Please help. The brainiest answer will be picked as well. The question is down below in a picture.

Answer:

The terms of the sequence are x=5 and a=2:

[tex] x + (x + a) + (x + 2a) = 21 [/tex]  →  [tex] 5 + (5 + 2) + (5 +2*2) = 21 [/tex]

[tex] x*(x + a)*(x + 2a) = 315 [/tex]  →  [tex] 5*(5 + 2)*(5 + 2*2) = 315 [/tex]

Step-by-step explanation:

We can find the terms of the following sequence:

[tex] x + (x + a) + (x + 2a) = 21 [/tex]

[tex] 3x + 3a = 21 [/tex]      

[tex] x + a = 7 [/tex]      (1)

The product of that sequence is:

[tex] x*(x + a)*(x + 2a) = 315 [/tex]    (2)

Solving equation (1) for x:

[tex] x = 7 - a [/tex]  (3)

And by entering (3) into (2):

[tex] (7 - a)*(7 - a + a)*(7 - a + 2a) = 315 [/tex]  

[tex] 7*(7^{2} - a^{2}) = 315 [/tex]  

[tex] 343 - 7a^{2} = 315 [/tex]    

[tex] a = 2 [/tex]  

Now, by entering "a" into equation (3):

[tex] x = 7 - 2 = 5 [/tex]  

Therefore, the terms of the sequence are x=5 and a=2.

I hope it helps you!

Answer:

-9g

Step-by-step explanation:

Move -9 to the left of g

I think this is right, sorry if it is wrong, have a great day

Answer:

b

Step-by-step explanation:

Answer:

C) ΔCDE similar ΔFGH

Step-by-step explanation:

Answer:

Step-by-step explanation:

If x is a positive number then y + x lies to the right of y, if x is a negative number then the location of y + x will be to the left, if x is zero then y and y + x are the same point

Answer:

b

Step-by-step explanation:

Answer:

(h+63)

Step-by-step explanation:

Given that,

Isabella has 63 hair bows.

Isabella's sister has h more hair bows than Isabella. It means,

Isabella's sister = h+63

h and 63 are added as Isabella's sister has h more hair bows than Isabella.

Hence, the expression would be (h+63).

Answer:

a=-2

Step-by-step explanation:

Combine common variables on both sides.

3a-7a-28=10a

-4a-28=10a

Add variables to other side

-28=14a

Divide each side by 14

a=-2

Step-by-step explanation:

hope it will helpful to you

440 bevause 154 is 35 percent of 440

The 154 mocha cupcakes represents a proportion of the total cupcakes sold in the bakery. The total number of cupcakes sold in the bakery on that day is 440.

Given that:

[tex]Mocha = 154[/tex]

From the question, we understand that the bakery sells other cupcakes too.

And Mocha only represents 35% of the total.

This means that:

[tex]Mocha = 35\% \times Total[/tex]

So, we have:

[tex]154 = 35\% \times Total[/tex]

Make Total the subject

[tex]Total = 154 \div 35\%[/tex]

[tex]Total = 440[/tex]

Hence, 440 cupcakes were sold on that day.

Read more about proportions at:

https://brainly.com/question/11654319

Answer:8

Step-by-step explanation:

Answer:

24?

Step-by-step explanation:

Answer:

trigonometry

Step-by-step explanation:

hope this helps lovely

Answer:

trigonometry

Step-by-step explanation:

Have a great day!

Answer:

Check pdf

Step-by-step explanation:

Answer:

4ft

Step-by-step explanation:

circumference of circle = π r^2

=> circumference = 50.25 ft

=> πr^2 = 50.25 ft

=> r^2 = 50.25/3.14 = 16 ft

=> r = √16

=> r = 4 ft

hope it helps

Answer:0.2

Step-by-step explanation:

Combine

√

3

and

√

75

into a single radical.

√

3

75

Cancel the common factor of

3

and

75

.

Tap for more steps...

√

1

25

Rewrite

√

1

25

as

√

1

√

25

.

√

1

√

25

Any root of

1

is

1

.

1

√

25

Simplify the denominator.

1

5

The result can be shown in multiple forms.

Exact Form:

1

5

Decimal Form:

0.2

Answer:

The answer is 8 - 4i

you collect the like terms

Answer:

X=26

Step-by-step explanation:

Answer:

X=26

Step-by-step explanation:

hope this helps

Answer:

454.68

Step-by-step explanation: so this is how u do it......

Step 1)  you need to turn the pursent into this kind of number ( 70% = 0.07)

Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)

Step 3)  424.93  is the sale price so 0.07 times 424.93 = ( 29.7451)

Step 4) 29.7451 is our tax price so ( tax + sale price )  29.7451 + 424.93 = 454.6751

Step 5) round to the nerest cent = 454.68

Answer:

24

Step-by-step explanation:

3 * 2 = 6 * 4 = 24

Answer: 48

Step-by-step explanation:

3 x 2^4 =3 x 16 = 48

Answer:

y=f(x)

Step-by-step explanation:

This means it falls under x axis

Q2. f(x) moves to the left

Q3. moves to the right

Answer:

4x + 8

-45 - 5x

7x - 21

Step-by-step explanation:

For the first one

4(x + 2)

for distributive property you multiply the number or symbol next to the outside of the parenthesis, by everything inside the parenthesis.

4(x+2)

4*x = 4x

4*2 = 8

So, this is 4x + 8

-5(9+x)

-5*9= -45

-5*x=-5x

So, this is -45 - 5x

7(x-3)

7*x= 7x

7*-3= -21

This will be 7x - 21

Hope this helps!!

-Ketifa

Answer:

$117.6

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 210

r = 8% = 0.08

t = 7

Work:

I = Prt

I = (210)(0.08)(7)

I = 117.6

Answer:

Step-by-step explanation:

So with 8% interest, Jim will have to pay 8% more each year. For the first year we need to multiply 210 with 1.08 to find the amount that Jim would have had to pay to his sister if he had gotten an 8% interest for 1 year. Every time the year increases we need to multiply the previous number with 1.08 because we are looking for the 8% increased value of the previous one, therefore our equation is:

P(t) = 210*(1.08)^t --> (t=time in years, P(t)=amount of money Jim need to pay back with respect to time)

Since Jim gets an 8% interest for 7 years we have to put in 7 for t.

P(7)=210*(1.08)^7

which is approximately $359.903

Answer:

5 is the answer

Step-by-step explanation:

2 4 6 8 10

1. 2 3 4 5

Juices

Answer:  $0.18

Step-by-step explanation:

Answer:

-3k + 10

Step-by-step explanation:

-3k-(-8)+2 = -3k + 8 + 2 = -3k +10

Answer:

-3k + 10

Step-by-step explanation:

-3k + 8 + 2 =

-3k + 10

Hope that helps!

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

Answer:

I think it is C) 480

Step-by-step explanation:

320÷2=160

160×3=480

Can I please have Brainliest?

There are 480 calories are in the 3-ounce size of the bar.

Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Green Frog convenience store supplies two types of protein bars.

And, One protein bar has 320 calories in the 2-ounce size.

Now,

For 1 ounce size, calories in One protein bar = 320 / 2

                                                                  = 160

Hence, We get;

For 3 ounce size, calories in One protein bar = 160 x 3

                                                                      = 480

Thus, There are 480 calories are in the 3-ounce size of the bar.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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