the common diiference of an ap is 4 . the last term is 72 and the sum of all terms is 600. find the first term and the number of terms​

Answer:

x = 14 and y = 10

Step-by-step explanation:

TRANSLATING WORDS INTO EQUATIONS:

Let the two numbers be x and y  

"The sum of two numbers is 24" translate as x + y = 24  

"Their difference is 4" translates as x-y=4

Those two equations make up the system of linear equations

SOLVING BY ELIMINATION:

Adding the two equations, we get

x + y + x - y = 24 + 4

2x = 28

x = 28 / 2

x = 14

substituting that into x + y = 24 we get

14 + y = 24

y = 24 - 14

y = 10

hope it helps :)

Answer:

12

Step-by-step explanation:

A sequence is given and we need to find the term when it will become -24 . The given sequence is,

9 , 6 , 3 ,0 , . . . . .

Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .

⇒ T_n = a + (n-1)d

⇒ (-24) = 9 + (n-1)(-3)

⇒ -24-9 = (n-1)(-3)

⇒ (n-1) = -33/-3

⇒ n-1 = 11

⇒ n = 11 + 1

⇒ n = 12

Answer:

1.5 pounds

Step-by-step explanation:

24-16 is 8, so divide 8 by 16 and you get 1.5

The value of 24 ounces to pounds is 1.5 pounds.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 1 oz is equal to 1/16 pound. The value of 24 ounces to 16 pounds will be calculated as,

1 oz = 1/16 pounds

24 oz = 24 / 16

24 oz = 1.5 pounds

Hence, the value of 24 oz is 1.5 pounds.

To know more about an expression follow

https://brainly.com/question/25490005

#SPJ2

Answer:x=2

Step-by-step explanation:

Answer:

x  0  1  2  3  4

y  11  9 7  5  3

Step-by-step explanation:

basically you just plug in all of the x values shown in the table into the equation, to find the matching y values.

i hope this helps :)

Answer:

Y intercept form

Step-by-step explanation:

Step-by-step explanation:

According to the base of similarity, then

12÷6=8÷x

12x=48

=4

6+4=

10

Answer:

2.9

Step-by-step explanation:

if you need me to explain just comment!

I hope i was able to help!!!!!

Answer: 3m

Step-by-step explanation:

c = 2[tex]\pi[/tex]r

18.84 = 2 x 3.14r

18.84 = 6.28 r

r = 3

Answer:

We can write  

140 / 1 /8

in radical form as:  

8 √ 140

Step-by-step explanation:

Answer:1) 76m

2) 239 cm

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

that line equals 180 degrees so just subtract 45 to get the value of x

Answer:

r= 275

Step-by-step explanation:

Let's write an equation with the given information.

44= r% ×16

Rewrite the percentage as a fraction:

[tex]44 = \frac{r}{100} \times 16[/tex]

Divide both sides by 16:

[tex] \frac{r}{100} = 44 \div 16[/tex]

[tex] \frac{r}{100} = 2.75[/tex]

Multiply both sides by 100:

r= 2.75(100)

r= 275

Answer:

2,000 m (2 Liters) = 100 plants

Step-by-step explanation:

2,000 milliliters make up 2 liters.

200 liters are being poured.

2,000/200 = 10

10 plants are being watered each time.

200 m = 10 plants

400 m = 20 plants

600 m = 30 plants

800 m = 40 plants

1,000 m = 50 plants

1,200 m = 60 plants

1,400 m = 70 plants

1,600 m = 80 plants

1,800 m = 90 plants

2,000 m = 100 plants

Let me know if this helps!

Answer:

30ft

Step-by-step explanation:

1530ft2 divided by 51ft.

Answer:

105$

Step-by-step explanation:

We are told that she starts with 50$

We are also that after 30 years she earns 110% on interest

Given this information we need to find the value of the bond after the 30 years

To do so we take 110% of the initial value (50$) and add that to the initial value

So the answer = 110%(50) + 50

110%*50=55

55+50=105

So in 30 years the bond will be worth 105$

Answer:

y = 5/3x - 4

Step-by-step explanation:

(6, 6)

m = 5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 6)

y - 6 = 5/3x - 10

y = 5/3x - 10 + 6

y = 5/3x - 4

Answer:

Hello! Your answer is, 1 :A)28 AND 2:D)75 and CD AND 3:B)10 1/2

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Answer:

#5

#6

Consider letter position in names of figures:

#7

One angle marked and one angle congruent as vertical

Answer: B. 1/4

Step-by-step explanation: The probability of rolling an odd number is 3/6 since there are 3 odd numbers between 1 and 6 (1, 3, 5). The probability of flipping a coin and getting tails is 1/2 since you can either get heads or tails. With this knowledge, you must multiply these two probabilities to get the probability of getting an odd number AND tails; so, 3/6 x 1/2 = 3/12 = 1/4.

Answer: x:6

y:7

z:6

Step-by-step explanation:

Answer:

x = 5.25

y = 6

z = 5.25

Step-by-step explanation:

For x and z

x = z

3      x

---- = ----

4       7

Cross multiply: 21 = 4x

21/4 = x

x = 5.25

z = 5.25

For y

3       y

---- = ----

4       8

Cross multiply: 24 = 4y

24/4 = y

y = 6

Answer:

80 pages

Step-by-step explanation:

We can think of this as 80% of the book is 64 pages

.8x = 64

x=80

Answer:

m=2

Step-by-step explanation:

6m - 8 = 1/2(-4m + 16)

Distribute

6m -8 = -2m +8

Add 2m to each side

6m-8+2m = -2m +8+2m

8m -8 = 8

Add 8 to each side

8m-8+8 = 8+8

8m = 16

Divide each side by 8

8m/8 = 16/8

m=2

Answer:

The answer would be $178.50

Step-by-step explanation:

Options:

Who is right, and why?

a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.

b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.

c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Given

[tex]Goal = 3585[/tex]

[tex]Collected = 21\%[/tex]

[tex]Kurt= 10\% * 3600 * 2[/tex]

[tex]Maria = \frac{1}{5} * 3600[/tex]

Required [Missing from the question]

Who is correct and why?

First, we calculate the actual amount collected.

[tex]Actual = Collected * Goal[/tex]

[tex]Actual = 21\% * 3585[/tex]

[tex]Actual = 752.85[/tex]

[tex]Actual = 753[/tex] --- approximate

Next, determine the estimate (round 3585 to 3600 and 21% to 20%)

[tex]Estimate = 20\% * 3600[/tex]

[tex]Estimate = 720[/tex]

Next, calculate Kurt and Maria's estimates

[tex]Kurt= 10\% * 3600 * 2[/tex]

[tex]Kurt = 720[/tex]

[tex]Maria = \frac{1}{5} * 3600[/tex]

[tex]Maria = 720[/tex]

Hence, Kurt and Maria are correct because of option (d)

Answer:

d

Step-by-step explanation:

Answer:

12.6 cm²

Step-by-step explanation:

From the above question, the magnet is circular in shape

The area of a circle is given as:

= πr²

The area of the magnet = π × r²

Diameter = 4cm

r = Diameter/2 = 4cm/2 = 2cm

= π × (2cm)²

= 12.566370614cm²

Approximately = 12.6 cm²

The area of the magnet = 12.6cm²

Answer:

Step-by-step explanation:

Set 1

first of all we have to look at the negative numbers:

-99% = -0,99

-√80 = is almost 9

so :

-9,(9) ; -√80 ; -99%

then the positive numbers:

19% = 0,19

√9 = 3

1/9 = 0,11...

so

1/9 ; 19% ; √9

final answer:

-9,(9) ; -√80 ; -99% ; 1/9 ; 19%, √9

Set 2

descending order = from greatest to least

In this case we have to look at first at positive numbers

2/3 = 0,6

√23 = 4,...

20/3 = 6,...

23% = 0,23

so

20/3 ; √23 ; 2/3 ; 23%

negative numbers

-√34 = -5,...

so :

-4,(3) ; -√34

final answer:

20/3 ; √23 ; 2/3 ; 23% ; -4,(3) ; -√34

Answer:

3 one good luck with the question

Answer:

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