Answer:
-10
Step-by-step explanation:
multiply by the reciprocal
-4÷5/2
reduce the numbers with greatest common factor 2
-2 x 5
multiply the numbers
-10
f the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)
A) 13.3 cm
B) 13.9 cm
C) 14.6 cm
D) 14.9 cm
Answer:
The length of the diagonal x is 13.9 cm
Step-by-step explanation:
Given:
Side of the cube = 8 centimetres
To Find:
The length of the diagonal = ?
Solution:
The length of the diagonal is = [tex]\sqrt{3}a[/tex]
where a is the side of the cube
On substituting the values
Diagonal x = [tex]\sqrt{3}(8)[/tex]
Diagonal x = [tex]1.73 \times 8[/tex]
diagonal x = 13.856
Diagonal x = 13.9 cm
A total of 216 people bought tickets for the matinee and night showing of the school play. Students bought
of the tickets foi
the matinee, while g of the night show's tickets were sold to students. If there were a total of 118 tickets sold to students,
which system of equations can be used to determine the total number of tickets sold for the matinee, x, and for the night
showing y?
© x+y= 216 and < x+y=118
x+y = 118 and ž x+2y=216
x+y = 218 and x+ žy - 118
x+y = 118 and ģx+ Ży-118
the answer is A
Step-by-step explanation:
Answer:
A. x + y = 216 and Two-thirds x + StartFraction 4 Over 9 EndFraction y = 118. ☁︎✮
Step-by-step explanation:
A 40% dye solution is to mixed with a 53% dye solution to get 260L of a 50% solution. How many liters of the 40% and 50% solutions will be needed
From given,
Final solution is 260 liter
Let x be the liters of 40 % dye solution
Then, (260 - x) is the liters of 53 % dye solution
Therefore, according to question,
x liters of 40 % dye solution is mixed with (260 - x) liters of 53 % dye solution to get 260 liters of 50 % dye solution
Thus we frame a equation as:40 % of x + 53 % of (260 - x) = 50 % of 260
Solve for "x"
[tex]\frac{40}{100} \times x + \frac{53}{100} \times (260-x) = \frac{50}{100} \times 260\\\\0.4x+ 0.53(260-x) = 0.5 \times 260\\\\0.4x + 137.8 - 0.53x = 130\\\\0.13x = 137.8 - 130\\\\0.13x = 7.8\\\\Divide\ both\ sides\ by\ 0.13\\\\x = 60[/tex]
Thus 60 liters of 40 % dye solution is used
Then, (260 - x) = 260 - 60 = 200
Thus 200 liters of 53 % dye solution is used
6000(1-(1+0.06)‐³²)/0.06(1+0.06)
Answer:
79716.98
Step-by-step explanation:
Solve 3(x + 2) > x.
{x | x < -1}
{x | x > -1}
{x | x < -3}
{x | x > -3}
Answer:
3x + 6 > x
2x > -6
x > -3
answer is d
Answer:
x > -3
Step-by-step explanation:
At noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .48. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic beverage.
The probability that in a sample of 12 customers at Noodles & Company restaurant, none of them will order a nonalcoholic beverage is 0.020211.
Explanation:In this question, we are given that the probability that a customer will order a nonalcoholic beverage at Noodles & Company restaurant is 0.48. We are asked to find the probability that in a sample of 12 customers, none of them will order a nonalcoholic beverage.
To find the probability that none of the 12 customers will order a nonalcoholic beverage, we can use the concept of independent events and the multiplication rule of probability.
The probability that a customer will order a nonalcoholic beverage is 0.48, so the probability that a customer will not order a nonalcoholic beverage is 1 - 0.48 = 0.52. Since each customer's decision is independent, the probability that none of the 12 customers will order a nonalcoholic beverage is (0.52)^12 = 0.020211.
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The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting is 126 in^2. What was the original side length of the square.
Answer:
[tex]Original\ length\ of\ square=10\ inches[/tex]
Step-by-step explanation:
Let the length of square [tex]=x\ inches[/tex]
[tex]8[/tex] inches is added one side of square
Then length of one side [tex]=x+8\ inches[/tex]
[tex]3\ inches[/tex] is subtracted other side of square
Then length of other side [tex]=x-3[/tex]
[tex]area\ of square =126\ inches^2\\\\Side\times side =126\ inches^2\\\\(x+8)\times(x-3)=126\ inches^2\\\\x(x-3)+8(x-3)=126\ inches^2\\\\x^2-3x+8x-24=126\ inches^2\\\\x^2+5x-24=126\ inches^2\\\\x^2+5x-150=0\\\\x^2+15x-10x-150=0\\\\x(x+15)-10(x+15)=0\\\\(x+15)(x-10)=0\\\\x+15=0\\x=-15\ \ \ \ negative\ length\ does\ not\ consider\\\\x-10=0\\x=10[/tex]
[tex]Original\ length\ of\ square\ =10\ inches[/tex]
5x+7=8x-71 what is x
Answer:
x = 26
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+7=8x−71
Step 1: Subtract 8x from both sides.
5x+7−8x=8x−71−8x
−3x+7=−71
Step 2: Subtract 7 from both sides.
−3x+7−7=−71−7
−3x=−78
Step 3: Divide both sides by -3.
−3x / −3 = −78 / −3
x=26
I hope this helps!
Brainliest is very much appreciated.. :}
Answer:
x=26
Step-by-step explanation:
5x-8x= -71 -7
-3x= -78
-3. -3
6. The measures of the three angles of a triangle
are (3x), (x - 15)° and (2x + 15). What is the
measure of the angle with the greatest measure?
Help please
Find the equation of a line that joins the midpoint of (7, 3) and (9, -7) and the y-intercept of
5x – 6 = 2y.
Answer:
y = [tex]\frac{1}{8}[/tex] x - 3
Step-by-step explanation:
Use the midpoint formula
Given (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (9, - 7), thus
midpoint = [ [tex]\frac{1}{2}[/tex] (7 + 9), [tex]\frac{1}{2}[/tex] (3 - 7 ) ] = (8, - 2)
-----------------------------------------------------------
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x - 6 = 2y into this form by dividing all terms by 2
y = [tex]\frac{5}{2}[/tex] x - 3 ← in slope- intercept form
with y- intercept c = - 3 ⇒ (0, - 3 )
-------------------------------------------------------------
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂, x₁ )
with (x₁, y₁ ) = (8, - 2) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3+2}{0-8}[/tex] = [tex]\frac{-1}{-8}[/tex] = [tex]\frac{1}{8}[/tex]
y = [tex]\frac{1}{8}[/tex] x - 3 ← equation of line
really need help !!?????
Answer:
x = (150/360)(2π) = (5/6)π
Ben paid $86 for 40 gallons of gas. How much would 15 gallons cost?
The radius of circle L is 16 cm.
What is the length of its diameter?
8 cm
16 cm
32 cm
64 cm
Circle with center at point L. Points G, H, I, J and K are on the circle. Line segments GK, GL, LJ, GLJ, IL, HL, LK and HLK are drawn.
Answer:
32 cm
Step-by-step explanation:
Radius=16 cm
Now
Diameter=2(radius)
Diameter=2(16)
=32 cm
32
Step-by-step explanation:
Cuz radius is half circle, so times that by 2 you get diameter
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
Solve the equations to find the number and type of solutions.
The equation 8 - 4x = 0 has
real solution(s).
DONE
Answer:
One real solution (which is x = 2)
Step-by-step explanation:
8-4x = 0
8 = 4x
8/4 = 2
x=2
Can be solved with no different solution
Solve for the variable in each equation
Answer:
Step-by-step explanation:
Each side of the regular hexagon below has the same measure. A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options.. The model represents a reduction. Each side of the model is 15 feet long. The model is proportional to the original hexagon. One side of the model can be 8.5 feet. The scale factor is divided by 2.5 to get the dimensions of the model.
Answer:
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
Step-by-step explanation:
A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model?
a.) The model represents a reduction
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
d.) one side of the model can be 8.5 feet long
e.) the scale factor is divided by 2.5 to get the dimensions of the model
Which expression is 5 times as much as the sum of r and s?
A) 5 × r + s
B) 5 + r + s
C) r + s × 5
D) (r + s) × 5
The option (D) (r + s) × 5 is correct if the expression is 5 times as much as the sum of r and s.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a statement about the expression:
The expression is 5 times as much as the sum of r and s
We can frame the expression as follows:
= 5(r + s)
or
= (r + s) × 5
Thus, the option (D) (r + s) × 5 is correct if the expression is 5 times as much as the sum of r and s.
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What is the area of this parallelogram?
A. 364 cm²
B. 143 cm²
C. 91 cm²
D. 52 cm²
Parallelogram A B C D with side D C parallel to side A B and side A D parallel to side B C. Point F is between points D and C and connects to point B with a dotted segment. Point E is between points A and B is connected to point D with a dotted segment. D F B E is a rectangle with all right angles. D F is 4 centimeters. F C is 7 centimeters. E B is 4 centimeters. A E is 7 centimeters. D E is 13 centimeters.
Answer:52cm
Step-by-step explanation:
Which of these pairs of points defines a line with a slope -4/3?
A) (-1, 6) and (-4, 10)
B) (6, -1) and (-4, 10)
C) (-1, 6) and (10, -4)
D) (6, -1) and (10, -4
Slope is defined as (y2-y1)/(x2-x1)
"A" gives a slope of (10-6)/(-4-(-1))=4/-3=-4/3
Hope this helped
The point pair establishing a line with a slope of -4/3 is (-1, 6) and (-4, 10). which is the correct answer would be an option (A).
What is the slope of the line?The slope of a line is defined as the gradient of the line.
To determine the slope of a line, we can use the formula: slope m = (y₂ - y₁)/(x₂ -x₁ )
Using this formula, we can calculate the slope for each of the pairs of points given:
A) (-1, 6) and (-4, 10):
slope = (10 - 6)/(-4 - (-1)) = -4/3
B) (6, -1) and (-4, 10):
slope = (10 - (-1))/(-4 - 6) = -11/10
C) (-1, 6) and (10, -4):
slope = (-4 - 6)/(10 - (-1)) = -10/11
D) (6, -1) and (10, -4):
slope = (-4 - (-1))/(10 - 6) = -3/4
Therefore, the pair of points that defines a line with a slope of -4/3 is (-1, 6) and (-4, 10).
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Find the arc length, x, when
r= 8 and 0 = 5 radians.
Answer:
Arc Length = 40
Step-by-step explanation:
Arc Length Formula: S = rΘ
R = radius
Θ = Radians
Step 1: Identify the radius and the radian angle
R = 8
Θ = 5 radians
Step 2: Plug into the equation
S = (8)(5)
Step 3: Solve
S = 40
Answer: Arc Length = 40
187 is the product of -17 and m .
Answer:m=-11
Step-by-step explanation:
You find the answer by dividing 187 by -17.
The value for m is -11
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: -17m=187
Thus simplifying we get m= 187/-17
= -11
Hence, The value for m is -11
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The diagonals of a rhombus are 14 and 48 cm Find the length of a side of the rhombus
is 0.4562345 a rational number
Answer:
yes
Step-by-step explanation:
Answer:
no i believe its an irrational number
Step-by-step explanation:
How many solutions does this equation have?
(15x + 21)
3
= 5x + 7
Your equation is unclear. Do you mean the following:
(15x+21)/3=5x+7 or 3(15x+21)=5x+7
If the left equation is the correct one, the left side simplifies to 5x+7=5x+7, which must mean all real numbers are correct solutions. Thus, it has infinite real solutions.
The equation (15x + 21)³ = 5x + 7 is a cubic equation. The number of solutions can be 0, 1, 2, or 3 solutions.
Explanation:The equation is (15x + 21)³ = 5x + 7. To determine the number of solutions, we need to simplify and solve the equation.
Step 1: Expand the equation using the binomial theorem. This gives us: 3375x³ + 14175x² + 19305x + 9261 = 5x + 7.
Step 2: Combine like terms on both sides of the equation. This results in: 3375x³ + 14175x² + 19305x + 9254 = 0.
Step 3: This is a cubic equation. Cubic equations can have 3 solutions at most. However, it is not guaranteed that this equation will have 3 solutions. It can have fewer solutions or even no real solutions.
Therefore, the number of solutions for this equation is either 0, 1, 2, or 3 solutions. Further analysis or calculations may be needed to determine the exact number of solutions.
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The answer to 21 + 1.7+ 0.25
Answer:
22.95
Step-by-step explanation:
Answer:
22.95
Step-by-step explanation:
3.14(6x)^2
jjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
Step-by-step explanation:
Step-by-step explanation:
[tex]3.14(6x)^{2} \\ \\ = 3.14 \times 36 {x}^{2} \\ \\ = 113.04 {x}^{2} \\ \\ [/tex]
What is the value of x in 2x+8+3x+5=123
Answer:
5x + 13 = 123
- 13 - 13
5x = 110
5x/5 = 110/5
x = 22
Help please! The trapezium question!
Answer:
formula for sum of interior angles is (n-2)*180 - for a regular polygon
divide that by the number of sides
so 6-2 = 4*180 =720 degrees
720/6 = one angle(angle a) =120
Answer:
D. 120 degrees.
Step-by-step explanation:
We nee to find the measure of the interior angle in a regular hexagon.
The exterior angle = 360 / 6 = 60 degrees. ( In all convex polygons the sum of the exterior angles = 360 degrees).
So α = 180 - 60 = 120 degrees (adjacent angles add up to 180 degrees).
Is 3/8 smaller than 11/12
Answer:
3/8 is smaller than 11/12
Step-by-step explanation:
3/8 is equal to 0.375 and 11/12 is equal to 0.91, which makes 3/8 a smaller number and 11/12 a bigger number.
A line intersects the points (0, -4) and
(1, 2). What is the slope-intercept
equation for this line?
y = [?]x+[
Equation is y = 6x - 4
Step-by-step explanation:
Step 1: Find the slope of the line using m = (y2 - y1)/(x2 - x1) Here x1 = 0, x2 = 1, y1 = -4, y2 = 2⇒ m = (2 - -4)/(1 - 0) = 6
Step 2: Find y-intercept, b. Since the line passes through (0, -4) b = -4Step 3: Form the slope-intercept equation⇒ y = 6x - 4