Answer:
2
Step-by-step explanation:
The number of oranges he has is a multiple of 6, so the number can be
6, 12, 18, 24, 30, 36, 42, 48, 54, etc.
He sells one orange, so now he an have:
5, 11, 17, 23, 29, 35, 41, 47, 53, etc.
All numbers above up to 53 are multiples of 1, so n can be 1.
Also 5 and 35 are multiples of 5, so n can be 5.
All numbers other than 5 and 35 are prime.
Answer: 2
A vending machine accepted any combination of nickels, dimes, and quarters that added to $0.40. How many different combinations of coins were possible?
Answer: 1 quarter, 1 dime and 1 nickel.
Step-by-step explanation:
Quarter: 25 cents.
Dime: 10 cents
Nickel: 5 cents
25 + 10 = 35
35 + 5 = 40
Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.
2. Solvex2 - 6x = -5 by completing the square , Show all work for the steps below . ( a ) Forx ? - 6x + = -5+ , what value of c is used to complete the square ? ( b ) Substitute the value for c in Part 2 ( a ) . Then complete the square to rewrite the equation as the square of a binomial . ( c ) Solve for x
Answer:
see explanation
Step-by-step explanation:
Given
x² - 6x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]
(x - 3)² = 4 [ part b ]
Take the square root of both sides
x - 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 3 to both sides )
x = 3 ± 2
Thus part c is
x = 3 - 2 = 1
x = 3 + 2 = 5
7/13 + 1/5 (its in fractions)
Answer:
48 ÷ 65
Step-by-step explanation:
hope it helps you
Answer:
[tex]\frac{48}{65}[/tex]
Step-by-step explanation:
Step 1: Find LCM for denominators
13(5) = 65
So we need to convert our fractions to add them
Step 2: Convert [tex]\frac{7}{13}[/tex] by multiplying both top-bottom by 5
[tex]\frac{7}{13} (\frac{5}{5} ) = \frac{35}{65}[/tex]
Step 3: Convert [tex]\frac{1}{5}[/tex] by multiplying both top-bottom by 13
[tex]\frac{1}{5} (\frac{13}{13} ) = \frac{13}{65}[/tex]
Step 4: Add the converted fractions
[tex]\frac{13}{65} +\frac{35}{65} =\frac{48}{65}[/tex]
And we have our answer!
Someone pls help . Thank you sm ! i forgot how to do this lol .
Answer:
x = - 20, h = 34
Step-by-step explanation:
i can't tell ypou what the class period is, but for -x = 20, multiply each side by -1, then you get x = -20
-32 = 2-h
+32 . +32
0=34-h
+h . +h
34=h
flip
h=34
you move up 7 units and left 6 units. you end at (-1,5). where did you start?
Answer:I beleive it is (5,-2)
Step-by-step explanation:
Patrick graphed (shown below) the high temperatures (in °C) that he experienced on each day of his trip to
Homer, Alaska
What is the meaning of point A?
Answer:
(7, -5.5)
Step-by-step explanation:
is seen below on this graph (7, -5.5) shows x = 7 and y = -5.5
PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?
(−4, 18)
(0, -2)
(-8, -2)
(−4, −18)
===================================================
Explanation:
A graph is a nice addition (and it will likely help us see the vertex directly), but it isn't necessary because we can use the equation given to us. Though I recommend using a graphing calculator to confirm the answer.
The original function is the same as y = 1x^2+8x + (-2). We see that it is in the form y = ax^2+bx+c where
a = 1
b = 8
c = -2
Use the values of 'a' and b to get the value of h, which is the x coordinate of the vertex.
h = -b/(2a)
h = -8/(2*1)
h = -4
The x coordinate of the vertex is x = -4. Plug this into the original equation to get
f(x) = x^2+8x-2
f(-4) = (-4)^2 + 8(-4) - 2
f(-4) = -18
Plugging x = -4 into f(x) leads to y = -18. The point (-4, -18) is on the parabola. Furthermore, this is the vertex (h,k)
------------
Alternatively, you can complete the square as shown below
y = x^2 + 8x - 2
y = (x^2 + 8x) - 2
y = (x^2 + 8x + 0) - 2
y = (x^2 + 8x + 16 - 16) - 2
y = (x^2 + 8x + 16) - 16 - 2
y = (x+4)^2 - 18
y = 1(x+4)^2 - 18
y = 1(x-(-4))^2 - 18
The last equation is in the form y = a(x-h)^2 + k with (h,k) = (-4,-18) being the vertex. The 16 is the result of taking half of 8 and squaring that result. We have 16-16 = 0 to make sure that we don't change the equation and keep things balanced. This is the same as adding 16 to both sides. All of this is done so we can end up with the (x+4)^2 perfect square portion.You can expand out (x+4)^2 - 18 and you should get x^2+8x-2 again.
Find the value of y and x.
Answer:
x = 130°y = 65°Step-by-step explanation:
All inscribed angles intercepting the same arc have the same measure.
If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:
y = 65°.
The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.
x = 130°.
Town B is 250 km from town A on a bearing of 080°.
Town C is 250 km from town B on a bearing of 220°.
What is the bearing from town A to town C?
Answer:
Step-by-step explanation:
What is 3 divided by 2,127
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]3\ \div \ 2127[/tex]
[tex]= \frac{1}{709}[/tex] (Decimal: 0.00141)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
HELP MEH HELP MEH PLZ
Answer:
[2×10*(-3) × (4×10*(4)] = 80
Step-by-step explanation:
First of all 0.002 is 10*(-3) and not 10(-2) , so you can eliminate the first 2 answers.
Second of all, according to the calculator the left equation is correct, while the right one isn't... so there you go
Glad to help :)
How would I solve this question? y = -1 1/8 - 7/8x -4x + 9y = -22 x = ?, y = ?
I NEED THE ANSWER ASAP
The number of students who smoke cigarettes at Broxton College is decreasing at a rate of one smoker every 6.31 days. At what rate in smokers per year is the number of smokers declining? Assume 365 days in a year and round to the nearest tenth of a smoker per year
Answer:
57.8
Step-by-step explanation:
We can set up a proportion for this, assuming x is the smokers lost in 365 days.
[tex]\frac{1}{6.31} = \frac{x}{365}[/tex]
Using the cross products property, we know that x will be equal to:
[tex](365\cdot1) \div 6.31\\365\div6.31\\\\\approx 57.8[/tex]
Hope this helped!
can someone explain how to do this please
Answer:
2/5 [tex]cm^2[/tex]
Step-by-step explanation:
To find the area of a rectangle do A = bh
When you substitute 4/6 for base and 3/5 for height it will be A = 4/6 x 3/5
This means the area is 2/5
Answer:
2/5 cm^2
Step-by-step explanation:
The area of a rectangle is found by
A = l*w
A = 4/6 * 3/5
Rewriting
=4/5 * 3/6
= 4/5 *1/2
= 2/5 cm^2
6.21(3.1) answer for number 6
TELL ME THE FORMULA FOR VOLUME AND SURFACE AREA OF PRISMS
Answer:
surfacevolume = 1/2 (bh) l
surfacearea = bh + pl
Half of what?= 32 1/2
Half of the number 65 is [tex]32\frac{1}{2}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given fraction is [tex]32\frac{1}{2}[/tex].
Let x be unknown number.
Then, the equation is
1/2 of x=[tex]32\frac{1}{2}[/tex]
x/2 =32.5
x=65
Therefore, half of the number 65 is [tex]32\frac{1}{2}[/tex].
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Please help with 2 and 3 for maths
Answer:2-4=
Step-by-step explanation:y-16-(-42)
y-16+16
y-32
y-16-(-22)
y-16+4
y-20
y-16-(02)
y-16
y-16-(42)
y-0
Answer:
The answer is 2-4
Step-by-step explanation:
The polynomial function f (x) = 5 x Superscript 5 Baseline + sixteen-fifths x minus 3 is graphed below. On a coordinate plane, point P is shown on the graph of a function. Point P is at (0.6, 0). Which is a potential rational root of f(x) at point P?
Answer:
3/5
Step-by-step explanation:
What divisor is represented by the synthetic division below? x + 5. One factor of x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5 3.
The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
What is the rational root theorem?The rational root theorem is used to determine the possible rational roots of a polynomial function
The equation of the function is given as:
[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]
Considering a polynomial function, f(x).
Such that:
[tex]f(x) = px^n + .......... +q[/tex]
The possible rational roots are:
[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
So, we have:
[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]
List the factors of 3 and 5
[tex]Roots =\pm \frac{1,3}{1,5}[/tex]
Split
[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]
Simplify
[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Hence, the potential rational roots are:
[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Read more about potential rational roots at:
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What is the slope of the line through (2,-2) and (9, 3)
Answer:it is 5/7
Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7
Answer:
slope = [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)
m = [tex]\frac{3+2}{9-2}[/tex] = [tex]\frac{5}{7}[/tex]
help me i need help i am bad at math
Answer:
4x10⁷is more than 4x10¹⁰
Which of the following represents continuous data? A. Amount of coins in your pocket B. Time it takes to count the coins in your pocket C. Number of collector coins you own D. Value of the coins in your pocket
Answer:
Time it takes to count the coins in your pocket
Step-by-step explanation:
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!
Answer:
A.
Step-by-step explanation:
Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.
The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.
The area of the rectangle with a length of 20mm and height of 14 mm is,
Area of the rectangle = 20mm × 14mm
= 280 mm²
The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,
Area of the triangle = (1/2) × 6mm × 14mm
= 42 mm²
Now, the total area of the given figure can be written as,
The total area of the given figure
= Area of the rectangle + Area of the triangle
= 280 mm² + 42 mm²
= 322 mm²
Hence, the area of the given figure is 322 mm².
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For lunch, you get tacos that cost $5.50. You also get chips and salsa for $3.99. What is the total cost of your lunch?
Answer:
9.49
Step-by-step explanation:
Add the price of the chips and salsa to the price of the tacos
5.50
+3.99
---------------
9.49
Answer: $9.49
Step-by-step explanation:
0+9 is 9 and 5+9 is 14 but carry the 1 to the left and add 5+3+1 and you get your answer $9.49
$5.50
+$3.99
————
$9.49
The following frequency table shows the number of hours each of the staff members at Eroy's Electronics slept Thanksgiving night. Find the mean number of hours of sleep.
Answer:
Mean
=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees
= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1
= 3+0+0+12+7+8/ 1+0+0+2+1+1
= 30 / 5
= 6
So the mean of number of hour sleep is 6 hours.
I hope this helps
if u have question let me know in comments ^_^
Answer:
Step-by-step explanation:
Mean
=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees
= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1
= 3+0+0+12+7+8/ 1+0+0+2+1+1
= 30 / 5
= 6
So the mean of number of hour sleep is 6 hours.
I hope this helps
kristen and melissa spent 35% of their $32 on movie tickets. how much money did they spend
Answer:
11.2$
Step-by-step explanation:
Kristina and Melissa had 32$ at total
● 32$ => 100%
They have spent 35%
Let x be that amount
● x => 35%
●32 => 100
● x => 35
● x = (35×32)/100 = 11.2$
They have spent 11.2$
Answer:
They spent $20.80
Step-by-step explanation:
Since they had $32 and spent 35% of it you would do 32 * 35%
then you would get 11.2
now that is not the answer because that is just what 35% of 32 is
to get the answer you would then subtract 11.2 from 32 to get 20.8
and since this is a matter of money you would write 20.8 as $20.80.
At the same time, Sam and Fred who are 168 miles apart begin moving toward each other. Find the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph.
Answer: 8 hours
Step-by-step explanation:
Let x be the time before they meet ( in hours)
Speed of Sam = 12 mph
Sped of Fred = 9 mph
Distance = Speed × time
Distance covered by Sam in x hours = 12x
Distance covered by Fred in x hours = 9x
(Distance) (rate1) (time1) (rate2) (time2)
Total distance between them: 168 = 12 x + 9 x
[tex]\Rightarrow\ 168= 21x\\\\\Rightarrow\ x=\dfrac{168}{21}=8[/tex]
Hence, the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph. = 8
Find the volume. Show work plz
Answer:
[tex]93\frac{1}{3}[/tex] [tex]yd^{3}[/tex]
Step-by-step explanation:
The volume of a pyramid is:
[tex]V=\frac{lwh}{3}[/tex] (basically saying that you multiply the length, width, and the height together and then you divide that by 3)
Now, let's do the first part.
8 × 5 × 7 = 280
Now, let's divide.
280 ÷ 3 = 93 1/3
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
During a certain 25-year period, the consumer price index (CPI) increased by 99%,but during the
next 25-year period, it increased by only 1%. Which of these conditions must have existed during the
second 25-year period?
A. Conflation
B. Deflation
C. Inflation
D. Stagnation
For the next 25-year period,(CPI) is increased by only 1% due to Inflation and Stagnation.
What is Stagnation ?
Stagnation is a situation of slow economic growth and relatively high unemployment (which basically means that aggregate production is reducing and some of the inputs of the economy, such capital or labor, are unemployed) , accompanied by rising prices, or inflation.
In terms of national accounting, it means a reduction in gross domestic product (GDP), with inflation (rise in all prices in the economy).
In terms of aggregate demand and supply models, stagnation is the result of a contraction of aggregate supply, which ceteris paribus, results in lower levels of production and higher prices.
Many theories have tried to explain this phenomena. Common interpretations link stagnation with and increase of the cost of production in the economy (that might be generated by an increase of gasoline for example), and its implications in the production (lower production because of higher costs), consequently unemployment and a rise of prices due to the increase of cost.
Here, During a certain 25-year period, the consumer price index (CPI) increased by 99% and during the next 25-year period, it increased by only 1% which shows slow economic growth which can be due to Inflation and Stagnation.
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Please help ASAP!!!!!!!
Answer:
$86.81
Step-by-step explanation:
Using the given formula, we want to compute A for ...
P = 4750
r = 0.2279
n = 365 . . . . . assuming "exact" interest
t = 1 or 30
For 1 day late:
A = 4750(1 +0.2279/365)^(365·(1/365)) = 4752.97
For 30 days late:
A = 4750(1 +0.2279/365)^(365·(30/365)) = 4839.78
The difference in these payment amounts is ...
$4839.78 -4752.97 = $86.81
You would save $86.81 in interest charges by paying only 1 day late.
_____
Comment on the question
It would be a poor choice of credit card to use one that compounds interest daily. Most do so on a monthly basis.