A fourth as much as the product of two thirds and 0.8
Answers
The product of is the answer to a multiplication problem, so it would be 2/3 x 0.8. One fourth of this means that we are finding that part of the answer. To show this we would multiply 1/4 by that answer. Please see the attached picture for the written out problem and the work. The answer is 2/15.
A fourth as much as the product of two thirds and 0.8 is ²/₁₅
Further explanationOrder of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem !
First, we will translate this word problem into a mathematical equation.
The product of two thirds and 0.8
[tex]\frac{2}{3} \times 0.8[/tex]
A fourth as much as the product of two thirds and 0.8
[tex]\frac{1}{4} (\frac{2}{3} \times 0.8)[/tex]
[tex]= \frac{1}{4} (\frac{2}{3} \times \frac{4}{5})[/tex]
[tex]= \frac{1}{4} (\frac{2 \times 4}{3 \times 5})[/tex]
[tex]= \frac{1}{4} (\frac{8}{15})[/tex]
[tex]= \frac{1}{4} \times \frac{8}{15}[/tex]
[tex]= \frac{1 \times 8}{4 \times 15}[/tex]
[tex]= \frac{8}{60}[/tex]
[tex]= \frac{8 \div 4}{60 \div 4}[/tex]
[tex]= \boxed {\frac{2}{15}}[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
Related Questions
The can of wood stain is twice as wide but half as tall as the can of paint. What is true about the areas of their labels?
Answers
Answer:
Astain = Apaint
..........................................................................................................
Step-by-step explanation:
Lisa and Frank shared 1/3 pound of cherries equally what fractional part of a pound did each person receive?
Answer: 0.3333
Part A.
Molly wrote the following quotation to solve the problem: 2 . 1/3 = n.
Do you agree with Molly's equation? Support your answer with information from the problem.
Answers
1/2 * 1/3 = 1/6 = 0.167
1/2 * 1/3 = n = 0.167
Answer with explanation:
1)
If we divide 1/3 pounds equally among two people then each of them will get a share of:
[tex]\dfrac{1}{2}\times \dfrac{1}{3}\\\\=\dfrac{1}{6}\\\\=0.1666\ pounds[/tex]
Hence,the given answer that each will get 0.3333 pounds is incorrect.
2)
Molly wrote the following quotation to solve the problem: 2 . 1/3 = n.
This is an incorrect equation since this equation does not represent the half share of 1/3 pounds.
It represents the double amount of 1/3 pounds.
What is the area of this figure?
Enter your answer in the box.
PLEASE HELP ASAP!!! IF CORRECT YOU WILL GET 10 POINTS AND MARKED AS BRAINLIEST AS SOON AS I CAN!!!
Answers
Try this solution:
1. The final formula for the area of the figure is: A=A₁+A₂, where A₁ - the area of the square (its side is 18m) and A₂ - area of the triangle (the base is (8+18)m., height is 16 m.)
2. Using all the data in the formula above:
A=18*18+0.5*16*(8+18)=324+8*26=324+208=532 m².
answer: 532
What is the GCF of 14x^2 and 4xy? A. 10x B. 28x^2y C. 2x2 D. 2x
Answers
14x^2 and 4xy
answer is D. 2x
Which of the following terms are like terms
A. 2a and 2x
B. 6xy and -16xy
C. X and x^2
D. 2x and 3xy
Answers
Use the following figure to answer the question. 1 and 4 are _____ angles. corresponding vertical supplementary adjacent
Answers
Hope this helps! Have a blessed day!
Answer:
vertical angles
Step-by-step explanation:
We need to identify ∠1 and ∠4 are which type of pair of angles .
Since we are given the options :
1, correspoding angles: Corresponding Angles
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.
2. vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross), NOT up/down
3. supplementary angles : Two Angles are Supplementary when they add up to 180 degrees
4. adjacent angles:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Thus according to definitions ∠1 and ∠4 are vertical angles
The low temperature in Leroy’s town one day was -4. The difference between the high temperature and the low temperature that day was 6. The equation h-(-4)=6 can be used to find h, the high temperature in the town that day in degrees Fahrenheit. What was the high temperature in the town that day, in degrees Fahrenheit?
Answers
If P(x) = 0.25, find the complement
Answers
complement = [1-original]---------------> [1-0.25]=0.75
the answer is 0.75
when an aircraft takes off, it accelerates until it reaches its takeoff speed V. in doing so it uses up a distance R of the runway, where R is proportional to the square of the of the takeoff speed. if V is measured in miles per hour and R is measured in feet, then 0.1639 is the constant of proportionality. if an aircraft has a takeoff speed of about 215 miles per hour, how much runway does it need?
Answers
Explanation:
Two quantities are proportional if and only if their ratio is constant. Since V and the square of R are proportional, then the ratio of V to the square of R is constant. In terms of equation:
[tex] \frac{V}{R^2} = k[/tex]
For some constant k.
Since the constant of proportionality is equal to 0.1639, k = 0.1639. Moreover, since the takeoff speed of the aircraft needs to be 215 miles per hour, the runway needed is will be obtained by solving for R in the following equation:
[tex]\frac{V}{R^2} = k \\ \\ V = kR^2 \\ \\ R^2 = \frac{V}{k} \\ \\ R = \sqrt{\frac{V}{k}} \\ \\ R = \sqrt{\frac{215}{0.1639}} \\ \\ \boxed{R = 36.22 \text{ feet}} [/tex]
Hence, a runway of 36.22 feet is needed for the aircraft to have a takeoff speed of 215 miles per hour.
Which undefined term is needed to define an angle????
Answers
POINT WASNT AN OPTION ON MY TEST. THE ANSWER WAS PLANE. THE ANSWER CAN BE POINT, LINE, OR PLANE.
Answer:
Line
Step-by-step explanation:
A line is a undefined term used to define a angle. An angle is the corner that is created where two non-parallel lines meet/ intersect
The gandhara region is the home of many portrayals of ____.
Answers
The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle's length
Answers
l=3h
l-h=8
3h-h=8
2h=8
h=4
Then l=3h=3×4=12
The length of the rectangle will be 12 units.
What is a rectangle?
The rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of ractangle = 2( length + width).
Let say,
Length = l and width = w
Given,
length of a rectangle is 3 times the width
l = 3w
The difference between the length and the width is 8 feet
l - w = 8
By equation 1 and 2
3w - w = 8
2w = 8
w = 4
Substitute into equation 1
l = 3(4)
l = 12 units.
So the length of the rectangle will be 12 units.
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Find the new amount given the original amount and the percent amount 810 songs; 130% increase
Answers
Let's break this down. We need to find 100% and 30% of 810 and add those two numbers to the original number of 810.
STEP 1:
Find 100% of 810
=100% * 810
=1.00 * 810
=810
STEP 2:
Find 30% of 810
=30% * 810
=0.30 * 810
=243
STEP 3:
Add to Original #:
Original # + (100% # + 30% #)
=810 + (810 + 243)
=810 + 1053
=1863
130% of 810 is 1863.
Hope this helps! :)
There is 12/15 of a pizza left. How many 3/10 pieces can be made from the leftover pizza? Show work please!
Answers
How many 1/3 pieces can be made from 2 pizzas, we know it is 6 and it is arrived by dividing 2 by 1/3 or multiplying by its reciprocal 3/1.
Hence to find how many 3/10 pieces can be made from 12/15 pizza, we have to divide 12/15 by 3/10 or multiplying by its reciprocal 10/3, i.e.
12/15 times 10/3= 8/3 or 2 2/3
What does that mean? This means that while 2 three-tenths pieces can be made, 2/3of 3/10 i.e. 2/3×3/10=2/10=1/5 or one-fifth of pizza will be left out.
So the answer is 2 three-tenths pieces can be made, and one-fifth pizza will be left out.
Answer: it would be 2 3/10 pieces will be left over
After 5 months, the number of subscribers to a newspaper was 5,730. After 7 months, the number of subscribers to the newspaper was 6,022. Which equation models the number of newspaper subscribers y after x months? y = –146x – 5,000 y = 146x + 5,000 y = 146x – 5,000 y = –146x + 5,000
Answers
Remember that the slope of a line is [tex]m= \frac{y_{2}-y _{1} }{ x_{2} - x_{1} } [/tex]. since we already found those values, lets replace them to find our slope:
[tex]m= \frac{6022-5730}{7-5} [/tex]
[tex]m= \frac{292}{2} [/tex]
[tex]m=146[/tex]
To create our linear model we are going to use the point-slope equation [tex]y- y _{1} =m(x- x_{1} )[/tex]. Notice that we have all the values, so the only thing left is plug them in our equation:
[tex]y-6022=146(x-5)[/tex]
[tex]y-5730=146x-730[/tex]
[tex]y=146x-730+5730[/tex]
[tex]y=146x+5000[/tex]
We can conclude that the equation which models the number of newspaper subscribers [tex]y[/tex] after [tex]x[/tex] months is [tex]y=146x+5000[/tex]
Could you please help me out ?
Answers
m∠K= 180º-58º-38º
m∠K= 84º
2. If we draw a perpendicular segment from "K" to "k", we will obtain two right triangles and we can find the value of "k".
3. Let's find the heigh ot these two triangles (The perpendicular segment from "K" to "k", which we will call "y"):
Sen(α)=Opposite leg/Hypotenuse
Sen(58º)=y/2.3
y=2.3xSen(58º)
y=1.95 units
4. Now we must find the adjacent leg of the triangle on the left:
Cos(α)=Adjacent leg/Hypotenuse
Cos(58º)=Adjacent leg/2.3
Adjacent leg=1.21 units
5. Let's find the adjacent leg of the other triangle:
Tan(38º)=Opposite leg/Adjacent leg
Adjacent leg=2.49 units
6. The lenght of "k" is:
k=2.49 units+1.21 units
k=3.7 units
7. The length KL is:
Cos(38º)=Adjacent leg/Hypotenuse
Cos(38º)=2.49/KL
KL=2.49/Cos(38º)
KL=3.15 units
KL≈3.2 units
trapezoid: b1=3 m;b2 =4m A= 7 m2 What is the missing
dimension
Answers
In △DEF, DE = 5 and m∠F=55. Find FE.
Answers
make sure your calculator is in Degree mode.
tan(55°) = 5/(FE)
FE = 5/tan(55°)
FE = 3.5
Consider the quadratic equation x2=4x-5. How many solutions does the equation have
Answers
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
now, plugging in those values for the discriminant, we'd get
(-4)² - 4(1)(5).
10 points!!!
Todd Gunderson went into a partnership with two of his friends. Manny and Jose, to share a route delivering newspapers. Manny owns 1/4 of the partnership, while Jose has a 1/5 interest. If the partnership's monthly revenue amounts to $765, how much of that is Todd's? Round to the nearest cent.
Answers
Todd + Manny + Jose = 1
X + 1/4 + 1/5 = 1
Change fractions to decimals for easier solving
x +.25 +.20 = 1
combine like terms
x+ .45 = 1
Subtract .45 from both sides
x=.55
todd has 55% of the shares
Revinue * Todd's Percent = Todd's Shares
765*.55 = 420.75
A company has determined that the number of items it sells varies inversely as the price of the item. If 20,000 items can be sold if the price is $9.50, how many items can be sold of the price is $8.75? Round your answer to the nearest whole number.
Answers
Since the variation is inverse, then the relation between N and p is:
[tex]N=k\dfrac{1}{p}[/tex]
For N=20000 and p = $9.5, we get the formula:
[tex]20000=k\dfrac{1}{9.5}\\p=20000\times9.5=190000[/tex]
If p = 8.75, then the number of items sold can be computed using the formula:
[tex]N= 190000\dfrac{1}{8.75}=21714 \text{ total items}[/tex]
Determine the rigid transformations that will map ΔABC to ΔXYZ.
a. Translate vertex B to vertex Z; reflect ΔABC across side AB.
b. Translate vertex X to vertex C; rotate ΔXYZ to align the sides and angles.
c. Reflect ΔABC across side AB; translate vertex C to vertex X.
d. Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.
Answers
Solution: The correct option is d, i.e., Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.
Explanation:
we know that the sum of angles of a triangle is always [tex]180^{\circ}[/tex]. In ΔXYZ,
[tex]\angle X +\angle Y +\angle Z=180^{\circ}[/tex]
[tex]35^{\circ} +\angle Y +47^{\circ}=180^{\circ}[/tex]
[tex]\angle Y +82^{\circ}=180^{\circ}[/tex]
[tex]\angle Y =98^{\circ}[/tex]
In both triangles it is noticed that the sides AC and XZ are equal. In given triangles [tex]\angle A =\angle X=35^{\circ}[/tex] and [tex]\angle B =\angle Y=98^{\circ}[/tex].
By AAS rule of congruence ΔABC and ΔXYZ are congruent triangles, therefore we can transform ΔABC to ΔXYZ. For the transformation of ΔABC to ΔXYZ translate the vertex having same angle and rotate the triangle to align the sides and angles.
Since vertex X and vertex A have same angle, therefore we translate vertex X to vertex A and rotate ΔXYZ to align the sides and angles.
Hence the correct option is d.
Answer: d
Step-by-step explanation:
A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden? The perimeter increases % from the first garden to the second garden.
Answers
Answer:
100%
Step-by-step explanation:
When the dimensions double, the perimeter doubles.
The percent change can be found from ...
percent change = ((new value)/(old value) -1) × 100%
Filling in your values, you have ...
percent change = ((2×(old perimeter))/(old perimeter) -1) × 100%
= (2 - 1) × 100%
= 100%
The perimeter increases by 100% from the first garden to the second.
Help!!!!!!!!!!!!!!!!!!!!!!!
please ty
c:
Answers
.. A = (1/2)*b*h
.. 36 in^2 = (1/2)*b*(9 in)
.. (72 in^2)/(9 in) = b . . . . . . . . multiply by 2, divide by 9 in
.. 8 in = b
The base is "none of the above", 8 inches.
_____
This question has a couple of problems:
.. 1) area is not measured in "inches"; it is measured in "square inches."
.. 2) ALL of the offered answer choices are INCORRECT.
Simplify 10/16 to lowest terms and find an equivalent fraction that has a denominator of 32?
Answers
Answer:
The lowest fraction for [tex]\frac{10}{16}[/tex] is [tex]\frac{5}{8}[/tex] and a equivalent fraction with denominator of 32 is [tex]\frac{20}{32}[/tex].
Step-by-step explanation:
First, to have the fraction to the lowest terms we will have to divide the numerator and denominator by 2, this is:
[tex]\frac{10/2}{16/2}=\frac{5}{8}[/tex]
As can be seen the expression couldn't be simplified more because there is no a common number that could divide the numerator and denominator.
Second, to have an equivalent fraction with 32 in the denominator we will have to multiply the denominator by 2 and of course the numerator, this is:
[tex]\frac{10*2}{16*2}=\frac{20}{32}[/tex]
The lowest fraction for [tex]\frac{10}{16}[/tex] is [tex]\frac{5}{8}[/tex] and a equivalent fraction with denominator of 32 is [tex]\frac{20}{32}[/tex].
To simplify 10/16 to lowest term, it becomes 5/8. An equivalent fraction of 5/8 with 32 as the denominator is 20/32.
Explanation:To simplify 10/16 to its lowest term, we have to find the greatest common divisor of 10 and 16, which is 2. Hence, when we divide both the numerator and the denominator by 2, we get 10/2 = 5 and 16/2 = 8. So, the fraction 10/16 simplified to its lowest term is 5/8.
Now, to find an equivalent fraction with 32 as the denominator, we need to multiply both the numerator and the denominator of 5/8 by the same number so as not to change the value of the fraction. Here, we multiply by 4 (since, 8*4 = 32) to get 5*4 = 20 on the numerator. Therefore, an equivalent fraction of 5/8 with 32 as the denominator is 20/32.
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Annie's cafe borrows $6100 at 6% for 290 days. Find the total amount that must be repaid after 290 days. (Use a 365 day year.)
Answers
General Idea:
The formula to find the Amount 'A' that need to be paid after ' t ' years for a Principal ' P ' with a annual rate of interest ' r ' is given below:
[tex] A= P(1+r \cdot t) [/tex]
Applying the concept:
Annie's cafe borrows $6100 at 6% for 290 days.
From the above statement we can conclude,...
[tex] P= \$6100\\ \\ r=6\%\\ \\ t=\frac{260}{365} [/tex]
Substituting the values of P, r and t in the formula, we get...
[tex] A=6100 \cdot (1+6 \% \cdot \frac{260}{365} )\\ \\ A=6100(1+\frac{6}{100} \cdot \frac{260}{365} )=6100(1+\frac{1560}{36500} ) \approx 6361 [/tex]
Conclusion:
The total amount that must be repaid after 290 days is approximately [tex] \$6361 [/tex]
What is the inverse of f(x) 3^sqrt x-4
Answers
The inverse of f(x) = ∛(x-4) is f(x)³ + 4.
What is inverse of function?The output of a function is returned by the inverse function, which also returns the initial value. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.
Given:
We have the equation,
f(x) = ∛(x-4)
Let y = ∛(x-4)
In order to find the inverse function, we have to solve for y :
y = ∛(x-4)
y³ = (x-4)
x = y³ + 4
or, x = f(x)³ + 4
Therefore, f(x)³ + 4 is the inverse function.
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if the parent function is square root of x, describe the translation of this function square root x+7
Answers
The function [tex] y=\sqrt{x} [/tex] sits with its starting point at the origin. The function [tex] y=\sqrt{(x-h)}+k [/tex] is translated h units to the left or right and k units up or down. Since our radicand, the value under the square root sign, is x+7, putting that into our standard form it would be x-(-7) because minus a negative is a positive. So we move the parent graph to the left (-7 moves to the left) 7 units. There is no number k so our function is not moving up or down. Only to the left 7.
Janice makes 4 pizzas for dinner. There are 5 people to eat dinner. How much will each person get to eat?
Answers
Divide the number of pizzas Janice makes by the number of people who will eat dinner.
4 ÷ 5 = 0.8
Each person will get to eat 0.8 of the pizza.
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
Answers
original fraction = x/y
numerator decreased by 50% = 0.5x
denominator decreased by 25% = 0.y75
new fraction = 0.5x/0.75y = 2/3 (x/y)
new fraction is 2/3 of the original fraction. It decreased by 1/3
1/3 x 100 = 33%
Percentage decreased = 33%
Answer:
33.33% will work
Step-by-step explanation:
RSM BOI