Answers
Answer:
• x=9
,• y=13
Explanation:
Using the diagram below:
\(\begin{gathered} 10x-17=8x+1\text{ (Corresponding angles)} \\ 10x-8x=1+17 \\ 2x=18 \\ x=\frac{18}{2} \\ x=9 \end{gathered}\)Next, using the sum of angles on a straight line:
\(\begin{gathered} (6y+29)+(8x+1)=180\degree \\ (6y+29)+(8(9)+1)=180\degree \\ 6y+29+72+1=180\degree \\ 6y+102=180\degree \\ 6y=180-102 \\ 6y=78 \\ y=\frac{78}{6} \\ y=13 \end{gathered}\)The values of x and y are 9 and 13 respectively.
Related Questions
Wyatt and Laura want to split a bag of candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which Wyatt values at $3, $1, and $4 respectively.
Required:
If Wyatt is the divider, find a possible division that is consistent with his value system.
Answers
Answer:
Set A: 50 Snickers, 50 Milky Ways, 50 Reese's
Set B: 50 Snickers, 50 Milky Ways, 50 Reese's
Step-by-step explanation:
If Wyatt is the divider, both shares must have the same value, according to his value system, so that no matter what share Laura chooses, he would be satisfied.
The simplest way to do it is to just give each set half of the candies of each type:
Set A: 50 Snickers, 50 Milky Ways, 50 Reese's.
Set B: 50 Snickers, 50 Milky Ways, 50 Reese's.
the school has 48 students on the football team 18 of them are freshman what percent are upper classmen
Answers
Subtract 18 from 48 and get 30. Then you divide 30/48
F(x)=0.5^x what is the domain and range
Answers
Answer:
XER (X are all real numbers)
Step-by-step explanation:
as;dbdjkdbusaj hfsvd
Elsa is selling bracelets at craft shows to raise money for an animal shelter.
She is also accepting additional cash donations. She plans to give 75% of the
money from all bracelet sales and donations to the shelter. She will use the
remaining money to buy more supplies. Bracelet sales and donations from
the first craft show are represented by the expression 24n + 32, where n
represents the amount Elsa charges for each bracelet. The second craft
show sales and donations is represented by the expression 40n + 56. If Elsa
charges $4 for each bracelet, how much money will she donate to the
Answers
Answer:
$258 donated
Step-by-step explanation:
24(4)=96
40(4)=160
56+32=88
96+160+88= 344
344/4=86
86(3)=258
Answer:
$258 donated
Step-by-step explanation:
24(4)=96
40(4)=160
56+32=88
96+160+88= 344
344/4=86
86(3)=258
4x+5(7x-3)=9(x-5)
x????
Answers
Answer:
x=-1
Step-by-step explanation:
4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1
Answer:
\( \sf \: x = - 1\)
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30 ÷ 30
→ [ x = -1 ]
Hence, the value of x is -1.
Mr. Marshal spent his salary of $8 400 in the following manner: Rental .....1/5 Food.......1/10 Bank ......1/4 Miscellaneous ......... the remainder. what fraction of the money was spent on miscellaneous. how much did he spend on rental. if marshal spent 4/9 of miscellaneous on a trip what fraction of his entire salary was spent on the trip ?
Answers
Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.
To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.
Rental: 1/5
Food: 1/10
Bank: 1/4
To find the fraction spent on miscellaneous:
Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)
Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40
Fraction spent on miscellaneous = 1 - 17/40 = 23/40
So, Mr. Marshal spent 23/40 of his salary on miscellaneous.
To find the amount spent on rental, we multiply the fraction spent on rental by his salary:
Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680
Therefore, Mr. Marshal spent $1,680 on rental.
If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.
Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90
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A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
Answers
The required amount of the space available is 0.045 cubic meter.
We need to determine Space inside the steps.
What is volume?The Volume is defined as the mass of object per unit density.
The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2
= 0.06 - 0.015
= 0.045 cubic meter
Hence, the required amount of the space available will be 0.045 cubic meter.
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Write a cosine function that has a midline of 3, an amplitude of 2 and a period of 7/8
Answers
the length and width of a rectangle is in a ratio 3:2 find the area if the perimeter is 60 cm.
Answers
Given:
The ratio of the length and width of a rectangle is 3:2
The perimeter is 60 cm.
To find: Area of the rectangle
Explanation:
Let 3x and 2x be the length and breadth of the rectangle.
Using the formula of the perimeter,
\(\begin{gathered} P=2(l+b) \\ 60=2(3x+2x) \\ 60=2(5x) \\ 60=10x \\ x=6 \end{gathered}\)So, the length and breadth are 18cm and 12cm.
The formula of area of the rectangle is,
\(\begin{gathered} A=l\times b \\ A=18\times12 \\ A=216cm^2 \end{gathered}\)Final answer: The area of the rectangle is 216 square cm.
What is the product
of -5.6 and 12.04?
Answers
the answer to your question is -67.424
help me please! I’ll appreciate itfirst blank: rational or irrationalsecond blank: can or cannotthird blank: does or does not
Answers
Let's simplify the square root first.
Square root of 9 = 3 and square root of 4 = 2. Hence, the expression above can also be written as:
\(3+(5\times2)\)Solve the one in the parenthesis first then add.
\(\begin{gathered} =3+10 \\ =13 \end{gathered}\)Hence, the sum is 13. The result is rational because it can be written as the ratio of two integers and its decimal expansion does terminate or repeat.
what is the result of the following division 2x3 3x 5 x 3
Answers
63:
2x3=6
3x5=15
6+15=21
x 3 =…
63
Step-by-step explanation:
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Eight upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 7. The smallest domino, #0, is 4.00 cm tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 12% taller than the one before. What is the height of domino #7?
Answers
The height of domino #7 is approximately 6.89 cm tall.
How to solve for the heightThe formula for the nth term of a geometric progression is:
\(a_n = a * r^(^n^-^1^)\)
where:
a is the first term (the height of the smallest domino, 4.00 cm),
r is the common ratio (the growth rate, 1.12), and
n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).
Let's plug these values into the formula:
\(a_8 = 4.00 cm * (1.12)^7\)
(Note that we're using 7, not 8, because the first domino is #0, not #1.)
Now, compute the value:
\(a_8 = 4.00 cm * (1.12)^7\)
= 6.89 cm
So, domino #7 is approximately 6.89 cm tall.
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if you toss a die once, consider the two events , you get a 5 OR 6. YOU GET AT MOST 3. are these events independent, explain WHY OR WHY NOT
Answers
Answer: These events are independent.
Step-by-step explanation:
Two events are considered independent if the outcome of one event does not affect the outcome of the other event. In this case, getting a 5 or 6 on a dice toss and getting at most 3 on a dice toss are independent events.
This is because the probability of getting a 5 or 6 is 2/6 or 1/3, which is completely unrelated to the probability of getting at most 3, which is 3/6 or 1/2. The outcome of getting a 5 or 6 does not affect the probability of getting at most 3, and vice versa. Therefore, these events are independent.
Prove the following?
Answers
If a subset A of natural numbers (N) satisfies the conditions 0 ∈ A and if n ∈ A, then n+1 ∈ A, then A must be equal to the set of all natural numbers (N).
We will use a proof by contradiction to demonstrate this.
Assume that there exists a subset A of natural numbers that satisfies the given conditions, but A is not equal to N.
This means there exists a natural number k that is not in A.
Let B = N - A be the set of natural numbers that are not in A.
B is non-empty because it contains at least k.
Since 0 ∈ A, but k ∉ A, there must be a smallest natural number in B. Let's denote it as b.
Now, according to the given conditions, if n ∈ A, then n+1 ∈ A.
We can apply this repeatedly to obtain n+1, (n+1)+1, (n+1)+1+1, and so on.
Considering b-1, it is a natural number that is not in B because b is the smallest natural number in B. So, b-1 ∈ A.
Using the condition that if n ∈ A, then n+1 ∈ A, we can apply it repeatedly to b-1 to get (b-1)+1, (b-1)+1+1, and so on.
This implies that b, b+1, b+2, and so on, all belong to A.
However, this contradicts the fact that b is the smallest natural number in B, and A is defined such that it includes all natural numbers greater than or equal to 0.
Therefore, our assumption that A is not equal to N is false, and we can conclude that A = N.
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The table shows the age of a painting (x) in years, and its estimated dollar value (y).
A 4-column table with 6 rows. Column 1 is labeled x with entries 50, 54, 62, 65, 68, sigma-summation x = 299. Column 2 is labeled y with entries 1,200, 1,500, 2,400, 3,200, 4,100, sigma-summation y = 12,400. Column 3 is labeled x squared with entries 2,500, 2,916, 3,844, 4,225, 4,624, sigma-summation x squared = 18,109. Column 4 is labeled x y with entries 60,000, 81,000, 148,800, 208,000, 278,800, sigma-summation x y = 776,600.
Which regression equation correctly models the data?
y = 41.47x + 0.09
y = 41.47x + 1,279.93
y = 153.32x – 6,688.54
y = 153.32x – 6,325.76
Answers
Regression equation correctly models the data is: y = -43.98x + 1,279.93
To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.
Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.
The slope (m) can be calculated using the formula:
\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)
Plugging in the values from the table:
m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)
m = (776,600 - 3,708,800 / 6(18,109) - 89,401)
m = (-2,932,200 / 66,654)
m ≈ -43.98
The y-intercept (b) can be calculated using the formula:
b = (Σy - m(Σx)) / n
Plugging in the values from the table:
b = (12,400 - (-43.98)(299)) / 6
b ≈ 1,279.93
The correct regression equation that models the data is:
y = -43.98x + 1,279.93
Out of the given options, the correct regression equation is:
y = -43.98x + 1,279.93
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A voter in the upcoming election has many different types of issues on the ballot. Of the issues on the ballot, 7 are school related, 10 are ordinance related, and 2 are library related. If a single issue is picked at random, what is the probability that the issue is school or library related?
Answers
The probability of randomly picking a school or library-related issue from the ballot is 9/19 or approximately 0.474 (rounded to three decimal places).
To determine the probability of a randomly picked issue being school or library related, you'll need to consider the total number of issues and the number of school and library issues combined.
There are 7 school-related issues, 10 ordinance-related issues, and 2 library-related issues, making a total of 19 issues on the ballot. To find the probability of picking a school or library issue, combine the number of school and library issues: 7 + 2 = 9.
Now, divide the number of school and library issues (9) by the total number of issues (19): 9/19.
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complete the table below to find solutions to the linear equation -8x+y=8
Answers
where's the table??if you post the table I will help you
Answer:
(0,8)
(3,32)
(−1,0)
Step-by-step explanation:
What are the major goals of America's foreign policy?
Answers
Answer:
The State Department has four main foreign policy goals: Protect the United States and Americans; Advance democracy, human rights, and other global interests; Promote international understanding of American values and policies
Step-by-step explanation:
If AX = 45, find the value of y
2y + 1
y - 1
А
Х
O
15
X
Answers
Answer:
y =15
Step-by-step explanation:
2y + 1y - 1 AX
2y +1y - 1 (45)
3y - 45
3y = 45
y = 45/3
y = 15
I hope I helped you^_^
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
Answers
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Complete the square to re-write the quadratic function in vertex form:
y= x2 - 5x +9
Answer: y =
Submit Answer
Answers
11. Determine whether the relation is a function: {(a, b), (c,d), (a, c)}.
Yes
No
Answers
Answer:
no
Step-by-step explanation:
it can have the same y just not the same x, and this answer has two a's in place of x
if 50 marbles is divided among 3 boy I. the ratio of 2:4:6 find the share if each
Answers
Answer:
8:18:24
Step-by-step explanation:
2:4:6 = 12 parts
12 parts = 50 Marbles
1 part = 50/12 = 4 Marbles (approx)- Cannot be decimal
2 Parts = 2*4= 8
4 Parts= 4*4.5=18(approx)
6 Parts= 6*4 =24
The physician orders Keflex (cephalexin monohydrate) 0.5 g per NG tube q6h. Read the label and calculate the correct dosage.
Label reads : 250 mg per 5 mL
Answers
Answer:
100 mL
Step-by-step explanation:
0.5 x 1000 =500mg
250mg/5ml= 5mg per 1ml
500mg/x mL = 5mg/1ml
cross multiply
500=5mg XmL
=100mL
A prism with a length of 2 and one-fourth inches, height of 4 inches, and width of 2 inches. What is the volume of the prism? in.3.
Answers
Answer:
18 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is the product of its length, height, and width:
V = LHW = (2.25 in)(4 in)(2 in) = 18 in^3
The volume is 18 cubic inches.
Answer: 18
Step-by-step explanation:
THey were 100% right
A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
Answers
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
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Which of the following is a linear function?
A
y=2/x + 11
B. 2
y=x + 6
C
y=1/2 (x-9)
Answers
Answer:
y=x+6
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be
0
or
1
for each of its variables. In this case, the degree of variable
y
is
1
and the degree of variable
x
is
1
.
SELECT 3 OPTIONS:
Positive slope
Decreasing function
Constant slope
Negative slope
Increasing function
