Answer:
The answer is x= 31
Step-by-step explanation:
(5x-16)+ (x+10)= 180 (Linear Pair)
Now, open the brackets
5x-16+x+10= 180
Arrange the like terms together
5x+x-16+10= 180
=> 6x-6= 180
=> 6x= 180+6
=> 6x= 186
=> x= 186/6 = 31
∴x= 31
Hope it helps!!
Arrange the given polynomial in descending order.
3x+7x +1
Answer:
10x + 1
Step-by-step explanation:
First, combine any like terms. Then make sure to rewrite in descending order.
3x + 7x + 1 <== combine any like terms
10x + 1 <== arrange in descending order
Hope this helps!
10. A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the
female in the household rather than the male in the household. A coupon book was sent at
random to either the male or female in a random sample of 50 male-female households. A
month later, a coupon book was sent to the other member of the pair. The manufacturer found
that the mean difference (female-male) in the number of coupons redeemed was 1.5 with a
standard deviation of 4.75.
Do these data provide convincing evidence that the mean number of coupons redeemed is
greater when the coupons were addressed to a female? Use a = 0.01.
а
Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:
[tex]H_1: \mu > 0[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the parameters are given as follows:
[tex]\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}[/tex]
t = 2.23
What is the conclusion?Considering a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.01 and 50 - 1 = 49 df, the critical value is given by [tex]t^{\ast} = 2.4[/tex].
Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
More can be learned about the t-distribution at https://brainly.com/question/26454209
Divide.
3
24yºx - 20yx?
52
5
- 3y x²
Simplify your answer as much as possible.
Answer:
(24y^3x-20y^5x^2)/(-3y^5x^2)
= y^3x(24-20y^2x))/(-3y^5x^2)
=(24-20y^2x)/(-3y^2x)
=(24/(-3y^2x))-((20y^2x)/(-3y^2x))
=(-8/y^2x)-(-20/3)
=-8/y^2x + 20/3
Hey, guys this is a really long question and I am so lost and stuck, as well as confused on what to do. So, I've gotten my phone taken away many times in the past because my parents claim I am "texting too much"... They always gave it back to me after about a week, but a couple weeks ago, they took it away, saying that they would take it away forever until I am old enough to buy myself a phone with my own money. It's also not like I'm using my phone THAT MUCH, I'm in Middle School and I have a TON of things to get done giving me hardly any time to relax and call my friends or text them. I think they’re being extremely harsh about it and not fair. They also won’t budge if I try to convince them to let me have it back. I am convinced that they deleted my number so that I couldn’t “find my phone” for whatever reason and text people. All my calls from my friends' phones go to voicemail right away, texts don't ever go though. What should I do?
also i picked a random category which was math so.. :D
Answer:
Ask for it back nicely. Maybe make some offers that might persuade your parents to give your phone back (like chores). Also do nice things for them so that they want to help you more.
Step-by-step explanation:
It works for me most of the time.
50 POINTS PLEASE ANSWER
Take 2 coordinates
(1,0)(8,6)Slope'-
m=6/8-1m=6/7Equation in point slope form
y-0=6/7(x-1)7y=6x-6y=6/7x-6/7Answer:
[tex]y=\dfrac67x-\dfrac67[/tex]
Step-by-step explanation:
From inspection of the graph, we have been given two points on the line:
[tex]\textsf{let}\:(x_1,y_1)=(1,0)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(8,6)[/tex]
Therefore:
[tex]\textsf{slope}\:(m)=\dfrac{6-0}{8-1}=\dfrac67[/tex]
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Substituting the values of m and (x₁, y₁):
[tex]\implies y-0=\dfrac67(x-1)[/tex]
[tex]\implies y=\dfrac67x-\dfrac67[/tex]
Therefore, the equation of the line in slope-intercept form is:
[tex]y=\dfrac67x-\dfrac67[/tex]
Please help me with this math problem!! Will give brainliest if correct!! :)
Step-by-step explanation:
a.
[tex]y = |x - 1| + 2[/tex]
b.
[tex] - x + 3 \: \: \: \: \: \: \: \: \: \: \: \: x \leqslant 1 \\ \\ x + 1\: \: \: \: \: \: \: \: \: \: \: \:x > 1[/tex]
What is the area of the trapezoid?
WILL MARK BRAINLYEST
Answer:
126 in^2
Step-by-step explanation:
A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]
how would i find the volume
Which of the following expressions can be used to calculate the perimeter of a square with side length 5 inches?
Answer:
...............................................................................................5x4
Need help fast !!!!!
I need help please and thank you
My method is a little bit different, but I hope it helps..
Total angle=103°+103°=206°
Total area=π×17×17=289π≈368.1
Area of shaded region=(206/360)×368.1
=210.6 sq. meter
What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squared 2 p 4) (p minus 2) (p 2) (p squared 4)
The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).
The polynomial equation given in the problem is,
[tex]p^4 - 16[/tex]
Let the factor form of the polynomial is f(p). Thus,
[tex]f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2[/tex]
Using the formula of difference of squares, we get,
[tex]f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)[/tex]
Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
Learn more about polynomial here;
https://brainly.com/question/24380382
Answer:
D Edge 2022
Step-by-step explanation:
Which did you include in your response? Check all that apply.
Use corresponding ordered pairs.
Divide the coordinates of the image by the pre-image.
Determine that the pre-image times the scale factor produces the image.
Answer:
It did not attach correctly try again and ill answer
Step-by-step explanation:
Post the attach picture or whatever goes with it
Question Progress
Homework Progress
23/51 Marks
Work out the size of angle x.
60°
xo
please help !!
Answer:
x = 60 degree
Step-by-step explanation:
x = 60 degree (being alternate angles )
Answer:
x = 60
Step-by-step explanation:
When two parallel lines are intersected by a transveral, the alternate interior angles are congruents.
x = 60
Find the total surface area of the cylinder shown. Leave the answer in terms of π.
A cylinder with radius 7 centimeters and height 10 centimeters. SA=2πrh+2πr2
Answer:
TSA of a cylinder = 2*pi*r(r+h)
Pi=22/7
TSA=2*22/7*7(7+10)
TSA=748 sq.cm
Step-by-step explanation:
The surface area of the given cylinder is 238π square centimeters
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that a cylinder with radius 7 centimeters and height 10 centimeters.
r = 7 cm
h = 10 cm
Surface area formula is 2πrh+2πr²
SA=2π×7×10 + 2π(7)²
=140π + 98π
=238π
Hence, the surface area of the given cylinder is 238π square centimeters
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. the side length of the pillow is 2x2 1 inches. she plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. what expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5? 2x2 4x−6; 22.0 inches 2x2 4x−6; 32.5 inches 4(2x2 4x−6;) 88.0 inches 4(2x2 4x−6;) 130.0 inches
From the calculation, it is clear that the mathematical expression required for both pillows is given as: 4(2x2+4x−6;) 130.0 inches (Options D)
Recall side length is given as: 2x² + 1; and
The Ribbon's side length is: 4x -7.
To determine the length of ribbon required for the two pillows, we must state:
= 4 (2x² +1) + 4(4x-7)
Expanding the bracket since is common to both sides of the expression, we state:
= 4(2x² +1 + 4x -7).
Collecting like terms and resolving sums and differences, we have:
= 4(2x²+ 4x -6).
Step two
Recall that length is given as x = 3.5 therefore,
substituting x in the equation, we have:
4 (2 * 3.5²) + 4 ((3.5)-6)
= 130 Inches.
Learn more about Mathematical Expressions at:
https://brainly.com/question/1852123
What is the value of x?
Answer:
x = 21
Step-by-step explanation:
We can first notice that this is a right triangle. Meaning that we can apply the pythagorean theorem when finding the missing side.
Pythagorean Theorem : a^2+b^2=c^2
But, we already have the hypotenuse, so we have to solve for the side being "b". a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.
20^2 + b^2 = 29^2
400 + b^2 = 841
Subtract 400 from both sides to get b^2 alone
-400 -400
b^2 = 441
Square root of each side to get b by itself
b = 21
This means the missing side is 21. Also meaning 21 is x.
x = 21
please help. I don't understand
Jose's mom gave him
$
40
for cutting their grass. He used the money to buy a
$
10. 75
game and two snacks that cost
$
3. 25
each. Joe also bought a bouquet of flowers for his mom. If Joe went home with
1
4
of the money his mom gave him, how much did the flowers cost?
6 / (1 / 9) = (6 / 1) = /9
-
O A. True
O B. False
Answer:
Step-by-step explanation:
6÷ 1/9 = 6/1 × 9/1 = 54
I can’t find the answer
Answer:
Choose one
Step-by-step explanation:
The fifth grade students participating in the math competition will be evenly divided into teams of 3 students each. How many students could be participating?
25
21
23
26
Answer:
21
Step-by-step explanation:
We know that the total number of students has to be divisible by 3. So to solve this specific problem, you can either use a guess and check system, prior knowledge, or by using a factoring method.
If we try to divide all four answer choices evenly by 3, only 21 leaves us with a whole number. Therefore, there could be 21 students participating.
25/3 = 8.33
21/3 = 7
23/3 = 7.667
26/3 = 8.667
Measures of population density indicate how crowded
a place is by giving the approximate number of people
per square unit of area. In 2009, the population of
Puerto Rico was approximately 3.98 x 106 people, and
the population density was about 1000 people per
square mile.
What is the approximate area of Puerto Rico in square
miles? Write your answer in scientific notation.
I beg of you, please help out!
Using the formula for population density, it is found that the approximate area of Puerto Rico is of 3980 square miles.
What is the formula for population density?It is given by the number of habitants divided by the area, that is:
[tex]D = \frac{H}{A}[/tex]
In this problem, we have that:
Puerto Rico has a population of [tex]H = 3.98 \times 10^6[/tex].The density is of about 1000 people per square mile, that is, [tex]D = 10^3[/tex].Hence:
[tex]D = \frac{H}{A}[/tex]
[tex]10^3 = \frac{3.98 \times 10^6}{A}[/tex]
[tex]A = \frac{3.98 \times 10^6}{10^3}[/tex]
A = 3980.
The approximate area of Puerto Rico is of 3980 square miles.
More can be learned about population density at https://brainly.com/question/26148357
Please help!!
Find the value of x
A. 12
B. 6
C. 10
Answer:
A. x = 12
Step-by-step explanation:
By inscribed angle theorem:
[tex](9x + 2) \degree= \frac{1}{2} [360 \degree - (80 + 60) \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [360 \degree - 140 \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [220 \degree] \\ \\ \implies \: (9x + 2) \degree= 110 \degree \\ \\ \implies \: 9x + 2= 110 \\ \\ \implies \: 9x= 110 - 2\\ \\ \implies \: 9x= 108 \\ \\ \implies \: x= \frac{108}{9} \\ \\ \implies \: \huge { \red{ \boxed{ x= 12}}}[/tex]
PLEASE HELP. 85 POINTS AND WILL CHOOSE BRAINIEST FOR THE FIRST CORRECT ANSWER!!!!
You randomly survey students in your school about the color of their eyes. The results are shown in the tables.
What percent of students in the survey are either female or have green eyes?
About % are either female or have green eyes.
What percent of students in the survey are males who do not have green eyes? About % are males who do not have green eyes.
Find the sum of these two percentages. The sum of these two percents is %.
Answer:
% of students who are female or have green eyes: 51% or 45/88
% of students who are males without green eyes: 49% or 43/88
The sum of these two percentages: 100%
Step-by-step explanation:
Since there were 48 men surveyed and 40 women there were 88 students surveyed in total.
For the first part:
Since the students had to either be female, 40 students, or have green eyes, 5 male students, there would be a total or 45 students who were either female or had green eyes. Or 45/88 = 51%
For the second part:
Since the students had to be male and NOT have green eyes... take the total number of male students, 48 students, and subtract those with green eyes, 5 students, to get a total of 43 male students without green eyes. Or 43/88 = 49%
Eighth grade > V.4 Area and circumference of circles CHV
The circumference of a circle is 43.332 miles. What is the circle's diameter?
Use 3.14 for .
Answer: [tex]D=13.8[/tex]
Step-by-step explanation:
To fing the diameter of a circle when given the circumfrence we use the formula of
[tex]D=\frac{c}{\pi }[/tex]
[tex]D= \frac{43.332}{3.14}[/tex]
[tex]D=13.8[/tex]
expand the following expression. 13/4 (2x + 3/4)
Hey there!
13/4(2x + 3/4)
= 13/4(2x) + 13/4(2x)
= 13/2x + 39/16
≈ 6 1/2x + 2 7/16
Therefore, your answer is:
13/2x + 39/16
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
7. John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The
fence is to be 15 feet from the edge of the pool.
The total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.
What is the perimeter of a rectangle?The measure of the boundary of the sides of a rectangle is called its perimeter. The perimeter of a rectangle is twice the sum of the sides of the rectangle.
[tex]P=2(a+b)[/tex]
Here, (l) is the length and (w) is the width of the rectangle.
John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The fence is to be 15 feet from the edge of the pool from all the sides.
Thus, add 15 two times in length and width for both side of pool. The length of the fence is,
[tex]l=23+15+15\\l=53[/tex]
The width of the fence is,
[tex]l=22+15+15\\l=52[/tex]
The perimeter of the fence is,
[tex]P=2(l+w)\\P=2(53+52)\\P=2(105)\\P=210\rm\; ft[/tex]
Thus, the total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.
Learn more about the perimeter of plane here;
https://brainly.com/question/1662271
#SPJ1
need help with question 7
Answer:
D. 7/8
Step-by-step explanation:
Answer:
D. 7/8. (has to be twenty characters long so here are some words )
I answered 2. Am I right?
Answer:
Yes, I agree, the score of 2 was an outlier, outside of what is close to everyone else's score
Step-by-step explanation: