The area of the circle given the circumference is B. 98 inches².
The circumference of a circle is calculated by the formula:
= π x diameter
You can therefore find the diameter given the circumference:
35 = 22/7 x diameter
Diameter = 35 / 22/7
= 11.14 inches
The radius is half of the diameter:
= 11.14 / 2
= 5.57 inches
Area of a square is:
= π x radius ²
= 22/7 x 5.57 x 5.57
= 97.51 inches²
= 98 inches²
In conclusion, the area of the circle is closest to 98 square inches.
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Multiply the binomials (3x-5) (x-10)
Helpp
Answer: The answer would be 3x^2-35x+50
Answer:
3x^2-35x+50 is the answer
Step-by-step explanation:
If you use the FOIL method this will be a breeze.
Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next strings identify the number of beads she uses in 5 string
Answer:
She uses 729 beads for 5 strings.
Step-by-step explanation:
1 string : 3 × 3 = 9 beads
2 string : 9 × 3 = 27 beads
3 string : 27× 3 = 81 beads
4 string : 81 × 3 = 243 beads
5 string : 243 × 3 = 729 beads
Answer:729
Step-by-step explanation:
1) 3×3=9
2) 9×3=27
3) 27×3=81
4) 81×3=243
5) 243×3=729
-8-n = -3(2n - 4)
Please help
Answer:
n=-2n-12
Step-by-step explanation:
Distribute the -3 to 2n-4, which equals -6n+12. Putting your whole equation back together, you will have -8-n=-6n+12. If you add 8n over to the other side, your equation becomes -n=2n+12. Now all you have to do here is divide the negative from -1 thats in front of n from 2n+12, making your answer n=-2n-12.
To solve the linear equation -8 - n = -3(2n - 4), we distribute, combine like terms, and isolate the variable to find that n = 4.
The equation presented, -8 - n = -3(2n - 4), is a linear equation where the goal is to solve for the variable n. We start by simplifying and rearranging the equation to isolate n on one side. To solve the equation:
Distribute the -3 through the parentheses on the right side: -8 - n = -6n + 12.
Move all terms involving n to one side by adding 6n to both sides: -8 + 6n - n = 12.
Combine like terms: -8 + 5n = 12.
Next, add 8 to both sides to isolate the term with n: 5n = 20.
Finally, divide both sides by 5 to solve for n: n = 4.
Solve “X^2 -4x+5 using the discriminant formula b^2-4AC
Answer:
a= 1
b= -4
c = 5
(-4)^2 - 4(1)(5)
16-20= -4 no solution
The table shows results for the 100 meter sprint.
Who had the fastest time?
Athlete Time (s)
Bryson
12.14
Malik
11.84
Marcell
11.94
Wyatt
12.44
Answer:
malik
Step-by-step explanation:
the fastest time would be Malik at 11.84
followed by Marcell, Bryson then Wyatt
Malik had the fastest time in the 100 meter sprint with a time of 11.84 seconds.
To determine who had the fastest time in the 100 meter sprint, we simply need to compare the times listed for each athlete. In sprinting, the fastest time is the lowest numerical value, as it indicates the athlete completed the distance in the shortest amount of time.
Here are the times presented in the question:
Bryson - 12.14 s
Malik - 11.84 s
Marcell - 11.94 s
Wyatt - 12.44 s
Upon comparing the times, we can see that Malik had the fastest time with 11.84 seconds. Therefore, Malik is the athlete who completed the 100 meter sprint the quickest in this group.
∠E and ∠F are complementary. The measure of ∠E is 54° more than the measure of ∠F. Find the measure of each angle.
The angles are 18° and 72° respectively.
Since, we are told that they are complementary angles, that means that their sum will be equal to 90°
Therefore E + F = 90°
Based on the question, E = F + 54°. Therefore, E + F = 90°.
F + 54° + F = 90°
Collect like terms
2F = 90 - 54°
2F = 36°
F = 36°/2 = 18°
The value of F is 18°
Therefore, E = F + 54° = 18° + 54° ,= 72°
The angles are 18° and 72°.
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The measure of angle E is 72 degrees and the measure of angle F is 18 degrees.
Explanation:Let's represent the measure of angle E as x and the measure of angle F as y. Since the angles are complementary, we know that x + y = 90. We also know that x = y + 54. By substituting the value of x into the first equation, we get (y + 54) + y = 90, which simplifies to 2y + 54 = 90. Solving for y, we find that y = 18. Substituting this value back into the equation for x, we get x = 18 + 54 = 72. Therefore, the measure of angle E is 72 degrees and the measure of angle F is 18 degrees.
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Which expression does not belong with the other three? Explain your reasoning. |3| -3 |-3| 3
[tex]\huge\boxed{-3}[/tex]
All of the other expressions are equal to a positive [tex]3[/tex].
Absolute value finds a number's distance from zero, which basically removes its negative sign if it has one, making the number positive.
[tex]|3|=3[/tex]
[tex]\boxed{-3=-3}[/tex]
[tex]|-3|=3[/tex]
[tex]3=3[/tex]
Answer:
-3.
Step-by-step explanation:
That would be -3 because it is negative.
|3| 3 and |-3| are all positive.
|-3| means the absolute value of -3, which is positive.
PICTURE ATTACHED please help
Answer:
[tex]6.73 \times {10}^{ - 8} [/tex]
Step-by-step explanation:
7.4 × 10 ^-8 - 6.7 × 10^-9
= 7.4 × 10^-8 - 0.67 × 10^-8
= (7.4 - 0.67) × 10^-8
= 6.73 × 10^-8
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need help please can someone figure it out
Answer:
It's the first choice.
Step-by-step explanation:
Using system of equations.
there is a 6 degree drop in temperature over the past hour. If it is 55 degrees now, what was the temperature an hour ago?
Answer:
61
Step-by-step explanation:
if it dropped 6 degrees, you would add 6 to the current temperature to get 61 (55+6=61)
Answer:
61 degrees
Step-by-step explanation:
it is 55 degrees now. it had dropped 6 degrees in an hour. since it went down and subtracted 6 degrees, we would have to do the other order of operation which in this case is addition. 55 plus 6 is 61. ( message me if you need more help)
Jayla has 1.36 meters of red ribbon and 0.9 meter of blue ribbon. How much ribbon does she have in all?
Answer:
She has 2.26 ribbons.
Step-by-step explanation:
add 1.36+0.9=2.26.
Answer:
2.26
Step-by-step explanation:
1.36+ 0.9
solve for x.
3x = 6x - 2
Answer:
[tex]x = \frac{2}{3} [/tex]
Step-by-step explanation:
3x=6x-2
Subtract '3x' from both sides
0=3x-2
Add '2' to both sides
2=3x
Divide by 3
x=2/3
If you need the answer in decimal form divide 2 by 3
The value of x is 2/3.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
Given:
3x = 6x - 2
3x-6x= -2
-3x= -2
x= -2/-3
x= 2/3
Hence, the value of x is 2/3
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referred to as Check
a. 3x + 7 + -x-1
Answer:
2x+6
Step-by-step explanation:
you would get 2x+6 because you collect like terms and 3x minus 1x is 2x its minus because a negative is subtracting. and then 7 minus 1 is 6
The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sales on the two instruments, find the price of a trumphet.
Answer:
$ 159.95
Step-by-step explanation:
139.95 x 19 = 2,659.05 In total the 19 clarinets = $ 2,659.05
$ 4,578.45 - $ 2,659.05 = $ 1919.40 In toal the 12 trumpets are = $ 1,919.40
$ 1,919.40 ÷ 12 = $ 159.95 The trumpets cost $ 159.95 each.
Hope this helps you out : )
If the music store sold 12 trumoets and 19 clarinets last month and clariners sell for $139.95 and the store made $4,578.45. The price of a trumpet is $159.95.
What is the price?Let's denote the price of a trumpet as "t" dollars.
The revenue from trumpet sales would be 12 times the price of a trumpet (12t) and the revenue from clarinet sales would be 19 times the price of a clarinet ($139.95):
Revenue from trumpets + Revenue from clarinets = Total revenue
12t + 19 * $139.95 = $4578.45
Now solve for the price of a trumpet (t):
12t + 19 * $139.95 = $4578.45
12t + $2659.05 = $4578.45
12t = $4578.45 - $2659.05
12t = $1919.4
t = $1919.4 / 12
t ≈ $159.95
Therefore the price of a trumpet is $159.95.
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What is the answer to 2x -1 + x + x + 1= 180
2x -1 + x + x + 1= 180
2x+x+x-1+1=180 ( combine like terms)
2x+2x-1+1=180
-1+1=0
2x+2x+0=180
4x+0=180
4x=180
divide both sides by 4 to get x by itself
4x/4=180/4
x=180/4
Answer: x=45
A fraction that is terminating decimal between 1.25 and 1.5
Answer:(1.25+1.50)/2
=2.75/2
=1.375
Step-by-step explanation:
(1.25+1.50)/2
=2.75/2
=1.375
Answer:
[tex]\frac{7}{5}, \frac{13}{10}, \frac{135}{100}= 1.35[/tex]
Step-by-step explanation:
There are numerous of fraction whose terminating decimal value lies between 1.25 and 1.5
Some of them are:
[tex]\dfrac{7}{5}=1.4, \\\dfrac{13}{10} = 1.3\\ \dfrac{135}{100}= 1.35, etc.[/tex]
All the above fraction has terminating decimal value.
Further, terminating decimal means the decimal whose value is non-repeating and values after decimal place is end after some places of decimal.
when full the gas tank of a car holds 15 gallons. it now contains 12 gallons. what percent represents how full the tank is?
Hello!
to find the percent of a whole, use this equation here:
(remaining) / (total) = X
X * 100 = %
in this case:
12 / 15 = 0.8
0.8 * 100 = 80
your answer is 80%
I hope this helps, and have a nice day!
Mike works two part time jobs while going to college. He works 8 and half hours a week at the ice-cream store for $10.55 per hour and 7 hours a week at the movie theater for 13.85 per hour. Work each of the following problems in decimal form. 1. How much does Mike earn a week before taxes are taken out of his paycheck? 2. If 22 percent of Mike’s paycheck is withheld for taxes, how much money is left for Mike? 3. At which Job does Mike earn the most before taxes, how much more? 4. If Mike spends $50 a week on entertainment, what percent of Mike’s paycheck is left after he pays taxes? In decimal form.
Answer:
Step-by-step explanation:
So 10.55$ for an hour at the ice-cream store, and he works 8 hours.
So 8 * 10.55$ because he earns 10.55$ eight times, since he works 8 hours;
then, you would get $84.40 for a week at the ice-cream store.
Now he earns 13.85$ per hour at the movie theater, for a total of 7 hours.
Again, 13.85$ * 7 since he earns 13.85$ 7 times (7 hours); he gets $96.95 for a week at the movie theater.
1. so we want to know how much does mike earn a week, which basically means how much money did he earn in total during the week working at two jobs?
so you just add what you calculated, you get $181.35 in total.
2. So we want to know how much he has left after 22 percent of the total amount of money that he earned is taken away, due to taxes.
So we want to know how much is 22 percent of the total, so $181.35 * 22% = $39.89
So now we know that $39.89 is 22 percent of the total amount ($181.35), and we know that it is taken away from us, so we subtract $39.89 from $181.35, and you would get $141.46.
So, $141.46 is the amount of money left for Mike after paying his taxes.
3. So we want to know which jobs pays him more before paying the taxes. According to the first question, he earns $84.40 a week at the ice cream store, and $96.95 a week at the movie theater. So, obviously the movie theater pays him more.
It has two questions in one, and the second question asks how much more does the higher paying job pays than the lower paying one. So they're asking what is the difference between the two prices?
So we need to subtract $96.95 (the higher paying one) - $84.40 (the lower paying one), and you would get $12.55.
So, the movie theater pays Mike $12.55 more dollars than the ice cream store.
4.
How much interest is earned on an investment of $12,000 at 2.9% compounded daily for eight years
Answer:
$3,113,34
Step-by-step explanation:
The formula for calculating compound interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where
A=the future total value, i.e, the money you will have after t years.
P=the initial deposit.
r=the annual interest rate.
n=the number of times that interest is compounded per year.
t=the number of years the money is saved.
In our case
A is unknown and we will have to calculate it with the formula.
P=$12,000
r=2.9%=0.029
n=365 because the interest is compounded daily and there are 365 days in a year
t=8 years
Applying the formula we get
[tex]A=12,000(1+\frac{0.029}{365})^{365\times8}[/tex]
[tex]A=12,000(1+\frac{0.029}{365})^{2,920}[/tex]
[tex]A=12,000(1.000079)^{2,920}[/tex]
So A=15,113.336
This is the amount of money you would have after 8 years.
Subtracting the initial deposit from this amount we obtain the interest earned I
I=15,113.336-12,000=3,113.336
Rounded to the nearest hundreth
I=$3,113,30
There are 40 members in a food club. The Venn diagram below shows how many members like vegetables, fruit, both, or neither. Complete the following two-way frequency table.
The data of the frequency table is mentioned below.
What is a Venn Diagram?A Venn Diagram is the pictorial representation of data in the form of circles which represents relationship between finite number of group of things.
There are total 40 members in a food club.
The people who
Like vegetable and also like fruit is : 23
Like vegetables , do not like fruit is : 4
Do not like vegetables and like fruit is 8
Do not like vegetables and do not like fruit is 5
The missing Venn Diagram is attached with the answer.
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0.5,7/16,0.75,19/48 order least to greatest
Answer:
19/48, 7/16, 0.5, 0.75
Step-by-step explanation:
-5/9 is no less than five times a number
Answer:
I assume you want an equality: -5/9 >= 5x, -1/9>=x
Cookies come in
packages of 12.
Drinks come in
packages of 3,4,5,
6, 8, 10, and 12. Make
a table to show how
many packages of each
size to buy so that you have
the same number of cookies
and drinks.
Answer:
[tex]\begin{array}{cccc}\text{Cookies}&&\text{Drinks}&\\\#\text{ of Cookies in a package}&\#\text{ of packages}&\#\text{ of Drinks in a package}&\#\text{ of packages}\\ \\12&1&3&4\\12&1&4&3\\12&1&6&2\\12&1&12&1\\12&2&8&3\\12&5&5&12\\12&5&10&6\end{array}[/tex]
Step-by-step explanation:
Cookies come in packages of 12.
Drinks come in packages of 3, 4, 5, 6, 8, 10, and 12.
If you buy one package of cookies (12 cookies), then you have to buy
4 packages of drinks with 3 drinks in each (12 drinks); 3 packages of drinks with 4 drinks in each (12 drinks); 2 packages of drinks with 6 drinks in each (12 drinks); 1 package of drinks with 12 drinks in it (12 drinks).If you buy 2 packages of cookies (24 cookies), then you have to buy 3 packeges of drinks with 8 drinks in each (24 drinks).
If you buy 5 packages of cookies (60 cookies), then you have to buy
12 packages of drinks with 5 drinks in each (60 drinks); 6 packages of drinks with 10 drinks in each (60 drinks).The table is
[tex]\begin{array}{cccc}\text{Cookies}&&\text{Drinks}&\\\#\text{ of Cookies in a package}&\#\text{ of packages}&\#\text{ of Drinks in a package}&\#\text{ of packages}\\ \\12&1&3&4\\12&1&4&3\\12&1&6&2\\12&1&12&1\\12&2&8&3\\12&5&5&12\\12&5&10&6\end{array}[/tex]
Give an equation for a line perpendicular to the line y=0. Is there more than one such line? Explain.
Check the picture below.
sure, since y = 0 is a line, in essence the x-axis really, that goes to infinity, so we can draw an infinite amount of perpendicular lines on it all the way.
The equation for a line perpendicular to the line y=0 is x=a, where a is the x-coordinate of the point where the line intersects the x-axis. There are infinitely many lines that are perpendicular to the line y=0. For example, the line x=3.
Explanation:The equation for a line perpendicular to the line y=0 is simply the equation for a vertical line passing through any point on the x-axis. A vertical line is defined by the equation x = a, where a is the x-coordinate of the point where the line intersects the x-axis.
Since the line y=0 is also the x-axis, any vertical line passing through a point on the x-axis will be perpendicular to it. Therefore, there are infinitely many lines that are perpendicular to the line y=0.
For example, the equation for a line perpendicular to y=0 passing through the point (3,0) would be x=3.
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Seventy-five beans were equally divided into five pots. How many beans were in each pot?
Hey!
-----------------------------------
Solution:
75 beans ÷ 5 pots = 15
-----------------------------------
Answer:
15 beans are in each pot!
-----------------------------------
Hope This Helped! Good Luck!
Answer:
15
Step-by-step explanation:
if 75 beans is equally divided into 5 pots, divide 75 by 5.
Lines p, q, and r all pass through point (-3,4). Line p has slope 4 and is perpendicular to line q. Line r passes through Quadrants 1 and Quadrants 2 only. Write an equation for each line. Then graph the three lines on the same coordinate plane.
This response provides the equations for three lines that all pass through the point (-3, 4). Line p's equation is identified as y = 4x + 16, the equation for perpendicular line q is y = -1/4x + 5.75, and the equation for the horizontal line r, which only traverses Quadrants 1 and 2, is y = 4.
Explanation:The subject of your question is related to
Algebra of Straight Lines
, specifically, writing equations of lines that pass through a specific point (-3,4), and have certain slopes or orientations.
Let's start by examining line p which passes through the point (-3,4) and has a slope of 4. Using the point slope form of linear equation, we have y - y1 = m(x - x1). Substituting the given values, we get y - 4 = 4(x + 3) which simplifies to y = 4x + 16. This is the equation for line p.
The line q is perpendicular to line p, so its slope is the negative reciprocal of the slope of p, which is -1/4. Using point slope form of linear equation and substitifying the slope and point, we get y - 4 = -1/4(x + 3) which simplifies to y = -1/4x + 5.75. This is the equation for line q.
The line r is a little bit tricky since it's only mentioned to pass through Quadrants 1 and 2. This implies that the slope of r is 0, making line r horizontal. Because it passes through y=4, its equation is simply y = 4.
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Find the least
common denominator
3/5+4/7
Answer:
35
Step-by-step explanation:
5*1=5 5*2=10 5*3=15 5*4=20 5*5=25 5*6=30 5*7=357*1=7 7*2=14 7*3=21 7*4=28 7*5=35Line segment XY was used to draw a copy of ABC.XY is 3.5 centimeters long. What is the length of
AA' + BB'+CC'?
3.5(3)=10.5 this i the answer. I had this for hw.
The length of AA' + BB' + CC' using the segment length 3.5 cm gives 10.5 cm.
let segment XY used to draw a copy of ABC.
So, if AA', BB', and CC' represent the corresponding sides of the copy triangle A'B'C', their lengths are:
Two Triangle that are translated to each other are equidistant from each point to the original point.
Now, AA' = BB' = CC' = XY = 3.5 cm
So, AA' + BB' + CC'
= 3.5 + 3.5 + 3.5
= 10.5
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Solve for x. + 9 = 30 x = 34 x = 44 x = 24 x = 18
Answer:
11 =x
Step-by-step explanation:
0.0151515 convert repeating decimals to fractions
Answer:
1/66
Step-by-step explanation:
0.0151515 can be converted to the fraction 5/333.
Repeating decimals can be converted to fractions by setting the repeating part as x and subtracting the non-repeating part.
For example, to convert 0.0151515 to a fraction, let x = 0.015 and y = 0.1515, then subtract them: x = 0.015, 1000x = 15, y = 0.1515, 10000y = 1515. Subtract both: 999y = 1500 - 15 = 1485.
Therefore, the fraction is 0.0151515 = 15/999 = 5/333.