Answer:
x = 9
Step-by-step explanation:
The two opposite interior angles that are opposite to the exterior angle are congruent as shown in the diagram.
Therefore, based on the exterior angle theorem of a triangle, we have the following equation:
2(7x + 2)° = (17x - 23)
14x + 4 = 17x - 23
Collect like terms
14x - 17x = -4 - 23
-3x = -27
Divide both sides by -3
-3x/-3 = -27/-3
x = 9
Mickey’s Pizza charges $5 per Medium Pizza and a $4 delivery charge.
Make a table with the following information:
Pizzas: 1, 2, 3, 4, 5
Cost:
Equation:
Ford provides an option of a sunroof and side air bag package for its Windstar model. This package costs$1400. Ford wants todetermine the percentage of Windstar buyers who would pay $1400 extra for the sunroof and side air bags. How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers
Answer:
601 buyers must be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?
We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.3[/tex]
Rounding up
601 buyers must be surveyed.
Erin loves to cook with fresh herbs. So, she decides to plant 8 different herbs and keep the
small pots on her kitchen windowsill. She starts with a 2-kilogram bag of soil and puts the
same amount of soil in each pot. If she uses all of the soil, how many grams does she add to
each pot?
This is a simple division problem, there are 1000 grams in 1 kilogram, so we do 2000/8, which is 250, so Erin put 250 grams of soil in each pot.
is it true or false that all whole numbers are natural numbers
Answer:it can very
Step-by-step explanation:
It depends on which definition of 'whole numbers' you use.
Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.
However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.
Answer:
every natural number is a whole number, but, every whole number is not a natural number.
Step-by-step explanation:
I will mark someone brainliest!
Answer:
2nd option is the correct answer
Step-by-step explanation:
Oscillating powerful magnets within wire coils.
Answer:
Step-by-step explanation:
I think it's got to be coal because the power plants always have like smoke and d is the only one that burns something
In a certain town there were 348 robberies last year. This year the number of robberies has gone down 40%. How many robberies were there this year, to the nearest whole number?
Answer:
209 robberies
Step-by-step explanation:
Robberies last year =348
Robberies has reduced by 40% which means there are (100-40)% = 60% robberies this year.
Number of robberies this year= 60% of 348 = 60/100 × 348 = 208.8
To the nearest whole number = 209
There are 209 robberies this year.
I hope this help.
Can someone plz help me with my whole homework?
1.The original price is $20. The Percent of Discount is 20%. What is the sale price?
2.The original price is $95. The Percent of Discount is 35%. What is the sale price?
3.The Percent of Discount is 75%. The sale price is $55.50. What is the original price?
4.The Percent of Discount is 40%. The sale price is $78. What is the original price?
5.Find the selling price. The cost to store: $20. The markup: 15%.
6.Find the selling price. The cost to store: $56. The markup: 80%.
7.Find the selling price. The cost to store: $110. The markup: 140%.
8.A store buys an item for $10. To earn a profit of $25, what percent does the store need to markup the item?
9.An account earns simple interest. Find the interest earned.
$400 at 7% for 3 years
10.An account earns simple interest. Find the balance of the account.
$400 at 7% for 3 years
11.An account earns simple interest. Find the interest earned.
$1200 at 5.6% for 4 years
12.An account earns simple interest. Find the balance of the account.
$1200 at 5.6% for 4 years
13.Find the annual interest rate.
I = $18, P = $200, t = 18 months
14.Find the annual interest rate.
I = $310, P = $1000, t = 5 years
15.Find the amount of time.
I = $60, P = $750, r = 4%
16.Find the amount of time.
I = $825, P = $72500, r = 5.5%
17.You put $500 in a savings account. The account earns $15.75 simple interest in 6 months. What is the annual interest rate?
Answer:
Step-by-step explanation:
Answer:
people may not be doing it because u have it up for 5 points and it is alot of work.
Step-by-step explanation:
What the value of x? Round to the nearest tenths place
Answer:
2.7084
Step-by-step expla
Which club has more boys?
Drama Club
• Has 60 members.
• There are twice as many
girls as boys in the club.
Debate Club
• Has 50 members
• There are 10 more girls than boys in the club.
Answer:
Debate club
Step-by-step explanation:
to get the answer that you need what you have to do is 60 / 2 and that equals 30 and then next what you have to do 50 - 10 and that gives you 40 so if you look closely you can see that 40 is bigger than 30 so that's how you get your answer I hope I help you out
A rectangular prism has a length of 14ft, a height of 8ft, and a width of 15ft. What is
its volume, in cubic ft?
Answer:
37
Step-by-step explanation:
14 + 8 + 15
Answer: 1680³
Step-by-step explanation:
length x width x height
14 x 15 x 8
Use the distributive property to write an equivalent expression. (6+8)x 2
graph y = 1/2x+3
identify the x intercept
step by step explanation
Step-by-step explanation:
x-intercept: where y = 0
Set y to zero to find x.
0 = ½x + 3
-3 = ½x
x = -6
(-6, 0)
4. Estimate:
2 1/6 - 1 2/7 =
Answer:
Uhh I just want the points
Round 1231.50432 to the nearest tenth
Answer:
1231.5
Step-by-step explanation:
I hope this help.
If M= {m, a,t} how many subsets of M are there?
Answer:
8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}
what is the area of triangle ABC?? i need this asap
Answer:
A) 36√3
Step-by-step explanation:
First, figure out the height. Since it's an equilateral triangle, it would be
6²+B²=12²
36+B²=144
B²=144-36
B²=108
B=√108
B=√36x√3
B=6√3
Now we can get the area.
1/2(6√3)(12) = 36√3
write an expression that mean "eight less than product of seven and X".
Answer:
7x - 8
Step-by-step explanation:
eight less than product of seven and X
seven and x = 7x
eight less than = - 8
put it all together = 7x - 8
Answer:
7x - 8
Step-by-step explanation:
product of seven and X
7 X x = 7x
8 less than it
7X - 8
This is because we're looking for something that is smaller than 7X by 8
Does someone know the answer I NEED IT NOW
Answer:
2nd option ,
A is correct, B is incorrect, C is correct
Please someone explain how to solve this piecewise function!!!! Im super confused
Answer:
From top to bottom:
[tex]0, 1, 2, -8, -8[/tex]
Step-by-step explanation:
We are given the piecewise function:
[tex]g(x) = \left\{ \begin{array}{ll} 0.5x+1 & \text{if } x \leq 2 \\ -8 & \text{if } x > 2 \end{array} \right.[/tex]
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
[tex]g(-2)=0.5(-2)+1=-1+1=0[/tex]
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
[tex]g(0)=0.5(0)+1=1[/tex]
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
[tex]g(2)=0.5(2)+1=1+1=2[/tex]
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
[tex]g(4)=-8\text{ and } g(6)=-8[/tex]
Please help!!! Find the volume of the cylinder.
Round to the nearest tenth.
r= 3 cm
3 cm
V = [ ? ] cm3
Enter the number that goes in the green box.
Answer:
V ≈ 84.8 cm³
General Formulas and Concepts:
Math
π (pi) - 3.14159265RoundingPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Identify Variables
Radius r = 3 cm
Height h = 3 cm
Step 2: Find Volume
Substitute in variables [Volume Formula]: V = π(3 cm)²(3 cm)[Volume] Evaluate exponents: V = π(9 cm²)(3 cm)[Volume] Multiply: V = 27π cm³[Volume] Multiply: V = 84.823 cm³[Volume] Round: V ≈ 84.8 cm³Can someone help me with this please
Answer:
Step-by-step explanation:
As we know, the four angles of the rectangle are 90°.
So, we need to find ∠AEB first.
∠AEB=180-44-90 (∠s sum of Δ)
= 46°
We can then work out x.
x=180-59-46 (adj. ∠s on st. line)
x=75°
What's the slope of the line through (1,3) and (-2,-3)
Answer:
m = 2
The slope of the line through (1, 3) and (-2, -3) is 2!
The formula to find the slope is attached below.
Hope I was of help. Have a good new year!
If Elijah works between 240 and 249 hours during the summer, how much money will he earn? Write and solve two equations: one for the most amount and one for the least amount of money he could have earned.
Find the solution of the system of equations. -3x – 2y = 36 3х – 5y = 6
Answer:
y = -6
x = -8
Step-by-step explanation:
I hope you can read my handwriting.
Have a wonderful day!
Find the area of each. Use pi = 3.14
Answer:
452.16 inches
Step-by-step explanation:
A = pi r^2
A = 3.14 * (12)^2
A = 3.14 * 144
A = 452.16 inches
(a) Mary and Cynthia were building a cone-shaped sand castle. After some time, the diameter of
the sand shaped cone was 14 in. and the height was 15 in. What is the appoximate volume of the
sand cone rounded to the nearest tenth? (Show work!!) PLEASE HELP!
Answer:
[tex]\displaystyle V\approx 769.7\text{ in}^3[/tex]
Step-by-step explanation:
We are given that the diameter of the sand-shaped cone is 14 inches, and the height is 15 inches.
The volume for a cone is given by:
[tex]\displaystyle V=\frac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height.
Since the diameter is 14, the radius is 7.
And we are given that the height is 15.
Therefore, the volume will be:
[tex]\displaystyle V=\frac{1}{3}\pi (7)^2(15)[/tex]
Use a calculator:
[tex]\displaystyle V\approx 769.7\text{ in}^3[/tex]
The volume of the cone is approximately 769.7 cubic inches.
The greater number
Is 0.098% greater than 7 1/3
Answer:
the greater number is 7 1/3.
Justin cuts 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?
Answer:
1.67 inches
Step-by-step explanation:
HOPE IT HELPS YOUU
Brenda sells necklaces at the 23rd Street Flea market. It costs her $10.00 in materials to make the necklaces. She decides to mark-up the price of her ned
by 75% to make a profit. An hour before the flea market closes she decided to reduce the leftover necklaces by 20% from the morning's price. How much
she selling her necklaces at the end of the day?
$20.00
Answer:
$ 14.00
Step-by-step explanation:
10 · 1.75 = 17.50
17.50 · .20 = 3.5
17.50 - 3.50 = 14.00
good luck, i hope this helps :)
Which equation represents circle A?
Answer:
there answer is either a or c
Equation C represents circle A.Option C is correct.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
The generalized equation of the circle with the coordinate(h,k) and radius r is;
(x-h)²+ (y-k) =r²
After graphing each and every equation given in the options we will come to the conclusion that equation c satisfies the given circle as;
(x-4)²+ (y-(-5)) =6²
(x-4)²+ (y-(-5)) =36
Hence option C is correct.
To learn more about the circle, refer to the link: https://brainly.com/question/11833983.
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