Answer:
the answer is 23.
Step-by-step explanation: 20/15=1.5333333333......=1 1/2
The number is given by equation A = 1000
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the equation will be
15 is 1 1/2 % of the number A
Substituting the values in the equation , we get
15 = 1.5 % of A
On simplifying the equation , we get
15 = ( 1.5 / 100 ) x A
Multiply by 100 on both sides of the equation , we get
1.5A = 1500
Divide by 1.5 on both sides of the equation , we get
A = 1500/1.5
A = 1000
Therefore , the value of A is 1000
Hence , the number is 1000
To learn more about equations click :
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In the first week of July, a record 1,060 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week,140 more people went to the pool than in the second week. In the fourth week, 146 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
there was a total of 954 people at the pool
Step-by-step explanation:
Answer: 246
Step-by-step explanation:
find the lump sum that must be deposited today to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually. Use the table of values below.
Answer:
The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
Step-by-step explanation:
We are given:
Future value (A)=$25,000
Rate r =8% (0.08%)
Time t = 9
Compounded Annually n =1
We need to find:
Principal Amount (P) = ?
The formula used will be:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding Principal Amount (P)
[tex]A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }[/tex]
So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
Divide. Reduce the answer to lowest terms.
14/3 ÷ 4
Answer:
Work shown below!
Step-by-step explanation:
[tex]\frac{14}{3}[/tex] ÷ [tex]\frac{4}{1}[/tex] = [tex]\frac{14}{3}*\frac{1}{4} = \frac{14}{12}=\frac{7}{6}[/tex]
Answer:
the correct answer is 1 1/6
What is the slope of the line that
passes through these two points?
(-3, 2)
(4, 2)
Remember, Slope
rise (y2-yı)
run (x2-x1)
Simplify your answer completely.
Answer:
The line has a slope of zero which means the line is a horizontal line.
Step-by-step explanation:
Given that:
The two points are (-3,2) and (4,2)
Slope of a line is given by the formula,
[tex]m = \frac{Rise}{Run} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Here,
[tex]x_{1}=-3,\ y_{1}=2\\x_{2}=4,\ y_{2}=2[/tex]
Putting these values in formula;
[tex]m=\frac{2-2}{4-(-3)} \\m = \frac{0}{4+3}\\m = \frac{0}{7} = 0[/tex]
Hence,
The line has a slope of zero which means the line is a horizontal line.
If f(x) =x 2 + 10, what is f (-5)?
Answer:
f(-5) = 35
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = x² + 10
f(-5) is x = -5
Step 2: Evaluate
Substitute: f(-5) = (-5)² + 10Exponents: f(-5) = 25 + 10Add: f(-5) = 35Please help with this question ASAP I will give brainliest !!!
Answer:
(2).
Step-by-step explanation:
We have the expression:
[tex]\displaystye{\ln(\displaystyle{\frac{\sqrt{e}}{y^3})}[/tex]
First, we can use the difference property of logarithms:
[tex]\ln(x/y)=\ln(x)-\ln(y)[/tex]
Hence, this is equivalent to:
[tex]=\ln(\sqrt{e})-\ln(y^3)[/tex]
We can rewrite the left as:
[tex]=\ln(e^\frac{1}{2})-\ln(y^3)[/tex]
Now, we can use the power property:
[tex]\ln(a^b)=b\ln(a)[/tex]
Essentially, we move the exponent to the front.
Hence, this yields:
[tex]=\frac{1}{2}\ln(e)-3\ln(y)[/tex]
The natural log of e is simply 1. Hence:
[tex]=\frac{1}{2}-3\ln(y)[/tex]
Combine fractions:
[tex]\displaystyle{=\frac{1}{2}-\frac{6\ln(y)}{2} \\ =\frac{1-6\ln(y)}{2}}[/tex]
Hence, our answer is (2).
Which is the answer???
Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next
Answer:
Matching the population trend to a contributing factor:
Contributing Factors Population Trends
government-sponsored family control programs Low birth rate
agricultural economies increase in food supply
medical advancements low death rate
Industrial Revolution high birth rate
Step-by-step explanation:
a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.
b) Defining population trends:
1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.
2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.
3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.
4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.
Answer:
The first one is children and adolescents
the second one is adults
the third one is pregnancy
the last one is indivisuals with brittle bones
Step-by-step explanation:
hope this helps :D
Substitute the given values into the formula, and solve for the unknown variable.
1
A= 2h(B+b); A=44, B = 2, b= 9
h=
Step-by-step explanation:
44 = 2 * h * 11
44 = 22 * h
divide 22 on both sides, and you get the answer
2 = h
A = 2h(B + b)
Disregard my first reply.
Here is the math work.
44 = 2h(2 + 9)
44 = 4h + 18h
44 = h(4 + 18)
44/(4 + 18) = h
44/22 = h
Divide top and bottom by 11.
4/2 = h
2 = h
Done!
1
5x+4=x+44 solve for x
Answer:
x=10
Step-by-step explanation:
hope this helps
5x = x + 44 - 4
5x = x + 40
5x - x = 40
4x=40
x=40/4
x = 10
Please help me out with this question please...
Answer: B) No, every x-value does not have exactly one y-value
Explanation:
We have the input x = 3 map to the outputs y = 2 and y = 8 at the same time. A function is only possible if any given x value goes to exactly one y value.
Put another way, if x repeats itself, then we don't have a function. This assumes we don't repeat the same y value when we repeat the x value.
what is the vertex of the parabola using this equation y=-x^2+4x+5
Answer:
(2, 9)Step-by-step explanation:
[tex]y=-x^2+4x+5\quad \implies\quad a=-1\,,\ b=4\,,\ c=5\\\\h=\dfrac{-b}{2a}=\dfrac{-4}{2(-1)}=2\\\\k=c-\dfrac{b^2}{4a}=5-\dfrac{4^2}{4(-1)}=5-\dfrac{16}{-4}=5+4=9[/tex]
Or by completing the square:
[tex]y=-x^2+4x+5\\\\y=-(x^2-4x)+5\\\\y=-(\underline{x^2-2\cdot x\cdot 2+2^2}-2^2)+5\\\\y=-\left((x-2)^2-4\right)+5\\\\y=-(x-2)^2+4+5\\\\y=-(x-2)^2+9\quad\implies\quad h=2\,,\ k=9[/tex]
If one angle equals 130 in a triangle and the other equals 96 then what does the angle labelled X equal
Answer:
x = 46
Step-by-step explanation:
This is basic trigonometry, so we can apply this procedure...
- The total sum of all angles in a triangle is 180 (no angle should be more than 180, this is the limit) and we only need to know just one angle labeled as x, this is represented as:
130 + 96 + x = 180
x = 130 + 96 - 180
- Now we just need to obtain x:
x = 130 + 96 - 180
x = 226 - 180
x = 46
determine the equation of the quadratic function represented by the table of values below: x -4 -3 -2 -1 0 1 y -20 -13 -8 -5 -4 -5
Answer: y = -1*x^2 - 4
Step-by-step explanation:
A generic quadratic equation is written as:
y = a*x^2 + b*x + c
we need to find the values of a, b, and c
We have the table:
x y = f(x)
-4 -20
-3 -13
-2 -8
-1 -5
0 -4
1 -5
In the table we can see two things:
y(0) = a*0^2 + b*0 + c = c = -4
Then we know that:
y(x) = a*x^2 + b*x - 4
Now we only need to find a and b.
We also can see that we have symmetry around the point x = 0, this means that x = 0 is the vertex of the quadratic equation, and for a general case the vertex is at:
x = -b/2a
and this is equal to zero:
-b/2a = 0
then we must have b = 0.
So for now, the equation is:
y = a*x^2 -4
Now we can just replace the values of any of the points to find the value of a, for example we can use the point (1, -5)
this means that:
y = -5 = a*1^2 - 4
-5 = a - 4
-5 + 4 = a
-1 = a
Then the quadratic equation is:
y = -1*x^2 - 4
(24-2)180 whats the answer?
Answer:
3960 is the answer
Step-by-step explanation:
Answer:
3960
Step-by-step explanation:
...........................
...........................
answer is 3960
Is the graph linear exponential or neither?
I WILL GIVE BRAINLIEST! Parallelogram WXYZ has vertices W(-5, 3), X(-2, 0), Y(-4, -2), and Z(-7, 1), as shown in the graph below.
Which statement about parallelogram WXYZ is true?
A. Since two adjacent sides are congruent and have slopes that are negative reciprocals, WXYZ is a square.
B. Since two adjacent sides are not congruent, WXYZ is not a rhombus.
C. Since two adjacent sides have slopes that are negative reciprocals, WXYZ is a rectangle.
D. Since two adjacent sides have slopes that are not negative reciprocals, WXYZ is not a rectangle.
Answer:
d
Step-by-step explanation:
What's the gcf of 47 and 17
Answer:
The GCF of 47 and 17 is 1
Step-by-step explanation:
If f(y) = 2y - 2/5,
what is f(f^-1(1024))?
Answer:
-0.399
Step-by-step explanation:
f^-1(1024)=(2*1024-2/5)^-1= 0.000488
f(0.000488)=2*0.000488-2/5= -0.399
Help!!! I need the answer!!
Answer:
Step-by-step explanation:
3/4a>-16=
a >- 64/3 or -21 1/3
Someone help me with this please
Graph y = 5/3x - 9
Answer:
The answer is in the attached screenshot
the Y intercept is 9
the slop is 5/3
hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
Answer:jdjej
Step-by-step explanation: so u can give him brainliest
Divide. Reduce the answer to lowest terms.
3/4 ÷ 1/3
Answer:
when dividing fractions folow these steps:
first, you need to switch the denom and num of the second fraction:
3/4 ÷ 1/3---> 3/4 ÷ 3/1
Next you just switch the sign of the negative to a multiplication sign and multiply:
3/4 ÷ 3/1---> 3/4 x 3/1
3/4 x 3/1 -----> 9/4
9/4, 2 1/4 - these are your answers. Either are correct
Step-by-step explanation:
Answer:
2 1/4
Step-by-step explanation:
This homework is really confusing me. PLEASE HELP SOON. i also haven't been able to understand this topic that well so if someone could explain some stuff that would be good
I've been having some problems too
:/
Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling 5-day packs for $275.60. Grand Mountain is selling 3-day packs for $174.75. Which mountain offers the better deal?
Answer: Peak Point offers the better deal.
Step-by-step explanation:
To find which has the best price, we need to know the cost for one day at each mountain. To do this, we would divide the cost of each pack by the number of days it pays for, so
$275.60/5 days
and $174.75/3 days.
Peak Point costs $55.12 per day while Grand mountain costs $58.25 for each day. This shows that Peak Point clearly has the better deal, costing $3.13 less for every day included in the pack.
4(3xy^4)^3/(2x^3y^5)^4
Answer:
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
Step-by-step explanation:
Given the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
solving the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=4\cdot \:\frac{\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
[tex]=4\:\frac{27x^3y^{12}}{16x^{12}y^{20}}[/tex]
[tex]=4\cdot \frac{3^3}{2^4x^9y^8}[/tex]
The multiply fractions are defined as
[tex]\:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{3^3\cdot \:4}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3\cdot \:2^2}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3}{2^2x^9y^8}[/tex]
Refining
[tex]=\frac{27}{4x^9y^8}[/tex]
Therefore,
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
Please help!!! will give crown
Answer:
Mixed number: 6 1/100
Improper Fraction: 601/100
Step-by-step explanation:
Hope this helps!
Answer:
Mixed number: [tex]6\frac{1}{100}[/tex]
Improper fraction: [tex]\frac{601}{100}[/tex]
Step-by-step explanation:
A mixed number is a fraction that contains an integer and fraction part. An improper fraction is a fraction where the numerator is larger than the denominator.
[tex]6.01[/tex] can be written in the from [tex]\frac{601}{100}[/tex]. This is an improper fraction since the numerator is greater than the denominator.
The mixed number is [tex]6\frac{1}{100}[/tex] since [tex]100[/tex] goes into [tex]601[/tex] six full times with [tex]1[/tex] as the remainder.
Hope this helps :)
Please help will mark brainliest
Answer: The awnser is B
Step-by-step explanation: ive went over the problem and checked
Steven has 10 1/4 pages of homework. If he finishes 2 1/2 pages every ten minutes, how many pages will Steven have left after 10 minutes?
A. He has completed all pages of homework.
B. 12 3/4 pages
C. 7 3/4 pages
D. 2 1/2 pages
Answer: 7 3/4
Step-by-step explanation:
From the question, we are informed that Steven has 10 1/4 pages of homework and that he finishes 2 1/2 pages every ten minutes.
The number of pages that Steven will have left after 10 minutes will be:
= 10 1/4 - 2 1/2
= 7 3/4
He'll have 7 3/4 pages left
what is the domain of g?
Answer:
(4,-5) is the answer
hope it helps you!!!!!!!
Step-by-step explanation:
.
Answer:
actual answer
Step-by-step explanation:
Which of the following represents the graph and y-intercept of the function 3x + y = -2?