Metal cylinders are made by bending rectangular sheets of metal, measuring 15 cm
by 6 cm, until the sides meet.
How many cylinders can be made from a sheet of metal that is 2 m long and
1 m wide?
m

Answer:

$120, 5w+100

Step-by-step explanation:

Josue starts with $100 and earns $5 a week over 4 weeks. That means you multiply 5 by 4 to get $20 dollars earned over 4 weeks. Then you add that to how much money he already has 100+20=$120 after 4 weeks. To get an expression, we have to take the amount of weeks and multiply it by 5 to show the 5 dollars he earns every week (5w) and then add the 100 dollars he already has to it, which gives us 5w+100.

Answer:

Perimeter of the triangle is 58

Step-by-step explanation:

create an equation

(x+3)2+(2x-1)2=(x-7)+(4x-8)+(3x+1)

2x+6+4x-2=x-7+4x-8+3x+1

combine like terms

6x+4=8x-14

18=2x

x=9

now we substitute in the expression to find the perimeter

9-7=2

36-8=28

27+1=28

2+28+28=30+28=58

Answer: He might have 1$ or 51 $ because he spent 49$ and he could have 50$ as his pocket money or he could have 100$ as his pocket money and had 51$ left

Step-by-step explanation: Hope this helps :)

Answer:

x+y=1

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-1(x-(-1))

y-2=-(x+1)

y=-x-1+2

y=-x+1

y-(-x)=1

y+x=1

x+y=1

( 100 / 88 ) * 924 = original price

( 100 / 88 ) * 924 = $1050

Answer:

7.62

Use the Pythagorean theorem. (a^2)+(b^2)=(c^2)

(3^2)+(7^2)=58

Then the square root of 58 is 7.61577 rounding that to the hundredths gives you 7.62

7.62

To round find the hypotenuse, use the Pythagorean theorem which states that A squared plus B squared = C squared which is the answer to our problem. Then find the square root of the solution and voila.

Answer:

[B] The probability of Alex picking a red marble is 50%.

[C] They both have the same probability of picking a red marble.

Step-by-step explanation:

Given;

Alex and James both have a bag of marbles.

Alex's bag has 10 red marbles and 10 blue marbles.

James's bag has 15 red marbles, 10 blue marbles and 5 green marbles.

They each take a marble out of their bag without looking.

Solve;

Alex have 10 Blue marbles so 10 out of 20 are Blue.

James has 10 Blue Marbles so 10 out of 30 are Blue.

Hence, [A] They both have the same probability of picking a blue marble.

is False.

Alex have 10 red and 10 blue which 10 = 10

thus, [B] The probability of Alex picking a red marble is 50%.

Alex's have 10 red marbles and James's have 15 red marbles.

10 out of 20 of them are red. Thus, that 50%

15 out of 30 of them are red. Thus, that 50%

50%  = 50%

Hence, [C] They both have the same probability of picking a red marble.

is true.

James have 15 red, 10 Blue, 5 Green marbles.

15 + 10 + 5 =30 [ Total ]

5 out of 30 is Green

5/30 = 0.16666666666

Round = 16.67%

Hence, [D]  The probability of James picking a green marble is 5%.

is False.

15 out of 30 and 10 out of 20

15/30 = 50% and 10/20 = 50%

Thus, [E] James has a higher chance of picking a red marble than Alex.

is False.

~Learn with Lenvy~

Select the statements that are correct:

A - They both have the same probability of picking a blue marble. [ x ]

B - The probability of Alex picking a red marble is 50%. [✓]

C - They both have the same probability of picking a red marble. [✓]

D - The probability of James picking a green marble is 5%. [x]

E - James has a higher chance of picking a red marble than Alex. [x]

We know that ,

[tex]probability \: \% = \frac{favourable \: outcomes}{total \: outcomes} \times 100 \\ [/tex]

Alex has↷

[tex] \frac{10}{20} \times 100 = 50\% \\ [/tex]

[tex] \frac{10}{20} \times 100 = 50\% \\ [/tex]

James has ↷

[tex] \frac{15}{30} \times 100 = 50\% \\ [/tex]

[tex] \frac{10}{30} \times 100 = 33.33\% \\ [/tex]

[tex] \frac{5}{30} \times 100 = 16.66\% \\ [/tex]

Answer:

4 airplanes

Step-by-step explanation:

1 = 2/3

6 = x

cross multiply

x = 6 × 2/3

therefore x = 4

Answer:

4 airplanes

Step-by-step explanation:

1 =2/3

6 =×

you have to cross multiply

× =6×2/3

Therefore x=4

Answer:

X=3 hours

Step-by-step explanation:

1)     1 1/2 + 1 1/2 = x

2)     3=x

3)      x=3

Answer:

Step-by-step explanation:This particular answer works out to be undefined because it is a straight line and there is no slope and no equation for it. I will show you how to work it out though so you will know how to do it with other problems. We will still be using the y = mx + b formula. First step is to find m. In order to find the slope we would use the equation:

m = (y2 - y1) / (x2 - x1) Note: The number behind the letter designates which x or y value you will use of the 2 (x, y) plots

m = (-5 - 2) / (3 - 3)

m = -7 / 0 Note: A number divided by 0 is undefined which means your slope is undefined

Since your slope is undefined your equation would be x = 3 because your x values are both 3.

Now let's assume your second (x, y) plot was actually (-3, -5).

m = (-5 - 2) / (-3 - 3)

m = -7 / - 6 Note: A negative divided by a negative is a positive. The negatives cancel each other out.

m = 7/6

Okay now back to our slope-intercept formula.

y = 7/6x + b

Now in order to figure out what b is, we will again take the plot point and plug the values into the equation. You can use either point because either way the answer will come out the same. In this case we will use (3, 2).

2 = 7/6(3) + b

2 = 21/6 + b Note: The easiest way to do the next part is to make the 2 into a fraction over 6

12/6 - 21/6 = b

-9/6 = b or -3/2

So now all we have to do is plug this value into our equation.

y = 7/6x - 3/2

Answer:

3.

a) There are 1, 2, 3, 4, 5, 6 outcomes.

b) There are 3 odd numbers on this die, and they are: 1, 3, and 5

c) There are 3 even numbers on this die, and they are: 2, 4, and 6

4.

a) There are 3 possible outcomes, green, blue, and red

b) There is a 1/3 chance of getting a red, because there is one red out of three possible outcomes.

c) P(R ∪/or G) = P(R) + P(G) - P(R ∩/and G)

replace those with actual values;

P(R or/∪ G) = 1/3 + 1/3 - (1/3 x 1/3) = 2/9

d) There are 2 other colors besides red out of 3, so therefore it is a 2/3 chance

e) The probability of getting a yellow is not mentioned therefore it is impossible.

5.

a) There are 7 possible outcomes

b) There is only one 6 in the spinner out of 7 numbers, so it will be a 1/7 chance

c) There is no 8 mentioned in this spinner, hence this event is impossible.

d) P(2 ∪/or 4) = P(2) + P(4) - P(2 ∩/and 4)

replace them with actual values;

1/7 + 1/7 - (1/7 x 1/7) = 13/49

e) There are 3 even numbers in the spinner, so it is a 3/7 chance

f) There are 4 odd numbers in the spinner, so it is a 4/7 chance

g) There are 8 marbles in a bag, what is the probability of getting a marble? The event has to be certain if you're getting a probability of 1.

6.

a) There are 5 possible outcomes.

b) There is one "T" in the word 'maths', so it would be a 1/5 chance of getting a t since there are 5 letters in total. Though, they want it in decimals so 1/5 = 0.2

c) There are 4 consonants in the word 'maths', so it would be a 4/5 chance of getting a consonant. Though, they want it in decimals so: 4/5 = 0.8

d) There are 3 letters in both 'tame' and 'maths', so 3 letters out of 5 letters (3/5) could be a letter used in 'tame' from 'maths'. Though, they want  a percentage so: 3/5 = x/100, solving for x would equal 60%.

Step-by-step explanation:

1) 320 to 180

2) 320 to 500

3) 500 to 180

4) 320 to 500

Answer:

7  13/24 miles

Step-by-step explanation:

First reduce 11/6 into 1 5/6

Then add them all together to get 7  13/24

Answer:

The total would be 6 7/8 miles.

Step-by-step explanation:

Hope this helps :)

Using proportions, it is found that 2.04 times more pennies were minted in the year 2000 compared to the year 2013.

A proportion is a fraction of a total amount. From it, the amount of times a measure a is greater than a measure b is given by a divided by b.

In this problem:

Hence, 2.04 times more pennies were minted in the year 2000 compared to the year 2013.

Hence, applying the proportion:

[tex]\frac{1.43 \times 10^{10}}{7.07 \times 10^9} = \frac{14.3 \times 10^9}{7.07 \times 10^9} = 2.04[/tex]

More can be learned about proportions at https://brainly.com/question/14398287

Answer:

No

Step-by-step explanation:

7997

To draw the possible box make sure to follow the conditions required and organize the information.

This is a type of chart that displays the data obtained by comparing two categories or elements. In this case, the goals of two different teams.

Read the prompt carefully.

Identify any conditions. For example, in this case, the number of goals obtained by the team warriors should be higher.

Organize the information in a chart.

Learn more about hockey in: https://brainly.com/question/3521414

Answer: 2√10

Step-by-step explanation:

A way we can find what x equals, is to find the opposite of what ever sign is on a side, in the equation x^2=40, the opposite of squaring is to find the square root of it.

It is important that what you do to one side, you do to the other.

So we have to square root both sides so we can get rid of the ^2 on x to get x =. This would look like √x^2 = √40

The square root of x^2 would revert back to just x

To find the square root of 40, its important to first see if its a perfect square. In this scenario, it isnt. Because it isnt, we have to find the closest perfect square that we can multiply to get 40, in this equation, the closest would be 4 so we do 4*10.

Then we reduce the 4 by square root and we get 2

Then we cant do anything else with the 10, so we would right the answer as a radical, with the square root you got from the perfect square on the outside and the remainder on the inside of the square root, like x√r where x is the number obtained from square root and r is the remainder that we cant do anything else with.

After doing this, we get the answer 2√10, which can be said "two radical ten"

Answer:

B. < 2 & < 3

Explanation:

Example of supplementary angles in the image:-

Answer:

Least to greatest: (D), 6/25, 0.243, 24.5%,

Step-by-step explanation:

6/25=0.240

0.243=0.243

24.5%=0.245

Answer:

Step-by-step explanation:

Rewrite without absolute value for the given conditions:

1) y = |x−3|+|x+2|−|x−5|, if x > 5

  y = x-3 + x + 2 - (x-5)

  y = x + 4

2) y = |10-x|, if x<10

   y = 10 - x

In both cases, the value of x is held to values that make the absolute value notation redundant, so they can be removed.

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

Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution sets:

1) All numbers such that x≤5

x≤5 kinda does it for me.  X can be any number less than or equal to 5.  Ta da. (?)

2) All numbers such that x≤−14.

x ≤ -14

Same comment.  I'm not sure what is being asked.

Answer:

2[tex]\sqrt{137}[/tex]

Step-by-step explanation:

Solving for the equations,

x² + 4y² = 361

4x² + y² = 324

Add both equations

5x² + 5y² = 685

Divide both sides by 5

x² + y² = 137

Multiply both sides by 4

4x² + 4y² = 548

Now take the square of both sides.

[tex]\sqrt{4x^{2} +4y^{2} } =\sqrt{548}[/tex]

= 2[tex]\sqrt{137}[/tex]

Answer: [tex]2\sqrt{137}[/tex]

Step-by-step explanation:

Trust me i'm good at geometry. Besides, if you actually paid attention in class, you'd know how to solve this

Answer:

30 cakes

Step-by-step explanation:

For one cake alone, find a common denominator (which is 6). So [tex]2\frac{2}{3}[/tex] ([tex]\frac{8}{3}[/tex]) is equal to [tex]\frac{16}{6}[/tex] cups. [tex]\frac{1}{2}[/tex] is [tex]\frac{3}{6}[/tex] cups.

So for one cake, it takes [tex]\frac{19}{6}[/tex] cups of flour. Henry has [tex]\frac{570}{6} = 95[/tex] cups of flour.

If you divide the 570 by 19, Henry can make 30 cakes.

Answer:

y=-1/2x+2

Step-by-step explanation:

First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.

Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2

Answer:

He'll have 24 chocolates remaining.

Step-by-step explanation:

Lets make an equation to represent the problem where x = the number of days and c = chocolates remaining.

60 - 4x = c

Since he ate four chocolates everyday for 9 days, the x in this equation would be 9.

Multiply 9 by 4 to get 36, Then subtract that from 60 to get 24.

Answer:

1. 2x=5

Divide both by 2, x=2.5

2. y+1.8=14.7

Subtract 1.8 from both sides to isolate the variable, x=12.9

3. 6=1/2z

Multiply each side by 2 to isolate the variable, 12=z

4. 3 1/4 = 1/2+w

Isolate the variable by subtracting 1/2 to both sides, 2 3/4 = w

5. 2.5t=10

Divide each side by 2.5 to isolate the variable, t=4

Step-by-step explanation:

Answer:

Isolate the mDivide both sides by 8:Simplify the fraction:Find the greatest common factor of the numerator and denominator:Factor out and cancel the greatest common factor:

Then you get m=1/2

Step-by-step explanation:

Answer:

its false

Step-by-step explanation: