New York and Denver are in different time zones. When it is noon in New York, it is 10:00 a.m. in Denver. At 2:00 p.m. in New York, a train departs, and it arrives in Denver 45 hours later. What time is it in Denver when the train arrives?

Answer:

The amount of cookies in the small tray = x = 19 cookies

The amount of cookies in the Large tray = y = 40 cookies

Step-by-step explanation:

Let

The amount of cookies in the small tray = x

The amount of cookies in the Large tray = y

We are told:

A caterer is making cookie trays for upcoming holiday parties.

This morning, she made 4 small trays and 4 large trays, which contain a total of 236 cookies.

This is represented Mathematically as:

4x + 4y = 236..... Equation 1

In the afternoon, she made 4 small trays and 1 large tray, which contain a total of 116 cookies.

This is represented Mathematically as:

4x + y = 116 ........ Equation 2

y = 116 - 4x

We solve the above equations using the substitution method

We substitute 116 - 4x for y in Equation 1

4x + 4y = 236..... Equation 1

4x + 4(116 - 4x) = 236

4x + 464 - 16x = 236

Collect like terms

4x - 16x = 236 - 464

-12x = -228

x = -228/-12

x = 19 cookies

Solving for y

y = 116 - 4x

y = 116 - 4 × 19

y = 116 - 76

x = 40 cookies

The number of cookies the different sized trays contained is given as:

The amount of cookies in the small tray = x = 19 cookies

The amount of cookies in the Large tray = y = 40 cookies

Answer:

This is the answer do it fast. Ok

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 8x + 13 ← is in standard form

with a = 1 and b = - 8 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into the equation for corresponding value of y

y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3

Vertex = (4, - 3 )

The axis of symmetry is a vertical line passing through the vertex with equation

x = 4 ← equation of axis of symmetry

To determine direction of opening

• If a > 0 then graph opens up

• If a < 0 then graph opens down

Here a = 1, thus graph opens up

Answer:

18

Step-by-step explanation:

Note that 75% = 75/100 = 3/4, so 3/4 of the marbles must be blue. Let x be amount of blue marbles added. We can write an equation using this.

75% = 3/4 = (3 + x blue marbles)/(3 + 4 + 3 + x total marbles) = (3+x)/(10+x)

Multiplying by 4(10 + x) on both sides:

3(10 + x) = 4(3+x)

30 + 3x = 12 + 4x

18 = x

Therefore, we must add 18 blue marbles for 75% of the marbles to be blue.

I hope this helps! :)

Step-by-step explanation:

Hey there!

f(x) = 7/x

~ Simply keep the "7" in the place where "x" is there.

[tex]f(7) = \frac{7}{7} [/tex]

Therefore, X= 1.

Hope it helps....

Answer:

After evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1

Step-by-step explanation:

We need to evaluate the function [tex]f(x)=\frac{x}{7}[/tex] and find f(7)

For finding f(7) we will put x = 7 in the given function [tex]f(x)=\frac{x}{7}[/tex]

So, putting x= 7 and finding f(7)

[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]

So, after evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1

Answer:

8 post cards

Step-by-step explanation:

Eight

Answer:

15

Step-by-step explanation:

3+2=5

5x3=15

Answer:

The amount to be paid is rupee 1872.72

Step-by-step explanation:

Compound Interest

It occurs when interest in the next period is earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The initial amount is P=1800 at r=8% = 0.08 during t=6 months (t=0.5 years) compounded quarterly. There are 4 quarters in a year, thus n=4.

Calculating A:

[tex]\displaystyle A=1800\left(1+{\frac {0.08}{4}}\right)^{4*0.5}[/tex]

[tex]\displaystyle A=1800(1.02)^{2}[/tex]

A = 1872.72

The amount to be paid is rupee 1872.72

Answer: March 28

Step-by-step explanation:

Solve for this by checking for the lowest common multiple of 7 and 4.

Multiples of 7: 7, 14, 21, 28, 35

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32

Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.

Step-by-step explanation:

4 green bars to 3 red bars

=> 200 green bars to 3 * (200/4) = 150 red bars.

There are 150 red bars. (A)

Answer:

Step-by-step explanation:

A - 150 is the a answer

4 green bars for every 3 red bars, take 3 red bars as one bucket so total we have 200/4 buckets which is 50

now 1 bucket has 3 green bars so total we have 3* 50 buckets which is 150

Answer:

m=4/3

b=0

Step-by-step explanation:

m= is the slope, which is 4/3 and b is the y intercept, which is (0,0). The equation would be y=4/3x+0 but we do not have to include the 0 making it y=4/3x. The equation is proportional becuase it goes through the point (0,0) and it is linear as it is a linear line.

Answer:

6 / 55 = x / 44

44*6/55= x

x = 4.8 miles

Step-by-step explanation:

Answer:

3z + 78

Step-by-step explanation:

Simplify

(3z + 1) + (5 + 72)

(3z+1) + 77

3z + 78

Hope this helped you!! If you want to ask any questions about it, I will answer them!! Or if you want it explained more or in a different way, just let me know :))

Answer:

Step-by-step explanation:

imagine 38 n = lets say b

so b/b/b/b/b

and divide that by 38

Answer:

let jivesh score x runs so rajat scores 3x runs

total runs = 300-8 = 292 runs

so x+3x = 292

4x = 292

x = 292/4

x = 73

so jivesh score 72 runs and rajat scores 216 runs

Step-by-step explanation:

Answer:

73 for Devanesh. 219 for Rajat

Step-by-step explanation:

If a triple century is 300 then 300-8 = 292 runs that they made. They made a total of 3t+t=292. Means 4t=292. Means t=73. So 73 is the runs for Devanesh.219 for Rajat.

Answer:

sam will take the 75 pollywog pralines and divide them into the three bags

75÷3 =25

Answer:

[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

This can be written as the difference of 2 squares:

(a^4 - 8a^2b^2 + 16b^4) -81

= (a^2 - 4b^2)^2 - 81

=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]

= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

The factorized form of the given expression will be as:

[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The expression is given in the question as:

(a⁴ - 8a²b² + 16b⁴) - 81

We have to determine the factorized form of the given expression

As per the given question, the required solution would be as:

(a⁴ - 8a²b² + 16b⁴) - 81

This can be written as the difference between 2 squares:

⇒ (a² - 4b²)² - 81

⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]

⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

Learn more about the Factorization here:

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9514 1404 393

Answer:

  -108

Step-by-step explanation:

About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.

  [tex]a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}[/tex]

_____

Alternate solution

You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...

  [tex]a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}[/tex]

Then the 4th term will be ...

  [tex]a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108[/tex]

Answer:

the last on bottom right :)

Step-by-step explanation:

Answer:

D (bottom right)

Step-by-step explanation:

y - intercept is 7 and slope is 3

Hope this helps. Pls give brainliest.

Answer:

2x-7=13 X=10

3x+4=25 X=7

2/3x=8 X=12

3/2x=6 X=4

Step-by-step explanation:

Answer:

a. x = 12

b. x = 4

Step-by-step explanation:

a.  [tex]\frac{2x}{3}=8[/tex]

Multiply both sides by 3;

[tex]\frac{2x}{3} *3=8*3\\\\2x=24[/tex]

Divide both sides by 2;

x = 12

b.  [tex]\frac{3x}{2}=6[/tex]

Multiply both sides by 2;

[tex]\frac{3x}{2}*2=6*2\\\\3x=12[/tex]

Divide both sides by 3;

x = 4

Answer:

x<58 the< with line under    the pitcher can throw 58 or less pitches

Step-by-step explanation:

Answer:

Gay.

Step-by-step explanation:

I means gay, some people just refer to that but most commonly known as 'gay'.

Answer:

y = 300

Step-by-step explanation:

y = 250 (1+0.2)

First add the 1 and 0.2

y=250(1.2)

multiply 250 with 1.2

y = 300

:)

Answer:

Step-by-step explanation:

The volume is the product of three dimensions

Given:

w = x + 1, l = x + 2 and V(x) = x³ + x² - 4x - 4

1) Let's find the height:

2) x = 4 m

Volume is:

3) x = 4 m

Dimensions are:

Full surface area is:

Step-by-step explanation:

x = ky, where k is a real constant.

When y = 36, x = 24.

=> (24) = k(36), k = 2/3.

Hence x = (2/3)y.

When y = 132, x = (2/3)(132) = 88.

Answer:

see explanation

Step-by-step explanation:

Given x varies directly with y then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 24 when y = 36, then

36 = 24k ( divide both sides by 24 )

1.5 = k

y = 1.5x ← equation of variation

When y = 132, then

132 = 1.5x ( divide both sides by 1.5 )

x = 88

Answer:

mean of e + f = 18

Step-by-step explanation:

(a + b + c + d)/4 = 9         Multiply by 4

a + b + c + d = 9 * 4 = 36

(a + b + c + d + e + f ) / 6 = 12

but a + b + c + d = 36

(36 + e + f)/6 = 12             Multiply by 6

36 + e + f = 72                 Subtract 36 from both sides

e + f = 36                         Divide by 2 to find the mean.

(e + f)/2 = 36/2

mean of e + f = 18

Answer:

A. the median number of hours spent on Math was about 2.9

Step-by-step explanation:

The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.

The given box plot shows the number of hours students have spent on math this week.

The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.

Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The vertical line represents the median, which is 2.9.

Therefore, option A is the correct answer.

To learn more about the plot box visit:

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Answer:

you would multiply 2 * 4.87 and then add that to 9.74 and then you do that to everyone and then one of them will get you your answer and I am not sure about the answer but I think its b

Step-by-step explanation:

Answer:

The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C

Step-by-step explanation:

The form of the linear equation is;

y = m x + b, where

m is the slope of the line (The rate)

b is the y-intercept (initial amount, value y at x = 0)

∵ The value of a collectible coin can be represented by the equation

  y = 2 x + 9.74

→ Compare it with the form of the linear equation above

∴ m = 2

∴ b = 9.74

∵ x represents the number of years that Consuelo has owned the coin

∵ y represents the total value, in dollars, of the coin

→ That means the value of y at x = 0 is the value of the coin when

  Consuelo originally purchased it

∵ b represents the value of y at x = 0

∵ b = 9.74

∴ The value of the coin when Consuelo originally purchased it is $9.74

Answer:

200 minutes / 3 hours & 20 minutes.

Step-by-step explanation:

This is quite simple.

First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.

20 × 2 = 40

This means she is on break for a total of 40 minutes each day.

Finally, let's take that 40 and multiply it by 5.

40 × 5 = 200

This means she spend 200 minutes (3 hours & 20 mins) on break each week.

Answer:

15 bundles of roofing shingles

Step-by-step explanation:

Total bundles of roofing shingles = 29

He carries two bundles at a time

How many bundles are still on the ground after his seventh trip up the ladder?

First trip = 2 bundles of roofing shingles

Second trip = 2 bundles of roofing shingles

Third trip = 2 bundles of roofing shingles

Fourth trip = 2 bundles of roofing shingles

Fifth trip = 2 bundles of roofing shingles

Sixth trip = 2 bundles of roofing shingles

Seventh trip = 2 bundles of roofing shingles

Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2

= 14 bundles of roofing shingles

Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips

= 29 - 14

= 15 bundles of roofing shingles