Answer:
C
Step-by-step explanation:
2x + 1 = 85 (Alternate Interior Angles Theorem)
2x = 84
x = 42
(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)
3y + 5 + (85) = 180
3y + 5 = 95
3y = 90
y = 30
Answer:
x = 42, y = 30
Step-by-step explanation:
Alternate angles are equal so
85 = 2x + 1
2x = 84
x = 42°
Linear pair
(3y + 5) + (2x + 1) = 180
3y + 5 + 85 = 180
3y = 90
y = 30°
So I think the answer is x = 42° and y = 30°.
Hope it helps.
According to a survey, 61% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded.
(a) Find the probability that exactly 39 of the murders were cleared.
(b) Find the probability that between 36 and 38 of the murders, inclusive, were cleared.
(c) Would it be unusual if fewer than 20 of the murders were cleared? Why or why not?
Answer:
B
Step-by-step explanation:
I don't know if this is right but give it a like pls it would really make me happy.
15℅ of 6th grade teachers give homework over the holiday break. If 12 teachers give homework, how many total 6th grade teachers are there? Please show your work
Answer:
12
Step-by-step explanation:
Its a trick question, 15% of 6th grade teachers give HW, but there are 12 teachers. its not gonna be 15% of 12, because you would also get a fraction of a teacher.
1. HEIGHT Eduardo is 6 feet tall and casts
a 12-foot shadow. At the same time,
Diane casts an 11-foot shadow. Ilow tall
is Diane?
Answer:
5.5
Step-by-step explanation:
6 feet =12
6 feet = 6x2
11 feet shadow 11/2
answer=5.5
The height of the diane when the height of euardo and diane cast should be given so it should be 5.5.
Calculation of the height:Since
HEIGHT Eduardo is 6 feet tall and casts a 12-foot shadow. At the same time, Diane casts an 11-foot shadow.
So,
6 feet tall = 12
Now for 11 foot it should be half like 5.5
Hence, The height of the diane when the height of euardo and diane cast should be given so it should be 5.5.
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What is the value of min the figure below? In this diagram, AABD - ABCD.
A. 336
B. 78
C. 126
D. 624
E. 52
F. 178
Answer: correct answer is C
Step-by-step explanation:
The value of m in the figure is √126.
Option C is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
ΔABD is similar to ΔBCD.
This means,
The corresponding sides ratio is equal.
AB/BC = BD/CD = AD/BD
AB/m = BD/7 = 11/BD
Now,
BD/7 = 11/BD
BD² = 77
BD = √77
Now,
ΔBDC
BC² = CD² + BD²
m² = 7² + 77
m² = 49 + 77
m² = 126
m = √126
Thus,
The value of m in the figure is √126.
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Kaitlin bought a sofa on sale for $468. This price was 35% less than the original price.
What was the original price?
Answer:
720
Step-by-step explanation:
468 = 65% of the original price
So,
468÷ 0.65 = 720 $. Just to be sure 720*0.35 = 468
Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.
This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan
Answer:
The correct answer is B. Financial analysis.
Step-by-step explanation:
Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.
Answer:
B.
Step-by-step explanation:
what is the percent change for 45 to 8
Please help me i need it right now please
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]
Multiply both sides by 100.
[tex]7x+16x+27x=15000[/tex]
[tex]50x=15000[/tex]
Divide both sides by 50.
[tex]x=\dfrac{15000}{50}[/tex]
[tex]x=300[/tex]
The amount invested at 7% is [tex]300[/tex].
The amount invested at 8% is
[tex]2(300)=600[/tex]
The amount invested at 9% is
[tex]3(300)=900[/tex]
Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
Domain:___
Range:___
Function:___
Answer:
Domain: {-4,-2,1,3}
Range: {3,2,-1,-5}
Function: (-4,-5);(-2,-1);(-2,3);(1,2);(3,-1)
5/9 (f – 32) when f = 50
Answer:
10
Step-by-step explanation:
5/9(50-32)
5/9(18)
5/9×18=10
Hope this helps! :)
Which graph represents the function f(x) = 4/x ?
Answer:
Check image
Step-by-step explanation:
The graph of the function f (x) = 4/x is shown in figure.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 4 / x
Now, We can draw the function f (x) = 4 / x.
Hence, The graph of the function f (x) = 4/x is shown in figure.
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Please show your work
Answer:
a = 9
Step-by-step explanation:
a^2 = 41^2 - 40^2
a^2 = 1681-1600 = 81
a = 9
Need help in math and explain to me step by step
Answer:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]y = 4x - 1[/tex]
Required
Create a function table for inputs -2, 0, 2 and 4
When x = -2
[tex]y = 4*-2 - 1 = -9[/tex]
When x = 0
[tex]y = 4*0 - 1 = -1[/tex]
When x = 2
[tex]y = 4*2 - 1 = 7[/tex]
When x = 4
[tex]y = 4*4 - 1 = 15[/tex]
So, the table is:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
Amelia was showing off her basketball skills. She scored a total of 14 shots for a total of 32 points. How many 2 point and 3 point shots did she make?
Answer:
Step-by-step explanation:
x+y=14
y=14-x
2x+3y=32, using y=14-x we have
2x+3(14-x)=32
2x+42-3x=32
-x+42=32
-x=-10
x=10, and since y=14-x
y=14-10=4
So Amelia made 10 two-pointers and 4 three-pointers.
Who has the better biking rate? Josh bikes 24 miles in 20 minutes and Maddie bikes 39 miles in 30 min
Paul was thinking of a number. Paul subtracts 8 from it and gets an answer of 20.6. What was the original number?
Answer:
28.6 is the answer as when you subtract 8 from 28.6 you get 20.6 which Paul got
pls help
plsssssssssssss
Answer and Step-by-step explanation:
Because of the vertical angles theorem, the angle that is 65 degrees would be equal to y.
y = 65°
X and Y are supplementary angles, which form a linear lair. This linear pair will add up to 180 degrees.
TO find x, we subtract 65 from 180.
180 - 65 = 115
x = 115°
X and Z are vertical angles, so they are equal to each other.
z = 115°
x = 115°
y = 65
z = 115°
To solve for the length of PQ, we would use the Pythagorean theorem equation.
[tex]a^{2} +b^{2}= c^{2} \\\\\\a = PQ\\\\b = QR\\\\c = PR\\\\\\a^{2} + 24^{2} = 25^{2} \\\\a^{2} + 576 = 625\\\\a^{2} = 49\\\\a = 7[/tex]
The length of PQ is 7.
#teamtrees #WAP (Water And Plant)
Answer:
y = 65 degrees
x = 115 degrees
z = 115 degrees
Step-by-step explanation:
the angle between c and a will be the same as y because of vertical angles
the same goes for x and z
y and x are supplementary angles, so if y is 65 then you do 180 - 65 to get 115
Factorise the following expression :
Answer:
(i)(a - 2y) (3x - 4b)
(iii) (m - n)(m + 4)
Step-by-step explanation:
(i)
3ax - 6xy + 8by - 4ab
= 3x (a - 2y) - 4b (-2y + a)
= 3x (a - 2y) - 4b (a - 2y)
= (a - 2y) (3x - 4b)
(iii)
[tex] {m}^{2} - mn + 4m - 4n \\ \\ = m(m - n) + 4(m - n) \\ \\ = (m - n)(m + 4)[/tex]
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
A
Step-by-step explanation:
M = 17 x
The total cost = cost of t-shirts (number of t-shirts)
One week, Madeline earned $61.20 at her job when she worked for 4 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $214.20?
Answer:
Step-by-step explanation:
($61.2/4hr)t=$214.2
t=$214.2(4hr/$61.2)
t=14 hours
The area of a rectangle is 33ft, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle
Hi there!
[tex]\large\boxed{\text{ L = 6 ft, w = 5.5 ft}}[/tex]
Use the following equation for the area of a rectangle:
A = l × w
Since the length is 5 ft less than twice the width, we can write an expression for the length in terms of the width:
l = 2w - 5
Plug the given area and expression into the equation:
33 = (2w - 5) × w
Distribute:
33 = 2w² - 5w
Move everything over to one side:
0 = 2w² - 5w - 33
Factor the equation:
0 = (2w - 11)(w + 3)
Find each w value by setting each expression equal to 0:
0 = 2w - 11
11 = 2w
w = 5.5
0 = w + 3
-3 = w
Since dimensions must be positive, the width is 5.5 ft.
Plug this value into the initial equation to solve for length:
33 = 5.5l
33/5.5 = l
l = 6 ft.
The dimensions are length = 6ft, and width = 5.5ft.
Help pls show work if needed!!
Answer:
False
True
True
true
Step-by-step explanation:
65x+105=y
Substitute 6 for x to find the cost for 6 classes
65(6)+105=y
390+105=y
495=y
20/6 = x/36, what is the value of x?
Answer:
[tex]x = 20 \times 36 \div 6 \\ = 20 \times 6 \\ = 120[/tex]
Hope it helps
The circle graph shows the
number of votes received by each candidate during a
school election. Find the percent of students who voted
for the indicated candidate. (See Exploration 1, p. 247.)
10. Candidate A
11. Candidate B
12. Candidate C
Answer:
36%
Step-by-step explanation:
54/150=p/100
(150 comes from all of the numbers combined from the chart)
Do the math
150b=5400
divide both sides by 150
which gets you 36
just add the percentage
36%
Jeremy has 9 roses. One-third of the roses are white. How many roses are white?
Guys please help me I don’t understand and my test is due at 12 I only have 40min HELP GREATLY APPRECIATED!!!
Answer:
{9} Slope: -1
Y-intercept = 0
Step-by-step explanation:
Slope-----
Recall slope-intercept form
y=mx+b, with slope m and a y-intercept of b. With this in mind, we can rewrite our equation as y=−x+0
We see that our slope, or coefficient on x, is −1.
Y-intercept-----
We can rewrite this equation as:y=1x+0
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
Hope this helps!
The length of one wall in Mr. Shelby‘s classroom and 29 feet. What is the length of this wall in inches.
Answer:
348 inches
Step-by-step explanation:
29x12=348
The length of Mr. Shelby's wall is 348 inches.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, the length of one wall in Mr. Shelby's classroom and 29 feet, we need to convert it into inches.
So,
1 ft = 12 inches
Therefore,
29 ft = 29 × 12
= 348 inches
Hence, the length of Mr. Shelby's wall is 348 inches.
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PLZ HELP ME!!!! I'LL GIVE U EXTRA POINTS IF ITS RIGHT
Which of the following terms best describes the relationship between /W and /X ( Answer as soon as possible please)
Answer:
B. Same-side interior angles
Step-by-step explanation:
Angle w and angle x lie on the same side of the transversal that cut across the two parallel lines, and are also within the two parallel lines. They are therefore regarded as same-side interior angles. Same-side interior angles are supplementary.
Juan ran of a mile 2/5 every 4/7 of an hour. Find Juan’s rate in miles per hour
Answer:
Juan runs 7/10 of a mile every hour
Step-by-step explanation:
First find out how much he ran every 1/7 of an hour
2/5 x 1/4 = 4/7 x 1/4
1/10 = 1/7
1/10 x 7 = 1/7 x 7
7/10 = 1