Answer:
[tex]Ratio = 0.74[/tex]
Step-by-step explanation:
Represent
- Andy with A
- Christopher with C
[tex]A = 3.5L[/tex]
[tex]C = 2580mL[/tex]
Required
Determine the ratio of C to A
Ratio is represented as thus:
[tex]Ratio = C:A[/tex]
Rewrite as fraction
[tex]Ratio = \frac{C}{A}[/tex]
This gives
[tex]Ratio = \frac{2580mL}{3.5L}[/tex]
Convert L to mL
[tex]Ratio = \frac{2580mL}{3.5*1000mL}[/tex]
[tex]Ratio = \frac{2580mL}{3500mL}[/tex]
[tex]Ratio = \frac{2580}{3500}[/tex]
[tex]Ratio = 0.73714285714[/tex]
[tex]Ratio = 0.74[/tex] --- Approximated
Given that
5x:9=7:3
Calculate the value of
x
Answer:
x = 4.2Step-by-step explanation:
Given 5x:9=7:3 To findThe value of xSolution5x:9=7:3 5x = 7*9/35x = 7*35x = 21x = 21/5x = 4.2Answer:
4.2
Step-by-step explanation:
5x:9=7:3
5x/9=7/3
5X×3=7×9
15x=63
X=63/15
X=4.2
So the value of the X is 4.2
Helpppppp I don’t get it
Answer:
-3y + 2x - 4
Step-by-step explanation:
Answer:
-3y - 4 + 2x
Step-by-step explanation:
when it says combine like terms, it means combine the terms that have the same variable
-7y, -2y, and 6y all have the same variable: y
so when you combine them, you get -3y (notice that the variable doesn't change, only the number in front of it does)
-2 and -2 are like terms, they don't have a variable
when you combine them, you get -4
-4x and 6x are like terms, their common variable is x
when you combine these, you get 2x
now put your answers together to get -3y - 4 + 2x
which of the following is a solution to the inequality 4x-5y<10
Answer:what is the following
Step-by-step explanation:
Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115
The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Let the interior alternate angle to 65° be y.
Now, y=65° (Alternate interior angles are equal)
Here, y°+x°=180° (Adjacent angles)
65°+x°=180°
x°=115°
Therefore, option D is the correct answer.
To learn more about the alternate interior angles visit:
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Suppose the y-intercept of a line is - 7 and the slope of the line is
-4/3
Which statement is true about the line?
A)The line falls from left to right.
B)The y-intercept is at (-7,0)
C)The equation of the line is y= 4/3x+7
D)The equation of the line is y= -4/3x+7
Answer:
A
Step-by-step explanation:
Since the slope is negative the line falls left to right.
The equation of the line falls from left to right.
What is a slope?The slope of a line, commonly referred to as its gradient, in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given, the y-intercept of a line is - 7 and the slope of the line is -4/3.
And the standard form of the slope-intercept form:
y = mx + b,
where m is the slope and b is the y-intercept.
Here, m = -4/3 and b = -7.
Substituting the above values to the standard slope-intercept form,
y = (-4/3)x + (-7)
y = (-4/3)x -7
And the line falls from left to right.
Therefore, the line falls from left to right.
To learn more about the slope;
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hey. help pls and thank you
At the age of 28, you decide to invest into a 20-Year Endowment insurance policy. The face value for the policy that you are interested on is $91,500. Using the provided table, determine the annual premium for a 28-year-old healthy female seeking a 20-Year Endowment. Use the table provided below and round your answer to the nearest cent where necessary. A 7-column table with 4 rows title Permanent Insurance. Column 1 is labeled Age with entries 25, 26, 27, 28. Column 2 is labeled Whole life male (dollars) with entries 16.38, 16.91, 17.27, 17.76. Column 3 is labeled whole life female (dollars) with entries 14.38, 14.77, 15.23, 15.66. Column 4 is labeled 20-payment life male (dollars) with entries 28.40, 29.11, 29.97, 30.68. Column 5 is labeled 20-payment life female (dollars) with entries 25.04, 25.96, 26.83, 27.54. Column 6 is labeled 20-year endowment male (dollars) with entries 37.02, 37.67, 38.23, 38.96. Column 7 is labeled 20-year endowment female (dollars) with entries 34.87, 35.30, 35.96, 36.44. a. $3,334.26 c. $3,229.95 b. $3,290.34 d. $3,190.61
Answer is A edge
Answer:
A
Step-by-step explanation:
Answer:
the is a. $3,334.26
Step-by-step explanation:
How do you divide decimals 10.305 divided by2.5?
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[tex]10.305 \div 2.5 = [/tex]
[tex]10.305 \div \frac{10}{4} = \\ [/tex]
[tex]10.305 \times \frac{4}{10} = \\ [/tex]
[tex] \frac{10.305 \times 4}{10} = \\ [/tex]
[tex] \frac{41.220}{10} = \\ [/tex]
[tex]4.1220[/tex]
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Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction
Answer:
2
Step-by-step explanation:
please help!! this is due at 3 i don’t know how to do this one
Answer: y = 1/3x + 2
Step-by-step explanation:
You basically use the rise over run method and see the slope increases by 1/3 ( it comes up one and goes right 3 ) and it starts at 2
D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F
Answer:
A) E, F, H, N
Step-by-step explanation:
I think so......
What is 0.0033 in scientific notation?
Answer:
[tex]=3.3*10^{-3}[/tex]
The diagram shows a triangle.
2x
60°
2x
What is the value of x?
Х=
Answer:
X=30
Step-by-step explanation:
It is a equilateral triangle so all side are the same
You would add the x's so it would be 4x + 60 = 180
Thats 4x = 120
Divide 120 by 4 and u get 30
Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan
Answer:
2415 Chinese yuan (rounded off to nearest yuan)
Step-by-step explanation:
£0.13 = 1 Chinese yuan
£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan
= 2415 Chinese yuan (rounded off to nearest yuan)
y=- 4
A slope: 0; y-intercept: -4
B slope: undefined; y-intercept: none
C slope: 1; y-intercept:-4
D slope: -4; y-intercept: -4
Answer:
A
Step-by-step explanation:
The slope is 0 and the y-intercept is -4 because that is where the graph crosses the y-intercept :)
Graph this compound inequality: x 9.8
3. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points
207 x 103
°
2.07 x 10-2
Option 1
O Option 2
207 x 10-3
2.07 x 10-3
Please Help!!!!!!!
Bert keeps honey bees on his farm. When he first started, he used a 6-frame beehive that held 40 pounds of honey. Now, he uses a 30-frame beehive. It has the same ratio of frames to honey as the smaller beehive. How much honey does Bert's new beehive hold?
Answer:
180?
Step-by-step explanation:
Answer: The new beehive will hold 200 pounds of honey
Explanation: 30 divided by 6 is five so 40*5 is 200
please help me with math
1.45
--
Decimal as fraction
Answer:
1.45 as a fraction is 29/20
Step-by-step explanation:
f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3
Find (f +g)(x).
Answer:
5x^3 - 4x^2 + 6x - 7Step-by-step explanation:
Given
f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3To find
(f +g)(x)Solution
(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3 =5x^3 - 4x^2 + 6x - 7Simplify: –3|–2| + 4|–5
Answer:
14
Step-by-step explanation:
–3|–2| + 4|–5|
-3 · 2 + 4 · 5
-6 + 20
14
what is the value of x if a² + ax - 10 is divided by a-2?
help with computation po
Answer:
x = 3
Step-by-step explanation:
We need it in factorized form to get x.
If the quadratic equation can be divided by a-2 the first part is:
(a-2)
Now to get a², the a must be multpilied by itself. So
(a-2)(a)
To get -10, -2 must be multiplied by 5. So:
(a-2)(a+5)
we can expand to get x
a² + 5a - 2a -10
a² + 3a - 10
a² + ax - 10
x = 3
A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?
Answer:
The expected game value is -1 cent
Step-by-step explanation:
Here, we want to calculate the expected value of the game
We have 4 aces and 4 kings, including 26 red cards
The number of aces is 4
Probability of drawing an ace is 4/52 = 1/13
Probability of drawing a king is also 4/52 = 1/13
There are 26 red cards
The number of red cards that are neither ace nor king
There are 2 red aces and 2 red kings
So the number of cards that are red but are not
aces nor kings are 26-2-2 = 22
The probability of selecting this is 22/52 = 11/26
So the expected value is simply the probability multiplied by the amount
Thus, we have;
(60 * 1/13) + (30 * 1/13) + (5 * 11/26)
= 60/13 + 30/13 + 55/26
= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents
we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent
Find the quotient: (27^x+3)/(9^x+2)
Answer:
Mutiply each bracket together and then separate the terms with x
An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?
Answer: 8
Step-by-step explanation:
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
Calculation of the time taken:Since An element with a mass of 650 grams decays by 13.2% per minute. and there is 220 grams of the element remaining.
So, the mass decays be
= 650 - 220
= 430
Now the total percentage be like
[tex]= 430 \div 650[/tex]
= 66.15%
Now the time taken should be
= [tex]66.15\div 13.2[/tex]
= 5 minutes
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
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4x + 16y = -19
-2x - 8y = 10
Answer:
No solution.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x + 16y = -19
-2x - 8y = 10
Step 2: Rewrite systems
-2x - 8y = 10
Add 8y to both sides: -2x = 8y + 10Divide -2 on both sides: x = -4y - 5Step 3: Redefine systems
4x + 16y = -19
x = -4y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-4y - 5) + 16y = -19Distribute 4: -16y - 20 + 16y = -19Combine like terms: -20 ≠ -19Here we see that -20 does not equal -19.
∴ This systems of equations has no solution
Step 5: Graph
Check the systems.
Hard to see, but they are parallel lines.
HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°
Can someone help please
Answer:
BCEDAI hope this helps!
The scores on a standardized test are normally distributed. If a random sample of standardized test scores is taken and the confidence interval is (92.3,120.7), what is the sample mean x¯?
Answer: 106.5
Step-by-step explanation:
We know that, Confidence interval for population mean is given by :-
( Sample mean - Margin of error , Sample mean + Margin of error)
Given: confidence interval is (92.3, 120.7).
i.e. Sample mean - Margin of error = 92.3 (i)
Sample mean + Margin of error = 120.7 (ii)
Adding (i) and (ii) , we get
2( Sample mean ) = 213
⇒ Sample mean = 106.5
Hence, the sample mean [tex](\overline{x})[/tex] = 106.5