In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.

Answer:

A. (5,2)

Step-by-step explanation:

If you go to solve the equation you would first try to get y by itself in the first equation and you would do that by subtracting x on both sides. Then you would have y=7-x and then you would plug the second equation in for the x and get the equation y=7-y-3 because you distribute the negative sign of the x to both the y and 3. Then you combine like terms and get y=4-y and then add the y to both sides and get 2y=4 and then divide both sides by 2 and get y=2. Then you plug in y in the first equation and get x+2=7. Then you subtract 2 from both sides and get x=5.

Answer:

no slope

Step-by-step explanation:

Answer:

B, between 2.8 and 2.9

Step-by-step explanation:

it is exactly 2.828427125

-53

Step-by-step explanation:

[tex] \frac{( { - 8)}^{2} }{5 - 9} - ( - 1)^2 + 4( - 9) \\ = \frac{64}{ - 4} - 1 - 36 \\ = - 16 - 1 - 36 \\ = - 52 - 1 \\ = - 53[/tex]

Answer:

Steps 1 and 2

Step-by-step explanation:

Henry applied the distributive property between steps 1 and 2.

The distributive property states that a(b + c) = ab + ac. In step 1, Henry used the distributive property to expand -3(x + 2) and 5(x - 7). This is evident when we rewrite step 1 using the distributive property:

Step 1 (using distributive property):

-3(x + 2) = -3 * x + (-3 * 2) = -3x - 6

5(x - 7) = 5 * x + (5 * -7) = 5x - 35

After applying the distributive property, Henry was able to simplify the equation and move on to step 2. The distributive property is a fundamental property in algebra that helps us expand expressions and make solving equations more manageable. In this case, it allowed Henry to eliminate the parentheses and combine like terms, bringing him closer to solving for the variable x.

Overall, the distributive property played a crucial role in transforming the original equation in step 1 into a simpler form in step 2, enabling Henry to continue solving the equation until he found the value of x in step 5.

To know more about Distributive Property here

https://brainly.com/question/30828647

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Complete Question

Choose the correct answer form the given options :

Select the correct answer

Henry used these steps to solve an equation:

Step 1: -3(x + 2) = 5( x - 7)

Step 2: -3x - 6 = 5x - 35

Step 3: -8x - 6 = -35

Step 4: -8x = -29

Step 5: x = 29/8

Between which two steps did Henry apply the distributive property?

steps 1 and 2

steps 2 and 3

steps 3 and 4

steps 4 and 5

Answer: Juanita

Step-by-step explanation: The question is referring to ratios of the lemon flavor. Juanita's lemonade is 4:2 and Lydia's is 5:3. 4:2 is a larger ratio than 5:3, so that means that Juanita's recipe has a higher concentration of lemon flavor.

Answer:

Step-by-step explanation:

   9² + 10² + 11² + ......... 20² =

= 9² + 10² + 11² + 12² + 13² + 14² + 15² + 16² + 17² + 18² + 19² + 20² =

= 81 +100 +121 +144 +169 +196 +225 +256 +289 +324 +361 +400 =

= 2666

Answer:

p = 29 and q = -3

Step-by-step explanation:

Using long division, the remainder when we divide by x − 1 is p+q−16.  The remainder when we divide by x + 1 is p−q−20.

Therefore:

p + q − 16 = 10

p − q − 20 = 12

Add the equations together:

2p − 36 = 22

2p = 58

p = 29

Plug into either equation to find q:

q = -3

Answer:

It would be B. Fuction 1 has the larger maximum at (4,1)

Step-by-step explanation:

because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

You can use a graph to identify the vertex or you can find the minimum or maximum value algebraically by using the formula x = -b / 2a. This formula will give you the x-coordinate of the vertex. Simply replace the x in your original equation with the value of the x-coordinate and then solve for y.

Answer:

It would be B. Fuction 1 has the larger maximum at (4,1)  because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can simplify (cross multiply) to get [tex]xy^2=wz[/tex]

Then we easily simplify to get [tex]y=\sqrt{\frac{wz}{x}},\:y=-\sqrt{\frac{wz}{x}};\quad \:w\ne \:0,\:x\ne \:0[/tex]

Answer:

(9,5.5)

Step-by-step explanation:

Answer:

(3,11)

Step-by-step explanation:

we find the vertex of

[tex]g(x)=|x-3|[/tex] which is going to be (x,0)

and we add 11 (movement upward) so the vertex is (x,11)

vertex of g(x)

it is going to be when g(x)=0

and that only happens when x=3

so vertex (3,0)

so vertex of f(x)

(3,11)

if you don't believe i leave you the graph

Answer:

i believe it should be E

Step-by-step explanation:

domain is x

range is y

since x is the number of days (0-30) the domain would be [0,30]

for y since she is decreasing 40 every two days that would be 15 days x 40 calories which is 600 (on 30th day)

subtract 600 from 2500 = 1900

so the range would be [1900,2500]

Answer:

Y= - [tex]\frac{38}{9}[/tex] or -4.222...

Step-by-step explanation:

-5=y-[tex]\frac{7}{9}[/tex]

y=[tex]\frac{7}{9}[/tex]-5

y= [tex]\frac{7}{9} - \frac{45}{9}[/tex]

y = - [tex]\frac{38}{9}[/tex]

y= about -4.222...

Answer:

o45

Step-by-step explanation:

Because 45 is the largest number.

Answer:

80

Step-by-step explanation:

This is a combination question that contains multiple clothing items and to solve such question we multiply the given numbers :

5 × 4 × 4 = 80

If [tex]y=\frac{x}{2}+1[/tex] then [tex]y_{\perp}=-2x+1[/tex].

The slope in first line is [tex]1/2=0.5[/tex], therefore the slope of perpendicular line must be [tex]-1/0.5=-2[/tex].

Hope this helps.

Answer:

62

Step-by-step explanation:

JL = JK + KL

5x + 2 = 3x - 1 + 27 add like terms

5x + 2 = 3x + 26

2x = 24

x = 12

JL = 12 × 5 + 2

JL = 62

Answer:

8 1/4(Decimal:-8:25)

Step-by-step explanation:

simplify:

-51/4 - 3

=8 1/4 (decimal:-8.25)

Answer:

The answer would be 8 1/4

Step-by-step explanation:

-5 1/4 + (-3)

let's start with the whole numbers:

-5 + (-3) = -8 because it's just like adding positives but add a negative sign

so then we just add the -1/4 and you get -8 1/4

*you have to put the second number in parentheses because its how you properly write the equation Ex: -2+8+(-3)+(-1 5/6)=...

* also note that when you add two negatives it becomes a positive!!!

Answer:

the answer is 12z-2

Step-by-step explanation:

hope it help

Answer:

12z-2

Step-by-step explanation:

We are given the expression:

10z+2z-2

and asked to combine like terms.

First, let’s analyze each term.

10z : has the variable “z”

2z : has the variable “z”

-2 : does not have a variable

The like terms in this expression are the 2 terms with the variable “z”. Add the 2 terms, 10z and 2z.

10z + 2z -2

(10z+2z)-2

(10+2)z-2

(12)z -2

(12z)-2

12z-2

The expression 10z+2z-2 when simplified is 12z-2.

Answer:

  $12.95

Step-by-step explanation:

Let L represent the cost of a light fixture. The amount Mr. Right paid is ...

  5L = $64.75

  L = $64.75/5 = $12.95

Each light fixture cost $12.95.

_____

You may notice that the light switches and their cost are irrelevant to the question.

Answer:

Step-by-step explanation:

[tex]18\: girls \\ 27 \:boys\\\\Girls\:: Boys\\18 \: \:\:\:\:\:\:: 27\\\\Use\:3\:to\:divide\:through\\6:9 = 2:3\\[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{65.51\% \: }}}}}[/tex]

Step-by-step explanation:

Given,

Cost price of a car ( CP ) = $ 29,000

Selling price of a car ( SP ) = $ 10,000

Since , SP < CP, there is a loss.

Loss % = ?

First, Finding the loss amount

⇒[tex] \boxed{ \sf{loss = cost \: price \: - selling \: price}}[/tex]

⇒[tex] \sf{loss = 29000 - 10000}[/tex]

⇒[tex] \sf{loss = 19000}[/tex]

Loss amount = Rs 19000

Finding the loss %

[tex] \boxed{ \sf{loss \: percent = \frac{loss}{cost \: price} \times 100\%}}[/tex]

⇒[tex] \sf{loss \: \% \: = \frac{19000}{29000} \times 100\%}[/tex]

⇒[tex] \sf{loss \: \% \: = \: 65.51 \: \%}[/tex]

Loss percent = 65.51 %

Hope I helped!

Best regards!!

Answer:

10,120

Step-by-step explanation:

Answer: Option 2. x≥-78

Step-by-step explanation:

(x/-6)+2≤15

     x/-6≤13

         x≥-78 ⇔ REMEMBER you need to change the direction of the sign    

                         when you multiply/divide a negative number

Option 2. x≥-78

Hope this helps!! :)

Please let me know if you have any question

Answer:

It's 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

divide 121 by 11 then boom, there u go

Answer:

Number of nickels = 6

Number of dimes = 14

Number of quarters = 23

Step-by-step explanation:

Total number of coins = 43

Let number of nickels = n

Let number of dimes = d

Let number of quarters = q

[tex]n+d+q=43 ...... (1)[/tex]

Money in n nickels = [tex]n \times 0.05[/tex]

Money in d dimes = [tex]d \times 0.10[/tex]

Money in q quarters = [tex]q \times 0.25[/tex]

Total money = $7.45

[tex]0.05n +0.10d+0.25q = 7.45\\\Rightarrow 5n +10d+25q = 745 .... (2)[/tex]

The sum of the numbers of nickels and dimes is 3 less than the number of quarters.

i.e.

[tex]n+d=q-3[/tex]

Let us put the value  in (1):

[tex]q-3+q=43\\\Rightarrow 2q= 43+3\\\Rightarrow q =23[/tex]

Putting the value of q in (1) and (2):

n+d = 20 .... (3)

[tex]5n+10d+575 =745\\\Rightarrow 5n+10d =170\\\Rightarrow n+2d =34 .... (4)[/tex]

(4) - (3):

d = 14

Now, from (3):

n = 6

Number of nickels = 6

Number of dimes = 14

Number of quarters = 23

Answer:

x = 2

Step-by-step explanation:

AC = BC

5x = 10

x = 2

Answer:

I think it's 1/2

Step-by-step explanation:

32+25 is 60 and the total number of students are 50, meaning 10 offer both, and your question says chemistry only so I guess you'll have to subtract the 10 from the 35.

therefore, 25/50= 1/2.