Answer: x=36°
Step-by-step explanation:
The four interior angles of a quadrilateral always equal 360°, so:
(x+16)+(4x-8)+(4x-8)+x=360
Combine like terms:
360=10x+0
360=10x
36=x
Answer:
In image below
Step-by-step explanation:
To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
decide to have 5 people each working 6 hours a day. Assume that each person works at the same
rate.
a) How many days will it take the 5 people to complete the task?
b)Comment on how the assumption affects your answer to part (a).
Answer:
Let's suppose that each person works at an hourly rate R.
Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:
4*R*(15*8 hours) = 1 task.
Whit this we can find the value of R.
R = 1 task/(4*15*8 h) = (1/480) task/hour.
a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:
5*( (1/480) task/hour)*(D*6 hours) = 1 task.
We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:
D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16
D = 16
Then the 5 workers working 6 hours per day, need 16 days to complete the job.
b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.
Can someone please teach me long division, and please provide examples.
i haven't done long division in so long and i need to sharpen up.
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oh yea 50 points each.
Answer:
Step-by-step explanation:
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
okay so look at the image down below
Help will make branliest
Answer:
I like that you watch wwe for one. but lets get started
the answer itself is m< 4=87
Step-by-step explanation:
Answer:
The answer is 87°
Step-by-step explanation:
A quadrilateral has an interior angle sum of 360°.
Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:
89° + 80° + 104° + x° = 360°.
All you have to do is add all the measures up and subtract from 360°.
89° + 80° + 104° + x° = 360° →
273° + x° = 360° →
x° = 87°.
Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.
A quadrilateral is a polygon with four sides so it's interior angle sum must be
(4 – 2) × 180° = 2 × 180° = 360°.
graph y= 2/3x-4
How do I graph this?
Answer:
Read below !!
Step-by-step explanation:
Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!
I hope this helps !!
17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.
pleaaeee help
Answer:
25m2
Step-by-step explanation:
b = 10
10 divided by 4 = 2.5
h = 2.5
2.5 times 10 = 25m2
Which answers would be possible first steps?
Answer:
e i think or find out what x =
Choose two pairs of alternate interror angles.
Answer: angle 5 and angle 10
angle 8 and angle 11
hope this helps!
A glass vase factory recently produced 4 vases that were chipped and 16
vases that were not. Considering this data, how many of the next 10 vases
would you expect to be chipped?
Answer:
2
Step-by-step explanation:
4 chipped + 16 not chipped = 20 total
4 / 20 = 1/5 or 20% chance that vase will be chipped
Set up a proportion or find 20% of 10.
[tex]\frac{1}{5} = \frac{x}{10}[/tex] x = 2 (ten is on denominator because it's the total amount of vases)
or 10 * 0.2 = 2
The ratio of teachers to students at Priory School is 2:27
What is school's total population if there are 42 staff
Answer:
609
Step-by-step explanation:
ratio of teachers to students at Priory School =2:27
Let X= total number of both the students and the teacher
Ratio of teacher=( 2/29)X
Ratio of student is (27/29 )X
But total number of teacher = 42
2/29 ×X =42
2X= 42×29
2X=1218
X= 609
Hence, school's total population is 609
Please help me. You will be marked brainliest.
Answer:
What do you need help with?
Step-by-step explanation:
Please help me? I’ll give brainliest
Answer:
left 4 up one because the coordinates are -4 , 1
Answer:
the first one (-4, 1)
Step-by-step explanation:
Find the Y intercept of the line y-3=2(x + 1)
Answer:
y=2x+1
Step-by-step explanation:
40% of the people at Tim's Halloween party dressed up as superheroes. If 14 people dressed as superheroes, how many people were at Tim's Halloween party?
A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour. At 3 pm, the ship adjusts its course on a bearing of N 20º E. How far is the ship from the port at 4pm?
- Question 11
Mrs. Pitoya has 30 apples and is buying more apples in crates containing 20 apples each. She needs 130 apples for a harvest celebration at her school,
Which equation and solution correctly represent x, the number of crates of apples Mrs. Pitoya needs to buy?
Answer:
Mrs pitoya has to buy 9 crates of apples
Answer: She only needs to buy 5 more crates of apples.
30 + 20(x) = 130
30-30+20(x)=130-30
20x = 100
x = 5
Step-by-step explanation:
Subtract. Express your answer in lowest terms.
8 1/2 - 2 1/6
Answer:
[tex]6\frac{1}{3} or \frac{19}{3}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
=8+1/2−2−1/6
Solving the whole number parts
8−2=6
Solving the fraction parts
1/2−1/6=?
Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.
LCD = 6
3/6−1/6=2/6
Reducing the fraction part, 2/6,
2/6=1/3
Combining the whole and fraction parts
6+1/3=6 1/3
Emily sold lemonade. Each serving of lemonade was 8 fluid ounces. Which measurement is equivalent to each serving of lemonade Emily sold?
Answer:
Catch Me Knuckles!
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B
Answer:
I believe the answer is C. Use Desmos and plug in the equation y=-x-2
Step-by-step explanation:
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
about 7.8
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=8^2
2+b^2=64
B^2=62
B= about 7.8
Identify the figure below. Select all names that apply.
Image shows a four-sided figure with opposite sides parallel and equal in length.
A.
quadrilateral
B.
parallelogram
C.
rhombus
D.
square
E.
trapezoid
Answer:
b and d
Step-by-step explanation:
this square-based oblique pyramid has a volume of 125 what is the height of the pyramid?
heyyy wanna help mee
Answer: Only j = 2
============================================
Explanation:
Let's solve for j
[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]
In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.
The last step shows that j = 2.4 or j < 2.4
So j is 2.4 or smaller.
Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.
---------------------------
If j = 2, then,
[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]
which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.
Something like j = 8 does not work because
[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]
which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.
Of the list given, j = 2 is the only solution.
______________________________
1.) Solve using j = 12:Plug in 12: [tex]\frac{96}{12}[/tex] ≥ [tex]40[/tex]Divide 96 by 12: [tex]=8[/tex] Compare: [tex]8[/tex] ≥ [tex]40[/tex]
So this is False.
2.) Solve using j = 8:Plug in 8: [tex]\frac{96}{8}[/tex] ≥ [tex]40[/tex]Divide 96 by 8: [tex]=12[/tex] Compare: [tex]12[/tex] ≥ [tex]40[/tex]
So this is False.
3.) Solve using j = 2:Plug in 2: [tex]\frac{96}{2}[/tex] ≥ [tex]40[/tex] Divide 96 by 2: [tex]=48[/tex]Compare: [tex]48[/tex] ≥ [tex]40[/tex]So this is True.
4.) Solve using j = 3:Plug in 3: [tex]\frac{96}{3}[/tex] ≥ [tex]40[/tex]Divide 96 by 3: [tex]=32[/tex] Compare: [tex]32[/tex] ≥ [tex]40[/tex]So this is False.
______________________________
solve the equation 4x^2-27x-5=-10x to the nearest tenth
Answer:10x^2-27x+5. 10x2−27x+5 10 x 2 - 27 x + 5. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite ...
Step-by-step explanation:
The solution of the equation:
x = -0.28 to the nearest tenth.
x = 4.53 to the nearest tenth.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
A quadratic equation,
4x²-27x-5 = -10x
Simplifying,
4x²-27x-5 + 10x = 0
4x²-17x-5 = 0
So,
x = {-(-17) ± √(289 + 80)}/8
x = (17 ± √369) / 8
When we take - sign,
x = - 0.276
x = -0.28 to the nearest tenth.
When we take + sign,
x = 4.526
x = 4.53 to the nearest tenth.
Therefore, the values are x = -0.28 and x = 4.53.
To learn more about the quadratic equation;
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Please help me with this! I will give 25 points and Brainliest if it is correct!
Which ratio is equivalent to 4:5?
A. 10/15
B. 4/10
C. 16/20
D. 15/ 8
Answer:16/20
Step-by-step explanation:
if you divide the two numbers by 4 you have:
16/4=4
20/4=5
(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)
So the two numbers are same
Find the GCF 8x^3-12x^2+4x
Answer:
4x
Step-by-step explanation:
On a highway, a random sample is taken of the speed, in mph, of 50 cars. A mean speed of 61.8 mph is calculated with a margin of error of +2.3 for a 95% confidence interval What is the interval estimate of the population mean?
A) 58.7 <h<64.9
B)59.5<h<61.8
C)59.5<h<64.1
D)61.8<h<64.1
The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The interval estimate of the population mean can be found out using the following formula:
[tex]\overline X\pm MOE[/tex]
Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.
On a highway, a random sample is taken of the speed, in mph, of 50 cars.
A mean speed is 61.8 mphThe margin of error is +2.3 The confidence interval is 95%Put the values in the above formula as,
[tex]61.8\pm 2.3\\59.5,641[/tex]
Thus, the interval estimate of the population mean
[tex]59.5 < h < 61.8[/tex]
Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
Learn more about the margin of error here;
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Plz help I’m dumd and I can’t answer it
Answer:
11
Step-by-step explanation:
25% is 0.25 or 1/4
44 x 0.25 =11
How long will it take to fill the tank with 40 gallons of water?
Answer:
15-25
Step-by-step explanation:
Write an equation of the line with the given slope and y-intercept.
slope: −3
y-intercept: 5
y=
Answer:
Y=-3X+5
Step-by-step explanation:
What are the like terms in the following algebraic expression? 5 - 3y + 2x - 5y + x - 2 + 3x^2
Answer:
3y+2x+5y+3x
Step-by-step explanation:
sepreate the varible numbers from the reguler