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Answer:

L≤30ft

Step-by-step explanation:

The area of the garden A = Length(L)*Width(W)

If Zack wants his rectangular garden to be 8 feet longer than it is wide, then

L = 8+W

Also, if he wants the area to be less than or equal to 660 ft², the A ≤ 660

LW≤660 ........1

(8+W)W ≤ 660

W²+8W-660≤0

W²+30W-22W-660≤0

W(W+30)-22(W+30)≤0

(W-22)(W+30)≤0

W-22≤0

W≤22 (neglecting the positive value)

Substituting W = 22 into equation 1

22L≤660

L≤660/22

L≤30

Hence the possible values for the length of his garden in feet are values less than and equal to 30 feet.

Answer:

The correct answer is A 8 < x ≤ 30

Step-by-step explanation:

Good luck!!

Step-by-step explanation:

[tex]f(x) = 30 + 0.08205x[/tex]

that is the function you are looking for.

first, we know that it is a fixed set up cost and charge for individual paper

Answer:

a = 5.5, d = 11/3

Step-by-step explanation:

An arithmetic progression is a sequence of number such that the difference between consecutive numbers is a constant. It is given by:

[tex]a_n=a+(n-1)d\\a_n \ is\ the \ nth\ term, d\ is\ the\ common\ difference\ and\ n \ is\ the \ number\ of\ terms[/tex]

The sum of fifth and sixth terms is 44

Therefore:

a + 4d + a + 5d = 44

2a + 9d = 44                       (1)

The sum of the first n terms is:

[tex]S=\frac{n}{2} (2a+(n-1)d)\\Therefore\ the\ sum\ of\ the\ first\ 18\ term\ is:\\\\S=\frac{18}{2} (2a+(18-1)d) = 9(2a+17d)=18a+153d\\\\The\ sum\ of\ the\ first\ 10\ term\ is:\\\\S=\frac{10}{2} (2a+(10-1)d) = 5(2a+9d)=10a+45d[/tex]

Since the sum of the first eighteen terms is thrice the sum of the first ten terms:

18a + 153d = 3(10a + 45d)

18 a + 153d = 30a + 135d

18a  - 30a + 153d - 135d = 0

-12a + 18d = 0                    (2)

Multiply equation 1 by 6 and add to equation 2:

72d = 264

d = 11/3

Putting d = 11/3 in eqn 2

-12a + 18(11/3) = 0

-12a + 66 = 0

12a = 66

a = 5.5

Answer:

D

Step-by-step explanation:

Well the total angle is of measure 8x+2 and

the bisected angle is of 5x-3 so that means

(8x+16)/2=5x-3

4x+8=5x-3

x=11°

so 5(11)-3=52° this is because the bisected angles are the same

BED=REB

Answer:x= 45°

Step-by-step explanation:

The value of angle LKN is 75°becausw the theorem vertically oposite angles

Then the value of angle LPN is 45° because figure LKNP is a rectangle so the sum of the angles should be 360°so 120°+120°+75°+angle LPN is 360°so the value of angle LPN is 45°

The value of x is also 45° because of vertically oposite angles theorem

This question is not correctly written

Complete Question

Jada is making lasagna and pizzas for a large party. Her lasagna recipe calls for 1 1/4 cups of tomato paste, and her pizza recipe uses 1/2 cup of tomato paste per pizza. She will double her lasagna recipe and make 5 pizzas. Write and evaluate an expression for how many 3/4- cup cans of tomato paste she will need in all.

Answer:

The evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

Step-by-step explanation:

Step 1

From the question, we are told that:

1 single lasgna recipe uses: 1 1/4 cups of tomato paste = 5/4 cups

If she doubles her recipe, the number of cups of tomato paste =

2 × 5/4 cups of tomato paste

= 10/ 4 = 5/2 cups of tomato pastes

Step 2

From the question, we are told that:

1 Pizza recipe = 1/2 cup of tomato pastes

5 Pizza =

5 × 1/2 cup of tomato paste

= 5/2 cups of tomato paste

Steps 3

The total number of cups of tomato paste Jada will use in making double lasagna and 5 pizzas is calculated as

= 5/2 + 5/2

= (5 + 5)/ 2

= 10/2

= 5 cups.

Step 4

We are asked to evaluate how many 3/4 -cup cans of tomato she need in all.

This means we should find how many 3/4 - cup cans can be found in the total number of cups of tomato paste that Jada used.

Total number of cups that Jada used = 5 cups of tomato paste

The number of 3/4-cup cans in 5 cups is calculated as:

5 ÷ (3/4)

= 5 × 4/3

= 20/3

Therefore, the evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

Answer:

  x = -2

Step-by-step explanation:

Eliminate parentheses and collect terms.

  1 +8x +5 -4x = 2(x -3) -2(x -2) . . . . . given

  6 +4x = 2x -6 -2x +4

  6 + 4x = -2

  4x = -8 . . . . . subtract 6

  x = -2 . . . . . . divide by 4

Answer:

the value would be 49

Answer:

[tex]2x^{2} + 3y^{2} -17 \\x=3 ; y=4\\\\2*2^{2}+ 3*4^{2}-17\\8+48 -17\\=39[/tex]

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Answer:

P=21

Step-by-step explanation:

The solution to the equation P - 18 = 3 for P is P = 21

From the question, we have the following parameters that can be used in our computation:

P - 18 = 3

Add 18 to both sides of the equation

so, we have the following representation

18 + P - 18 = 3 + 18

Evaluate the like terms on the right hand side

This gives

18 + P - 18 = 21

Evaluate the like terms on the left hand side

This gives

P = 21

Hence. the solution is 21

Read more about equations at

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Answer:

Step-by-step explanation:

[tex] \mathsf{given}[/tex]

[tex] \mathsf{hypotenuse(h) = 25}[/tex]

[tex] \sf{perpendicular (p) = 7}[/tex]

[tex] \sf{base(b) = }[/tex]?

Now, Using Pythagoras theorem

[tex] \sf{{h}^{2} = {p}^{2} + {b}^{2} }[/tex]

plug the values

⇒[tex] \sf{ {25}^{2} = {7}^{2} + {b}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{625 = 49 + {b}^{2} }[/tex]

Swap the sides of the equation

⇒[tex] \sf{49 + {b}^{2} = 625}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{ {b}^{2} = 625 - 49}[/tex]

Calculate the difference

⇒[tex] \sf{ {b}^{2} = 576}[/tex]

Squaring on both sides

⇒[tex] \sf{b = 24}[/tex]

Hope I helped!

Best regards!

Answer:

30+31+32 =93. Smallest is 30

Answer:

31

Step-by-step explanation:

Let the three unknown numbers be x+x+x

[tex]x+x+x =93\\3x = 93[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{93}{3} \\\\x = 31\\\\[/tex]

The numbers are 31 , 33,35

Answer:

Height of cone (h) = 14.8 in (Approx)

Step-by-step explanation:

Given:

Radius of cone (r) = 6 in

Slant height (l) = 16 in

Find:

Height of cone (h) = ?

Computation:

Height of cone (h) = √ l² - r²

Height of cone (h) = √ 16² - 6²

Height of cone (h) = √ 256 - 36

Height of cone (h) = √220

Height of cone (h) = 14.832

Height of cone (h) = 14.8 in (Approx)

Answer:

coefficient

explanation:

i just know the answer

Answer:

The formula says that the sum of the first n terms of our arithmetic sequence is equal to n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Adult tickets = x

Child tickets = 3(Adult tickets) = 3x

The cost of child admission is $5.50, and the cost of adult admission is $8.80.  Multiply the cost of admission by the variables and set equal to the total sales.

8.8(x) + 5.5(3x) = 663.6

8.8x + 16.5x = 663.6

25.3x = 663.6

x = 26

Child tickets = 3x

Child tickets = 3(26)

Child tickets = 78

78 child tickets were sold that day.

Answer:

What type of answer is it suppose to be? Essay, true or false, multiple answer?

Step-by-step explanation:

Step-by-step explanation:

Area of a trapezium = SOPS/2 × ph

Sops is the sum of 4+10 = 14

14/2 is 7. 7×4 = 28

A = 28cm²

Area = L×W

10×6= 60cm²

Answer:

its -2

Step-by-step explanation:

The value of k in equation k/4 + 3 = 14 is 44 and in the other equation 4k + 3 = 14 it will be 11/4.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

We have given equation as

k/4 + 3 = 14

subtract by 3 both sides

k/4 + 3 -3 = 14 -3

k/4 = 11

On cross-multiplication, the equation becomes

k = 11(4)

k = 44

similarly,

4k + 3 = 14

subtract by 3 both sides

4k +3 - 3 = 14 - 3

4k = 11

On cross-multiplication, the equation becomes

k = 11/4

Thus, the value of k in both the equation is 44 and 11/4.

Learn more about linear equations;

https://brainly.com/question/16725192

Answer:

The square root of 85 (9.219544457 or 9)

Step-by-step explanation:

I got it correct on Khan Academy.

Hope this helps! :)

Answer:

Option B is the correct option.

Step-by-step explanation:

Given,

Diameter ( d ) = 7 cm

Radius is just half of diameter.

Radius ( r ) = 7 / 2 = 3.5 cm

Height ( h ) = 6 cm

Now, let's find the volume:

Volume of cylinder : [tex] \sf{\pi \: {r}^{2} h}[/tex]

plug the values

⇒[tex] \sf{ \frac{22}{7} \times {3.5}^{2} \times 6}[/tex]

Evaluate the power

⇒[tex] \sf{ \frac{22}{7} \times 12.25 \times 6}[/tex]

Calculate

⇒[tex] \sf{231 \: {cm}^{ 3} }[/tex]

Hope I helped!

Best regards!!

Answer:

The answer is 231 cm^3

Step-by-step explanation:

This is a volume question so we will bring out the question comment first:

Diameter= 7 cm

Height =6 cm

We have to change the diameter to radius so we will do: the diameter which is 7 divided by two which will be 3.5.

We can now start proper.

Formula of volume=pile r square h

22/7 or 3.14 times the radius raised to power 2 times the height=

22/7 x 3.5^2 x 6=

22/7 x 12.25 x 6=

231 cm³

Hope it helps.

Answer:

P (greater than 3) = 1/2

Step-by-step explanation:

A standard number cube has 6 sides, numbered 1 through 6.

We want to find the probability of rolling a number greater than 3. To find this probability, create a fraction. The numerator is the amount of numbers greater than 3 and the denominator is the total amount of numbers.

P(greater than 3)= numbers greater than 3/ total numbers

There are 3 numbers that are greater than 3 (4, 5 and 6).

There are 6 total numbers (1, 2, 3, 4, 5, and 6)

P (greater than 3) = 3/6

This fraction can be simplified. Both the numerator and denominator can be divided by 3.

P (greater than 3) = (3/3) / (6/3)

P (greater than 3)= 1/ (6/3)

P(greater than 3) = 1/2

The probability of rolling a number greater than 3 is 1/2.

Answer:

T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Hence, T = 4c + 4t + 3s expression show the total number of furniture legs in aisle 2.

Hope it helped u if yes mark me BRAINLIEST! :)

Tysm!

Also sorry for late reply... :(

Answer:

C=6π=18.84 ( if π=3.14)

Step-by-step explanation:

distance around the edge of the pond means the circumference of the circle=

C=2πr

C=2π(3)

C=6π=18.84 ( if π=3.14)

The approximate distance around the edge of the pond is 18.84 feet.

Given that, a circular pond has a radius of 3 feet.

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

We know that, the circumference of a circle is 2πr.

Now, 2×3.14×3

= 18.84 feet

Hence, the approximate distance around the edge of the pond is 18.84 feet.

Learn more about the circumference here:

https://brainly.com/question/28757341.

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Answer:

1) 16 - 6 × (44 + 51 ) +76 -160

16 - 6 × 95 + 76 - 160

16 - 570 + 76 - 160

16 - 494 - 160

-638

2) 44 + 70 ÷ 2 × (49 + 51) × 2 × 0 + 1

44 + 70 ÷ 2 × 100 × 2 × 0 + 1

44 + 35 × 100 × 2 × 0 + 1

44 + 0 + 1

45

3) 4 + 20 × 7 - 66 × (44 + 51) × 0 + 4

4 + 20 × 7 - 66 × 95 × 0 + 4

4 + 140 - 6270 × 0 + 4

4 + 140 - 0 + 4

4 + 140 + 4

148

5) 69445 ÷ 70

992.0714

992.1

Step-by-step explanation:

Answer:

W PM^2 − WP(M−S)^2=T

Step-by-step explanation:

this is what mathaway said

Answer:

3 steps per second.

Step-by-step explanation:

3 steps per hour are way too slow.

30 steps per minute are too slow as well, that's half a step per second.

30 steps per second, is too fast, until your the Flash or something.

Answer:

  22

Step-by-step explanation:

If there are n children, the number of candies in the first distribution is ...

  3n +1

If the same number of candies is distributed to the same n children, then the second distribution tells us ...

  2n +8 = 3n +1

  7 = n . . . . . . . . . subtract 2n+1. This is the number of children.

The number of candies is ...

  3(7) +1 = 22

There were 22 candies in total.

Answer:

22

Step-by-step explanation:

0.2829

I think it would be thousandths I'm pretty sure :)