The length of cell A is

3×10−5

m. The length of cell B is

0.000001

m. What is the ratio of cell​ A's length to cell​ B's length?

Answer:

w=40

Step-by-step explanation:

Answer:

#1) 25  degrees   #2) 155 degrees    #3) 25  degrees    #4) 25  degrees   #5) 5x+15= 110

Step-by-step explanation:

basically the use the vertical angle relationship to figure it out

that would mean that 4=155 and 3=1 and since the relationship is straight angle pair it means that 155+ x= 180    180-155= 25  

5) CDE= FDG this is the vertical angle rule so 5x+15= 8x-42      

solve that by adding like terms, 5x-15= 8x-42 +15      by doing adding to both sides it eliminates the 15 because you added it with the like terms, -42 and got -57

-57+8x= 5x   now subtract 8 on both sides, -57= -3x    divide and it equals 19

now plug that back into the eqaution of 5x+15   5(19)= 95 + 15= 110

Answer:

The problem to get 358² is solved by adding 357 twice and then add 1 to the value of 357²

Step-by-step explanation:

The given information are;

The square of 356 = 126,736

The square of 357 = 127,449

We note that 357² = (356 + 1)² = 356² + 2×356 + 1 = 126,763 + 712 + 1 = 127,449

We can write the above equation as follows;

357² = (356 + 1)² = 356² + 356 + 356 + 1 = 126,763 + 712 + 1 = 127,449

357² = 127,449

Similarly, we have;

358² = (357 + 1)² = 357² + 357 + 357 + 1 = 128,164

358² =  128,164

We can also look at the question as forming squares with tiles

To form the square tile with 358 units per side, we add an extra row and column of 357 tiles each. Completing the figure with an extra tile at the top right or left corner

Therefore, the area of the 358 unit per side square = The area of the 357 unit per side + 357 + 357 + 1 =  128,164

Given:

A 4-digit number contains at least one even digit.

To find:

How many such numbers are there?

Solution:

Digits are 0,1,2,3,4,5,6,7,8,9.

Number of odd digits = 5

Number of even digits = 5

4-digit numbers are from 1000 to 9999.

Total number of 4-digit numbers = 9000

Possible ways to get odd digits on all the 4 places is

[tex]5\times 5\times 5\times 5=625[/tex]

It means 625 numbers are their in which all 4 digits are odd.

To find total 4-digit number that contains at least one even digit, subtract the numbers which contains only odd numbers from the total 4-digit numbers.

[tex]9000-625=8375[/tex]

Therefore, total 4-digit number that contains at least one even digit is 8375.

Answer:

1. -1

2. 25°

3. 26 1/4

Step-by-step explanation:

1. 14-8 is 6, -2 - 4 = -6, 6 ÷ -6 is -1

2. 75 + 80 = 155, 180 - 155 = 25°

3. cross multiply 4/5 = 21/x  (4x= 105) = 26 1/4 or 105/4

I hope this helped, please mark Brainliest, thank you!

Answer:

What she said

Step-by-step explanation:

Answer:

-3n-7

Step-by-step explanation:

n-7-4n

and then u combine like terms and u get

-3n-7

Answer:

-3n-7

Step-by-step explanation:

n also means 1n

Answer:

6x-5

Step-by-step explanation:

Alright let's begin.

6 times a number means 6 times x. So 6x.

Then when it says decreased by 5 it means you subtract 5!

Your expression would look like this:

6x-5

Hope it helps! Mark brainliest if possible

Answer:

its C :)

Step-by-step explanation:

Answer:9 & 7

Step-by-step explanation:

Let x be the first number and y be the second.

2x + y = 25

3x - y =20

1) Add them together.

5x = 45

x = 9

2) Solve for y.

2(9) + y = 25

y=7

3) Check your work on the other equation.

3(9) - (7) = 20

27 - 7 =20

20 = 20

Answer:

-2

Step-by-step explanation:

Answer:

it represents the following

read in my explanation

Step-by-step explanation:

A bar chart is a graph with rectangular bars. The graph usually compares different categories. Although the graphs can be plotted vertically (bars standing up) or horizontally (bars laying flat from left to right), the most usual type of bar graph is vertical.

The horizontal (x) axis represents the categories; The vertical (y) axis represents a value for those categories. In the graph below, the values are percentages.

Answer:

The unit price in this situation is the approximate cost per pound of clementines. So, the x-axis should represent the number of pounds. The y-axis should represent the cost.

Step-by-step explanation:

Plato correct answer word for word

Answer:

false

Step-by-step explanation:

Answer:

false you will need more info

Step-by-step explanation:

Answer:

$63.55

Step-by-step explanation:

Taxes are charges paid by individuals and enforced by the government in other to fund government spending and various public expenditures.

The flowers cost $59.95 and tax is 6%.

Tax = 6% of flower cost = 0.06 × $59.95 = $3.6

The  total cost of the flowers is the sum of tax and the cost of flowers, hence:

Total cost of the flowers = $59.95 + $3.6

Total cost of the flowers = $63.55

Answer:   x = -3 + √3     or     x = -3 - √3

Step-by-step explanation:

X²+6x+6

now breaking 6x into 2x and 3x we get ,

X²+3x+2x+6

taking x common and 2 common we get ,

x(x+3)+2(x+3)

taking (x+3) common

(x+3) (x+2)

so comparing with zero to get values of x ,

either

x+3=0

x=-3

or x+2=0

x=-2

Answer:

Step-by-step explanation:

first solve for y (or x) I chose y.  

-11 + 9y = -12

(-11) - (-12) =  1

9y = 1

9/1 = 1

y=1, now for x.

-11x + 9 = -12

-12 - 9 = -21

-11x = -21

-21/-11 = -32

x = -32.

Answer:

to evaluate a function, substitute the input

Step-by-step explanation:

(the given number or expression) for the function variable (place holder, x) replace the x with the number or expression. 1. given function f (x)=3x -5 finf (f) 4.

Answer:

Answer:First step: Write the whole number and the mixed number as improper fractions.

Second step: Write the reciprocal of the divisor, 2/5, and multiply.

Third step: Simplify, if possible. ...

Fourth step: Perform the simple multiplication of the numerators and the denominators.

Step-by-step explanation:

Answer: aproximently d

Step-by-step explanation:

Answer:

[tex]y=-2x-4[/tex]

Step-by-step explanation:

Perpendicular Bisector

The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:

[tex]\displaystyle x_m=\frac{-3+5}{2}=1[/tex]

[tex]\displaystyle y_m=\frac{-8-4}{2}=-6[/tex]

Midpoint: M(1,-6)

Let's find the slope of the given segment. The slope can be calculated with the formula:

[tex]\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}[/tex]

If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

[tex]m_1.m_2=-1[/tex]

Solving for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2[/tex]

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:

[tex]y-y_o=m(x-x_o)[/tex]

[tex]y-(-6)=-2(x-1)[/tex]

Operating

[tex]y+6=-2(x-1)[/tex]

[tex]y+6=-2x+2[/tex]

Rearranging

[tex]\boxed{y=-2x-4}[/tex]

Answer:

2799366

Step-by-step explanation:

Answer: 1 cup

Step-by-step explanation:

he has already put in 4, and he needs 5

5-4 = 1

Answer:

Step-by-step explanation:

I more cup

Answer:

oh god my calculator can't handle this

Step-by-step explanation:

so your answer is 3, take it or leave it

No way is that an actual question that you have to do for school. I tried solving it, but my calculator can't take much. Plus, I tried counting how many 0's and 5's and 3's and 4's there were but my tiny brain can't remember no matter what.

I am bored, though, so I did take away all of the extra numbers. I got 691,360 from solving 10 x 1695 + 334 x 40.

You're welcome, I guess.

Step-by-step explanation:

[tex]\sqrt {47}[/tex]

Answer:

1. (-6,1)

2. (-1.5,4)

Step-by-step explanation:

1. (-6,3) and (-6,-1)

Midpoint = [tex](\frac{-6+ -6}{2} , \frac{3 + -1}{2}) = (-6, 1)[/tex]

2. (-3,-1) and (0,9)

Midpoint = [tex](\frac{-3 + 0}{2} , \frac{-1 + 9}{2} ) = (-1.5,4)[/tex]

Answer:

Junior PSAT

Training Packet

2016-17

Math Department  

Answer Key

Section 3: Math Test — No Calculator

QUESTION 1.

Choice C is correct. Subtracting 6 from each side of 5x + 6 = 10 yields 5x = 4.

Dividing both sides of 5x = 4 by 5 yields x =

_4

5

. Te value of x can now be

substituted into the expression 10x + 3, giving 10 ( _4

5 ) + 3 = 11.

Alternatively, the expression 10x + 3 can be rewritten as 2(5x + 6) − 9, and

10 can be substituted for 5x + 6, giving 2(10) − 9 = 11.

Choices A, B, and D are incorrect. Each of these choices leads to 5x + 6 ≠ 10,

contradicting the given equation, 5x + 6 = 10. For example, choice A is

incorrect because if the value of 10x + 3 were 4, then it would follow that

x = 0.1, and the value of 5x + 6 would be 6.5, not 10.

QUESTION 2.

Choice B is correct. Multiplying each side of x + y = 0 by 2 gives 2x + 2y = 0.

Ten, adding the corresponding sides of 2x + 2y = 0 and 3x − 2y = 10 gives

5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. Finally, substituting

2 for x in x + y = 0 gives 2 + y = 0, or y = −2. Terefore, the solution to the

given system of equations is (2, −2).

Alternatively, the equation x + y = 0 can be rewritten as x = −y, and substituting x for −y in 3x − 2y = 10 gives 5x = 10, or x = 2. Te value of y can then

be found in the same way as before.

Choices A, C, and D are incorrect because when the given values of x and

y are substituted into x + y = 0 and 3x − 2y = 10, either one or both of the

equations are not true. Tese answers may result from sign errors or other

computational errors.

QUESTION 3.

Choice A is correct. Te price of the job, in dollars, is calculated using

the expression 60 + 12nh, where 60 is a fxed price and 12nh depends on the

number of landscapers, n, working the job and the number of hours, h, the job

takes those n landscapers. Since nh is the total number of hours of work done

when n landscapers work h hours, the cost of the job increases by $12 for each

hour a landscaper works. Terefore, of the choices given, the best interpretation

of the number 12 is that the company charges $12 per hour for each landscaper.

Choice B is incorrect because the number of landscapers that will work each

job is represented by n in the equation, not by the number 12. Choice C is

incorrect because the price of the job increases by 12n dollars each hour,

which will not be equal to 12 dollars unless n = 1. Choice D is incorrect

because the total number of hours each landscaper works is equal to h. Te

number of hours each landscaper works in a day is not provided.

QUESTION 4.

Choice A is correct. If a polynomial expression is in the form (x)2

+ 2(x)(y) +

(y)2

, then it is equivalent to (x + y)2

. Because 9a4

+ 12a2

b2

+ 4b4

= (3a2

)2

+

2(3a2

)(2b2

) + (2b2

)2

, it can be rewritten as (3a2

+ 2b2

)2

.

Choice B is incorrect. Te expression (3a + 2b)4

is equivalent to the product

(3a + 2b)(3a + 2b)(3a + 2b)(3a + 2b). Tis product will contain the term

4(3a)3

(2b) = 216a3

b. However, the given polynomial, 9a4

+ 12a2

b2

+ 4b4

,

does not contain the term 216a3

b. Terefore, 9a4

+ 12a2

b2

+ 4b4 ≠ (3a + 2b)4

.

Choice C is incorrect. Te expression (9a2

+ 4b2

)2

is equivalent to the

product (9a2

+ 4b2

)(9a2

+ 4b2

). Tis product will contain the term (9a2

)

(9a2

Answer:

that looks hard

Step-by-step explanation:

b

Answer:

(6,31)

Step-by-step explanation:

solve the both equation;

3X+13=5X+1

or, 12=2X

or, X=6

substitute the value of x in the equation;

y=5X+1

or, y=5×6+1

or, y=31