division equation where 13 is quotient with the dividend a whole number and a unit fraction is the divisor

If you're talking about 6-digit numbers in base 10 (so there digits are one of the numbers 0-9), such a number can be made up of either

• two 1s and four 0s, or

• one 2 and five 0s

and the leading digit must be non-zero.

If such a number starts with 1, then there are 5 slots which can contain the other 1. So there are 5 numbers in this group.

If such a number starts with 2, the rest are 0s. So there is 1 number in this group.

Then there are only 6 numbers with 6 digits whose digital sum is 2.

110000

101000

100100

100010

100001

200000

Answer:

16 cups

Step-by-step explanation:

1 quart = 4 cups

The domain of the function for this situation is; s<= 7.

It follows from the task content that the perimeter , p, of a square is a function of its side length, s. The perimeter of the square is 28 inches or less.

On this note it follows that;

P = 4s <= 28

Hence, it follows that; s<=7.

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Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of the right angle triangle.

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour.

Here, Thus, Florida Avenue is hypotenuse triangular path and the other two sides are Capitol Street and H Street. The distance of  Florida Avenue is,

[tex]1^2+1.75^2=d^2\\1+3.0625=d^2\\4.0625=d^2\\d=\sqrt{4.0625}\\d=2.0156[/tex]

Thus, Jesse walks 2.0156 with 5 miles per hour. Thus, the time taken by him is

[tex]t_J=\dfrac{2.0}{5}\\t_j=0.4\rm\;hr[/tex]

Mark plans to jog back the way they came which is 2.75 miles (1+1.75) long with speed of 12 miles per hour. Thus, the time taken  by him is

[tex]t_M=\dfrac{2.75}{12}\\t_M=0.23\rm\;hr[/tex]

Thus, Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.

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Answer:140

Step-by-step explanation:

Answer:

B) sqrt(50)

Step-by-step explanation:

c=sqrt((sqrt(10)^2+sqrt(40)^2)=sqrt(10+40)=sqrt(50)

There are 10⁷ possible phone numbers from the digit 0 to 9.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set.

Here, there are total 10 possible digits (0 to 9) we can use to create 7 digit phone numbers.

For first place there are 10 possible digits.

similarly for second place again 10 possibilities and so on.

So total number of phone number = 10 X 10 X 10 X 10 X 10 X 10 X 10

                                                          = 10⁷

Thus, there are 10⁷ possible phone numbers from the digit 0 to 9.

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Possible phone numbers can be 10 x 9 x 8 x 7 x 6 x 5 x 4 (without repetition) = 10!/3!.

10 10 10 - 10 10 10 10= [tex]10^{7} =1,00,00,000[/tex]. (with repetition)

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner.

There are 7 digit phone number represented with a XXX-XXXX .

So the first x can be 10 different numbers

let us take

10 ___ ___ ____ ____ ____ ____, but which ever number you use, it is then used up.

So then you only have 9 numbers left

10 x 9 x ___ x ___ x ___ x ___ x ___ .

Then, once that number is used it can't be used again, so on

10 x 9 x 8 x 7 x 6 x 5 x 4 (without repetition) = 10!/3!

If the repetition takes place then,

the first place have possibilities of 10 digits

10 __ __ - __ __ ___ __

Now, again repetition is allowed again there are possibilities of 10 digits.

10 10 __- __ __ __ __

and carrying the same way,

10 10 10 - 10 10 10 10= [tex]10^{7} =1,00,00,000[/tex].

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Answer:

see the attachment!

i hope this can help you.

Answer:

6

Step-by-step explanation:

Given :

⇒ The triangles are similar

⇒ The sides are in proportion

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

Solving :

⇒ [tex]\frac{6}{15+6} = \frac{8}{3x+10}[/tex]

⇒ [tex]\frac{6}{21}= \frac{8}{3x+10}[/tex]

⇒ [tex]\frac{2}{7} = \frac{8}{3x+10}[/tex]

⇒ [tex]\frac{1}{7}=\frac{4}{3x+10}[/tex]

⇒ 1(3x + 10) = 7(4)

⇒ 3x + 10 = 28

⇒ 3x = 18

⇒ x = 6

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

Solution :

The value of x is 6

Answer:

Step-by-step explanation:

Answer:

[tex]p = (2.33 \times {10}^{4})( {1.07}^{6} )[/tex]

Step-by-step explanation:

the surface area of a figure is always the result of a combination of multiplication(s) of 2 dimensions (side lengths).

and the volume of 3 dimensions (side lengths).

"similar figures" means that they share the same angles. and that there is one scaling factor that applies to all sides (and all other lines like heights).

so, no matter what sides are used to calculate the surface areas and the volumes, it is the same scaling factor used for each of them.

in a multiplication of 2 sides (for the area) the scaling factor is therefore applied twice and hence squared, in a multiplication of 3 sides it is applied 3 times and therefore cubed.

let's call the scaling factor f.

1472 × f³ = 2875

and then

928 × f² = large S.A.

let's use the first to get f :

1472 × f³ = 2875

f³ = 2875 / 1472 = (125 × 23) / (64 × 23) = 125/64

f = 5/4

f² = (5/4)² = 5²/4² = 25/16

large S.A. = 928 × 25/16 = 58 × 25 = 1450 m²

Answer:

The correct answer should be 8.5 (I think) : )

Answer:

2

Step-by-step explanation:

3n+2=8

Collect like terms

3n=8-2

3n=6

Divide both sides by 3

3n÷3=6÷3

n=2

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]

★ 1st let's know what is the given figure is and it's related concepts for solving !

➣ Given Triangle is a right angled triangle

➣ It is having 3sides let's know what are the name of these sides

➣ 1st AB is know as hypotenuse

➣ 2nd AC and is called Base of the triangle

➣ 3rd BC whích is know as perpendicular of the triangle

➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.

➣ Perpendicular(P):- Exactly upright; extending in a straight line.

➣ Base(B):- it also known as the side opposite to hypotenuse

➣Perpendicular and base are know as the leg of right angled triangle

➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"

➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides

★ Note :- The Pythagorean theorem only applies to right triangles.

[tex] \rule{70mm}{2.9pt}[/tex]

★ Writing this theorem mathematically ★

[tex] { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}[/tex]

★ Here ★

➣ Base (AC)= 22cm

➣ Perpendicular (height) (BC)= 8cm

[tex] \rule{70mm}{2.9pt}[/tex]

✝ Assumption ✝

➣ let Hypotenuse ( AB ) = "x"

[tex] \boxed{ \rm{ \pink ➛AB^2= AC^2+BC^2}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

✝ let's substitute values ✝

[tex]\rm{ \pink ➛x^2=22 ^2+8^2} \\ \rm{ \pink ➛x^2 = 484+ {64} } \\ \rm{ \pink ➛ {x}^{2} = 548 } \\ \rm{ \pink ➛= {x} = \sqrt{548} } \\ \rm{ \pink ➛ x = 2\sqrt{137} \: or23.4} \\ [/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hence Hypotenuse (AB) in the given triangle is of

[tex] { \boxed{✛\underline{ \boxed{ \sf{2\sqrt{137} \: or23.4\green✓}}}✛}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Step-by-step explanation:

5

A, d and e are the answer, multiplication/division never changes

6. yes, perpendicular lines are inside of each other always. how ever not all intersecting lines are perpendicular, for they're not 90° degrees.

3. ? (sorry)

4. ??

2. ?

The equation for a horizontal plane through the point (0,−2,−3) is z= -3.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's assume n is the normal vector for the horizontal plane < 0, 0, 1 > .

The co-ordinate of the point is (0,−2,−3)

The general equation of a plane is -

[tex]n < x-x_0 , y - y_0, z-z_0 > =0\\\\ < 0,0,1 > \\\\0(x)+0(y+2) +1(z+3)\\\\z = -3[/tex]

Thus, The equation for a horizontal plane through the point (0,−2,−3) is z= -3.

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The sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Sample is the particular group which is gathered from a data. A professor teaches four types of science classes.  Professor wants to try out a new style of exam, thus, during finals,

The gives the new exam to 15 randomly selected students in each class and remaining other students take the regular exam. Thus, the sample is 15.

Hence, the sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.

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Answer:

B:  y = -(1/2)x + 4

Step-by-step explanation:

I'll assume the x term is missing from options A and B:

IThey should read:

A. Y= - (1/2)x+ 8

B. Y= - (1/2)x+4

Use the two given points to calculate the slope of the line of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

(0,4) and (8,0)

Rise = (0 - 4) = -4

Run = (8 - 0) = 8

Slope, m, = -4/8 or -(1/2)

The perpendicular line has the form y = -(1/2)x + b.  There are options that have a -(1/2) slope:  A and B.  

To narrow it down, we need to calculate a value of b.  

Use y = -(1/2)x + b and solve for b using either of the two given points [(0,4) or (8,0)].  I'll use (0,4).

y = -(1/2)x + b

4 = -(1/2)(0) + b

b = 4

The equation is thus y = -(1/2)x + 4, option B

Answer:

1300 pens

Explanation:

Set up equations where p is pencil, q is pens

Equation's:

1st equation: 0.05p + 0.25q = 400

2nd equation: p = 1500

Insert equation 2 into 1:

0.05(1500) + 0.25q = 400

75 + 0.25q = 400

0.25q = 325

q = 325/0.25

q = 1300

Answer:

Below in bold.

Step-by-step explanation:

This is a regular polygon so all sides are congruent, therefore:

The perimeter of the polygon = 6*34 = 204 units.

We can divide the polygon into 6 conguent triangle with height 30 and base 34.

So area of 1 triangle = 1/2*34*30 = 510.

So area of the polygon = 6 * 510 = 3060 unit^2.

Perimeter of the polygon = 6*34 = 204 units.

Answer:

(4,0)

Step-by-step explanation:

standard equation for a circle is (x−h)^2 +(y−k)^2 =r^2

circle center: h, k with radius: r

(x-(+4)^2 + (y-0)^2 = 5

the center is (4, 0)

Answer:

[tex]9 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ \\ = \sqrt{ {2}^{2} \times 2} + 3 \sqrt{2} + \sqrt{ {2}^{4} \times 2 } \\ \\ = 2 \sqrt{2} + 3 \sqrt{2} + {2}^{2} \sqrt{2} \\ \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]

Answer:

2.05 · 10^-1

Step-by-step explanation:

(5·10^-3)+(2·10^-1) = 2.05 × 10^-1

The statement that best describes the relationship between lines s and t is: Lines s and t are parallel.

Parallel lines are as those lines that does not intersect one another despite being equal to each other.

Lines s and t are said to be parallel lines because they are cut by transversal which in turn means that transversal intersect lines s and t to make it parallel lines.

Therefore the statement that best  describes the relationship is :Lines s and t are parallel.

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Answer:

500

Step-by-step explanation:

Hello!

Let the smallest number be x. The next number would be x + 1, then the next would be x + 2, then x + 3.

The sum of these four is 1998.

Solve for x:

The third number is (x + 2), so simply add 2 to 498 = 500

The third number is 500.

All 4 numbers are 498, 499, 500, and 501.

Answer:

Step-by-step explanation:

what we know is that 45% of the total was 180 (they voted red)

55% of the total voted blue.

To find the total, we need to set up a cross-multiplication equation

180/45 = ?/100

180 times 100 is 18000

18000/45 = 400

400 students were surveyed in total

we can check this by getting 55% of this, and adding it to 180.

If it equals to 400, then we're right.

55% of 400 = 220

220 + 180 = 400

please give brainliest! hope this helps :)

I'm pretty sure the answer is 232cm

11x8=88

88÷2=44

44x4=176

8x7= 56

176+56=232

Correct me if I'm wrong :)

Answer:

Surface area =

160 sq cm

Step-by-step explanation:

To find surface area, you find the area of all the faces and add them together. There are 4 faces (flat surfaces) The base is a triangle and the 3 sides are also triangles. The area of a triangle is:

A = 1/2 b•h

For the base,

A = 1/2•8•7

A = 28 sq cm

For the sides, we can do one calculation and times by 3 because they are all the same.

A = 1/2•8•11

= 44 sq cm

One face is 44, 3×44 is 132 for all three faces.

Surface area =

28 + 132

= 160 sq cm

Answer:

$11.50

Step-by-step explanation:

15% of 10 is 1.5

10-1.5=8.5

20-8.5=11.5