Answer:
Multiply the first equation by 2
2(2x+y=5) to get 4x + 2y = 10
add the second equation 3x-2y=4
4x + 3x + 2y + -2y = 10 + 4
7x = 14
x = 2
...
Multiply the first equation by 3 and the second equation by -2 then add
3(2x+y=5) to get 6x + 3y = 15
-2(3x-2y=4) to get -6x + 4y = -8
add them
6x + -6x + 3y + 4y = 15 + -8
7y = 7
y = 1
...
x = 2 , y = 1
(2, 1) is the solution
...
check
2(2) + 1 = 5
4 + 1 = 5
5 = 5
Correct
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Can someone explain the answer?
A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
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Please help me! Anything is appreciated!
Answer:
it wont let me download the pdf :/
Please answer this I have a test
Answer:
Step-by-step explanation:
1)scale is 1 inch=9 feet
4 inches*9= 36 feet
10 inches*9=90feet
it is 36 feet by 90 feet
2)scale is 1 inch=5 feet
4 inches*5=20 feet
it is 20 feet
3)scale is 1:12
14 inches*12=168
it is 168
If you can answer BOTH CORRECTLY you'll get brainliest
Answer:
Sorry the pictures re not clear. Could u zoom in? :)
MP Model with Mathematics There was a big snowstorm overnight that dumped 12 inches of snow on Math Town. Luckily, it got a lot warmer, and 0.5 inch is melting each hour. The snow is now less than 5 inches deep. Write an inequality to determine how many hours have passed since the snow started melting.
Answer:
10 hours
Step-by-step explanation:
do 0.5 and add it until you get to 5. the number of times i added it was the answer
Chanasia buys a plastic bucket. The bucket weighs 460 g. The label on the bucket says made with 20% recycled plastic. How many grams of recycled plastic are used to make Chanasia’s bucket?
Answer:
92
Step-by-step explanation:
20% of 460 is 92 so it would be 92
5-7. These problems refer to rolling a number cube, then spinning a spinner with the letters A-H on it. Find each probability. Show all work.
5. P(rolling a 2, spinning an A) _________
6. P(rolling an even number, spinning a vowel) _________
7. P(rolling a number less than 3, spinning a consonant)
no
Answer:
5) P(2 AND A) = 1/6 x 1/8 = 1/48
6) P(even AND vowel) = 1/2 x 2/8 = 1/8
7) P(LT 3 AND not vowel) = 2/6 x 6/8 = 1/4
Step-by-step explanation:
1. P( 2, spinning an A) = 1/48
2. P( even number, spinning a vowel) = 1/8
3. P( number less than 3, spinning a consonant) = 1/4
What is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Given:
Combining the spinning of an A-H spinner with the rolling of a number cube
1. P(rolling a 2, spinning an A)
= 1/6 x 1/8
= 1/48
2. P(rolling an even number, spinning a vowel)
= 1/2 x 2/8
= 1/8
3. P(rolling a number less than 3, spinning a consonant)
= 2/6 x 6/8
= 1/4
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What is 1,872,521 rounded to the nearest thousand?
Answer:
1,873,000
Step-by-step explanation:
Answer:Rounded to the nearest thousand is the 4th number. Since the 3 numbers past the 2 is over 500, the rounded number would be 1,873,000.
Step-by-step explanation:Have a great day
Help please 10 points
Answer:
200
Step-by-step explanation:
basically, all you have to do is plug in 30 for n. You would get -3 + 7(30-1), and then you would get -3 + 7 x 29, and then you would get -3 + 203, and the final answer would be 200
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Answer:
Number of dolphins in zoo * number of fish per dolphin.
Step-by-step explanation:
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Given that:
Number of dolphins = 5
Fish in bucket is distributed equally ; hence, Number of fish per dolphin = 4
To obtain the initial number of fish in bucket before hansen began to feed the fishes :
Number of fish in bucket before hansen feeds then :
Number of dolphins in zoo * number of fish per dolphin.
5 * 4 = 20
What are the factors 60 that add up to 17? *
One angle of an isosceles triangle measures 50°. Which other angles could be in that isosceles triangle? Choose all that apply
Answer:
Step-by-step explanation:
HELP DUE IN 10 MINS! Use the Pythagorean Theorem to solve for x.
A. 50
B. 5sqrt(2)
C. 2sqrt(293)
D. 2sqrt(5)
Answer:
B. 5sqrt(2)Step-by-step explanation:
x² = 4² + (√34)²x² = 16 + 34x² = 50x = √50x = 5√2[tex]\huge\large \fbox \green{Answer :}[/tex]
B. 5sqrt(2)
[tex]\huge\Large \fbox \green{Explanation:}[/tex]
We have
first side of triangle = √34second side of triangle = 4We need to find third side of triangle
let , the third side of triangle is x( x)² = (√34 )² + (4)² ....( by Pythagoras Theorem)
x ² = 34 + 16
x ² = 50
x = √50
x = 5 √2
Hence, the third side is 5√2
How many degrees is angle x?
Answer
127
Step-by-step explanation:
First add 42 and 85. Then do 180-(42+85) to get w. Then do 180-w to get x as a line always equals 180
Select fractions are equivalent to 4/20
1/5
2/10
3/15
5/25
6/30
7/35
8/40
9/45
10/50
Answer:
1/5
Step-by-step explanation:
4/20=1/5
Given the following equation, solve for the easiest variable.
3x + y = -6
Answer:
Let's solve for x.
3x+y=−6
Step 1: Add -y to both sides.
3x + y + −y = −6 + −y
3x = − y − 6
Step 2: Divide both sides by 3.
3x / 3 = − y −6 / 3
x = − 1 / 3 y −2
Answer:
x = − 1 / 3 y −2
Hope it helps
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Thank you
Answer:
x = 2 + y/3
Step-by-step explanation:
Add
y
to both sides of the equation.
3 x = 6 + y
Divide each term by
3
and simplify.
Raquel drew a scatter plot to show the relationship between the length, in inches, and weight, in pounds, of metal bars in her shop. Using regression, Raquel fit a line to her scatter plot as shown below.
y = 73x
y = 43x
y = 34x
y = 37x
Answer:
y=3/7x
Step-by-step explanation:
The equation from the given graph is y=3/7 x. Therefore, option D is the correct answer.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
From the given figure,
The slope of a line is 3/7 and the y-intercept is c=0
Substitute m=3/7 and c=0 in y=mx+c, we get
y=3/7 x+c
y=3/7 x
Therefore, option D is the correct answer.
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Solving Quadratic Equations
Directions: Solve the following quadratic equations using the quadratic formula. Show your work
and all answers must be in simplest radical form.
I
a. x2 - 2x - 15 =0
b. x2 + 8x - 10 =0
Answer:
a) x= 5 or x= -3
b) x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]
Step-by-step explanation:
a) [tex]x^{2}[/tex] - 2x - 15 =0
x = [tex]\frac{-(-2) +\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex] or [tex]\frac{-(-2) -\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]
x= 5 or x=-3
b) [tex]x^{2}[/tex] + 8x - 10 =0
x = [tex]\frac{-(8) +\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex] or [tex]\frac{-(8) -\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]
x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]
State five important properties of whole numbers ?
Closure for addition and multiplication.
Commutative property for addition and multiplication.
Associative property for addition and multiplication.
Distributive property of multiplication over addition.
Identity for addition and multiplication.
Hope this helps; have a great day!
Please please help help me please please ASAP ASAP please
Answer:1.b 2.i think 5x5 3.a
Step-by-step explanation:
there your ANWERS
Please please help me
Please help will give brainliest
Answer:
For one I think the answer is 14 and my brothers name is ethan!
Step-by-step explanation:
Write a linear equation in slope- intercept form given 2x +5y =35
Answer:
(0,−7)
Explanation:
To find the y-intercept of an equation, set x equal to 0 and solve: In the case of 2x−5y=35, let's replace all instances of x in the equation with 0 and solve for y: 2(0)−5y=35−5y=35−5y−5=35−5
y=−7
Thus, the y-intercept is at (x y)=
(0,−7).
The cargo hold of a truck is a rectangular prism measuring 18 feet by 13.5 feet by 9 feet. The driver needs to figure out how many storage boxes he can load. Choose true or False for each statement.
Answer:
B
Step-by-step explanation:
The solution is
Option A - True
The volume of the rectangular cargo is 2187 feet³
Option B - True
The volume of the rectangular cargo is 2187 feet³
Option C - True
The volume of the rectangular cargo is 2187 feet³
Option D - True
The volume of the rectangular cargo is 2187 feet³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the cargo hold be a rectangular prism
Now , the dimensions of the rectangular prism is
18 feet x 13.5 feet x 9 feet
And , the Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle = 18 x 13.5 x 9
Volume of Rectangle = 2187 feet³
a)
The number of boxes = 6
The dimensions of the cargo be = 9 feet x 4.5 feet x 9 feet
So , the volume of the cargo = number of boxes x 9 x 4.5 x 9
On simplifying the equation , we get
Volume of the cargo = 6 x 364.5
Volume of the cargo = 2187 feet³
b)
The number of boxes = 81
The dimensions of the cargo be = 3 feet x 3 feet x 3 feet
So , the volume of the cargo = number of boxes x 3 x 3 x 3
On simplifying the equation , we get
Volume of the cargo = 81 x 27
Volume of the cargo = 2187 feet³
c)
The number of boxes = 24
The dimensions of the cargo be = 4.5 feet x 4.5 feet x 4.5 feet
So , the volume of the cargo = number of boxes x 4.5 x 4.5 x 4.5
On simplifying the equation , we get
Volume of the cargo = 24 x 91.125
Volume of the cargo = 2187 feet³
d)
The number of boxes = 12
The dimensions of the cargo be = 9 feet x 4.5 feet x 4.5 feet
So , the volume of the cargo = number of boxes x 9 x 4.5 x 4.5
On simplifying the equation , we get
Volume of the cargo = 12 x 182.25
Volume of the cargo = 2187 feet³
Hence , the volume of the rectangular cargo is 2187 feet³
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A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day.
N(t)=50t/t+4
E(t)= 70t/t+3
Which function describes the difference of the number of components assembled per day by the experienced and new employees?
A. D(t)= 10t(2t+13)/t+3
B. D(t)= 10t(2t+13)/ (t+4)(t+3)
C. D(t)= 10t(2t-13)/t+4
D. D(t)=10t(2t-13)/ (t+4)(t+3)
The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)
Here we perform subtraction :
D(t) = N(t) - E(t)
N(t) = 50t / (t+4)
E(t) = 70t / (t+3)
The difference :
D(t) = E(t) - N(t)
D(t) = [70t / (t+3)] - [50t / (t+4)]
The L.C.M of (t+3) and (t+4) is (t+3)(t+4)
[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)
70t² + 280t - [50t² + 150t] / (t+3)(t+4)
[70t² + 280t - 50t² - 150t] / (t+3)(t+4)
20t² + 130t / (t+3)(t+4)
D(t) = 10t(2t + 13) / (t+3)(t+4)
The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)
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Answer:b
Step-by-step explanation:
plato
Find the area of a rectangle with side lengths 5 /8 ft. And 1/ 3 ft. A 1-foot by 1-foot square is shown. The square is divided into 8 rows and 3 columns. Therefore, there are a total of 24 equal-sized cells inside the square. A. 5 /11 ft 2 B. 1 11/ 12 ft 2 C. 6/ 11 ft 2 D. 5 /24 ft 2
Answer: 5/24 ft²
Step-by-step explanation:
To find the the area of a rectangle with side lengths 5/8 ft and 1/3 ft, we need to know that the area of a rectangle is gotten by multiplying the length by the width.
In this case, the area of the rectangle will be:
= 5/8 × 1/3
= 5/24 ft²
A swimming pool measures 10 feet by 8.5 feet by 5 feet. How many cubic feet of water will the swimming pool hold?
Answer:
425 Cubic Feet
Step-by-step explanation:
Cubic feet is volume meaning that in order to find the volume you must multiply the length, width and the height. The answer is 425
The swimming pool will hold 425 cubic feet of water.
What is the volume of a rectangular prism?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
To find the volume of the swimming pool in cubic feet, we need to multiply the length, width, and height of the pool:
The volume is calculated as,
Volume = length x width x height
Volume = 10 ft x 8.5 ft x 5 ft
Volume = 425 cubic feet
Therefore, the swimming pool will hold 425 cubic feet of water.
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Question 2
Write true or false for each of the following
statements:
2.1
1 is the smallest uneven prime number
Answer:
false, 1 is not the smallest uneven prime number as it is not a prime number, prime numbers have 2 and only 2 factors whereas 1 only has 1 factor, as well as this, you can have negative prime numbers
Answer:
False one is not the smallest uneven prime number
why is it important to know the shape of the base of the pyramid
Answer:The pyramid had sloping sides so that the dead pharaoh could symbolically climb to the sky and live forever. The pyramid represented the rays of the Sun I hope this helps
Step-by-step explanation: