There are 126 students in theater at a school. On a certain day, 94 of the students in choir went on a field trip. What percent of student stayed at school instead of going on the field trip? Round to the nearest whole percent.

Answer:

1) 18b - 3c - 10

2) [tex]1\frac{3}{4}[/tex]g + 7

3) 0.3y

4) -4n - 5

Step-by-step explanation:

1) 16b + 5c - 10 - 8c + 2b

like terms: 16b + 2b = 18b

like terms: 5c - 8c = -3c

like terms: -10

simplified: 18b - 3c - 10

____________

2) 1/2g + 2g - 3/4 g + 7

like terms: 1/2g + 2g - 3/4g

2 1/2 - 3/4

improper fraction > 5/2 > same denom > 10/4

10/4 - 3/4 = 7/4 > mixed number> 1 3/4g

like terms: +7

simplified: 1 3/4g + 7

____________

3) -0.9y + 4.4y - 3.2y

like terms:  -0.9y + 4.4y - 3.2y

simplified: 0.3y

____________

4) 4 - 8n + 7n - 3n - 9

like terms: -8n + 7n - 3n = -4n

like terms: 4 - 9 = -5

simplified: -4n - 5

____________

Answer:

Step-by-step explanation:

Solve each inequality in the system:

The solution is:

The integer solution set is:

[tex]\\ \rm\rightarrowtail 3-2a<13[/tex]

[tex]\\ \rm\rightarrowtail -2a<10[/tex]

[tex]\\ \rm\rightarrowtail -a<5[/tex]

[tex]\\ \rm\rightarrowtail a>-5[/tex]

And

[tex]\\ \rm\rightarrowtail 5a<17[/tex]

[tex]\\ \rm\rightarrowtail a<17/5[/tex]

[tex]\\ \rm\rightarrowtail a<3\dfrac{2}{5}[/tex]

So

solution set

[tex]\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)[/tex]

So

One lily is $9

One shrub is $11

Step-by-step explanation:

Let the lillies be x

Let the shrub be y

2x + 6y= 84.........i

6x + 6y = 120..........ii

Lets make x the subject formula in eq(I)

2x= 84- 6y

x = 42 - 3y........iii

Put the value of x into eq (ii)

6(42-3y) + 6y = 120

252 - 18y + 6y= 120

252 - 12y= 120

12y= 252-120

12y= 132

Y= 11

Put the value of Y into eq (I)

2x + 6(11)= 84

2x + 66= 84

2x= 18

X= 9

Therefore,the cost of one day lily is $9 and the cost of one shrub is $11.

The function y = √(x + 2) + 3 is a quadratic function. Then the correct optin is A.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The equation is given below.

[tex]y = (x+2)^{1/2} + 3[/tex]

The equation can be written as

[tex]y - 3= (x+2)^{1/2}[/tex]

Square on both sides, we have

[tex]\begin{aligned} (y - 3)^2 &= [(x+2)^{1/2}]^2 \\\\x + 2 &= y^2 + 9 -6y \\\\x &= y^2 -6y +7 \end{aligned}[/tex]

The equation is a quadratic equation.

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Answer:

A) Quadratic

Explanation:

Hope you have a great day!

Answer:

that is 4.6 m that the answer

Answer:

(-4, 1)

Step-by-step explanation:

Coordinates on the plane are written (x, y), meaning you write where the point is located on the x-axis (across) and then you write where the point is located on the y-axis (up and down).

You can see that A's location on the x-axis is -4, so now we have (-4, y). We can also see that A's location on the y-axis is 1, so we have (-4, 1) as our coordinates of A.

I hope this helps! Have a lovely day!! :)

Answer:

Angles x and y measure 115°. Angle Z measures 65°.

Step-by-step explanation:

Since a rhombus is a parallelogram, opposite angles are congruent, and consecutive angles are supplementary.

The measure of the angles x, y, and z will be 115°, 115°, and 65°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The adjecent angle of the rhombus is supplementary. Then the value of 'x' is given as,

65° + ∠x = 180°

∠x = 180° - 65°

∠x = 115°

The opposite angle of the rhombus is congruent to each other.

∠y = ∠x

∠y = 115°

∠z = 65°

The measure of the angles x, y, and z will be 115°, 115°, and 65°, respectively.

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Answer: 297 in.^2

Step-by-step explanation:

Area of a triangle: b*h/2 ---> (9*12)/2=544 triangles--->4*54(area of triangle)= 216Area of square: b*h ----> 9*9 = 81Add area of all four triangles plus are of square-----> 216+81 = 297 in.^2

Answer: 2d+3<=9

Step-by-step explanation:2 times a number is 2d plus 3 is +3 less than or equal to is <=

Answer:

D. 15(4a + 3)

Step-by-step explanation:

15 is the least possible factorisation for both sides, therefore D is the most efficient on of all of them

Using the GCF and Distributive property, the expression can be factorized as, d. 15 (4a + 3).

GCF is the abbreviated form for Greatest Common Factor.

As the name suggests, GCF of two or more numbers or expressions is the greatest of all the common factors of them.

The given expression is 60a + 45.

Distributive property for 3 numbers, a, b and c states that,

a (b + c) = ab + ac

There are two terms here 60a and 45.

We can find the GCF using Prime factorization.

60 = 2 × 30

     = 2 × 2 × 15

     = 2 × 2 × 3 × 5

45 = 3 × 15

    = 3 × 3 × 5

Common factors are 3 and 5.

GCF = 3 × 5 = 15

60a + 45 = (15 × 4a) + (15 × 3)

               = 15 (4a + 3)    [Using the distributive property]

Hence the factorized form is 15 (4a + 3)  

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is the sign that you mean ÷ ?

if so:

-3×7÷5×1/7

= -21÷5×1/7

=-21/5 × 1/7

= (-21×1) / (5×7)

= -21/35

=-3/5

=-0.6

Answer:

  -2 and 1

Step-by-step explanation:

The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.

__

Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...

  10x +5y = -15

The second relation tells us ...

  6x +2y = -10

We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:

__

We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:

  (3x +y) -(2x +y) = (-5) -(-3)

  x = -2 . . . . . . . . . . simplify

  2(-2) +y = -3 . . . . substitute for y

  y = 1 . . . . . . . . . . add 4

The two numbers are -2 and 1.

Answer:

b) angle bisector of angle ABC

Answer:

Surface Area: [tex]18ft^3[/tex]

Volume: [tex]44ft^2[/tex]

Step-by-step explanation:

Volume Formula --> base * height

[tex](4.5 * 2) * 2 = 9*2=18ft^3[/tex]

Surface Area Formula --> 2(width*length + height*length + height*width)

[tex]2((2*4.5) + (2*4.5)+(2*2)) = 2(9+9+4) = 2(22) = 44ft^2[/tex]

Answer:

Volume = 18 ft³

Surface area = 44 ft²

Step-by-step explanation:

Volume

Volume of a cuboid = base length × base width × height

Given:

Substitute given values into formula:

⇒ Volume = 4.5 × 2 × 2 = 18 ft³

Surface Area

Surface area = 2(base width × height) + 2(base length × height) + 2(base length × base width)

                      =2(2 × 2) + 2(4.5 × 2) + 2(4.5 × 2)

                      = 8 + 18 + 18

                      = 44 ft²

Answer:

Step-by-step explanation:

a and b are parallel lines. So, alternate interior angles are congruent.

∠2 = 64.8°

∠3 = 30.5°

Sum of all angles of triangle  = 180

∠1 + ∠2 + ∠3 = 180

∠1 + 64.8 + 30.5 = 180

           ∠1  + 95.3 = 180

                       ∠1 =  180 - 95.3

                        ∠1  =  84.7°

Answer: B is correct

Step-by-step explanation:

if you do 2 ÷ 5 you get 0.4. But that isn't an option. So, the only other possibility would be -2 ÷ 5 which gives us -0.4, and that makes sense.

I'm not the greatest at explaining this one but hopefully, this helps!

Answer:

i did this on study island

Step-by-step explanation:

[tex]\sf Potassium \ : \ 2.2 * 10^{-7}[/tex]

[tex]\sf Argon \ : \ 7.1 * 10^{-8}[/tex]

[tex]\sf Boron \ : \ 8.5 * 10^{-8}[/tex]

[tex]\sf Silver \ : \ 1.6 * 10^{-7}[/tex]

greatest to least :

The order is

Shortcut trick :-

The nature of atomic radii in. periodic table

Answer:

x = 5,-3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

See attachments

Step-by-step explanation:

Hope this helps! (I hope you can open them)

The speed at which Erin drove from the given parameters was calculated as; 35 mph

Let Erin's speed rate be X. Now, since it took erin 21 miles, then;

Erin's time = 21/X

Now, erin's speed was 10 mph faster than Brent's speed. Thus;

Brent's speed = (X - 10) mph

Thus, Brents time = 15/(x - 10)

Now, since they took the same time, then we know that;

21/x = 15/(x - 10)

15x = 21x - 210

6x = 210

x = 210/6

x = 35

Thus, Erins speed = 35 mph

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Answer:

I think 2(x^2−y^2)=3x

Answer:

Its 2(x^2-y^2)=3x

According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.

The table shows the population density of some states in which the number of people and the area of that state are mentioned.

Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.

On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.

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Answer:

20

Step-by-step explanation:

It is stated that the triangles in the figure are similar:

We can use the side lengths' proportions to find the length of TY

UT/ZY = XT/TY

(9.6)/16 = 12/TY cross multiply expressions:

192 = (9.6)TY divide both sides by 9.6

20 = TY

Answer:

[tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Step-by-step explanation:

The equation of hyperbola is given by:

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} }[/tex]

Where [tex]c^{2} =a^{2} +b^{2}[/tex]

∵ [tex]a=8,c=20[/tex]

∴ [tex]b^{2} =c^{2} -a^{2}[/tex]

⇒ [tex]b= \sqrt{20^{2} -8^{2} } =4\sqrt{21}[/tex]

Now, [tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{8^{2} } -\frac{y^{2} }{y(4\sqrt{21} )^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hence, equation is [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hope this helps,

ROR

Answer:

39

Step-by-step explanation:

You find the area by multiplying the length times the height which is what I did 13 x 3 = 39

Question: calculate the measure of angle JKL, i.e. mJKM+mMKL

Answer:

78°

Step-by-step explanation:

angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°.  Thus

mJKM = 76/2 = 38°

angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°,  Thus

mMKL = 80/2 = 40°.

Therefore angle JKL = 38°+40° = 78°.

The magnitude of the total velocity of the boat is 38 knots, and the direction is 32°, so the correct option is d.

First, we need to write need to find the component of the two given velocities.

For the boat, the magnitude is 28 knots and the angle is 36°, then the components are:

For the wind, the components are:

Adding these, the total components of the boat's velocity are:

Then the magnitude of the velocity is:

|V| = √( (31.92 knots)^2 + (20.21 knots)^2)  =37.78 knots

That can be rounded to 38 knots

To get the angle, we take the arctangent of the quotient between the y-component and the x-component:

a = Atan(20.21 knots/31.92 knots) = 32.34°

Then the correct option is d) 38 knots and 32°

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Answer:

It is 38 knots; 32 degrees

Step-by-step explanation:

The answer below is right

I took the test

Answer:

x = -2, y = 10

Step-by-step explanation: