Simplify the expression.
7(9k + 2m)

Answer:

∠ 2 = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles fro 180° for ∠ 2, that is

∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°

Question:

A factory uses 1/8 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/4 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

Answer:

The factory made 2 batches of granola yesterday.

Step-by-step explanation:

Our ratio from the question is given as:

1/8 barrel of raisins = 1 batch of granola

Hence: 1/4 barrel of raisins = x batches of granola.

Cross Multiply

1/8 × x = 1/4 × 1

x = 1/4 ÷ 1/8

x = 1/4 × 8/1

x = 2 batches of granola

Therefore, the factory made 2 batches of granola yesterday

Answer:

ASA cannot be used because we are only given one angle that is congruent.

Step-by-step explanation:

Answer:

look at my explanation.

Step-by-step explanation:

What is an Expression?

An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is:

Expression = (Number, Math Operator, Number)

For example,

= 7 + 9

= 23 × 4

= 37 – 6

= 25 + 9 – 4 ÷ 2

Answer:

AC=13, DE=24

Step-by-step explanation:

we find it using Pythagoras theorem, a²+b²=c²

note that 'c²' always represent the hypotenuse

for the first triangle,

5²+12²=25+144=169, this is the square form

√169=13

AC=13

for the second,

10²+b²=26², we will rearrange the formula so that we could find 'b'

b²=26²-10²

b²=676-100

b²=576

b=√576

b=24

DE=24

i hope this helps

Stay safe from the virus

Answer:

-2.5

Step-by-step explanation:

it is what it is

The rate of change for the line of best fit = -2.5 degrees

"The rate at which one quantity is changing with respect to another quantity."

"The equation of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is [tex]\frac{y-y_1}{y_2-y_1}= \frac{x-x_1}{x_2-x_1}[/tex]"

For given question,

We have been given a scatter plot and the line of best fit.

We can observe that the line of best fit passes through points (40, 25) and (30, 50)

Let [tex](x_1,y_1)=(30,50),(x_2,y_2)=(40,25)[/tex]

So, the equation of the line of best fit would be,

[tex]\Rightarrow \frac{y-50}{25-50}= \frac{x-30}{40-30} \\\\\Rightarrow \frac{y-50}{-25}= \frac{x-30}{40-3010} \\\\\Rightarrow y-50=\frac{-25}{10} (x-30)\\\\\Rightarrow y-50=-2.5x+75\\\\\Rightarrow y=-2.5x+125[/tex]

Here slope of the line is [tex]m=-2.5[/tex]

We know that the slope is the rate of change for the line of best fit.

Therefore, the rate of change for the line of best fit = -2.5 degrees

Learn more about the rate of change here:

https://brainly.com/question/12786410

#SPJ2

Answer:

5y

Step-by-step explanation:

Answer:

x = 3 and x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]

Answer:

9?

Step-by-step explanation:

9 + 7 is `16, and 16 is a multiple of 4

Answer:

brainliest please i work really hard for this

Step-by-step explanation:

Hit Water:

He hits the water when his height, h(t), is 0 meters above water.

0 =  

This is no factorable so we use the quadratic formula.

(-b±√(b²-4ac))/2a

(-10±√(10²-4*-5*3))/2*-5

(-10±√(100+60))/-10

(-10±√160)/-10

(-10±√16*10)/-10

(-10±4√10)/-10

(-10±4√10)/-10         Seperate to two equations

(-10+ 4√10)/-10                          and                (-10- 4√10)/-10

(-10+12.65)/-10                                                 (-10-12.65)/-10  

-.265 Not Solution                                          2.265 Seconds

Becasue there is no negative time

The diver hits the water at 2.265 seconds

For when he is at the same height as the spring board, we need to find the height of the spring board, and we do that by substituting 0 for t because we need the height 0 seconds after he jumps.

h(0) = -5*0^2 +10*0 +3

h(0) = 3   The height of the spring board is 3 so we need to know when he is at 3 meters again.

3= -5t^2 + 10t + 3       Subtract 3 from both sides

0= -5t^2 +10t

0= -5(t^2-2t)       Factor out -5 and divide both sides by -5

0= t^2-2t    

0= t(t-2)      Factor out t.

Solve.

t= 0               t-2=0

                    t= 2

He will be at the same height as the spring board at t= 2 seconds

Answer:

40 oz of sugar

Step-by-step explanation:

1) you have the basic measurement for 36 fluid ounces of lemonade, now imagine how many time can 36 go into 180 in order to find how many sugar oz you will need

180/36= 3

This mean 180 is 5 times as much lemonade and you will need 5 times as much sugar.

8ounces of sugar x 5 =  40ounces of sugar to make 180fluid ounces of lemonade

Answer:

11.x=100

12.x=118

Step-by-step explanation:

using the interior angles theorem the space below x is 80 degrees

the space below 80 is x

Every paralellogram equals 360 degrees

add all angles and subtract from 360 to find x

80+80+x+x=160+x2

x2=200

x=100

Use the same thing for 12

62+62+X+X=360

124+2X=360

2X=236

x=118

Answer:

option 2

Step-by-step explanation:

Answer: Option 2

Step-by-step explanation:

Option 2 features 2 columns and 5 rows, which is representative of the question 0.2 x 0.5. The other options do not model the correct values expressed in the question.

Answer:

ill try :)

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

x+45+60=180

x+105=180

x=180-105

x=75

Answer:

Step-by-step explanation:

set jk and kl equal to each other bc they are the same length (we know this bc of the midpoint)

3x - 1 = 2x + 8

x = 9

substitute 9 in an equation

2(9) = 8 = KL

18 + 8

26 = KL

since KL is the same length as JK we can just multiply 26 * 2

JL = 52

hope this helps <3

Answer:

What's the question??

Answer:

[tex] = 200 + 50 \\ = 250 \\ [/tex]

Question  A cell phone plan costs $200 to start. Then there is a $50 charge each month.

answer 250

Answer:

Check below for the process

Step-by-step explanation:

So ill take a) for example. it says that y is equal to 4 times x. y referring to the column y. So in the first row when it says x is one you would have to do 4 times 1 to find what would be in y

Answer:

x = 5

Step-by-step explanation:

27= 3 (3х - 6)

27 = 9x - 18

27 + 18 = 9x

45 = 9x

45/9 = x

5 = x

x = 5

Answer: 0.67

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8x-1+3x+4+3x+9=180

14x+12=180

14x=180-12

x=168/14

x=12

Answer:

8x-1+3x+9+3x+4=180

8x+3x+3x=180+1-9-4

14x=168

x=12

Step-by-step explanation:

Answer:

300L per hour

Step-by-step explanation:

The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.

Rate of change of volume of blood = [tex]\frac{volume of blood}{time}[/tex]

                           = [tex]\frac{7200L}{24}[/tex]

                           = 300L/hour

The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.

Answer:

The correct answer is 100 minutes or 1 hour and 40 minutes

Step-by-step explanation: