Answer:
x = 6
Step-by-step explanation:
5x - 9 = 3x + 3 ( subtract 3x from both sides )
2x - 9 = 3 ( add 9 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
3. If it costs $3.50 per pound of sliced ham at the
deli and Weylan spent $2.90, how many pounds
did he buy? Round to the nearest hundredth of a
pound.
The amount in pounds of sliced ham he can buy is 083 pounds.
How to find the number of pounds he bought?It costs $3.50 per pound of sliced ham at the deli and Weylan spent $2.90.
The number of pounds of sliced ham he bought can be calculated as follows:
Hence,
3.50 dollars = 1 pounds of sliced ham
2.90 dollars = ?
cross multiply
amount of pounds he bought = 2.90 × 1 / 3.50
amount of pounds he bought = 2.90 / 3.50
amount of pounds he bought = 0.82857142857
amount of pounds he bought = 0.83 pounds
Therefore, the amount of pounds bought to the nearest hundredth is 0.83 pounds.
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In a class of 25 students, 13 are female and 15 have an A in the class. There are 10 students who are female and have an A in the class. What is the probability that a student has an A given that the student is female?
Step-by-step explanation:
a probability is always
desired cases / totally possible cases
25 students in total.
13 are female. therefore, 25-13 = 12 students are male.
15 students have an A.
10 students are female and have an A.
therefore, 15-10 = 5 male students have an A.
"given that a student is female".
this reduces our totally possible cases to 13.
so, the probability that a female student has an A is
10/13 = 0.769230769...
1) Work out the area and the perimeter of the shape below.
10 cm
12 cm
4 cm
Diagram NOT
accurately dr
Answer: 10 cm
Step-by-step explanation: because i am alwauys right about your mom
How to draw two equilateral triangles that are not congruent
No, it is not feasible to produce any two structuring elements that is not always congruent with one another. This is because equilateral triangles have no internal angles.
This is further explained below.
What is an equilateral triangle?Generally, In the field of geometry, a triangle is said to be equilateral if all three of its sides have the same length.
In the well-known geometry of Euclidean, an equilateral triangle is also an equiangular triangle. This means that all three of the triangle's interior angles are equivalent to each other and are each 60 degrees.
No, it is not possible to create any two equilateral triangles that are not always congruent with one another.
In conclusion, The logic for this is that while each angle in an equilateral triangle is 60 degrees, the sides of the triangle cannot always be identical.
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The relationship between the number of $4 lunches you buy with a $105 school lunch card and the money remaining on the card
The relationship will be a solid line.
How many $4 meals you may purchase with a $100 school lunch card and how much money is still on the card.
Given that the slope is common and linear, the connection will be a solid line. The balance on the card will drop by $5 each time you purchase lunch.
Let x be the amount of lunches you purchase.
Let the balance on the card be = y.
Equation then becomes:
y= 105-4x
when x=1
y = 105 - 4(1) = 101
when x= 2
y= 105 - 4(2) = 97
when x=3
y= 105 - 4(3) = 93
We can see that the decline is gradual and same.
On the graph that is provided, you can also observe that a straight line is created.
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how does x equal y in three dimesional math
Step-by-step explanation:
in 3-dimensional math we have 3 dimensions, and not just 2.
we have
forwards - backwards
left- right
up- down
so, we have there x, y and z.
and the equations typically are
z = ax + by
or even more general
cz = ax + by
or more complex functions of x and y.
z = f(x, y).
I am not sure what else you could mean with that question.
What is equivalent to 0.325 in as a fraction
Answer:
0.325 as a fraction is expressed as 13/40
Step-by-step explanation:
What is a fraction ?
A fraction is a portion of any quantity out of a whole. It consists of a numerator and a denominator.
To convert a decimal number into a fraction, we write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. Then, this fraction can be simplified.
In this case, 0.325 has three numbers after the decimal, so, we place 1000 in the denominator and remove the decimal point.
⇒ 325/1000
After reducing this fraction we get,
⇒ (325 ÷ 25) / (1000 ÷ 25) = 13/40
So, 0.325 as a fraction is 13/40.
(Hi fyi this answer took a lot of time & effort to make sure it was accurate, precise and to the point to be produced, so if you could opt this answer as the brainliest it would mean the world to me,)
Stay positive and Take care,
A fellow mate,
Cheers !
Please help me with this question, if it’s wrong I will report you, thank you for your help!
IN THE ATTACHED PICTURE YOU CAN SEE THE YELLOW VERTICAL LINE TOUCHED THE GRAPH ONCE IT MEANS THE GRAPH ABOVE IS A FUNCTION.
THEREFORE THE LAST OPTION IS THE SOLUTION. THE GRAPH IS A FUNCTION BECAUSE IT PASSES THE VERTICAL LINE TEST .
HOPE THIS HELPS
Please only answer : The horizontal scale should be X-scale and The vertical scale should be Y-scale
Regarding the scales to plot the points on the table, we have that:
The horizontal goes from X-min = -7 to X-max = 6.The horizontal scale should be X-scale = 1.The vertical goes from Y-min = -1500 to Y-max = 1200.The vertical scale should be Y-scale = 200.What are the ideal scales for the graphs?To find the ideal scales, we have to verify which are the extrema values of each variable, that is, the minimum and maximum value of each x and y.
From the table, the minimum and maximum values of X are given as follows:
X-min = -7.X-max = 6.This is a small range of values, hence the horizontal scale should be of 1.
From the same table, second column, the minimum and maximum values of Y are given as follows:
Y-min: -1500.Y-max: 1200.This is a large range of values, hence an ideal vertical scale is of 200, as then the number of traces would be almost the same as the number of traces of x.
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the value of y is directly proportional to the value of x. when x = 20, the value of y = 16/5. the value of y is incline choice 1 when x = 50 incline choice 1:
1. 312.5
2. 1160
3. 3
4. 3200
Since y is directly proportional to x then the value of y is 8
In a proportional relationship, one variable is always equal to the constant value of the other.
The "constant of proportionality" is the name of this constant.The ratio between the constant values of two proportional quantities is known as the proportionality constant.When the ratio or product of two fluctuating values results in a constant, we say that two values are in proportion.The Direct Variation and Inverse Variation types of proportions between the two provided values determine the value of the proportionality constant.It is clear that y increases in proportion to x by applying the direct proportionality formula, y = kx.
Given y is directly proportional to x.
Therefore y = kx
now at x = 20 , y = 16/5
∴16/5 = 20 k
or, k = 16 /100
Now at x = 50 ,
Y = 16 /100 × 50
or, y = 8
Therefore that value of y is 8.
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Find the surface area and volume of the following solids , a cylinder with radius 5 m and height 0.5 m
The radius of the cylinder is 5 m and the height is 0.5 m.
Then, the total surface area is
[tex]\begin{gathered} A=2\pi r(r+h) \\ =2\pi(5)(5+0.5) \\ =55\pi\text{ squared meter} \end{gathered}[/tex]So, the surface area is
[tex]55\pi=172.79\text{ squared meter}[/tex]Now, the volume is
[tex]\begin{gathered} V=\pi(r^2)h \\ =\pi(5)^2(0.5) \\ =39.27\text{ cubic meter} \end{gathered}[/tex]So, the volume of the cylinder is 39.27 cubic meters.
What is the slope of the line that passes through the points (10, 8) and
(7, 14)? Write your answer in simplest form.
Answer:
Formula for slope is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2).
Slope of line = (14-8)÷(7-10)
= 6÷(-3)
= -2
What is the probability of
spinning an A?
B B
A
B
A
[?]%
Answer:
I believe you have a 25% of spinning an A
Step-by-step explanation:
If there are two possible A's to land on and there are 8 different choices,
2/8 = 1/4 and 1/4 is equal to 25%
So the probability would be "not likely"
Hope this helps! Please have an amazing day! :)
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer in simplest form. ( wouldn't allow me to insert full picture. will message it to you.)
To find the scale factor, we just have to divide
[tex]\frac{8}{20}=\frac{2}{5}[/tex]Hence, the scale factor is 2/5.Determine whether the given function is even, odd or neither. *(1 Point)f(x) = x3 - 2x
Given:
The function is,
[tex]f(x)=x^3-2x[/tex]Replace x by -x in the given function,
[tex]\begin{gathered} f(x)=x^3-2x \\ f(-x)=(-x)^3-2(-x) \\ =-x^3+2x \\ =-(x^3-2x) \\ =-f(x) \end{gathered}[/tex]It is observed that, when the x is replace by -x the function end up with exactly opposite of the given function.
Thus, the given function is odd.
Question content area top Part 1 The temperature in a town is 31.6 during the day and -17.2 at night. Find the difference in the temperatures.
Answer: The difference in temperature is 45.9F.
Provide the missing reasons for the following proof:
(In the picture)
Options
- Transitive Property of
Congruence
- Subtraction Property of
Equality
- Vertical Angles Theorem
(VAT)
- Division Property of
Equality
- Given
- Angle Congruence
Postulate
- Substitution Property of
Equality
The missing reasons are for the given two triangles VXW and VYZ are found.
What is defined as the congruent triangles?The assessments of the sides and angles of two or so more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. Two triangles have been shown to be congruent if the pairs of their corresponding angles and sides are equal. They are the same size and shape.The missing reasons for the following proof are -
∠XVW ≅ ∠W ; - Given∠XVW ≅ ∠ZVY ; Vertical Angles Theorem (VAT)m ∠ZVY ≅ ∠W ; Transitive Property of Congruence80x + 13 = 75x + 28 ; Angle Congruence Postulate5x = 15 ; Substitution Property of Equalityx = 3 ; Division Property of EqualityThus, the missing reasons are for the given two triangles VXW and VYZ are found.
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Which postulate could we use to prove that the angles
The postulate that could be used is the: linear pair postulate.
What is the Linear pair Postulate?If two angles share a common side and also a common vertex lie on a straight line, they both form a special angle relationship that is called the linear pair.
Based on the linear pair postulate, it is proven that angles that form a linear pair add up to 180 degrees and are therefore regarded as supplementary.
Angle CAD and angle CAB have a common side, side CA, and a common vertex, angle A. They are also on the straight line, line AB.
Thus, it can be proved that the angles CAB and CAD are supplementary based on the linear pair postulate.
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-3x+14-11+11x I tried getting help with this question and it didn’t give me enough information to fully understand.
Answer:
0.375
Step-by-step explanation:
-3x+14-11+11x
-3x+11x = 8x
14-11 = 3
8x=3
÷8 on both sides
HELPHELPHELPHELP plssssssssssssssssssssssss
Solve {2c+8}={10c} . Answer in simplest fraction form.
Answer: c=1
Step-by-step explanation:
Move the variable to the left side
2c+8−10c=0
Subtract the terms
−8c+8=0
Move the constant to the right side
−8c=0−8
Subtract the terms
−8c=−8
Divide both sides
−8c = −8
−8 -8
Simplify
100 times my number is 12.6 more than 5,000.
Answer:
50.126
Step-by-step explanation:
hope this helps
The solution is 50.126
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.
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 data ,
100 times my number is 12.6 more than 5000
Let the number be x
100 times the number = 100x
Now, 100x is 12.6 more than 5000
100x = 5000 + 12.6
100x = 5012.6
Divide by 100 on both sides , we get
x = 50.126
Hence , the solution is 50.126
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we know that on average the time it takes to complete a homework assignment is 2.3 hours with a standard deviation of .5 hours. with 13 students in the class, the average to complete the homework was 1.5 hours. what is the percentile of this class
In standard deviation, 120 is the percentile of this class.
Why is there a standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.Test statistic (z) = (weekly study time - average study time)/standard deviation
weekly study time = 2.3 hours
average study time = .5 hours
standard deviation = 1.5 hours
z = (2.3 - 0.5)/1.5
= 1.8/1.5 = 1.2 (to 2 decimal places)
Cumulative area of the test statistic is 1.2
Percentile = 1.2×100 = 120
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What is the slope of the line that passes through the points (7,-6) and (6, -6)
Write your answer in simplest form
Answer:
slope = 0
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, - 6 ) and (x₂, y₂ ) = (6, - 6 )
m = [tex]\frac{-6-(-6)}{6-7}[/tex] = [tex]\frac{-6+6}{-1}[/tex] = [tex]\frac{0}{-1}[/tex] = 0
help please
What is the correct way to break 12 into parts and multiply each part by 6?
Answer:
2nd one
Step-by-step explanation:
Hope I helped!
3/4 + 1/3 as a fraction
Answer:
Step-by-step explanation:
Answer:1 1/12
Step-by-step explanation: 3/4+1/3=13/12=1 1/12
Sandra Keegan worked 38 hours at $12.95 per hour and 6 hours of overtime at time and a half what was her pay for the week?
Answer:
$569.80
Step-by-step explanation:
She worked $12.95 per hour for 6 hours of overtime, meaning we would multiply $12.95 by 6 which is equal to $77.70, since she worked for 38 hours that week, we would multiply $12.95 by 38 which is $492.10, so now we add how much she earned for the total. Her overtime pay was $77.70 + her regular pay was $492.10 which adds up to $569.80
line has an x-intercept of -5 and a y-intercept of 3. Use this information for questions
8 through 10.
8.
Find the slope of the line.
9. Write the equation of the line in slope-intercept form.
10. Write the equation of the line in standard form.
Answer:
[tex](1)\;\;\;\text{Slope }= \dfrac{3}{5}\\[/tex]
(2) Equation of line in slope-intercept form is
[tex]y = \dfrac{3}{5}x + 3[/tex]
(3) Equation of line in standard form is:
[tex]5y - 3x = 15[/tex]
Step-by-step explanation:
Equation of a line in slope-intercept form is
y = mx + b
where m = slope and b = y-intercept
Slope = [tex]\dfrac{y2 - y1}{x2-x1}[/tex]
where (x1, y1) and (x2, y2) are two points on the line.
y2 - y1 is known as the rise
x2 - x1 is known as the run
Slope is also defined as rise/run
We are given x-intercept = -5.
The ex-intercept is the point at which the line crosses the x-axis. At this point the y-value = 0.
So we get one of the points (-5, 0)
We are given y-intercept = 3
The y-intercept is the point at which the line crosses the y-axis. At this point the x-value is 0
So another point on the line is (0, 3)
Knowing this we can compute rise and run
rise = y2 - y1 = 3 - 0 = 3
run = x2 - x1 = 0 - (-5) = 0+5 = 5
[tex](1)\;\;\;\text{Slope = $\dfrac{3}{5}$}[/tex]
(2) Equation is
y = mx + b where m = slope and b = y-intercept
Slope = 3/5 from (1) and y-intercept = 3
So equation of line in slope-intercept form is
[tex]y = \dfrac{3}{5}x + 3[/tex]
(3) Equation in standard form
In (2) subtract (3/5)x from both sides.
[tex]y - \dfrac{3}{5}x = 3[/tex]
We can multiply both sides by 5 to get
[tex]5(y - \dfrac{3}{5}x )= 5 \times 3\\\\= 5y - 3x = 15[/tex]
if 2 x 2 whats the divided by -3 to 4
Answer:its 2
Step-by-step explanation:
MANUFACTURING At a factory, molten glass is poured into molds to make
paperweights. Each mold is a rectangular prism with a height 4 inches
greater than the length of each side of its square base. Each mold holds
63 cubic inches of molten glass. What are the dimensions of the mold?
The dimensions of the mold are a length and width of 3 inches and a height of 7 inches.
What is the volume of a rectangular prism?The volume of a rectangular prism is the space that it contains. We know that the volume of any prism is calculated by multiplying its base area by its height.
Given :
Let's assume that the length and the width of the "box" is x.
It is said that the height is 4 inches greater, so the height is x+4.
The volume of the mold is:
V = (x)(x)(x +4)
V = x²(x +4 ) using the Distributive Property.
V = x³ + 4x²
Since from the question we have Volume = 63 cubic inches
The equation we have is,
63 = x³ + 4x²
Subtracting 63 from both sides of the equation,
x³ + 4x²- 63 = 0
The cubic equation can be written as,
(x−3)(x²+7x+21) = 0
The solution of the quadratic equation (x²+7x+21) is,
x = -b ±√(b² - 4ac) / 2a
a = 1 , b =7 and c = 21
Substituting the values in the formula,
x = -7 ±√(7² - 4(1(21)) / 2(1)
x = -7 ±√-35 / 2
Hence,there are no real solutions to the quadratic equation.
There is only one real solution to the equation x = 3.
Therefore, the length and width of the rectangular prism are 3 inches and the height is x+4 = 3+4 = 7 inches.
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