Hey, I need help with the questions attached. I need it in 20 minutes, it is last minute homework. Thank you very much.

Hey, I Need Help With The Questions Attached. I Need It In 20 Minutes, It Is Last Minute Homework. Thank
Hey, I Need Help With The Questions Attached. I Need It In 20 Minutes, It Is Last Minute Homework. Thank

Answers

Answer 1

Answer:

1)

90g strawberry jelly

6 sponge fingers

315ml custard

135g tinned fruit

2) 260 cm²

Step-by-step explanation:

1) 120/4 × 3

90g strawberry jelly

8/4 × 3

6 sponge fingers

420/4 × 3

315ml custard

180/4 × 3

135g tinned fruit

2) area = base × height

= 20 × 13

= 260 cm²

Answer 2

Answers and Step-by-step explanations:

1. Let's find the amount of each ingredient we need for 1 person, and then multiply that by 3 later.

strawberry jelly: we have 120 grams for 4 people, so for 1 person, we need 120/4 = 30 grams

sponge fingers: we have 8 of these for 4 people, so for 1 person, we need 8/4 = 2 sponge fingers

custard: we have 420 mL for 4 people, so for 1 person, we need 420/4 = 105 mL

tinned fruit: we have 180 grams for 4 people, so for 1 person, we need 180/4 = 45 grams

Now, multiply each of these by 3 to find the amount needed for 3 people:

strawberry jelly: 30 grams * 3 = 90 grams

sponge fingers: 2 sponge fingers * 3 = 6 sponge fingers

custard: 105 mL * 3 = 315 mL

tinned fruit: 45 grams * 3 = 135 grams

2. The area of a parallelogram is calculated by the formula: A = Bh, where B is the base length (usually a side length) and h is the height perpendicular to the base. Here, we see that have two potential base lengths: 20 and 15. However, looking at the height, it's only perpendicular to the base with length 20, so we know that B = 20 and h = 13.

Plugging these into the formula, we get: A = 20 * 13 = 260 cm squared.

Hope this helps!


Related Questions

Halla la media aritmética para las siguientes situaciones: i. Para poder clasificar a las finales de Jokie, el equipo debe tener un promedio de goles mayor a 20 puntos. Los siguientes son los puntajes obtenidos: 25, 12, 15, 23, 24, 39, 13, 31, 19, 16. ¿Clasificaron a finales? AYUDENME

Answers

Answer:

The team qualified for the finals.

Step-by-step explanation:

The question is:

Find the arithmetic mean for the following situations: i. In order to qualify for the Jokie Finals, the team must have a goal average greater than 20 points. The following are the scores obtained: 25, 12, 15, 23, 24, 39, 13, 31, 19, 16. Did they qualify for the finals? HELP ME

The average goal the team must have to win the Jokie finals is more than 20 points.

The goals obtained by the team are:

X = {25, 12, 15, 23, 24, 39, 13, 31, 19, 16}

The arithmetic mean is the average value of a data set. The formula to compute the arithmetic mean is:

[tex]\bar X=\frac{1}{n}\sum X_{i}[/tex]

Compute the arithmetic mean of the goals scored by the players as follows:

[tex]\bar X=\frac{1}{n}\sum X_{i}[/tex]

    [tex]=\frac{1}{10}\times (25+12+15+23+24+39+13+31+19+16)[/tex]

    [tex]=\frac{1}{10}\times 217\\[/tex]

    [tex]=21.7[/tex]

The arithmetic mean of the goals scored by the players is 21.7 points.

The average score is greater than 20 points.

Thus, the team qualified for the finals.

whats 11/12 of a full rotation?

Answers

Pls mark Brainliest.

Answer:

330°

Step-by-step explanation:

A full rotation is 360°. Saying 11/12 of a full rotation is equivalent to saying 11/12 * 360°, which equals 330°.

We have that for the Question "whats 11/12 of a full rotation?" it can be said that 11/12 of a full rotation is

[tex]X=330 \textdegree[/tex]

From the question we are told

whats 11/12 of a full rotation?

Generally the equation for the Statement   is mathematically given as

[tex]x=\frac{11}{12}[/tex]

Where

360° signifies full rotation

Therefore

11/12 of a full rotation is

[tex]\frac{11}{12}*360[/tex]

[tex]X=330 \textdegree[/tex]

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Please help me with these Square Root problems. Part 2. Please Show and check the work.
[tex]5. \sqrt{x+4} = 3 - \sqrt{x} \\\\6. \sqrt{x+4} =3 + \sqrt{x} \\\\7. \sqrt{x+ 3} = \sqrt{5x+6} - 3\\\\8. \sqrt{2x+1} = x - 1[/tex]

Answers

Answer:

5. 25/36

6. 25/36

7. -3/4 or 6

8. 0 or 4

Step-by-step explanation:

5. Square both sides: x + 4 = 9 - 6[tex]\sqrt{x}[/tex] + x

Subtract x from both sides and subtract 9 from both sides:

-5 = -6[tex]\sqrt{x}[/tex]

Square both sides again: 25 = 36x

Divide both sides by 36: x = 25/36

6. Square both sides: x + 4 = 9 + 6[tex]\sqrt{x}[/tex] + x

Subtract x and 9 from both sides: -5 = 6[tex]\sqrt{x}[/tex]

Square both sides: 25 = 36x

Divide both sides by 36: x = 25/36

7. Square both sides: x + 3 = 5x + 6 - 6[tex]\sqrt{5x+6}[/tex] + 9

Add 6[tex]\sqrt{5x+6}[/tex] to both sides and isolate it: 6[tex]\sqrt{5x+6}[/tex] = 4x + 12

Divide both sides by 2 and then square both sides again:

3[tex]\sqrt{5x+6}[/tex] = 2x + 6

9 * (5x + 6) = 4x^2 + 24x + 36

45x + 54 = 4x^2 + 24x + 36

4x^2 - 21x - 18 = 0

Factorize: (4x + 3)(x - 6) = 0  ⇒  x = -3/4 or x = 6

8. Square both sides: 2x + 1 = x^2 - 2x + 1

Move all the terms to one side and combine like terms: x^2 - 4x = 0

Factorize: x(x - 4) = 0  ⇒  x = 0 or x = 4

Hope this helps!

Answer:

5. x = 25/36

6. No real solutions

7. x = 6

8. x = 4

Step-by-step explanation:

5. sqrt(x + 4) = 3 - sqrt(x)

Square both sides

x + 4 = 9 - 6sqrt(x) + x

6sqrt(x) = 5

sqrt(x) = 5/6

x = 25/36

6. sqrt(x + 4) = 3 + sqr(x)

x + 4 = 9 + 6sqrt(x) + x

6sqrt(x) = -5

sqrt(x) = -5/6

Not possible. A + square root can not be negative

7. sqrt(x + 3) + 3 = sqrt(5x + 6)

Square both sides

x + 3 + 6sqrt(x + 3) + 9 = 5x + 6

6sqrt(x + 3) = 4x - 6

3sqrt(x + 3) = 2x - 3

Square both sides

9(x + 3) = 4x² - 12x + 9

4x² - 21x - 18 = 0

Using quadratic formula:

x = [21 +/- sqrt(21² - 4(4)(-18)]/(2×4)

x = [21 +/- 27]/8

x = 6, -¾

x = -¾ is rejected because it doesn't satisfy the initial equation

8. sqrt(2x + 1) = x - 1

2x + 1 = (x - 1)²

2x + 1 = x² - 2x + 1

x² - 4x = 0

x(x - 4) = 0

x = 0, 4

0 is rejected because it doesn't satisfy the initial equation

A yearbook company was investigating whether there is a significant difference between two states in the percents of high school students who order yearbooks. From a random sample of 150 students selected from one state, 70 had ordered a yearbook. From a random sample of 100 students selected from the other state, 65 had ordered a yearbook. Which of the following is the most appropriate method for analyzing the results?A. A one-sample zz-test for a sample proportionB. A one-sample zz-test for a population proportionC. A two-sample zz-test for a difference in sample proportionsD. A two-sample zz-test for a difference in population proportionsE. A two-sample zz-test for a population proportion

Answers

Answer:

D. A two-sample z-test for a difference in population proportions

Step-by-step explanation:

There are two samples, and we want to test for the difference between the proportions of two different populations.

find the value of sin(θ) for an angle θ in standard position with a terminal ray that passes through the point (-5, -12)

Answers

Answer:

c. -12/13

Step-by-step explanation:

it will be the y-coordinate divided by the distance from the origin, or (-12) / [tex]\sqrt{5^2+12^2}[/tex] = -12/13

Answer:

C. -12/13

Step-by-step explanation:

(-5,-12) is in the third quadrant

So sin would be negative

Hypotenuse = sqrt(5² + 12²)

sqrt(169)

13

sin(theta) = -12/13

Determine if each equation is a linear equation.
[Linear equation / Not a linear equation]
1) [tex]5x_1 + x_2 - 7x_3 = 4[/tex]
2) [tex]5x_1 + 4.6x_2 + 12x_3 = -5[/tex]
3) [tex]3x_1 - x_3 = -5x_2 + 7[/tex]
4) [tex]3x_1x_2 + x_3 = 5[/tex]
5) [tex]4x_1^3 + x_2 = 5[/tex]
6) [tex]6x_1 - 4x_2 + x_3 = 0[/tex]

Answers

Answer:

Linear-1,2,3,6

Nin-Linear-4,5

Step-by-step explanation:

A linear equation is an equation in which the highest power of the  variable is 1.

Out of the given equations, the following are linear.

1) [tex]5x_1 + x_2 - 7x_3 = 4[/tex]

2) [tex]5x_1 + 4.6x_2 + 12x_3 = -5[/tex]

3) [tex]3x_1 - x_3 = -5x_2 + 7[/tex]

6) [tex]6x_1 - 4x_2 + x_3 = 0[/tex]

These equations on the other hand are nonlinear.

4) [tex]3x_1x_2 + x_3 = 5[/tex]

5) [tex]4x_1^3 + x_2 = 5[/tex]

No 4 contains a term which is the product of two variables therefore it is not linear.

No 5 contains a term whose highest power is 3. Such an equation is a Cubic Equation.

What is the domain of the function y=sqrt x+4

Answers

Answer:

domain of y = sqrt (x+4) is [-4, +inf)

Step-by-step explanation:

[-4, +inf), -4 is included because sqrt(-4 + 4) is defined but is undefined at the points from (-inf, -5].

what are 3 equivalent ratios to 3/4?

Answers

Answer:

6/8, 9/12, 12/16

Step-by-step explanation:

Multiply the numerator and denominator by the same amount to maintain the same ration.

[tex]\frac{3}{4} =\frac{6}{8} = \frac{9}{12} =\frac{12}{16}[/tex]

Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?

Answers

Answer:

The answer to your question is  y = 4x + 2

Step-by-step explanation:

Data

slope = m = 4

Point = (1, 6)

Process

1.- Write the equation of the line in the point slope form.

           y - y1 = m(x - x1)

2.- Identify the values of x1 and y1

           x1 = 1  y1 = 6

3.- Substitution

          y - 6 = 4(x - 1)

4.- Simplification

         y - 6 = 4x - 4

5.- Solve for y

         y = 4x - 4 + 6

6.- Result

       y = 4x + 2

             

Connor went to a carnival with 22.50$. He bought a hot dog and a drink for $3.75 and he wanted to spend the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he can buy

Answers

Answer:

15

Step-by-step explanation:

22.50-3.75=18.75

18.75/1.25=15

BRAINLIEST WOULD BE APPERCIATED

The maximum number of ride tickets that he can buy is; 15

Division:

Connor has 22.50$, bought a hot dog and a drink for $3.75.

In essence, the amount Connor has left is;

$22.50 - $3.75

= $18.75

Therefore, if he wanted to spend the rest of his money on ride tickets which cost $1.25 each, the maximum number of ride tickets that he can buy can be evaluated as follows;

No. of ride tickets = $18.75/$1.25

No. of ride tickets = 15

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what’s the 2nd term in the sequence?

Answers

Answer:a fgbvffjnfv

Step-by-step explanation:

Consider the steps to solve the equation. 2 5 ( 1 2 y + 20 ) − 4 5 = 9 20 (2y − 1) Distribute:  1 5 y + 8 − 4 5 = 9 10 y − 9 20 What is the next step after using the distributive property? Use the multiplication property of equality to isolate the variable term on one side of the equation. Use the multiplication property of equality to isolate the constant on one side of the equation. Combine the like terms on the right side of the equation. Combine the like terms on the left side of the equation.

Answers

Answer: It’s D

Step-by-step explanation:

Just took assignment

Answer:

-D

Step-by-step explanation:

I got 100% on this assignment

79. Revenue. The revenue (in dollars) from the sale of x infant car seats is given by R1x2 = 60x - 0.025x2 0 ... X ... 2,400 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R′1x2. (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results.

Answers

Question:

59 Revenue. The revenue (in dollars) from the sale of x infant car seats for infants is given by

R(x) =60·x - 0.025·x² 0 ≤ x ≤ 2400

(A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats.

(B) Use the four-step process to find

(C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results

Answer:

(A) $437.5

(B) R'(x) = 60 - 0.05·x

(C) $10

Step-by-step explanation:

(A) Here we have the change in revenue when production is increased from 1,000 car seats to 1,050 car seats is given as follows;

R(1050) - R(1000) = 60×1050 - 0.025×1050² - (60×1000 - 0.025×1000²)

R(1050) - R(1000) = 63000 - 27562.5 - 35000 = $437.5

(B) R'(x) is given by

Step 1. R(x + h) = 60·(x+h) - 0.025·(x+h)²

Step 2  R(x + h) - R(x) = 60·(x+h) - 0.025·(x+h)² -  60·x - 0.025·x² = [tex]-\frac{h^2+(2x-2400)h}{40}[/tex]

Step 3

[tex]\frac{R(x+h)- R(x)}{h} = -\frac{h^2+(2x-2400)h}{40 \times h} = -\frac{h +2x - 2400}{40}[/tex]

Step 4

[tex]\lim_{h \to 0} \frac{R(x+h)- R(x)}{h} = \lim_{h \to 0} -\frac{ h +2x - 2400}{40}[/tex]

∴  R'(x) = 60 - 0.05·x

(c) The revenue at a production level of 1000 car seats is

R(1000) = (60×1000 - 0.025×1000²) = $35,000

The instantaneous rate of change of revenue is given as follows

R'(x) = 60 - 0.05·x = 60 - 0.05×1000 = $10.

Final answer:

A) The average change in revenue when production is changed from 1,000 car seats to 1,050 car seats is $8.75. B) The derivative of the revenue function R1(x) with respect to x is R′1(x) = 60 - 0.05x. C) At a production level of 1,000 car seats, the revenue is $35,000 and the instantaneous rate of change of revenue is $10.

Explanation:

(A) To find the average change in revenue, we need to calculate the change in revenue and divide it by the change in the number of car seats produced. Let's calculate:

For 1,000 car seats, the revenue is R1(1000) = 60(1000) - 0.025(10002) = $60,000 - $25,000 = $35,000.For 1,050 car seats, the revenue is R1(1050) = 60(1050) - 0.025(1050x2) = $63,000 - $27,562.50 = $35,437.50.The change in revenue is $35,437.50 - $35,000 = $437.50.The change in the number of car seats produced is 1,050 - 1,000 = 50.The average change in revenue is $437.50/50 = $8.75.

(B) To find R′1(x), we need to calculate the derivative of the revenue function R1(x) with respect to x. Let's differentiate:

R′1(x) = d/dx(60x - 0.025x2) = 60 - 0.05x

(C) At a production level of 1,000 car seats, the revenue is $35,000. The instantaneous rate of change of revenue (also known as the marginal revenue) at this production level can be found by substituting x = 1,000 into R′1(x):

R′1(1000) = 60 - 0.05(1000) = 60 - 50 = $10. The revenue at this production level is $35,000 and the instantaneous rate of change of revenue is $10, which represents the additional revenue obtained from producing one additional car seat.

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if the radius of circle r is 7 and the radius of circle s is 9, what is the ratio of the circumference of circle r to circle s

Answers

Answer:

43.96 : 56.52

Step-by-step explanation:

Circumference  = 2 * pi * Radius

Circumference = Diameter * pi

Circle R's Circumference = 43.96 (7 * 2 * 3.14)

Circle S's Circumference = 56.52 (9 * 2 * 3.14)

The ratio of the circumference of circle r to s = 43.96:56.52

hey guys:) how can one solve this?

x⁴ - 2x + 2

please with an explanation​

Answers

Answer:

81x+2

Step-by-step explanation:

2x+x=3x

3×3×3×3=81x

A writer’s last four articles and fees paid have been recorded below. What is the rate of change in the writer’s fee from writing a 700-word article to an 800-word article

Answers

Answer:

i don't think anyone an answer this without the picture below.

Step-by-step explanation:

Which ordered pair is a solution of the equation y-4=7(x-6)

Answers

Answer:

y=7x-38

Step-by-step explanation:

(0, -38) (-7, -31) (-14, -24) (-21, -17) are a few ordered pairs that are solutions to the equation “y - 4 = 7(x - 6)”.

4m=4(m−1)
I'm not sure if this is right but i got 0= -4

Answers

Answer:

Don't worry, there is no solution.

Step-by-step explanation:

If you end up with 0 equaling something that isntn0 when you're simply solving a variable, there is no solution. But if you get 0=0, it's all real numbers.

Which equation can be used to find the surface area of the cylinder?

A cylinder with a diameter of 6 centimeters and height of 14 centimeters.
S = 2 pi (14) squared + 2 pi (14) (6)
S = 2 (3) squared + 2 (3) (14)
S = 2 pi (6) squared + 2 pi (6) (14)
S = 2 pi (3) squared + 2 pi (3) (14)

Answers

Answer:

  S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr²

The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...

  A = 2π(3²) . . . . . . matches a term in the last choice

__

The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...

  A = 2πrh

For the given radius and height, the lateral area in square centimeters is ...

  A = 2π(3)(14) . . . . . . matches a term in the last choice

__

The total surface area is the sum of the areas of the bases and the lateral area, so is ...

  S = 2π(3²) +2π(3)(14) . . . . . matches the last choice

_____

Comment on answer choices

We could choose the correct answer based solely on the area of the bases of the cylinder.

Answer:

S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

antiderivative of Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 6 x 5 − 8x4 − 9x2.) f(x) = 6x5 − 8x4 − 9x2 the function.

Answers

Answer:

x^6 - (8/5)x^5 - 3x^3 + C.

Step-by-step explanation:

f(x) = 6x^5 - 8x^4 - 9x^2.

Using the general form antiderivative of Ax^m = Ax(m+1) / (m+1)+ C:

Antiderivative = 6 * x^(5+1) / 6 - 8 * x^(4+1) / 5 - 9 * x^(2+1) / 3 + C

=  6x^6/6  - 8x^5/5 - 9x^3/3 + C

= x^6 - (8/5)x^5 - 3x^3 + C.

Differentiating:

f'(x) = 6x^(6-1) - 8 x^(5-4) - 9x^(3-1) + 0

f'(x) = 6x^5 - 8x^4 - 9x^2.

Final answer:

The most general antiderivative of the given function f(x) = 6x5 − 8x4 − 9x2 is F(x) = x^6 - 8/5 * x^5 - 3x^3 + C, where C is the constant of the antiderivative.

Explanation:

To find the most general antiderivative of the given function f(x) = 6x5 − 8x4 − 9x2, we need to perform the process of integration, which is the reverse of differentiation. The antiderivative F(x) will be found by integrating each term of the function separately.
The antiderivative of f(x) will then be:  

F(x) = ∫6x5 dx - ∫8x4 dx - ∫9x2 dx,

Transitioning to the next step by applying the power rule for integration, we add 1 to the exponent and divide by the new exponent, we obtain

F(x) = 6/6 * x^(5+1) - 8/5 * x^(4+1) - 9/3 * x^(2+1) + C

Simplified, the antiderivative F(x) becomes:  

F(x) = x^6 - 8/5 * x^5 - 3x^3 + C,

where C is the constant of the antiderivative.

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If six people decide to come to a basketball game, but three of them are only 2/5 sure that they will stay for the entire time (the other three are sure they'll stay the whole time), what is the probability that at the end, at least 5 people stayed the entire time

Answers

Answer:

the probability that at the end, at least 5 people stayed the entire time = 0.352

Step-by-step explanation:

From the question, 3 of the people are sure to stay the whole time. So, we'll deduct 3 from 6.which leaves us with 3 that are only 2/5 or 0.4 sure that they will stay the whole time.

Thus, what we need to compute to fulfill the probability that at the end, at least 5 people stayed the entire time of which we know 3 will stay, so for the remaining 3,we'll compute;

P[≥2] which is x~bin(3,0.4)

Thus;

P(≥2) = (C(3,2) x 0.4² x 0.6) + (C(3,3) x 0.4³)

P(≥2) = 0.288 + 0.064

P(≥2) = 0.352

Find the area of a circle with a circumference of \blueD{50.24}50.24start color #11accd, 50, point, 24, end color #11accd units.

Answers

Answer:

[tex]201 cm^2[/tex]

Step-by-step explanation:

The circumference of a circle is given by:

[tex]c=2\pi r[/tex]

where

r is the radius of the circle

For the circle in this problem,

c = 50.24 cm

Therefore the radius is:

[tex]r=\frac{c}{2\pi}=\frac{50.24}{2\pi}=8 cm[/tex]

The area of a circle is given by the formula

[tex]A=\pi r^2[/tex]

where r is the radius.

For the circle in this problem,

r = 8 cm

So the area is

[tex]A=\pi \cdot 8^2 = 201 cm^2[/tex]

The area of the circle is 201 cm square.

Calculation of the area of the circle:

Since we know that

Circumference of the circle = [tex]2\pi r[/tex]

So here radius should be

[tex]= c\div 2\pi \\\\= 50.24\div 2\pi[/tex]

= 8 cm

Now the area of the circle is

[tex]= \pi r^2\\\\= 3.14\times 8^2[/tex]

= 201

Hence, we can conclude that The area of the circle is 201 cm square.

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Find the domain of the following function:


y = x^3 − 8
_________
x^2 + 9

Select the appropriate response:

A) 483xy
B) domain: all values of y
C) all values of x
D) Not possible to solve

Answers

Answer:

C) all values of x

Step-by-step explanation:

Domain is the set of values of input 'x'

Since the denominator is not 0 for any x, there's no domain restriction

What expression represents the profit, and what is the profit
if 240 cell phones are sold?
O 40x – 30; $2,400
40x - 30; $9,570
O 70x + 50; $16, 850
O 70x + 50; $28,800

Answers

Answer:

C: 70x+50; $16,850

Step-by-step explanation:

I just took the test don’t fail :)

plz help ill give brailest

Answers

Answer:

[tex]\frac{4^{15} }{b^{21} }[/tex]

Step-by-step explanation:

First, multiply the exponent 7 and the -3 together, giving you:

[tex]b^{-21}[/tex]

Then, multiply the exponent 5 and the -3 together, giving you:

[tex]4^{-15}[/tex]

But since you can't have a negative exponent, you need to switch the numbers in their places. This is because, when you have a negative exponent, you either switch it to under 1 or over 1, depending on where it currently is:

[tex]\frac{4^{15} }{b^{21} }[/tex]

answers to bad dog breakout

Answers

Final answer:

Without specific context or questions from 'Bad Dog Breakout', it's challenging to provide a specific answer. It's recommended to read the text carefully, breakdown the text, and note down important points such as characters, plot, and themes.

Explanation:

I apologize but without the detailed context or exact questions from 'Bad Dog Breakout', it's challenging to provide a specific answer. 'Bad Dog Breakout' might be a literary work or a segment from an English curriculum, and the questions can vary greatly. However, I encourage you to read and comprehend the text carefully. Breaking it down paragraph by paragraph, identifying characters, noting down the plot, any significant themes and important details might help.

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find the length of the third side to the nearest tenth

Answers

Answer:

7.1

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

All you need to do is plug in the numbers (in this case, they've already given you the hypotenuse, which is c in the formula, are you're solving for the leg).

[tex]7^{2} + b^{2} = 10^{2}[/tex]

49 + [tex]b^{2}[/tex] = 100

Subtract 49 from both sides:

49 + [tex]b^{2}[/tex] = 100

-49          -49

___________

[tex]b^{2}[/tex] = 51

Square root both sides:

[tex]\sqrt{b^2} = \sqrt{51}[/tex]

b = 7.14

b = 7.1

Cecil recivies $15 per week for complting chores. He spend $12 on a video game. What percent of his monthly allowence did cecil spend on teh video gmae

Answers

$15 x 4 weeks(One Month) = $60
12 is 20 percent of 60
So the answer is 20%

Final answer:

Cecil spent 20% of his monthly allowance on the video game, calculated by dividing the $12 spent on the game by his $60 monthly allowance and then multiplying by 100 to get the percentage.

Explanation:

To find out what percent of his monthly allowance Cecil spent on the video game, we first need to calculate his total monthly allowance. Cecil receives $15 per week for completing chores. There are typically 4 weeks in a month, so Cecil's monthly allowance is 15 dollars/week * 4 weeks/month = $60 per month.

Next, we will calculate the percentage of his allowance that was spent on the video game. Cecil spent $12 on a video game. To find this percentage, we use the formula:

Percentage spent = (Amount spent / Total allowance) * 100

Percentage spent = ($12 / $60) * 100

Percentage spent = 0.2 * 100

Percentage spent = 20%.

Therefore, Cecil spent 20% of his monthly allowance on the video game.

Helga signs up to coach hockey. she wants to make at least $775 during the season. she gets $200 at the start of the season and $50 for each practice session she has. how many practice sessions does Helga need to have this season?

Answers

Answer:

12

Step-by-step explanation:

Well 775-200 = 575

575÷50= 11.5

round up because you cannot got to a half of practice.

So 12 practices.

Answer:Helga needs to have at least 12 practice sessions.Step-by-step explanation:50p 1 200 $ 77550p $ 575p $ 11.5Thank youSunshinemadison101

Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades? Express your first answer as a fraction in simplest form

Answers

Answer:

Hence  the probability of getting 2 spades will be 1/16

Step-by-step explanation:

Given:

Two deck if playing cards

To Find:

Probability that will get two spades

Solution:

As we know that ,there 52 playing cards in a deck

and 13 of that are spades

So probability of getting spade from a deck is ,

P(spades)=total number of spades /Total number of cards.

P=13/52

P=1/4

Similar for the second deck of card,

Required probability is that , getting spades from each deck

It is given by,

Required probability =Probability of spades in 1st AND Probability  of spade in 2nd deck

As there is use of AND operator there should multiplication of two events,

Required probability =1/4*1/4

=1/16

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