Answer:
left handed = 7 ; right handed = 12
Step-by-step explanation:
r = right handed
l = left handed
r + l = 19
r = l + 5
If we use substitution method we have:
l +5 + l = 19
2 l = 14
l = 7
r = 7 + 5 = 12
Answers:
The system of equations is
[tex]\begin{cases}y = x-5\\x+y = 19\end{cases}[/tex]
where x and y is the number of right-handed and left-handed people respectively.
The system solves to (x,y) = (12,7)
Interpretation:
There are 12 right-handed people and 7 left-handed people in the class.
=========================================================
Explanation:
x = number of right-handed people
y = number of left-handed people
x and y are positive whole numbers.
There are 5 more right-handed people compared to left-handed people, so we can say x = y+5 which is the same as y = x-5. So you could go for either equation. Let's go for the one where y is isolated.
The second equation to form is x+y = 19 because there are 19 people in the class, and you can only be one or the other (left-handed or right-handed but not both). I'm not considering the possibility anyone is ambidextrous though of course that may happen in a realistic setting.
The two equations then form the system
[tex]\begin{cases}y = x-5\\x+y = 19\end{cases}[/tex]
There are a number of ways we can solve this system. Substitution is possibly the quickest way.
x+y = 19
x+(x-5) = 19 ... replace y with x-5; due to the first equation
2x-5 = 19
2x = 19+5
2x = 24
x = 24/2
x = 12 .... this is the number of right-handed people
y = x-5
y = 12-5
y = 7 .... this is the number of left-handed people
A line and its translated image are parallel because the distance between corresponding points of a figure and its translated image is the same at every point. How could you use that information to show that parallel lines have the same slope?
Answer:
Top right
Step-by-step explanation:
I did it before
Answer:
TOP RIGHT
Step-by-step explanation:
:)
Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of , and it can hold of liquid. If the second container has a height of , how much liquid can it hold?
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the concept of similar shapes to solve this problem.
Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.
Now,
The first container has a height of h1 and can hold v1 units of liquid.
Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.
So,
h2/h1 = (volume of container 2) / (volume of container 1)
Solving for the volume of container 2.
(volume of container 2) = (h2/h1) x (volume of container 1)
Substituting the given values, we get:
(volume of container 2) = (h2/3) x (1000)
where we have converted 1 liter to 1000 cubic centimeters.
Simplifying this expression.
(volume of container 2) = (1000/3) x h2
Therefore,
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.
The ladder will reach a height of 20.6 feet
The given parameters are:
Length = 45-footHeight = 27 feetStart by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem
[tex]45^2 = 27^2 +d^2[/tex]
Collect like terms
[tex]d^2= 45^2 -27^2[/tex]
[tex]d^2= 1296[/tex]
Take square roots of both sides
[tex]d= 36[/tex]
When the ladder is moved 4 feet farther, the new distance becomes
[tex]d= 36+4[/tex]
[tex]d= 40[/tex]
The new height (h) of the ladder is then calculated using the following Pythagoras theorem
[tex]45^2=40^2 + h^2[/tex]
Collect like terms
[tex]h^2 = 45^2-40^2[/tex]
[tex]h^2 = 425[/tex]
Take the square roots of both sides
[tex]h = 20.6[/tex]
Hence, the ladder will reach a height of 20.6 feet
Read more about Pythagoras theorem at:
https://brainly.com/question/654982
Use the unit circle to find sin 90 degrees a. 1 c. -1 b. 0 d. Undefined Please select the best answer from the choices provided A B C
Answer:
sin of 90 is 1
Step-by-step explanation:
sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)
If using the method of completing the square to solve the quadratic equation
x2 + 7x + 10 = 0, which number would have to be added to "complete the
square"?
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
Bab needs help please!
Answer:
282.6 in³
Step-by-step explanation:
Volume = area circle * height
Area circle = πr²
Area circle = 3.14 * 9 = 28.26
28.26 * 10 = 282.6 in³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
Answer:
3(x-3)/4-1/2=2/3
The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...
Step-by-step explanation:
4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12
first answer gets most brainley
Answer:
What are we supposed to do on this
Step-by-step explanation:
Answer: the dilated point will be 2 units at the right of P, and 3 units above P.
Step-by-step explanation:
what do you call tha tool that can be used to collect data?__________
Answer:
pendrive, memory, chip
A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?
Can someone please help me I don’t understand this at all
Answer:
140.3 ft³
Step-by-step explanation:
Volume of cylinder = πr²h
= π x 1.5² x 4
= 28.3 ft³
P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft
Volume of cuboid = lwh
= 7 x 4 x 4
= 112 ft³
Total volume = 112 + 28.3 = 140.3
Hope this helps!
Please help. Explain as well
Answer:
Angle 1 is 105°
Angle 2 is 75°
Step-by-step explanation:
Angle 2 is the same angle as angle 6 which is 75°
Angle 1 can be found by subtracting 75° (angle 2) from 180° which is the angle of a straight line. Which equals 105°.
Hope this helps! :)
En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?
Answer:
36
Step-by-step explanation:
6 x 6
Work out the size of angle x
Pls help thx !
Answer:
83
Step-by-step explanation:
not sure tho____________
Answer:
83 degrees
Step-by-step explanation:
The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so
43 + x = 126
x = 83 degrees
Second way
exterior angle + inner angle = 180
126 + inner angle = 180
inner angle = 54
the sum of the inner angles of a triangle is 180 degrees
54 + 43 + x = 180
97 + x = 180
x = 83 degrees
In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.
Answer:
29 feets 3 inches
Step-by-step explanation:
We need to obtain the actual height of oak tree :
Converting measurement to inches :.
1 Feet = 12 inches
Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in
Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in
Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in
Let actual tree height = TH
Using the relation :
SA / SS = TH / TS
70 / 90 = TH / 891
Cross multiply :
90 * TH = 891 * 70
TH = (891 * 70) / 90
TH = 693 inches
Height of house = 28ft 6 in = (28*12 + 6) = 342 in
Height difference :
(693 - 342) in = 351 inches
351 in / 12 = 29 feets 3 inches
PLS HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer: The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
The third term in a sequence is 25. The fifth term is 225. What are the possible values of the 4th term of the sequence if it is arithmetic? If it is geometric?
Answer:
if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)
where n is the number of term.
the 4th term is 125
if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)
where n is the number of term
the 4th term is 75
the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]
Answer:
option b) -2/5
Step-by-step explanation:
Using the rule :
[tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]
[tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]
[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]
Answer:
[tex]\sqrt[3]{-\frac{8}{125} }[/tex]
[tex]-\sqrt[3]{2^3} /\sqrt[3]{5^3}[/tex][tex]-2/\sqrt[3]{5^3}[/tex][tex]-\frac{2}{5}[/tex]So, your answer is B) - 2/5
-----------------------------
hope it helps...
have a great day!!
how do i solve this x^2 −12x+36=0
Step-by-step explanation:
x^2-6x-6x+36=0
x(x-6)-6(x-6)=0
(x-6)(x-6)=0
x=6
A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway
Answer:
The width of the pathway is 5.2 feet
Step-by-step explanation:
Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.
Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A
= L( W + t)
Given that the combined area of the garden and the border 311 square feet while the garden is 14 feet by 17 feet
311 = 14 (17 + t)
311 = 238 + 14t
collect like terms
14t = 311 - 238
14t = 73
t = 73/14
= 5.2 feet
what is what is 2000 * 3000
Answer:
600,000
Step-by-step explanation:
Answer:
6,000,000
Step-by-step explanation:
Simply put: Multiply 2 • 3
Then add the zeros, there are 6 zeros total, so just add them to the 6. boom! 6,000,000. Or just use a calculator ;)
Hope this helps!
What does point B represent on the graph? A) John earns $14.00 each hour. B) John earns $14.00 for two hours of work. C) John earns $7.00 for two hours of work D) John earns $7.00 for four hours of work
Answer:
The answer is B) John earns $14.00 for two hours of work.
Please someone help quickly!!!
Answer:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Step-by-step explanation:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Can you please help me with this?
a circle has a diameter of 4.5 inches what is the circumference
Answer:
c = 4.5π inches exact answer
c = 14.13 inches decimal approximation
Step-by-step explanation:
c = πd
c = 4.5π exact answer
using 3.14 for π
c = 3.14 * 4.5
c = 14.13 decimal approximation
Assignment is due soon!
What is the measure of ACB in O below?
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
Alexis and Mariana are hiking. Alexis climbs to the
top of a ridge 417 feet above sea level. Mariana goes to
the bottom of a valley, 30 feet below sea level. What is
the vertical distance between Alexis and Mariana?
Answer:
447 ft
Step-by-step explanation:
Add 417 and 30 together. That will give you the total direct distance between the two. 417+30=447
On a coordinate plane, a line goes through points (negative 2, 1) and (0, negative 3). Y = negative StartFraction 2 Over 9 EndFraction x + 2.
Two separate linear functions are expressed by the graph and by the equation. Select all that apply.
The slope is negative for both functions.
The equation has a steeper slope than the line in the graph.
The slope of the line in the graph is -2.
The graph and the equation express an equivalent function
Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
Answer:
Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
got it right on the quiz!!!
Which equation is quadratic in form?
a.6(x + 2)2 + 8x + 2 + 1 = 0
b.6x4 + 7x2 – 3 = 0
c.5x6 + x4 + 12 = 0
d.x9 + x3 – 10 = 0
Answer:
d. x9 + x3 – 10 = 0