Hence, Reese would need 2/5 yards of blue ribbon for every yard of gold ribbon. Thus, the correct option will be (c)
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as:
1 : 3 (for every one boy there are 3 girls)
and if there is 2 pen and 4 copy in your bag the the ratio is
1 : 2 (for every 1 pen there is 2 copy)
We know that
Reese needs 1/4 yards of blue ribbon for every 5/8 yards of gold ribbon.
To know the total blue ribbon she would need for each yard of gold ribbon, we use the following proportion.
(1/4)/x=(5/8)
the x = 5/8 = 4x
x = 2/5
Reese needs 1/4 yards of blue ribbon for every 5/8 yards of gold ribbon.
To know the total blue ribbon she would need for each yard of gold ribbon, we use the following proportion.
Then, we solve for x.
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The question is incomplete, the complete question is:
Standard based practice compare two fractions jasmine cut 3/8 yard of blue ribbon and 1/3 yard of red ribbon to decorate will be:
a) 0
b) 4/7
c) 2/5
d) 3/9
y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip
Answer:
y = 4\(\sqrt{5}\) , ? = 10
Step-by-step explanation:
using Pythagoras' identity on the smallest right triangle
x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )
x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)
using Pythagoras' identity on the middle right triangle
y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )
y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)
using Pythagoras' identity on the largest right triangle
?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100
Take square root of both sides
? = \(\sqrt{100}\) = 10
The first term of an arithmetic sequence is 10 and its
common difference is -3. What is the sum of the first
10 terms of this sequence?
Please hurry! ill give brainliest
Answer:
The sum of the first ten terms is -35.
Step-by-step explanation:
The first term of an arithmetic sequence is 10, and its common difference is -3.
We want to find the sum of the first 10 terms of this sequence.
Remember that the sum for an arithmetic sequence is given by:
\(\displaystyle S=\frac{k}{2}\left(a+x_k\right)\)
Where k is the number of terms, a is the initial/first term, and x_k is the last term.
Since our initial term is 10, a = 10.
And since we want to find the sum of the first ten terms, k = 10.
So, we will need to find the last or tenth term. We can write an explicit formula. The standard explicit formula for an arithmetic sequence is:
\(x_n=a+d(n-1)\)
Where a is the initial term and d is the common difference.
So, by substituting, we acquire:
\(x_n=10-3(n-1)\)
Then the tenth or last term is:
\(x_{10}=10-3(10-1)=10-3(9)=10-27= -17\)
Then the sum of the first ten terms will be:
\(\displaystyle S_{10}=\frac{10}{2}(10+(-17))=5(-7)=-35\)
Answer:
-35
Step-by-step explanation:
\(a_{1}\) = 10+(-3)(0) = 10
\(a_{10}\) = 10+(-3)(9) = -17
\(S_{10}\) = 10[(10 -17)/2] = 10(-7/2) = -70/2
2. In AKLM, m = 5.9 cm, k = 7.1 cm and of 1, to the nearest 10th of a centimeter.
The length of side KL is approximately 4.8 cm.
To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle. In other words:
a/sin(A) = b/sin(B) = c/sin(C)
Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.
Using the Law of Sines, we can set up the following proportion:
l/sin(L) = m/sin(M)
Where l is the length of side KL, L is the measure of angle KLM (which is 72 degrees), m is the length of side LM, and M is the measure of angle KML (which we can find by subtracting L from 180 degrees).
M = 180 - L
= 180 - 72
= 108 degrees
Now we can substitute the given values into the proportion and solve for l:
l/sin(72) = 5.9/sin(108)
l = sin(72) * (5.9/sin(108))
≈ 4.8 cm (rounded to the nearest 10th of a centimeter)
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serenity held a fundraiser for her school and raised a total of $500. She received $150 in donations and then an additional $10 for every candle she sold.
Answer:
450 $ in tottle for every candle she sold.
Step-by-step explanation:
Consider the following sets of sample data:A: $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100B: 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
The coefficient of variation for A is 20.37% and for B is 15.98%.
What is coefficient of variation?
In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.
We know that formula for coefficient of variation is
CV = Standard Deviation / Mean
A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100
Mean = 411200 / 14
Mean = $29371.42
Similarly,
Standard Deviation = $5984.52
So,
CV = 5984.52 / 29371.42 * 100
CV = 20.37%
B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98
Mean = 43.42 / 11
Mean = $3.94
Similarly,
Standard Deviation = $0.63
So,
CV = 0.63 / 3.94 * 100
CV = 15.98%
Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.
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Which is a counterexample of the following conditional?
"If a number is divisible by seven, then it is odd."
28
21
7
1
A counterexample of the conditional "If a number is divisible by seven, then it is odd" is given as follows:
28.
How to obtain the counterexample?The conditional for this problem is defined as follows:
"If a number is divisible by seven, then it is odd."
Then a counterexample is given by a number that is divisible by 7, but is even.
Hence the counterexample is the number 28, as it is divisible by 7, as 28/7 = 4, and is even, as it finishes with 8.
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Answer: 28
Step-by-step explanation: 28/7
what equation is used to find the vertex form of a parabola with the vertex (h, k)?
Answer:
y=a\((x-h)^{2}\)+h
Step-by-step explanation:
equation for vertex form of a parabola is,
y=a\((x-h)^{2}\)+h
Answer:
y=a+h
Step-by-step explanation:
x t-3 = y solve for t.
Answer:
t = (y+3)/x
Step-by-step explanation:
Step 1: Add 3 to both sides.
\(tx - 3 + 3 = y + 3\) \(tx = y + 3\)Step 2: Divide both sides by x.
\(\frac{tx}{x} = \frac{y+3}{x}\) \(t = \frac{y+3}{x}\)Therefore, the answer is \(t = \frac{y+3}{x}\).
\(\sf{Heya}\) ~
*ੈ✩‧₊˚ \(\mathfrak{Satori~ Tendō~is~here~to~help}\) ੈ✩‧₊˚
\(X~t-3=y\) Solve for t.\(\sf{solve~for~t,~Xt~-~3=y~:~t=\frac{y~+~3}{X} ;~X~∉~0\)
STEPS :\(\bold{Add~3~to~both~sides~:}\)
\(\sf{Xt~-~3~+~=~y~+~3}\)
\(\bold{Simplify~:}\)
\(\sf{Xt~=~y~+~3}\)
\(\bold{Divide~both~sides~by~X;}~X~∉~0\)
\(\sf{\frac{Xt}{X}~=~\frac{y}{X}~+~\frac{3}{X};~X~≠0\)
\(\bold{Simplify~:}\)
\(\sf{t=\frac{y~+~3}{X};~X~≠0\)
Hopefully This Helps !
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\(\underline{Answer~:}\)
\(\sf{Tendou}\) ~
Which is most likely the equation of the graph above?
Oy-5
O y=x+5
Ox=5
O y = 5x
Answer:
the answer is Y=5
hope this helps☺
Please help! Which of the following is NOT a true statement about the dilation shown at the right?
Answer:
the statement 'the dilation changed the orientation of the figure' is NOT true
Step-by-step explanation:
the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.
the first statement is true because it is an enlargement of the shape
the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)
and the fourth is true because the ratios are 1:1:1:1 for both shapes
Write the fractions described in each situation. Then write the fractions as a division problem. Darlene’s cat had a litter of 7 kittens. 3 of the kittens were black. What fraction of the kittens were NOT black
Answer:
Step-by-step explanation:
7 - 3 = 4 so 4
my tiger drawing is cool
Betty can mow a lawn in 20 minutes. Bullwinkle can mow the same lawn in 60 minutes. How long does it take for both Betty and Bullwinkle to mow the lawn if they are working together? Express your answer as a reduced fraction.
Answer:
15 minutes
Step-by-step explanation:
Betty mows at 3 times the speed that Bullwinkle does, so is equivalent to having 3 Bullwinkles in her place. That makes the lawn get mowed as though 4 Bullwinkles were working, so it will take 1/4 the time it takes Bullwinkle to mow the whole yard. 1/4 of 60 minutes is 15 minutes.
Working together, Betty and Bullwinkle will take 15 minutes to mow the lawn.
Find the Lowest Common Multiple (LCM) of 55 and 77.
Answer:
→ 55 = 5 × 11→ 77 = 7 × 11Now, the Lowest Common Multiple (LCM) of 55 & 77 is :
5 × 7 × 11 = 385385 is the right answer.please help me asap, i was absent the day we learned this and haven't been able to pick it up
Answer:
Your dead meat then...
Step-by-step explanation:
But I’m pretty sure its b?
sorry if it’s wrong
Answer:
the answer is c took this before
The total money earned if we sold for scarves at $20 each
Answer:
below
Step-by-step explanation:
Depending on the amount of scarves you sell, you will multiply that amount to $20 since that is the unit rate. For example, if you sold 5 then you would multiply; 20 * 5 = $100.
Best of Luck!
Answer:
Say t is the total money and x is the number of scarfs sold your equation would look like, t=20x
You could find the total amount of money earned by putting in the number of scarfs sold in x's spot.
write six and seven thousand four hundred thirty three ten thousandths in standard form
6.7433 would be your answer hope it helps
Answer:
---
Step-by-step explanation:
6.7433
I don't really know how to explain it.
-hope it helps
how much does michael jordan make a month
Answer:
he makes about $130 million a year.
Step-by-step explanation:
divide 130,000,000 by 12 and you get 10,833,333.3333. So approx. $10,833,333.30 per month.
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
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Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.
-10
The graph of the inverse function is given by the image presented at the end of the answer, and the correct option is given by option 3.
How to obtain the inverse function?The parent function for this problem is the cube function translated up two units, hence it is defined as follows:
y = x³ + 2.
To obtain the inverse function, first we must exchange the variables x and y on the definition of the function, as follows:
x = y³ + 2.
Then we must isolate the variable y, as follows:
\(y^3 = x + 2\)
\(y = \sqrt[3]{x + 2}\)
Which has the correct dashed graph given by option 3 on the image given.
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
PLEASE HELP ME SOLVE THIS QUESTION
ln(x^3 / (1 + x))
Answer:
3·ln(x) -ln(1+x)
Step-by-step explanation:
You want to "solve" the expression ln(x³/(1+x)).
Rules of logarithmsThe relevant rules of logarithms are ...
ln(a^b) = b·ln(a)
ln(a/b) = ln(a) -ln(b)
ApplicationThe given log expression can be expanded as ...
\(\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}\)
Which equation shows the zero property of multiplication
A. 4×0=0
B. 9+9+9=3×9
C. 3×6=6×3
D. 5×1=1
Answer:
A. 4×0= 0
Step-by-step explanation:
since it shows that any number you multiply by 0 still gives you 0
What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The graph of the function is:
From it we notice that the y-intercept is zero
From the graph we determine that the domaina and range are:
\(\begin{gathered} \text{domain}=(-\infty,\infty) \\ \text{range}=\lbrack-16,\infty) \end{gathered}\)The function is decreasing in the interval:
\((-\infty,4)\)And it is increasing in the interval:
\((4,\infty)\)If f(x)=x²+5 and g(x)=3x, find
a. (f + g)(x)
b. (f-g)(x)
C. (f . g)(x)
d. (f/g)(x).
a. (f + g)(x)=______. (Simplify your answer.)
The equivalent expressions are given below;
a) x²+3x+5
b) x²-3x+5
c) 3x³+15x
d) x²+5/3x
Composite functionGiven the following function
f(x)=x²+5 and;
g(x)=3x
a) (f + g)(x) = f(x) + g(x)
(f + g)(x) = x²+5 + 3x
(f + g)(x) = x²+3x+5
b) (f - g)(x) = f(x) - g(x)
(f - g)(x) = x²+5 - 3x
(f - g)(x) = x²-3x+5
c) (f * g)(x) = f(x) * g(x)
(f * g)(x) = 3x(x²+5)
(f * g)(x) = 3x³+15x
d) (f/g)(x) = f(x)/g(x)
(f/g)(x) = x²+5/3x
This expressions gives the equivalent answer.
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If a >b, then A must be positive number.
Step-by-step explanation:
NO,IT DEPENDS UPON SITUATIONS
IF B IS -5 THEN A CAN BE -2,-4,-3 OR 1 ,2,3,4,......
(6+2)-15divided5*2. How can I add all this up
Answer
2
Step-by-step explanation:
6+2=8 15/5*2=6 8-6=2
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The coordinates of vertex D in the parallelogram are (-7, -10).
We have,
To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.
One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.
Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:
Find the vector representing one of the sides of the parallelogram.
We can use the vector AB.
Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)
= (6 - 8, -4 - 2)
= (-2, -6)
Add this vector to point C to find the coordinates of D.
Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)
= (-5 - 2, -4 - 6)
= (-7, -10)
Therefore,
The coordinates of vertex D are (-7, -10).
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Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
If there are 148 men work that work at your job and 97 women, what is the percentage of women who work at your job?
Use the given values on the table to determine a pattern and complete the table.
1st: -15
2nd: -8
3rd: -1
4th: 6
5th - ?
6th - ?
7th - ?
8th - ?
Step-by-step explanation:
5th - 13
6th - 20
7th - 27
8th - 34
♂️