Which of the following is equivalent to 3/8 A) 0.3 B) 0.45 C) 0.6 D) 0.375
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given fraction
[tex]\frac{3}{8}[/tex]STEP 2: Convert to decimal
[tex]\frac{3}{8}=0.375[/tex]Hence, the equivalent is 0.375
Related Questions
a $25$ foot ladder is resting against a wall so that the bottom of the ladder is $7$ feet from the wall. the bottom of the ladder starts slipping away from the wall at a rate of $1$ foot per second. how many feet per second is the top of the ladder sliding down the wall when it is $15$ feet above the ground?
Answers
The bottom of a 25 feet ladder is propped up against a wall, which is 7 feet away. When the ladder is 15 feet above the ground, 23.3 feet per second is the top of the ladder falling down the wall.
Given that,
The bottom of a 25 feet ladder is propped up against a wall, which is 7 feet away. A feet per second of the ladder's bottom begins to slide away from the wall.
We have to find when the ladder is 15 feet above the ground, how many feet per second is the top of the ladder falling down the wall.
Let us take x = height where the ladder hits the building
7 squared + x squared=25 squared
49+x squared=625
x squared=576
x=24 feet
Now,
If it slips 15 feet that 24-15=9 feet
Let x = distance from wall:
x² + 9² = 25²
x² + 81= 625
x² = 544
x = 23.3 feet
Therefore, when the ladder is 15 feet above the ground, 23.3 feet per second is the top of the ladder falling down the wall.
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Complete the flow proof of the converse of the corresponding angles theorem. Fill in the blanks.
Answers
When two lines and a transversal form comparable angles that are congruent, the lines are parallel, which is the converse of the corresponding angles theorem's flow proof. Which means that line c ║ to line d.
What are perpendicular lines?The two different lines that meet at an angle of 90 degrees are called perpendicular lines. Do your walls' connecting corners—or the letter "L"—share any similarities? They are the straight lines, referred to as perpendicular lines, that intersect at the proper angle. An angle of 90 degrees between two straight lines is known as a perpendicular. The illustration depicts a little square in between two perpendicular lines to indicate the 90° angle, which is also known as a right angle. Here, a right angle between the two lines Two lines that cross each other at a 90° angle are referred to as perpendicular lines in mathematics. I
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Reflect the figure over the line y = 1. Plot all of the points of the reflected figure. You may click a plotted point to delete it.
Answers
Answer:
Step-by-step explanation:
27. A table and five chairs cost $3500. The cost of three chairs is $1050. What is the cost of a table if all the chairs cost the same price?
Answers
write the answer in standard form(-3x^4 + x^6 – 9x^5+ 2x^2– 7) + (-2x^5 + x - 4x^2– x^4 + 12)
Answers
Simplify the expression and express in standard form.
[tex]\begin{gathered} (-3x^4+x^6-9x^5+2x^2-7)+(-2x^5+x-4x^2-x^4+12) \\ =-3x^4+x^6-9x^5+2x^2-7-2x^5+x-4x^2-x^4+12 \\ =x^6-11x^5-4x^4-2x^2+x+5 \end{gathered}[/tex]So answer is,
[tex]x^6-11x^5-4x^4-2x^2+x+5[/tex]David has a wooden board that is 6 feet long. how many pieces can be cut from the board if the length of each piece is 1/3 of a foot
Answers
total length = 6 ft
length of the piece = 1/3
[tex]\text{Number of pieces = 6 / }\frac{1}{3}\text{ = }\frac{\frac{6}{1}}{\frac{1}{3}}\text{ = }\frac{6x\text{ 3}}{1\text{ x 1}}=\text{ }\frac{18}{1}\text{ = 18}[/tex]There will be 18 pieces
My penMath The area of a triangle can be found using the formula: Area = 1/2 · base · height. Find the area of the triangle pictured below, where the measurements are given in meters (m) 2 m 10 m
Answers
Answer:
The area of the given triangle is 10 sq meters
Explanation:
The area of a triangle is given by the formula:
Area = 1/2 base . height
Given that the triangle has base = 10m, and height = 2m
Area = 1/2 * 10 * 2
= 10 square meters
what is the formula to find the circumference of a circle?
Answers
Answer:
C = 2 \pi r
Step-by-step explanation:
O is the center of the regular decagon below. Find its perimeter. Round to the nearest
tenth if necessary.
16
Answers
Answer:
Step-by-step explanation:
The perimeter of the given polygon rounded to the nearest tenth is; 24.7
What is the perimeter of the Polygon?
The given polygon as we can see has 10 sides.
Now, when we draw a line from the center to the next vertex to the left of the one currently having a line, we will see that the angle can be calculated as; 360/10 = 36° because sum of exterior angles of a polygon sums up to 360°.
Thus, the other two angles will be; (180 - 36)/2 = 72° each
Using sine rule, we can find the length of a side of the polygon as;
x/sin 36 = 4/sin 72
x = (4 * sin 36)/sin 72
x = 2.472
Thus, perimeter = 2.472 * 10 = 24.72 ≈ 24.7
Find the area.
a.1604 ft
b.2600 ft
c.2160 ft
d.2180 ft
Answers
Answer:
d.2180
Step-by-step explanation:
add the two sides and subtract that one number on top I believe
24, 10:33:13
If f(x) = 4x4 - 3x² + 4, then what is the remainder when f(x) is divided by
x + 3?
Answers
Answer:Given : f(x)=x
4
−3x
2
+4
f(2)=(2)
4
−3(2)
2
+4
=16−12+4=8
This can also be verified by the actual divison
for rayleigh winds with an average wind speed of 8 m/s: a. how many hours per year do the winds blow at less than 13 m/s? (5') b. how many hours per year are wind speeds above 25 m/s? (5')
Answers
A. 7658.8 hr/year
B. 4.082 hr/year
C. 99206 kwh
Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.
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Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle ha length 3/8 and width of 3in. Detriment wether the dimensions of each rectangle described as a proportional to the dimensions of tailors first rectangle
Answers
By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:
No, a length of 6 in, width 3/4 in. is not proportional.Yes, a length of 1/2 in, width 4 in. is not proportional.No, a length of 1 1/8 in, width 9 in. is not proportional.No, a length of 3 in, width 5 5/8 in. is not proportional.What is a direct proportion?Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:
y = kx
Where:
y and x are the variables or dimensions.k represents the constant of proportionality.For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.
Next, we would determine the constant of proportionality (k) as follows:
k = y/x
k = (3/8)/3
k = 3/24
k = 1/8
For dimension 1, we have:
k = y/x
k = (6)/(3/4)
k = 24/3
k = 8 (No).
For dimension 2, we have:
k = y/x
k = (1/2)/4
k = 1/2 × 1/4
k = 1/8 (Yes).
For dimension 3, we have:
k = y/x
k = (1 1/8)/9
k = (9/8)/8
k = 9/8 × 1/8
k = 9/64 (No).
For dimension 4, we have:
k = y/x
k = (3)/(5 5/8)
k = 3/(45/8)
k = 3 × 8/45
k = 24/45 (No).
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Complete Question:
Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.
A boat can travel 228 miles on 19
gallons of gasoline. How much gasoline
will it need to go 48 miles?
Round the answer to two decimal digits
Answers
Answer: 4 gallons
Step-by-step explanation:
The boat can travel 228 miles on 19 gallons of gasoline. We can divide 228 by 19 to find out how many miles the boat can travel on 1 gallon of gasoline, which is 12. For the boat to go 48 miles, we can divide 48 by 12 to get the answer, which is 4. The boat can travel 48 miles with 4 gallons of gasoline.
the altitude of an airplane is decreasing at a rate of 45 feet per second what si the change in altitude of the airplane over a period of 34 seconds
a -1,530
b 79
c -79
d 1530
Answers
Answer:
Step-by-step explanation:
d that the answer pls mark me brianlest
Ruth is a costume designer for the local children's theater company. Yesterday, she sewed 1 female costume and 5 male costumes, which used 52 yards of fabric. Today, she sewed 5 female costumes and 2 male costumes, which used a total of 76 yards. How many yards of fabric does each type of costume require? yards of fabric, and every male costume requires Each female costume requires yards.
Answers
Given:
Yesterday:
1 female and 5 male = 52 yards
Today:
5 female and 2 male = 76 yards
Let's find the number of yards of fabric each type of costume requires.
Let F represent the number if yards for each female customer use.
Let M represent the number of yards each male customer uses.
From this situation, we have the system of equations:
1F + 5M = 52
5F + 2M = 76
Now, let's solve the system of equations simultaneously using substitution method.
Rewrite equation 1 for F:
F = 52 - 5M
Substitute 52 - 5M for F in equation 2:
[tex]\begin{gathered} 5F+2M=76 \\ \\ 5(52-5M)+2M=76 \\ \\ 5(52)+5(-5M)+2M=76 \\ \\ 260-25M+2M=76 \\ \\ 260-23M=76 \end{gathered}[/tex]Subtract 260 from both sides:
[tex]\begin{gathered} 260-260-23M=76-260 \\ \\ -23M=-184 \end{gathered}[/tex]Divide both sides by -23:
[tex]\begin{gathered} \frac{-23M}{-23}=\frac{-184}{-23} \\ \\ M=8 \end{gathered}[/tex]Substitute 8 for M in either of the equations:
F = 52 - 5M
F = 52 - 5(8)
F = 52 - 40
F = 12
Therefore, we have the solution:
F = 12, M = 8
Each male customer requires 8 yards while each female customer requires 12 yards.
ANSWER:
• Male customer = 8 yards
,• Female customer = 12 yards
two functions are given below: f(x) and h(x). state the axis of symmetry for each function and explain how to find it
HELP ME PLEASE
Answers
The axis of symmetry for function
f(x) is x = 8 and for h(x) is x = 3.
We know that the quadratic equation in vertex form is, y = a (x - m)² + n
where (m, n) is the vertex of the parabola.
And, the axis of symmetry is x = m.
Consider function f(x)
f(x) = -4(x - 8)² + 3
This function represents a quadratic equation in vertex form with vertex (8, 3)
So, the axis of symmetry for function f(x) would be x = 8
We know that the axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetrical.
Consider the function h(x)
We can observe that the vertex of parabola is (3, 2)
So, the axis of symmetry would be x = 3.
Therefore, the axis of symmetry for function
f(x) is x = 8 and for h(x) is x = 3.
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Need help with #6 don’t know how to find truth values.
Answers
The statement p is: Saturn is a planet.
The statement q is: Hong Kong is a city.
Now the first part of our composite proposition is:
[tex]p\lor\sim q[/tex]This means that we have to negate the statement q, this would be: Hong Kong is not a city.
Now we make the disjunction between the statement p and the negation of q, then we have:
[tex]p\lor\sim q\text{ means: Saturn is a planet or Hong Kong is not a city}[/tex]The second part of our composite porposition is:
[tex]\sim p\wedge q[/tex]This means that we have to negate the statement p, then we have: Saturn is not a planet. Then we make the conjunction between the negation of p and q, then we have:
[tex]\sim p\wedge q\text{ means: Saturn is not a planet and Hong Kong is a city}[/tex]Finally we make the disjunction between the statements discussed so far, hence the statament
[tex](p\lor\sim q)\lor(\sim p\wedge q)[/tex]means:
Saturs is a planet or Hon kong is not a city OR Saturn is not a planet and Hong Kong is not a city.
Now, to determine the truth value of the composite proposition we have to remember that a disjunction is TRUE if one of the statements that make it is true and that the conjunction is TRUE only if both stataments that make it are true.
The first statement is: Saturn is a planet or Hong kong is not a city. Since this is a disjunction and the statement Saturn is a planet is TRUE, then the proposition is true.
The second statement is: Saturn is not a planet and Hong Kong is not a city. Since this is a conjunction and the statement Saturs is not a planet is FALSE, the the second statement is FALSE.
Now since the composite statemtent is made of a TRUE and a FALSE statement and it is a disjunction we conclude that the truth value of the statement given is TRUE.
PLSSSSSSSSS HELP DUE SOON!!!
Answers
Answer:
option 4
Step-by-step explanation:
let c represent the old amount , then twice the old amount is 2c.
1.5 less than twice the old amount is 2c - 1.5 , so
2c - 5 = 6
What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly describe the end behavior of the function. f(x)=6x9−6x4−6 f(x)=−3x4−6x+4x−5
As x→−∞
As x→∞
Answers
The end behavior of the polynomial function is as shown in the attached picture.
What is polynomial function?Polynomial functions refers to equation that consists of variables that have non negative exponents or powers. The when there is only one term in the equation it is referred to as monomial
What is end behavior of polynomial function?The end behavior refers to the behavior of the function at the extremes of the x direction.
The end behavior of a polynomial function is controlled by the term that has the leading terms
In the given question,
The first question has 6x^9 as the term that controls the end behavior hence substituting the -∞ and +∞ gives the end behavior as attachedSimilarly, the second function has -3x^4 as the leading term substituting the -∞ and +∞ gives the end behavior as attachedLearn more on end behavior at: https://brainly.com/question/1365136
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Write an inequality, in slope-intercept form, for the graph below. If necessary,use "<=" for sor">=" for >.5(-3,0)5(0, -3)
Answers
we need to find the line equation for the dashed line. Since we have 2 points of the line, its slope is
[tex]\begin{gathered} m=\frac{-3-0}{0-(-3)} \\ m=\frac{-3}{3} \\ m=-1 \end{gathered}[/tex]where we used the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Then, our searched line has the form:
[tex]y=-x+b[/tex]where b is the y-intercept. We can finde b by substituting point (0,-3) into the last equation:
[tex]\begin{gathered} -3=-(0)+b \\ b=-3 \end{gathered}[/tex]then, the searched line in slope-intercept form is
[tex]y=-x-3[/tex]Therfore, the given area can be modeled as
[tex]y>-x-3[/tex]because when a line is dashed it doesn't belong to the given area.
A test is worth 100 pts. Each problem is worth either 2 or 5 pts. The number of 5 pt problems is 22 less than 2pt problems. How many problems of each type are on the test
Answers
The number of two pt problems are 30 and 5 pt problems are 8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x= one type of question
Let x-22= the other type of questions
100=2x+5(x-22) Distribute
100=2x+5x-110
100=7x-110
100+110=7x
210=7x
Divide both sides by 7
one type 30=x
second type 30-22=8
Hence the number of two pt problems are 30 and 5 pt problems are 8.
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Emily is designing a t-shirt logo for her company. The t-shirt printing company offers 11 colors to choose from for the logo design. If any number of colors can be chosen, how many different color combinations are possible?
Answers
39,916,800 color combinations are possible
Here, we want to get the possible number of color combinations possible.
Since any number of colors can be chosen, there are no restrictions here
That means the number of possible color combinations will be;
11! = 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 39,916,800 color combinations
Paul bought 1 7/8 m of fabric to make a shirt, while Rita bought 1 3/4 m to make her shirt. How much MORE fabric did Paula buy then Rita?
Answers
Fabric bought by Paul and Rita to make a shirt was 1 7/8 m and 1 3/4 m respectively , Paul bought 1/8 m more than Rita.
As given in the question,
Length of fabric bought by Paul to make his shirt = 1 7/8 m
Length of fabric bought by Rita to make his shirt = 1 3/4 m
Convert length of fabric into proper fraction
Paul fabric = 1 7/8 m
= 15 /8 m
Rita fabric = 1 3/4 m
= 7 /4 m
Length of Paul fabric more than Rita
Length of more fabric bought by Paul than Rita = (15 /8) - ( 7/4)
= (15/8) - (14/8)
= 1/8 m
Therefore, fabric bought by Paul and Rita to make a shirt was 1 7/8 m and 1 3/4 m respectively , Paul bought 1/8 m more than Rita.
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The coordinates of rhombus abcd are a(-4,-2) b(-2,6) c(6,8) d(4,0). What is the area of the rhombus
Answers
First, graph the rhombus:
Area of a rhombus = Product of diagonals / 2
Find the length of the diagonals:
Distance between points:
[tex]\sqrt[\placeholder{⬚}]{(x2-x1)^2+(y2-y1)2^}[/tex]Diagonal AC
[tex]AC=\sqrt[\placeholder{⬚}]{(6-(-4))^2+(8-(-2))^2}[/tex]AC= 10√2
Diagonal BD
[tex]BD=\sqrt[\placeholder{⬚}]{(4-(-2))^2+(0-6)^{^2}}[/tex]BD=6√2
Area= AC x BD / 2
Area = [(10√2) x (6√2)]/2
Area = 60
Solve the unequality
10 is greater than X over six
Answers
Answer:
x25 - 24.1x square would be your answer
Step-by-step explanation:
Under his cell phone plan, Rahul pays a flat cost of $36 per month and $4 per
gigabyte. He wants to keep his bill under $95 per month. Which inequality
can be used to determine g, the maximum number of gigabytes Rahul can use
while staying within his budget?
Answers
The inequality of the function is 36 + 4x < 95 and Rahul can use 14 gigabyte while staying within his budget
How to determine the inequality of the function?The given parameters are:
Flat cost = $36 per monthRate per gigabyte = $4 per gigabyteRahul's bill = Under $95The above means that;
The total charges per month is
C(x) = Flat cost + Rate per gigabyte x Number of gigabyte
So, we have
C(x) = 36 + 4x
For the bill to be under $95, we have
36 + 4x < 95
Solving further, we have
4x > 59
Divide by 4
x < 14.75
Hence, the inequality is 36 + 4x < 95
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Solve for m/UVX.
Answer: m/UV X =
O
72°
42°
Submit Answer
Answers
The measure of angle UVX is 30°
What is an angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. The arc is centered at the vertex and defined by the sides in the case of a geometric angle.
Given, measure of angle UVW = 72°
measure of angle XVW = 42°
So, the measure of angle UVX = 72° - 42° = 30°
Hence, the measure of angle UVX is 30°
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thanks in advance for the help
Answers
a. The decrease road line verified by given function while increase in the highway The function representing the railroad miles has a negative slope, indicating a decrease. The function representing the highway miles has a positive slope, indicating an increase.
b. It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.
Given
The function y =-1518x + 144.068 represents the railroad miles.
While the function y =-360.5x + 155.18models the number of highway miles.
For each function, x is the number of years after 1995.
The year in which it is estimated that the number of the country's railroad miles and the number of the country's highway miles were the same.
Therefore,
-1518x + 144.068= -360.5x + 155.18
-1518x+360.5x = 155.18-144.068
1157.5x = 11.112
x = 9
Then,
1995 - 9 = 1986
It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.
What are miles?A mile, sometimes an international mile or base mile to distinguish it from other miles, is an imperial unit in the United Kingdom and a standard unit of distance in the United States. both are based on the older English unit of length, which is 5280 English feet or 1760 yards. The legal mile was standardized by an international agreement between the Commonwealth of Great Britain and the United States in 1959, when it was officially redefined in SI units to exactly 1609.3 meters.
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Graph the solution to the following system of inequalities. Don’t forget to answer the point in the solution set.
Answers
Given the following System of Inequalities:
[tex]\begin{cases}7x+4y<16 \\ -5x+4y\ge12\end{cases}[/tex]You need to remember that the Slope-Intercept form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope and "b" is the y-intercept.
The steps to graph the System of Inequalities are:
1. In this case, you know that the first line is:
[tex]7x+4y=16[/tex]So you need to solve for "y" in order to write it in Slope-Intercept form:
[tex]\begin{gathered} 4y=-7x+16 \\ \\ y=\frac{-7}{4}x+\frac{16}{4} \\ \\ y=-\frac{7}{4}x+4 \end{gathered}[/tex]You can identify that the y-intercept is:
[tex]b_1=4[/tex]2. Since the value of "y" is zero when the line intersects the x-axis, you can substitute that value into the equation and solve for "x", in order to find the x-intercept:
[tex]\begin{gathered} 7x+4y=16 \\ 7x+4(0)=16 \\ 7x=16 \\ \\ x=\frac{16}{7}\approx2.286 \end{gathered}[/tex]3. Now you know that the first line passes through these points:
[tex](0,4);(2.286,0)[/tex]4. The second line is:
[tex]-5x+4y=12[/tex]So you can solve for "y" in order to write it in Slope-Intercept form:
[tex]\begin{gathered} 4y=5x+12 \\ \\ y=\frac{5}{4}x+\frac{12}{4} \\ \\ y=\frac{5}{4}x+3 \end{gathered}[/tex]Notice that the y-intercept is:
[tex]b_2=3[/tex]5. Knowing that "y" is zero when the line intersects the x-axis, you can substitute that value into the equation of the second line and solve for "x" to find the x-intercept:
[tex]\begin{gathered} -5x+4y=12 \\ -5x+4(0)=12 \\ -5x=12 \\ \\ x=\frac{12}{-5} \\ \\ x=-2.4 \end{gathered}[/tex]