The perimeter of a rectangle is 76cm.
Its longest side has a length of 29cm.
State the length of the shortest side.

Answer:

1,420 grams per 100 baseballs

Step-by-step explanation:

Set up an equation:

Variable x = grams per 100 baseballs

1/14.2 = 100/x

Cross multiply

1 × x = 14.2 × 100

1x = 1420

x = 1420

The rate of change is the slope. The slope is the number in front of the x

Function 1 rate of change is -1/2

Function 2 rate of change is -3/4

The greater rate of change would be the steepest slope.

Function 2 has the greater rate of change

See the attached picture.

Answer:

S₁₅ = 645

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Using the nth term formula [tex]a_{n}[/tex] = 5n + 3 , then

a₁ = 5(1) + 3 = 5 + 3 = 8

a₂ = 5(2) + 3 = 10 + 3 = 13 , then

d = a₂ - a₁ = 13 - 8 = 5

Thus

S₁₅ = [tex]\frac{15}{2}[/tex] [ (2 × 8) + (14 × 5) ]

     = 7.5( 16 + 70)

     = 7.5 × 86

     = 645

Answer:

1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]

2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]

Step-by-step explanation:

x = 36

Step-by-step explanation:

The angles 4x and x are supplementary, meaning they add up to 180; therefore we have

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

dividing both sides by 5 gives

[tex]x = 36[/tex]

the measure of angle x is 36 and that of 4x is 4 * 36 = 144

The angle opposite to 4x also measures 144 and the one opposite to x is 36.

Answer:

x° + 4x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

Answer: $15

Step-by-step explanation:

Jasmine needs 300 centimeters

$5 each meter

The first step you need to do is convert 300 centimeters to meters, because it’s $5 for each meter.

(You can use the King Henry Chart to help you)

So, 1 centimeter is 1/100 meter

How much is 300 centimeters in meters?

300x1/100

= 300/100

=3

300 cm= 3m

Now, there is $5 for each meter.

How much does it cost for 3 meters?

= 5x3

= $15

It will cost her $15

Answer:

y<_19x-11

Step-by-step explanation:

<_ it means less than and equal too hope it helps

Answer:

down here :)

Step-by-step explanation:

Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.

Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.

Answer:

-2b(a) - a^2 -2b^2

Step-by-step explanation:

Just use the 'foil' method, meaning that you multiply the first number of one part (a), to the first and second to the next part (2b, -a)

Then, multiply the second number of that part (-b), to the first and to the next part (2b, -a)

You would get: -2b(a) - a^2 -2b^2

Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,

(a-b) × (2b-a)

= a(2b-a) -b(2b-a)

= (a × 2b) - (a × a) - (b × 2b) + (b × a)

= 2ab - a² - 2b² + ab

=  -a² -2b² + 3ab

= 3ab -a² -2b²

Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Answer:

min f(x) = 3.95  (for x= 2.5)

Step-by-step explanation:

vertex (x) = 1/0,4 = 2,5

vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95

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

Explanation:

We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus

x^2 - 9 = 0

x^2 = 9

x = sqrt(9) or x = -sqrt(9)

x = 3 or x = -3

To check these answers, you replace x with those values we found. I'll show you how to check x = 3

x^2 - 9 = 0

(3)^2 - 9 = 0

9 - 9 = 0

0 = 0

So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.

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

Another method you could do is to use the difference of squares rule

x^2 - 9 = 0

x^2 - 3^2 = 0

(x - 3)(x + 3) = 0

Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x

x-3 = 0 or x+3 = 0

x = 3 or x = -3

We end up with the same solution set.

Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.

Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

Answer:

D.

tangent = opp over adj

Step-by-step explanation:

Answer:

inside the circle

Step-by-step explanation:

Khan Academy

Answer:

you have to round down because if you round up she wouldn't have enough money. And you can't buy half a book.

Step-by-step explanation:

Answer:

Step-by-step explanation:

23+87+98=208

2.08+1=3.08

3.08-----> 308p

Answer:

2.575844

Step-by-step explanation:

This is a simple change of temp problem, from 539K to -62C but to start you have to change the C to K, which is simply adding 273 to the -62 so 211K.

Now you take P1/T1 = P2/T2 so,

6.58 = x

539 = 211

now cross multiply and divide, 211 x 6.58 then divide by 539.

this will give you your answer

***BTW DONT CLICK THE LINK ON THE ANSWER BELOW OR ABOVE THAT LEADS TO SOME MALWARE***

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

1/5

Step-by-step explanation:

I have done this sir

Lee laaa

Answer:

1/5

Step-by-step explanation:

5/25 = ?

well so

5 x 5 = 25 so that means that there is 5 parts for each 1 whole

5/25 = 1/5

Answer:

3 grey and 1 red

Step-by-step explanation:

5 x 3 = 15

15 + 7 = 22

Answer:

what r u even saying

Step-by-step explanation:

Answer: 70

Step-by-step explanation:

do 21*3 which would be 90% but the actual number would be 63. but there is still 10% left and you are given and number for 30% so divide 21 by 3 which you get 7 so 63+7=70

Answer:

[tex]\boxed {\boxed {\sf 87 \ degrees}}[/tex]

Step-by-step explanation:

The angles in a triangle must add to 180 degrees.

We are given three angles: 2x+6, x, and 3x. Their sum must be 180, so we can create an equation.

[tex]2x+6+x+3x=180[/tex]

Combine like terms (all terms with an x) on the left side.

[tex](2x+x+3x)+6=180[/tex]

[tex]6x+6=180[/tex]

Now solve for x by isolating the variable.

6 is being added and the inverse of addition is subtraction. Subtract 6 from both sides.

[tex]6x+6-6=180-6\\6x=174\\[/tex]

x is being multiplied by 6. The inverse of multiplication is division. Divide both sides by 6.

[tex]6x/6=174/6 \\x=29[/tex]

Substitute 29 for x in the angle measures.

The largest angle is 87 degrees.

Answer:

$57

Step-by-step explanation:

→ Do 20% of $80

( 20 × 80 ) ÷ 100 = 16

→ Add 5 to the previous answer

5 + 16 = 21

→ Add 2 to 21

2 + 21 = 23

→ Minus 23 from the total price

80 - 23 = $57

Answer:

5x

Step-by-step explanation:

Answer:

20-24

Step-by-step explanation:

you can see that when you find the middle of the total data the data set left is in the 20-24 category

hope this helps! :)