Solve Using substitution 3x+5y=-28 Y=x+4

Answer:

(a)  13.9 blocks (nearest tenth)

(b)  32.9 blocks (nearest tenth)

Step-by-step explanation:

The given scenario can be modeled as a right triangle.

If Amy walks south 7 blocks, one leg of the triangle is 7.

If Amy then walks west 12 blocks, the other leg of the triangle is 12.

To calculate the number of blocks Amy walks on her way home if she walks directly from school to her home, find the length of the hypotenuse of the right triangle.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

Substitute a = 7 and b = 12 into Pythagoras Theorem and solve for c (hypotenuse):

[tex]\implies 7^2+12^2=c^2[/tex]

[tex]\implies 49+144=c^2[/tex]

[tex]\implies 193=c^2[/tex]

[tex]\implies c=\sqrt{193}[/tex]

[tex]\implies c=13.8924439894...[/tex]

Therefore, Amy walks 13.9 blocks (nearest tenth) on her way home.

To calculate the number of blocks Amy walks in one day for her round trip to school and back home, sum the side lengths of the right triangle:

[tex]\implies 7 + 12 + 13.9 = 32.9[/tex]

Therefore, Amy walks 32.9 blocks (nearest tenth) in one day for her round trip to school and back home.

Answer:

14. 1/13

15. 14/15

16. 1/13

17. 15/30=1/2

18. 12/13

19. 12/15

If you are happy with my answers, please give brainliest :)

Answer:

[tex] \sin(30) = \frac{y}{2 \sqrt{2} } \\ \\ < = > \frac{1}{2} = \frac{y}{2 \sqrt{2} } \\ < = > y = \frac{2 \sqrt{2} }{2} \\ \\ < = > y = \sqrt{2} [/tex]

Answer:

y= √2

Step-by-step explanation:

sin 30°= y/2√2

1/2= y/2√2

y=√2

Orange marble selection has a 0.33 experimental probability.12 over 60 is the experimental probability of landing on a number smaller than 2

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

In each of the three studies, Sandy's experimental probability matched the theoretical probability to the letter.

The theoretical likelihood of landing on orange is one-fourth, but the actual likelihood is 20%.

Orange marble selection has a 0.33 experimental probability.

12 over 60 is the experimental probability of landing on a number smaller than 2.

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shdudbdhxbdhxbsbdyshs

Answer:

C 3674cm²

Step-by-step explanation:

1) (34×15)×2= 510×2= 1020cm²

2) (28×15)×2= 420×2= 840cm²

3) (34×28)×2= 952×2= 1904cm²

4) Total of all areas (surface area): 1020+840+1904= 3764cm²

The elements in matrix X is attached below

Matrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.

In this problem, we can easily find x by reversing the variables and solve.

A - X = B

X = A - B

The elements in the matrix can be solved easily using an online calculator.

The value of x is attached below

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Answer:

-sqrt(2)/2 , the last option of your document.

Step-by-step explanation:

sin(7pi/4) = -sin(7pi/4 - pi)

                = -sin(7pi/4 - 4pi/4)

                 = - sin(3pi/4)

sin(3pi/4) is a special angle , which is sqrt(2)/2

Hence, sin(7pi/4) = -sin(3pi/4)

                             = -sqrt(2)/2

Answer:

-sqrt(2)/2

Step-by-step explanation:

did the test

9514 1404 393

Answer:

  4 1/6 miles per hour

Step-by-step explanation:

6 minutes is 1/10 hour, so Sara's speed is ...

  speed = distance/time

  speed = (5/12 mi)/(1/10 h) = 50/12 mi/h

  speed = 4 1/6 mi/h

Sara's speed is 4 1/6 miles per hour.

Answer:

the standard form of the equation is: a. y=7x^2-42x+67

Answer:

75

Step-by-step explanation:

Answer:

75 km

Step-by-step explanation:

Use the Pythagorean Theorem

c² = a² + b²

c² =  = 72² + 21²

c² = 5,184 + 441

c² = 5,625

Take the square root of both sides

c = 75 km

Answer:

5

Step-by-step explanation:

Answer:I believe it would be 5

Step-by-step explanation:

because if you do it on a table chart you reach five first as the same number

Solution

 16 dm=160 cm

50 cm* 160 cm= 8000 cm²= 0,8 m²

odp C

Answer:

The question is not detailed enough

Answer:

In step 2, Nathan did not simplify 5x - 3x correctly.

Step-by-step explanation:

In step 2, Nathan was one number off the correct simplification.

Answer:

a and c are both congruent to each other i just learned about rhombuses the other day so if a and c are congruent then b and d are congruent too

Answer: 8%

Step-by-step explanation:

Answer:

$53

Step-by-step explanation:

You can just substitute the values in the equation

The amount Eric saves this weekend is $53.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

Sandwiches= $10

Order delivery= %14

Now,

To find how much money he saves this weekend, you need to substitute s = 5 and d = 4 into the expression and simplify. Here are the steps:

1/2(10s + 14d)

= 1/2(10(5) + 14(4))

= 1/2(50 + 56)

= 1/2(106)

= 53

Therefore, by the expression the answer will be $53.

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Answer:

Step-by-step explanation:

On solving the provided question, we can say that  on matching the expressions are 100X 14 = 1400 and 14(10) = 140 and 361 . 100 = 36100 and 100(361) = 36100

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

so, on matching the expressions are

100X 14 = 1400

14(10) = 140

361 . 100 = 36100

100(361) = 36100

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The best answer is to simplifying each of the identity separately to get the same expression on both sides. Option C

Trigonometric identities are described mathematically as equalities consisting of trigonometric functions that proves true for all the value of occurring variables for which both sides of equality are defined.

These involve certain functions of one, two or more angles.

They also are different from triangle identities, which involves angles and side lengths of a triangle.

To verify a trigonometric identity, we take the following steps;

Hence, the best option is C

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Answer:

theres three possible answers, they either QUACK, HONK, or hum

Step-by-step explanation:

Answer:

16,000

Step-by-step explanation:

11,319 rounded to the nearest thousand is 11,000.

4,895 rounded to the nearest thousand is 5,000.

11,000 + 5,000 is equal to 16,000.

Answer:

10b^2

Step-by-step explanation:

30b^2: 5 * 2 * 3 * b^2  

80b^2: 5 * 2 * 2 * 2 *2 * b^2

20b^3: 5 * 2 * 2 * b^2 * b

The highest common factor is in bold script. It is 10b^2

Answer:

25,000 - .17t

Step-by-step explanation:

On solving the problem we got that, 17yds and 11yds are its length and width​

The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.

length =L

width = W

length is 6 yd longer than its width,

L  =  6 + W

perimeter is 56yds:    

[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]

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Answer:

The ratio of the number of quarters to the number of dimes in the box is 9:10

Step-by-step explanation:

Answer:

5.7%

Step-by-step explanation:

% Prob (Land) = Half ie 50%  ; % Prob (Sea) = 30%

% Prob (Air) = Remaining ie 100% - 50% - 30% = 20%

Prob (Land highway) = 40% of land = 40% of 50% = 20%

Prob (Land rail) = remaining ie 60% of land = 60% of 50% = 30%

Pr (Damage by Land) = 10% of rail + 5% of rail = 10% of 20% + 5% of 30% = 2% + 1.5% = 3.5%

Prob (Damage by Sea) = 6% of sea = 6% of 30% = 1.8%

Prob (Damage by Air) = 2% of air = 2% of 20% = 0.4%

Total Prob (Damage) =  3.5%  + 1.8% + 0.4%  

= 5.7%

Answer:

A

Step-by-step explanation:

The given dimensions:

Height = 12 in

Radius = 9 in

Recall the cylinder volume formula: [tex]V=\pi r^2h[/tex]

where r = radius and h = height

Using the dimensions stated above, plug in the values into the formula

[tex]V=\pi 9^212\\9^2=81\\81\pi =254.4690049\\254.4690049*12=3053.628059\\V=3053.628059[/tex]

Finally, round answer to the nearest tenth

Your answer would be A.3053.6

The line that passes through these two points is y=x-2

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here function whose graph contains the points (9, 7) and (4, −8)

Thus using the two point formula for a line we get the equation as

y-7=(x-9)

y=x-2

Hence, The line that passes through these two points is y=x-2

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