]

Simplify the numerator, and the denominator

[tex]\mathbf{y_p = \frac{0}{6}}[/tex]

Divide the fraction

[tex]\mathbf{y_p = 0}[/tex]

Hence, the y-coordinate is 0

Read more about line segment ratios at:

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The y-coordinate of the point is 0.

The formula for the section formula is

x [tex]= \frac{mx_2 + nx_1}{m + n}[/tex]

y [tex]= \frac{my_2 + ny_1}{m + n}[/tex]

Substituting in the points, we get

x = [tex]= \frac{5(7) + 1(1)}{5 + 1} = \frac{36}{6} = 6[/tex]

y [tex]= \frac{5(2) + 1(-10)}{5 + 1} = \frac{0}{6} = 0[/tex]

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

Answer:

[tex]5\frac{1}{3}\ in[/tex]

Step-by-step explanation:

we know that

The original scale factor is 1/80

That means

1 unit in the drawing represent 80 units in the actual

or

1 inch in the drawing represent 80 inches in the actual

step 1

Find the actual length with the original scale  

using proportion

[tex]\frac{1}{80}=\frac{12}{x}\\\\x=80(12)\\\\x= 960\ in[/tex]

step 2

The new scale drawing is

[tex]\frac{1}{180}[/tex]

That means

1 unit in the drawing represent 180 units in the actual

or

1 inch in the drawing represent 180 inches in the actual

step 3

Find the length of a new scale drawing  

using proportion

[tex]\frac{1}{180}=\frac{x}{960}\\\\x=960/180\\\\x= 5.33\ in[/tex]

Convert to mixed number

[tex]5.33\ in=5\frac{1}{3}\ in[/tex]

The actual length of the house if the scale is 1/80 is = 5 1/3 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Scale of the drawing =  dimensions of the scale drawing / dimensions of the original image.

Actual length when the scale was 1/80 = 80 x 12 = 960 inches

Actual length when the scale was 1/180 = 960 / 180 = 5 1/3 inches

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Answer:

Charges per flower delivered by Tina is, y= 2.99 (x) + 5

Step-by-step explanation:

Given:

Tina's charges per flower = 2.99 cents

Delivery charged by Tina = 5 units or 5$

We have fill the blank in terms of 'y'.

We know slope intercept form that is : y = m(x)+b

So here we have to fill numbers according to the slope intercept form.

Let the numbers of flowers sold by Tina be 'x'.

Here slope (m) will be the charge of each flower charged by the florist.

The delivery charge is the fixed rate so its the constant value and will be treated equivalent to y-intercept or b values.

Arranging our values:

[tex]m=2.99[/tex] cents , [tex]b=5\$[/tex]

Then the slope-intercept form :

⇒ [tex]y=m(x)+b[/tex]

⇒ [tex]y= 2.99(x) + 5[/tex]

We have to type only that goes in the blank and that is 2.99(x) +5.

y = 2.99(x) + 5 is our final answer.