greatest common factor for 8x and 40

Answers

Answer 1

The GCF of 8x and 40 is 8

40 | 2
20 | 2
10 | 2
5 | 5
1

8 | 2
4 | 2
2 | 2
1

40 = 2³ * 5
8 = 2³

We take only common factors with lowest exponent.

So 2³ = 8

Related Questions

A couple has 4 children. what is the probability they would have four boys

Answers

.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,1/4

Find the mean of the data set. If necessary round to nearest tenth. 18.1,17.9,16.8,18.7,15.1

Answers

Finding the mean means find the average so we add are data set up and then divide it by the the amount we have in our data set. So

[tex]\frac{18.1+17.9+16.8+18.7+15.1}{5} = 17.32[/tex]

And if we round to the nearest tenth it would be 17.3

Find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equations. use s and t as your parameters.) x + y + z = 2

Answers

Final answer:

The parametric representation of the solution set for the equation x + y + z = 2 is x = t, y = 2 - s - t, z = s, with 's' and 't' as the parameters.

Explanation:

To find the parametric representation of the solution set of the linear equation x + y + z = 2, we first need to express two variables in terms of the third. Let's use 's' and 't' as parameters.

We can express x and y in terms of z. Let's express z as 's'. So, z = s.

The equation x + y + z = 2 thus becomes x + y = 2 - s. We can choose x = t and y = 2 - s - t.

So, the parametric representation of the solution set for the given linear equation is (x = t, y = 2 - s - t, z = s), where 's' and 't' are parameters that can assume any real value.

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is 11:17 equivalent to 17:11

Answers

Answer:

Step-by-step explanation:

If these are time values, ...

11:17 is about 5 hours 54 minutes earlier than 17:11.

___

If these are ratios, ...

11/17 is less than 1, whereas 17/11 is greater than 1

Each is the inverse of the other.

The ordered pair (–2, –4) is a solution of which system?

Answers

its just a matter of subbing....and for it to be a solution, it has to satisfy both inequalities.

y < = x + 2....(-2,-4)....x = -2 and y = -4
-4 < = -2 + 2
-4 < = 0 (true)

y > = x - 3.....(-2,-4)...x = -2 and y = -4
-4 > = -2 - 3
-4 > = -5 (true)

ur answer is the last one

The given ordered pair is the solution of y ≤ x + 2 and y ≥ x - 3. Option E is correct.

As of the given numeral, The ordered pair (–2, –4) is a solution of which system is to be determined.

What is inequality?

Inequality is defined as the relationship of an equation containing the symbol ( ≤, ≥, <, >) instead of the equal sign.

here,
(–2, –4) is a solution of y ≤ x + 2 and y ≥ x - 3,
Proof,
Substitute this ordered paired in the inequality,

-4 ≤ -2 + 2
-4 < 0
and
-4 ≥ -2 - 3
-4 > -5

Thus, the ordered pair supplied is the solution of y x + 2 and y x - 3. Option E is the right answer.

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Compound interest £2000 for 3 years 5.5% annum

Answers

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\£2000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\to &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\to &1\\ t=years\to &3 \end{cases} \\\\\\ A=2000\left(1+\frac{0.055}{1}\right)^{1\cdot 3}[/tex]

Ceremonies help individuals cope with loss as they facilitate the grieving process. Please select the best answer from the choices provided. T F

Answers

this answer is true ceremonies help deals with loss

Answer:

True

Step-by-step explanation:

Ceremonies do help individuals cope with loss as they facilitate the grieving process.

what is The cost per unit?

Answers

The cost per unit is the total expenditure incurred by a company to produce, store and sell one unit of a particular product or service. Unit costs include all fixed costs, and all variable costs, involved in production.

To figure your total manufacturing cost per unit, divide your total costs by the total number of units produced. For example, say for the year your company made 1 million units and incurred production costs of $3 million. Divide your $3 million costs by the 1 million units to find your cost per unit: $3.

Solve the equation 6x + 3y = 15 for y. What does y equal if x = 2? If x = 5?

Answers

Part a. 6x +3y = 15
3y = 15 -6x
y = 5 - 2x

Part b. y = 1

Part c. y = -5

Find parametric equations for the line through the point ( 0,3,2 ) that is perpendicular to the line ! ! x =1+t , ! ! ! y = 3−t , ! ! z = 4t , and intersects this line. (use the parameter t ).

Answers

wgats the choices????????????????????

A line passes through the point (d, d) and has a slope of k. Which equation models the line?

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ d}}\quad ,&{{ d}})\quad \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies k \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-d=k(x-d)\implies y-d=kx-kd \\\\\\ y=kx-kd+d[/tex]

june is working on an addition problem and starts with 17,985. after she adds, she still has 17,985. which property od addition did june use

Answers

June in this case use an identity property of addition. Identity property addition is one of the properties of addition which the sum of any number and zero will result to that number. In this case she starts with 17,985 after adding she still has the same number so we conclude that she use the identity property of addition.

2) Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3 1/5 inches long and he put them side by side, what would be the total length of all the pieces together?

Answers

You would do 20 • 3=60 and the you would add 20 • 1/5=4 so, your total is 64in.

358=15n+85 what does n equal

Answers

70. 15+70=85. Or 85-70=15

Which of the following is not an isometry?

rotation
dilation
translation

Answers

the answer is B. Dilitation

Answer:

B. Dilation.

Step-by-step explanation:

We are asked to find which transformation is not isometric.

We know that isometry preserves length.

We know that the length of a figure remains unchanged after rotation and dilation as they preserves length.

We also know that dilation either enlarges length or shrinks length of a figure, therefore, the correct choice is dilation.

Find an equation for the line with the given properties. Express the equation in slope-intercept form. Containing the points Upper P equals (-1, 3) and Upper Q equals (1, 0)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -1}}\quad ,&{{ 3}})\quad % (c,d) &({{ 1}}\quad ,&{{ 0}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-3}{1-(-1)}\implies \cfrac{0-3}{1+1} \\\\\\ \cfrac{-3}{2}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-3=-\cfrac{3}{2}[x-(-1)] \\\\\\ y-3=-\cfrac{3}{2}(x+1)\implies y-3=-\cfrac{3}{2}x-\cfrac{3}{2}\implies y=-\cfrac{3}{2}x-\cfrac{3}{2}+3 \\\\\\ y=-\cfrac{3}{2}x+\cfrac{3}{2}[/tex]

Evaluate. 7^2 - 3 + 9 × 8 ÷ 2

w =

Answers

7^2 - 3 + 9 x 8 / 2
49 - 3 + 9 x 8 / 2
49 - 3 + 72/2
49 - 3 + 36
46 + 36
82

w = 82

ymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of x pairs of cleats is
C(x) = 3250 + 5x + 0.1x2 (0 ≤ x ≤ 500).
Gymnast Clothing sells the cleats at $110 per pair. Find the revenue and profit functions. How many should Gymnast Clothing manufacture to make a profit?

Answers

The relationship between profit and revenue is:

Profit = Revenue - Total Cost
Since the cost is given as a function, the equation will be substituted as
Profit = Revenue - (3,250 + 5x + 0.1x²)

Now, the revenue is a linear graph because it is the number of pairs multiplied the fixed rate. So, the slope is constant.
Revenue = 110x --> this is the function for revenue
Thus, the equation for profit would be

Profit = 110x - 3,250 - 5x - 0.1x²
P = -0.1x²+105x-3,250 --> this is the function for profit

Now, to find the minimum value of x to make profit, differentiate P with respect to x and equate to 0.

dP/dx = 0 = -0.2x + 105
x = 525

Thus, the Gymnast Clothing should manufacture at least 525 pairs in order to make profit.

Find the determinant of the n×n matrix a with 's on the diagonal, 's above the diagonal, and 's below the diagonal

Answers

n x n euals n to the second power

Over last week,the daily low temperature in degrees Fahrenheit have been -4,6.2,18 1/2,-5.9,-1/4,and1.75.list these numbers in order from least to greatest

Answers

-5.9
-4
-1/4
.2
1/2
1.75
18

-5.9, -4, -1/4, 1/2, 1.75, 6.2, 18

Country A produces about eight times the amount of diamonds in carats produced in country B. If the total produced in both countries is 9,000,000 carats, find the amount produced in each country

Answers

that would be 9,000,000,000 times 8, wich is 72,000,000,000. Because 9*8 is 72 excepts theres a 9 million.

Let X = # carats produced in country B.
Then A + B = 8B + B = 9000000 9B = 9000000
B = 1000000
A = 8xB = 8000000

One positive number is 1/5 of another number. The difference between the two numbers is 60. Find the numbers.

Answers

Answer:

15 and 75

Step-by-step explanation:

[tex]n-second\ number\\\\\dfrac{1}{5}n-first\ number\\\\n-\dfrac{1}{5}n=\dfrac{4}{5}n-difference\ between\ the\ two\ numbers\\\\\text{Equation:}\\\\\dfrac{4}{5}n=60\qquad\text{multiply both sides ny 5}\\\\\not5\cdot\dfrac{4}{\not5}n=(5)(60)\\\\4n=300\qquad\text{divide both sides by 4}\\\\\dfrac{4\!\!\!\!\diagup n}{4\!\!\!\!\diagup}=\dfrac{300}{4}\\\\n=75\\\\\dfrac{1}{5}n=\left(\dfrac{1}{5}\right)(75)=\dfrac{75}{5}=15[/tex]

The two positive numbers are 15 and 75 respectively.

What is an expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the two numbers be x and y respectively. Now let corelate the statement given in question :

One positive number is 1/5 of another number which means x=(1/5) y

and, it is also given that the difference between the two numbers is 60 which means y -x = 60. Now solving these question by substitution method.

y-x = 60

5x-x= 60

4x = 60

x = 15

y = 75

Therefore, the two positive numbers are 15 and 75 respectively.

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Suppose that it costs $25 to place a classified advertisement in the newspaper, plus $3 for each line. Then the cost to place an ad x lines long is given by y dollars, where y=3x+25. Express an ordered pair the fact that a 2 line ad cost $31

Answers

substitute 2 for x:
y = 3(2) + 25

y = 6 + 25

y = 31

in (x,y) form:
(2, 31)

F(x)=x-2/x^3+x find the domain

Answers

hello :
f exist : x^3+x ≠ 0
but : x^3+x = 0
x (x²+1) =0
x= 0 x²+1 = 0 ( x² = -1 no reals solutions )
the domain is : D = ]-∞,0[ U ]0,+∞[

5 minus the product of V and 7

Answers

" the product " means multiply

5 - 7V <== ur expression

Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work Ms.A che wants to make at least $3,000 over the next three weeks so she can take a vacation. over the next three weeks, what is the maximum number of days she can be late to work and still reach her goal of making at least $3000?

Answers

She can be late 7 days max

Answer:

7 days

Step-by-step explanation:

Given: Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work.

To Find: maximum number of days she can be late to work and still reach her goal of making at least $3000?

Solution:

per week payment of Ms. Ache =[tex]\$[/tex] [tex]1250[/tex]

Fine for getting late a day = [tex]\$[/tex] [tex]100[/tex]

let number of days Ms. Ache gets late = [tex]\text{x}[/tex]

Amount Ms. Ache wants to make in three weeks = [tex]\$[/tex] [tex]3000[/tex]

maximum earning potential of Ms. Ache in 3 weeks = [tex]1250\times3[/tex]= [tex]\$[/tex] [tex]3750[/tex]

Net earning = maximum earning potential of Ms. Ache in 3 weeks - total fine

=[tex]\$ 3750 - 100\text{x}[/tex]

To reach a goal of [tex]\$[/tex] [tex]3000[/tex]

[tex]\$ 3750 - 100\text{x}[/tex] ≥ [tex]3000[/tex]

[tex]100\text{x}[/tex]≤[tex]750[/tex]

[tex]\text{x}\leq 7[/tex]

Maximum number of days she can be late to work and still reach her goal of making at least $3000 is [tex]7[/tex] [tex]\text{days}[/tex]

So is the answer - least is the negative first, them zero, them the positive?

Answers

Yes. That’s the order.

Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 4 h. Train B reaches station B after 312 h. Station A and Station B are 562.5 mi apart. What is the rate of the trains? Enter your answer in the box.

Answers

the answer is 75 mph i took the test and it said 75 not 1.78

Answer:

its 75 i did the math a calaculator

Step-by-step explanation:

-0.6, -5/8, -7/12, -0.72 least to greatest

Answers

The answer is -0.72, -5/8, -0.6, -7/12

3/5 of 40 dollar restaurant

Answers

40 * 3/5
120/5
24

Hope this helps!

To find the answer times: 3/5 x 40 = 24

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