Tickets for a train cost $22 for adults and $10 for children. Josie paid $1,200 for a total of 72 tickets. How many adult tickets and how many child tickets did Josie buy?

Answer:

Split the coins into three groups, A, B and C consisting of 3 coins in each group.

Weigh: A--B

1. If A=B, the the counterfeit is in group C

Weigh any two coins in group C and figure out the rest.

2. If A≠B, then the counterfeit is in the lighter group.

Weigh any two coins in the lighter group and figure out the rest.

Steven can find the counterfeit coin in just two weighings by dividing the 9 coins into 3 groups and using the balance scale.

Steven can find the counterfeit coin in two weighing by following these steps:

By dividing the coins into three groups, Steven eliminates two-thirds of the coins after the first weighing and then narrows it down to just two coins in the second weighing.

https://brainly.com/question/32901310

#SPJ2

Answer:

see the explanation

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

step 1

Find the measure of angle BDA

we know that

Triangle ABD is an isosceles triangle

AB=AD ---> given problem

so

m∠ABD=m∠BDA

therefore

m∠BDA=72°

step 2

Find the measure of angle BAD

Remember that the sum of the interior angle in a triangle must be equal to 180 degrees

In the triangle BDA

m∠ABD+m∠BDA+m∠BAD=180°

substitute the given values

72°+72°+m∠BAD=180°

144°+m∠BAD=180°

m∠BAD=180°-144°=36°

step 3

Find the measure of angle BCA

In the triangle ABC

m∠BCA=m∠BAC

we have that

m∠BAC=m∠BAD=36°

therefore

m∠BCA=36°

step 4

Find the measure of angle ABC

In the triangle ABC

m∠BAC+m∠BCA+m∠ABC=180°

substitute the given values

36°+36°+m∠ABC=180°

72°+m∠ABC=180°

m∠ABC=180°-72°=108°

step 5

Find the measure of angle DBC

we know that

m∠DBC+m∠ABD=m∠ABC ----> by addition angle postulate

substitute the given values

m∠DBC+72°=108°

m∠DBC=108°-72°=36°

step 6

Find the measure of angle BDC

we know that

m∠BDC+m∠ADB=180° ----> by supplementary angles

substitute the given value

m∠BDC+72°=180°

m∠BDC=180°-72°=108°

step 7

In the triangle DBC we have

m∠DBC=36°

m∠BCD=m∠BCA=36°

so

The triangle BCD has two equal angles

therefore

Triangle BCD is an isosceles triangle

and

BD=BC

Answer: C

Step-by-step explanation:

The answer is C because it says 360 and 300. If you do a problem solve for that one on a peace of paper I think it would be 16.7%

Answer:

Step-by-step explanation:

Change in number = number visited in 1st week - number visited in 2nd week

= 360-300 = 60

So percentage change in number= 60/360×100=16.67

Answer:

Step-by-step explanation:

The square has 100 smaller parts.

92 of them are shaded, that means 92% of the square is shaded.

Answer: 72

Step-by-step explanation: Simple, how many seconds are in a minute? 60. How do you get from 10 to 60? Multiply by 6. Then you take the beats every 10 seconds (12) and multiply by 6 (What it took to get from 10 to 60) to get 72.

Answer:

k = $41.44/7 bags = $5.92/bag

The cost of one bag of apples is 5.92 dollars.

To find the cost of one bag of apples, we can divide the total cost by the number of bags.

Given the equation [tex]\(41.44 = 7k\)[/tex], where [tex]\(k\)[/tex] represents the cost of one bag, we can solve for [tex]\(k\)[/tex] by dividing both sides of the equation by 7:

[tex]\[ k = \frac{41.44}{7} \][/tex]

Calculating:

[tex]\[ k = \frac{41.44}{7} = 5.92 \][/tex]

Answer:

z = 14

Step-by-step explanation:

Solve for z:

(4 z)/7 - 15 = -7

Put each term in (4 z)/7 - 15 over the common denominator 7: (4 z)/7 - 15 = (4 z)/7 - 105/7:

(4 z)/7 - 105/7 = -7

(4 z)/7 - 105/7 = (4 z - 105)/7:

1/7 (4 z - 105) = -7

Multiply both sides of (4 z - 105)/7 = -7 by 7:

(7 (4 z - 105))/7 = -7×7

(7 (4 z - 105))/7 = 7/7×(4 z - 105) = 4 z - 105:

4 z - 105 = -7×7

7 (-7) = -49:

4 z - 105 = -49

Add 105 to both sides:

4 z + (105 - 105) = 105 - 49

105 - 105 = 0:

4 z = 105 - 49

105 - 49 = 56:

4 z = 56

Divide both sides of 4 z = 56 by 4:

(4 z)/4 = 56/4

4/4 = 1:

z = 56/4

The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:

Answer:  z = 14

Answer:

Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by - 3.

Step-by-step explanation:

We are going to solve an equation of inequality of single variable x.

We will start with, -3x + 5 > 20

⇒ -3x + 5 - 5 > 20 - 5

⇒ - 3x > 15

⇒ [tex]\frac{-3x}{-3} < \frac{15}{-3}[/tex]

⇒ x < - 5

Therefore, while dividing both side terms by -3, the inequality sign will change from > to < sign.

So, Derek did it wrong that he did not change the inequality sign while dividing both side terms of the inequality by a negative number. (Answer)

Answer:

v(x) = x(22 - 2x)(28 - 2x)

Step-by-step explanation:

The length of the box = 28 - 2x inches,

The width = 22 - 2x inches and the height  = x inches.

v(x) = x * width * length.

The volume of the open top box is [tex]V(x) = (28 - 2x)(22 - 2x)(x)[/tex] cubic inches

The volume of the box is V = (length)(width)(height).

Let the cutout side length be [tex]x[/tex] inch,

We are to cut out [tex]x[/tex] by

So, the length of the box is [tex]28 - 2x[/tex] inch

the width of the box is [tex]22 - 2x[/tex] inch and

the height of the box is [tex]x[/tex] inch

Now, substituting the values in the volume formula, we get

[tex]V(x) = (28 - 2x)(22 - 2x)(x)[/tex] cubic inches

Learn more:https://brainly.com/question/23821509

Answer:

13/6

Step-by-step explanation:

it can also be written as a fraction

Answer:

I think it is option C :>

Answer:

The number is -9.

Step-by-step explanation:

I set it up like this:

(-8) - 3x = 19

Then you add 8 to both sides of the equation in order to get rid of the negative 8.

(-8) + 8 - 3x = 19 + 8

After solving you would end up with this:

- 3x = 27

Then, you need to get the x by itself, so you divide by -3. In order to keep the equation equal though, you need to also divide the right side of the equation by -3.

- 3x ÷ -3 = 27 ÷ -3

Your final answer after solving would be:

x = -9

Answer:

(a) y = -2 x -2

(b)  y = -2 x + 1

(c)  y = -2 x + 3

Step-by-step explanation:

The given lines r , s and t are parallel.

⇒ Slope of line r = Slope of line s = Slope of line t = (-2)

The point slope equation for any line is given as

y = m x + C : m = slope pf line, C is y - intercept.

Y intercept is a point on line when x = 0.

Now for the line r, slope = (-2) and y intercept = (-2)

So, the equation is given as y = -2x -2

Now for the line s, slope = (-2) and y intercept = (1)

So, the equation is given as y = -2 x + 1

Now for the line t, slope = (-2) and y intercept = (3)

So, the equation is given as y = -2 x + 3

Answer:

a.)  x= 11

d.) -7

g.) -5

Step-by-step explanation:

a.) x+1 = 4*3

x=12-1

d.)3x+1=-4*5

3x+1=-20

x=-7

g.)11x-1=-8*7

11x-1=-56

11x=-56+1

x=-5

Answer:

Step-by-step explanation:

[tex]a)\\\dfrac{x+1}{3}=4\\\\\dfrac{x+1}{3}=\dfrac{4}{1}\qquad\text{cross multiply}\\\\(x+1)(1)=(3)(4)\\\\x+1=12\qquad\text{subtract 1 from both sides}\\\\x+1-1=12-1\\\\\boxed{x=11}[/tex]

[tex]d)\\\\\dfrac{3x+1}{4}=-5\\\\\dfrac{3x+1}{4}=\dfrac{-5}{1}\qquad\text{cross multiply}\\\\(3x+1)(1)=(4)(-5)\\\\3x+1=-20\qquad\text{subtract 1 from both sides}\\\\3x+1-1=-20-1\\\\3x=-21\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{-21}{3}\\\\\boxed{x=-7}[/tex]

[tex]g)\\\dfrac{11x-1}{8}=-7\\\\\dfrac{11x-1}{8}=\dfrac{-7}{1}\qquad\text{cross multiply}\\\\(11x-1)(1)=(8)(-7)\\\\11x-1=-56\qquad\text{add 1 to both sides}\\\\11x-1+1=-56+1\\\\11x=-55\qquad\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{-55}{11}\\\\\boxed{x=-5}[/tex]

Answer:

The required cards can be -6 and -6.

Step-by-step explanation:

Consider the provided integer -12.

We need to find the two cards whose sum is -12.

There are lots of choices for the two cards whose sum is -12.

Few choices are:

If we first card is -6 and the second card is also -6 then the sum will be -12:

[tex]-6-6=-12[/tex]

If we first card is -4 and the second card is -8 then the sum will be -12:

[tex]-4-8=-12[/tex]

If we first card is -10 and the second card is -2 then the sum will be -12:

[tex]-10-2=-12[/tex]

Thus, the required cards can be -6 and -6.

conservation imporoper fraction to mixed number answer

Answer:

This graph does not represent a function.

Step-by-step explanation:

This graph does not pass the vertical line test. The vertical line test states that if a vertical line drawn intersects the graph of the relation more than once, then the relation is a NOT a function.

Answer:

13 grls in ur class

Step-by-step explanation:

15*115%=17

17-15=2

25-2=13

Hope tht this helps :)

a)The proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15.

b)The value of x obtained after solving the proportion is 13.043.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that there are 15 girls in your class this year and there is a 15% increment from last year.

Suppose x is the number of girls in the class last year,

⇒15 = 15 % of x + x

⇒(15-x)/x = 0.15

Solving the above equation for finding the value of x,

15 - x = 0.15 x

15 = 0.15 x + x

15 = 1.15 x

x =15 / 1.15

x=13.043

Thus, the proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15, and the value of x obtained after solving the proportion is 13.043.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ5

Answer:

The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

Step-by-step explanation:

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

or, [tex]\frac{1}{5}  = \frac{m}{32,000}  \implies m = \frac{32,000}{5}  = 6,400[/tex]

⇒ m = 6,400

Hence, the factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

Answer:

6,400

Step-by-step explanation

if im late then my bad, how ya'll day going? and Byeee, i'm at school ;)

Answer:

3(x - 3)²

Step-by-step explanation:

Given

3x² - 18x + 27 ← factor out 3 from each term

= 3(x² - 6x + 9)

= 3(x - 3)² ← in factored form

The solution is 16.5 cups

The number of cups of flour for 22 small pizzas is 16.5 cups and Bill does not have enough flour for the party

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of cups of flour required be = A

Now , the equation will be

The number of pizza's Bill has for the party = 22 pizzas

The number of cups of flour Bill has = 16 cups

The number of cups of flour required for 1 pizza = 3/4 cups of flour

So , The total number of cups of flour for 22 pizzas = 22 x number of cups of flour required for 1 pizza

Substituting the values in the equation , we get

The total number of cups of flour for 22 pizzas = 22 x ( 3/4 )

The total number of cups of flour for 22 pizzas = 16.5 cups of flour

So , the number of cups of flour required > number of cups of flour Bill has

Therefore , the value of A is 16.5 cups

Hence , Bill does not have enough flour for the party

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

x=3

Step-by-step explanation:

we move the 1 to the other side so

it goes from -1 to a positive 1 then add it to the 14 then you will have

5x=15

to remove the x divided 5 on both sides and you get x=3

The equivalent value of the equation is x = 3

Given data ,

Let the equation be represented as A

Now , the value of A is

5x - 1 = 14​

So , the left hand side of the equation is equated to the right hand side by the value of ( 14 )

On simplifying the expression , we get

5x - 1 = 14​

Combining the like terms in the expression , we get

Adding 1 on both sides , we get

5x = 15

Divide by 5 on both sides , we get

x = 15/5

x = 3

Therefore , the value of x = 3

Hence , the expression is x = 3

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer:

0

Step-by-step explanation:

In military time format, first two digits are in hours. We know that, on a digital clock, the first two digits always shows between 01 to 24.

So, there is no probability that the first two digits will show more than 25.

As there is no probability, the probability will be zero or 0. Because probability of any incident is whether 0 or 1; where 1 is for certain event.  

Answer:

10 on top the rectangle and 4 on the left thats the answer ,   the girl who commented helped me out alot all i did was divide 3 times 30 and 3 times 12

Step-by-step explanation:

Answer:

10 on the top of the square and 4 on the side

Step-by-step explanation:

Answer:

$36.45

Step-by-step explanation:

81 - 55%

Convert percentage to decimals

55% = 0.55

81 - 55%

= 81 - 0.55(81)    <= 81 reduced by 55% of 81

= 81 - 44.55   <= simplify and solve

= 36.45

The answer would be 20.125 or 161/8, because to divide numbers, it is like the fraction 644/32. For example, if you have 644 mcord.weebly.com sites or bananas and you need to equally divide them into 34 groups, their would be 20.125 mcord.weebly.com sites or bananas in each group.

Answer:

There are 24 math instructors and 33 english instructors.

Step-by-step explanation:

Let x be the number of math instructors and y be the english instructors. Since the college has 9 more English instructors than math instructors, set up the equation like this: x+(x+9)=57 where x+y=57, you can see that y=x+9.

Now, it's time to solve for x and y.

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

Answer:

24 math instructors & 33 english instructors

Step-by-step explanation:

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

The greatest possible length of each  piece is 16 inches

Latisha has two pieces of ribbon. One piece of ribbon is 48 inches and  the other is 80 inches

Ribbon is to be cut into pieces of equal length

To find the greatest possible length of each piece, we have to find greatest common divisor of 48 and 80

The greatest common factor, or GCF, is the greatest factor that divides two numbers

Steps to find G.C.F of 48 and 80

1) Find the prime factorization of 48

[tex]48 = 2 \times 2 \times 2 \times 2 \times 3[/tex]

2) Find the prime factorization of 80

[tex]80 = 2 \times 2 \times 2 \times 2 \times 5[/tex]

3) To find the GCF, multiply all the prime factors common to both numbers:

Therefore, [tex]GCF = 2 \times 2 \times 2 \times 2 = 16[/tex]

So, 16 inches is the greatest possible length to cut so that every piece is of equal length.

Answer:

35

Step-by-step explanation:

86-65=21$ (initial fee diffrence)

21/0.6= 35

for 35 m company B charge less than A unless if renter want to drive further 35m so company A present a better offer.