A football team is currently number 19 in overall offence. They have gotten 1,940 yards, while the number one
offence has received 2,728 yards. They've both played four games. How many more yards per game is the top
team receiving?

Answer:

d = 6 , a₁ = - 6 and a₁₀ = 48

Step-by-step explanation:

The nth term of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 6 and a₇ = 30 , then

a₁ + 2d = 6 → (1)

a₁ + 6d = 30 → (2)

Subtract (2) from (1) term by term to eliminate a₁

4d = 24 ( divide both sides by 4 )

d = 6

Substitute d = 6 into (1)

a₁ + 2(6) = 6

a₁ + 12 = 6 ( subtract 12 from both sides )

a₁ = - 6

Then

a₁₀ = - 6 + (9 × 6) = - 6 + 54 = 48

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

Answer:

d=6

a=-6

Step-by-step explanation:

use the formula for the nth term which is

Tn=a+(n-1)d..you will have to create two equations then solve them as a simultaneous equation

T3=6 and T7=30

T3=a+(3-1)d

6=a+2d........... first equation

T7=a+(7-1)d

30=a+6d.......... second equation

then solve them as a simultaneous equation

a+2d=6

a+6d=30

-4d/-4=-24/-4

d=6

a+2d=6

a+2(6)=6

a=6-12

a=-6

I hope this helps

Answer:

Step-by-step explanation:

favorable events for a sum of 3 are 12,21

P(sum 3)=2/36=1/18

favorable events for a sum of 9 are 36,63,45,54

P(sum of 9)=9/36=1/4

.・。.・゜✭・Srry but which language is this!?

Answer:

general term - 7n+4

5th term - 7(5) + 4 = 39

6th term - 7(6) + 4 = 46

Answer:

D. y - 7 = 11(x - 5)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the given slope and point:

y - y1 = m(x - x1)

y - 7 = 11(x - 5)

So, the correct answer is D. y - 7 = 11(x - 5)

Answer:

1884

Step-by-step explanation:

1)If you hear the condition "less than four letters" it means that each word can consist of 3,2 or 1 letter. Firstly, consider the easiest situation with the word from one letter. There are 12 letters, so there are 12 words from one letter.

Then the words from two letters. The first letter of such a word can be chosen in 12 means(because 12 letters are available), then the second letter can be chosen in 12 means too. 12*12=144 words with 2 letters. (Multiplying, not adding, because each two words form one combination).

Then for the words from three letters, use the same rule, 12 means for the first letter, 12 means for the second letter, 12 means for the third letter. 12*12*12=1728 words.

Having particular words from 1,2,3 letters add them to get total quantity of words: 12+144+1728=1884words,that is the answer.

Answer:

12/5

Step-by-step explanation:

since we are dealing with the angle at Z, we consider Z also to be the center of a circle.

then 10 is the radius of this circle.

24 is tan Z in this circle with radius 10.

tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.

so, tan Z = 24/10 = 12/5

Answer:

y=-4x+2

Step-by-step explanation:

Hi there!

We want to find out which equation represents a line with a slope of -4 and a y intercept of (0,2)

The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We have everything we need to plug into the equation, let's just label the values to avoid confusion

m=-4

b=2 (when you substitute the y intercept as b, b is the value of y in the point)

Now substitute into the equation

y=-4x+2

Hope this helps!

Answer:

The answer is "21%".

Step-by-step explanation:

[tex]\to 26 + 20 + 29 + 49 = 124\\\\=\frac{26\ \text{brown times}}{124 \ \text{total times}} \\\\= \frac{26}{ 124} \\\\ = 0.209677 \\\\[/tex]

Calculating the percentage:

[tex]= 20.9677 \times 100\\\\=20.9677\% \approx 21\%[/tex]

Answer:

B

Step-by-step explanation:

Use pythagorean theorem

4^2+5^2=AC^2, AC= 6.4

7^2+9^2=CB^2, CB=11.4

Answer:

3 hours 30 minutes

Step-by-step explanation:

Jan :2 hours

her husband : 1 hour 30 minutes

2hr + 1 ½ hrs = 3 ½ hrs...that is 3 hours 30 minutes....?

128Answer:

128

Step-by-step explanation:

vì 4+4=8

8+8=16

16+16=32

32+32=64

64+64=128

The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.

Given values in the question are:

Total distance,

= 188 miles

Total gas used,

= 8

Now,

⇒ The rate of gas consumption will be:

= [tex]\frac{Total \ distance}{Total \ gas \ used}[/tex]

By putting the given values in the above formula, we get

= [tex]\frac{188}{8}[/tex]

= [tex]23.5 \ miles/gallon[/tex]

Thus the above is the appropriate solution.

Learn more about gas consumption here:

https://brainly.com/question/17321062

Answer:

6/25  or 24%

Step-by-step explanation:

Answer:

6/25, 0.24, or 24% chance

Step-by-step explanation:

Hi there!

We're given that:

⇒ There are 25 peanut candies in total

⇒ 6 out of the 25 candies are blue

To find the probability of randomly choosing a blue candy from the bowl, divide 6 by 25:

6/25 = 0.24 = 24%

I hope this helps!

Answer:

Amanda's box is in this case, the bigger one. Then subtract the Amanda's by Mary's. The Larger box is 70cm^3 larger then the smaller box.

Step-by-step explanation:

Amanda's box: 13.5*10*10= 1350cm^3

Mary's box: 20*8*8= 1280cm^3

1350-1280=70

The larger box is 70cm^3 larger then the smaller box.

If you have any questions regarding my answer tell me in the comments, i will come answer them. Have a good day.

Answer:

Sin X = 12 / 37

Step-by-step explanation:

Given a right angled triangle, we are to obtain the Sin of the angle X ;

Using trigonometry, the sine of the angle X , Sin A is defined as the ratio of the angle opposite X to the hypotenus of the right angle triangle.

In the right angle triangle :

Sin X = opposite / hypotenus

Opposite = 12 ; hypotenus = 37

Sin X = 12 / 37

Answer:

48 ÷ 60 = 4/5

Step-by-step explanation:

4/5 is the answer

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

We require the number of minutes in a day.

i hour = 60 minutes

24 hours = 24 × 60 = 1440 minutes ( 24 hours in 1 day )

Then

fraction = [tex]\frac{48}{1440}[/tex] ( divide numerator/ denominator by 12 )

            = [tex]\frac{4}{120}[/tex] ( divide numerator/ denominator by 4 )

            = [tex]\frac{1}{30}[/tex]

Answer:

1.94 oz

Step-by-step explanation:

x/97 = 200/10000

97*200 = 10,000x

19400 = 10,000x

1.94 oz

You can also do it this way:

200/10000 = 0.02

0.02 * 97 = 1.94

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

y = - [tex]\frac{4}{3}[/tex] x

Step-by-step explanation:

1). [tex]y_{1}[/tex] = [tex]m_{1}[/tex] [tex]x_{1}[/tex] + [tex]b_{1}[/tex]  

[tex]y_{2}[/tex] = [tex]m_{2}[/tex] [tex]x_{2}[/tex] + [tex]b_{2}[/tex]

[tex]y_{1}[/tex] ⊥ [tex]y_{2}[/tex]  if  [tex]m_{2}[/tex] = - [tex]\frac{1}{m_{1} }[/tex]

2). ( [tex]x_{3}[/tex] , [tex]y_{3}[/tex] )

y - [tex]y_{3}[/tex] = m( x - [tex]x_{3}[/tex] )

~~~~~~~~~~~~~~~~~~

y = [tex]\frac{3}{4}[/tex] x + 7

[tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex]

[tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex]

( 3, - 4 )

y - ( - 4) = - [tex]\frac{4}{3}[/tex] ( x - 3 )

y + 4 = - [tex]\frac{4}{3}[/tex] x + 4

y = - [tex]\frac{4}{3}[/tex] x

Step-by-step explanation:

Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:

[tex]\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right)[/tex] and [tex]\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right)[/tex]

a) [tex]12\:\text{eggs}×\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}[/tex]

b) 18 dozen cookies = 216 cookies

[tex]216\:\text{cookies}×\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}[/tex]

Answer:

y<=(-2x+4)

Step-by-step explanation:

The equation of line is y=-2x+4. For the region left of it, y<=(-2x+4)

Answer:

20% of students prefer to go to the aquarium

50% of teachers prefer to go to the aquarium

Step-by-step explanation:

1.

8 students prefer the aquarium out of 40 students.

Set up an equation:

Variable x = percentage of students

8/40 = x/100

Cross multiply:

8 × 100 = 40 × x

800 = 40x

20 = x

Divide:

20%

Check your work:

40 students × 20%

Convert percentage into decimal:

40 × 0.20

8

8 students prefered the aquarium so this is correct!

2.

5 teachers prefer the aquarium out of 10 teachers.

Set up an equation:

Variable x = percentage of teachers

5/10 = x/100

5 × 100 = 10 × x

500 = 10x

50 = x

50%

Check your work:

10 × 0.50

5

Correct!

Answer:

Step-by-step explanation:

59°

Answer:

128/3

Step-by-step explanation:

The sequence follow the rule (1/6)*(4)^(n-1). The 5th term will be (1/6)*(4)^4=128/3

Answer:

128/3

Step-by-step explanation:

1/6, 2/3, 8/3, . . .

1/6, 4/6, 16/6

We are multiplying by 4 each time

1/6 *4 = 4/6

4/6 * 4 = 16/6

This is a geometric sequence with the common ratio of 4

an = a1 (r)^(n-1)

an = 1/6 (4) ^(n-1)

Let n = 5

a5 = 1/6 (4)^(5-1)

a5 = 1/6 (4)^4

a5 = 1/6 * 256

a5 =128/3

Answer:

The correct answer is "learn an employers business"

Step-by-step explanation:

Supervising other workers isn't their job

Becoming physically fit wouldn't help them with that job

Building friendships with customers isn't part of the job

According to the video, this career offers a good opportunity to learn an employer's business. Therefore, the correct option is option B.

There are two definitions of a career. It's common to use the word "career" to describe a profession, occupation, trade, or vocation. The work you perform for a livelihood is defined by your job, which can range from occupations requiring substantial education and training to ones that can be performed using a high school certificate and then a desire to gain knowledge.

Work as a doctor, attorney, teacher, carpenter, veterinarian assistant, electrician, cashier, instructor, or hairstylist is an example of a career. According to the video, this career offers a good opportunity to learn an employer's business.

Therefore, the correct option is option B.

To know more about career, here:

https://brainly.com/question/30104104

#SPJ6

Answer:

Mathematical induction can be used to prove that an identity is valid for all integers n≥1. Here is a typical example of such an identity: 1+2+3+⋯+n=n(n+1)2. More generally, we can use mathematical induction to prove that a propositional function P(n) is true for all integers n≥1.

Step-by-step explanation:

I'd really appreciate a brainleast please:)

Answer:

i. ans in picture

ii. ans in picture

iii. ans in picture

iv. 19

v. 38

Step-by-step explanation:

i. working in picture

ii. working in picture

iii. working in picture

iv.

180-90=90

90=2x+7+45=2x+52

2x=90-52=38

x=19

v.

angle COD=3x+10

180-3x+10-2x

180+10=2x+3x

190=5x

x=38

Answer:

Step-by-step explanation:

Apply the following triangle laws:

The sum of the angles of a triangle will always be 180 degrees.

Answer:

I have no clue my bad bro.