Students bought 32 copies of Amazing Science for a total cost of $95.36 and 32 copies of Sci-Fi for a total cost of $110.40. If each student bought 1 copy of each magazine, how much did each student spend?

Answer: C

Step-by-step explanation:

Given

[tex]\frac{5}{4}(a-8)=\frac{2}{3}[/tex]

Multiply both sides by (4/5)

[tex]\frac{5}{4}(\frac{4}{5})(a-8)=\frac{2}{3}(\frac{4}{5})[/tex]

[tex]a-8=\frac{8}{15}[/tex]

Add 8 on both sides

[tex]a-8+8=\frac{8}{15}+8[/tex]

[tex]a=\frac{8}{15} + \frac{120}{15}[/tex]

[tex]a=\frac{128}{15}[/tex]

[tex]a=8\frac{8}{15}[/tex]

Hope this helps!

Please let me know if you have any questions

Answer: 122?

Step-by-step explanation: i used a protractor (im not the best at that though but im 89% sure i'll be honest

Answer:

TH ANSWER IS 32

Step-by-step explanation:

Answer:

no C

(25×4)+15

because out of 25 students each students brought 4 stamps which means 25×4 and their teacher brought 15 which is added .

Answer:

C

Step-by-step explanation:

there are 25 students and they EACH brought 4. Each means you multiply. so we have 25x4. then Mr. Miller brought 15 more stamps so we need to add that to the equation. so we have (25x4) because that is separate from the 15.

(25x4)+15

Answer:

[tex]\frac{-3}{20}k+ \frac{29}{36}m[/tex]

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

4 cubed is 64 and 64-25 is 39

Good luck!

After solving the given expression, the value obtained for the difference between 4³ and 25 will be equal to 39.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given statement in the question,

The difference between 4³ and 25 will be,

4³ = 64

Then,

64 - 25 = 39

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Answer:

-5

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

(6x+10)+(x+17)+(4x-34)=180(being sum of all angle of a triangle)

Answer: x= 4.5, y=3.6, z=6.5

Step-by-step explanation:

To find : x, y and z.

First label the triangle as A,B,C and D (as in the picture below).

ΔABC , ΔACD and ΔABD both are right triangles.

In ΔABC ,

[tex]y^2=3^2+2^2[/tex]        [By Pythagoras theorem]

[tex]\Rightarrow\ y^2=13\\\\\Rightarrow\ y=\sqrt{13}\approx3.6[/tex]

In ΔACD ,

[tex]AD^2=3^2+x^2\\\\\Rightarrow\ AC^2=9+x^2 \ \ ...(i)[/tex]        [By Pythagoras theorem]

In ΔABC ,

[tex]y^2+AC^2=(2+x)^2\\\\\Rightarrow\ AC^2=(2+x)^2-y^2\ \ ...(ii)[/tex]

From (i) and (ii), we get

[tex]9+x^2=(2+x)^2-y^2\\\\\Rightarrow\ 9+x^2=4+x^2+4x-(3.6)^2\\\\\Rightarrow\ 9=4+4x-12.96\\\\\Rightarrow\ 4x=9-4+12.96\\\\\Rightarrow 4x= 17.96\\\\\Rightarrow\ x=\dfrac{17.96}{4}\\\\\Rightarrow\ x=4.49\approx4.5[/tex]

Z = 2+x= 2+4.5 =6.5

Hence, x= 4.5, y=3.6, z=6.5

Answer:

y=-2/3x+8

Step-by-step explanation:

Answer:

should be reflection

Step-by-step explanation:

bc a translation would just move it and rotation and dilation wouldn't work either

The single transformation was applied to triangle A to get triangle B is a reflection, in which A is reflected around the y-axis.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The triangles A and B are shown in the given figure,

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original,

Rotation is the process of going around a center.

A shape is translated when it is moved up, down, left, or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes.

Thus, triangle A is reflected as B.

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Answer:

g-2

Step-by-step explanation:

Original expression: 21g-8-20g+6

Move like terms next to each other: 21g-20g-8+6

Simplify: g-2

Let me know if this helps!

Answer:

Step-by-step explanation:

Here you go mate

Step 1

21g - 8 - 20g + 6  Equation/Question

Step 2

21g - 8 - 20g + 6  Simplify

21g - 8 - 20g + 6

Step 3

21g - 8 - 20g + 6  Combine terms

(21g+-20g)+(-8+6)

Step 4

(21g+-20g)+(-8+6)  Add them

Answer

g-2

Hope this helps

Answer:

For example, the conjugate of 0 + √3 is 0 - √3, the conjugate of -√3 is √3, and the conjugate of 2 - 5√3 is 2 + 5√3.

Step-by-step explanation:

The complex conjugate of the root x = 3i will be x = -3i.

The complex conjugate of a complex number is the number that has equal real and imaginary parts that are opposite in sign but equal in magnitude.

A given complex function is x = 3i

As we know that the complex conjugate function is one in which the imaginary part of the function becomes negative.

The complex conjugate function will be:-

x = -3i

Therefore the complex conjugate of the root x = 3i will be x = -3i.

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Answer:

im a 100% sure the answer is

Step-by-step explanation:

Answer:

Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.

Choice 1.

Step-by-step explanation:

Reflection over the x-axis

Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).

The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)

Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.

Choice 1.

Answer:

(-4,9)

Step-by-step explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

y=-2(-4)+1

y=8+1

add like terms

y=9

Answer:

70

Step-by-step explanation:

65+45=110

180-110=79

And all angles in a triangle add up to 180 degrees

Answer:

2.25 hours, or 2 hours and 15 minutes.

Step-by-step explanation:

All we do is 36/16 which is 2.25. 0.25 or 1/4 of an hour is 15 minutes. So, your answer is 2 hours and 15 minutes.

It takes 2 hour and 12 minutes for the cyclist to complete the ride of 36km distance.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Total distance covered by cyclist= 36km

Average speed of the cyclist = 16km/hr

Therefore, using unitary method:

                16 km distance takes time = 1hr

Therefore, 1 km distance takes time =(1/16)hr

Therefore, 36 km distance takes time = (1/16)×36 hr

                                                     =(1/4)×9 hr

                                                     =9/4 hr

                                                     =2.25 hr

                                                      =(2+0.25)hr

                                                      =2hr+0.25hr

                                                      =2hr+0.25×60minutes

                                                      =2hr and 15 minutes.

Hence, it takes 2hr and 15 minutes for the cyclist to complete 36 km rides.

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Answer:

4x+7

Step-by-step explanation:

x

2x+4

x+3

I hope this helps :)

Answer:

#4

Step-by-step explanation:

Positive Slopes go diagonally up, negative slopes go diagonally down, zero slopes go horizontally with no slant at all, and zero slopes go vertically with no slant at all.

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

==========================================================

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

Step-by-step explanation:

2b=180-40

2b=140

b=70

a=180-90-70=20°

Answer:

n = 54

Step-by-step explanation:

[tex]\frac{2}{12}=\frac{9}{n}\\[/tex]

Cross products,

2 * n = 9 *12

 2n = 108

Divide both sides by 2

[tex]n = \frac{108}{2}\\[/tex]

n = 54

Answer:

y=3

Step-by-step explanation:

30y+6/3=23

6(5y+1)/3=32

2(5y+1)=32

5y+1=32/2

32/2=16

5y=16-1

16-1=15

y=15/5

y=3

Answer: 60

Step-by-step explanation:

This is done by multiplying length x width x height (6x2x5)