Answers
Answer: y = 23 x = 28
Step-by-step explanation:
First find the value of y.
The angle (5y -4) and 3y forms a straight line which means that if you add them together they will equal 180 degrees. Add them and set them equation to 180 to solve for y.
5y-4 + 3y = 180
8y -4 = 180
+4 +4
8y = 184
y= 23
Since y is equal to 23, then input y into the expression (5y-4) to find the main angle value and then add it with the angle (2x+13) to equal to 180 degrees because they also form a straight angle.
5(23) - 4
115 - 4 = 111
111 + (2x + 13) = 180
124 + 2x = 180
-124 -124
2x = 56
x = 28
x is equal to 28 degrees.
Check.
111 + 2(28) + 13 = 180
111 + 56 + 13 = 180
180 = 180
Related Questions
What is the opposite of -40 ?
Answers
Answer:
positive 40, just regular 40
Step-by-step explanation:
Positives and negatives are opposites
(100 POINTS AND BRAINLIEST)
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
IMMEDIATE PLEASE.
Answers
Answer:
[tex]-1/13\text{ tub per hour}[/tex]
Step-by-step explanation:
First, let's find how much of the tub was used within the time.
We know that the tub was 2/3 full was Jenna started.
And it was only 1/6 full when Jenna ended.
Therefore, to find the amount used, we can subtract 1/6 from 2/3. So:
[tex]u=\frac{2}{3}-\frac{1}{6}[/tex]
Make a common denominator. Change 2/3 to 4/6 by multiplying both layers by 2. So:
[tex]u=\frac{4}{6}-\frac{1}{6}[/tex]
Subtract and reduce:
[tex]u=\frac{3}{6}=\frac{1}{2}[/tex]
Therefore, 1/2 of the tub was used after 6 1/2 hours.
To find the average hourly change, we will put the amount used over the amount of hours. 6 and 1/2 hours is the same as 13/2 hours. Therefore, the hourly change will be:
[tex]c=\frac{\frac{1}{2}}{\frac{13}{2}}[/tex]
Remember when dividing fractions, we:
1) Flip the divisor (the second number).
2) Change the division sign to a multiplication sign.
3) Multiply.
So:
[tex]c=\frac{1}{2}\div\frac{13}{2}\\\Rightarrow c=\frac{1}{2}\times \frac{2}{13}[/tex]
Multiply straight across and reduce:
[tex]c=\frac{2}{26}=\frac{1}{13}[/tex]
However, since we are using up the tub, our rate will be negative. Therefore:
[tex]c=-\frac{1}{13}[/tex]
Therefore, the average hourly rate was -1/13 tub per hour.
This means that after each hour, 1/13 of the tub will be used up.
Edit: Corrected Wrong Answer
Answer: -1/13 of a tub per hour
Step 1: Subtract.
2/3 - 1/6 = ?
Step 2: Find the common denominator.
4/6 - 1/6 = 3/6.
Step 3: Simplify the fraction.
3/6 = 1/2
Step 4: Put 1/2 over 13/2.
1/2 over 13/2
Step 5: Flip divisor around. Then divide.
1/2 ÷ 13/2
Step 6: Multiply.
1/2 × 2/13 = 2/26.
2/26 reduced = 1/13.
Since it was used, now it is -1/13
Answer = -1/13 of a tub per hour
In the diagram below, find the value of y.
Answers
Answer:
y=130
Step-by-step explanation:
1) combine all like terms for the inside angles of the triangle
(3x-19) + (4x+8) + (x+7)3x-19+4x+8+x+78x-42) because the sum of all angles = 180 add that to the sum of all like terms
8x-4=180add 4 on both sides and divide both sides by 8this should be x=233) now you replace the x's with 23
(3(23) -19)69-19504) now we know that (3x-19)=50
5) take 180 and subtract 50
this is because y and (3x-19) creates a supplementary angle which also equals 1806) 180-50=130
Andrea jumped 5 times every 45 minutes. At that rate, how many
would she jump in 54 minutes?
bo optional
Answers
Answer:
6 times
Step-by-step explanation:
If Andrea jumps 5 times every 45 minutes, she will jump 1 time every 9 minutes. 54 divided by 9=6 times. Hope it helps!
d =−12 is one of two solutions of the equation |d+ 9|=3
true or false
Answers
Let's find out by replacing d with -12. Then we'll simplify the left side
|d+9| = 3
|-12+9| = 3 .... replace d with -12
|-3| = 3
3 = 3
Since we get a true statement, ie the same thing on both sides, this means the original equation is true when d = -12.
Therefore d = -12 is one of the two solutions to the original equation.
Answer: TrueAnswer:
True
Step-by-step explanation:
We can check this by substituting x = - 12 into the left side of the equation. If the result is equal to the right side then it is a solution.
| - 12 + 9 | = | - 3 | = 3 = right side
Thus x = - 12 is one of the solutions to the equation.
[ The other solution is x = - 6 ]
Find the missing side in the similar figure below
Answers
Answer:
30
Step-by-step explanation:
20 divided by 12 is 5/3.
18x5/3 is 30, meaning the missing side is 30.
The value of x from the diagram is 30
Similar shapesThese are shapes with the same sides and angles
From the given figures, we are to get the value of x as shown.
Using the similarity theorem;
18/12 = x/20Cross multiply
12x = 18 * 20
12x = 360
x = 30
Hence the value of x from the diagram is 30
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(1 point) The linear function y=3x+30 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x years after 2000. Find the slope for the model. Then describe what this means in terms of the rate of change in the average cost of a haircut over time.
Answers
Answer:
3 is the slope
Step-by-step explanation:
Mathematically, a linear function can be represented in the form;
y = mx + c
where m represents the slope and c is the y-intercept of the function.
In the equation given in the question above;
The slope of the equation is 3
What this means is that, the average rate of change between two points in the plot of the linear function is 3
Mathematically speaking, we mean that given two years and their corresponding average haircut prices, then the average rate of change between these two years on the plot is 3
Can someone please help me here! Tell me the answer I’ll give a brainliest to the one who is right!
Answers
Answer:
False
Step-by-step explanation:
The equation is equal to -24 = -19. That's not true
Answer:
False. The equality is false because the left-hand and right-hand sides are different
i did the equation as the x in between 3 and (-8) as x, not times
Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours per week, and it has $3000 outlay weekly on operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item is $5 on line A and $4 on line B. (a) Write the inequality that expresses the labor information. (b) Write the inequality that expresses the cost information.
Answers
Answer:
(a) The inequality for the number of items, x, produced by the labor, is given as follows;
250 ≤ x ≤ 600
(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000
Step-by-step explanation:
The total time available for production = 1000 hours per week
The time it takes to produce an item on line A = 1 hour
The time it takes to produce an item on line B = 4 hour
Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours
The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items
The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items
Therefore, the number of items, x, produced per week with the available labor is given as follows;
250 ≤ x ≤ 1250
Which is revised to 250 ≤ x ≤ 600 as shown in the following answer
(b) The cost of producing a single item on line A = $5
The cost of producing a single item on line B = $4
The total available amount for operating cost = $3,000
Therefore, given that we can have either one item each from lines A and B with a total possible item
When the minimum number of possible items is produced by line B, we have;
Cost = 250 × 4 = $1,000
When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;
Total cost = 250 × 4 + 1000 × 5 = 6,000
Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;
$3,000/$5 = 600 items = The maximum number of items that can be produced
The inequality for the cost, C, becomes;
$1,000 ≤ C ≤ $3,000
The time to produce the maximum 600 items on line A alone is given as follows;
1 hour/item × 600 items = 600 hours
The inequality for the number of items, x, produced by the labor, is therefore, given as follows;
250 ≤ x ≤ 600
(a) The inequality for the number of items, x, produced by the labor, is given as follows;
250 ≤ x ≤ 600
(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000
What is inequality?Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.
The total time available for production = 1000 hours per week
The time it takes to produce an item on line A = 1 hour
The time it takes to produce an item on line B = 4 hour
Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours
The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items
The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items
Therefore, the number of items, x, produced per week with the available labor is given as follows;
250 ≤ x ≤ 1250
Which is revised to 250 ≤ x ≤ 600 as shown in the following answer
(b) The cost of producing a single item on line A = $5
The cost of producing a single item on line B = $4
The total available amount for operating cost = $3,000
Therefore, given that we can have either one item each from lines A and B with a total possible item
When the minimum number of possible items is produced by line B, we have;
Cost = 250 × 4 = $1,000
When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;
Total cost = 250 × 4 + 1000 × 5 = 6,000
Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;
$3,000/$5 = 600 items = The maximum number of items that can be produced
The inequality for the cost, C, becomes;
$1,000 ≤ C ≤ $3,000
The time to produce the maximum 600 items on line A alone is given as follows;
1 hour/item × 600 items = 600 hours
The inequality for the number of items, x, produced by the labor, is therefore, given as follows;
250 ≤ x ≤ 600
Hence the inequality for the number of items, x, produced by the labor, is 250 ≤ x ≤ 600 and the inequality for the cost, C is $1,000 ≤ C ≤ $3,000
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A triangle has a base of 16 inches and a height of 1/8 inches. What is the area?
Answers
Area of triangle = 1/2 x base x height.
Area = 1/2 x 16 x 1/8
Area = 8 x 1/8
Area = 1 square inch
The area of the triangle calculated using the area formula is 1 in²
Given the Parameters :
Base of triangle = 16 inches Height of triangle = 1/8 inchesArea of a triangle can be obtained using the relation :
Area = 1/2 × base × heightSubstituting the Parameters into the equation :
Area of triangle = 1/2 × 16 × 1/8 = 1 in²
Therefore, the area of the triangle is 1 in²
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Review the steps in the derivation of the tangent sum identity. The steps are not in order.
A 2-column table with 4 rows. Column 1 has entries 1, 2, 3, 4. Column 2 has entries StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartStartFraction StartFraction sine (x) cosine (y) Over cosine (x) cosine (y) EndFraction + StartFraction cosine (x) sine (y) Over cosine (x) cosine (y) EndFraction OverOver StartFraction cosine (x) cosine (y) Over cosine (x) cosine (y) EndFraction minus StartFraction sine (x) sine (y) Over cosine (x) cosine (y) EndFraction EndEndFraction, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction, StartFraction sine (X) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction.
Which list shows the steps in the correct order?
I --> II --> IV --> III
I --> IV --> II --> III
III --> I --> II --> IV
III --> I --> IV --> II
Answers
Answer:
The answer is B: I IV II III
Step-by-step explanation:
Just did it
The sequence for the derivation of tangent sum identity is option I --> IV --> II --> III.
What is trigonometric identity?The trigonometric identities is the relationship between the different trigonometric ratios. These trigonometric identities are the basic formulae that are true for all the values of the reference angle.
For the given situation,
The derivation for the tangent sum identity is given in the table below.
The derivation follows the steps,
[tex]\frac{sin(x+y)}{cos(x+y)}[/tex]
we know that, [tex]sin(x+y) = sinx cosy + cosx siny[/tex] ,
[tex]cos(x+y)=cosxcoxy - sinxsiny[/tex] and
[tex]\frac{sinx}{cosx}=tanx[/tex]
⇒ [tex]\frac{sinxcosy + cosxsiny}{cosxcosy-sinxsiny}[/tex]
Divide each term by [tex]cosxcosy[/tex]
⇒ [tex]\frac{\frac{sinxcosy}{cosxcosy} +\frac{cosxsiny }{cosxcosy} }{\frac{cosxcosy}{cosxcosy} -\frac{sinxsiny}{cosxcosy} }[/tex]
⇒ [tex]\frac{tanx+tany}{1-tanxtany}[/tex]
Hence we can conclude that the derivation of tangent sum identity is option I --> IV --> II --> III.
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what is 25,000,000 x 25,0000 = what
Answers
Answer: 6.25^12
Step-by-step explanation:
8. To which subsets of the real numbers does the number 13 belong?
Answers
Answer:
irrational numbers
Step-by-step explanation:
8.
sqrt(13) is not a whole number, a natural number, an integer, or a rational number.
Answer: irrational numbers
PLease please please help quick
Answers
Answer:
B
Step-by-step explanation:
Same as last. multiple 8 into the entire equation.
Answer:
-80x+28y-56
4(-20x+7y-14)
Step-by-step explanation:
whats between 3.07 and 3.083
Answers
Answer: 3.765
Step-by-step explanation:
The x-intercept of the line given by 3y + 2x = -7 is:
A. 3 1/2
B. -3 1/2
C. -2 1/3
D. None of these
Answers
Answer:
put
Step-by-step explanation:
Write the following fraction as a decimal
299 792 458/ 1000000
what is it?
Answers
Answer:
0.00333564095
Step-by-step explanation:
1000000/299792458=Answer
What’s the slope of this chart?
Answers
You use the formula y=mx+b and plug in the y and x from the chart. I’m not 100% sure cuz I did this 3 years ago so sorry if it’s wrong!
11. What is the difference between a theorem and a postulate?
Answers
Answer:
A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.
Step-by-step explanation:
www.ck12.org
Answer:
A thorem is true and can be proven true vs a postulate is guessed true without any evidence.
Step-by-step explanation:
A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.
what are 3 points you can use to solve the equation:
-x-2y=8
Answers
Answer:
no idea
Step-by-step explanation:
1859 divided by 45 eeeee
Answers
Answer:
41.3111111111
Step-by-step explanation:
1859/45 = 41.3111111111
Answer:
41.31 with the 1 repeating.
Step-by-step explanation:
I missed my zoom lesson today and I don't understand the material we covered. I'm not sure how to answer this question. Thank you in advance for your help
Answers
Answer:
True
Step-by-step explanation:
Skew lines are two lines that do not intersect and are not parallel.
AB and CG are neither intersecting nor parallel. So, they are skew lines.
Hope it helps:)
Given the function g defined by the formula g(x) =x − 5/2x-5 find the following:
Answers
Tammy can type 130 words in 5 minutes. How many words can she type in 20 minutes?
Answers
Answer:
520 words
Step-by-step explanation:
Do 130 words divided by 5 minutes to get 26 words per minute.
Then you do 26 times 20 to get the answer of 520
hope this helps!!
Answer:
520 words.
Step-by-step explanation:
We can multiply the 5 minutes by 4 to find 20, so also multiply 130 by 4, which would result in 520.
The graph to the right represents the cost of a taxi where X is distance and y is cost in dollars what conclusion can you make?
A) the taxi costs $1
B) The taxi will only stop once
C)The taxi will only take you farther than 1 mile
D) The taxi costs $1 just to get into a taxi
Answers
Answer:
The taxi costs $1 just to get into a taxi
Step-by-step explanation:
The base cost the taxi charges for it to be hired is $1 which is the point on the graph where the line intercepts the y-axis. At that point, distance or miles travelled is 0.
Therefore, we can conclude that the taxi would charge a customer for just to get a taxi, and the total cost will be dependent on the additional charges paid in addition based on the number of miles the customer will be driven to their destination.
The $1 is just the charge fee paid by the customer in addition to the per-mile charge he would pay.
Help Me please I hate math:(
Answers
Answer:
What is the question?
Step-by-step explanation: .
Answer:
WHATS THE QUESTION
Step-by-step explanation:
if sales tax is 8%, what is the tax one a sale of $400.00
A. $3.20
B.$32.00
C.$320.00
D.$0.32
Answers
Answer:
b
Step-by-step explanation:
400*.08
32.00
Answer:
its B
Step-by-step explanation:
Jorge is making 6 large salads and 4 small salads how manny cherry tomatoes does he need
Answers
Answer:
Illogical
Step-by-step explanation:
Your question is completely illgocal unless you state the number of cheery tomatoes used in 1 or x amounts of large and small salads
Answer:
84
Step-by-step explanation:
We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes.
A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. How much does an ice cream cost with 4 ounces of toppings?
Answers
Answer:
5 dollars
Step-by-step explanation:
an ice cream is 3 dollars and 1 ounce of toppings is 50 cents 0.5 dollars times 4 equals 2 dollars. so 3+2 equals 5
Answer:
$5.00 I believe.
Step-by-step explanation:
Solid Mixtures Problems
1. A grocer wishes to mix coffee worth $1.10 per pound with coffee worth $.80 per pound to
make 20 pounds of a blend to sell at $.89 per pound. How many pounds of each must he
mix?
Answers
:ititiff
Step-by-step explanation: