simple math! i'll mark you if you get it right

9514 1404 393

Answer:

  (a) -(x+7)/y

  (b) (x+7)/-y

Step-by-step explanation:

There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.

The given expression with -1 factored out is ...

  [tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]

Likewise, the expression of (b) with the minus sign factored out is ...

  [tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]

On the other hand, simplifying expression (c) gives something different.

  [tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]

__

Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).

  Given: (-x-7)/y = (-x/y) +(-7/y)

  (a) -(x+7)/y = (-x/y) +(-7/y)

  (b) (x+7)/(-y) = (-x/y) +(-7/y)

  (c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.

__

Of course, you need to know the use of the distributive property and the rules of signs.

  a(b+c) = ab +ac

  -a/b = a/(-b) = -(a/b)

  -a/(-b) = a/b

__

Summary: The given expression matches (a) and (b).

_____

Additional comments

Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...

  [tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]

Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.

The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.

(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given

(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given

(c) evaluates to (-1-7)/-2 = 4, different from given

Answer:

C. The shaded area represents both 2/3 and 6/9 of the whole shape.

Answer:an icosceles triangle with pq qr

Step-by-step explanation:

Answer:

$98.07

Step-by-step explanation:

Divide 237 by 290 to get the unit price of each meatball

237 / 290 = 0.8172413793

Multiply 0.8172413793 by 120 to get the total cost to make the meatballs

0.8172413793 * 120 = 98.068965516

Round that number to the nearest hundredth

Answer: $98.07

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

https://brainly.com/question/2644832

Answer:

7 1/2

Step-by-step explanation:

Because you have to keep, change, flip and it is positive because they both are negative

Can you mark me brainliest

9514 1404 393

Answer:

  2.  G  10.72 units

  3.  B  3.6, 6, 4.8

Step-by-step explanation:

2. The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the sides.

  14^2 = 9^2 + CB^2

  196 = 81 + CB^2 . . . . find the square values

  115 = CB^2 . . . . . . . . subtract 81

  √115 = CB ≈ 10.72 . . . . . matches G

__

3. You know that lengths 3, 4, 5 form a right triangle. This is a special triple for several reasons. One of them is that it is the smallest integer Pythagorean triple. Another is that it is the only Pythagorean triple that is an arithmetic sequence (has constant differences between lengths).

You can use this as a reference to look at the choices offered.

  A. The lengths 3.2, 4.1 and 5.0 have constant differences of 0.9. The shortest length is not 3 times this value, so this is not a right triangle.

  B. The lengths 3.6, 4.8, 6 have constant differences of 1.2. These numbers are 3, 4, and 5 times that difference, so these segments will form a right triangle.

  C, D. The longest length is an integer. The sums of the squares of the decimal values will not be integers, so these are not right triangles.

  4.5^2 +6.7^2 = 65.14  not 8^2

  5.2^2 +8.5^2 = 99.29  not 10^2

Answer:

1/3

Step-by-step explanation:

the y-intercept is when x=0, so, if x was 0, y is1/3

plz brainliestt

Answer:

It is 1/3

Step-by-step explanation:

hope it helps ^^

The two angles are supplementary angles and when added together equal 180 degrees.

3x -12 + x+2 = 180

Simplify:

4x -10 = 180

Add 10 to both sides

4x = 190

Divide both sides by 4

X = 190/4

X = 47.5

Answer:

egwegerhreherhsrhs

Step-by-step explanation:

thtrhrtsjsjhshjshhs

sorry i don't know

sorry

sorry

Answer:

1 hour

Step-by-step explanation:

300/6= 50

in one hour he drives 50 miles

so the answer is 1 hour

Answer:

uh 351,000? im not sure..

Step-by-step explanation:

Answer:

22-18-25,

19-24-30,

7-24-25

Step-by-step explanation:

In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.

Using this rule, the possible side lengths out of these choices that could form a triangle are:

22-18-25,

19-24-30,

7-24-25

The answer is 65

Step-by-step explanation:

all you had to do was divide

Answer:

huh? im confused on the question

Step-by-step explanation:

!!

Answer: 3.76

Step-by-step explanation:

trust

Answer:

86.4 I believe

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

In four acres there are 3 gardens so you just have to multiply 4x3=12

Answer:

angle A=140

angle B=105

angle C=60

angle A=140

angle B=105

angle C=60

Step-by-step explanation:

PENN

Answer: $49.18

Step-by-step explanation:

$98.35 divided by 2 equals 49.175 if rounded it is $49.18

Answer: These are non- consistent and can be solved. The signs of the y terms are the opposite.

Step-by-step explanation: If the signs are the same, and all the terms of one equation are multiples of the other, they are identies, with infinite solutions. We can solve this system by multiplying the first equation by 2, adding the equations to cancel the y terms, and solve for x.

2(3x+y=5) becomes

6x +2y= 10 Add it to the other equation

6x -2y= 10 We are left with

12x = 20 Solve for x

x = 5/3 Substitute for x and solve for y.

3(5/3) + y = 5

5 + y = 5. Subtract 5 from both sides.

y = 0

The solution to this system is (5/3 , 0)

[tex]\frac{x}{y}[/tex]Answer:

Six would be your answer

Step-by-step explanation:

2y-9= y-2

-y        -Y

y-9=-2

y=-2+9

y=6

Answer:

Sample size is [tex]n=423[/tex]

Step-by-step explanation:

Given that,

Margin of error [tex]=4[/tex]%

Confidence level [tex]=90[/tex]%

Suppose, sample proportion[tex]=0.5[/tex]

        i.e. [tex]\hat{P}=0.5[/tex]

We know that,

     Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]

 ∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]

[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]

[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]

[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]

squaring on both side,

∴ [tex]n=423.1249[/tex]

Hence, the sample size is,

   [tex]n=423[/tex]

Hence, the correct option is [tex](b).[/tex]

Answer:

423

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

.3988 .

Step-by-step explanation:

We shall use Binomial distribution formula in the problem .

n = 103

The probability that a passenger will not miss the flight and show up = .97

The probability that a passenger will miss the flight = .03

n = 103 ,

probability of showing up  101 , 102 and 103 passengers so that at least 1 passenger will return or bump .

= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³

103 x 102 /2  .97¹⁰¹ .03² + 103  .97¹⁰² .03 + .97¹⁰³

= 5253 x .046 x .0009 + 103 x .00134 + .0434

= .2174 + .1380 + .0434

= .3988 .

The probability that the airline will have to bump at least one passenger is; 0.3988

Probability that the travelers did not show up for the flight is; q = 3% = 0.03

Probability that they will show up for the flight is; p = 97% = 0.97

P(X = r) = nCr × p^(r) × q^(n - r)

Thus, the probability that the airline will have to bump at least one passenger is;

(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)

>> 0.2174 + 0.1380 + 0.0434

>> 0.3988

Read more on binomial probability at; https://brainly.com/question/15246027

Answer:

Hope i helped

Step-by-step explanation:

The answer is in the picture.

Answer:

One Serving - 1/4 teaspoon

240 Serving - 60 teaspoon

plz mark as brainliest

Answer:

379.94 square inches, or 379.94 in².

Step-by-step explanation:

The area of a circle is π r². The diameter of the circle is listed as 22 inches, and the radius, or "r", is equal to half of the diameter. So, half of 22 is 11.

Since the formula says r², 11 needs to be squared, or multiplied once by itself.  11 x 11 = 121, so the last part of the equation is to multiply 121 by π. Because pi is an irrational number that never ends, it is commonly accepted to use 3.14, or the first three digits of pi, as the value of pi in an equation.

With that, 121 x 3.14 = 379.94, giving a final answer of 379.94 in².

Let me know if I need to change or clarify anything. I hope this helps! :D

Answer:

19.6ft2

Step-by-step explanation: