What is the area of the shape below?

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:

$82

Step-by-step explanation:

make 25% into a decimal which equals .25, then do 328. x .25 which equals $82

Answer:

5x - 5

Step-by-step explanation:

Answer:

[tex]\bold{5x-5}[/tex]

Step-by-step explanation:

Hi there!

The Distributive property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

So, we take a number a, multiply it by b and c, and then add the products.

Now, let's solve the given math problem:

[tex]\bold{5(x-1)}[/tex]

[tex]\bold{5x-5}[/tex]

Hope it helps! Enjoy your day!

~Just a teen willing to help others

[tex]\bold{-Besties4Ever:-):-):-):-):-):-)}[/tex]

Answer:

Y=1.5x+1

Step-by-step explanation:

The new law and the rest to the right to be a part of this year and I have to say that I am not a fan of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that

Answer:

The answer is 8 - 4i

you collect the like terms

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:

5.86cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the circle

Area of rectangle = Length * Width

Area of rectangle = 3cm * 3cm

Area of rectangle = 9cm²

Area of the circle = πr²

Given radius r = 1cm

Area of the circle = 3.14(1)²

Area of the circle = 3.14cm²

Area of the shaded region = 9 - 3.14

Area of the shaded region = 5.86cm²

Answer:

5.86cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the circle

Area of rectangle = Length * Width

Area of rectangle = 3cm * 3cm

Area of rectangle = 9cm²

Area of the circle = πr²

Given radius r = 1cm

Area of the circle = 3.14(1)²

Area of the circle = 3.14cm²

Area of the shaded region = 9 - 3.14

Area of the shaded region = 5.86cm²

Answer:

b

Step-by-step explanation:

Answer:

8^6

Step-by-step explanation:

Answer:

262144 (8^6)

Step-by-step explanation:

8^(12-6) = 8^6 = 262144

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:

(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:

24?

Step-by-step explanation:

Answer:

y=27

Step-by-step explanation:

Hello There!

The shown angles are alternate exterior angles

Alternate exterior angles are congruent so

3y+53=7y-55

step 1 add 55 to each side

-55+55 cancels out

53+55=108

now we have

3y+108=7y

step 2 subtract 3y from each side

7y-3y=4y

now we have

4y=108

step 3 divide each side by 4

4/4y=y

108/4=27

we're left with y = 27

Answer:

y = 27

Step-by-step explanation:

The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.

7y - 55 = 3y + 53

4y = 108

y = 27

Answer:

x = 5

Step-by-step explanation:

Because the factor of the polynomial is x - 5, we can infer that the zero would be the solution of this equation: x - 5 = 0

Therefore, the zero is x = 5.

Answer:

LOOK BELOW!

Step-by-step explanation:

6#

6.  (-3, 0)

7. (-1, -2)

8. (-5, -3)

9.  (1, -1)

10.  (1, -2)

how did I get these answers? I used a app called math - way, you can take a photo of the problem youre tryna do an it solves it, yw! :)

[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]

6. (-3,0)

7. (-1,-2)

8. (-5,-3)

9. (1,-1)

10. (1,-2)

[tex]\\\\\\[/tex]

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

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

#SPJ3

Answer:

4 4/7 is the answer

Answer:

4 4/7

Step-by-step explanation:

(2 2/3)(1 5/7) = 4 4/7

Answer:

C) ΔCDE similar ΔFGH

Step-by-step explanation:

Answer:

0..........

Step-by-step explanation:

Answer:

11,340

Step-by-step explanation:

5% = 420 420 x 7 = 2940

2940 + 8400 = 11,340

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

Answer:

C. Your team plays 3 preseason games.

Step-by-step explanation:

In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer.  The variable x represents the number of weeks in the regular season.  Which statement is true?  

A. The regular season lasts 2 weeks.  

B. The preseason lasts 2 weeks.  

C. Your team plays 3 preseason games.  

D. Your team plays 3 regular season games each week.

Solution:

The equation for a linear function is given as:

y = mx + b;

where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.

Given that y = 2x + 3;

The slope (m) = 2 and the y intercept (b) = 3

This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.

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

Answer:

y = 10 is the true number sequence

Step-by-step explanation:

y + 6 = 16

y = 16 - 6

y = 10

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:8

Step-by-step explanation:

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

[tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]