There has been a break in at the local museum

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 11

g(x) = -5

Step 2: Solve for x

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Answer:

That is;

{25,45,65}

Step-by-step explanation:

Here, we want to find the set of A n B

That is the set that contains values that are present in both sets A and B

Mathematically, that will be;

{25,45,65}

Answer:

you put 3x and 9 on the left side of the box then you put 5x and 9 on the top of the box then you multiply 3x and 5x which is 8x and you put that in your first square... then you do the same its a pattern did i explained ok or good..

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It pretty easy, I just estimate and it should be fine

water melons is >4 (15/3=5)

cereal is <4  (16/4=4 but its 20 cents less so the greatest that could happen is a 2 cent or 5 cent off but either way It’s still less than 3.99)

Pretelzels is <4 (11/3=3 2/3 which is les than 3.99)

icecream is >4 (19/4=4.75)

Answer:

Boxes of ceral and bags of pretzels

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

[tex]FH=8+14=22[/tex]

Answer:

FH = 22

Step-by-step explanation:

The equation will be,

→ FH = FG + GH

Then the value of FH will be,

→ FH = 8 + 14

→ [ FH = 22 ]

Hence, the value of FH is 22.

Answer:

g(n) = n2 + 2

g(3) = (3)(2) + 2

g(3) = 8

Answer:

if g(n)=n2+2

you asked g(3)

by substituting the value we get

g(3)=3×2+2

g(3)=6+2

g(3)=8

so the answer is 8

hope it helps you mate

please mark me as brainliast.....

The two irrational roots of the cubic equation are - 2 + √3 and - 2 - √3, respectively.

In this problem we find the definition of a cubic equation, of which one root is known and we need to find the two missing roots. By algebraic handling, the cubic equation is:

f(x) = x³ + 7 · x² + 13 · x + 3

f(x) = (x³ + 3 · x²) + (4 · x² + 12 · x) + (x + 3)

f(x) = x² · (x + 3) + 4 · x · (x + 3) + (x + 3)

f(x) = (x² + 4 · x + 1) · (x + 3)

Then, the roots of x² + 4 · x + 1 are found by using the quadratic formula:

x² + 4 · x + 1 = (x + 2 - √3) · (x + 2 + √3)

To learn more on cubic equations: https://brainly.com/question/1727936

#SPJ1

Answer:

4) F and D are similar but not congruent.

Step-by-step explanation:

HOPE THIS HELP

PICK ME AS THE BRAINLIEST

Answer:

1) D and E are similar but not congruent

Step-by-step explanation:

This is because for it to be congruent they have to have the same size.

Answer:

1. x= -3

2. x= 20

Step-by-step explanation:

sorry if this is wrong,

umm I don't remember I would say if I remembered

Answer:

-4 + 5x - 7 = 10 + 3x - 2x

5x - 3x + 2x = 10 + 4 + 7

4x = 21

x = 21/4

x = 5 1/4 or 5.25

Answer: 5=x

Step-by-step explanation:

-4+5x-7=10+3x-2x

Combine like terms:

-10+5x=10+x

Subtract 10 on both sides:

-10-10+5x=10-10+x

-20+5x=x

Subtract 5x on both sides:

-20+5x-5x=x-5x

-20=-4x

Divide -4 on both sides:

-20/-4=-4x/-4

5=x

Answer:

Cannot be determined

Step-by-step explanation:

You get that angles 4 + 5 and 2 + 1 are equal to 180 each. We still have angle 3 left over, and that angle could be anything, so it cannot be determined

Answer:

well 4+5=180°, 1+3=180°, that's 360, so I guess can't be determined since there's still another angle???

Step-by-step explanation:

idk, the answer choices could be wrong or im just wrong

Answer:

fdsvStep-by-step explanation:

Answer:

2^17

Step-by-step explanation:

the indices are added when the integers are multiplied. the integer, however, does not need to be changed since it is already the same.

Answer:

Step-by-step explanation:

In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:

[tex]x^2-2x=3[/tex]

Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2.  Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:

[tex]x^2-2x+1=3+1[/tex]

Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is

[tex](x-1)^2=4[/tex] (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:

[tex]y=(x-1)^2-4[/tex]

From this it's apparent what the vertex is: (1, -4),

the axis of symmetry is x = 1, and

the y-intercept is found by setting the x's equal to 0 in the original  equation and solving for y. So the y-intercept is (0, -3).

Your choice for the correct answer is the very last one there.

9514 1404 393

Answer:

  marked price = Rs. 3900

Step-by-step explanation:

The difference between the discounts is 30% -20% = 10% of the marked price. The difference in Rs is 120 -(-270) = 390. If Rs. 390 is 10% of the marked price, then the marked price is (Rs. 390)/(0.10) = Rs. 3900.

The marked price is Rs. 3900.

_____

Check

A 20% discount from 3900 is a price of 3120. If the profit is 120, the cost price is 3000. A 30% discount from 3900 is 2730. This is 270 below the 3000 cost price, so our answer is consistent with problem requirements.

Answer:

the answer is x^2+8x+ c

Step-by-step explanation:

If  x 2 + b x + c  is a perfect square, then there is always the same relation ship between  b and c "Find half of  b  and square it" , so  c = ( b /2 ) ^2

 x^ 2 + 8 x + ( 8/ 2 )^2  =

x^ 2 + 8 x + 4^ 2 =

x^ 2 + 8 x + 16  =

( x + 4 ) ^2

I hope that helps you

Answer:

9.7

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x \approx 9.7}}[/tex]

Step-by-step explanation:

This is a right triangle, which we know because of the square in the corner of the triangle. We can use the right triangle trigonometric ratios.

[tex]sin( \theta) =opposite/hypotenuse[/tex]  and [tex]cos (\theta) = adjacent /hypotenuse[/tex] and [tex]tan (\theta)=opposite/adjacent[/tex]

First, identify each side of the triangle as adjacent, opposite, or hypotenuse, relative to the 68 degree angle.

The x is next to, or adjacent, to the angle. The 24 is opposite. We are not given the hypotenuse.

[tex]adjacent= x \\opposite= 24 \\hypotenuse= unknown[/tex]

Since we have the adjacent and opposite, we must use tangent.

[tex]tan (\theta)=\frac{opposite}{adjacent}[/tex]

Substitute the values in. The theta (θ) is the angle.

[tex]tan (68)=\frac{24} {x}[/tex]

Solve for x. One way is by cross multiplying.

[tex]\frac{tan(68)}{1}=\frac{24}{x}[/tex]

Multiply the 1st numerator by the 2nd denominator. Then, multiply the 1st denominator by the 2nd numerator.

[tex]tan (68)*x=1*24[/tex]

[tex]tan(68)*x=24[/tex]

Evaluate tan(68) using a calculator.

[tex]2.47508685*x=24[/tex]

Divide both sides of the equation by 2.47508685. This will isolate the variable x. ( We divide because multiplication is occurring between 2.47508685 and x, and division is the inverse of multiplication).

[tex]\frac{2.47508685*x}{2.47508685}=\frac{24}{2.47508685}[/tex]

[tex]x=\frac{24}{2.47508685}[/tex]

[tex]x=9.69662943[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round up. The 6 becomes a 7.

[tex]x \approx 9.7[/tex]

In this right triangle, x is equal to about 9.7

Answer:

I would say 4 more miles than you each week

Step-by-step explanation:

Answer:

a= -12

Step-by-step explanation:

Answer:

55 i believe

28 + 27 = 55

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

Answer:

6(1/4) or (25/4) pounds

Step-by-step explanation:

      1       1(1/4)  1(1/2)   1(3/4)          2

<-----|---------|---------|------------|-----------|---->

      X         X        X             X            X

      X         X                                      X

                  X

                  X

                  X

1(1/4) or (5/4)

(5/4) x 5 = 6(1/4) or 25/4 pounds

I hope this helps!

Answer:

12 days

Step-by-step explanation:

Let the amount of work be x.

John:

6 days = x

1 day = [tex]\frac{1}{6}[/tex]x

Together:

4 days = x

1 day = [tex]\frac{1}{4}[/tex]x

Marsha:

1 day = [tex]\frac{1}{4}[/tex]x - [tex]\frac{1}{6}[/tex]x

        = [tex]\frac{6}{24}[/tex]x - [tex]\frac{4}{24}[/tex]x

        = [tex]\frac{2}{24}[/tex]x

        = [tex]\frac{1}{12}[/tex]x

Marsha can do [tex]\frac{1}{12}[/tex] of the work in 1 day.

No. of days taken (Marsha) = x ÷ [tex]\frac{1}{12}[/tex]x

                                             = 12

Answer:

No

Step-by-step explanation:

substitute the coordinates of the point into the left side of the inequality and check the value obtained against the right side.

5(2) + 4(2) = 10 + 8 = 18 < 20

then (2, 2 ) does not make the inequality true

Answer:

8,250

Step-by-step explanation:

10 to the power of 2 is 100, move the decimal 2 spaces to the right.

Answer:

Hi, i think the answer would be the third option, 8,250.

Step-by-step explanation:

You do the exponents first in this equation according to the acronym PEMDAS. 10 to the second power is 100, so now you have

82.5 × 100

This would be equal to moving the decimal point two spaces to the right, giving us 8,250 as the answer

Answer:

3/12 or 1/4

Step-by-step explanation:

To do this you can just increase the denominator by 1, at least for this question

3/11 is around 0.27, while 3/12 is 0.25. 2/11 is 0.19, which is smaller than 0.25, so

3/12 is a justificable answer.