the ratio of 62 miles to 100 kilometers

Answer:

x = 12

Step-by-step explanation:

The sum of the two smaller angles is 140

80+5x = 140

Subtract 80 from each side

80+5x-80 =140-80

5x = 60

Divide each side by 5

5x/5 = 60/5

x = 12

Answer:

Step-by-step explanation:

- 22 - □ = 7

=> - 22 - 7 = □

=> - 29 = □

=> □ = - 29 (Ans)

Answer:

a=41  b=-9

Step-by-step explanation:

By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 41, and3b + 40 = 13, rearranging b = -9.

Answer from Gauth math

Answer:

Hello,

Step-by-step explanation:

We are going to use identification of terms.

[tex]5(7x+8)+3(2x+b)=ax+13\\\\35x+40+6x+3b=ax+13\\\\41x+40+3b=ax+13\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\3b+40&=&13\\\end{array}\right.\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\b&=&-9\\\end{array}\right.\\\\[/tex]

Produced by myself

Answer:

EM SORY

Step-by-step explanation:

DUNIA BERDITI TAHUN TOGTV

Answer:

2/7

Step-by-step explanation:

This is basically asking how many 7/10 's fit in 1/5. Or 1/5 divided by 7/10.

1/5 divided by 7/10 is the same as 1/5 times the reciprocal, 10/7. Therefore it is 1/5*10/7, or 10/35.

That simplifies to 2/7.  

Let a(n) denote the n-th term in the sequence. Because the terms are in arithmetic progression, there is a fixed number d that separates consecutive terms, so that starting with a(1) = a, the next few terms are

a(2) = a(1) + d = a + d

a(3) = a(2) + d = a + 2d

a(4) = a(3) + d = a + 3d

and so on, up to

a(n) = a + (n - 1) d

We're given that the 30th term is 98, so

a(30) = a + 29d = 98

The sum of the first 30 terms is 1635, so that

[tex]\displaystyle \sum_{n=1}^{30}a(n) = \sum_{n=1}^{30}(a+(n-1)d) \\\\ 1635 = a\sum_{n=1}^{30}1 + d\sum_{n=1}^{30}(n-1) \\\\ 1635 = 30a + d\sum_{n=0}^{29}n \\\\ 1635 = 30a + d\sum_{n=1}^{29}n \\\\ 1635 = 30a + \frac{d\times29\times30}2[/tex]

so that

30a + 435d = 1635

Solve the equations in boldface for a and d. I'll eliminate a and solve for d first.

-30 (a + 29d) + (30a + 435d) = -30 (98) + 1635

-30a - 870d + 30a + 435d = -2940 + 1635

-435d = -1305

d = 3

Then

a + 29 (3) = 98

a + 87 = 98

a = 11

Step-by-step explanation:

f(X) = 5x+18= 18

so,

18 = 5x+18

18-18 = 5x

X= 0

so domain of the function is 0

Answer:

Multiply 3 by 5

Step-by-step explanation:

the P and M in PEMDAS because there’s multiplication inside the parentheses

5 + 3(5) - 4.2

Answer:

x = 3

Step-by-step explanation:

Use FOIL method

(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)

                     = 3x² - 8x - 15x + 40        {Combine like terms}

                     = 3x² - 23x + 40

(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)

                      = 24  - 4x - 18x + 3x²         {Combine like terms}

                     = 3x² - 22x + 24  

(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13

3x² - 23x + 40 = 3x² -22x + 24  + 13

3x² - 23x  + 40 - 3x²  + 22x  - 24 - 13 = 0

3x² - 3x² - 23x + 22x  + 40 - 24 - 13 = 0   {Combine like terms}

0   - x  = 0

 -x +3= 0

         3 = x

x =3

Answer:

B. 7y - 15

Step-by-step explanation:

Simplifying

10y + -3(y + 5) = 0

Reorder the terms:

10y + -3(5 + y) = 0

10y + (5 * -3 + y * -3) = 0

10y + (-15 + -3y) = 0

Reorder the terms:

-15 + 10y + -3y = 0

Combine like terms: 10y + -3y = 7y

-15 + 7y = 0

Solving

-15 + 7y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + 7y = 0 + 15

7y = 0 + 15

Combine like terms: 0 + 15 = 15

7y = 15

Divide each side by '7'.

y = 2.142857143

Simplifying

y = 2.142857143

Answer:

b. 7y-15

Step-by-step explanation:

First, write out the expression

1. [tex]10y-3(y+5)[/tex]

To simplify the expression distribute the -3 to the terms within the paratheses.

2. [tex]10y-3y-15[/tex]

Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted

3. [tex]7y-15[/tex]

This means that B is the correct answer.

Answer:

average speed = distance/ time

711/9

79km/h

Answer:

[tex]\frac{-17}{15}[/tex]

Step-by-step explanation:

When solving this problem you must follow PEMDAS, so parentheses should go first. To solve 1/10 - 2/3, first, find the common denominator. In this case, that is 30. Then, subtract, [tex]\frac{3}{30} - \frac{20}{30}[/tex]. This equals -17/30. Finally, divide by 0.5. To do this remember that dividing by half is the same as multiplying by 2. Doing [tex]\frac{-17}{30} *2[/tex] equals [tex]\frac{-17}{15}[/tex].

Answer:

14.4

Step-by-step explanation:

Cross multiply.

5x = 8 * 9

5x = 72

x = 14.4

Answer:

x= 14.4

Step-by-step explanation:

1. cross multiply

5*x and 8*9

5x=72

2. divide 72 by 5

x= 14.4

Answer:

20 P 9 means selecting 9 objects (order matters) out of 20 objects.

So in this case, the eight choice of a line up of 9 has 13 options.

For example, think about it this way. The first choice has 20 options, 2nd has 19, and so on...

So the answer is 13

Let me know if this helps!

It looks like you're trying to evaluate the sum,

[tex]\displaystyle \frac2{4\times7} + \frac2{7\times10} + \frac2{10\times13}+\cdots+\frac2{49\times52}[/tex]

which can be written as

[tex]\displaystyle \sum_{n=1}^{16} \frac2{(3n+1)(3n+4)}[/tex]

Split up the summand into partial fractions:

[tex]\displaystyle \frac2{(3n+1)(3n+4)} = \frac a{3n+1} + \frac b{3n+4} \\\\ \implies 2 = a(3n+4)+b(3n+1) \\\\ \implies 2 = (3a+3b)n+4a+b[/tex]

so that

3a + 3b = 0, or a = -b

4a + b = 2

Solve for a and b :

4a + (-a) = 3a = 2   ==>   a = 2/3   ==>   b = -2/3

So the sum is

[tex]\displaystyle \frac23 \sum_{n=1}^{16} \left(\frac1{3n+1} - \frac1{3n+4}\right)[/tex]

Write out the first terms and observe that several terms cancel with each other:

2/3 (1/4 - 1/7)

+ 2/3 (1/7 - 1/10)

+ 2/3 (1/10 - 1/13)

+ …

+ 2/3 (1/43 - 1/46)

+ 2/3 (1/46 - 1/49)

+ 2/3 (1/49 - 1/52)

So the sum collapses and simplifies to

[tex]\displaystyle \sum_{n=1}^{16} \frac2{(3n+1)(3n+4)} = \frac23 \left(\frac14 - \frac1{52}\right) = \boxed{\frac2{13}}[/tex]

Answer:

should be 0.28125

Step-by-step explanation:

Answer:

0.4444444

Step-by-step explanation:

yes

Using the coefficient concept, it is found that the expression in which the coefficient of the term x is 1 is:

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

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

In a polynomial, the terms that multiply the x variables are called coefficients.

For example, take a standard quadratic equation: [tex]ax^2 + bx + c[/tex]

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

In this problem, we want an expression in which the term "x" is multiplied by 1, and the desired expression is:

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

A similar problem is given by https://brainly.com/question/15446728

Answer:

The total price is $9.30

Step-by-step explanation:

Price of the orders of popcorn= $5.25

Price of the drinks= $4.05

Answer: A.

Step-by-step explanation:

1/4 is not in fact a natural number, it's a rational number, a ratio.

Let a = 12 and b = 18 be the two given sides

Let c be the unknown third side

Due a modified form of the triangle inequality theorem, we know that,

b-a < c < b+a

18-12 < c < 18+12

6 < c < 30 which is the final answer

This says c is between 6 and 30, but cannot equal either endpoint.

Hey there! I'm happy to help!

This symbol is an absolute value symbol. It means that we are looking for that number's distance from 0. There is no such thing as a negative distance; the distances are all positive, so both ∣9∣ and ∣-9∣ have a value of 9.

Have a wonderful day and keep on learning! :D

Answer:

Iceland

Step-by-step explanation:

Answer:

363

Step-by-step explanation:

Of 2.5% of 200 is 5 so we can scale that up to 14500 we get 362.5 and then we round it up to 363.

Answer:

outliers

explanation:

Answer:

the right answer is

no d (outliers)

Answer:

slope = -1

y intercept (0,-2)

Step-by-step explanation:

We can use the two points to find the slope

(-4,2) and (1,-3)

m = ( y2-y1)/(x2-x1)

    = (-3 -2)/(1 - -4)

   = -5 /(1+4)

   = -5/5

 - 1

The y intercept is where it crosses the y axis

y intercept is (0,-2)

Answer:

5/1 or 5

Step-by-step explanation:

4 cup of lemonade is $20

then,

1 cup of lemonade is 20 ÷4 =5

Answer:

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Answer:

5/12

Step-by-step explanation:

We know its a right angled triangle because of phythogorean theorem,

h^2=p^2+b^2

Take angle A as reference,

13^2=12^2+5^2

or,169=144+25

169=169

Now,

We know,

Tanx=p/b

As we took angle A as reference,

p=5

b=12

h=13

Put that in tanx=p/b

We get,

tanx=p/b=5/12

Answer:

Step-by-step explanation:

[tex]tan \ A = \frac{opposite \ side}{adjacent \ side}\\\\tan \ A = \frac{5}{12}[/tex]