Answer:
20cm
Step-by-step explanation:
for the triangle:
Perimeter = 30cm
a + a + a = 30
3a = 30
hence a = 10cm
For the rectangle:
Perimeter = 30cm
a + a + b + b = 30
but a = 10cm
10 + 10 + b + b = 30
20 + 2b = 30
2b = 10
hence b = 5cm
Perimeter of square = b + b + b + b
= 5 + 5 + 5 + 5 = 20cm
A group of 9 workers was assigned to paint the walls in a house, which could be completed in 48 hours. However, after working 8 hours, some of the workers left the group and the remaining workers could complete the job in 72 hours. How many workers left the team?
Plz write equation:0
Answer: 4 workers
==============================================
Explanation:
We have 9 workers painting walls in a house. Let's say the total square feet needed to be painted is 9000 square feet. I picked some arbitrary large multiple of 9, so that it leads to 9000/9 = 1000 square feet per worker.
In other words, each worker paints 1000 square feet.
They can do the job in 48 hours, which means their rate is 1000/48 = 125/6 square feet per hour approximately.
After 8 hours, each worker paints 8*(125/6) = 500/3 square feet. So all 9 workers painted 9*(500/3) = 1500 square feet
Put another way: they got 8/48 = 1/6 of the job done after 8 hours, so (1/6)*9000 = 1500 sq feet of wall has been painted so far. This leaves 9000-1500 = 7500 sq ft unpainted.
------------------------------------------------
Let x be the number of workers that leave.
There are 9-x people still on the job.
The 7500 sq ft of left over wall is divided among the 9-x people. Each worker gets 7500/(9-x) sq feet of wall to paint.
Earlier we found each worker's rate was 125/6 sq ft per hour. If they complete the remaining job in 72 hours, then,
(rate)*(time) = (amount of job done)
(125/6)*(72) = 7500/(9-x)
1500 = 7500/(9-x)
1500(9-x) = 7500
9-x = 7500/1500
9-x = 5
-x = 5-9
-x = -4
x = 4
4 workers went home.
If 4 workers went home, then 9-4 = 5 workers remain
They each have 7500/5 = 1500 sq ft of wall to paint, which helps confirm the answer.
The amounts below show the change (measured in feet) in water level over four months. What is the average monthly change in water level?
-1/8, -9/8, -12/8, 2/8
Answer:-5/8
Step-by-step explanation:
During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run. If the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing? 1 9/16
Answer:
[tex]Actual\ Length : Scale\ Length = 8 : 1[/tex]
Step-by-step explanation:
Given
[tex]Actual\ Length = 12\frac{1}{2}ft[/tex]
[tex]Scale\ Length = 1\frac{9}{16}ft[/tex] --- See attachment
Required
Determine the scale used
The scale of the drawing can be represented using the following ratio
[tex]Scale = Actual\ Length : Scale\ Length[/tex]
Substitute values for actual and scale lengths
[tex]Scale = 12\frac{1}{2}: 1\frac{9}{16}[/tex]
Convert to improper numbers
[tex]Scale = \frac{25}{2}: \frac{25}{16}[/tex]
Convert to division:
[tex]Scale = \frac{25}{2}/\frac{25}{16}[/tex]
[tex]Scale = \frac{25}{2}*\frac{16}{25}[/tex]
[tex]Scale = \frac{1}{2}*\frac{16}{1}[/tex]
[tex]Scale = \frac{16}{2}[/tex]
[tex]Scale = \frac{8}{1}[/tex]
Convert to ratio
[tex]Scale = 8 : 1[/tex]
Hence, the scale of the drawing is:
[tex]Actual\ Length : Scale\ Length = 8 : 1[/tex]
Which of the following is a linear function?
Answer:
I believe the first one but I'm not 100% sure.
16. Solve the equation. ( point)
R/4 -1=4
O 1.3
O 0.8
O 12
O 20
Answer:
D. 20
Step-by-step explanation:
Since you are subtracting, you can add 4 and 1. The sum is 5. 20/4 is equal to 5 so R = 20.
PLEASE HELP SOLVE THIS!!!!!!!!!!!
9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
The annual enrollment of a university for the last nine years is recorded in the table. What quadratic function best models this set of data?
Answer:
y = 0.14 x^2 - 1.43 x + 10.75
Step-by-step explanation
got it correct on the test
The quadratic function best models this set of data is y = 10.75x² - 1.43x + 0.14.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have data shown in the table:
It is required to find the quadratic function best models this set of data.
Let the quadratic function is:
y = ax² + bx + c
We can find the values of a, b, and c from the table, which are constants.
From the table:
a = 10.75
b = -1.43
c = 0.14
The quadratic function is:
y = 10.75x² - 1.43x + 0.14
Thus, the quadratic function best models this set of data is y = 10.75x² - 1.43x + 0.14.
Learn more about the line of best fit here:
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how many times can 15 fit into 25
Answer:
1 time
Step-by-step explanation:
15x2=30
and 30 is more than 25, therefore, 15 only fits in 25 one time
Answer:
only 1 time
you can divided the answer but it will just keep repeating
1.6666666666667
wht is negative 100 plus 50 plus negative 20
Answer:
-70
Step-by-step explanation:
just use a calculator my g
Answer-70
Step-by-step explanation:
-100 plus 50 = -50 then you add -20 making it -70
Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true?
A. m∠1 = m∠2
B. m∠4 = m∠6
C. m∠1 + m∠5 = 90°
D. m∠3 + m∠5 = 180°
E. m∠7 = m∠8
Answer:
D is true
Step-by-step explanation:
A, B, C, and E are supplementary pairs so they cant equel each other.
Answer:
the answer would be d! got it right on plato.
Step-by-step explanation:
Solve by Graphing. y = 4x y = x + 3
Answer: 99% sure its (1,4)
Step-by-step explanation:
Candice is playing an online trivia game. She has 75 points and earns 3 points for each correct answer. She will advance to the next round if her score is over 90 points which statement best describes how antibiotics are used?a75x + 3 > 90 b3x + 90 90 d3x + 75 < 90
Using a linear function, the statement that best describes when she advances to the next phase is: 75 + 3x > 90.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering that she already has 75 points, and earns 3 points for each correct answer, her score is modeled by the following function:
T = 75 + 3x.
She advances to the next phase if she scores over 90 points, hence the statement is:
T > 90
75 + 3x > 90.
More can be learned about linear functions at https://brainly.com/question/24808124
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Answer:
c.3x+75>90
Step-by-step explanation:
I need the real answer for this one please!?
Answer:
x=7
Step-by-step explanation:
inverse problems
48+1=49
the root of 49 is 7
Answer:
x = ± 7
Step-by-step explanation:
Given
x² - 48 = 1 ( add 48 to both sides )
x² = 49 ( take the square root of both sides )
x = ± [tex]\sqrt{49}[/tex] = ± 7
Lincoln earned $45 for raking his neighbor's leaves 5 times. If Lincoln charged the same rate and earned $81, how many
times did he rake his neighbor's leaves? Use a unit rate to find the unknown value.
SI
15
5
times
Answer:
For the gavin's lawn mowing problem that got deleted, the answer is 9.
Step-by-step explanation:
If Gavin earns $42 for mowing his neighbor's lawn 7 times, then he earns $6 every time he mows his neighbor's lawn. If he earns $54 at the same rate, he would have to mow his neighbor's lawn 54/6 = 9 times
Find the x−and y−intercepts. −2x − 5y = 20
Answer:
X=10, Y=4
Step-by-step explanation:
Along the y-axis, x = 0.
2(0) + 5y = 20
5y = 20
y = 4
Your y-intercept is at (0,4).
Along the x-axis, y = 0
2x + 5(0) = 20
2x = 20
x = 10
Your x-intercept is at (10,0).
Answer:
-2x-5y=20 (if x= 2 )
[tex] - 2 \times 5 - 5 \times y = 20 [/tex]
[tex] - 20 - 5 \times y = 20[/tex]
[tex] - 5 \times y = 40[/tex]
[tex]y = 8[/tex]
A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in meters, should the carpenter cut each piece?
Answer:
2 1/3 meters
Step-by-step explanation:
You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.
Two years ago, the water level in a local reservoir fell 834 feet. Last year, the water level rose 435 feet. By how many feet did the water level of the reservoir change overall during these two years?
Answer:
- 4 3/20 The other person is correct
Step-by-step explanation:
The water is 399 feet fell.
What is unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Two years ago, the water level in a local reservoir fell 834 feet.
Last year, the water level rose 435 feet.
So, the water level of the reservoir change overall during these two years
= -834 + 435
= -399
Hence, the water is 399 feet fell.
Learn more about Unitary Method here:
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0.40 X plus 20 < 200 which best describes a number of bars that the band can order 0.40 X plus 20 < 200 which best describes a number of borrowers that can be ordered
Answer:
So x can have values from zero to 449
Step-by-step explanation:
0.40 X plus 20 < 200
0.4x +20 < 200
Putting the values of x for 0,1,2,
0.4x +20 < 200
0.4(0) +20 < 200
20< 200
0.4x +20 < 200
0.4(1) +20 < 200
20.4 <200
0.4(2) +20 < 200
20.8 <200
The maximum value which x can have is less than 450 because 450 would give a number equal to 200 and we have the inequality of a number being less than 200
0.4x +20 < 200
0.4(450) +20 < 200
180+20< 200
200 <20 which is wrong.
So x can have values from zero to 449
0.4x +20 < 200
0.4(449) +20 < 200
179.6+20< 200
199.6 <200
X can have the values fom 0 to 449.
What is 3 divided by 48
Answer:
uhhh 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
PLEASE PLEASE HELP ME!
Answer:
Step-by-step explanation:
a $380 television cost $411.35 after tax is added. What is the percentage of the tax
Answer:
The tax percentage is 8.25 percent
Step-by-step explanation: After multiplying multiple tax percentages I found that 8.25 was the right tax percentage.
Hope this helps.
what is 2.5x10^3 please someone help me
Answer:
[tex]2500[/tex]
Step-by-step explanation:
[tex]2.5*10^3\ can\ simply\ be\ expanded\ as:\\2.5*10*10*10\\=25*10*10\\=250*10\\=2500[/tex]
Answer:
2500
Step-by-step explanation:
he results of a survey are shown below. In the survey, 12 students said that they would like to learn French. How many of the students surveyed would like to learn Spanish?
A drawing shows a result of a survey on a piece of paper. It shows the percent of students who like to learn different languages. It shows the percentages as Spanish, 36; French; 24; German, 18; other, 22.
Answer:
18 students
Step-by-step explanation:
Now think of it in this form. 12 students wanna learn french which is 24% and in this problem we have to find 24% of "x" is 12. The answer is obviously 50. Now go to German and you can see that 18% want to learn German. All you have to do is find 50% of 18 to get your answer which is 9. Now follow that same pattern with the Spanish one. If 36% want to learn Spanish, just find 50% of it or half of it and that could be done by doing 36 divided by 2 to get 18 as your answer. Another way to do it is my turning 50% into 0.5 and multiplying it by 36 to get your answer. As a result, your answer is 18 students want to learn Spanish.
which transformation proves congruence between shap a and shape b
Answer:
A congruence transformation is a transformation that doesn't change the size or shape of an object. There are three main types of congruence transformations, and those are reflections (flips), rotations (turns), and translations (slides).
Step-by-step explanation:
i hope that helps
Determine the domain on which the following function is decreasing.
Using function concepts, it is found that the domain in which the function is decreasing is: [tex](-\infty,2][/tex]
-------------------------------
The domain of a function is composed by it's input values, in a graph the x-values.The function is decreasing when y decreases as x increases.-------------------------------
The arrows in the graph indicates that the function goes from negative infinity to positive infinity.The graph, that is, y is falling for x between negative infinity and 2.Thus, the domain for which the function is decreasing is given by: [tex](-\infty,2][/tex]A similar problem is given at https://brainly.com/question/14979017
Enter an expression which would represent the simplified form of 4x + 8 subtracted from 2x - 10?
Answer:
2x - 2
Step-by-step explanation:
Move the numbers to be near their mates
4x - 2x + 8 - 10
Then solve as much as you can
4x - 2 = 2x, 8 - 10 = -2
2x - 2
Anyone help me ASAP, its due in an hour, plz show all the working, THANK YOU SO MUCH
Answer:
Step-by-step explanation:
First, start out with the parent function:
[tex]y = b^{x}[/tex]
Now, we look at the transformations, and make the equation.
We see that the graph shifted down 4 units, since the graph's horizontal asymptote is at y = -4.
[tex]y = b^{x} - 4[/tex]
We see point (0, -3) to point (1, -1). The value of b would be 3. The reason is that when you plug 0 in, you get 1, then 1 - 4 equals 3. (0, -3),
Then, when you plug in 1, you get 3, then 3 - 4 equals -1. This matches up with the graph.
This is the answer:
[tex]y = 3^{x}-4[/tex]
#teamtrees #WAP (Water And Plant)
combine these radicals
[tex] - 12 \sqrt{12} - 2 \sqrt{3} [/tex]
Can you help me out with this question 5 pls
following describes the translation of a point from (0,-3) to (3,-8)
Answer:
D
Step-by-step explanation:
Answer:
D) 3 units right and 5 units down
Step-by-step explanation:
following describes the translation of a point from (0,-3) to (3,-8)
ok so from (0,-3) to (3,-8)
(x,y)
x= right or left movement
y= up or down movement
3 units right and 5 units down