Which region represents the solution to the given system of inequalities?

Answer:

4:5

Step-by-step explanation:

32:40

=>32/40

=>diving numerator and denominator by 8

=>4/5

=>4:5

Answer: 4:5

Step-by-step explanation:

32 and 40 share a common factor of 8. We can divide both of them by 8 so that the ratio stays the same value and it'll be in it's simplest form.

[tex]\frac{32}{8} =4\\\frac{40}{8} =5[/tex]

4:5 is the final answer.

Answer:

1/4x = 15/16

Step-by-step explanation:

1/4x = 15/16

Answer:

y= -x+1/2

Step-by-step explanation:

Answer:

x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{35}[/tex] ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

Given the system of equations below:

[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]

The first equation is y-isolated so we can substitute in the second equation.

[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]

Use the distribution property to expand in and simplify.

[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]

The another method is to divide the second equation by 2.

[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]

Arrange in the form of y = mx+b.

[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

Hope this helps. Let me know if you have any doubts!

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Answer:

x = -3 ; y = -6

Step-by-step explanation:

x = y + 3

-2x + 4y = -18

-2(y+3) + 4y = -18

-2y -6 + 4y = -18

2y = -12

y = -6

x = -6+3

x = -3

Answer:

x = -3    y = -6

Step-by-step explanation:

x = y + 3

x - 3 = y

-2x + 4(x - 3) = -18

-2x + 4x - 12 = -18

2x = -6

x = -3

x = y + 3

-3 = y + 3

-6 = y

Answer:

-13.333

Step-by-step explanation:

This is the answer to:

-8(-2 1/3)-(2(4) to the power of 2

Hope this helps!

Answer:

This is incorrect as 1/8 plus 3/5 is 29/40

Step-by-step explanation:

:)

Answer:

Susan is incorrect.

Step-by-step explanation:

First, what we do is add 1/8 + 3/5

Our result will be 4/13 because 1+3 = 4 would be as the numerator, and 8+5 = 13 would be as the denominator.

We can't simplify 4/13.

If we did increase the number, however, it would be 8/26, which is not close to the answer.

Therefore, Susan is incorrect.

-kiniwih426

Answer:

120

Step-by-step explanation:

25 X 3 = 75%    40 X 3 = 120

The 75 percent of the number whose 35% is 40 is evaluated being equal to 120

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Suppose the number we're taking about be 'x'.

Then, as stated in the question, we get:

25% of x = 40

or

[tex]\dfrac{x}{100} \times 25 = 40\\{x} \times \dfrac{25}{100} = 40\\\\x \times \dfrac{1}{4} = 40\\\\\text{Multiplying 4 on both the sides, we get:}\\\\x = 160[/tex]

Now, we've found the number. It is 160. Its 75% is evaluated as:

[tex]\dfrac{x}{100} \times 75 = \dfrac{160}{100}\times 75 = \dfrac{160 \times 3}{4} = 120[/tex]

Thus, the 75 percent of the number whose 35% is 40 is evaluated being equal to 120

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

The answer is D. 3

Answer:

Slope=-1.4

Step-by-step explanation:

Slope= Rise/Run, basically calculate how much higher up and further out the first plot is from the second one! So start at the first plot, go down 7 to get to the same level as the bottom one. SO your first number is -7. Next, go over 5 to reach the same point where the second point is. Your second number is 5. So the slope is -7/5, or -1.4

Hope this helps:)

Answer:

-7/5

Step-by-step explanation:

We need to take the two points and use the slope formula

( -2,4) and (3,-3)

m = (y2-y1)/(x2-x1)

    = (-3-4)/(3- -2)

   = (-3-4)/(3+2)

    =-7/5

Answer:

Becky's age is equal to 20.

Step-by-step explanation:

The given expression is :

(7+11)-(8÷2)

Using Bodmas rule to solve it furthur,

(18)-4 = 14

According to the given condition, let the age is A.

The value is 6 less than her age,

14 = A-6

or

14+6 = A

A = 20

Hence, Becky's age is equal to 20.

value of x= 7√3

Hope it helps you...

Answer:

2,3

Step-by-step explanation:

Answer:

y -y1=y2-y1/x2-x1(x-x1)

Answer:

16(sin 30degrees) = BC

BC = 8

Answer:

Step-by-step explanation:

The 2 figures are similar so corresponding sides are in the same ratio.

The factor is the value that you have to multiply a side in the first rectangle to get the corresponding side in the second rectangle.

12 ----> 9  

So:

12 * f = 9     where f is the factor

f = 9/12 = 3/4.

Answer:

easy bro go and use m-a-t-h w-a-y

Step-by-step explanation:

it's going to help

Answer:

I dont know what graph it requires to because u didnt show any graphs :)).....is there anything else I could help u with?

Step-by-step explanation:

Answer:

Pic1 answers:

P(blue) = 4/26,

P(yellow or green) = 14/26

P(purple) = 0.0%

P(red or green) = 18/26

P(not pink) = 26/26

P(not blue) = 22/26

Pic2 answers:

P(u) = 1/12

P(Vowel) = 6/12

P(a,b,c,d,e) = 4/12

P(Not A) = 10/12

P(vowel or consonant) = 12/12

P(not an m,s,t) = 9/12

(-4×-6) =-24÷6=4

24÷4=6. x=4. x=6

Answer:

[tex] {6}^{ - 3} \\ = \frac{1}{ {6}^{3} } \\ = \frac{1}{216} [/tex]

Answer:

1/6^3

Step-by-step explanation:

6^-3

1/6^3

Note if any base has it's power negative then just do its reciprocal the exponent will be positive.

For example:

5^-y

1/5^y

Answer: It will have a minimum.

Answer: 172.05

Hope this helps

Answer:

c

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Take the 1st equation & solve it :-

[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]

Now, take the second equation :-

[tex]3x = 8[/tex]

[You can't further solve this equation]

So, from the 2 solved equations we can see that,

[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]

✐ The answer will be ⇻ Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.

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