Answer:
y = -1x + 12
Step-by-step explanation:
Kim has a piece of string that is 190 cm long. She wants to wrap it around a circular tree trunk that has a
diameter of 15 cm.
About how many times will Kim be able to wrap the string around the tree trunk? (Use 3.14 as an
approximation for 7.) can you please explain how to do it
Answer:
We find the circumfrence of the tree trunk as 2pi r, and the radius is half of the diameter so we have 7.5 times 3 times 3.14, so 15 times 3.14, which is 47.1, and now we have to divide 190 by 47.1, and we estimate to find that she can wrap the string around 4 times.
brainliest please?
The number of times Kim will be able to string around the tree trunk will be equal to 4 times.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
It is given that the circular tree trunk has a diameter of 15cm. So, we need to find the circumference using the formula which is :
Circumference of tree trunk = 2πr
We know that the radius is half of the diameter i.e.,
r = 15/2 = 7.5 cm
so , the circumference of the tree trunk will be :
= 2 × 3.14 × 7.5
= 47.1 cm
The length of the piece of string is 190 cm long. To find out the number of times Kim will be able to string around the tree trunk can be calculated as :
= 190 ÷ 47.1
= 4.03
≈ 4 times
Therefore , the number of times Kim will be able to string around the tree trunk will be equal to 4 times.
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answer fast plz sjsjzjz
Answer:
104
Step-by-step explanation:
Just separate the whole thing into two shapes. Multiply the first shape: 12 x 7 = 84
Multiply the second shape: 5 x 4 = 20
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold 640 worth of jewelry. How much did Heidi make in commission? How much did the jewelry store make from sales?
Answer:
12,800 Dollars USD
Step-by-step explanation:
add 3 and z, then double the result
Answer:
6+ 2z
Step-by-step explanation:
2(3+z)= 6+ 2z
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answer:
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
Step-by-step explanation:
a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
A resort hotel rents
bicycles for $20 plus an hourly rate of $6. A
nearby hotel rents bicycles for $15 plus an hourly
rate of $8.
Which equation can be used to determine h, the
number of hours it will take for the cost of renting
a bicycle at both hotels to be the same?
Answer:
the answer is 20+6h=15+8h
Tyler is 6 feet tall and Blake measures his shadow to be 10 ½ feet long. Maddie measures the shadow of the tree to be 21 feet long. How tall is the tree to the nearest tenth of a foot.
20 Points
The tree is approximately 12 feet tall to the nearest tenth of a foot.
We have,
To find the height of the tree, we can set up a proportion using the measurements of the shadow.
Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:
Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length
6 feet / 10.5 feet = Tree's height / 21 feet
To find the tree's height, we can cross-multiply and solve for it:
6 feet x 21 feet = 10.5 feet x Tree's height
126 feet = 10.5 feet x Tree's height
Dividing both sides of the expression by 10.5 feet:
126 feet / 10.5 feet = Tree's height
12 feet = Tree's height
Therefore,
The tree is approximately 12 feet tall to the nearest tenth of a foot.
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A new gaming chair costs $309.99. You have already saved $144.99 and earn $27.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
27.5w − 144.99 = 309.99; w = 17
27.5 + 144.99w = 309.99; w = 6
27.5w − 309.99 = 144.99; w = 17
27.5w + 144.99 = 309.99; w = 6
The linear equation we need to solve is:
$27.50*w = $309.99 - $144.99
And the solution is w = 6.
How to write and solve the equation?
We know that the cost of the gaming chair is $309.99.
To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:
f(w) = $144.99 + $27.50*w
So the linear equation we need to solve is:
$144.99 + $27.50*w = $309.99
To solve this we need to isolate w.
$144.99 + $27.50*w = $309.99
$27.50*w = $309.99 - $144.99
w = ($309.99 - $144.99)/$27.50 = 6
So they can buy the chair after 6 weeks.
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suppose you start with one penny and repeatedly flip a fair coin. each time you get heads, before the first time you get tails, your number of pennies is doubled. let x be the total number of pennies you have at the end. compute e(x).
The total number of pennies you have at the end are 2^26 pennies
Imagine, at the first day have only one penny. Then tomorrow have 2 pennies, next day have 4 (2x2), next day have 8 (4x2), next day have 16 (8x2) and so forth.
Geometric Sequence
A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio
It looks like geometric sequence (the ratio between the number of pennies that from the 2nd day and the 1st day is 2)
So, by using geometric sequence theorem can total those pennies until day 27
S (total pennies at day-27) = (1)(2^27-1) / 2-1 = 2^26 pennies
So, have 2^26 pennies.. a big number of pennies=))
The formula is: S = a( r^n-1) / r-1
a= the number of pennies that have got at the 1st day
n= number of days spent to collect those pennies)
r= the ratio of the number of pennies
2^26 pennies
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What is the quotient of 3 and 1/5?
Answer:15
Step-by-step explanation: use a calculator
4x-1/3-x+4/3 pls answer for me
Answer: 3x-1
Step-by-step explanation:
Combine like terms, 4x-x=3x, 4/3-1/3=1
3x-1
State the center point and radius of the circle. Write the equation of the circle in standard and general form.
Answer:
center: (2, -1)radius: 4standard form: (x -2)² +(y +1)² = 16general form: x² +y² -4x +2y -11 = 0Step-by-step explanation:
You want the center, radius, and equations in standard form and general form for the circle shown in the graph.
CenterThe center is the point marked. Its coordinates are ...
(x, y) = (2, -1)
RadiusThe radius is the distance from the center to any point on the circle. It is usually convenient to read the radius on a graph by considering points on the same horizontal or vertical line as the center of the circle.
Here, the circle passes through point (6, -1), so the radius is 6 -2 = 4.
The radius is 4 units.
Standard formThe standard form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
For center (2, -1) and radius 4, this is ...
(x -2)² +(y +1)² = 16 . . . . standard form equation
General formThe general form of a polynomial equation is f(x, y) = 0, with the terms listed in lexicographical order by decreasing degree. This is found from the standard form by expanding it, combining terms, and arranging them in the required order:
(x -2)² +(y +1)² = 16 . . . . . standard form
x² -4x +4 +y² +2y +1 -16 = 0 . . . . . eliminate parentheses, subtract 16
x² +y² -4x +2y -11 = 0 . . . . general form equation
Linda earns 47 dollars per week working part-time at a book store. She makes one dollar more for each book that she sells. The amount, A (in dollars), that
Linda earns in a week if she sells b books is given by the following.
A=47 + b
How much does Linda earn in a week if she sells 32 books?
Answer:
A=$79
Step-by-step explanation:
47+B=A=47+32=79
An investigation of wages paid to its employees by a large company was undertaken as a result of an allegation of discrimination. Data was collected for 1000 randomly selected employees. The data included employee ID, gender, race, annual wages in dollars (Salary), whether the employee had full-time status or part-time status (Full_Part), number of years of education (Ed), and number of years with the company (Tenure). The first two rows of data in the worksheet are displayed below.
1 Gender Race Salary Full_Part Ed Tenure
2 Female Caucasian 32196 Full 14 2
3 Male Black 62385 Full 16 10
How many cases does this data set contain?
How many variables does this data set contain? (3 p)
How many quantitative variables does this data set contain, and what are they? How many qualitative variables does this data set contain, and what are they?
Answer:
Step-by-step explanation:
First, the data set is:
Gender Race Salary WorkTimeStatus Education Tenure
1. Female Caucasian 32196 Full Time 14yrs 2 yrs
2. Male Black 62385 Full Time 16yrs 10yrs
Now to the questions:
(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).
(B) This data set contains 6 variables;
1. Gender 2. Race 3. Salary 4. Work time status 5. Years of education
6. Number of years in/with the company
(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:
3. Salary 5. Years of education 6. Years with the company
Altogether, 3 in number
(D) The qualitative variables are:
1. Gender 2. Race 4. Work Time Status
Altogether that's 3 variables
Alex wrote checks on Tuesday for $40 and $35. He also made a deposit in his checking account of $185. Find the overall change in the amount in his checking account.
$____ was 1. added to 2. deducted from Alex's account.
Answer:
He retrieved 75$ from his account then he put back 170$ so +75 and -170 so in total the answer would be 245$
Step-by-step explanation:
Broooo my name isss alexxxx tooo
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
r= 3 inches, s = 15 inches
Answer:
45 inches
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
I need help with the 2 questions. What is the mean age of the employees to the nearest year?
What is the median age of the employees?
HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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A grocery store introduced two new flavors of scones: cranberry and orange.
On the first day, 28 cranberry scones and 16 orange scones were sold.
Each day after that, 14 cranberry scones and 11 orange scones were sold.
Drag the tiles to complete the table. Each tile may be used once, more than once, or not at all.
Step-by-step explanation:
For the Cranberry Scones you all add 14 with it so 14+28=42 42+14=56 56+14=70 70+14=84. So, the answers on Cranberry scones are
28 42 56 70 84
Orange scones you add 11 to all of them so 11+16=27 27+11=38 38+11=49 49+11=60.So the answer on Orange Scones is
16 27 38 49 60
2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
a taxi company currently has nine cabs in its fleet, and its total daily cost is 4,000. if the company added a 10th cab its daily total cost would be 4.200 or 420 per cab.
Answer:
4000÷9 the answer it gaves for one you add it to the 4000
(d) 8x + 3y = -45x + 2y = 6Solve the following simultaneous linear equation
To solve the following simultaneous linear equation, we are going to solve for y on the first equation and replace it on the second as:
\(\begin{gathered} 8x+3y=-4 \\ 3y=-4-8x \\ y=\frac{-4-8x}{3} \\ y=\frac{-4}{3}-\frac{8x}{3} \end{gathered}\)Replacing it on the second equation and solving for x, we get:
\(\begin{gathered} 5x+2y=6 \\ 5x+2(\frac{-4}{3}-\frac{8x}{3})=6 \\ 5x-\frac{8}{3}-\frac{16x}{3}=6 \\ 5x-\frac{16}{3}x=6+\frac{8}{3} \\ \frac{-1}{3}x=\frac{26}{3} \\ -x=26 \\ x=-26 \end{gathered}\)Finally, replacing x on the first equation and solving for y, we get:
\(\begin{gathered} 8x+3y=-4 \\ 8(-26)+3y=-4 \\ 3y=-4+208 \\ 3y=204 \\ y=\frac{204}{3}=68 \end{gathered}\)Answer: x = -26 and y = 68
To make subtraction of 5x - 16x/3, we can use the following equation:
\(\frac{a}{b}-\frac{c}{d}=\frac{a\cdot d-b\cdot c}{b\cdot d}\)\(\begin{gathered} 5x-\frac{16x}{3}=\frac{5x}{1}-\frac{16x}{3}=\frac{5x\cdot3-1\cdot16x}{1\cdot3}=\frac{15x-16x}{3}=\frac{-1x}{3} \\ \end{gathered}\)A chemical company makes 2 brands of antifreeze. the first brand is 35% pure antifreeze and the second is 85% pure aantifreeze. in order to obtain 70 gallons of a mixture that contains 80% pure antifreeze how many gallons of each brand must be used?
Let A be the amount of the brand of 35% pure antifreeze, and B the amount of the brand of 85% pure antifreeze.
Since a total of 70 gallons is to be obtained, then:
\(A+B=70\)The total amount of pure antifreeze at the end should be 80% of 70, which is:
\(\frac{80}{100}\cdot70=56\)On the other hand, the total amount of antifreeze in A gallons of the first brand and B gallons of the second brand is:
\(\frac{35}{100}A+\frac{85}{100}B\)Therefore:
\(0.35A+0.85B=56\)Isolate A from the first equation and substitute in the second one to find B:
\(A=70-B\)\(\begin{gathered} \Rightarrow0.35(70-B)+0.85B=56 \\ \Rightarrow24.5-0.35B+0.85B=56 \\ \Rightarrow0.5B=56-24.5=31.5 \\ \Rightarrow B=\frac{31.5}{0.5} \\ \Rightarrow B=63 \end{gathered}\)Substitute B=63 into the expression for A:
\(\begin{gathered} A=70-63 \\ =7 \end{gathered}\)Therefore, to make a mixture of 70 gallons of 80% pure antifreeze, we need 7 gallons of the 35% pure brand and 63 gallons of the 85% pure brand.
Can somebody help me if you know what this is
Answer:
C
Step-by-step explanation:
what is the greatest common factor of 72 and 54 ?
in other words, what is the biggest number that divides both numbers without remainder ?
I use a prime factor analysis (identify all the prime factors).
72 :
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 2 no
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
72 = 2⁴×3²
54 :
54 ÷ 2 = 27
27 ÷ 2 no
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
54 = 2×3³
the largest number that can divide them both without remainder is the combination of the prime factors they have in common :
2 × 3² = 18
7 pounds of potatoes cost $63. How many pounds ofpotatoes can you get with $261?
We know that 7 pounds of potatoes cost $63.
This is a proportional relationship between quantity (pounds of potatoes) and cost.
We can calculate how many pounds of potatoes we can get with $261 applying the Rule of three:
\(261\text{ \$}\cdot(\frac{7\text{ pounds}}{63\text{ \$}})=29\text{ pounds}\)We can buy 29 pounds of potatoes with $261
NOTE: I use the units ($ and pounds) to know how to multiply them in order to get the result I was looking for.
Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .
Answer:
\(\cos G=\dfrac{2}{3}\)
\(\csc E=\dfrac{3}{2}\)
\(\cot G=\dfrac{2}{\sqrt{5}}\)
Step-by-step explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.
\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)
Therefore:
EF = 2√5FG = 4EG = 6\(\hrulefill\)
To find cos G, use the cosine trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:
\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\hrulefill\)
To find csc E, use the cosecant trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:
\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)
\(\hrulefill\)
To find cot G, use the cotangent trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)
log x ( 3 ) = 1/4 what is log x 9
log x 9 = log x (3)² = 2log x ( 3 ) = 2×1/4 =1/2
Just to make sure, does this make sense?
Answer:
It makes sense to me but I don't know if anyone else agrees
Step-by-step explanation:
what is 3/4 + 1/2 and what is 1/3 + 11/48 in simplest form and a mixed number
Answer:
1) 5/4 or 1 1/4
2) 9/16
Step-by-step explanation:
3/4+1/2: you multiply 1/2 by 2 to get a common denominator then get 2/4, 3+2=5, 5/4 or 1 1/4
1/3+11/48: you multiply 1/3 by 16 to get common denominator & get 16/48, 16+11= 27/48, divide by 3 & get simplest form of 9/16
Answer:
3/4+1/2= 1 5/8 and 1/3+11/48 is not a mixed number 9/16
Step-by-step explanation: