Answer:
[tex] \huge \boxed{ \bold{2.375}}[/tex]Step-by-step explanation:
[tex] \mathsf{2 \frac{3}{8} }[/tex]
Convert mixed fraction to improper fraction
⇒[tex] \mathsf{ \frac{2 \times 8 + 3}{8} }[/tex]
⇒[tex] \mathsf{ \frac{16 + 3}{8} }[/tex]
⇒[tex] \mathsf{ \frac{19}{8}} [/tex]
Calculate
⇒[tex] \mathsf{2.375}[/tex]
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How to convert mixed fraction into improper fraction?
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A book sold 35,300 copies in its first month of release. Suppose this represents 6.3 of the numbers sold to date. How many copies have been sold to date?
Answer:
560,317.460
Step-by-step explanation:
The computation of copies that have been sold is shown below:-
we assume the number of copies is x
So, the number of copies in the first month is
= [tex]\frac{6.3}{100} x[/tex]
As per the situation the number of sold copies is 35,300 so the equation will be
[tex]\frac{6.3}{100} x = 35,300[/tex]
[tex]6.3x = 35,300\times 100[/tex]
[tex]x = \frac{35,300\times 100}{6.3}[/tex]
after solving the above equation we will get the number of copied that have been sold to date
= 560,317.460
In an interview last month, the rebels estimated that a few hundred of their fighters had been trained over the past two years, and they received close to two million dollars worth of ammunition, guns, and heavy artillery during the same time period.
A) had been trained over the past two years, and they
B) were trained over the past two years, and they had
C) were trained over the past two years and they have
D) had been trained over the past two years and that they had
E) had been trained over the past two years and that they have
Answer:
D) had been trained over the past two years and that they had
Step-by-step explanation:
In the context, the sentence speaks of something that happened in the past, so 'had been' is required and also it speaks of parallelism of events, as an estimation is being made so, parallelism should be maintained.
Hence, option (D) satisfies the two requirements. And eliminate option A, B, C and E.
Thus, (D) is correct.
A shop has a 3 for 2 offer on chocolate bars The normal price of a chocolate bar is 72p Sian gets 3 chocolate bars from the shop using this offer How much does she spend Give your answer in pounds
Answer:
1.44 pounds
Step-by-step explanation:
From the above question, we are told that:
The shop has 3 for 2 offer on chocolate bars going on .This means a customer can buy 2 chocolates get 1 free, for the price of 2 chocolates, a customer can get 3 chocolates.
If the price of 1 chocolate bar = 72p
2 chocolate bars =
72p × 2
= 144p
Hence, Sian spends 144p
We are asked to convert our answer to pounds
The symbol p represent pence in money form
Hence,
100p(pence) = 1 pound
144p(pence) = x
100p × x = 144p × 1
x = 144p/100p
x = 1.44 pounds
Therefore, Sian spends 1.44 pounds
Round 7412 to the nearest thousand
Answer: 7000
Note: 5 and up rounds up. 4 and below rounds down.
4 < 5 so that means we won't need to round up we round down.
7412 = 7000
If we were to round up then the answer would of been 7500.
-0.6 irrational or rational
Answer:
Rational
Step-by-step explanation:
If you can write it as a fraction (=ratio), it is rational.
-6/10 = -0.6
Simplify.
6y-2y
Help please
Answer:
4y
Step-by-step explanation:
youd have to combine like terms..
Answer:
4y
Step-by-step explanation;
since they have something in common which is y,it is possible to subtract.we would be focusing more on the numbers than letters.The like term which is y just paves a way for these numbers to be subtracted.Hence, 6y -2y= 4y
or you can do it this way also
they have something in common which is y,so we factorise
y(6-2)
y(4)
hence y(4) also means 4 x y= 4y
In the image below, lines n and mare parallel. What is the measure of angle 4?
a.98
b.82
c.164
d.122
help me asap pls
Answer:
a.) 98°
Step-by-step explanation:
Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:
[tex]82+x=180[/tex]
Solve for x, the value of angle 5:
[tex]x=180-82\\\\x=98[/tex]
Angle 5 has a measure of 98°.
Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.
:Done
a wall of a building is 36 inches wide. Fourteen inches is concrete 12 inches is brick and 10 inches limestone what fraction of the wall is limestone?
Answer:
10/36 or 5/18 is the fraction of the wall that is limestone. In percentage form it would 27.77..% or could be rounded to 27.8%
What is the product? Two-thirds times eight-ninths StartFraction 10 over 27 EndFraction StartFraction 16 over 27 EndFraction Two-thirds Five-sixths
Answer:
16/27
Step-by-step explanation:
First let's convert this info an equation and then we will solve.
(2/3) * (8/9) = ?
( 2 * 8 ) / ( 3 * 9 ) = ?
( 16 ) / ( 27 ) = ?
16 / 27 = ?
So our fractional answer is 16/27.
In words this would be sixteen over twenty seven.
Cheers.
Answer:
15/9
Step-by-step explanation:
Inverse operation of f(x)=x/2+1
Answer:
the inverse is f(x) = 2x - 2
Step-by-step explanation:
Inverse operation in this equation is basically switching the x and y:
y = x/2 + 1
x = y/2 +1
x - 1 = y/2
2x - 2 = y
"Construct c=a+b by drawing and calculating the direction and magnitude of c. The direction should be measured from the +x-axis" how do you do this problem?
Answer:
The question seems to be incomplete, so i will answer in a general way.
Ok, i guess that here we have two vectors:
a = (Ax, Ay) and b = (Bx, By).
Now we have that:
c = a + b = (Ax, Ay) + (Bx, By) = (Ax + Bx, Ay + By).
Now, to calculate the magnitude of a vector (x, y) we have:
√(x^2 + y^2)
Then the magnitude of c will be:
IcI = √( (Ax + Bx)^2 + (Ay + By)^2)
And for the direction:
First, the direction is already defined by the vector c.
But a more exact (and easy to read) way is:
When we have a vector (x, y).
The angle between this vector and the x-axis is given by:
Tan(θ) = y/x.
Then in the case of c.
Tan(θ) = (Ay + By)/(Ax + Bx)
θ = ATan( (Ay + By)/(Ax + Bx) )
In math the words transformation means to blank, blank, blank, or blank a figure
Answers:
TranslateReflectRotateDilateThis can be stated in any order
============================================
Explanation:
In geometry, a translation is where you slide a point or figure some distance left, right, up or down.
A reflection will mirror a point over a line, or you could mirror a point over another point.
A rotation turns a point around a fixed center point.
A dilation scales the figure to be larger or smaller.
The first three transformations mentioned (translation, reflection, rotation) are known as rigid transformations. They keep the figure the same size and shape. A dilation will keep the same shape, but the size will be different, so the before and after figures are not congruent when you apply a dilation.
Find the area of the shaded figure in square feet. Round to the nearest tenth if
necessary.
Answer:
to be honest I'm not sure
G. Write the equation of the line in slope-intercept form.
1. The line containing (3,1) and is perpendicular to the y=-x+1.
2. The line passes through (-1,7) and is parallel to the 5y = 4x + 5.
Answer:
y= x-2y = 4/5 x+39/5Step-by-step explanation:
1.
[tex](3,1) and\:perpendicular \:to \: y = -x+1\\(3,1) = (x,y)\\m = -1\\In\: perpendicularism ; m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{-1} \\m_2 =1\\y = mx+c\\1 = 1(3) +c\\1=3+c\\1-3=c\\-2 =c\\Substitute \:new \:values\:into\\y =mx+c\\y = 1x -2\\y = x-2[/tex]
2.
[tex](-1,7) =(x_1,y_1)\\\\5y = 4x+5\\\\Write\:in\:y=mx+c\:form\\\frac{5y}{5} = \frac{4}{5} x + \frac{5}{5} \\y = \frac{4}{5} x +1\\m = \frac{4}{5} \\\\y -y_1=m(x-x_1)\\y-7=\frac{4}{5} (x -(-1)\\y -7 = 4/5(x+1)\\y -7 = 4/5x +4/5\\\\y = \frac{4}{5} x+\frac{4}{5} +7\\\\y = \frac{4}{5} x +39/5[/tex]
Answer two questions about Equations A and B: A=3(x+2)=18 B=x+2=6 1) How can we get Equation B from Equation A? do they have the same solution?
Answer:
see below
Step-by-step explanation:
A:3(x+2)=18
Divide each side by 3
3/3(x+2)=18/3
x+2 = 6
This is the same equation as equation B
They will have the same solution since they are the same equation
x+2-2 = 6-2
x = 4
Answer:
You need to multiply/divide both sides by the same constant- they're both equivalent as well.
Step-by-step explanation:
You need to multiply/divide both sides by the same constant- they're both equivalent as well.
This is because solving it you get this
3(x+2)=18
3(x+2) over 3 = 18/3
x+2=6.
That's dividing by a non-zero constant (3).
Kind of new to this so I hope you can understand my answer-
Find the measure of ∠e, if m∠g = x + 17 and m∠f = 4x + 3. Answer choices: 131 49 4.6 15
Answer:
Step-by-step explanation:
∠g and ∠f are the interior angles on the same side of the transversal, therefore they're supplementary.
g + f = 180
4x + 3 + x + 17 = 180
5x + 20 = 180
5x = 180 − 20
5x = 160
x=1605=32
g = x + 17 = 32 + 17 = 49
Since ∠g and ∠e are corresponding angles, they're congruent.
g = e = 49
Questions #3 - 10 Record the LETTER OF THE FRACTION card that is equivalent to the decimal representation below. Not all cards will be used. HINT: Use your calculator to convert all fraction cards to decimals BEFORE you solve #3 - #10.
#3 *
10 points
Captionless Image
d
#4 *
10 points
Captionless Image
This is a required question
#5 *
10 points
Captionless Image
e
#6 *
10 points
Captionless Image
g
#7 *
10 points
Captionless Image
This is a required question
#8 *
10 points
Captionless Image
#9 *
10 points
Captionless Image
#10 *
10 points
Captionless Image
Answer:
Step-by-step explanation:
From science fiction to science fact, there is a concept that suggests that there could be other universes besides our own, where all the choices you made in this life played out in alternate realities. The concept is known as a "parallel universe," and is a facet of the astronomical theory of the multiverse.
Please help I cover the bottom half on purpose please help ASAP 100 points
Answer:
see explanation
Step-by-step explanation:
The first multiplier is the number of terms being added.
The second multiplier is one more than the first multiplier, that is
2 + 4 + 6 + 8 + 10 ← has 5 terms being added and 6 is one more than 5, thus
2 + 4 + 6 + 8 + 10 = 5 × 6
Answer:
The first multiplier is the number of terms being added.
The second multiplier is one more than the first multiplier, that is
2 + 4 + 6 + 8 + 10 ← has 5 terms being added and 6 is one more than 5, thus
2 + 4 + 6 + 8 + 10 = 5 × 6
Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the following statements are true? Select all that apply. he expression 50ℎ represents the total charge for Rock the House Digital Designs.
a.The expression 75ℎ represents the total charge for Elegance Home Architects.
b.The expression 500 + 75ℎ + 50ℎ represents the total amount the Nelsons will spend working drawings of their new house plans.
c.If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
d.If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
Answer:
The correct statements are (a), (c) and (d).
Step-by-step explanation:
The information provided is:
Rock the House Digital Designs charges $500.00 for the initial consultation with the Nelsons plus $50.00 for every additional hour of work for the house plans.Elegant Home Architects charge $75.00 per hour for the house plans.The variable h represent the number of hours for which Mr. and Mrs. Nelson hire the design firm.The total charge for Elegance Home Architects, if the Nelsons choose them will be:
Total for Elegance = 75 × h = 75h.
Suppose the Nelsons hire the design firm for 15 hours.
Total for Elegance = 75 × h = 75 × 15 = $1,125
Total for Rock = 500 + (50 × h) = 500 + (50 × 15) = $1,250
So, the Elegance Home Architects will be cheaper.
Suppose the Nelsons hire the design firm for 25 hours.
Total for Elegance = 75 × h = 75 × 25 = $1,875
Total for Rock = 500 + (50 × h) = 500 + (50 × 25) = $1,750
So, the Rock the House Digital Designs will be cheaper.
Thus, the correct statements are (a), (c) and (d).
vertical translation
Can someone answer these three questions? Thank you
Answer:
D, B, B
Step-by-step explanation:
Question 1: D
We need to solve for x.
z = 2π * (x / y)¹/²
z = 2π * (x¹/² / y¹/²)
z = 2π * (√x / √y)
z = √x * 2π / √y
√x = √y * (z / 2π)
x = y(z /2π)²
Question 2: B
(x⁵ + x⁴) / (x³ + x²)
= x⁴(x + 1) / x²(x + 1)
= x⁴ / x² = x⁽⁴⁻²⁾ = x²
Question 3: B
Let's try out A. Substituting p = 1, q = 1:
√1 * √1 = √(1 + 1)
1 * 1 = √2
1 = √2 FALSE
Let's try B. Substituting p = 2, q = 2:
√2 * √2 = √(2 + 2)
√4 = √4 TRUE so the answer is B.
An underwater canyon begins at 40 feet below sea level and is 105 feet deep. What is the elevation of the bottom of the canyon?
Answer:
145 ft below sea level
Step-by-step explanation:
40 + 105 = 145
Answer:
145 feet
Step-by-step explanation:
Describe the opposite of a positive integer, the opposite of a negative integer, and the opposite of zero.
Determine the domain of the function. f as a function of x is equal to the square root of x plus one divided by x plus four times x minus six.
Answer:
a)
Step-by-step explanation:
We have been given a function . We are asked to find the domain of our given function.
We can see that our given function is a rational function and numerator of our given function is a square root.
To find the domain of our given function, we will find the number that will make our denominator 0 and the domain of square root function will be the values of x that will make our numerator non-negative.
Undefined points for our given function:
The domain of denominator is all values of x, where x is not equal to negative 4 and positive 6.
Non negative values for radical:
The domain of numerator is all value of x greater than or equal to negative
Upon combining real regions and undefined points for our given function, the domain of our given function will be all values of x greater than or equal to negative 1, where x is not defined for 6.
Therefore, domain of our given function is .
what is federal state?
Step-by-step explanation:
A federation (also known as a federal state) is a political entity characterized by a union of partially self-governing provinces, states, or other regions under a central federal government (federalism).
In the Venn diagram, the blue circle represents when p is true, and the orange represents when q is true. A conjunction is true in region . A disjunction is true in region(s) . A disjunction is false in region(s) .
Answer:
A conjunction is true in region
✔ B <--- Answer
A disjunction is true in region(s)
✔ A, B, and C <--- Answer
A disjunction is false in region(s)
✔ D <--- Answer
Step-by-step explanation:
I took the assaignment aswell
A conjunction is true in the region
✔ B ← Answer
A disjunction is true in the region(s)
✔ A, B, and C ← Answer
A disjunction is false in the region(s)
✔ D ← Answer
What is a Venn diagram?A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. Often, they serve to graphically organize things, highlighting how the items are similar and different.
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Complete the point slope equation of the line through (0,-2) and (3,4). y-4 = *
Answer:
y-4=4/5(x-0)
or, 5y-20=4x
or, 4x-5y+20=0 is the required equation
Find the area of each figure below. Round to the nearest hundredth.
Answer:
Area of rectangle=9×17=153 SQ.ft
Area of semi-circle=π9'2/2
Area of traingle=(1/2)×7×9=31.5
The area of the composite figure is 325.17 square feet
How to determine the area of the figure?The figure is a composite figure with the following shapes
RectangleTriangleSemicircleThe dimension of the shapes are:
Semicircle: Radius = 9 ftRectangle: Length = 9 ft; Width = (26 - 9)ftTriangle: Base = 9ft; Height =(26 -9 - 7) ftThe area of each shape is:
Semicircle
A = 0.5πr²
This gives
A = 0.5 * 3.14 *9^2 = 127.17
Triangle
A = 0.5 * base* height
This gives
A = 0.5 * 9 * (26 -9 - 7) = 45
Rectangle
A = Length * Width
This gives
A = 9 * (26 - 9) = 153
The area of the figure is the sum of the areas of the individual shapes.
So, we have:
Total = 127.17 + 45 + 153
Evaluate
Total = 325.17
Hence, the area of the composite figure is 325.17 square feet
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What is the distance between the two numbers on this number line? -13 and 28
Answer:
41
Step-by-step explanation:
Points are:
-13 and 28Distance between these points:
28 - (-13) = 28+13 = 41Answer is 41
Answer:
[tex]\Huge \boxed{41}[/tex]
Step-by-step explanation:
Easy way to find the distance between the two numbers is by taking the sum of the absolute values of these numbers.
[tex]|-13| + |28|[/tex]
The absolute value tells the distance of the numbers from zero.
Solving for absolute value.
[tex]13+28[/tex]
Adding the numbers.
[tex]41[/tex]
The distance between -13 and 28 on the number line is 41.
Bob thought of an even and odd number, multiplies the numbers together, added 6, divided by 5, and subtracted 3 to give an answer of 1. What was the odd number he started with?
Answer:
7
Step-by-step explanation:
Working backward, we can find Bob's initial product.
We subtracted 3 to get 1, so we had 4.
We divided by 5 to get 4, so we had 20.
We added 6 to get 20, so we had 14
After Bob multiplied the two numbers together, he had 14. We know that 14 is the product of 2 and 7. The odd number is 7.