The percentage of the increment in Hohn's salary will be 3.35%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
John's compensation is $25.38 for each hour. He receives a pay increase of $0.85
The percentage of the increment is calculated as,
P = (0.85 / 25.38) / 100
P = 0.0335 x 100
P = 3.35%
The percentage of the increment in Hohn's salary will be 3.35%.
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which of the following is not a characteristic of a binomial probability distribution?
Multiple choice
Each outcome is mutually exclusive
Each trial is Independent
The probability of sucess remains constant from trail to trail
The number of trails is limited to two
Answer: The number of trials is limited to two.
Help would be appreciated
The correct reason for the similarity of triangles ADC and CBA is given as follows:
SSA.
What are the similarity theorems?The similarity theorems are listed as follows:
SAS: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent by the SAS theorem.ASA: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent by the ASA theorem.SSS: If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are congruent by the SSS theorem.SSA: If two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are congruent by the SSA theorem.In this problem, we have that:
Sides AB and DC are equal.Angles BAC and DCA are equal.Sides AC are equal.Two sides and an angle not between them, hence they are congruent by the SSA theorem.
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A rectangle with a perimeter of 40 inches has a width that is 3 times the length. What is the length And the width
The Length is 5 inches and the Breadth is 15 inches
What is Perimeter?
A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.
Solution:
Perimeter of Rectangle = 2*(Length + Breadth)
According to the question
Breadth = 3*Length
Perimeter = 40
40 = 2*(Length + 3*Length)
20 = 4*Length
Length = 5 inch
Breadth = 15 inch
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17/6 divided 5/3 what’s the answer
Answer:
17/6 divided by 5/3 is equal to 17/6 * 3/5, which simplifies to 51/30.
The cost of 2 kg of carrots is £7 Work out the cost of 5 kg of carrots.
Answer:
56
Step-by-step explanation:
The measure of one of the small angles of a right triangle is 6 more than 3 times the measure of the other small angle. Find the measure of both angles.
Input your answers into the following boxes.
The measures of the two angles in the order from the smallest to the greatest are
degrees and
degrees.
The measures of two angles in the order from the smallest to the greatest are 21° and 69°.
What is a right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Given the acute angle of a right triangle is 6 more than 3 times the measure of the other small angle.
Assume that the measurement of smaller angle is x.
Then the mathematical expression of 6 more than 3 times of x is 6 + 3x.
The measure of third angle is 90° since it a right triangle.
The sum of all interior angles of a right triangle is 180°.
The equation is
x + (6 + 3x) + 90 =180
x + 6 + 3x + 90 =180
Combine like terms:
(x + 3x) + (6 + 90) = 180
4x + 96 = 180
Subtract 96 from both sides:
4x = 180 - 96
4x = 84
Divide both sides by 4
x = 21
Putting x = 21 in the expression (6 + 3x) :
6 + 3x = 6 + 63 = 69.
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identify the measure of angle x. i need answer asap
After solving the angles, the measure of angle x is 145°.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.
The vertex of an angle is the location where two points come together.
The Latin word "angulus," which means "corner," is where the term "angle" originates.
The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.
A geometrical shape called an angle is created by connecting two rays at their termini.
In most cases, an angle is expressed in degrees.
(Refer to the image attached below)
We can see that ∠ABC is a straight angle.
∠ABC = ∠ABD + ∠DBC where ∠ABD is x.
Now, solve for x as follows:
∠ABD + ∠DBC = ∠ABC
x + 35 = 180
x = 180 - 35
x = 145°
Therefore, after solving the angles, the measure of angle x is 145°.
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Oh where do I even start?
Pls help me. I’m stuck on this
The value of t for the given triangle angle will be equal to 1.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given the three angles of the triangle are 111,34, and 35t. The value of t will be calculated as,
35t + 111 + 34 = 180
35t = 180 - 111 - 34
35t = 35
t = 1
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The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 27 m. Find the dimensions of the rectangle.
Answer:
4.5 m and 6 m---------------------------
Let the length be l and width be w.
Given:
l = 2w - 3,A = lw = 27.Substitute l and solve for w:
lw = 27w(2w - 3) = 272w² - 3w = 272w² - 3w - 27 = 02w² - 9w + 6w - 27 = 0w(2w - 9) + 3(2w - 9) = 0(2w - 9)(w + 3) = 02w - 9 = 0 and w + 3 = 02w = 9 and w = - 3 (discarded as distance can't be negative)w = 4.5Find the value of l:
l = 2*4.5 - 3 = 9 - 3 = 6can someone please help
Step-by-step explanation: When you divide the 2 by 9, you get like 0.222222 (and it repeats forever), then since the 2 is less than 5, you round down, so it would be 0.22 after rounding. I hoped this helped!
In the image below, is a leg of the 45-45-90 triangle.
Reason:
x and y are the legs.
[tex]5\sqrt{2}[/tex] is the hypotenuse.
The hypotenuse is always opposite the 90 degree angle.
The hypotenuse is always the longest side of any right triangle.
Solve the systems and please show all work using substitution.
The value of x = -84/17, y= 24/17 and z = 9/17
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x -2y + z= -6
x- 5z= -12
-x+ 6y + 4z = 3
Put x= -12+ 5z in equation 1 and 3
-12+ 5z - 2y + z= -6
6z - 2y = 6
3z - y= 3............(a)
and, 12 - 5z + 6y + 4z = 3
6y - z = -9.......(b)
Solving a and b we get
6(3z- 3) - z = -9
18z - 18 - z= -9
17z = 9
z= 9/17
and, y= 3(9/17) - 3 = 24/17
and, x = -12 + 120/17= -84/17
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50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!
Answer:
reflection over the y-axis
Step-by-step explanation:
Answer:
C?
Step-by-step explanation:
please have the right answers nothing wrong
The total distance walked in each case is given below;
15 feet4.5 feet6.75 feet1.5 feet1.5x feetWhat is the total distance?Jada's pet turtle walked 10 feet, and then half that length again
Total distance = 10 + (1/2 of 10)
= 10 + (1/2 × 10)
= 10 + 5
= 15 feet
Jada's pet baby brother walked 3 feet, and then half that length again
Total distance = 3 + (1/2 of 3)
= 3 + (1/2 × 3)
= 3 + 1.5
= 4.5 feet
Jada's pet hamster walked 4.5 feet, and then half that length again
Total distance = 4.5 + (1/2 × 4.5)
= 4.5 + 2.25
= 6.75 feet
Jada's pet robot walked 1 foot, and then half that length again
Total distance = 1 foot + (1/2 × 1)
= 1 + 0.5
= 1.5 feet
A person walked x feet, and then half that length again
Total distance = x + (1/2 × x)
= x + 1/2x
= 1.5x feet
In conclusion, the total distance is calculated by adding the initial distance and additional distance
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Turn 584/50 in improper fraction 
Solve the equation. .35(x+4)=.25(X-6)
Chloe runs a farm stand that sells apples and peaches. Each pound of apples sells for
$3 and each pound of peaches sells for $4. Chloe sold 3 times as many pounds of
peaches as pounds of apples and she made $240 altogether. Graphically solve a
system of equations in order to determine the number of pounds of apples sold, x,
and the number of pounds of peaches sold, y.
pls help! plot on a line
Answer:
3x+4y=240; y=3x16 pounds of apples48 pounds of peachesStep-by-step explanation:
You want a system of equations and a graphical solution for the scenario that the weight of peaches sold (y) is 3 times the weight of apples sold (x), and the revenue from sales of apples at $3/lb and peaches at $4/lb was a total of $240.
EquationsThe revenue equation can be ...
3x +4y = 240
The relation between pounds of each fruit sold can be ...
y = 3x
GraphThe graph is attached. The solution is (x, y) = (16, 48).
16 pounds of apples and 48 pounds of peaches were sold.
__
Additional comment
We note that the 3x in the first equation can be substituted by y using the second equation. This gives 5y=240, or y = 48. Then 3x=48, so x=16. This agrees with the graphical solution, as it should.
You have one type of chocolate that sells for $2.10/lb and another type of chocolate that sells for $9.90/lb. You would like to have 62.4 lbs of a chocolate mixture that sells for $2.40/lb. How much of each chocolate will you need to obtain the desired mixture?
You will need __ lbs of the cheaper chocolate and __ lbs of the expensive chocolate.
Answer:
This is a problem of weighted averages and can be solved with a system of equations.
Let's define:
- `x` as the amount (in lbs) of the cheaper chocolate,
- `y` as the amount (in lbs) of the expensive chocolate.
We can set up the following equations:
1. `x + y = 62.4` (the total amount of chocolate we want)
2. `$2.10x + $9.90y = $2.40 * 62.4` (the total cost of the chocolate mixture)
The second equation represents the total value of the chocolate, while the first represents the total weight.
We can solve this system of equations using substitution or elimination. In this case, it may be simpler to use elimination.
Let's first transform the second equation to get rid of the dollar signs:
2.10x + 9.90y = 2.40 * 62.4
2.10x + 9.90y = 149.76
Let's now multiply the first equation by 2.10 (the price per lb of the cheaper chocolate):
2.10x + 2.10y = 2.10 * 62.4
2.10x + 2.10y = 131.04
Subtracting the second equation (multiplied) from the original second equation, we get:
9.90y - 2.10y = 149.76 - 131.04
7.80y = 18.72
Solving for y, we get:
y = 18.72 / 7.80 = 2.4 lbs
Substituting y = 2.4 into the first equation:
x + 2.4 = 62.4
x = 62.4 - 2.4 = 60 lbs
So, you will need 60 lbs of the cheaper chocolate and 2.4 lbs of the expensive chocolate to obtain the desired mixture.
From 2010 to 2012, the average selling price of tablets decreased by 20%. This percent
reduction amounted in a decrease of $140. Find the average selling price of tablets in 2010
and in 2012.
In 2010, the average selling price was $, and in 2012, the average selling price was $[
Answer:
In 2010, the average selling price was $700, and in 2012, the average selling price was $560.
Points A(-6,10) and B(2,14) lie on circle O with its center at (2,4) what are the coordinates of point C, which is the midpoint of AB what is the relationship between chord AB and segment OC select the correct answer from drop down menu point C is located at chord Ab is segment OC
The coordinates of point C is (-2, 12)
The segment OC is perpendicular to the chord AB.
What is midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
Points A(-6,10) and B(2,14) lie on circle O with its center at (2,4).
C is the midpoint of the chord AB.
Now,
The coordinates of C = (x, y).
x = (-6 + 2) / 2 = -4/2 = -2
y = (10 + 14) / 2 = 24/2 = 12
(x, y ) = (-2, 12)
The relationship between chord AB and segment OC.
The segment OC is perpendicular to the chord AB.
Thus,
The coordinates of C is (-2, 12)
The relationship between segment OC and chord AB is that segment OC is perpendicular to chord AB.
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Please help I’m not sure how to do this
The proof that shows that ΔLMN ≅ ΔQPN by either SSS or SAS is explained below.
How to Prove that Two Triangles are Congruent by SAS or SSS?If we can show that two triangles have two pairs of congruent sides and a pair of corresponding congruent included angles, then we can state they are congruent triangles based on the SAS theorem.
On the other hand, if all three corresponding side lengths are congruent to each other, then the triangles are congruent by the SSS theorem.
The proof that can be used to show that the two triangles are congruent by SAS is shown below:
Statement Reasons
1. ∠L ≅ ∠Q, LM ≅ QP, 1. Given
MN ≅PN, NL ≅ NQ
2. ΔLMN ≅ ΔQPN 2. SSS
Based on the given information we are given, another way of writing this proof can be:
Statement Reasons
1. ∠L ≅ ∠Q, LM ≅ QP, 1. Given
MN ≅PN, NL ≅ NQ
2. ΔLMN ≅ ΔQPN 2. SAS
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a summer soccer cam ordered a total of 84 soccer balls and t-shirts for the season. Soccer balls cost $25 each and t-shirts cost $9.50 each. if they paid $1,046 total for the purchase, how many of each item was ordered?
The Number of Soccer Balls is 16 and the Number of T-Shirts is 68
What is Linear Equation in Two Variables?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let,
Number of Soccer Balls = x
Number of T-Shirts = y
Equation 1:
x + y = 84 -----------(i)
Equation 2:
25x + 9.5y = 1046 ----------(ii)
Multiplying Equation 1 by 25
25x + 25y = 2100 ---------(iii)
Substracting Equation2 from Equation 1
15.5y = 1054
y = 68
So, x = 16
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The graph of the line with equation Y equals 2/3 X is shown. What is the product of 2/3 and -3
Answer:
-2
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] * -3
= [tex]\frac{2}{3}[/tex] * [tex]-\frac{3}{1}[/tex]
= [tex]-\frac{6}{3}[/tex]
= [tex]-\frac{2}{1}[/tex]
= -2
Write as a mixed number & simplify, if possible. 4 1/3 divided by 3 1/6
Answer:
1 7/19
Step-by-step explanation:
First, to solve this problem, you change the mixed fraction to improper fractions:
13/3 / 19/6
Now, you make it into a multiplication problem by multiplying the first number by the reciprocal of the second number.
13/3 x 6/19
Simplify :
13/1 x 2/19
Multiply the numerators by denominators to get the total:
26/19 or simplified: 1 7/19
Given the equation cosx = x^2 prove that it has at least one root in the [0, pi] interval. Justify answer by indicating the theorem used.
1 is the root of the equation cosx = x² in the interval [0, pi]/
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given equation is cosx = x²
cosx-x²=0
y(x)=cosx-x²
y(0)=1
y(π)=-1-π²
y(π)<0<y(0) and y is continuous, there must be a value of x in [0, pi]
where
cosx−x²=0.
Hence, 1 is the root of the equation cosx = x² in the interval [0, pi].
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A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
What is the length x of a diagonal support, to the nearest tenth of a foot?
x≈_____ feet
I’ll give BRAINLIEST if correct question is in the photo
Explain how to solve the question in the photo f(x)=5x+3
To simplify 8.3-4 1/5 (6.1+1/2) which operation must be performed first? Which is second and which is third?
the answer to the expression 8.3-4 1/5 (6.1+1/2)is -19.42
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
The given expression
8.3-4 1/5 (6.1+1/2)
=8.3-4 1/5 (6.6)
=8.3-(6.6*21/5)
=-19.42
Hence the answer is -19.42
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Which statement is correct about the product of
3
2
3
and
10
9
?
Because
10
9
is greater than 1, the product of
3
2
3
and
10
9
is greater than
3
2
3
.
Because
10
9
is less than 1, the product of
3
2
3
and
10
9
is greater than
3
2
3
.
Because
10
9
is less than 1, the product of
3
2
3
and
10
9
is less than
3
2
3
.
Because
10
9
is greater than 1, the product of
3
2
3
and
10
9
is less than
3
2
3
.
option B is correct. 10/9 is greater than 1, the product of [tex]3\frac{2}{3}[/tex] and 10/9 is greater than 3 is the statement,
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We need to find the product of [tex]3\frac{2}{3}[/tex] and 10/9.
Firstly let us convert the mixed fraction [tex]3\frac{2}{3}[/tex] to the improper fraction.
11/3 is the simplified form of [tex]3\frac{2}{3}[/tex]
11/3×10/9
110/27
4.1
As we observe the 10/9 is greater than 1, the product of [tex]3\frac{2}{3}[/tex] and 10/9 is greater than 3.
Hence, the statement 10/9 is greater than 1, the product of [tex]3\frac{2}{3}[/tex] and 10/9 is greater than 3.
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