Brad's science class is heading to Skylight Observatory on a field trip. The observatory offers
a group rate for students that is $4 less per person than the normal cost. There are 27
students in Brad's science class. His teacher called ahead and found that the total cost for the
class will be $378. What is the normal cost per person?

Answer:

[tex]\boxed{\bf {{No\:Solution}}}[/tex]

Step-by-step explanation:

[tex]\bf 4(9x+6)=36x-7[/tex]

Expand: Apply Distributive proprty:

[tex]\bf 36x+24=36x-7[/tex]

[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x+24-24=36x-7-24[/tex]

[tex]\bf 36x=36x-31[/tex]

[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x-36x=36x-31-36x[/tex]

[tex]\bf 0=-31[/tex]

Because the sides are not equal there is no Solution

Answer:

Yes

Step-by-step explanation:

Both legs of an isosceles triangle are congruent so they can be made to say that one leg=the equation of the other leg.

Answer:

Step-by-step explanation:

Convergent:  Two plates are coming together.  This results in one or both edges of the plates to move upwards to form mountains.  If one plate is pushed down while the second is pused up, a deep trench may form (ocean trenches).  Volcanoes and earthquakes may also form along this boundary.  The Pacific "Ring of Fire" is due to convergent plate collisions.

Divergent: Divergent boundaries occur when two plates move away from each other. Earthquakes and volcanoes are common as the growing gap allows magma to comes to the surface.  Iceland is divided between the North American and Eurasian plates and this has produced an ever-widenng gap down the center of the country, which is both a major tourist attraction and a source for volcanic activity and numerous hot spring pools.  One bridge across this gap is known as the "Bridge Between Continents," and is designed to accomodate the Xcm/year stretch as the continents separate even further.

Transform:  Two plates slide past each.  The San Andreas fault is one of the more famous.  Structures, both natural and man-made, that cross a transform boundary can be split into pieces and moved in opposite directions. Rocks along the boundary are pulverized as the plates grind them.  This can result in a linear fault valley or undersea canyon. Earthquakes are common along these faults. Unlike convergent and divergent boundaries, crust is cracked and broken at transform margins, but is not created or destroyed as with convergent and divergent boundaries.

Answer:

The number is 22

Step-by-step explanation:

let x = the number

[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]

let's factor out x from the left hand sid

Answer:

nine divided by 2 plus negative eight

Step-by-step explanation:

9/2=4.5

4.5+(-8)= -3.5

Step-by-step explanation:

= 9/2 + -8/1

= 9/2 + 16/2

= 9 + (-16)/2

= -7/2

Answer:

$ 6,500

Step-by-step explanation:

(52,000)(0.075)+(52,000)(0.05) = 3,900 + 2,600

= 6,500

Answer:

439

Step-by-step explanation:

1700/4=425

15-1=14

425+14=439

Answer:

Step-by-step explanation:

Number of students = 120

Number of those prefer hamburgers:

Number of hamburgers ordered:

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c} \boxed{\bf hamburgers } & \boxed{\bf hot \ dogs } &\boxed{\bf Students } \\ 65\%& (100-65)=35\% & 120 p \\ \end {array }}[/tex]

Each person is given 2 burgers or 2 hot dogs

Then :

120*2*0,65=156  hamburgers

Answer:

y and 65 is equal

y= 65°

....................

Answer:

14.4 dollars

Step-by-step explanation:

If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars

This relationship is a function because the plant body can be of only one particular height at a time.

A function can be defined as a relationship between a set of inputs having only one output each. In other words, a function is basically a relationship between inputs and outputs; where each input is related to only one output at a time. Functions are said to occur when the recorded value of x is varied each time. Since we know that the height of the plant (the x-value) varies by each day, Therefore it is a function.

thus we can conclude that the correct option for the relationship between the height of the plant and the number of days is option D, which tells that this relationship is a function because the plant body can only be of one particular height at a time.

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Answer:

Assuming you mean 7 divided by 9/7, the answer would be 5 4/9. If you can clarify your question though if I'm wrong, I'd love to redo the problem and get you the right answer! ^-^

Step-by-step explanation:

Answer:

19 = x

Step-by-step explanation:

1=x-18

Add 18 to each side

1+18=x-18+18

19 = x

Answer:

Step-by-step explanation:

Divide the total by number of people to find the unit rate:

Answer:

[tex]\sf\longmapsto \frac{5}{18}pounds \:per\: person [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{5}{6} : 3[/tex]

[tex]\sf\longmapsto \frac{5}{18} pounds \:per\: person [/tex]

The answer should be:

x = 5

So the answer is basically 5

Answer:

More and more of product AB but limited to the amount of B

Step-by-step explanation:

Adding more of one substance which makes up the reactant will increase the number of product AB that will be obtained but limited by the amount of B.

The amount of reacting substances is directly proportional to the amount of product yield. This means that adding more and more of the substance which makes up the reactant increases the amount of atoms reacting to form a product.

Hence, adding more and more of only substance A will increase the product AB, however, the amount of B in the product will be limited.

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(7a*2b)+3c=3c+(7a*2b) the property for the given expression is Option A) Commutative Property of Addition.

The given expression is (7a*2b) + 3c = 3c + (7a*2b). This equation demonstrates the Commutative Property of Addition.

The Commutative Property of Addition states that the order in which numbers are added does not affect the result.

In mathematical terms, it can be written as: a + b = b + a.

In your expression, you have terms involving both addition and multiplication. However, since addition is involved on both sides of the equation, we can focus on the addition aspect.

(7a*2b) + 3c = 3c + (7a*2b)

First, we can rearrange the terms on the left side:

7a*2b + 3c = 3c + 7a*2b

Now, observe that the terms on both sides of the equation are the same: 7a*2b and 3c.

They are just arranged in a different order. This aligns with the Commutative Property of Addition, which says the order of addition doesn't matter.

Therefore, the expression is an illustration of this property, and the correct answer is the Commutative Property of Addition (A).

In summary, the expression shows that changing the order of terms within an addition does not change the result, thus demonstrating the Commutative Property of Addition.

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Answer:

15.14 cm^2

Step-by-step explanation:

Area of rectangle = 4cm x 3 cm = 12cm^2

Radius of the circle = 2 cm

Area of 1/4 of a circle = (pi x r^2) / 4

= (3.14 x 4) / 4 = 3.14 cm^2

3.14 cm^2 + 12cm^2 = 15.14 cm^2

Answer:

y=8x

Step-by-step explanation:

hubsdgvgcsvya

The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Larsen wants to get some markers for her class.

She notices that they come in boxes of 8.

Now,

Let total number of markers = y

And, Number of boxes = x

Here, She notices that they come in boxes of 8.

So, We can formulate;

⇒ y = 8x

Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

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Answer:

-24

Step-by-step explanation:

[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]

1) 4<7

×7 ×7

28<49

×6 ×6

168<294

×3 ×3

504<882

×10 ×10

5040<8820

2) 11>-2

+5 +5

16> 3

+3 +3

19>6

+-4 +-4

15>2

3) -4<-2

-6 -6

-10<-8

-8 -8

-18<-16

-2 -2

-20<-18

4) -8<8

÷-4 ÷-4

2<-2

÷-2 ÷-2

-1< 1

5) ~The affect of the inequality sign didn't change. If you add or subtract the same positive or negative number to both sides of an inequality or an equation, the inequality stays the same. If you multiply or divide both sides of an inequality or an equation by the same positive number, the inequality stays the same. This is because when manipulating inequalities there are rules this if a < b then a + c < b + c so we get a new number that replaces a and b yet the inequality symbol stays the same so a still is smaller than b.

Hope this helped you- have a good day bro cya)

Answer:

YOOOO I LOVE YOUR PROFILE PICTURE. SILENT VOICE IS SO SAD BUT SO GOOD <3 :D

Answer:

6

Step-by-step explanation:

Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).

Answer:

x²+7x+12

Step-by-step explanation:

x*x=x²

x*4=4x

3*x=3x

4x+3x=7x

3*4=12

=x²+7x+12=0

Answer: ^2 + 7 + 12

Step-by-step explanation:

(x + 4)(x + 4)

( + 4)+3( + 4)

( + 4)+3( + 4)

^2 + 4 + 3( + 4)

^2 + 4 + 3 + 12

^2 +7 +12

Answer:

126

Step-by-step explanation:

i don't know if it's correct or not

Answer:

482.3

Step-by-step explanation:

because 137.8 times 3.5 is

482.3

Answer:

Slope-intercept form:

y = -7/9x - 8/3

The slope:

m = -7/9

Picture is of it graphed

Answer:

4

Step-by-step explanation:

AB=AC

2x-3=x+3

x=6

______________________________

BC=

x-2

(6)-2=4

Answer:

A

Step-by-step explanation: