Two parallel lines are crossed by a transversal.

What is the value of b?

O b 32

O b = 118

Ob=52

o b = 128

Answer:

D) n<5

Step-by-step explanation:

Answer:

Option 2: 1 teaspoon of baking soda per 1 cup of flour

Option 3: ½ teaspoon of salt per 1 teaspoon of baking soda

Step-by-step explanation:

The recipe has 3 ingredients mixed in the following ratio =>

½ of a cup of flour : ½ of a teaspoon of baking soda : ¼ of teaspoon of salt

Let's analyse each given options to see which rate is correct or not using the above ratio that makes a recipe:

Option 1 => 2 teaspoon of salt : 1 teaspoon of baking soda.

¼ salt : ½ baking soda

2 salt : x baking soda

Thus, ¼ / ½ = ²/x

Cross multiply

¼*x = ½*2

x/4 = 1

x = 4

Therefore, 2 teaspoon of salt will need 4 teaspoon of baking soda not 1.

Option 2 => 1 teaspoon of baking soda : 1 cup of floor.

½ baking soda : ½ flour

1 baking soda : x flour

Thus, ½ / ½ = ¹/x

Cross multiply

½*x = ½*1

x/2 = ½

Multiply both sides by 2

x = ½*2

x = 1

Therefore, 1 teaspoon of baking soda will need 1 cup of floor. This is correct.

Option 3 => ½ teaspoon of salt : 1 teaspoon of baking soda.

¼ salt : ½ baking soda

½ salt : x baking soda

Thus, ¼ / ½ = ½/x

Cross multiply

¼*x = ½*½

x/4 = ¼

Multiply both sides by 4

x = ¼*4

x = 1

Therefore, ½ teaspoon of salt will need 1 teaspoon of baking soda. This is correct.

Option 4 => 1 teaspoon of baking soda : 2 teaspoon of salt.

½ baking soda : ¼ salt

1 baking soda : x salt

Thus, ½ / ¼ = 1/x

Cross multiply

½*x = ¼*1

x/2 = ¼

Multiply both sides by2

x = ¼*2

x = ½

Therefore, 1 teaspoon of baking soda will need ½ teaspoon of salt not 2.

Option 5 => 2 teaspoon of salt : 1 cup of flour

¼ salt : ½ flour

2 salt : x flour

Thus, ¼ / ½ = ²/x

Cross multiply

¼*x = ½*2

x/4 = 1

x = 4

Therefore, 2 teaspoon of salt will need 4 cup of flour not 1.

The correct options are option 2 and option 3.

Answer:

D

Step-by-step explanation:

one tablespoon is three teaspoons

do the multiplication and boom

Answer:

D. 10

Step-by-step explanation:

1 tablespoon = 3 teaspoons

Answer:

hold my picolr

Step-by-step explanation:

Answer:

(B) 54°

the angle you're searching is equal to the angel above 126° ( corresponding angle)

180° - 126° = 54°

Answer:

B

Step-by-step explanation:

Subtract 126 from 180 which gives 54

Answer:

the ball will be in the air for possibly 2.5 seconds and it max hieght was 10 ft

Step-by-step explanation:

no clue

Answer:

Step-by-step explanation:

x2 - 4x - 12 = 0

x2 - 6x + 2x - 12= 0

x(x - 6) + 2(x - 6) = 0

x + 2 = 0

x = - 2

x - 6 = 0

x = 6

Answer:

b

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

If you are struggling with this here's a tip!

-18+-6 is what you are trying to solve

The 6 is negative, so get rid of the plus sign -18-6

2 negative numbers are just added like positive numbers

So add 18 and 6, you should get 24

Don't forget about the negative!

-24

Answer:

f(x) = x³ +4x²+10

f'(x) = 3x²+8x

the critical point is that x value that has zero to be the first derivative function

3x²+8x = 0

when we factorize

x(3x+8) = 0

x = 0

3x+8 = 0

3x = -8

x = -8/3

at critical point when f"(x)>0, that is our minima

when f"<0 that is the maxima

f'(x) = 3x²+8x

f''(x) = 6x + 8

f"(0) = 8>0

the point x = 0 is minima point

f"(x) = -8/3 = -8<0 is Maxima

x coordinate of maxima = -8/3

Answer:

15150 is the required sum.

Step-by-step explanation:

Gauss method of summing sequences like this is to add the first term to the last term, the second term to the second to the last term and so on until you get to the middle. By doing this, you will always get the same sum. Then you divide the number of terms by two, because you are technically adding the first half of the sequence to the second half. You then multiply the sum of each pair that gave the same number with the number of terms that has been divided by 2. For this problem we have:

3 + 300 = 303

6 + 297 = 303

9 + 294 = 303

and so on.

100÷ 2 = 50.

Therefore we have 50 * 303 = 15150 is the required sum.

Answer: 14.5

Step-by-step explanation:

Given data:

Success rate = 80% = 0.8

No of flights = 7

No of failures = 1 – 0.8 = 0.2

Solution

at least 3 flights are on time is

= 7C3 * (0.80)^3 * (0.80)^1  +  7C7 * (0.80)^7 * (0.80)^1

= 35 * 0.512 * 0.8 + 1 * 0.21 * 0.8

= 14.336 + 0.168

= 14.5

Answer:

726

Step-by-step explanation:

Answer:

it is 726

Step-by-step explanation:

you subtract 2215 and 1489 and that gives you 726. :)

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y-intecept

Your equation is:

y= -1/3x - 3

So the slope is:

- 1/3

The y-intercept is:

-3

Answer:

2.5

Step-by-step explanation:

good luck :)

Answer:

0.09

Step-by-step explanation:

:)

Answer: .09

9% converted to a decimal is .09

Plz mark brainliest:)

Answer:

E. 500

Step-by-step explanation:

All 3 are divisible by 500

Answer:

y = 5

Step-by-step explanation:

Answer:

Y=3

Step-by-step explanation:

You would want to multiply y and 4 by 3.

5y+6=3(y+4)

×3 ×3

5y+6=3y+12

Now you want to have y by itself. You can first subtract 6 for starters.

5y+6=3y+12

-6 -6

5y=3y+6

5y=3y+6

-3y -3y

2y=6

Now you would want to divide.

2y=6

÷2 ÷2

y=3

You're answer would be y=3.

Answer:

The mixed number 9 1/2 is equivalent to the improper fraction 19/2.

Step-by-step explanation:

Pls make me brainliest

Answer: 39/2

Step-by-step explanation:

Multiply 19 by 2

19x2=38

add the 1 from the 1/2

1+38=39

39/2 is your answer

Answer:

Yes

Step-by-step explanation:

Starting with 2, the step to the next number is 6.  Each step increases by 3.

When you are on 8, the next step is an increase of 9.  The next step is an increase of 12,  The next step not shown would increase by 15 for give you 44.

So the first step would be 3 below the number 6 which would be subtracted from 2 to give you - 1 as your first starting point.

The common difference is 3(n) where n is an integer starting with 0 and incrementing by 1 with each new Y2 and Y1 is  -1.

The equation Y2 = 3(n+1) + Y1    where n=0

Answer:

[tex]Sum = 64[/tex]

Step-by-step explanation:

Let the three numbers be a, b and c; such that:

[tex]a + b = 29[/tex] ---- (1)

[tex]b + c = 46[/tex] --- (2)

[tex]a + c = 53[/tex] --- (3)

Subtract equation 2 from 3

[tex]a - b + c - c = 53 - 46[/tex]

[tex]a - b = 7[/tex] --- (4)

Add this equation to the (1)

[tex]a + a + b - b = 29 + 7[/tex]

[tex]2a= 36[/tex]

Solve for a

[tex]a = 36/2[/tex]

[tex]a = 18[/tex]

Substitute 18 for a in (1)

[tex]a + b = 29[/tex]

[tex]18 + b = 29[/tex]

Solve for b

[tex]b = 29 - 18[/tex]

[tex]b = 11[/tex]

Substitute 11 for b in (2)

[tex]b + c = 46[/tex]

[tex]11 + c = 46[/tex]

Solve for c

[tex]c = 46 - 11[/tex]

[tex]c = 35[/tex]

[tex]Sum = a + b +c[/tex]

[tex]Sum = 18 + 11 + 35[/tex]

[tex]Sum = 64[/tex]

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

= 0.31216134411

Approximately = 0.312

0.343 + 0.03083865589

= 0.37383865589

Approximately to = 0.374

Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)

Answer:

5x-y +42=0

Step-by-step explanation:

Using m=Y2- Y1

X2- X1

the slope of the line is found .

Put your answer in Y - Y1 = m( X - X1)

to get the equation

Answer:

point ??????? I think not sure

Answer:

D. 4/(2/5)

Step-by-step explanation:

For example, if the wood was 8ft long, and was cut into 4 foot long segments, you would divide 8 by 4 to get 2, which is the logical answer. Use the same thinking here. In other words, divide the large piece into smaller pieces.

For this one, divide 4 (large) by 2/5 (small).

If simplification is needed you can make 10 pieces.

Answer:

m= -90 is your answer

Step-by-step explanation:

For future reference, you should try using Symbolab, it works really well and I use it ALL the time!

Answer:

The equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is

8t + 86 = 126 OR 8t = 40

Step-by-step explanation:

From the question,

In the smaller section of the banquet hall, there are 9 tables with 6 chairs each.

This means there are 9 × 6 chairs there

9 × 6 = 54

Hence, there are 54 chairs in the smaller section of the banquet hall.

Also, from the question,

In the larger section of the banquet hall, there are currently 4 tables with 8 chairs each.

This means there are 4 × 8 chairs there presently

4 × 8 = 32

Hence, there are currently 32 chairs in the larger section of banquet hall.

From the question,

More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall.

If t more tables are to be added,

This means that t × 8 (8t) chairs will be added to the larger section so that there will be 126 total chairs in the banquet hall.

The total chair in the banquet hall will be = Total number of chairs in the smaller section + Current number of chairs in the larger section + Number of chairs to be added to the larger section

Therefore,

126 = 54 + 32 + 8t

126 = 86 + 8t

Then,

8t + 86 = 126

8t = 126 - 86

8t = 40

This equation can be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section.

Hence, the equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is

8t + 86 = 126 OR 8t = 40.

If desired,

8t = 40

t = 40/8

t = 5

Hence, 5 more tables are needed in the larger section.

Answer:

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

Step-by-step explanation:

The question says you get 7 points per quiz out of 3 quizzes.

7+7+7 = 21

Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.

Remember;

None of these scores are to be higher than 10. We need to add up scores below 10.

4,9,8 = 4+9+8 = 21

9,9,3 = 9+9+3 = 21

6,7,8 = 6+7+8 = 21

8,8,5 = 8+8+5 = 21

5,7,9 = 5+7+9 = 21

All of these gives 7 as average.