On a school trip, a class travels 22 kilometers by train and 9.36 kilometers by bus. How far did the class travel?

Answer:

4>19

The statement is false 4 is not bigger than 19.

Given:

Parallel lines p and q are cut by transversal r.

m∠3=(3x + 4)° and m∠5=(2x + 11)°.

To find:

The relation between ∠3 and ∠5, then find the measure of angle 5.

Solution:

Parallel lines p and q are cut by transversal r as shown in the below figure.

From the figure it is clear that ∠3 and ∠5 are alternate interior angle. So, the values of these angles are equal.

[tex]m\angle 3=m\angle 5[/tex]

[tex](3x+4)^\circ=(2x+11)^\circ[/tex]

[tex]3x+4=2x+11[/tex]

Therefore, the required equation to solve for x is [tex]3x+4=2x+11[/tex].

Isolate variable terms.

[tex]3x-2x=11-4[/tex]

[tex]x=7[/tex]

The value of x is 7.

Now,

[tex]\angle 5=(2x+11)^\circ[/tex]

[tex]\angle 5=(2(7)+11)^\circ[/tex]

[tex]\angle 5=(14+11)^\circ[/tex]

[tex]\angle 5=25^\circ[/tex]

Therefore, the measure of angle 5 is 25°.

50%

You need to convert the fraction (ratio)

Afterwards, you will get your answer!

I don't know how to upload or I would upload a picture of my work and how to do it to help you.

I hope this helps you!

Answer:

50percent

Step-by-step explanation:

75 is half of 150

Answer:

$675

Step-by-step explanation:

You multiply 15 and 100 answer for that is 1500 then you multiply 21.75 and 100 answer for that is 2175 finally you subtract 1500 from 2175 witch gives you the final answer of 675

Total profit from the sale of 100 shares is equals to $675.

" Profit is the amount of money or revenue which we earned when  selling price of a product is more than its cost price."

Formula used

Profit = Selling price - Cost price

According to the question,

Cost price  of 1 share = $15

Therefore,

Cost price of 100 shares = 15 × 100

                                         = $1500

Selling price of 1 share = $21.75

Selling price of 100 shares = 21.75 ×100

                                            = $2175

Selling price > Cost price

Therefore , Profit

Substitute the value in the formula we get,

Profit = 2175 - 1500

         = $675

Hence, total profit from the sale of 100 shares is equals to $675.

Learn more about profit here

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Answer:

Jessica bought 2.25 yards more material than Derek.

Step-by-step explanation:

Answer: 12 1/2

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

a.12

Step-by-step explanation:

4.8x2.5=12

Answer:

138

Step-by-step explanation:

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.

Answer:

4(6x+3) in distributive property.

Step-by-step explanation:

Answer:

A has 25 yd on each side and B has 16 ft each side. Please mark Brainliest since I was the first one to respond

Step-by-step explanation:

Answer: (a) 25yd.

              (b) 8 ft

Step-by-step explanation:

(a) Since each side of the square are equivalent and there are four sides of a square. So you do 100÷4=25

(b)The formula for a square is A=bh.

Since 8x8=64.

Answer:

Chang sent 17 messages, Alonzo sent 51 and Raina sent 26.

Step-by-step explanation:

You turn the word problem into an algebraic expression and solve

Answer:

2 1/7

Step-by-step explanation:

Answer:

2 1/7, is 15/7(improper fraction) as a mixed fraction, and

1 8/7 is an improper mixed fraction equivilent to 2 1/7.

Step-by-step explanation:

15/7 = 7/7 + 7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7

1 8/7 = 1 + 8/7 = 1 +7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7

Answer:

desmos

Step-by-step explanation:

look up desmos. its a grphing calculator and it gives u all the awnsers. welcome bro

Answer:

Y - intercept is -4

X - intercept is 3

x, and y are both variables that stand for the intercepts in the equation, if that makes sense.

Hope that helps and have a great day!

Answer:

-12k + 24

Step-by-step explanation:

-3 × -8 = 24

-3 × 4k = -12k

Answer:

121

Step-by-step explanation:

74+47=121

180-121=59

59+x=180

x=121

Answer:

This is a function because the Y values do not repeat.

Answer:

Thank U

Step-by-step explanation:

Answer:

thx

Step-by-step explanation:

Answer:

1.  221+ 727  

2.  45+5  

3.  220+ 244  

4.  2( -285)  

5.  (-9)

6. 1665  (multiplying)

7.  -3074 (multiplying)

8.  685 *5

9. - 20  2/9

10. 82575 (multiplying)

Step-by-step explanation:

1.34+914=____221_____________

948 =  221+ 727     (subtracting 221 from 948)

2. 16+34=______45___________

50=  45+5    ( adding 5 to 45 to get 50)

3. 46+418=_________220________

464= 220+ 244    ( subtracting 220 from 464)

4. 45-615=2 ________________

- 570 = 2( -285)   (dividing -570 by 2)

5. 25-36=_________________ (-9)

-9 = -9   ( subtraction)

6. 37 x 45=_________________ 1665  (multiplying)

7. 58x (-53)=_________________ -3074 (multiplying)

8. 3425=_________________ 685 *5  (dividing by 5)

9. 910÷(-45)=_________________ 182/ (-9) (dividing both by 5)

= - 20  2/9

10. 367 x 225=_________________ 82575 (multiplying)

Answer:

1,400

Step-by-step explanation:

300x5=1,500 and 1,500-100=1,400

Answer:

equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]

Then you fill x and y to find out the y intercept

[tex]11.25=-7.5*0.5+b[/tex]

[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]

Y intercept= 15

then you put it in the equation:

y=-7.5x+15

Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.

That is 5 miles/hour

The distance and time, as presented in this question are illustrations of linear equations.

From the diagram, we have:

[tex](x_1,y_1) = (0.5,11.25)[/tex]

[tex](x_2,y_2) = (1.2,6)[/tex]

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]

[tex]m = \frac{-5.25}{0.7}[/tex]

[tex]m = -7.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -7.5(x - 0.5) + 11.25[/tex]

[tex]y = -7.5x + 3.75 + 11.25[/tex]

[tex]y = -7.5x + 15[/tex]

Calculate distance, when [tex]x = 5[/tex]

We have:

[tex]y = -7.5 \times 5 + 15[/tex]

[tex]y = -22.5[/tex]

The speed (s) is then calculated as:

[tex]s = \frac{22.5}{5}[/tex]

[tex]s = 4.5[/tex]

Hence, he must plan to ride at 4.5 miles per hour

Read more about linear equations at:

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Answer:

31.258 :)

Step-by-step explanation:

Answer:

1.09,1.19,1.9,1.901

Answer:

1.09, 1.19, 1.9 ,1.901

Step-by-step explanation:

Answer:

The arrow will take 4.19 seconds to hit the ground

The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height

Step-by-step explanation:

The quadratic function is f(t) = -5t² + 20t + 4, where

f(t) is the height in feet

t is the time in seconds

If the arrow hit the ground that means h(t) = 0

→ Substitute h(t) by 0 and use the quadratic formula to find t

∵ h(t) = 0

∴ 0 = -5t² + 20t + 4

→ Switch the two sides

∴ -5t² + 20t + 4 = 0

→ Multiply all terms by -1 to make the coefficient of t² positive

∴ 5t² - 20t - 4 = 0

→ The quadratic formula is [tex]t=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}[/tex] , where

∵ a = 5, b = -20, c = -4

∴ [tex]t=\frac{-5+-\sqrt{(-20)^{2}-4(5)(-4)}}{2(5)}[/tex]

∴ [tex]t=\frac{-5+-\sqrt{400+80}}{10}[/tex]

→ Find the values of t in decimal

∴ t = 4.19 seconds OR t = -0.19 ⇒ refused because it is negative

∴ The arrow will take 4.19 seconds to hit the ground

The graph of this quadratic function is a parabola with maximum vertex (h, k), where

To find the maximum height and the time taking for this to occur find h and k where k is the maximum height and h is the time for this to occur

∵ f(t) = -5t² + 20t + 4

∵ a = -5 and b = 20

∴ h = [tex]-\frac{20}{2(-5)}=-\frac{20}{-10}=2[/tex]

∴ The time for the maximum height is 2 seconds

→ Now use it to find k

∵ k = f(h)

∴ k = f(2)

∵ f(2) = -5(2)²+ 20(2) + 4

∴ f(2) = -5(4) + 40 + 4

∴ f(2) = -20 + 40 + 4

∴ f(2) = 24

∴ k = 24

∴ The maximum height is 24 feet

The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height

Answer:

B

Step-by-step explanation:

Answer:

6, 9, 12, 15, and 18

Step-by-step explanation:

Answer:

the first answer and the last one

Answer:

The neighbor is 20 years old.

The third neighbor is 68 years old.

Step-by-step explanation:

Equations

Let's set:

x=current age of the neighbor

x+5=his age in 5 years

x-5=his age 5 years ago

He claims that his age is the difference between twice his age in 5 years and twice his age 5 years ago. Then:

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

Operating:

x = 2x + 10 - 2x +10

Simplifying:

x = 20

The neighbor is 20 years old.

Repeating for the other neighbor, a similar equation is established:

x = 2( x + 17 ) - 2( x - 17 )

Operating:

x = 2x + 34 - 2x +34

Simplifying:

x = 68

The third neighbor is 68 years old.

Answer:

41°

Step-by-step explanation:

180°- 63° - 76° = 41°