An art teacher has a pack of 250 sheets of paper. The expression (25x4)+5 shows that the teacher gives each of the 25 students in an an art class 4 sheets of the paper for an art project and then uses 5 more sheets while helping students. How many sheets of paper does the art teacher have left in the pack

Answer:

502

Step-by-step explanation:

504-10=494

494+6=500

500+2=502

answer 502

Answer:

3x + 2y = 29

5x + 2y = 35

Step-by-step explanation:

Let

x = cost of one-inch binders

y = cost of two-inch binders

Rasheed:

3x + 2y = 29 (1)

Matar:

5x + 2y = 35 (2)

3x + 2y = 29 (1)

5x + 2y = 35 (2)

Using elimination method, subtract (1) from (2)

5x - 3x = 35 - 29

2x = 6

x = 6/2

x = 3

Substitute x = 3 into (1)

3x + 2y = 29 (1)

3(3) + 2y = 29

9 + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2

y = 10

Answer:

the first one is 1.667

Step-by-step explanation:

5/3=1.667

10/6=1.667

and so on

Sorry i dont know the second one

Answer:

84 degrees

Step-by-step explanation:

The two angles are supplementary (their sum is 180 degrees)

96 + b = 180

b = 180 - 96

b = 84

Answer:look it up on quizlet its easier

Step-by-step explanation:

Answer:

The mean score in the maths test for class B was 12.41 points.

Step-by-step explanation:

Given that Class A has 12 pupils and class B has 29 pupils, and both classes sit the same maths test, and the mean score for class A is 52 while the mean score for both classes is 24, to determine what is the mean score in the maths test for class B the following calculation must be performed:

52 x 12 + X x 29 = 24 x (12 + 29)

624 + 29X = 24 x 41

624 + 29X = 984

29X = 984 - 624

X = 360/29

X = 12.41

Therefore, the mean score in the maths test for class B was 12.41 points.

Answer: It's more likely it's a Tuesday

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

Explanation:

The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.

The odds of it being January is 1/12 because we have 1 month we want out of 12 total.

Now the question is: which fraction is larger?

For now, assume they are equal. We'll cross multiply like so

1/7 = 1/12

1*12 = 7*1

12 = 7

We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps

1/7 > 1/12

1*12 > 7*1

12 > 7

which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.

-----------------

Alternatively, you can use your calculator to find that:

Then for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.

The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.

Step-by-step explanation:

Step 1:

To calculate the area of the given room, we divide the unknown shape into known shapes.

The room's shape is made of 2 rectangles.

The area of a rectangle is the product of its length and its width.

One rectangle has a length of 10 feet and a width of 12 1/2 feet.

The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.

Step 2:

The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.

The area of the second rectangle (10)(4 1/2) = (5)(4.5) = 22.5 square feet.

The total area of the room = 125 + 22.5 = 147.5 square feet.

Answer:

147.5ft²

Step-by-step explanation:

10 × 12¹/₂ = 125

5 × 4¹/₂ = 22¹/₂

Total area = 125 + 22¹/₂

Total area = 147¹/₂ = 147.5

Answer:

Number of 12-packs = 14

Step-by-step explanation:

 Cost       Number of 12-packs

 3.50               1

49.00              x

        [tex]\frac{1}{x} = \frac{3.50}{49}\\\\1 \times 49 = 3.50 \times x\\\\\frac{49}{3.50} = x\\\\x = 14[/tex]

Number of 12-packs for $49 = 14

Answer:

1/4, 0.25

Step-by-step explanation:

Answer:

3/11

Step-by-step explanation:

Let Roberto's cards be x.

Let David's cards be y

x = (3/4) y

Roberto gives half his cards away which is 1/2*(3/4) = 3/8

David's new amount after the gift = 1/2(3/4)y + y = 3/8y+y=3y/8+8y/8 = 11y/8

So the ratio is Roberto / David = (3/8) // (11/8)

Roberto to David = 3/8 // 11.8 which you now invert and multiply the denominator

Roberto to David = 3/8 * 8/11 = 3/11

Done on my cell.

Answer:

Step-by-step explanation:

5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26[tex]\frac{1}{4}[/tex]

Answer:

c. po dahil Wala po Dian Ang answer

Step-by-step explanation:

sana po makatulong

Answer:

walk=34 bus =17

Step-by-step explanation:

51÷3=17 1/3 of 51=17 so add 17 and 17 togeter to get 2/3

Answer:

Step-by-step explanation:

total=51

2/3 walk

1/3 bus

[tex]\frac{2}{3}51=\frac{102}{3}=34 ~=>34~students ~walk\\\\\frac{1}{3}51=\frac{51}{3}=17~=>~17~students ~take~the~bus[/tex]

Answer: c. biofuel

Step-by-step explanation: just took test

The best alternative energy technologies is most likely to be used to power a car is bio-fuel

Bio-fuel is a type of fuel that is created quickly from biomass, as opposed to the lengthy natural processes that result in the development of fossil fuels like oil. Plants may be used to make biofuel, as well as home, commercial, and agricultural biowaste.

Given data ,

Any fuel that is made from biomass, or plant, algae, or animal waste, is referred to as a biofuel. Unlike to fossil fuels like petroleum, coal, and natural gas, biofuel is seen as a source of renewable energy due to the ease with which such feedstock material may be supplied.

In light of rising petroleum prices and growing concern about the role fossil fuels play in global warming, biofuel is frequently promoted as a convenient and ecologically friendly substitute for petroleum and other fossil fuels.

Hence , the alternative to power a car is bio-fuel

To learn more about bio-fuel click :

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Answer:

9,

Step-by-step explanation:

if you look at the pattern its just adding up all the numbers above so its nine

The radius of the given circle is 13 unit.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

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Answer:

-5

Step-by-step explanation:

Our first step is to distribute/expand in the brackets so we are able to isolate x-term.

[tex] \large{4 - 2x - 14 = 3x + 15}[/tex]

I hope you still remember that when multiplying positive with negative, it becomes negative. Then we combine like terms - we isolate the 2x by adding 2x both sides and subtract both sides by 15.

[tex] \large{4 - 2x - 14 + 2x - 15 = 3x + 15 + 2x - 15} \\ \large{ - 25 = 5x}[/tex]

Then to divide both sides by 5 so we can finally get the x-term isolated.

[tex] \large{ \frac{ - 25}{5} = \frac{5x}{5} \longrightarrow - 5 = x}[/tex]

Dividing the negative by positive results in negative as well! Next step is optional, which is about checking the answer. To check the answer if it's right or not, we can do by substituting x = -5 in the equation and solve until these two outcomes may occur:

[tex] \large{4 - 2(x + 7) = 3(x + 5)}[/tex]

From the given equation above, substitute the value of x which is -5 in the equation.

[tex] \large{4 - 2( - 5 + 7) = 3( - 5 + 5)}[/tex]

Evalute/Simplify:

[tex] \large{4 - 2(2) = 3(0) \longrightarrow 4 - 4 = 0} \\ \large \boxed{0 = 0}[/tex]

Since both sides are equal or same. Thus the solution to this equation is x = -5.

Answer

I hope this helps! If you have any doubts or questions, don't hestitate to ask in the comment! Good luck on your assignment and have a great day! :)

5x=3x+12

5x-3x=12

2x=12

x=6

Answer:

26

Step-by-step explanation:

5x+6y

substitute x=16 and y=-9:

5*16+6*(-9)

=80-54

=26

Answer:

30 cubic feet

Step-by-step explanation:

volume of a pyramid is (l*w*h)=3

assuming it is a pyrmaid where l=w=h, volume = x^3/3 = 10

x^3=30

x=30^(1/3)

volume of a cube is l*w*h, with our assumption, that translates to x*x*x

Volume = 30^(1/3)*3 = 30 cubic feet

The volume of the cube, in relation to the given pyramid is: 30 cubic feet.

Relating both volumes, we would have:

Volume of cube = 3(volume of pyramid)

Volume of pyramid is given as 10 cubic feet, therefore:

Volume of the cube = 3(10)

Volume of the cube = 30 cubic feet.

Learn more about volume of cube on:

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Answer:

Making r the subject

r=243/3 = 81.

3r = 243

r = 243/3

r= 81

hope it helps you ♡♡

Answer:

120. hope his helps.

Step-by-step explanation:

50 + 70 = 120

Answer:

A. [tex]\frac{2}{8}[/tex]

B. [tex]\frac{6}{6}[/tex]

C. [tex]\frac{8}{4}[/tex]

Step-by-step explanation:

For A pick a fraction that is less than a whole number.

For B pick a fraction that is a whole number.

For C pick a fraction that is greater than a whole number.

Answer:

24

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

<1 = 1/2(104-56)

<1 = 1/2(48)

<1 = 24

Answer:

A, you bad the correct answer

Step-by-step explanation:

^

Answer:

I think 23%

Step-by-step explanation:

Answer:

The humming bird weighs more than the nickls.

you need to compare the decimals.

Step-by-step explanation:

0.16>0.18