In the figure given below, ∠DBC=90° and ∠DBE is one-third of ∠ABE. What is the measure of ∠CBE?

Answer:

Mary has £20 and Tom has £16

Step-by-step explanation:

Represent their current respective money amounts by m and t.

Then m + t = £36, but also m/2 + 2t = £42.

Multiplying the second equation by 2 removes the fraction:

m + 4t = £84

and multiplying this by -1 results in

-m - 4t = -£84, which can now be added to the first equation m + t = £36:

-m - 4t = -£84

+m +  t  = £36

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

       -3t =  -£48

We have successfully eliminated m.  To solve this last result for t, divide both sides by -3, obtaining t = £16

Since m + t  = £36 and t = £16, m must be £20.

Mary has £20 and Tom has £16

Answer:

[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6

Step-by-step explanation:

To order the numbers from least to greatest turn all the numbers into decimal form.

[tex]\sqrt{7}[/tex]: 2.65

[tex]\sqrt{17}[/tex]: 4.12

[tex]\pi[/tex]: 3.14

4.6

2.8

Now order them from least to greatest (make sure you put the numbers back into their original form)

[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6

The numbers in the form of least to greatest will be [tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.

Rational numbers are those numbers which have terminating,Repeating or recurring digits after the decimal place.

Irrational numbers have non-repeating, non-recurring non-terminating digits after the decimal place.

According to the given question we have to order the number from least to greatest.

Given number are 4.6, [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], [tex]\sqrt{7}[/tex].

We know the value of π is 3.14 approx and square root of 17 lies between square root of 16 and 25 which are 4 and 5 but more close to 4 and square root of 7 lies between square root of 4 and 9 which are 2 and 3.

∴  The given numbers in increasing order will be

[tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.

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Answer:

zanna's cousin is 17 years older than zanna

Step-by-step explanation:

Answer:

17 years older

Step-by-step explanation:

1997- 1980 = 17

Answer:

The correct option is;

Number of seats

Step-by-step explanation:

A quantitative variable is a variable that has a numeric value used to describe the measured characteristic of an item

A discrete variables are countable variables within given finite amount of time

Therefore, a discrete quantitative is a countable variable that indicates the measured value of an item or feature'

In the question, the discrete quantitative variable that might be included in the brochure is Number of seats.

Answer: The number of seats

Step-by-step explanation: Because a discrete quantitative variable is a variable whose value is obtained by counting. you’re welcome:)

Answer:

x = 12

Step-by-step explanation:

3x - 13 = 23

Bring non-variable numbers to other side:

3x = 36

Divide both sides by 3:

x = 12

Answer:

x = 12

Step-by-step explanation:

This equation is very easy to solve.

3x - 13 = 23 Add 13 to both sides of the equation.

3x = 36 Divide by 3 on both sides of the equation.

x = 12

Then, check your answer by substituting the solved value.

3(12) - 13 = 23

36 - 13 = 23

23 = 23

Therefore, x = 12 is the solution to the equation.

Answer:

1/12

Step-by-step explanation:

1 in 6 probablity on the dice and 1/2 probablity on the coin. multiply 6 and 2 = 12

1/12 probablity

i think this is the right answer but im not 100 percent sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factorize 12 and 24

12 = 2 * 2 * 3

24 = 2 * 2 * 2 * 3

GCF = 2 * 2 * 3 = 12

12 + 24x = 12*1 + 12 * 2 *x

             = 12*(1 + 2x)

Answer:

200,7 miles

Step-by-step explanation:

Proportions:

223 miles   ⇔  10 gallons

D miles   ⇔  9 gallons

D = 223*9/10

D = 200.7 miles

Answer:

The answer is

Step-by-step explanation:

In order to find the number of miles he drove we use ratio and proportion

From the question

If he used 10 gallons while driving 223 miles

The 9 gallons will be

Hope this helps you

Answer:

The inverse is 1/2x +4

Step-by-step explanation:

g(x)=2x -8​

y = 2x-8

Exchange x and y

x = 2y-8

Solve for y

x+8 = 2y-8+8

x+8 = 2y

Divide by 2

1/2 x + 8/2 = 2y/2

1/2x +4 = y

The inverse is 1/2x +4

Answer:

y = 1/2x + 4

Step-by-step explanation:

The first equation is y = 2x - 8

switch out y for x

x = 2y - 8

add 8 to both sides

2y = x + 8

divide by 2 on each side

y = 1/2x + 4

Answer:

Hey there!

Total juice: 1.5+7.5=9

Orange juice: 1.5

1.5/9=1/6

Let me know if this helps :)

answer: 7(x-1)

hope this helps you

Answer: The answer is 7(x - 1).

Step-by-step explanation:

So far, we know that the givens are:

7 times the difference of a number and 1

We just need to understand what it says:

7 times ( difference of a number and 1)        

So "the number" can be any number, but you have to replace it with a variable such as n, s, x, etc. And by the way, difference is from subtraction, the result of the subtraction of 1 from the unknown number. Using this, we get:

7(x - 1)

Hence the answer!

Answer:

A

Step-by-step explanation:

5 (-5 + n) = -3 - 6n

-25 + 5n = -3 - 6n

-25 + 11n = -3

11n = 22

n = 2

First let's translate these words algebraically and form an equation:

Let oranges be x and apples be y, [tex]2.29x+1.69y[/tex]

a. coefficients are the constants multiplied by the variable, they represent the price of both oranges and apples.

b. I am assuming that the terms here represent how much he paid for the pounds of oranges and apples he bought in total.

Answer:

y ...................

Answer: If you play 4 games, the price will be the same in the two establishments.

Step-by-step explanation:

Ok, in Family Bowling we have:

$4 per game, plus $1 per shoes (the shoes are paid only one time).

Then, the price for X games, is:

Pa(X) = $4*X + $1.

In Knight Owl Bowling we have:

$3.75 per game and $2 for the shoes, the price for X games will be:

Pb(X) = $3.75*X + $2.

Now, if we want to pay the same in both establishments, we have:

Pa(X) = Pb(x)

$4*X + $1 = $3.75*X + $2

Now we should solve this for X.

$4*X - $3.75*X = $2 - $1 = $1

($4 - $3.75)*X = $1

$0.25*X = $1

X = $1/$0.25 = 4.

If you play 4 games, the price will be the same in the two establishments.

Answer:

The probability of getting a king is = 1/16.

The probability of getting a black card is = 11/24.

Answer: B. $29.25

Step-by-step explanation:

Given, Beginning price =  $24.75

Over the next 5 days,

On Monday, gain of  $2.50 represented by + $2.50.

On Tuesday, loss of $3.25 represented by - $3.25 .

On Wednesday,  loss of $0.75 represented by - $0.75.

On Thursday, gain of $1.25 represented by + $1.25.

On Friday, gain of $4.75 represented by + $4.75.

Price of the share of stock at the end of Friday = (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)

= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)

= $29.25

Hence, the correct option is B. $29.25.

Answer:

[tex] \boxed{ \bold{ \huge{ \sf{x = 29}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 3(3 + x) + 4(x - 6) = - 4 }[/tex]

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒[tex] \sf{ - 9 - 3x + 4x - 24 = - 4}[/tex]

Collect like terms

⇒[tex] \sf{x - 9 - 24 = - 4}[/tex]

Calculate

⇒[tex] \sf{x - 33 = - 4}[/tex]

Move 33 to right hand side and change it's sign

⇒[tex] \sf{x = - 4 + 33}[/tex]

Calculate

⇒[tex] \sf{x = 29}[/tex]

Hope I helped!

Best regards!!

Answer:

3x + 6y - 2

Step-by-step explanation:

6x - 2 + 9y - 3y - 3x = 6x - 3x + 9y - 3y - 2 = 3x + 6y - 2

negative twenty-four over three equals negative eight.

Answer:

C = 113.04

Step-by-step explanation:

arc ACB = (Ф/360) * 2πr

81.64 = (260/360) * 2 * π * r

r = (81.64 * 360)

         2 * π

r = 17.99 cm

Circumference = 2 * π * r

C = 2 * π * 17.99

C = 113.04

Answer:

A. x>-3

Step-by-step explanation:

You just have to divide -12 by 4 and the sign does not flip because 4 is not negative

Answer:

work shown and pictured

Answer: 7

Step-by-step explanation:

Use PEMDAS method to solve.

This means to solve all the numbers in order.

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

 1 + 2 × 3

=1 + 6 ⇔ First do multiplication

=7 ⇔ Then do division

Answer:

D

Step-by-step explanation:

So we have the expression:

[tex](3x^2-5x+6)+(9-8x-4x^2)[/tex]

Combine like terms:

[tex]=(3x^2-4x^2)+(-5x-8x)+(6+9)[/tex]

Add or subtract:

[tex]=(-1x^2)+(-13x)+(15)[/tex]

Simplify:

[tex]=-x^2-13x+15[/tex]

Our answer is D

Answer:

X=4

Step-by-step explanation:

Step-by-step explanation:

Answered... Hope you like it pls follow me.. If you like..

Answer:

Step-by-step explanation:

Like terms have same variables

16x & -4x are like terms

11p & -3p are like terms

16x + 11p - 4x -3p = 16x - 4x + 11p - 3p

                            = (16- 4)x + (11 - 3) p

                           = 12x + 8p

Answer:

(3 - y) & (x - a) are the factors

Step-by-step explanation:

3x-3a+xy-ay

=> 3x - xy - 3a - ay

=> x(3 - y) - a(3 - y)

=> (3 - y)(x - a)

(3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.

Here, we have,

given that,

the expression is : 3x-3a+xy-ay.

now, we have,

To factor the expression 3x - 3a + xy - ay, we can group the terms as follows:

3x-3a+xy-ay

=> (3x - 3a) + (xy - ay)

Now, let's factor out the common factors from each group:

=> 3(x - a) + y(x - a)

Notice that both terms now have a common factor of (x - a).

We can factor out this common factor:

=> (x - a)(3 + y)

Therefore, the factored form of the expression 3x - 3a + xy - ay is (x - a)(3 + y).

Hence, (3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.

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