Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
The table represents the equation y=2-4x. Use the drop-down menus to complete the statements.The x-values are the . The y-values are the . The missing value in the table for x = –1 is y =
Answer:
y=2-4x
y=2-4*1
y=2
y=2-4*2
y=2-6
y=-4
y=2-4*3
y=2-12
y=-10
The x values are the 1,2,3. The y values are the 2, -4,-10
y=2-4x
x=-1 , y=__
substitute x value with -1
y=2-4*-1
y=2-(-4)
y=2+4
y=6
x=-1, y=6
the
The shape of a garden is rectangular in the middle and semi circular
at the ends as shown in the diagram. Find the area and the perimeter
Т.
of this garden [Length of rectangle is
7m 20-(3.5 +3.59 metres).
1
DI
20 m
Answer:
[tex]Area = 129.5m^2[/tex]
[tex]Perimeter = 48m[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the area and the perimeter of the garden
Calculating Area
First, we calculate the [tex]area\ of\ the\ rectangle[/tex]
[tex]A_1 = L * B[/tex]
Where:
[tex]L = 20-(3.5 +3.5)[/tex]
[tex]B = 7[/tex]
So:
[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]
[tex]A_1 = (20 - 7) * 7[/tex]
[tex]A_1 = 13 * 7[/tex]
[tex]A_1 = 91[/tex]
Next, we calculate the area of the two semi-circles.
Two semi-circles = One Circle
So:
[tex]A_2 = \pi r^2[/tex]
Where
[tex]r = \frac{7}{2}[/tex]
[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]
[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]
[tex]A_2 = \frac{22*7}{4}[/tex]
[tex]A_2 = \frac{154}{4}[/tex]
[tex]A_2 = 38.5[/tex]
Area of the garden is
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 91 + 38.5[/tex]
[tex]Area = 129.5m^2[/tex]
Calculating Perimeter
First, we calculate the perimeter of the rectangle
But in this case, we only consider the length because the widths have been covered by the semicircles
[tex]P_1 = 2 * L[/tex]
Where:
[tex]L = 20-(3.5 +3.5)[/tex]
So:
[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]
[tex]P_1 =2 * (20-7)[/tex]
[tex]P_1 =2 * 13[/tex]
[tex]P_1 =26[/tex]
Next, we calculate the perimeter of the two semi-circles.
Two semi-circles = One Circle
So:
[tex]P_2 = 2\pi r[/tex]
Where
[tex]r = \frac{7}{2}[/tex]
[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]
[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]
[tex]P_2 = \frac{308}{14}[/tex]
[tex]P_2 = 22[/tex]
Perimeter of the garden is
[tex]Perimeter = P_1 + P_2[/tex]
[tex]Perimeter = 26 + 22[/tex]
[tex]Perimeter = 48m[/tex]
simplify (y + 1)^5y + 1)^3
Note: Your expression sounds a little unclear, so I am assuming your expression is
[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]
But, the procedure to solve the expressions involving exponents remains the same, so whatever the expression is, you may be able to get your concept clear.
In the end, I will solve both expressions.
Answer:
Please check the explanation
Step-by-step explanation:
Given the expression
[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]
solving the expression
[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]
[tex]\left(y+1\right)^5\left(y+1\right)^3=\left(y+1\right)^{5+3}[/tex]
[tex]=\left(y+1\right)^8[/tex]
Therefore, we conclude that:
[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3=\left(y+1\right)^8[/tex]
IF YOUR EXPRESSION IS THIS
↓
[tex]\left(y\:+\:1\right)^{\left(5y+1\right)^3}[/tex]
solving the expression
as
[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3[/tex]
so
[tex]\left(5y+1\right)^3=125y^3+75y^2+15y+1[/tex]
[tex]=125y^3+75y^2+15y+1[/tex]
Thus, the expression becomes
[tex]\left(y+1\right)^{\left(5y+1\right)^3}=\left(y+1\right)^{125y^3+75y^2+15y+1}[/tex]
11(4-6y)+5(13y+1)=9 help
Answer:
Y = 40
Step-by-step explanation:
44 - 66y + 65y + 5 = 9
49 - y = 9
-y = -40
y = 40
Answer:
y = 40
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
11(4 - 6y) + 5(13y + 1) = 9
Step 2: Solve for y
Distribute: 44 - 66y + 65y + 5 = 9Combine like terms: -y + 49 = 9Isolate y term: -y = -40Isolate y: y = 40Step 3: Check
Plug in y into the original equation to verify it's a solution.
Substitute in y: 11(4 - 6(40)) + 5(13(40) + 1) = 9Multiply: 11(4 - 240) + 5(520 + 1) = 9Subtract/Add: 11(-236) + 5(521) = 9Multiply: -2596 + 2605 = 9Add: 9 = 9Here we see that 9 does indeed equal 9.
∴ y = 40 is the solution to the equation.
You and your friend are in a canoe race. Your friend is a half mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour. You are 8.5 miles from the finish line. How long will it take to catch up to your friend?
Answer:
To catch your friend you have to paddle for 1.25 hours
Step-by-step explanation:
Your friend is 0.5 mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour.
Since the speed is the relationship between the space traveled by an object and the time used for it, then the distance is defined as:
distance= speed*time
Being x the time it takes to reach your friend, then your friend's position will be:
3miles per hour*x + 0.5 (since your friend is 0.5 mile in front of you)while your position is:
3.4 miles per hour*xWhen you reach your friend the position of both should be the same. So:
3*x + 0.5= 3.4*x
Solving:
0.5= 3.4*x - 3*x
0.5= 0.4*x
0.5 ÷0.4= x
1.25= x
This means that to catch your friend you have to paddle for 1.25 hours
NEED HELP ASAP!!!!!!
Answer:
x=57
Step-by-step explanation:
63+60= 123
A triangle is 180 degrees
180-123= 57
x=57
Answer:
pretty sure x = 57
Step-by-step explanation:
60 + 63 = 123
180 - 123 = 57
The circumference of a circle is 64π. What is the radius of the circle?
A. 32
B. 64
C. 80
D. 128
Answer:
A.32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
the formula for circumference is 2πr. Using math we get r as 32
What's the nth term of the following question:
−
5
,
−
7
,
−
9
,
−
11
,
−
13
Answer:
-21
Step-by-step explanation:
-13 +(-2) = -15
-15+(-2) = -17
-17+(-2 )=- 19
-19+ (-2)= -21
Two triangles are congruent if
A. the pictures look the same
B. corresponding sides and corresponding angles are congruent
C. any two sides and any one angle are congruent
D. corresponding angles are congruent
Answer:
B is your answer
Step-by-step explanation:
If Square ABCD is dilated by a scale factor of two about the center of the square, dilated line E'F' will?
HELP PLEASE AWARDING BRAINLIEST IF CORRECT
Answer:
y=1/4x+9
Step-by-step explanation:
x-4y=-36
add 4y to both sides to find x
x=4y−36
To find y=
add -x to both sides
−4y=−x−36
divide both sides by -4
y=mx+b
y=1/4x+9
Wesley is raising monarch caterpillars for a school science project. Every day, he feeds 7 fresh milkweed leaves to each caterpillar. Wesley wants to find out how many caterpillars he can feed in a day with a total of 42 leaves. Write an equation that can be solved for n to find the number of caterpillars he can feed in a day?
Step-by-step explanation:
Let n be the number of caterpillars.
Since each catepillar eats 7 leaves,
Wesley have 7n number of leaves.
In this case 7n = 42, so n = 6.
Answer: 7n = 42, n = 6.
Explanation:
Every caterpillar eats 7 milkweed leaves. That means [tex]n[/tex] is the number of caterpillars Wesley feeds every day. Since we know 7n is equal to 42, n = 6 because 42 ÷ 7 = 6.
what is 8 divided by 4/5?
PLEASE SOMEONE ACTUALLY HELP I WILL MARK BRAINLIEST
Answer:
C, or the third one
Step-by-step explanation:
WHAT IS DIFFERENCE BETWEEN SQUARE AND RHOMBUS JUSTIFY YOUR ANSWER
Answer:A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.
Step-by-step explanation:
Answer:
A square has all its angles equal to 90 degrees a rhombus has no 90 degree angles
Which algebraic rule Describes the transformation
Answer:
The answer is D) (X,Y) ---(-y-x)
help me pleaseeeeeeeeeeee
Answer:
3.643 X 10 -1
Step-by-step explanation:
Answer:
3.643 × 10 ^− 1
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3.643 × 10 ^− 1
Solve for x when y=16.
3x+7=y
Answer: 3
Step-by-step explanation:
3x + 7 = y
3x + 7 = 16
*subtract 7 from both sides because inverse operations*
3x = 9
*divide both sides by 3 because inverse operations*
x = 3
can someone please help me im being timed ‼️
ca someone solve 8 = b - 1 + 8b STEP BY STEP PLEASE.
Answer:
b = 1
Step-by-step explanation:
8 = b - 1 + 8b
combine like terms
8 = 9b - 1
add 1 to both sides of the equation
8 + 1 = 9b - 1 + 1
8 + 1 = 9b
9 = 9b
divide both sides of the equation by 9
9/9 = 9b/9
1 = b
Answer:
b = 1
Step-by-step explanation:
Given
8 = b - 1 + 8b, that is
8 = 9b - 1 ( add 1 to both sides )
9 = 9b ( divide both sides by 9 )
1 = b
A group of students would like to know how well the value of coins in a bag can be predicted based on their weight. They collected the following data.
Weight (grams) 32.7 -96.9- 93.8 65.4 65.4 79.7 69.3 112.1
Value $0.63 $3.22 $2.10 $2.17 $2.14 $2.03 $1.76 $3.19
For the bags of coins, what is the correlation coefficient, r , between "weight" and "value"? Use technology, and round your answer to the nearest hundredth.
Using a calculator, it is found that the correlation coefficient between weight and value is of -0.15.
Correlation coefficient:Has two inputs, which are the sets of values x and y.In this problem, the set x is composed by the weights.The set y is composed by the prices.Inserting these values in a calculator, it is found that the correlation coefficient between weight and value is of -0.15.
You can learn more about correlation coefficient at https://brainly.com/question/25815006
will give brainliest.
Which of the binomials below is a factor of this trinomial?
3x^2+16x+ 5
A- 3x-5
B. 3x-1
C. 3x+1
D. 3x+5
Answer:
option c
Step-by-step explanation:
The zeros of 3x+1
3x=-1
x=-⅓
plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor
3(-⅓)²+16(-⅓)+5
=0
[tex]what \: is \: the \: radius \: 11 \sqrt{2(9.8) r} [/tex]
Answer:
radius r = 9.8 m
base circumference C = 61.575216 m
volume V = 1971.22792 m3
curved surface area A = 603.437117 m2
base surface area B = 301.718558 m2
total surface area K = 905.155675 m2
Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ 0 -1 2. -3 ≤ x ≤ -2 -3 3. -6 ≤ x ≤ -3 -4 4. -6 ≤ x ≤ -4 0 5. -4 ≤ x ≤ -3 3 6. -3 ≤ x ≤ 0 1
Using the given diagram, solve for x.
Aaliyah learned to play a total of 16 pieces over the course of 8 weeks of piano lessons. After 10 weeks of piano lessons, how many total pieces will Aaliyah be able to play? Solve using unit rates.
Answer:
20
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
:P
alice has 5 quarters and 2 nickels. how many cents does alice have?
Answer: $1.35 is the answer
Answer:
5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$
1.- En una bodega hay 34 sacos de maíz, si cada uno pesa 100 kg. ¿Cuántos
kilogramos de maíz hay en la bodega?
Simplify the expression. 3.7z to the power of 2+7.2+9z-1.2-2z+z to the power of 2.
Please help
helppppppppppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
A and C