Becky created a number pattern. Her pattern began with 5, and the rule was “add 5.” Dion also created a number pattern. His pattern began with 10, and the rule was “add 10.”
Which statement is true?
a. Each term in Becky’s pattern is 5 more than the corresponding term in Dion’s pattern.

b. Each term in Dion’s pattern is 5 more than the corresponding term in Becky’s pattern.

c .Each term in Becky’s pattern is 2 times as many as the corresponding term in Dion’s pattern.

d .Each term in Dion’s pattern is 2 times as many as the corresponding term in Becky’s pattern.

Answer:

true

Step-by-step explanation:

3x − 4(2x − 5)

Distribute

3x - 8x +20

-5x +20

20 -5x

This is equal to 20 -5x

Answer:

The answer would be true.

Step-by-step explanation:

Hope this help and I took the test and got this correct! :)

Answer:

y = 3to6

Step-by-step explanation:

Answer:

3 ≤ y < 7

Step-by-step explanation:

≥ means greater than or equal to

≤ means less than or equal to

< means less than

> means greater than

Given y is greater than or equal to 3

y ≥ 3

y less than 7

y < 7

Joining both of them together

3 ≤ y < 7

Answer:

Ben

Step-by-step explanation:

25 goodies = 20 minutes

27 goodies = 24 minutes

Let's use ratio, divide both of them by their minute

25/20 = 20/20

27/24 = 24/24

1.25 goodies = 1 minute

1.12 goodies = 1 minute

1.25 is bigger than 1.12.

Answer:Ben

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Add 3 on both sides and subtract 6 on both sides.

This gives you -2x=12

Divide -2 on both sides

this gives you -6.

x=-6

[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]

Step By Step Explanation:

Step 1:

→[tex]4x - 3 = 6x + 9[/tex]

Step 2:

→[tex]4x - 6x = 9 + 3[/tex]

Step 3:

→[tex] - 2x = 12[/tex]

Step 4:

→[tex]x = \frac{12}{ - 2} [/tex]

Step 5:

→[tex]\green{x = - 6}[/tex]

verification:

Step 1:

⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]

Step 2:

⇝[tex] - 24 - 3 = - 36 + 9[/tex]

Step 3:

⇝[tex] - 27 = −27[/tex]

[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]

Answer:

936 miles in 13 hours.

Step-by-step explanation:

if you divide 792 by 11 you get 72, which is the unit rate. You multiply that by thirteen and it is the answer 936.

Answer:

936 miles

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

(-4)(-9)(-2)=

36(-2)=

-72

Answer:

-16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

16+(-32)= -16

Answer:

$250

Step-by-step explanation:

If they are making 100 burritos, you multiply $1.50 and 100 to get $150, and then $1.00 and 100 to get $100. Add $150 and $100 together to get $250, that is how much it cost to make the burritos. If they sold all 100 burritos, they would gain a profit of $550.

Answer:

f = 5g/n^3 - 5h/n63

Step-by-step explanation:

Step-by-step explanation:.

Answer:

A

Step-by-step explanation:

I took the test

Answer:

there are 20 questions on the exam

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]6a^{2} - 24 = 0\\6a^{2} - 24 + 24 = 0 + 24 \\6a^{2} = 24\\\frac{6a^{2}}{6} = \frac{24}{6} \\a^2 = 4\\a = \sqrt{4} \\a = +2, -2[/tex]

Answer:

x = 25, y = 28

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 22 and

a₄ = a₁ + 3d = 31 , that is

22 + 3d = 31 ( subtract 22 from both sides )

3d = 9 ( divide both sides by 3 )

d = 3

Thus

x = 22 + 3 = 25

y = 25 + 3 = 28

Answer:

13xy

Step-by-step explanation:

9xy+4xy=13xy

You only have one set of variables when there is two sets of variables then you can not add all variables together.

you cant do 13x + 5y because the answer wold stay 13x 5y

Answer:

cant read it :(

Step-by-step explanation:

Answer:

m = [tex]\frac{y-b}{x}[/tex]

Step-by-step explanation:

Given

y = mx + b ( subtract b from both sides )

y - b = mx ( isolate m by dividing both sides by x )

[tex]\frac{y-b}{x}[/tex] = m

Answer:

The ratio of triangles to squares is 2 to 4

There are two squares for every triangle.

There are three smiley faces for every triangle.

Step-by-step explanation:

The number of triangles, smiley and squares are shown in the diagram attached.

From the diagram, there are 6 smiley faces, 2 triangles and 4 squares.

A ratio compare two or more values, thereby showing how many times one number contains the other.

A) Correct. The ratio of triangles to squares = number of triangle / number of square = 2 / 4 = 2 to 4

B) Incorrect. The ratio of squares to smiley faces = number of square / number of smiley face = 4 / 6 = 4 to 6

C) Incorrect. The ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 6 to 2

D) Correct. Since the ratio of squares to triangles =  number of squares / number of triangle = 4 / 2 = 2 / 1 = 2 to 1, hence there are two squares for every triangle

E) Incorrect. Since the ratio of triangles to smiley faces =  number of triangle / number of smiley faces = 2 / 6 = 1 / 3 = 1 to 3, hence there is one triangle for every 3 smiley faces

F) Correct. Since the ratio of smiley faces to triangles =  number of smiley faces / number of triangles = 6 / 2 = 3 / 1 = 3 to 1, hence there is 3 smiley faces for every one triangle

Answer:

sum = (180)(20) = 3600

Step-by-step explanation:

First...

(n-2)180˚ = Sum Of Interior Angles or SOIA

So...

(22-2)180 = SOIA

Then...

20*180 = SOIA

Finally...

3600 = SOIA

Answer:

Let x be that number.

[tex] - 8 \div (x + 3)[/tex]

The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.

Answer: Can you include a picture please.

Step-by-step explanation:

Answer:

$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)

Total: $78.17

Answer:

$78.19

Step-by-step explanation:

To find the total after the sales tax is charged you have to do

$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986  round*

Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)

Now to finish you add $67.99 +$10.20 = $78.19

Answer:

I accidentally clicked I can’t click out

Step-by-step explanation:

Sorry

Answer:

14 minutes below or 6 minutes above

Step-by-step explanation:

Let's say Sophia's time was 10 minutes WORSE

4 minutes below average- 10 minutes= 14 minutes below average

Let's say Sophia's time was ten minutes BETTER

4 minutes below average + 10 minutes= 6 minutes above average.

Hope this helps!

14 minutes below the average

6 minutes above the average

=====================================================

Let A = average running time

Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.

Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.

We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.

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

Let's plug in J = A-4 and solve for S

|S-J| = 10

|S - ( J )| = 10

|S - (A-4)|

|S-A+4| = 10

S-A+4 = 10  or  S-A+4 = -10

S-A = 10-4  or  S-A = -10-4

S-A = 6  or  S-A = -14

S = A+6 or S = A-14

The equation S = A+6 shows Sophia is 6 minutes above the average

The equation S = A-14 shows Sophia is 14 minutes below the average

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

Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.

If A = 20, then Jacob's time is J = A-4 = 20-4 = 16

If the average running time is 20 minutes, then Jacob ran for 16 minutes.

If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)

If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)

This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.

Answer:

6...the length is 6

This is a horizontal line!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

1/4 +1 1/10_.25 + 1.20

Step-by-step explanation:

1/4 also known as a quarter, should easily be known as .25, and .20 should be equal to 1/10 since .20x10 equals 1. that one in the equation doesn't really make a difference. (it's kinda just there¯\_(ツ)_/¯) so technically you have your answer.

Answer:

$4

Step-by-step explanation:

If you remove the decimal from the cost and divide it by the number of text messages you get how much each individual message costs. (672 \ 168 = 4)

Answer:

146

Step-by-step explanation:

Since we know that this is a rhombus, we know that opposite angles must be equal to each other. This means that angle QTS is equal to angle QRS. Therefore angle QTS also equals 34.

Now, we also know that all the interior angles in a quadrilateral add up to 360. We can subtract 360-34-34=292.

Now we know that the remaining two angles S and Q need to add up to 292. We also know that they are equal because they are opposite angles. Therefore, we can solve the equation 292÷2=146. Each of these angles is 146. So the measure of angle S is 146.

The measure angle of S is 146 .

A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides. In a rhombus, the opposite sides are parallel and the opposite angles are equal. Also, all the sides of the rhombus are equal in length and the diagonals bisect each other at right angles. The rhombus is also known as a diamond.

By symmetry ;

This means that m∠QTS is equal to m∠QRS. Therefore ∠QTS is also equals 34.

We also know that The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.

Now we know that the remaining two angles S and Q need to add up to 292.

= 360 -34 -34= 292

We also know that they are equal because they are opposite angles.

Therefore, we can solve the equation,

[tex]\frac{sum of two opposite angle}{2}[/tex] = [tex]\frac{292}{2}[/tex] = 146

Each of these angles is 146.

So the measure of angle S is 146.

For the more information about properties of rhombus click the link given below.

https://brainly.com/question/4115340

Answer: When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

Step-by-step explanation:

Let  x= Total sales

For José, monthly salary = $3,500

Commission percentage =  8% =0.08

Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)

Monthly earnings= 3500 +0.08 x

For Maris, monthly salary = $3,900

Commission percentage =  6%

Monthly earnings= 3900 +0.06 x

When José's monthly earnings > Maris's monthly earnings

then, 3500 +0.08 x > 3900 +0.06 x

Subtract 3500 from both sides, we get

0.08 x > 400+0.06x

Subtract 0.06x from both sides, we get

0.02x>400

Divide both sides b 0.02

x> 20000

When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

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