Eve is mixing paint to match a specific shade of orange. She mixes red paint and yellow paint
in different ratios. The color matches best when Eve uses 4 ounces of red paint and ounces of
yellow paint.
Eve has 1 ounce of red paint left. How many ounces of yellow paint should she add to match the
same shade of orange?
Answers
In order to get a precise orange color, Eve is mixing paint. She combines various ratios of red and yellow paint.
Eve finds that using 4 ounces of red paint and 1 ounce of yellow paint results in the best color matching. Eve still has one ounce of red paint. To get orange shade she has to add 4 ounces of yellow paint to get same shade.
Given that,
In order to get a precise orange color, Eve is mixing paint. She combines various ratios of red and yellow paint. Eve finds that using 4 ounces of red paint and 1 ounce of yellow paint results in the best color matching. Eve still has one ounce of red paint.
We have to see the ratio
4:1
extra 1 red paint that is
4+1:1
5:1
Therefore, To get orange shade she has to add 4 ounces of yellow paint to get same shade.
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Related Questions
What is the length of leg s of the triangle below?
45°
90°
45°
10v2
Answers
Answer:
B
Step-by-step explanation:
The 45 45 90 triangle means that the hypotenuse is just one of the two legs multiplied by rad2. This means that leg s is 10.
The length of the leg is 10.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 45 = Opposite face to angle 45/ Hypotenuse
1/√2 = s / 10√2
s = 10√2 / √2
s = 10
Thus,
The length of the leg is 10.
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Solve by factoring. Check your answers. 2 x²+x=3
Answers
The factoring of the expression 2 x²+x=3 is (x-1) (2x+3)
By ordering the values, we get:
2x² + x - 3 = 0
To solve this exercise, we have to follow the rules of factoring:
1. Factor 1 from 1x:
2x² + x - 3 = 0
2x² + (-2 + 3) x -3 = 0
2. Apply the distributive property:
2x² - 2x + 3x - 3 = 0
3. Groups the first two terms and the last two terms:
(2x² - 2x) + 3x - 3 = 0
4. Factorize the greatest common denominator (GCM) of each group:
2x(x - 1) + 3(x - 1) = 0
5. Simplify the common term (x - 1) with the distributive property:
(x-1) (2x+3)
What is factoring?Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.
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15. Consider the function f(x)=x^{2}-2 x+1 . a. Determine the slope at any point x . [2] b. Determine the slope at the point with x -coordinate 5. [1] c. Determine the equation of the t
Answers
The slope at any point x is f'(x) = 2x - 2.
The slope at the point with x-coordinate 5 is:f'(5) = 2(5) - 2 = 8
The equation of the tangent line to the function at the point where x = 5 is y = 8x - 24.
Given function f(x) = x² - 2x + 1. We need to find out the slope at any point x and the slope at the point with x-coordinate 5, and determine the equation of the tangent line to the function at the point where x = 5.
a) To determine the slope of the function at any point x, we need to take the first derivative of the function. The derivative of the given function f(x) = x² - 2x + 1 is:f'(x) = d/dx (x² - 2x + 1) = 2x - 2Therefore, the slope at any point x is f'(x) = 2x - 2.
b) To determine the slope of the function at the point with x-coordinate 5, we need to substitute x = 5 in the first derivative of the function. Therefore, the slope at the point with x-coordinate 5 is: f'(5) = 2(5) - 2 = 8
c) To find the equation of the tangent line to the function at the point where x = 5, we need to find the y-coordinate of the point where x = 5. This can be done by substituting x = 5 in the given function: f(5) = 5² - 2(5) + 1 = 16The point where x = 5 is (5, 16). The slope of the tangent line at this point is f'(5) = 8. To find the equation of the tangent line, we need to use the point-slope form of the equation of a line: y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the point on the line. Substituting the values of m, x1 and y1 in the above equation, we get: y - 16 = 8(x - 5)Simplifying, we get: y = 8x - 24Therefore, the equation of the tangent line to the function at the point where x = 5 is y = 8x - 24.
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will mark as brainlist!!!!pls include steps
Answers
Step-by-step explanation:
a) 1.16× 10^-6
standard form should be less than 10. therefore, count decimal places from where the decimal point is located to the right until you reach a number less than 10 ....count the number of shifts in the above is 6 shifts to the right. when moving to the right, power will be negative.(-6)
1.157/1.16 ×10^-6
b) 6.79 × 10^10
67890000000....count till a number less than 10.there will be 10 shifts to the left. the 10 will be your power,(positive) since u r moving to the left exponent is positive
6.789/6.79 × 10^10
\(1.157 \times {10}^{ - 6} \)
\(6.79 \times {10}^{10} \)
Step-by-step explanation:
\(mark \: me \: as \: brainliest\)
At Skylight Books, 6 books cost $54. How many books could you buy for $72?
Answers
Explination: 54 divided by 6= 9 So 9x2=18 54+18=72
in a town, 45% of all households have a pet and 35% have children. 40% of all households with children have a pet. a household is chosen at random. find the probability of that household
Answers
Based on these results, the probability of the next flip resulting in a head is still 0.5.
The probability of getting a head on the next flip of a fair coin does not depend on the previous outcomes. Each coin flip is an independent event, and the probability of getting a head or a tail remains the same for each flip.
Since the coin is fair, the probability of getting a head on any given flip is 0.5, and the probability of getting a tail is also 0.5. Therefore, based on these results, the probability of the next flip resulting in a head is still 0.5.
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solve each equation,with work shown
-6 = a/13
m/11 =19
p -1 = -17
3= 3/5n
31/10= r+ 2⅗
-6/5 =⅘k
-12/5 = 1+a
p+ ½ = 5/2
Answers
The values of the variables in the equation will be:
1. a = -78
2. m = 209
3. p = -16
4. n = 1/5
5. r = 1/2
6. k = = -3/2
7. a = -13.5
8. p = 2
How to illustrate the information?-6 = a/13
Cross multiply
a = 13 × -6
a = -78
m/11 =19
Cross multiply
m = 19 × 11
m = 209
p -1 = -17
p = -17 + 1
p = -16
3= 3/5n
5n = 3/3
5n = 1
Divide
n = 1/5
31/10= r+ 2⅗
r = 31/10 - 2 3/5
r = 31/10 - 13/5
r = 5/10
r = 1/2
-6/5 =⅘k
Divide
k = -6/5 × 5/4
k = -3/2
-12/5 = 1+a
a = -12.5 - 1
a = -13.5
p+ ½ = 5/2
p = 5/2 - 1/2
p = 2
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question which system of equations models the following problem if x represents the number of angelfish yves bought and y represents the number of parrotfish he bought? yves bought 420 tropical fish for a museum display. he bought 6 times as many parrotfish as angelfish. how many of each type of fish did he buy?
Answers
Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."
Calculation:x + y = 420; y = 6x
Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."
How well-versed are you in fish size?The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.
How many parrotfish purchased by Carlos?The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.
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after euclid high school's last basketball game, it was determined that 1/4 of the team's points were scored by alexa and 2/7 were scored by brittany. chelsea scored 15 points. none of the other 7 team members scored more than 2 points. what was the total number of points scored by the other 7 team members?
Answers
The total number of points scored by the other 7 team members in Euclid high school's last basketball game is 11.
What is defined as the term two variable equation?If an equation is written in the form ax + by + c=0, where a, b, and c are real integers as well as the coefficients of x and y, i.e., a and b, respectively, really aren't equal to zero, then it is said to be a linear function in two variables.For the given question.
Let 't' be the total points scored.
Alexa = 1/4 t.
Brittany = 2/7 t
Chelsea = 15
Let 'x' be the points scored by remaining 7 team.
Thus, the two variable equation becomes.
1/4 t + 2/7 t + 15 + x = t .....eq 1
Where, x ≤ 14 ( for 7 terams)
Simplifying eq 1.
15 + x = 13/ 28 t
28x + 28 = 13 t
Now, t must be divisible by 28.
Let t = 28 u, u ≥ 0 and divisible by 28.
Thus,
x + 15 = 13u.
Then, u = 2( t = 56) has been the only candidates for which x = 11.
Thus, the total number of points scored by the other 7 team members is 11.
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Val rented a bicycle while she was on vacation she paid a flat rental fee of $55.00 plus $8.50 each day the total cost was $123 write and equation you can use to find the number of days she rented the bicycle
Answers
Answer:
55+8.5x=123
Step-by-step explanation:
The 55 represents the flat fee, the 8.5 represents the daily charge, x represents the number of days she rented it for, and 123 is the total amount
Doing the math it adds up to 123 as your answer
List all the ordered arrangements of 5 objects a, b, c, d, and e.
a. Choosing 2 at a time without repetition, but order counts.
b. Choosing 2 at a time without repetition, but order doesn't count.
c. Choosing 2 at a time with repetition. How many possible arrangements?
Answers
There are 5 * 5 = 25 possible arrangements. Some examples include aa, bb, cc, dd, ee, ab, ac, ad, ae, ba, bb, bc, bd, be, and so on.
a. Choosing 2 objects at a time without repetition and with order counting: The ordered arrangements of 5 objects (a, b, c, d, e) taken 2 at a time without repetition and with order counting are: ab, ac, ad, ae,
ba, bc, bd, be,
ca, cb, cd, ce,
da, db, dc, de,
ea, eb, ec, ed.
b. Choosing 2 objects at a time without repetition and without order counting: The unordered arrangements of 5 objects (a, b, c, d, e) taken 2 at a time without repetition and without order counting are: ab, ac, ad, ae,
bc, bd, be,
cd, ce,
de.
c.Choosing 2 objects at a time with repetition: In this case, we can choose any of the 5 objects for the first position, and any of the 5 objects (including repetition) for the second position.
Therefore, there are 5 * 5 = 25 possible arrangements. Some examples include aa, bb, cc, dd, ee, ab, ac, ad, ae, ba, bb, bc, bd, be, and so on.
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A point lies on AB¯¯¯¯¯ and is located 34 the distance from A to B.
What are the coordinates of this point?
(3, 2)
(4, 2)
(8, 2)
(9, 2)
Answers
Bc it just is. I just did the quiz and I got the answer right
hellohello, this needs to be turned in tomorrow so if you could help, i would really appreciate it. :]
![hellohello, this needs to be turned in tomorrow so if you could help, i would really appreciate it. :]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/YcpQmp0DGEGpKxyCoaAmYJ4gGnmKJ96B.jpeg)
Answers
Answer and Step-by-step explanation:
We are given the side lengths, so all we have to do is multiply each rectangle's lengths and widths to get their areas, then add them together,
Top rectangle Area:
4 × 7 = 28
Bottom rectangle Area:
6 × 8 = 48
Now, we add them together.
Total Area:
28 + 48 = 76
The total area of the figure is 76 \(units^{2}\).
#teamtrees #PAW (Plant And Water)
if the pressure in the right tire is found to be 22 psi, what is the probability that the left tire has a pressure of at least 25 psi?
Answers
Considering the given probability distribution, we have that there is a 0.349 = 34.9% probability that the left tire has a pressure of at least 25 psi.
What is the probability distribution?The probability distribution for the air pressure of the tires of the car(X right, Y left) is given as follows:
f(x,y) = K(x² + y²), 18 ≤ x ≤ 28, 18 ≤ y ≤ 28.f(x,y) = 0, otherwise.The pressure in the right tire is found to be 22 psi, hence y = 22 and:
f(x,y) = K(x² + 484), 18 ≤ x ≤ 28.f(x,y) = 0, otherwise.The value of K is found considering that the sum of all probabilities has to be 1, hence:
\(\int_{18}^{28} K(x^2 + 484) dx = 1\)
\(\frac{Kx^3}{3} + 484Kx\lbracket|_{x = 18}^{x = 28} = 1\)
Applying the Fundamental Theorem of Calculus:
7317.33K + 13552K - 8712K - 1944K = 1
10213.33K = 1
K = 1/10213.33
K = 0.000098.
The probability that the left tire has a pressure of at least 25 psi is:
\(P(X \geq 25) = \int_{25}^{28} 0.000098(x^2 + 484) dx\)
\(P(X \geq 25) = 0.000098\int_{25}^{28} (x^2 + 484) dx\)
\(P(X \geq 25) = 0.000098\left(\frac{x^3}{3} + 484x\right)_{x = 25}^{x = 28}\)
\(P(X \geq 25) = 0.000098(7317.33 + 13552 - 5208.33 - 12100)\)
\(P(X \geq 25) = 0.349\)
0.349 = 34.9% probability that the left tire has a pressure of at least 25 psi.
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perimeter of a ground is 6m. Find the cost of fencing it at the rate of rs 250per meter
Answers
Answer:
to find the rate of fencing, you should find the perimeter of the rectangle.
2(l+b)
2(155+125)
2*180
360m
cost of fencing = 360*10
= Rs 3600
now to find the cost of fielding, find the area
(l*b)
155*125
19375 square mtr
cost of fielding = 19375*15
= Rs 290625
Step-by-step explanation:
In a fruit cocktail, for every 18 ml of orange juice you need 3 ml of apple juice and 54 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Answers
Answer:
1:18:6
Step-by-step explanation:
3:54:18
This equals 1:18:6
Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
Answers
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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i need help on this plz!
Answers
Its 23
Step-by-step explanation:
Darin wants to put a fence around his garden how much fencing should he buy.
Answers
Answer:
I don't know. How much he wants I guess.
Step-by-step explanation:
Help pls!! Find the area
Answers
Answer:
17.5 for perpendicular triangle
Step-by-step explanation:
A= 1/2 ( b*h )
A= 1/2 ( 7*5)
A= 1/2 ( 35)
A= 17.5
plz help me solve this question algebraic expression 64p^4+81q^4
Answers
Answer:
you can see in above photo
Step-by-step explanation:
hope it helps!!
Answer:
(8p+9q)⋅(8p−9q)
Can you help me solve this!
Answers
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches
What is the value of 2 cubed plus 5 squared
Answers
Answer:
33 is the answer
Jamie took 7 maths tests and got a score of 68,71,71,84,53,62 and 67 .What was Jamie's mode score?
Answers
The function f(x) is shown in this graph. The graph g(x)=-2x-5. Compare the slops and y-intercepts
Answers
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The slope of g(x) = -2 - 5 is
The y-intercept of g(x) = -2 - 5 is
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
g(x) = -2x - 5
Let,
g(x) = y
This is in the form of y = mx + c
Now,
m = -2
c = -5
Thus,
The slope of g(x) = -2 - 5 is
The y-intercept of g(x) = -2 - 5 is
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5. Jake drew a model on grid paper
of a kite that he wants to make.
Each grid line represents 10 cm.
His drawing has coordinates (1,
5), (3, 6), (5, 5), and (3, 0). Sketch
Jake's kite, and calculate the area
of the real kite.
Answers
Based on the information given ,it should be noted that the area of the real kite will be 1615.548 cm²
How to calculate the areaThe given coordinates are:
(1, 5) -> (10 cm, 50 cm)
(3, 6) -> (30 cm, 60 cm)
(5, 5) -> (50 cm, 50 cm)
(3, 0) -> (30 cm, 0 cm)
Base = Distance between (10 cm, 50 cm) and (30 cm, 0 cm)
= ✓((30 cm - 10 cm)² + (0 cm - 50 cm)²)
= ✓(400 + 2500)
= ✓(2900) cm
Height = Distance between (30 cm, 60 cm) and (30 cm, 0 cm)
= 60 cm - 0 cm
= 60 cm
Area of Triangle 1 = (1/2) * Base * Height
= (1/2) * ✓(2900) cm * 60 cm
= 1615.548 cm²
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Find the greatest common factor of 30 and 75.
Answers
Answer:
15
Step-by-step explanation:
prime factorization of 30 is 2*3*5
prime factorization of 75 is 3*5*5
3*5 is common
The cost of renting a car is $39 plus $0.75 per mile. Which type of
function can represent this situation?
A) linear
B) exponential
Answers
Answer:
linear
Step-by-step explanation:
We can write this in the form
y = mx+b
where m is the .75 per mile and b is the 39 dollars
y = .75x + 39
the sides of a triangle are xcm,x+3cm and 10cm. If x is a whole numberof x, find the highest value of x
Answers
Highest possible whole number is 3.
What is properties of triangle?A triangle has three sides, three angles, and three vertices, which are its characteristics. A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property. Any two triangle sides can add up to a length that is longer than the third side.
Given Data
Sum of length of any two sides of a triangle is always equal to the third side.
For sides a, b and c
We must have, a + b > c
Sides of triangle are x, x +3 and 10cm
So,
x + x+ 3 > 10
2x > 10 - 3
2x> 7
x > \(\frac{7}{2}\)
Possible values of x are 3.5, 3, and so on.
Highest possible whole number is 3.
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ariana was looking at rent costs for 5 55 apartments. each rent was a different amount between $ 1 , 000 $1,000dollar sign, 1, comma, 000 and $ 1 , 400 $1,400dollar sign, 1, comma, 400 per month, except for one apartment whose rent was $ 4 , 800 $4,800dollar sign, 4, comma, 800 per month. [hide data] ariana looked at the mean and median of the rents. then, she decided to remove the $ 4 , 800 $4,800dollar sign, 4, comma, 800 rent from the set and recalculate the mean and median. how will removing this rent affect the mean and median? choose 1 answer: choose 1 answer:
Answers
If Ariana removes the $4,800 rent from the set, the mean and median of the remaining rents will decrease because $4,800 is a very high value compared to the other rents.
Before removing the $4,800 rent, the mean can be calculated by adding up all the rents and dividing by the total number of rents (5):
Mean = (1,000 + 1,200 + 1,300 + 1,400 + 4,800) / 5 = 2,540
The median is the middle value in the set, which is 1,300.
After removing the $4,800 rent, the new mean can be calculated by adding up the remaining rents and dividing by the new total number of rents (4):
New Mean = (1,000 + 1,200 + 1,300 + 1,400) / 4 = 1,225
The new median is still 1,300 because it is the middle value in the remaining set.
Therefore, removing the $4,800 rent will decrease both the mean and median of the remaining rents.
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