Answer:17/38
Step-by-step explanation:
5/19+7/38
\frac{5}{19}+\frac{7}{38}
Answer:
[tex]\frac{17}{38}[/tex]
Step-by-step explanation:
[tex]\frac{5 * 2}{19 * 2} +\frac{7}{38}[/tex]
[tex]\frac{10+ 7 }{38}[/tex] 10 +7 =17
[tex]\frac{17}{38}[/tex]
What are the solutions of the quadratic equation x²-20=8 x ?
F. 2,10
G. 20,1
H. -1,20
J. -2,10
The solutions of the quadratic equation [tex]x^{2}[/tex]-20=8 x are -2 and 10.
The given quadratic equation is [tex]x^{2}[/tex] - 20 = 8 x . To get the solutions of the given quadratic equation we need to simplify the quadratic equation. The step wise simplification of the given quadratic equation is,
[tex]x^{2}[/tex] - 20 = 8 x
[tex]x^{2}[/tex] - 8x -20 =0
on breaking -8x in two parts as -10x + 2x , we will get
[tex]x^{2}[/tex] -10x + 2x -20 = 0
x (x - 10) + 2 (x - 10) = 0
On taking (x-10) as common, we get
(x-10) (x+2) = 0
x = -2 , 10
The solutions of the quadratic equation [tex]x^{2}[/tex]-20=8 x are -2 and 10.
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−
6
x
−
4
≤
2
(
x
−
10
)
Answer:
x > 2
Step-by-step explanation:
because , you have to use inverse operation to check your answer .
-6x-4< 2x-20
-6x-4+4<2x-20=4
-6x<2x-16
-6x-2x<2x-16-2x
-8x<-16
(-8x)(-1)>(-16)(-1)
8x>16
8x/8 > 16/8
x>2
Help please need it for rn
Check the picture below.
i need help on this.
Answer:
what
Step-by-step explanation:
Evaluate each expression for the given value of the variable. 5c³ - 6c√-2 c ; c=-5
The value of the expression [tex]5c^{3} -6c\sqrt{-2c}[/tex] at c = -5 is [tex]5(-125 +6\sqrt{10})[/tex] .
An algebraic expression is an expression having constant and variable joined with algebraic operation(+,-,×,÷).
For Example , 2c+5x+6 is an algebraic expression.
In the given expression
[tex]=5c^{3} -6c\sqrt{-2c}[/tex]
Substituting the value of c = -5 .
We get ;
[tex]=5(-5)^{3} -6(-5)\sqrt{-2(-5)}[/tex]
[tex]=5(-125) +30\sqrt{-2(-5)}\\ \\ =-625 +30\sqrt{10}[/tex]
taking 5 common from both the terms
[tex]=5(-125 +6\sqrt{10})[/tex]
Therefore , the value of the expression [tex]5c^{3} -6c\sqrt{-2c}[/tex] is [tex]5(-125 +6\sqrt{10})[/tex].
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Pls answer this by 11:00
Answer:
1.)
[tex]\frac{3a}{4} =\frac{1}{4} \\[/tex]
cross multiply
[tex]12a=4\\\frac{12a}{12} =\frac{4}{12} \\a=\frac{1}{3}[/tex]
2.)[tex]\frac{7}{2} =\frac{c}{\frac{8}{7} }[/tex]
cross multiply
[tex]c=\frac{7}{2} *\frac{8}{7} \\c=\frac{56}{14} \\c=4[/tex]
3.)[tex]\frac{6}{5} =\frac{h}{\frac{3}{8} } \\[/tex]
cross multiply
[tex]\frac{6}{5} *\frac{3}{8} =h\\h=\frac{18}{40} \\h=\frac{9}{20}[/tex]
4.)[tex]\frac{-2}{9} =\frac{-3m}{2} \\[/tex]
cross multiply
[tex]-2(2)=9(-3m)\\-4=-27m\\\frac{-4}{-27}=\frac{-27m}{-27} \\m=\frac{4}{27}[/tex]
5.)[tex]\frac{7}{6} =\frac{7p}{3} \\42p=21\\ \frac{42p}{42} =\frac{21}{42} \\p=\frac{1}{2}[/tex]
6.)[tex]\frac{x}{\frac{1}{7} } =-\frac{4}{7} \\x=\frac{1}{7} *\frac{-4}{7} \\x=\frac{-4}{49}[/tex]
7.)[tex]\frac{n}{\frac{4}{9} } =\frac{10}{9} \\n=\frac{10}{9} *\frac{4}{9} \\n=\frac{40}{81}[/tex]
8.)[tex]\frac{5}{3} g=-\frac{8}{3}\\ g=-\frac{8}{3} /\frac{5}{3} \\g=\frac{-8}{3}*\frac{3}{5} \\ g=\frac{-24}{15} \\g=\frac{-8}{5}[/tex]
Here is a distribution of quiz scores for a statistics course: 87, 91, 74, 73, 80, 84, 68, 75 what is the standard deviation?
The standard deviation is 7.35.
What is standard deviation?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group
In order to determine the standard deviation, take the following steps:
Determine the mean of the observation: (87 + 91 + 74 + 73 + 80 + 84 + 68 + 75) / 8 =79
Determine the difference between each value and the mean and then square the result:
(87 - 79)² + ( 91 - 79) ² + (74 - 79)² + (73 - 79)² + (80 - 79)² + (84- 79)² + (68 - 79)² +( 75- 79) ²
64 + 144 + 25 + 36 + 1 + 25 + 121 + 16 = 432
Determine the mean of the sum of the squared differences and then find the square root of the mean:
√432 / 8 = 7.35
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Which square does not touch one of the perimeter
quares?
What is the combined area of rows 4 and 5?
5
4
3
2
1
ABCDE
a) The square that does not touch one of the perimeter squares is the square 3C.
b) The area is 10 units.
Which square does not touch one of the perimeter squares?
The perimeter squares are the outer squares of the image. So, the only square that does not touch one of the perimeter squares is the central one. To identify it, you need to first see in which row it is, and you can see that it is row 3.
Then you need to identify the column, the central square is in column C.
Then the square that does not touch one of the perimeter squares is the square 3C.
What is the combined area of rows 4 and 5?
Let's say that each square has an area of one unit. Now, we have 5 columns, then each row has 5 squares, then the area of each row is 5 units.
So, if we have two rows, the area will be: 2*5 units = 10 units.
The area is 10 units.
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Define the variable?
Write the constraints ?
What is the Objective Equation?
Variable - These are the unknown quantities that expected to estimate it as an output.
Example:- In an optimization model for labor scheduling, the number of nurses to employ during the morning shift in an emergency room may be a Decision variable.
Constraints - the restrictions on the variable open linear programming problem are called constraints.
The conditions x ≥ 0, y ≥ 0 called non negative restrictions.
Objective equation - the objective equation should be specified in a quantitative way.
It is of the form Z = ax + by
where x and y are decision variable.
Z is to be maximized or minimized to find the solution.
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Evaluate 6(x-5) at x=8
Answer:
18
Step-by-step explanation:
Substitute x with 8 :
6(8-5) =
8-5 = 3
6(3) = 6 × 3 = 18
Therefore 18 is our final answer
Hope this helped and have a good day
Hey there!
6(x - 5)
= 6(8 - 5)
= 6(8) + 6(-5)
= 48 - 30
= 18
OR EVEN:
6(x - 5)
= 6(8 - 5)
= 6(3)
= 18
18 = 18
Therefore, your answer should be:
18
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
y-2=¼(x+5) into slope-intercept form?
The slope intercept form is y = 1/4x + 13/4
The general expression for slope intercept form is given as follows
y = mx + c
where, m = slope of the line
c = intercept
We have been given the equation that is,
y – 2 = 1/4(x+ 5)
We will solve this step by step to convert it into the general form that is,
y – 2 = 1/4(x+ 5)
y – 2 = 1/4x + 5/4
y = 1/4x + 5/4 + 2
y = 1/4x +13/4
which is in the general form of y= mx + c where m = 1/4 and c = 13/4
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Find the first five terms of each sequence. an =5 n-3
The first five terms of the sequence an =5 n-3 are 2, 7, 12, 17 and 22.
According to the question.
We have a formula or a rule for finding the terms of a sequence i.e.
an = 5n -3.
The first term of the sequnence an = 5n - 3 is given by
a(1) = 5(1) -3 = 5 -3 = 2
The second term of the sequence an = 5n - 3 is given by
a(2) = 5(2) - 3 = 10 - 3 = 7
The third term of the sequence an = 5n -3 is given by
a(3) = 5(3) - 3 = 15 - 3 = 12
The fourth term of the sequence an = 5n - 3 is given by
a(4) = 5(4) - 3 = 20 - 3 = 17
The fifth term of the sequence an = 5n - 3 is given by
a(5) = 5(5) - 3 = 25 - 3 = 22
Hence, the first five terms of the sequence an =5 n-3 are 2, 7, 12, 17 and 22.
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what number is the square root of 78 in between of
Answer:
the square root rounded up is around 8
Step-by-step explanation:
because if the 5 is not beside the number it rounds down and the number was 3 so its 8
Suppose B is the midpoint of -AC . Use the given information to find the missing measure. A B=6 y-14, B C=10-2 y, A C= ?
If AB = 6y - 14, BC = 10 - 2y then the value of AC = 8.
What is meant by midpoint?
In geometry, the midpoint is the point in the middle of a line segment. It is equidistant from both endpoints and serves as the segment and endpoint centroid. It cuts the segment in half.
Given: AB = 6y - 14, BC = 10 - 2y
Since B is the midpoint of AC, AB = BC then
6y - 14 = 10 - 2y
Add 14 on both sides of the equation, and we get
6y - 14 + 14 = 10 - 2y + 14
6y = - 2y + 24
Add 2y on both sides of the equation
6y + 2y = - 2y + 24 + 2y
simplifying the above equation, we get
8y = 24
y = 24/8
y = 3
Substitute the value of y in AC then we get
AC = 2(6(3) - 14)
= 2(4)
AC = 8
Therefore, the value of AC = 8.
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Write the equation of each line in standard form.
slope =0 ;(0,2)
The standard equation for the given slope is y - 2 = 0
These are two methods for finding the equation of a line given a point and slope. Create the equation y = mx + b.
We just solved using the m given in the problem and the b. Point-slope form = y-y1 = m (x-x1), where (x1, y1) is the specified point and m is the specified slope. "x" and "y" remain as variables.
Putting (0,2) for (x1, y1) and m=0, we get
y-2=0(x-0)
(y-2) =
y-2=
+y-2=0
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Lisa wants to buy some new shirts are her favorite store. Each shirt costs $15 and she wants to buy a pair of shoes that are $35. Lisa only has $137 to
spend
Let S represent the number of shirts that Lisa buys
Which inequality describes this scenario?
O 137 < 158 +35
O 137 > 158 +35
O 137 >_ 158 +35
O 137 <_158 +35
The inequality that shows the number of shirts that Lisa buys is given as 15x + 35 ≤ 137
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let s represent the number of shirts that Lisa buys. Lisa only has $137 to spend, therefore:
15x + 35 ≤ 137
The inequality that shows the number of shirts that Lisa buys is given as 15x + 35 ≤ 137
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Determine whether the graph represents a function. Explain
An interior designer is creating a custom coffee table for a client. The top of the table is a glass triangle that needs to balance on a single support. If the coordinates of the vertices of the triangle are at (3,6),(5,2) , and (7,10) , at what point should the support be placed?
According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the midpoint of the sides.
The coordinates of the centroid (P) are (3 + 2, 6) or (5, 6).
What is the rule of centroid?The centroid method is an agglomerative clustering method in which the similarities (or dissimilarities) between clusters are defined in terms of the centroids (i.e., the multidimensional means) of the clusters on the clustering variables.
According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the midpoint of the sides.
The triangle has a balance point at the centroid.
Find the centroid of the triangular coffee table.
Use the centroid formula [tex](x_1+x_2+x_3/3, y_1+y_2+y_3/3)[/tex]
The centroid of the triangle is (3 + 5 + 7/3, 6 + 2 + 10/3) or(5, 6).
Let the points be A(3, 6), B(5, 2), and C(7, 10). The midpoint D of BC is (5 + 7/2, 2 +10/2) OR (6, 6).
Note that AD is a line that connects the vertex A and D, the midpoint of BC. The distance from D(6, 6) to A(3, 6) is 6 – 3 or 3 units.
If P is the centroid of the triangle ABC, then So, the centroid is 2/3(3) or 2 units to the right of A.
The coordinates of the centroid (P) are (3 + 2, 6) or (5, 6).
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598 rounded to the nearest 1000
Answer:
1000
Step-by-step explanation:
The closest 1000 to 598 is 1000.
in exercises 1-4, find m 1 and m 2. Tell which theorem you use in each case.
Answer:
m1 = 122°
m2= 58°
Step-by-step explanation:
M1 is an alternate interior angle, of 122°, which means that that angle is also 122°.
The line with m1 and m2 added together equal 180°, so we can subtract 122 from 180 to find m2.
180-122= 58
Evaluate each finite series for the specified number of terms. 80-40+20- . . . ; n=8
Answer:
The value of the given series is 49.75
Step-by-step explanation:
This is a problem from geometric progression ,
As we know the formula for geometric progression is aₙ = a₁ r ⁿ⁻¹
Where , a₁ is the first term and r is the ratio , and n is the number of terms.
Ratio is , 40/80 = 1/2
Here , a₄ = 80 . (1/2)⁴ ⁻ ¹ = 80 / 8 = 10
a₅ = 80 . (1/2)⁵ ⁻ ¹ = 80 / 16 = 0.5
a₆ = 80 . (1/2)⁶ ⁻ ¹ = 0.25
a₇ = 80 . (1/2)⁷ - ¹ = 0.125
a₈ = 80 . (1/2) ⁸ ⁻ ¹ = 0.625
Now the series can be written as .
80-40+20- 10 + 0.5 - 0.25 + 0.125 - .625 = 49.75
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The roof support on Lamar's house is in the shape of an isosceles triangle with base angles of 38°. Find x .
The value of top angle x will be 104° for the given isosceles triangle.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
Given the roof as an isosceles triangle with a base angle of 38°.
Since in an isosceles triangle two sides and two angles are equal.
Since the sum of all angles of a triangle is 180 degrees.
So,
x + 38 + 38 = 180
x + 76 = 180
x = 104°.
Hence "The value of top angle x will be 104° for the given isosceles triangle".
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Show work will give 30 points NEED ASAP
2(5-10x)+8x=19x+52
Answer:
[tex]x=-\frac{42}{31}[/tex]
Step-by-step explanation:
2 ( 5 - 10x ) + 8x = 19x + 52
→ Expand brackets
10 - 20x + 8x = 19x + 52
→ Simplify
10 - 12x = 19x + 52
→ Minus 19x from both sides
10 - 31x = 52
→ Minus 10 from both sides
-31x = 42
→ Divide both sides by -31
[tex]x=-\frac{42}{31}[/tex]
What is the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15,-5)?
y=3/5x-20
y=-3/5x+20
y=5/3x-20
y=-5/3x+20
Answer: Option (4)
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other, so the slope of the line we want to find is -5/3.
Of the options, the only one that satisfies this is choice 4.
The grades in period 3 algebra 2 have an average of 82 nd vary by 12 percentage points. formulate an absolute value equation that could be used to solve for the maximum and minimum grade.
The absolute value equation used to solve this problem: | x - 82 | = 12, where x = grade.
What is an absolute value equation?A statement that contains an absolute value is known as an absolute value equation. The absolute value contains the variable of the equation.Now,
Given:
The average of grades = 82%Variation = 12%Let 'x' be the value that gives the value of grades.
The absolute value equation to find the grades will be given by: | x - 82 | = 12
=> x - 82 = ± 12
For maximum value of the grades, x - 82 = 12
=> x = 82 + 12
=> x = 94.
For minimum value of the grades, x - 82 = -12
=> x = 82 - 12
=> x = 70.
Hence, The absolute value equation used to solve this problem: | x - 82 | = 12, where x = grade.
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Two stores are having sales on the same shirt. the sale at store 1 is "2 shirts for $22" and the sale at store 2 is "each $12.99 shirt is 10% off". explain how much will you save by buying at store 1.
Answer:
22 divided by 2 equals 11, so each shirt at store one, you are getting for $11. Store 2 is having a sale of 10% off 12.99 is 11.69, so each shirt is $11.69. So, Store 1 is a better deal.
Step-by-step explanation:
Answer:
1.38$
Step-by-step explanation:
QUESTION
Two stores are having sales on the same shirt. the sale at store 1 is "2 shirts for $22" and the sale at store 2 is "each $12.99 shirt is 10% off". explain how much will you save by buying at store 1.
EXPLANATION
store one 2 shirts 22$
store 2 1 shirt 12.99/10=1.30 so 12.99-1.30=11.69x2=23.38
23.38-22=1.38
x=2
#4a&b
The perimeter of the rectangle below is 42 inches. Write an equation that could be used to
find the value of x. Then, find the dimensions of the rectangle.
5x
Equation:
Dimensions of Rectangle:
Step-by-step explanation:
the perimeter of a rectangle is
2×length + 2×width
for our rectangle here that means
2×(5x) + 2×(x - 3) = 42
10x + 2x - 6 = 42
12x - 6 = 42
12x = 48
x = 4
length = 5x = 5×4 = 20 in.
width = x - 3 = 4 - 3 = 1 in.
Select the correct answer. Which equation has no solution? A. 24x + 32 − 2.1x = 20.9x + 30 + x + 2 B. 24x + 32 − 2.1x = 20.9x + 30 + x − 2 C. 24x + 32 − 2x = 20.9x + 30 + x − 2 D. 24x + 32 = 20.9x + 30
The equation that has no solution is 24x+32-2.1x = 20.9x+30+x-2
Part A
24x+32-2.1x = 20.9x+30+x+2
Add like terms
24x-2.1x-20.9x-x = 30+2-32
0x = 0
Infinitely many solutions
Part B
24x+32-2.1x = 20.9x+30+x-2
Add like terms
24x-2.1x-20.9x-x = 30-2-32
0x = -4
There is no solution
Part C
24x+32-2x = 20.9x+30+x-2
Add like terms
24x-2x-20.9x-x = 30-2-32
0.1x = -4
x = (-4)/0.1
x = -40
It has only one solution
Part D
24x+32 = 20.9x+30
Add like terms
24x-20.9x = 30-32
3.1x = -2
x= (-2)/3.1
x = -0.64
It has only one solution
Hence, the equation that has no solution is 24x+32-2.1x = 20.9x+30+x-2
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if the lenght and breadth of the rectangular sheet of paper is 49 1/2 cm and 23 1/2 cm repsectivly . Find its perimeter
Answer: 146 cm
Step-by-step explanation:
A simple way to find the perimeter of a rectangle is to double both sides and add them.
(49.5 * 2) + (23.5)
= 99 + 47
= 146
If mA = 29° and m/B= 29°, then mZA = m/B represents the property of what?
The statement, m∠A ≅ m∠B, represents the congruence property.
What is the Congruency Property of Equality?The congruency property of equality states that if two angles have measures that are equal to each other, then both angles are said to be congruent to each other.
Given that:
The measure of angle A = 29 degrees
The measure of angle B = 29 degrees.
Since both angles have the same measure, then both angles are congruent to each other.
Therefore, the statement, m∠A ≅ m∠B, represents the congruence property.
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