Answer:
Improper fraction: 39/34
Proper fraction: 1 5/34
Decimal: 1.147 (rounded to the nearest thousandths).
Step-by-step explanation:
Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:
4 7/8 ÷ 4 1/4
First, change all fractions into improper fractions:
4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8
4 1/4 = (4 * 4)/4 + 1/4 = 16/4 + 1/4 = 17/4
Next, find common denominators. Note that what you do to the denominator, you must do the numerator:
(17/4) * (2/2) = (34/8)
39/8 ÷ 17/4
Solve. First, change the division sign into multiplication, and then flip the second fraction:
39/8 ÷ 17/4 = 39/8 x 4/17
Multiply straight across:
39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.
~
which of the following is equivalent to squareroot 8?
Answer:
2√2
Step-by-step explanation:
solve 5x^2-2x-8=0 using the quadratic formula
Solve.
3(x + 1) - 2x = -6
0)
A)
X=1
B)
X = 5
9
X = -7
D)
x = -9
Answer:
D: [tex]x=-9[/tex]
Step-by-step explanation:
[tex]3(x + 1) - 2x = -6[/tex]
[tex]3x+3-2x=-6[/tex]
[tex]-3[/tex] [tex]-3[/tex]
[tex]3x-2x=-9[/tex]
[tex]1x=-9[/tex]
[tex]/1[/tex] [tex]/1[/tex]
[tex]x=-9[/tex]
Hope this helps!
Find the volume of the cone. round your answer to the nearest tenth.
Answer:
18 and if I round it off to the nearest tenth it will be 20
just so you know I'm not that good at maths
Kevin drew a diagonal inside a quadrilateral. He realizes the it always make 2 congruent isosceles triangleso. What kind of quadrilateral did Kevin use to draw the triangles ?
Answer:
The square is the quadrilateral.
Step-by-step explanation:
A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.
If a quadrilateral is a square and we make its diagonal so that we get two triangles.
These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each other.
here, the triangles ABC and ADC are congruent and isosceles.
You borrow $3,897 for a loan for college expenses with a 2.5% interest rate. How much interest is charged on the loan
Answer:
Amount of interest pay per year = $97.5 (Approx.)
Step-by-step explanation:
Given:
Amount borrow for college expenses = $3,897
Rate of interest = 2.5%
Find:
Amount of interest pay per year
Computation:
Using Simple interest formula;
Simple interest = Amount borrow x Rate of interest x number of year
Amount of interest pay per year = 3,897 x 2.5% x 1
Amount of interest pay per year = 3,897 x 0.025
Amount of interest pay per year = 97.425
Amount of interest pay per year = $97.5 (Approx.)
what is the bast estimation of mean for this data set
Answer:
mean = adding up all the numbers then divid by number of numbers
Step-by-step explanation:
I.e 2 5 7 9 7 add up = 30
30 ÷ 5 = 6 so 6 is the mode
Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING
Please help I will give brainlist
Answer:
they are NOT the same
Step-by-step explanation:
y+ 1 = 5(x + 2) is y = 5x + 9
distribute the 5 and get 5x + 10
when you subtract the 1 from both sides the 10 becomes a 9
Translate this phrase into an algebraic expression.
8 more than twice Matt's savings
Use the variable m to represent Matt's savings.
Answer:
2m+8
Step-by-step explanation:
How much of a radioactive kind of xenon will be left after 15 days if the half-life is 5 days and
you start with 96 grams
Answer:
12 grams
Step-by-step explanation:
15/5 = 3 half lives
(1/2)³ = 1/8 of the original amount will remain
96 * 1/8 = 12 grams
Answer:
Step-by-step explanation:
Radioactive decay problems are very similar to compound interest formulas, except the rate is subtracted from one, instead of adding to one.
I.e.
mass at time t, m(t) = M (1 - r)^(t/h)
where
M = initial mass (grams)
m (t) mass left at time t (grams)
h = half-life in number of days
r = 0.5 from "half-life"
t = time lapse in number of days
Here
M = 96
h = 5
t = 15
m(15) = 96(1-0.5)^(15/5)
= 96 (1/2)^3
= 12 grams
11..
Solve the equation using the zero-product property.
-n(5n-4)=0
A. n= -1 or n= 4/5
B. n= 0 or n= -4/5
C. n= -1 or n= -4/5
D. n= 0 or n= 4/5
Answer:
D. n= 0 or n= 4/5
Step-by-step explanation:
Factor and set each factor equal to zero.
n
=
0
,
4
5
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
n
=
0
,
4
5
Decimal Form:
n
=
0
,
0.8
Please help!
The graphs of f(x)=−2x and g(x)=(12)x are shown.
What are the solutions to the equation −2x=(12)x ?
Select each correct answer.
-2
-1
2
4
Answer:
-1 and -2
Step-by-step explanation:
The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
The functions are given as:
Function 1
f(x) = -(x - 4)² + 1
Function 2:
f(x) = -(x - 2)² + 5
A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum
The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.
Read more about quadratic functions at:
brainly.com/question/4140287
#SPJ3
complete question;
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).
NEED ASAP NOWWWWWW TY
Answer:
subtract 8 from both sides
Step-by-step explanation:
Use sin -1, cos -1 or tan -1 to find the measure of
Please help will give branliest
what is the answer to 7m-6,m=8
Answer:
50
Step-by-step explanation:
When given the following equation, and information,
7m - 6
m = 8
One must substitute the value of (m) into the equaiton. Then simplify and solve to evaluate the equation,
7m - 6
7(8) - 6
56 - 6
50
Answer:
50
Step-by-step explanation:
7m-6
Let m= 8
7(8) -6
Multiply first
56-6
Then subtract
50
I’m stuck on this question plz help
Answer:
3(n-8)
Step-by-step explanation:
I need to know what this is? Can someone tell me… Honestly. What is the value of x?
Answer:
98º
Step-by-step explanation:
The sum of angles in a triangle is 180
---------------------
The missing angle in the triangle
180 - 45 - 53 = 82º
-------------------------
x is supplementary to 82º
x = 180 - 82
x = 98º
Find the surface area of the prism
Show all the work
I'll mark you brainiest
Answer:
I dont see the question oh nvm
Step-by-step explanation:
El 60% de los discos son de música clásica y el 10% es música para bailar si Fabián tiene 90 discos cuántos son de cada uno
Respuesta:
54 discos son de música clásica
9 discos son de música para bailar
:)
A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties
Answer:
The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)
Where:
[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.
[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.
If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:
[tex]m = \frac{4.8-0}{8-0}[/tex]
[tex]m = \frac{3}{5}[/tex]
From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.
A regular polygon with exterior angle of 45° is redrawn using a scale 1 : 5. If the actual length of the sides of the regular polygon is 10cm, calculate the perimeter of the scale drawing of the regular polygon.
Answer:
16 cm
Step-by-step explanation:
"regular polygon" means all sides and angles are the same.
the sum of all exterior angles must be 360 degrees.
so, how often do 45 fit into 360 ?
2 times in 90, which in turn fit 4 times into 360, so 8 times.
the polygon has 8 corners and 8 sides.
each side is originally 10cm
so the original perimeter is 8×10 = 80 cm
now, every side is reduced to 1/5th of the original size, this also reduces the perimeter by the same factor.
=> perimeter = 80×(1/5) = 80/5 = 16 x cm
control :
applying the scaling factor of 1/5th to every side transforms every side from 10 cm to 2 cm.
we still have 8 sides.
perimeter = 8 × 2 = 16 cm
correct
Question and choices are in the photo please explain the answer
Answer:
The answer is option C
Step-by-step explanation:
Product means that we have to multiply
So we multiply (3x - 4y) by (-2x + 5y - 6)
So the solution will be
3x(-2x + 5y - 6) - 4y(-2x + 5y - 6)
Note: don't forget that there are positive signs and negative signs in the equation
-6x² + 15xy - 18x + 8xy - 20y² - 24y
Group like terms
The like terms here are 15xy and 8xy so we group them
-6x² + 15xy + 8xy - 18x - 20y² - 24y
-6x² + 23xy + 8xy - 18x - 20y² - 24y
And that's your answer
What solid 3D object is produced by rotating the triangle about line m? ANSWER ASAP. TROLL AND LINK ANSWERS REPORTED. WILL AWARD BRAINLIEST.
Answer:
A cone with diameter 6 units
Step-by-step explanation:
Rotating the triangle about line m will give us a cone with radius 3
If the radius is 3, the diameter is 2*r = 2*3 = 6
Answer:
Step-by-step explanation:
a cone with a radius of 5
A function has the points (1,5), (3,6), (4, 10), and (2, y).
Which point, (2, y), would keep this a function?
(4,11)
(4,5)
(3,8)
(6,3)
Answer:
sorry I don't know the answer
the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number
Answer:
The third number is 11
Step-by-step explanation:
First, you multiply 15 by 3 to get the sum(45) and then you add 18 and 16 to get 34. Lastly, you will minus 45 and 34 and your answer will be 11.
Which equation represents a line which is parallel to the line 7y-4x=-14
Answer:
sympathise or strategies
Given the inequality, select all the values of x that make that inequality true 3(2k-1)<9 0 1 2 3 4
Answer:
We have the inequality:
3*(2*x - 1) < 9
Where the given options are:
0, 1, 2, 3, 4
(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).
Again, let's start with the inequality:
3*(2*x - 1) < 9
and let's isolate the variable x.
(2*x - 1) < 9/3 = 3
(2*x - 1) < 3
2*x < 3 + 1 = 4
2*x < 4
x < 4/2
x < 2
Then all the values of x that are strictly smaller than 2 make the inequality true.
From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:
x = 0
and
x = 1.
Find the angle for this problem
Answer:
ans: 31°
Step-by-step explanation:
<EFG = <EFH + <HFG
2x+52= 21 + ( x+31)
2x-x= 21 +31 -52
x= 0
so our question is to find <HFG so,
x+31°= 31°
The Hogwarts Express train has reduced its one-way fare from 360 galleons to just 270 galleons. What is the percentage decrease in the fare? *
=======================================================
Work Shown:
A = old value = 360
B = new value = 270
C = percent change
C = (B-A)/A
C = (270-360)/360
C = -90/360
C = -0.25
C = -25%
The negative C value indicates we have a percent decrease.
Note how 25% of 360 = 0.25*360 = 90, meaning that the price has dropped by 90 galleons. And also note that 360-270 = 90 is that same figure of 90. This helps confirm the answer.