The number of people left out of 50 will be 20.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that 50 people went to a play [tex]\dfrac{3}{5}[/tex] of the people stayed to the end.
The number of people stays is calculated as:-
[tex]\rm\ N = 50 \times \dfrac{3}{5}[/tex]
N = 10 x 3
N = 30
The number of people left is calculated as:-
⇒ 50 - 30
⇒20
Therefore, the number of people left out of 50 will be 20.
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The distance between
-2 and 4
5 and -3
8 and -12
-9 and 17
Answer:
1. 6
2. -8
3. -4
4. 26
Step-by-step explanation:
yk how it's done
The tuition cost for part-time students taking C credits at Stonewall College is given by 300+300C dollars.
A-Find the tuition cost for 13 credits. Do not use dollar signs or commas in your answer.
B-If the tuition cost is $3300, how many credits are taken?
Answer:
[tex]part \: a. \\ t = 300+300(13) = 300+300C = \\300 + 3,900 = 4,200 \\ t = 4,200[/tex]
[tex]part \: b. \\ 3300 = 300+300(c) \\ 3300 - 300 =300(c) \\ 3000 \div 300 = c = 10 \\ c = 10[/tex]
a.
The tuition cost for 13 credits is
= 300 + 300C
= 300 + 300 (13)
= 300 + 3900
= 4,200 dollars.
b.
And, the number of credits is
$3,300 = 300 + 300C
$3,300 - 300 = 300C
$3,000 = 300C
C = 10 credits
Therefore we can conclude that
The tuition cost for 13 credits is $4,200.And, the number of credits that are taken is 10.Learn more about the credit here: brainly.com/question/1475993
Solve for x:
3(x-4+1b)=8
Step-by-step explanation:
[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x-4+b=\frac{8}{3}[/tex]
[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]
[tex]x-4+b-b=\frac{8}{3}-b[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x-4=\frac{8}{3}-b[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]x-4+4=\frac{8}{3}-b+4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-b+\frac{20}{3}[/tex]
[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]
[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]
[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]
[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]
[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]
Find the percent of increase from 55 people to 70 people. Round to the nearest tenth of a percent if necessary.
Answer:
55
Step-by-step explanation:
Can somebody please help me walk me through this please and thank you. Other questions on my page
Answer:
it would be the 1st graph
Step-by-step explanation:
this is the graph when the equation is put into a ti calculator! the app i use is wabbit
and it's only available on Android. the pics should be attached! to do this yourself!
also to know without the tool is simply looking at the equation itself and seeing if a negative is in fro
nt of the equation or not which determined if the proabla is flipped or not.
look at the [tex] {t}^{2} [/tex]the 1st term in the equation is that number positive or negative? If positive then the proabla is positive and going up, if it has a negative sign then the proabla is going down
to help more heres more examples
[tex]- {t}^{2} - t - 6 \\ this \: proabla \: will \: be \: negative \\ \: and \: facing \: down[/tex]Dorothy purchased a used vehicle that depreciates under a straight line
method. The initial value of the car is $8400 and the salvage value is $400. If the car is expected to have a useful life of another 5 years, how much will it depreciate each year?
Answer:
1,600
Step-by-step explanation:
did the math and this is what i got
What is the slope of the line passing through the points (5, 3) and (5, -9)? *
Answer:
Slope is 0
Step-by-step explanation: x stood the same so therefore the slope is 0 or infinite
Consider the following equation. 4x + 2 = 8x - 5 Which equation and explanation could represent a step in finding the value of x? (4x) + 2 = * (8x) - 5 Use the multiplication property of equality to simplify the variable term on the left side of the equation. 4x + 2-5= 8x - 5 + 5 Use the addition property of equality to move the constants to one side of the equation. 11 / + 2 (4x + 2) = | (8x - 5) Use the multiplication property of equality to simplify the variable terms on both sides of the equation. O 4x + 2 - 4x = 8x - 5 - 4x Use the addition property of equality to move the variables to one side of the equation.
Answer:
Step-by-step explanation:
Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;
Sep 1:
Add 5 to both using addition property to move 5 to both sides
4x+2+5= 8x-5+5
4x+7 = 8x
Step 2:
Collect like terms
4x-8x = -7
-4x = -7
Step3:
Divide both sides by -4
-4x-4 = -7/-4
x = 7/4
ch rectangle. Then write an equation and solve it.
and width of each rectangle.
- 4
A=64
*-4
loc- 4
*-4
5. (07.09) Given the functions f(x) = 7x+13 and g(x)=x+2. which of the following functions represents f(g(x)] correctly? (2 points) f(g(x)] = 7K+ 15 O f(g(x)] = 7x+27 f[g(x)] = 75 + 15 Of(g(x)] = 7x + 27
Answer:
f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Simplify x - 1 / 5(x - 1)^2
Answer:
1/5(x-1)
Step-by-step explanation:
cancel x-1
then we get
1/5(x-1)
If not understand comment below.
The wholesale price for a shirt is $6.50. A certain department store marks up the wholesale price by 70%. Find the price
Round your answer to the nearest cent, as necessary.
Х
6
?
Explanation
Check
Answer:
11.05$
Step-by-step explanation:
Given the wholesale price of pillow is $6.50
Price in department store is 70% more than whole sale =1.7 times the wholesale
Price in department store =1.7*6.5=$11.05
Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’
Answer:
(4^2) -10
16- 10
= 6
Step-by-step explanation:
the square of 4 is 16 so you'll subtract 10 from it and it will be left with 6
Factor 16a + 72 to find the equivalent expression
Answer:
[tex]=8\left(2a+9\right)[/tex]
Step-by-step explanation:
[tex]16a+72[/tex]
[tex]\mathrm{Rewrite\:}16\mathrm{\:as\:}8\cdot \:2[/tex]
[tex]\mathrm{Rewrite\:}72\mathrm{\:as\:}8\cdot \:9[/tex]
[tex]=8\cdot \:2a+8\cdot \:9[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}8[/tex]
[tex]=8\left(2a+9\right)[/tex]
Hence, the correct answer is [tex]=8\left(2a+9\right)[/tex]
Answer:
8(2a+9)
Step-by-step explanation:
Hope this helps
how many apples would you have if you buy 256-123x234/78
Answer:
135 because if you put it in a caluclator that is what you get
What is the mean? If the answer is a decimal, round it to the nearest tenth. 46026594
Answer:
28
With the mean, you have to add up the scores and subtract by the total values.
The only score number I know of is 20, so I just added up the values.
Hope this helps, let me know.
theee are 372 pieces of candy in the bag Lucy needs to divide the candy up into smaller bags. she wants to put the same number of pieces in each small bag. how many small bags could lucy use? what is the number sentence?
Answer:
The number of small bags that Lucy can use with having an even amount of can't in them is hundred and eighty six bags were each bag has two pieces of candy.
Step-by-step explanation:
372 ÷ 2 = 186
Therefore
372 ÷ 186 = 2
two candies in each bag means 186 bags of candy.
Can you please help me thank you
Let V be the volume of a right circular cone of height h=14 whose base is a circle of radius R=2. An illustration a right circular cone with horizontal cross sections. The right circular cone has a line segment from the center of the base to a point on the circle of the base is labeled capital R, and the horizontal line from the vertex is labeled h.
Required:
Use similar triangles to find the area of a horizontal cross section at a height y.
Answer:
The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]
Step-by-step explanation:
Given that,
Height = 14 m
Radius = 2 m
Let V be the volume of a right circular cone
We need to calculate the value of R
Using given data
[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]
Put the value into the formula
[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]
[tex]7R=14-y[/tex]
[tex]R=2-\dfrac{y}{7}[/tex]
We need to calculate the area of a horizontal cross section at a height y
Using formula of area
[tex]A=\pi R^2[/tex]
Put the value into the formula
[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]
Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]
The area of the circular cone at height y can be derived as a function, A,
having y as the input variable.
Correct response:
[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]
Method used for deriving the areaThe given parameters are;
Shape of figure = Right circular cone
Height of the cone, h = 14
Base radius, R = 2
Required:
The area of a cross section at a height y using similar triangles
Solution:
We have using similar triangles;
[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]
Which gives;
[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]
Therefore;
2·(14 - y) = 14·r
28 - 2·y = 14·r
[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]
The horizontal cross sectional area, A = π × r²
Therefore;
[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]
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Use the graph to determine iffis odd, even, or neither
O A. Even
A
OB
Neither
OC. Odd
Answer: it is neither
Given the following functions, find the indicated values.
f(x) = 6 - 2x
(a) f(-3)
(b) f(0)
(c) f(4)
(a) f(-3)=blank
plz help
Answer:
f(-3)=6-2x is f(-3)=6-2(-3) this equals f(-3)=12
B f(0)=6
C f(4)= -2
Step-by-step explanation:
Bacisly you would just have to sub in the x portion of your problem. Then you can solve like normal
A function is a relationship between inputs where each input is related to exactly one output.
The value of f(-3) is 12
The value of f(0) is 6
The value of f(4) is -2
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 6 - 2x
Substitute x = -3, 0, and 4 on f(x).
f(-3) = 6 - 2 x (-3) = 6 + 6 = 12
f(0) = 6 - 2 x 0 = 6 - 0 = 6
f(4) = 6 - 2 x 4 = 6 - 8 = -2
The inputs are -3, 0, and 4.
The outputs are 12, 6, and -2.
Thus,
The value of f(-3) is 12
The value of f(0) is 6
The value of f(4) is -2
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1 Solve the expression 8 x 5 – 12 x + 5 using PEMDAS. 3
39
40
41
42
Answer:
39
Step-by-step explanation:
pls help me with number 12 I don’t know the answer I have been trying for a long time pls help
Answer:
m=1/1 or just 1, b=(0,3.5) equation:y=x+3.5
Step-by-step explanation:
The pattern is as x increases by 1, so does y by the same amount, 1. This means the line is at a 45 degree angle increasing vertically and horizontally at the same pace. However, it is moved up 3.5 units in the y direction because when x=0, y=3.5
Cuanto es 2/3 x 3/5 lo necesito por favor ;-;
Answer:
.4 o 2/5
Step-by-step explanation:
2/3 x 3/5= 6/15
6 /3
--- = 2/5
15 /3
Answer:
2/3 * 3/5 = 6/15 = 0.4
Step-by-step explanation:
Elsa earns $140 for working 20 hours, what is else's rate of pay each hour? how much would she get if she worked 35 hours for the same rate of pay?
Answer:
$245
Step-by-step explanation:
The hourly pay that Elsa earns is 140/20 = $7 per hour
So, the total pay that Elsa will earn for 35 hours is 7*35 = $245
w2 – 2w
Complete square to make perfect square trinomial
Answer:
w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²Step-by-step explanation:
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
What is perfect square?A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.
Here, we have,
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
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Find the length of The side of a square with area 225square units
Answer:
Step-by-step explanation:
Let length of side = x
area = x²
so x² = 225 = 15²
then x = 15 units
Answer:
Formula for area of square;
A = a^2
where a represents the length of one side of the square, so;
A = a^2
given that the total area is 225,
225 = a^2
√225
= 15
Find the solution set to the given equation. Answer only in numbers.
4x2 – 16x = 0
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4x^2 - 16x = 0}\\\large\text{FACTOR the LEFT SIDE of the given equation.}\\\mathsf{\rightarrow 4x(x - 4) = 0}\\\large\text{After step 1 is complete, set the factors to equal to 0.}\\\mathsf{\rightarrow 4x = 0\ or\ x - 4 = 0}\\\larg\text{Lastly, you have to SIMPLIFY new equations you have now.}\\\mathsf{\rightarrow x = 0\ or\ x = 4}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = 4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Please answer this correctly without making mistakes
Answer: 33.6
60 x 56 divided by 100 is 33.6
$1900 at 5.9% interest for 18 months. What would the interest be?
Solution:
To solve this problem, we will use PRT/100.
Where:
P = principle = $1900 (As stated)R = rate = 5.9% (As stated)T = time = 18 months (As stated)1. Converting the number of months into years.
[tex]\bullet \ \ 1 \ \text{year} = 12 \ \text{months}[/tex]
[tex]\bullet \ \ \rightarrow \text{x years = 12x months = 18 months}[/tex]
[tex]\bullet \ \ \rightarrow \frac{12x}{12} = \frac{18}{12}[/tex]
[tex]\bullet \ \ \rightarrow x = 1.5 \ \text{years}[/tex]
2. Using PRT/100:
[tex]\bullet \ \ \rightarrow \dfrac{P \times R \times T}{100}[/tex]
[tex]\bullet \ \ \rightarrow \dfrac{1900 \times 5.9 \times 1.5}{100}[/tex]
[tex]\bullet \ \ \rightarrow19 \times 5.9 \times 1.5}[/tex]
[tex]\bullet \ \ \rightarrow \boxed{\$168.15}[/tex]
Thus, the interest will be [tex]\bold{\$168.15}[/tex].