Answer:
185
Step-by-step explanation:
All you have to do is multiply 200 by 92.5/100 (because it is 92.5%). This gives you 185.
Hope this helps!
Answer:
185
We know 92.5% of 100 is 92.5%, so 92.5 of 200 is just 92.5×2.
1. What number comes next in this sequence?
483, 759, 264, 837,?
A) 487
B) 592
C) 375
D) 936
Answer:
C 375 this your answer
Hope it will help
Answer:
B) 592
Step-by-step explanation:
483, 759, 264, 837,?
Erase commas.
483759264837
Separate into two-digit groups:
48, 37, 59, 26, 48, 37
There is a common pattern:
48 - 11 = 37 + 22 = 59 - 33 = 26 + 22 = 48 - 11 = 37
The next term:
37 + 22 = 59 (add 22)
59 - 33 = 26 (subtract 33)
5926
Verify that -8+ (-11)/(-12) = (-11)/(-12)+ (-8)
Solve the inequality. 6(b – 4) > 30 b > 34 b > 5 b 9
Answer:
b > 9
Step-by-step explanation:
6(b – 4) > 30
Divide each side by 6
6/6(b – 4) > 30/6
b-4 > 5
Add 4 to each side
b-4+4 > 5+4
b > 9
Answer:
[tex]\boxed{b > 9}[/tex]
Step-by-step explanation:
[tex]6(b-4) > 30[/tex]
Resolving Parenthesis
6b - 24 > 30
Adding 24 to both sides
6b > 30+24
6b > 54
Dividing both sides by 6
b > 9
Simplify the expression: 4(n-5)
Answer: 4n - 20
Step-by-step explanation: We can use the distributive property.
The distributive property tells us that if were given an expression
such as 4(n - 5), we can multiply the 4 by both the n and the -5.
So our answer is just 4n - 20.
What are the solutions to the quadratic equation x^2 – 16 = 0?
Answer:
x=4
Step-by-step explanation:
x²-16=0
x²=0+16
x²=16
x=√16
x=4
Which of the following is an equation that best describes compound interest?
Answer:
Compound interest is best defined as:
Earning interest on interest.
Compound interest is earning interest on interest.
What is compound interest?Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal. Further, the interest calculation for the next time period is on the accumulated principal value. Compound interest is the new method of calculation of interest used for all financial and business transactions across the world. The power of compounding can easily be understood, when we observe the compound interest values accumulated across successive time periods.
Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals
The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.
as, we know that Compound interest is an interest accumulated on the principal and interest together over a given time period.
So, we can also write Earning interest on interest.
learn more about compound interest here:
https://brainly.com/question/14295570
#SPJ2
Heidi runs 1/3 of a mile in 1/4 of an hour and Louis takes 1/2 of an hour to run 23 of a mile.Who has the faster running rate?
Answer:
As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.
Step-by-step explanation:
We will calculate speed of both the person in miles per hour and then compare the speeds.
Speed = distance/time
_____________________________________
For Heidi
Distance = 1/3 miles
time = 1/4 hour
speed = 1/3 ÷ 1/4 = 4/3 miles per hour = 1.33 miles per hour
_______________________________________
For Louis
Distance = 2/3 miles (here it was given 23 miles but it appears to be 2/3 of a miles )
time = 1/2 hour
speed = 2/3 ÷ 1/2 = 4/3 miles per hour = 1.33 miles per hour
______________________________________________________
As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer: [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Step-by-step explanation:
When you subtract b/2a from both sides, you end up with the Quadratic Formula.
Answer:
[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]
Subtract [tex]\frac{b}{2a}[/tex] from both sides.
[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]
[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]
[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]
This is a quadratic formula.
.
Look at the table. Is ƒ(x) an exponential function? If so, identify the base. If not, why not?
No, there is no base common to any two successive terms.
yes, the base is 4
Answer:
yes, the base is 4
Step-by-step explanation:
Please help me with this question!!! I am struggling...
Answer:
It decreases from 45° to 40°
Step-by-step explanation:
The secant angle GBJ is half the difference of the measure of its intercepted arcs, that is
∠ B = [tex]\frac{1}{2}[/tex] (CDF - GHJ) = [tex]\frac{1}{2}[/tex](130 - 40)° = [tex]\frac{1}{2}[/tex] × 90° = 45°
If arc GHJ is now 50°, then
∠ B = [tex]\frac{1}{2}[/tex](130 - 50)° = [tex]\frac{1}{2}[/tex] × 80° = 40°
That is ∠ B decreases from 45° to 40°
Solve
5/x+y - 2/x-y = -1 and 15/x+y + 7/x-y = 10
Using cross-multiplication method.
Answer:
x = 3 and y = 2
Step-by-step explanation:
Start by multiplying the first equation by "-3" so we can cancel the term with denominator (x+y) when we combine:
[tex]\frac{(-3)\,5}{x+y} -\frac{(-3)\,2}{x-y} =(-3)(-1)\\\frac{-15}{x+y} +\frac{6}{x-y} =3[/tex]
which now added term by term to the second equation gives:
[tex]\frac{-15}{x+y} +\frac{6}{x-y} =3\\\frac{15}{x+y} +\frac{7}{x-y} =10\\ \\\frac{13}{x-y} =13[/tex]
Now we solve for x-y by cross multiplying:
[tex]\frac{13}{13}=x-y\\ x-y=1\\x=y+1[/tex]
Now we use this substitution for x back in the first equation to solve for the unknown y:
[tex]\frac{5}{(y+1)+y} -\frac{2}{(y+1)-y} =-1\\\frac{5}{2y+1} -2=-1\\\frac{5}{2y+1}=1\\5=2y+1\\4=2y\\y=2[/tex]
and now that we know that y = 2, we use the substitution equation to solve for x:
[tex]x=y+1\\x=2+1\\x=3[/tex]
Complete the square to rewrite y = x2 + 8x+ 3 in vertex form, and then identify
the minimum y-value of the function.
Please answer ASAP!!!
====================================================
Work Shown:
y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3
It is in the form y = ax^2 + bx + c
a = 1
b = 8
c = 3
Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)
h = -b/(2a)
h = -8/(2*1)
h = -8/2
h = -4
Plug this into the original equation to get its paired y value. This will get us the value of k
y = x^2 + 8x + 3
y = (-4)^2 + 8(-4) + 3
y = 16 - 32 + 3
y = -13
This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)
We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.
HELP ME PLSSSSSSSSSSS ALL MY POINTS
Answer:
B
Step-by-step explanation:
You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.
for a scavenger hunt, jim's mom distributed a bag of 725 jelly beans evenly into 29 plastic containers and hid then around the yard. if, after the hunt, jim has total of 275 jelly beans, then how many of the plastic containers did he find?
Answer:
11 bags
Step-by-step explanation:
725 jelly beans evenly into 29 plastic containers:
725/29=25 jelly beans in each plastic containers
275/25=11 Jim found eleven bags
Answer:
11 containers
Step-by-step explanation:
His mom evenly divided the jelly beans into containers. There are 725 jelly beans and 29 containers. To find how many jelly beans are in each container, divide 725 by 29.
725/29
25
There are 25 jelly beans in every container.
After the hunt, Jim had 275 jelly beans. There are 25 beans in each container. To find the number of containers, we can divide 275 by 25.
275/25
11
He found 11 containers.
A, B, and C are midpoints of ∆XYZ. What is the length of ? YZ
Answer:
[tex]YZ = 48[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
[tex]XZ = 60[/tex]
Required
Find YZ
From the attachment, AB is parallel and equal to YC;
This implies that
[tex]AB = YC = 24[/tex]
Given that C is the midpoint of YZ;
This implies that
[tex]YC = CZ = 24[/tex] and [tex]YZ = YC + CZ[/tex]
Substitute values for YC and CZ
[tex]YZ = 24 + 24[/tex]
[tex]YZ = 48[/tex]
Answer:
48
Step-by-step explanation:
solve for x ax+3x=bx+5
Answer:
x=5/a-b+3
Step-by-step explanation: Since we don't know a or b, we'll leave them as is. Shift all terms with x to the left and keep 5 on the right (ax+3x-bx)=5. x is a factor of that, so you'd change it to x(a-b+3)=5. Then, divide by (a-b+3). If a and b had set values, then just add all the x values and solve.
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Lets do this step by step.
Simplify 5 by ( b - x)
Apply the distributive property.
[tex]5b + 5 ( -x ) = 2b + ax[/tex]
Multiply -1 by 5.
[tex]5b - 5x = 2b + ax[/tex]
Subtract ax from both sides of the equation.
[tex]5b - 5x - ax = 2b[/tex]
Move all terms not containing x to the right side of the equation.
Subtract 5b from both sides of the equation.
[tex]-5x - ax = -3b[/tex]
Subtract 5b from 3b.
[tex]-5x - ax = -3b[/tex]
Factor x out of -5x - ax .
[tex]x ( -5 - a ) = -3b[/tex]
Divide each term by = -3b.
Divide each term in x ( -5 - a) = -3b by - 5 -a.
[tex]\frac{x( -5 - a)}{-5 - a} = \frac{-3b}{-5 - a}[/tex]
Cancel the common factor of -5 - a.
[tex]x = \frac{-3b}{-5 - a}[/tex]
Simplify [tex]\frac{-3b}{-5 - a}[/tex]
[tex]x = \frac{3b}{5 + a}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Elton is a candle maker. Each 15 \text{ cm}15 cm15, start text, space, c, m, end text long candle he makes burns evenly for 666 hours. If Elton makes a 45 \text{ cm}45 cm45, start text, space, c, m, end text long candle, how long would it burn?
Answer:
18
Step-by-step explanation:
cm 15 -> 14
hours 6 ->?
cm 15 x3->45
hours 6 x3->18
the 45 cm long candle is 3 times as long ,so it would burn for 3 times as long A 45cm long candle would burn for 18 hours
Complete the table for the given rule.
1
Rule: y =-
4
y
13
4
2
Answer:
x y
1/4 0
13/4 3
2 7/4
Step-by-step explanation:
To complete the table we just need to replace the value of x and get y as:
for x = 1/4
[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]
for x=13/4
[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]
for x=2
[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]
So, the complete table is:
x y
1/4 0
13/4 3
2 7/4
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
Answer:
The loudness of the dinner conversation is 40 dB
Step-by-step explanation:
Loudness in dB = 10[tex]Log_{10}[/tex] [tex](\frac{I}{I_{o} })[/tex]
where [tex]I_{0}[/tex] is the least intense sound a human can hear = [tex]10^{-12}[/tex] W/m^2
For a dinner conversation with sound intensity of [tex]I[/tex] = [tex]10^{-7}[/tex] W/m^2
Loudness = 10[tex]Log_{10}[/tex] [tex](\frac{10^{-7} }{10^{-12} })[/tex] = 10[tex]Log_{10}[/tex] [tex]( 10^{4} )[/tex] = 40 dB
Answer:
50 Db
Step-by-step explanation:
BRAINLIEST!! GEOMETRY THANKS!!! In rectangle shown B and F are midpoints of AC and AE , respectively. Find the ratio of the area of quadrilateral ABDF to the area of rectangle.
Answer:
1:2
Step-by-step explanation:
The area of ΔFED must be 1/4th of the entire area and so must the area of ΔBCD because B and F are the midpoints. Therefore, the area of ABDF is 1 - 1/4 - 1/4 = 1/2 of ACDE's are so the ratio is 1:2.
The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation? y = 2 x minus 3 and y = negative 2 x minus 3 y = 2 x minus 3 and y = negative one-half x minus three-halves y = 2 x + 3 and y = negative 2 x minus 3 y = 2 x + 3 and y = negative one-half x minus three-halves
Answer:
The answer is
y = 2x -3 and
y = -2x - 3
its y = 2x -3
y = -2x - 3
The ninth-grade class has 93 students. Each student takes a current events class, a foreign language class, or both a current events class and a foreign language class. There are 70 ninth-graders taking a current events class, and there are 54 ninth-graders taking a foreign language class. How many ninth-graders take only a current events class and not a foreign language class?
Answer: 31 students
Step-by-step explanation:
Because the class has 93 students, and there are a total of 124(70+54) classes taken, 124-93 students, or 31 students taking both classes.
Hope it helps <3
If f(x) = x-5, ther match each of the following.
4
1 f(-1)
-6
2. f(0)
3. f(1)
-3
4. f(2)
3
5. f(5)
-5
6. f(8)
0
Answer:
1. f(-1) = -6
2. f(0) = -5
3. f(1) = -4
4. f(2) = -3
5. f(5) = 0
6. f(8) = 3
Step-by-step explanation:
1. f(-1)=-1-5=6
substitute the x value into the equation.
2. f(0)=0-5=-5
3. f(1)=1-5=-4
4.f(2)=2-5=-3
5. f(5)=5-5=0
6. f(8)=8-5=3
The perimeter of a triangle is 44 inches. If
one side is 5 inches longer than the
smallest side and another side is 1 inch
less than twice the smallest side, how
many inches are there in the smallest side?
The sides are
6 inches, 8 inches and 10 inches
Explanation:I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'
Then the shortest side is
6
and the longest side is
10
I hope this helps :)Bacteria in a culture increase at a rate proportional to the number of bacteria present. An initial population of 300 triples in 10 hours. If this pattern continues, find the number of bacteria present after one day.
Answer:
After 24 hours, there will be 4191 bacteria present in the culture.
Step-by-step explanation:
Initial number of bacteria = 300
amount in 10 hrs = 3 x 300 = 900
time taken = 10 hours
Bacterial growth is exponential, ans so we use the equation
N = N'[tex]e^{kt}[/tex]
where N is the final amount
N' is the initial amount
k is the growth constant
t is the time
For this first case, we have
900 = 300 x [tex]e^{k*10}[/tex]
3 = [tex]e^{10k}[/tex]
take natural log of both sides, we'll have
ln 3 = ln [tex]e^{10k}[/tex]
1.0986 = 10k
k = 1.0986/10 = 0.10986
using the growth constant above, we calculate for a day which is 24 hours
N = N'[tex]e^{kt}[/tex]
N = 300 x [tex]e^{0.10986*24}[/tex]
N = 300 x [tex]e^{2.637}[/tex]
N = 300 x 13.97
N = 4191 bacteria
The equation of a circle is x^2 + (y + 11)^2 = 9. The center of the circle is 1. (-11, 0) 2. (0, -11) 3. (0, 11) 4. (11,0) and the radius is A. 3 B. 9 C. 81 What is the center of the circle and the radius?
Answer:
The center is ( 0,-11) and the radius is 3
Step-by-step explanation:
x^2 + (y + 11)^2 = 9.
The equation of a circle can be written in the form
(x-h)^2 + (y -k)^2 = r^2 where ( h,k) is the center and r is the radius
(x-0)^2 + (y - - 11)^2 = 3^2
The center is ( 0,-11) and the radius is 3
Answer:
2: (0,-11) A: r=3
Step-by-step explanation:
the equation of a circle is given by the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h,k) is the center and r is the radius.
We are given:
[tex]x^2+(y+11)^2=9[/tex]
This is the same as saying:
[tex](x+0)^2+(y-(-11))^2=3^2[/tex]
In other words, the center is at (0,-11).
And the radius is r=3.
numa prova de múltipla escolha com 30 questões, o aluno ganha 3 pontos por cada questão que acerta, mas perde 2 pontos por cada questão que erra. Marcelo resolveu todas as questões dessa prova e conseguiu 50 pontos. Quantas questões ele acertou?
Answer:
Marcelo acertou 22 questões.
Step-by-step explanation:
Vamos representar
Questões que acerta = a
Questões que erra = b
a + b = 30 .......... Equação 1
a = 30 - b
o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.
Matematicamente:
3 × a - 2 × b = 50
3a - 2b = 50 pontos ............. Equação 2
Substitua 30 - b por a na Equação 2
3 (30 - b) - 2b = 50
90 - 3b - 2b = 50
90 - 5b = 50
Colete termos semelhantes
90 - 50 = 5b
5b = 40
b = 40/5
b = 8
Questões que erra = b
Marcelo, portanto, perdeu 8 questões.
Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1
a + b = 30 .......... Equação 1
a + 8 = 30
a = 30 - 8
a = 22 questões.
Portanto, ele acertou 22 questões.
Plot and connect the points A(-4, -1), B(6, -1), C(6, 4), D(-4, 4), and find the area of the rectangle it forms.
Answer:
50 square units
Step-by-step explanation:
When graphed you have a width of 5 and a length of 10 so multiply them together to get 50
Answer:
Step-by-step explanation:
I have this question too. I think it is 45. sorry if its incorrect
Convert 50 degrees into radians (NEED ASAP)
Answer:
0.872665
Step-by-step explanation:
A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $6,000 or $12,000. If the partnership raised $486,000, then how many investors contributed $6,000 and how many contributed $12,000?
Answer:
39 investors contributed $6,000, and 21 investors contributed $12,000.
Step-by-step explanation:
Let's say that x investors contributed $6,000, and y investors contributed $12,000.
x + y = 60
6,000x + 12,000y = 486,000
x + 2y = 81
x + y = 60
y = 21
x + 21 = 60
x = 39
So, 39 investors contributed $6,000, and 21 investors contributed $12,000.
Hope this helps!