Analysing the question:
We are given that the ratio between the blue and red color is 8 : 3
as long as the volumes of the colours added simplify to 8 : 3 , the color will be Perfect Purple
Lada's Solution:
Lada mixed 24 mL of blue water with 9 mL of red water
we will try to simplify this ratio:
24:9 = 24 / 9
8 / 3
8 : 3
Hence, the ratio of the colours in Lada's mixture is correct. So, Lada will get perfect purple water
Andre's Solution:
Andre mixed 16mL of Blue water with 9 mL of red water
we will try to simplify this ratio:
16 : 9 = 16 / 9
THIS RATIO CANNOT BE SIMPLIFIED
Hence, the ratio of blue and red color in Andre's mixture is 16 : 9
but the ratio for a perfect purple color is 8 : 3
Since the ratio in Andre's mixture is incorrect, she will NOT get the perfect purple colour
Answer:
Lada will get a color mixture that is the same shade as Perfect Purple Water.
Step-by-step explanation:
Proportions
The mix for Perfect Purple Water contains 8 ml of blue water with 3 ml of red water.
The exact proportion of both ingredients is, blue to red:
[tex]\displaystyle \frac{8}{3}[/tex]
Lada mixes 24 ml of blue water with 9 ml of red water. The proportion is:
[tex]\displaystyle \frac{24}{9}[/tex]
Simplifying by 3:
[tex]\displaystyle \frac{8}{3}[/tex]
The proportion obtained by Lada is the same shade as Perfect Purple Water.
Andre mixes 16 ml of blue water with 9 ml of red water, his proportion is:
[tex]\displaystyle \frac{16}{9}[/tex]
This fraction cannot be reduced and its result is not exactly the same as the perfect required proportion.
Thus, Lada will get a color mixture that is the same shade as Perfect Purple Water.
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
Answer:
0.625
Step-by-step explanation:
15 divided by 24 which equals 0.625
[tex]5/6(-8/15)[/tex]
Answer:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}[/tex]
Step-by-step explanation:
Fraction Multiplying
The product of two fractions can be obtained by multiplying their numerators and denominators separately. Then, simplify and show the result.
We are given the product:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}[/tex]
Multiply as directed:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=\frac{5*(-8)}{6*15}=-\frac{40}{90}[/tex]
Simplifying by 10:
[tex]\displaystyle -\frac{40}{90}=-\frac{4}{9}[/tex]
Thus:
[tex]\boxed{\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}}[/tex]
Which expression is equivalent to - 3/4 divided (-8/12)
Answer:
3/4
Step-by-step explanation:
There are no answer choices so I just solved the equation
-3/4 divided by -8/12
Flip -8/12 to -12/8
Multiply -3/4 by -12/8
24/32
Simplify.
12/16
Simplify some more.
6/8
Simplify even more.
3/4
Hope I helped :)
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Oak Grove and Salem are 78 km from
each other. How far apart would the cities
be on a map that has a scale of 1 cm: 13
km?
Answer:
690 km will take it.for good condition
Step-by-step explanation:
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Nine less than five times a number is equal to -30.
Answer: 5x-30-9
-159
Step-by-step explanation:
-159 is the answer
A part manufactured by plastic injection molding has a historical mean of 100 and a historical standard deviation of 8. Find the value of the mean thickness required to make the probability of exceeding 101 less than 8%.
Answer:
The probability of thickness exceeding 101 is 0.4483.
Step-by-step explanation:
Let X denote the thickness of the part manufactured by plastic injection molding.
Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.
Compute the probability of thickness exceeding 101 as follows:
[tex]P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})[/tex]
[tex]=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483[/tex]
Thus, the probability of thickness exceeding 101 is 0.4483.
Does the graph represent y as a linear function of x ?
Answer: yes because without the x the y does not have a corresonding oint
Are these triangles congruent? If so, name the triangle congruence method.
Answer:
The answer you chose is correct
Step-by-step explanation:
What is (-2,-2) and (-10,-9) on slope
Answer:
y=7/8x
Step-by-step explanation:
You use y2-y1/x2-x1 so we plug in the numbers into the equation
-9-(-2)/-10-(-2)=7/8
y=7/8x if in slope-intercept form
Andy was at Level –1 and took the elevator to Level 21. How many levels did the elevator move upward?
Answer: 22 Levels
Step-by-step explanation: He would need to go one level higher just to get to level one, and another 21 to get to the level that he wants to, so the total would be 22 levels.
Answer:
The elevator moved up 21 levels
Question 3: Determine the missing base in the equation problem below. 75eight = 23 base
Answer:
29
Step-by-step explanation:
Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:
[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]
Hence the missing base is 29
Find the slope of the line
Answer:
0
Step-by-step explanation:
The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario. A spinner with 4 equal sections. 3 sections are shaded. Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded? The flight will be late all three days. The flight will be on time all three days. The flight will be late on one of the three days. The flight will be on time on one of the three days.
Answer:
CORRECT OPTION is (C) The flight will be late on one of the three days.
Step-by-step explanation:
The 7am flight from Dallas to Chicago is on time 75% of the time.
A spinner with four sections was created by Fran to simulate this scenario.
Since the 4 sections were equal, it means each section was 25% of the spinner.
3 sections were shaded. That implies 25 × 3 = 75% of the spinner was shaded area.
This coincides with the 75% probability that the flight is on time on a given day.
In other words, if the spinner's pointer lands on shaded area, the flight will be on time. If the pointer lands on an unshaded portion, the flight will be late.
Now Fran spun the spinner 3 times so she has 3 outcomes. The outcomes are:
- Shaded - Shaded - Unshaded
CORRECT OPTION is (C) The flight will be late on one of the three days.
Answer:
C
Step-by-step explanation:
I did the test
Please explain step by step how you will answer the equation 4(x+6)-11= 25. You
may write down the problem and explain it when you are solving the equation.
Answer:
x=3
Step-by-step explanation:
4(x+6)-11= 25
Distribute the 4: 4x+24-11=25
Add the 11 on both sides: 4x+24=36
Subtract 24 from both sides: 4x=12
Divide 12 by 4 to isolate x: x=3
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What is 1 times 300
Answer:
300
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
300 x 1 = 300
1 x 300 = 300
Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.
a. -25
b. 2
c. 3
d. 1
Answer:
[tex]a = 1[/tex]
Step-by-step explanation:
Given
[tex]4x - 3(x + a) = 2[/tex]
[tex]x = 5[/tex]
Required
Determine the value of a
[tex]4x - 3(x + a) = 2[/tex]
Substitute 5 for x
[tex]4(5) - 3(5 + a) = 2[/tex]
Open all brackets
[tex]20 - 15 - 3a = 2[/tex]
[tex]5 - 3a = 2[/tex]
Collect Like Terms
[tex]-3a = 2 - 5[/tex]
[tex]-3a = -3[/tex]
Solve for a
[tex]a = -3/-3[/tex]
[tex]a = 1[/tex]
2〖sen〗^2 x+3 senx+1=0
2cotxsecx+ 2secx+cotx+1=0
senx〖cos〗^2 x=senx
2〖cos〗^2 x+2senx-12=0
2〖csc〗^2 x+〖cot〗^2 x-3=0
2 sin²(x) + 3 sin(x) + 1 = 0
(2 sin(x) + 1) (sin(x) + 1) = 0
2 sin(x) + 1 = 0 OR sin(x) + 1 = 0
sin(x) = -1/2 OR sin(x) = -1
The first equation gives two solution sets,
x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ
x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ
(where n is any integer), while the second equation gives
x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ
2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0
2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0
(2 sec(x) + 1) (cot(x) + 1) = 0
2 sec(x) + 1 = 0 OR cot(x) + 1 = 0
sec(x) = -1/2 OR cot(x) = -1
cos(x) = -2 OR tan(x) = -1
The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives
x = tan⁻¹(-1) + nπ = -π/4 + nπ
sin(x) cos²(x) = sin(x)
sin(x) cos²(x) - sin(x) = 0
sin(x) (cos²(x) - 1) = 0
sin(x) (-sin²(x)) = 0
sin³(x) = 0
sin(x) = 0
x = sin⁻¹(0) + 2nπ = 2nπ
2 cos²(x) + 2 sin(x) - 12 = 0
2 (1 - sin²(x)) + 2 sin(x) - 12 = 0
-2 sin²(x) + 2 sin(x) - 10 = 0
sin²(x) - sin(x) + 5 = 0
Using the quadratic formula, we get
sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2
but the square root contains a negative number, which means there is no real solution.
2 csc²(x) + cot²(x) - 3 = 0
2 (cot²(x) + 1) + cot²(x) - 3 = 0
3 cot²(x) - 1 = 0
cot²(x) = 1/3
tan²(x) = 3
tan(x) = ± √3
x = tan⁻¹(√3) + nπ OR x = tan⁻¹(-√3) + nπ
x = π/3 + nπ OR x = -π/3 + nπ
Written as a rate 210 miles in 6 hours would be miles per hour
Answer:
35 mph
Step-by-step explanation:
210/6=35
Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.
Answer:
2 times 8 = 16 divided by 3 leaves a remander of 1
Step-by-step explanation:
The smallest whole number is 22.
What is Least Common Multiple?Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
Given:
First find the LCM of 7 and 3 .
LCM = 3 x 7 = 21
So, we will add remainder 1 (as given) to the LCM .
= 21+ 1
= 22
Learn more about LCM here:
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please hurry I need this fast
anybody know ???????????
Answer:
1. constant: 2
2. you can use slope intercept
3. 4 pounds equal 40 cents
4. because it is linear
Step-by-step explanation:
HELP PLEASE:(( I will give brainliest
Answer:
15
Step-by-step explanation:
Robert earned $300 for 6 hours of work. How much did he make in dollars per hour?
Robert earned $
per hour
Will mark brainliest
Q
Answer:
$50
Step-by-step explanation:
Point B is on line segment AC. Given BC
7 and AC
11, determine the length
AB.
Answer:
4
Step-by-step explanation:
Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.
The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.
What is a line segment?A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.
Given:
Point B is on the line segment AC, BC = 7 and AC = 11,
Write the expression for the above phrase as shown below,
The length of the AC = The length of AB + the length of BC
11 = 7 + The length of AB
The length of AB = 11 - 7
The length of AB = 4
Thus, The length of AB is 4.
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Please help me and answer ASAP !! I’ll mark brainliest.
Answer:
7 miles! hope this helps. :)
Step-by-step explanation:
Answer:
The answer is 69
Step-by-step explanation:
1 quart= 4cups=1.96, Each cup coat?
Answer:
Step-by-step explanation:
Sorry but please give detailed question
What is the answer 17 divided by 5177 equals
Answer to How much is 5177 divided by 17 using long division ?
Math answers to fraction 5177 divided by 17 can be calculated as follows.
5177/17 math problems division = 304.529411765. Therefore 304.529411765 to 2 decimal places= 304.53
5177/17 divided by 2 » (5177/17) ÷ 2 » 304.529411765 ÷ 2 = 152.264705882
Please help!!!!!!!! What is the measure of angle 4?
Answer:
30°
Step-by-step explanation:
<4=<2=30
(vertical opposite angles are equal)
Answer:
30 degrees
Step-by-step explanation:
Since 4 is equal on the other side of 2, it would be congruent, which is the same as 2. So, 30 degrees.
Given a central angle of 252° and an arc length of 44 ft, determine the radius.
Answer:
10ft
Step-by-step explanation:
Given parameters:
Central angle = 252°
Arc length = 44ft
Unknown:
Radius = ?
Solution:
To find the radius of the circle, let us use the expression;
Arc length = [tex]\frac{central angle}{360}[/tex] x 2πr
Insert the parameters and solve for r,
44 = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r
44 = 4.4r
r = 10ft
Which equation demonstrates appropriate use of the distributive property?
A. 9 (x + 2y) = 9x + 2y
B. 9 (x + 2y) = 9x + 18y
C.9 (xy) (9x) (9y)
D. 9 (x + 0) - 9x + 9
Answer:
B
Step-by-step explanation: