Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?

Step-by-step explanation:

[tex]9 {( - \frac{8}{3}) }^{} {}^{2} + 48( - \frac{8}{3} ) + 64 \\ \\ 9( - \frac{64}{9} ) - \frac{48}{3} + 64 \\ \\ - 64 - 16 + 64 = - 16[/tex]

Answer:

D

Step-by-step explanation:

y = a[tex]x^{2}[/tex] + bx + c  is an equation for a parabola in standard form.

y = a(x - h)² + k is the equation for a parabola in vertex form.

We use y = because the parabola opens vertically.

The vertex is the point on the curve of the parabola, so either the lowest or highest point depending on whether it opens up or down.

We are given the vertex of (1,3), is the vertex formula h is the x and k is the y.

(h,k) or in this case (1,3).

Let's substitute the vertex.

y = a(x - 1)² + 3

To find a, we use the other point (2,6) to substitute in x and y to solve.

x = 2   y = 6

6 = a(2 - 1)² + 3

6 = a(1)² + 3

6 = a(1) + 3

6 = a + 3  Subtract 3 from each side.

6 - 3 = a + 3 - 3

6 - 3 = a

3 = a    

Now we have all the elements of the equation.

a = 3

h = 1

k = 3

y = 3(x - 1)² + 3

So the answer is D.

Answer:

23

Step-by-step explanation:

Answer:

x = y - 13

Step-by-step explanation:

y = 1/2 of mike's debt

x = Ted's debt

x = y - 13

Answer:

[tex]\mu=473.2[/tex]

Step-by-step explanation:

Binomial Distribution

The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.

The mean value of a binomial distribution is given by:

[tex]\mu=np[/tex]

Where b is the number of trials and p is the success probability for each trial.

We need to find the mean value with parameters n=676 and p=0.7, thus:

[tex]\mu=676\cdot 0.7[/tex]

[tex]\boxed{\mu=473.2}[/tex]

Easy buddy...

_________________________________

Step (1)

I choose a number which is x

_________________________________

Step (2)

Multiplies by 90 :

[tex]90x[/tex]

_________________________________

Step (3)

Adds up to -23 :

[tex]90x - 23[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Smaller=x Larger=x+2

x+x+2=144

2x+2=144

2x+2-2=144-2

2x=142

2x/2=142/2

x=71

Smaller=71

Larger=73

Check: 71+73=144

Step-by-step explanation:

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Answer:

71 and 73

Step-by-step explanation:

First, set up an equation: let x be the smaller number, and let x+2 be the bigger one.

Then, since these two number's sum is 144, we can set up the equation x+(x+2) = 144.

Solve for x: 2x+2=144 -> 2x = 142 -> x = 71

As the smaller number is defined as x, we solved for the smaller number: 71. The bigger number is defined as x+2, so the bigger number is just going to be 2 more than the smaller number, which is 73.

Therefore, we arrive at our answers 71 and 73.

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

Answer:

12 hours

Step-by-step explanation:

15/2=7.5

90/7.5 = 12

Answer:

f(x) = 17/2 or 8.5

Step-by-step explanation:

f ( x ) = 10-9/2x

By substituting the values,

f (x) = 10 - 9/2(-1/3)

= 10-3/2 = 17/2= 8.5

Answer:

PQN and MNL

Step-by-step explanation:

A corresponding angle is an angle that occupies the same relative position of another angle on a straight line. If they are parallel then they are corresponding.

Answer:

the answer is A. 3/4

Step-by-step explanation:

Try using Symbolab for future reference it works really well (it's what I use ALL the time)!

Answer:

m perpendicular = - 3

Step-by-step explanation:

To start with, we need to find the slope of the given line, by solving for y in the equation

x - 3 y = 12

x = 3 y + 12

x - 12 = 3 y

divide by 3 both sides:

y = x/3  - 12/3

y = (1/3) x - 4

then, the slope of the given line is 1/3, and according to the property of perpendicular lines, a perpendicular slope will be the 'opposite of the reciprocal" of the slope of the original line. That is: the value - 3.

Then the slope of the perpendicular line is: m = - 3.

Answer:

3

Step-by-step explanation:

Answer:

The population of Queens increased by 16,075.

The population of Brooklyn increased by 11,870 more than that, then the population of Brooklyn increased by:

16,075 + 11,870 = 27,945

a) The total combined population increase is (when we round the addens)

I will round in the thousands place.

To do it, we must look at the hundreds place, if the decimal is 5 or larger, we round up.

If the decimal is smaller than 5, we round down.

16,074 ≈ 16,000

27,945 ≈ 28,000

16,000 + 28,000 = 44,000

b) Now using the actual numbers:

16,075 + 27,945 = 44,020.

c) now let's compare our two results:

Let's see the difference between them

a = 44,000

b = 44,020

a - b = 44,000 - 44,020 = -20.

This means that our estimated from (a) is 20 units smaller than the actual number.

But this is insignificant compared with the 44,020.

Why?

we can calculate the relative error as:

100%*(estimate value - real value)/(real value)

100%*(-20/44,020) = -0.05%

So the error is on the -0.05%, which is despreciable.

From this, we can conclude that the estimation in (a) is a really good estimation.

Answer:

5

Step-by-step explanation:

no or 6

Answer:

Step-by-step explanation:1,-2

Answer:

$0.90 per pound.

Step-by-step explanation:

4.50:5

5/5=1

4.50/5=0.90

Answer:

b^20/a^12

Step-by-step explanation:

b to the power of 20 over a to the power of 12

Answer:

  D.  2x > 2y

Step-by-step explanation:

This question illustrates some of the difficulties you can run into with inequalities.

Consider each of the expressions when x = 1 and y = -2. We know that

  x > y

  1 > -2

__

A. x^2 = 1, y^2 = 4 . . . . x^2 > y^2 is not true

B. -x = -1, -y = 2 . . . . -x > -y is not true

C. 1/x = 1/1 = 1, 1/y = 1/-2 = -1/2 . . . . 1/x > 1/y is true

  Now consider x=2, y=1. x > y because 2 > 1, but ...

  1/x = 1/2, 1/y = 1 . . . . 1/x > 1/y is not true

D. We know that multiplying the numbers by 2 only stretches them apart on the number line. It does not change their order. For our example, ...

  2x = 2, 2y = -4 . . . . 2 > -4 is true

Answer:

87 cans left

Step-by-step explanation:

multiply.16 x 6 =96 then you subtract 9 and you get 87 cans

There are 87 cans of cola left.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If there are 6 cans in a pack, and you bought 16 packs.

Total cans.

= 6 x 16

= 96 cans

If you drank 9 cans, then the number of cans left.

=  96 - 9

= 87 cans.

Therefore,

There are 87 cans of cola left.

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Answer:

i think it is false, true, false

Step-by-step explanation:

hope i helped!

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Answer:

Of what grade this is question

Answer:

14

Step-by-step explanation:

Answer: The length is 4 the width is 3

Step-by-step explanation:

Answer:

157

Step-by-step explanation:

180-23=157

Answer to both is 13 and 1.3 billion years old.

I just completed the assignment, sorry if this is late. but I hope it helps

Answer:

How many atoms will there most likely be at the third half-life of potassium-40 in this model?

✔ 13

A model rock layer had 50 pennies (atoms of potassium-40).

How old is the rock layer?

✔ 1.3 billion years old

Step-by-step explanation:

Answer:

1 3/4 ounces of dried fruit.

Step-by-step explanation:

4 2/4 - 2 3/4 is equal to 7/4. 7/4 simplified is 1 3/4.

y= (-3x+6)2

For parallel lines, slopes are the same,

y = mx + c

Substitute the values,

3 = (-3/2)(-2) + c

3=3 + c,

c = 0

Thus, the equation is y= -3/2x

Hope it helps :)

Answer:

x^2 + 4y^2 + 6x + 4

Step-by-step explanation:

Arranging the terms;

x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 6x + 2 + 2

x^2 + 4y^2 + 6x + 4

total time taken = 40 min

let x be the total length/ distance of the journey.

speed(v) = distance/ time

100= (1/2 x)/ time ---1

60= (1/2 x)/ time ---2

add 1 and 2

160= x/40

where 40 is the total time taken

44.44m/s= x/ 2400s (i converted the speed and time)

x = 106,656 metres = 106.656km

the total length is 106.656 km.

Let's assume the total length of the journey is "x" km. Since the journey took 40 minutes to complete, we first need to convert this time to hours, which is [tex]40/60 = 2/3 h[/tex] hours.

According to the information given, the first half of the journey was traveled at an average speed of 100 km/h, which means the distance covered during this time is (1/2)x km. The time taken for this is given by [tex](1/2)x / 100 = x/200[/tex] hours.

Similarly, the second half of the journey was traveled at an average speed of 60 km/h, which means the distance covered during this time is (1/2)x km.

The time taken for this is given by [tex](1/2)x / 60 = x/120[/tex]hours. Now, we can add the times taken for both halves, which gives us [tex]x/200 + x/120[/tex]hours [tex]= 2/3[/tex]hours. By solving this equation, we arrive at [tex]x = 240 km.[/tex]

Therefore, the total length of the journey is 240 km.

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