Solve 6x + 3) = 21.
A. x = -3 and x = -4
O B. x = 3 and x = -3
C. X = -3 and x = 4
D. x = 3 and x = -4

Answer:

13

Step-by-step explanation:

Since the angles form 180 degrees, it will be what the equation is equal to.

Make the equation:

8r + 5 + 5r + 6 = 180

Combine like terms:

8r + 5 + 5r + 6 = 180

13r + 5 + 6 = 180

13r + 11 = 180

Solve:

13r + 11 = 180

       -11     -11

---------------------

     13r = 169

    ------   ------

      13      13

        r = 13

Hope this helped.

Answer:

3x + 57 ≤ 90

Step-by-step explanation:

Answer:

3x+57<90

Step-by-step explanation:

Have a good day :)

Answer:

X-7y+391

Step-by-step explanation:

First multiply

8x47=376

Now group those that are the same together

X-3y -4y+376 +15

X-7y+391

Answer:

x - 7y + 391

Step-by-step explanation:

[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]

[tex]x - 3y + 376 + 15 - 4y[/tex]

[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]

[tex]x - 7y + 376 + 15[/tex]

[tex] = x - 7y + 391[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

We understand this to be two separate problems.

  -3/9 +(-2 9/10) = -(3/9 +2 9/10)

  = -(10/30 +87/30) = -97/30 = -3 7/30

__

  -3√(8 +(-2(9/10))) = -3√(8 -1.8) = -3√6.2 ≈ -7.46994

__

Additional comment

A calculator can help with these, especially if it is able to deal with rational numbers. (Many graphing calculators and some scientific calculators will do that more or less nicely. My favorite Android calculator app makes arithmetic with fractions and mixed numbers very easy.)

Answer:

49.12 ft^2

Step-by-step explanation:

The triangle:

Area = 1/2 * base * height

= 1/2 * 6 * 8

= 24

The semicircle:

Area = 1/2 * 3.14 * 4^2

= 25 .12

Total area = 24 + 25.12

= 49.12 fT^2

Answer:

Step-by-step explanation:

First we have to match these two terms

g(x)= g(-3)

Now we just replace the -3 with the x

-3^2 - 4

9-4

5 ----> the final answer

(btw the negative turned positive because it is squared)

Answer:

The water level would rise by [tex]5\; \rm cm[/tex].

Step-by-step explanation:

Assume that the initial water level is [tex]h\; \rm cm[/tex].

Before the cube was placed in the tank, the volume of the water was the same as the volume of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a height of [tex]80\; \rm cm[/tex], and a height of [tex]h\; \rm cm[/tex]:

[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times h\; {\rm cm} \\ =\; & (80 \times 160) \, h \; \rm cm^{3} \end{aligned}[/tex].

Let the rise in the water level in the tank be [tex]x\; \rm cm[/tex]. The new water level would be [tex](x + h)\; \rm cm[/tex].

The volume of the water and the submerged cube, combined, would be the same as that of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a width of [tex]\rm 80\; \rm cm[/tex], and a height of [tex](x + h)\; \rm cm[/tex]:

[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times (x + h)\; {\rm cm} \\ =\; & (80 \times 160) \, (x + h) \; \rm cm^{3} \end{aligned}[/tex].

In other words:

Therefore, the volume of the submerged cube could be expressed as:

[tex]\begin{aligned} & (80 \times 160) \, (x + h) \; {\rm cm^{3}} - (80 \times 160) \, h \; \rm cm^{3} \\ =\; &(80 \times 160)\, x\; {\rm cm^{3}}\end{aligned}[/tex].

On the other hand, the volume of the cube could be expressed as:

[tex](40\; \rm cm)^{3} = 64000\; \rm cm^{3}[/tex].

Equate these two expressions for the volume of the cube and solve for [tex]x[/tex], the rise in the water level in the tank:

[tex](80 \times 160)\, x = 64000[/tex].

[tex]x = 5[/tex].

In other words, the rise in the water level in this tank would be [tex]5\; \rm cm[/tex].

Add the two amounts together:

0.56 + 0.27 = 0.83 pounds total

Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?

First, understand the problem.

Luis buys 0.56 pounds of power pasta.

Mariana buys 0.27 pound of power pasta.

Then, add the bus of Luis and Mariana.

Answer:

well i know the first one

-19+3(-13+4*3)

= -19+3(-13+12)

= -19+3(-1)

= -19-3

= -22

Answer: $14.5

Step-by-step explanation:

Answer:

14644552+25625568

=40270120

Step-by-step explanation:

is right answer

Answer:

7.5

Step-by-step explanation:

168.75 divided by 22.5 = 7.5

$7.50 dollars an hour.

7.50 x 22.5 = 168.75

Answer:

[tex]\frac{3}{50}[/tex]

Step-by-step explanation:

6% = [tex]\frac{6}{100}[/tex]

= 0.06

= [tex]\frac{0.06}{1}[/tex] × [tex]\frac{100}{100}[/tex]

= [tex]\frac{6}{100}[/tex]

= [tex]\frac{3}{50}[/tex]

The 10 hypothetical numbers which meets the conditions given on the question may include :

1, 2, 3, 5, 6, 6, 7, 10, 10, 12

The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.

The five number summary of the hypothetical data are:

Median: 6

Minimum: 1

Maximum: 12

Lower quartile: 2.75

Upper quartile: 10

Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.

From the given  boxplot shown :

Minimum value = 1

Maximum value = 12

Median = 6

LOWER QUARTILE, Q1 = 4

UPPER QUARTILE, Q3 = 8

IQR = (Q3 - Q1) = 8 - 4 = 4

THE 10 made up numbers :

1, 2, 3, 5, 6, 6, 7, 10, 10, 12

The five number summary for the made up data :

Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6

Minimum: 1

Maximum: 12

First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5

Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10

Interquartile Range: (10 - 2.5) = 7.5

Learn more : https://brainly.com/question/12992903?referrer=searchResults

Answer:

the answer would be x^2 - 2x + 3

have a good day !! :D

Step-by-step explanation:

Answer:

D. x2 – 2x + 3

Step-by-step explanation:

Edge 2023

Answer:

= 12

Step-by-step explanation:

2 × {4 ÷ 2 -5}^2 -6

Solve the brackets first

2 × { 2 -5}^2 -6

2 ×{-3 }^2 -6

2 × 9 -6

18 -6

= 12

Step-by-step explanation:

[ 4 ÷ 2 - 5 ] ² - 6

(2 - 5)² - 6

(-3)² - 6

9 - 6

= 3

Answer:

See Below.

Step-by-step explanation:

By definition, if two functions, f and g, are inverses, then:

[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]

We are given the two functions:

[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]

Find f(g(x)) and g(f(x)):

[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]

Hence, f and g are indeed inverses of each other.

Answer:

-1/2

Step-by-step explanation:

3(y+13 )=36

y+13=12

y=-1

(1/2) x -1 = -1/2

3(y + 13) = 36

Distribute the 3

3y + 39 = 36

Subtract 39 from both sides.

3y = -3

Divide both sides by 3

y = -1

1/2y = 1/2(-1) = -1/2

(s - 5)(2s + 7) =

= 2s² + 7s - 10s - 35 =

= 2s² - 3s - 35

Answer:

2s² - 3s - 35 {final answer}

Step-by-step explanation:

Let's find simplest form of equation,

→ (s - 5)(2s + 7)

→ 2s² + 7s - 10s - 35

→ 2s²- 3s - 35

Thus, the answer is 2s²- 3s - 35.

Answer:

- 376

Step-by-step explanation:

8u = 8(- 8i + 3j ) ← multiply each element by 8

    = - 64i +24j

Then

(- 64i + 24j ) • (4i - 5j )

= (- 64 × 4) + (24 × - 5)

= -256 + (- 120)

= - 256 - 120

= - 376

Answer:

12 cookies = 10minutes

200 cookies = x minutes

cross multiply

200×10 = 12x

2000= 12x

divide both sides by 12

X = 166.67 minutes

Step-by-step explanation:

that is 200 cookies will take 166.67 minutes

Answer:

[tex]12 \: cookies \: in \: 10 \: minut \: \\ 1 \: cookie \: in \: \frac{10}{12} = \frac{5}{6} \: minute \\ for \: 200 \: cookies = \frac{5}{6} \times 200 = 166.67 \: minute \\ thank \: you[/tex]

Answer:

46666

Step-by-step explanation:

Step-by-step explanation:

______

0.7857142

note the first 7 is not included in the bar

Answer:

p+6

Step-by-step explanation:

9514 1404 393

Answer:

  42.4 m²

Step-by-step explanation:

The area can be found from the formula ...

  Area = 1/2ab·sin(C)

  Area = (1/2)(8 m)(12 m)sin(62°) ≈ 42.4 m²

Answer:

It's irrational

Step-by-step explanation:

An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.

Answer:

Rational

Step-by-step explanation:

Irrational numbers go on FOREVER.

An example is

1. π

2.[tex]\sqrt{2}[/tex]

....

Surds are irrational. A surd is a square root of a number that goes on forever.

Some irrational numbers have recurring digits (repeating digits)

10/3 is an example:

3. 333333333333333333333333333333333333333333............

Answer:

126 cats .................

126 dogs........