What is 26.509 written in Expanded Form?

(a) 67900

(b) 291700

(a) 25 x 679 x 4

Rearrange the terms starting with the smallest

4 x 25 x 679

The property used here is the commutative property of multiplication which states that the order in which these numbers are multiplied does not matter.

Now solve

4 x 25 x 679 = 67900

(b) 2917 x 102 - 2917 x 2

Factor out the common terms

2917(102 - 2)

Using the distributive property which states that when a number is multiplied by the sum or difference of two numbers, the result is the same as multiplying each of the two numbers by the number and then adding or subtracting the products.

Now solve

2917(102 - 2) = 2917(100)

= 291700

Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

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Answer:

x = 18

mZT = 71º

Step-by-step explanation:

Complementary angles total 90º

(3x + 17) + 19 = 90

Subtract 19 from both sides

3x + 17 = 71

mZT = 71º

Subtract 17 from both sides

3x = 54

Divide both sides by 3

x = 18

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

Answer:

11+y > -33

Step-by-step explanation:

Answer:

You wrote

"Which of the following" Meaning there's should be options present.

But Going with the statement...

The sum of 11 and y is greater than -33

I'd say

11 + y > -33.

Answer:

6p-18

Step-by-step explanation:

Answer:

6p -18

Step-by-step explanation:

(p - 3)6

Distribute

6*p - 6*3

6p -18

Answer:

Step-by-step explanation:

1.C. circumference

2.D. 25.12 decimeters

Solution

C=2πr=2·π·4≈25.13274

3.B. 28.26 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433m

4.B. 25.12 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274m

5.B. 21.98 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·7≈21.99115m

Answer:

D 34

Step-by-step explanation:

i hope you understand

Answer:

x = 6 1/4

y = 3 3/4

Step-by-step explanation:

let 'x' = gallons of 6% nitrogen

let 'y' = gallons of 30% nitrogen

system of equations:

x + y = 10;  let y = 10-x

6x + 30y = 10(15)

substitute '10-x':

6x + 30(10-x) = 150

6x + 300 - 30x = 150

-24x = -150

x = 6 1/4

y = 3 3/4

Answer:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Step-by-step explanation:

Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]

[tex]||v||=\sqrt{24+8}[/tex]

[tex]||v||=\sqrt{32}[/tex]

Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]

[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]

[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]

[tex]\alpha=40.89^{\circ}[/tex]

Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]

To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].

In conclusion, the trigonometric form of the vector is:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or

[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Answer:

The area of the triangle is 40 [tex]yd^2[/tex].

Step-by-step explanation:

The formula for finding the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] and [tex]h[/tex] represents the base length and height respectively. Since the height is 10 yards, and the base length is 8 yards, that means the area will be [tex]\frac{1}{2} * 8 * 10 = \frac{1}{2} * 80 = 40 yd^2[/tex].

Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

Answer: hello! have a good day! :)))

P = 2

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

19,683

Hope this Helped!

Answer:

Final point (-4, 4) Original point (3, -4)

Answer:

Again, I can't move it for you but I can give you the points!

original: (3, -4)

final: (-4, 4)

Answer:

0.01024

Step-by-step explanation:

Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;

Number of time slots, n = 5

Required to mark, number of preferred timeslot x = 2

P(x) = 2 /5 = 0.4

Probability of 0.4 that an interviewee gets one of his preferred timeslot.

Probability that each of the 5 interviewees gets one of their preferred time slots :

Using the multiplication rule of independence :

0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024

0.01024 * 100% = 1.024%

Answer:

[tex]154m^{2}[/tex]

Step-by-step explanation:

8 · 7 = 56m (horizontal rectangle shape) the width was given by subtracting the total of the width (23m) minus (16m).

5 · 8 = 40m (square shape) Subtract 8m - 3m = 5m.

6 · 8 = 48m (square shape to the left of the polygon)

2 · 5 = 10m  (small rectangle shape bottom left) 8 - 6 = 2 for the length and 5 for the width by 8 - 3 = 5

56m + 40m + 48m + 10m = 154 [tex]m^{2}[/tex]

Answer:

Moderate

Step-by-step explanation:

I think sorry if its wrong

Answer:

8

Step-by-step explanation:

all numbers must be positive when you have the lines on the side

Answer:

8

Step-by-step explanation:

Answer:

0.9769

Step-by-step explanation:

Given the data :

X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1

Y : 35, 6, 45, 18, 20, 89, 84

The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.

Answer:

1. Tallahassee Jellyfish is the better offer 2. (5, 2000000)

Step-by-step explanation:

1.

Since g = 8, p1 = 400000 * 8 = $3,200,000

and p2 = 1250000 + 150000 * 8 = $2,450,000

2.

400,000g = 1,250,000 + 150,000g

250,000g = 1,250,000

g = 1,250,000 / 250,000 = 5.

at g=5, you can use either graph to find the y value.

400,000 * 5  = $2,000,000

(5, 2000000)

Answer:

b

Step-by-step explanation:

make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria

Well the answer is 3,375

Answer:

What do you mean?

Step-by-step explanation:

I would suggest adding more info

Answer:

[tex]y = 10x[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]

We have:

[tex](x_1,y_1) = (8,80)[/tex]

[tex](x_2,y_2) = (2,20)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20 - 80}{2- 8}[/tex]

[tex]m = \frac{-60}{-6}[/tex]

[tex]m = 10[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 10(x - 8) + 80[/tex]

Expand

[tex]y = 10x - 80 + 80[/tex]

[tex]y = 10x[/tex]

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

Answer:

The correct answers are [tex]x < 9[/tex] and any rational number less than 9.

Step-by-step explanation:

Since the inequality represented in the number line has the arrow going towards the left, and has a open/not highlighted circle on 9, that means the inequality represented by the number line is [tex]x < 9[/tex], which means the exact same as any rational number less than 9, so those two choices are the correct answer.