The equation that represents the given situation will be (x=3/4÷6) and the length of each piece of ribbon will be 1/8 yards.
What is an equation?The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions. An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. As in 3x + 5 = 15, for example. There are many different types of equations, including linear, quadratic, cubic, and others. The three primary forms of linear equations are point-slope, standard, and slope-intercept.So, the equation that recipients the given situation:
The ribbon is 3/4 yards.Cuts into 6 equal pieces.Then, the equation will be:
x = 3/4 ÷ 6Now, calculate the equation for x as follows:
x = 3/4 ÷ 6x = 3/4 × 1/6x = 1/4 × 1/2x = 1/8
Therefore, the equation that represents the given situation will be (x=3/4÷6) and the length of each piece of ribbon will be 1/8 yard.
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I need help evaluating/answering this!
The value of the expression is equal to 6.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is [3(6-14)]/(-4). The value of the expression will be calculated below,
E = [3(6-14)]/(-4).
Simply the expression by using mathematical operations,
E = [3( -8)]/(-4).
E = 3 x 2
E = 6
Therefore, the value of the expression is equal to 6.
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If a watch costs $40 and you must pay 6.5 % sales tax, how much will the tax be?
1 print is equal to 2 cups or 16 fulid ounces how many fulid onces are in 4 prints 3 cups
Answer:
There would be 88 fluid ounces in 4 prints and 3 cups.
Step-by-step explanation:
So, if 1 print is equal to two cups, and we have 4 prints, that would mean we can multiply 4 x 2, which equals 8 cups. Now that the prints are out of the way, we add the 3 cups still remaining, to get 11 cups. Now, it wants us to find the fluid ounces, which 16 fluid ounces are in 2 cups, so, 11 divided by 2 = 5.5. So, 5.5 x 16 = 88 fluid ounces.
May I have Brainliest please? I am so close to getting my next ranking! I just need 2 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
88
Step-by-step explanation:
16x4=64
8x3=24
64+24=88
A yearly coffee club subscription costs $65. Avery received an offer for 30 % off the subscription cost. What is the sale price of the subscription?
Answer:
$45.50
Step-by-step explanation:
We want to find 70% of the original cost.
[tex].70 \times 65 = 45.50[/tex]
One year, the population of a city was 253,000. Several years later it was 288,420. Find the percent increase.
The percentage increase is 14%
Given,
In the question;
The population of a city was 253,000.
and, Several years later it was 288,420.
To find the percent increase.
Now, According to the question;
Based on the given conditions,
Formulate:
The population of a city was 253,000.
Several years later = 288,420
(288420 - 253000) ÷ 253000
[tex]\frac{288420 - 253000}{253000}[/tex]
Calculate
= 35420/ 253000
= 7/50
Convert to percentage
7/50
Multiply a number to both the numerator and the denominator
7/50 x 2/2
= 14/100
= 14%
Hence, The percentage increase is 14%
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There is a 40% chance that it is rainy in California. If there are 365 days in a year, how many of them would you expect to be rainy?
It is expected that 146 days will be rainy
Based on the given percentage, we want to calculate the number of rainy days
What we have to do here is to multiply the percentage by the number of days
That would be 40% of 365 days
We have this as;
[tex]\frac{40}{100}\times365\text{ = 146}[/tex]if the perimeter is 28 and part of it is 5 what is the cm
The other side of the rectangle is 9 cm.
Given that:-
Perimeter of the rectangle = 28 cm
One side of the rectangle = 5 cm
We have to find the other side of the rectangle.
Let the length of the rectangle be 5 cm and,
The breadth of the rectangle be b cm.
We know that,
Perimeter of the rectangle = 2(l + b)
Hence, we can write,
2(5 + b) = 28
5 + b = 28/2
5 + b = 14
b = 14 - 5
b = 9 cm
Hence, the other side of the rectangle is 9 cm.
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I need help on homework
Statement. (Reasons are in boldfaced words)
1. H is the midpoint of AD. By given.
2. AD bisects GC. By given.
3. HA = HD. By definition of midpoint.
4. GH = CH. By definition of the bisector.
5. Angles AHG and DHC are congruent. By vertical angles theorem.
6. AG = DC. They are the height of the figure.
7. Triangles GHA and CHD are congruent. By Side-Angle-Side postulate of congruence.
A. "Describe the trend in vehicle sales over time" - Should I use a regression model or just a linear model?
Regression
A) We can see the graph and through the data that the most indicated form is to find the regression model since there is not much uniformity among the data to describe it as a purely linear model.
Plotting that scatterplot, and generating the equation we know that the equation is:
[tex][/tex]Ten years ago, you could buy a loaf of bread for $1.21. Twenty years ago, you could buy a loaf of bread for $0.92.
Answer:
$0.29 is the price difference
Step-by-step explanation:
Ten years ago, you could buy a loaf of bread for $1.21. Twenty years ago, you could buy a loaf of bread for $0.92.
The number of distinct right triangles with hypotenuse length 10 and a leg of length 5 is ____
1. Infinite
2. 0
3. 2
4. 1
According to the Pythagorean theorem we see that there are no distinct right triangles possible with hypotenuse length 10 and a leg of length 5. Thus, option 2 is correct.
It is given to us that -
Hypotenuse length = 10
Leg of length = 5
We have to find out the number of distinct right triangles that have the given hypotenuse length and leg of length.
For a right triangle, the Pythagorean theorem states that -
[tex]a^{2} +b^{2} =h^{2}[/tex] ---- (1)
where, a and b = Legs of the right triangle
and, h = hypotenuse of the right triangle
Substituting the given values of hypotenuse length and one leg of length in equation (1), we have
[tex]a^{2} +b^{2} =h^{2}\\= > 5^{2} +b^{2} =10^{2}\\= > b^{2} = 100-25\\= > b^{2} = 75\\= > b = 8.65[/tex]------ (2)
From equation (2), we see that another leg's length of the right triangle is equal to 8.65 which is not possible it is not a real number.
Therefore, applying the Pythagorean theorem we see that there are no distinct right triangles possible with hypotenuse length 10 and a leg of length 5. Thus, option 2 is correct.
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joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day. on days when he doesn't walk, he runs all that distance at the gym. but if he walks 2 blocks, he cuts of 1/12 a mile off his run. today joshua walked 12 1 12 blocks. how far will he run at the gym?
3.75 miles he run at the gym.
What is distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.
On days when he doesn't walk, he runs all that distance at the gym.
But he walks 2 blocks, he cuts of 1/12 a mile off his run.
Today Joshua walked 12 blocks.
As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.
He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.
4.25 - 6(1/12) = 3.75
Therefore, 3.75 miles he run at the gym.
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What is the annual percentage yield (APY) for money invested at an annual rate of(A) 4.09% compounded monthly?(B) 4.1% compounded quarterly?
The annual percentage yield is given by the following formula:
[tex]\text{APY}=(1+\frac{r}{n})^n-1[/tex]Where r is the stated annual interest rate (in decimal form) and n is the number of times compounded.
A) APY for money invested at an annual rate of 4.09% compounded monthly.
Thus, the annual interest rate in decimal form is:
[tex]r=\frac{4.09\%}{100\%}=0.0409[/tex]And as it is compounded monthly then n=12.
Replace these values and solve:
[tex]\begin{gathered} \text{APY}=(1+\frac{0.0409}{12})^{12}-1 \\ \text{APY}=(1+0.0034)^{12}-1 \\ \text{APY}=(1.0034)^{12}-1 \\ \text{APY}=1.0417-1 \\ \text{APY}=0.0417 \end{gathered}[/tex]The APY is 0.0417=4.17%.
B) 4.1% compounded quarterly:
The annual interest rate is:
[tex]r=\frac{4.1\%}{100\%}=0.041[/tex]As it is compounded quarterly then n=4.
Replace and solve:
[tex]\begin{gathered} \text{APY}=(1+\frac{0.041}{4})^4-1 \\ \text{APY}=(1+0.0103)^{12}-1 \\ \text{APY}=(1.0103)^{12}-1 \\ \text{APY}=1.1302-1 \\ \text{APY}=0.1302 \end{gathered}[/tex]The APY is 0.1302=13.02%
Find an equation of the line that satisfies the conditionPasses through (-1,-3) and (4,2)
The points given are:
(-1, -3) and (4, 2)
Coordinates are:
x₁ =-1 y₁=-3 x₂ = 4 y₂ = 2
First, let's find the slope(m) of the equation using the formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]=\frac{2+3}{4+1}=\frac{5}{5}=1[/tex]Next, find the inetercept of the equation by substituting x =-1 y=-3 m = 1 into y=mx+ b
-3 = 1(-1) + b
-4 = -1 + b
Add 1 to bothside
-4+1 = b
-3 = b
b = -3
We can now form the equation of the line by simply substituting the value of m and b into y=mx+ b
y = x - 3
Therefore, the equation of the line that satisfies the condition is y = x - 3
I need help check the picture
The value that does not belong in the domain of the set is 7 and the value that does not belong in the range of the set is 10.
Given set of values:-
{(2,7), (8,12), (5,9), (10,15)}
Domain : {2,5,7,8,10}
Range: {7,9,10,12,15}
We have to determine the numbers which do not belong in the domain and range of the relation.
We know that in a set of values (x,y) , x is the part of the domain and y is the part of the range.
Hence, the domain of the relation is given by:-
{2,8,5,10}
The range of the relation is given by:-
{7,12,9,15}
Hence, 7 does not belong to the domain of the set and 10 does not belong to the range of the set.
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In the equation (x + 4)^2 = 49, if x equals 3 what is another solution for x?
Please answer quickly.
which of the following could be the distant of Allyson's map
The real distance from Mumbai to Bangalore is 845 km.
The real distance from Mumbai to Dehli is 1160 km.
Allyson has made a map in which distance is in cm and is proportional to the real distance.
Since the real distance and the distance on the map are proportional then their ratio must be equal.
Let us compare the ratio of real distance with the distance in given options.
Option A:
Bangalore to Mumbai = 116.5 cm
Mumbai to Dehli = 174 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{116.5}{174} \\ 0.728\ne0.669 \end{gathered}[/tex]As you can see, the ratio is not equal so this is wrong.
Option B:
Bangalore to Mumbai = 42.25 cm
Mumbai to Dehli = 58 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{42.25}{58} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Option C:
Bangalore to Mumbai = 23.4 cm
Mumbai to Dehli = 29 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{23.4}{29} \\ 0.728\ne0.807 \end{gathered}[/tex]As you can see, the ratio is not equal so this is wrong.
Option D:
Bangalore to Mumbai = 16.9 cm
Mumbai to Dehli = 23.2 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{16.9}{23.2} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Option E:
Bangalore to Mumbai = 25.35 cm
Mumbai to Dehli = 34.8 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{25.35}{34.8} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Therefore, the following can be the possible distances on Allyson's map
Option B
Option D
Option E
Suppose that h(x) varies inversely with x and h(x)=50 when x = 0. 25. What is h(x) when x = 2?.
If h(x) varies inversely with x , then the value of h(x) is 6.25 , when x = 2 .
In the question ,
it is given that ,
the function h(x) varies inversely with x ,
that means h(x) ∝ 1/x ,
to remove the proportionality sign , we write the constant of proportionality "k",
h(x) = k*(1/x)
given , that h(x)=50 when x = 0. 25
Substituting the values we get
50 = k*(1/0.25)
50 = k/0.25
k = 50×0.25
k = 12.5
So , the equation becomes
h(x) = 12.5/x
to find the value of h(x) when x = 2, we put x = 2 , in the equation ,
h(2) = 12.5/2
= 6.25
Therefore , If h(x) varies inversely with x , then the value of h(x) is 6.25 , when x = 2 .
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Given f(x)=3x^3 - 4x^2 + 2x - 1 and g(x) = x - 4, state the quotient and remainder of f(x)/g(x), in the form q(x) + r(x)/g(x)
Dividing f(x) = 3x³ - 4x² + 2x - 1 by g(x) = x - 4 will yield a quotient of q(x) = 3x² - 8x + 34 and a remainder of 135, that is (3x² - 8x + 34) + 135/(x - 4).
Calculating for the quotient and remainderApplying the long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder.
We shall divide the dividend f(x) = 3x³ - 4x² + 2x - 1 by the divisor g(x) = x - 4 as follows;
3x³ divided by x equals 3x²
x - 4 multiplied by 3x² equals 3x³ - 12x²
subtract 3x³ - 12x² from 3x³ - 4x² + 2x - 1 will result to 8x² + 2x - 1.
8x² divided by x equals 8x
x - 4 multiplied by 8x² equals 8x² - 32x
subtract 8x² - 32x from 8x² + 2x - 1 will result to 34x - 1.
34x divided by x equals 34
x - 4 multiplied by 34 equals 34x - 136
subtract 34x - 136 from 34x - 1. will result to a remainder of 135.
Therefore by the long division method, f(x) = 3x³ - 4x² + 2x - 1 divided by g(x) = x - 4 gives a quotient q(x) = 3x² - 8x + 34 with a remainder of 135.
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60 feet per second = how many kilometers per hour?
For solving this problem we have to know the transformations between feeds and kilometers and seconds to hours:
[tex]\begin{gathered} 1\operatorname{km}=3280.84ft \\ 1h=3600\text{ seg} \end{gathered}[/tex]Now we can make the transformation:
[tex]60\frac{ft}{seg}=60\frac{1}{3280.84}\frac{3600}{1}=65.8\frac{\operatorname{km}}{h}[/tex]I need help on the last two finding the function notation
For the second before last f(f), you have to replace x with the function f(x).
For the last one you have to replace x with the function g(x)
[tex]g(x)=2x^2+1[/tex][tex]\begin{gathered} f(g)=3(2x^2+1)+5 \\ f(g)=(3\cdot2x^2)+(3\cdot1)+5 \\ f(g)=6x^2+3+1 \\ f(g)=6x^2+4 \end{gathered}[/tex]select all the points that are on the graph of the linr 2x + 4y =20
Answer: y-intercept (0,5)
slope is -1/2
Step-by-step explanation:
Just put it on a graph.
What is the unit rate in price per ounce for choice A? Round your answer to the nearest hundredth.
Choice A: 25 ounces of potato chips for $3.49
Choice B: 45 ounces of potato chips for $4.79
a
$7.16 per ounce
b
$0.14 per ounce
c
$9.39 per ounce
d
$0.11 per ounce {jackpot points} {if you dont know DON'T ANSWER}
The unit rate in price per ounce for choice A is $0.1396, using arithmetic operation.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
The given question, 25 ounces of potato chips cost $3.49
So for 1 ounce the price will be 3.49/25 = $0.1396
Hence, the unit rate in price per ounce for choice A is $0.1396
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Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit.
Answer:
23,207/210
Step-by-step explanation:
[tex]\int\limits^7_4 {x^{2}+\frac{1}{x} } \, dx \\[/tex]
Right endpoints start at 7
It doesn't say how many so I will assume there are 3.
7, 6, 5
Plug in those values into the integrand:
7^2+ 1/7=
49+1/7
6^2+1/6=
36+1/6
5^2+1/5=
25+1/5
1(49+1/7+36+1/6+25+1/5)
110+1/7+1/6+1/5 The least common factor of 7,6,5 is 210
[tex]110 + \frac{30+35+42}{210} \\110 + \frac{107}{210} \\\frac{23,100+107}{210} \\\\\frac{23,207}{210} \\[/tex]
number 8 State how you know each pair of triangles are congruent
trianglesPairs of congruent triangles
Triangles A is congruent since UV = WX
Triangle Δ KLJ = Δ MNO and are congruents
Triangle Δ UGI ≠ Δ MNO ≠ ΔKLJ is congruent
43 divided by 516
Please help
Answer:
IT IS 12
Step-by-step explanation:
Jason has three more than four times the amount of money Jeff has together they have $72 how much money does each person have
hello
determine the amount each of them have, let's write an equation to represent thier total amount
let x represent the amount Jason have
let y represent the amount Jeff has
now, we know that Jason has 3 more than 4 times the amount Jeff has
x = 4y + 3 .... equation 1
x + y = 72 .... equation 2
from equation 2,
make x the subject of formula
[tex]\begin{gathered} x+y=72 \\ x=72-y \end{gathered}[/tex]x = 72 - y .....equation 3
put equation 3 into equation 1
x = 4y + 3
72 - y = 4y + 3
solve for y
[tex]\begin{gathered} 72-y=4y+3 \\ \text{collect like terms} \\ 4y+y=72-3 \\ 5y=69 \\ y=\frac{69}{5} \\ y=13.8 \end{gathered}[/tex]we know y = 13.8
we can simply substitute the value into equation 2 and solve for x
[tex]\begin{gathered} x+y=72 \\ y=13.8 \\ x+13.8=72 \\ x=72-13.8 \\ x=58.2 \end{gathered}[/tex]therefore, Jason has $58.2 and Jeff has $13.8
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y= 6x-8
Step-by-step explanation:
you pick two y values and subtract them. then take two x values and subtract them. divide those two awnsers with y on top. the -8 is the y intercept because when x is 0, the y is -8.
Answer:
Step-by-step explanation:
recall slope m is:
slope = m
m = (y2-y1) / (x2-x1)
point P1 (0,-8) in the form (x1,y1)
point P2(1,-2) in the form (x2,y2)
m = { -2-(-8) } / { 1-0 }
m = { -2+8 } / 1
m = 6 /1
m = 6
then plug in any point, I'll use P1
y - y1 = m(x -x1) (point-slope formula)
y - (-8) = 6*(x-0)
y+8 = 6x
y= 6x -8 (slope-intercept formula) :)
help please tyyyyyyyyy
Answer: 5 tadoples
Step-by-step explanation:
Please get me the Braniliest award, thanks!
Answer:
30
Step-by-step explanation:
If there are 18 swans in the ratio of 3
you divide 18 by 3 = 6
So you times 5 by 6 to get 30 as your answer
find the slope and y intercept of the line.y= -3/4x+1
Explanation
we can easily solve this by checking the equation
[tex]y=-\frac{3}{4}x+1[/tex]It is writen in slope- y intercept fom
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope} \\ \text{and b is the y-intercept} \end{gathered}[/tex]hence
[tex]\begin{gathered} y=-\frac{3}{4}x+1\Rightarrow y=mx+b \\ \text{ therefore} \\ m=\text{slope}=-\frac{3}{4} \\ b=y-\text{Intercept}=1 \end{gathered}[/tex]I hope this helps you
