*I thought of a number, added 18, then multiplied the result by 8. I got 16. What was my number?

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

Answer:

Option B

Step-by-step explanation:

f(t) = 5000

g(t) = 250t

h(t) = f(t) + g(t) = 5000 + 250t

After 5 years, the amount of money in the account is:

h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20​

Add 10 to each side

5d - 10+10 = 20+10

5d = 30

Divide by 5

5d/5 = 30/5

d = 6​

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20

Add 10 to both sides of the equation

5d = 30

Divide both sides of the equation by 5

d = 6

Hope this helps :)

Answer:

This property is known as the associative property

Step-by-step explanation:

In the associative property, you rearrange the numbers so they make the most sense in what position they are in.

Hope this helps! :)

Answer:

associate property

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Answer:

1²+3

Step-by-step explanation:

I'm not to sure I hope this helped.

Answer:

Step-by-step explanation:

This problem has to do with matrix multiplication.

we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix

=[4*-2+2*7] and [4*5+2*-1]

=[-8+14] and [20+-2]

=[6  18]

Answer:

c. (6,18)

Step-by-step explanation:

[tex]P_(_A_o_r_B_)[/tex] = 1

This means that the probability of event A or event B of happening is 1 or certainly would happen.

Answer:

Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.

You can find more of this information on google if youd like.

Answer:

B. -1/3x

Step-by-step explanation:

Start with

y = mx + b

The y-intercept is 0, so we have

y = mx

To find m, the slope, start at (0, 0).

slope = m = rise/run

Go up 1 unit and left 3 units. Rise = 1; run = -3.

m = 1/(-3) = -1/3

Now we have

y = -1/3x

Answer: B.

Answer:

Step-by-step explanation:

Let the number be x

Twice the difference of a number and 5 is written as

2( x - 5)

three times the sum of the number and 2 is written as

3( x + 2)

Equate them

We have

2(x - 5) = 3(x + 2)

Expand

2x - 10 = 3x + 6

Group like terms

2x - 3x = 16 + 10

- x = 16

Multiply through by - 1

x = - 16

Hope this helps you

Answer:

(6, -4)

Step-by-step explanation:

If ABCD is dilated by a factor of 2, you multiply the coordinates by 2. For the coordinate D', you would multiply 3 by 2 to get 6 and you would multiply -2 by 2 to get -4. Answer: (6, -4)

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

Answer:

Third option is correct.

Step-by-step explanation:

Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.

Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.

Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.

Answer:

Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.

Step-by-step explanation:

Answer:

Hello!

____________________

77 = 1 x 7 x 11

91 = 1 x 7 x 13

143 = 1 x 11 x 13

Step-by-step explanation: There are no HCF's except 1. So 1 is the highest common factor. HCF ( 77, 91 143 ) = 1

Hope this helped you!

Answer:

HCF = 1

Step-by-step explanation:

Factors of 77 = 1,7,11,77

Factors of 91 = 1, 7, 13, 91

Factors of 143 = 1, 11, 13, 143

The Highest factor which is common in all of the factors is 1.

Index notation = [tex]1^1[/tex]

Answer:

Solution,

( 5x - 3y) ( 3x +4y)

Multiply each terms in the first parentheses by each term in the second paranthesis.

5x * 3x + 5x * 4y - 3y * 3x - 3y * 4y

Calculate the product

15x^2 + 20xy -9xy -12y^2

Collect like terms and simplify

15x^2 + 11xy -12y^2

Hope this helps...

Good luck on your assignment...

Answer:

[tex]\boxed{\red{15 {x}^{2} + 11xy - 12 {y}^{2}}} [/tex]

Step-by-step explanation:

[tex]\blue{(5x - 3y)(3x + 4y)} \\ \blue{5x(3x + 4y) - 3y(3x + 4y)} \\ \blue{15 {x}^{2} + 20xy - 9xy - 12 {y}^{2} } \\ \pink{= 15 {x}^{2} + 11xy - 12 {y}^{2} }[/tex]

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]x^2-5=-2x+3\\\\x^2+2x-8=0\\\\a=1\,,\ b=2\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{-2\pm\sqrt{4+32}}{2}=\dfrac{-2\pm\sqrt{36}}{2}=\dfrac{-2\pm6}{2}\\\\x_1=\dfrac{-2-6}2=\dfrac{-8}2=-4\\\\y_1=-2x_1+3=-2(-4)+3=8+3=11\\\\(-4\,,\ 11)\\\\x_2=\dfrac{-2+6}{2}=\dfrac{4}2=2\\\\y_2=-2x_2+3=-2\cdot2+3=-4+3=-1\\\\(2\,,\ -1)[/tex]

Answer:

The correct option is;

ASA

Step-by-step explanation:

The given information are;

1. ∠A ≅ ∠D,                                    1. Given

2. [tex]\overline{CD}\left | \right |\overline{AB}[/tex],                                   2. Given

3. [tex]\overline{CB}\cong \overline{BC}[/tex],                                  3. refl. prop.

4. ∠ABC ≅ ∠ DCB,                        4. Alt int. ∠s are ≅

5. ΔABC ≅ ΔDCB,                         5. Angle Side Angle ASA rule of congruency        

The conditions for two triangles to be congruent includes;

1. All sides equal or SSS rule

2. Side Angle Side or SAS rule

3. Angle Side Angle or ASA rule

4. Angle Angle Side or AAS rule

5. Right angle Hypotenuse Side or RHS also known as Hypotenuse Leg, HL rule

Answer:

-11x+8 or 8-11x

Step-by-step explanation:

Answer:

(B) There is no solution.

Step-by-step explanation:

Given the two lines A and B where:

[tex]L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.[/tex]

The correct option is B.

Answer:

A

Step-by-step explanation:

Just took test, can I have Brainliest.

Answer:

y = -x -7

Step-by-step explanation:

-5 = -1(-1) + b

-7 = b

y = -x -7

Answer:

y=−x−6

Step-by-step explanation:

b=−5−(−1)x(−1)=−6.

so  y=mx+b.

y=−x−6.

Answer:

The slope of the line is m=−1.

The equation of the line in the slope-intercept form is y=−x−6.

Answer:

Option A, y=8

Step-by-step explanation:

If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)

Also,

If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8

Hope that helps!!

Answer:

The answer is B.

Step-by-step explanation:

You can expand it in a simplier way using :

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

So for this question :

[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]

Answer:

B. 25x^2+70x+49

Step-by-step explanation:

To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).

So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.

Answer:

x^4 -3x^3 - 18x^2

Step-by-step explanation:

f(x)= x-6

g(x)=x^2(x+3),

g(x) * f(x) = (x-6) * x^2(x+3)

                = x^2 ( x-6) ( x+3)

FOIL

                = x^2 ( x^2 +3x-6x-18)

 Combine like terms

                = x^2 ( x^2 -3x-18)

   Distribute

               = x^4 -3x^3 - 18x^2

Answer:

x⁴ - 3x³ - 18x²

Step-by-step explanation:

g(x) × f(x)

(x²(x + 3)) × (x - 6)

Expand brackets.

(x³ + 3x²)(x - 6)

x³(x - 6) + 3x²(x - 6)

x⁴ - 6x³ + 3x³ - 18x²

Combine like terms.

x⁴ - 3x³ - 18x²

Answer:Are there any options?

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

Two or more expressions with an Equal sign is called as Equation.

We need to find two numbers whose product is  1/4 and add to -1.

Let the two numbers are x and y.

By given,

Two numbers multiply to 1/4

xy=1/4

Two numbers add to -1

x+y=-1

Let x=-y-1

Substitute in equation 1.

(-y-1)y=1/4

-y²-y-1/4=0

Multiply negative on both sides

y²+y+1/4=0

Use quadratic formula

b=1,c=1/4,a=1

y=-1±√1-1/2=-1/2

Now substitute y in x+y=-1

x-1/2=-1

x=-1+1/2

x=-1/2

Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

El ascensor recorrió unos 39 metros

Step-by-step explanation:

Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:

metros desde el primer piso al quinto piso=3 metros*4=12 metros

metros desde el quinto piso al segundo piso=3 metros*3=9 metros

metros desde el segundo piso al octavo piso=3 metros*6=18 metros

Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros

metros que recorrió el ascensor=39 metros

El ascensor recorrió unos 39 metros

Answer:

Step-by-step explanation:

[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]

Move the variable to L.H.S and change its sign:

[tex]0.6y - 0.28y + 0.8 =1.12[/tex]

Move the constant to R.H.S and change its sign:

[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]

Calculate

[tex]0.32y = 0.32[/tex]

Divide both sides of the equation by 0.32

[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]

Calculate

[tex]y = 1[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Hello!

`~~~~~~~~~~~~~~~~~~~~

0.6y + 0.8 = 0.28y + 1.12 =

[tex]y = 1[/tex]

~~~~~~~~~~~~~~~~~`~~~

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you. Brainliest would be nice!

☆_________________❤︎_________________☆

Answer:

(f - g)(x) = -x² + 2x + 8

Step-by-step explanation:

Step 1: Plug in variables

2x + 1 - (x² - 7)

Step 2: Distribute the negative

2x + 1 - x² + 7

Step 3: Combine like terms

-x² + 2x + 8

Answer:

  -x^2 +2x +8

Step-by-step explanation:

F(x) = 2x+1

g(x) =x^2-7

(f-g) (x) =2x+1  - ( x^2 -7)

   Distribute the minus sign

           = 2x+1 -x^2 +7

           -x^2 +2x +8