Answer:
8/9
Step-by-step explanation:
Order of operations: Parentheses first.
(30+6)=36,
Then subtract 32
36-32 = 4
Left to right, so don't divide by 18. Instead, divide by 9.
4/9 = 4/9
4/9 times 2/1 = 8/9
Answer:
6
Step-by-step explanation:
i took the test
When it is 4:00 a.m. in Honolulu, it is 2:00 p.m. in London. Just before Paul’s flight from Honolulu to London, he called his friend Nigel, who lives in London, asking what kind of clothing to bring. Nigel explained that London was in the middle of some truly peculiar weather. The temperature was currently 30°C, and was dropping steadily at a rate of 1°C per hour. Paul’s flight left Honolulu at 12:00 p.m. Thursday, Honolulu time, and got into London at 1:00 p.m. Friday, London time. What kind of clothing would have been appropriate for Paul to be wearing when he got off the plane?
Answer:
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Step-by-step explanation:
If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:
[tex]d=14-4\\d=10\ hours[/tex]
London is 10 hours ahead of Honolulu.
If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:
[tex]t=12+10\\t=22 = 10:00\ p.m.[/tex]
Since he arrived in London at 1:00 p.m. at Friday, the flight time was:
[tex]F= (24-22)+13\\F=15\ hours[/tex]
The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:
[tex]T=30-(15*1)\\T=15^oC[/tex]
Converting it to Fahrenheit
[tex]T=(15*\frac{9}{5})+32 \\T=59\ F[/tex]
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Answer:
d
Step-by-step explanation:
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p). Elapsed Time (seconds) Distance Traveled (feet) 1 4.2 2 8.4 3 12.6 4 16.8 Which of the following equations represents the relationship between the distance traveled and the elapsed time? p = 4.2f f = 4.2p p = 4.2 + f f = 4.2 + p
Answer:
The answer is D 4 seconds
What is y when x= -3?
Answer:
y = 4
Step-by-step explanation:
We simply have to find the y-value when x = -3. When x = -3 on the graph, our y value would be 4.
Answer:
4
Step-by-step explanation:
What is the simplified expression fro -3cd-d(2c-4)-4d
Answer:
-5cd
Step-by-step explanation:
-3cd-2cd+4d-4d
-3cd-2cd=-5cd
4d-4d=0
=-5cd
Answer:
-5 cdSolution,
[tex] - 3cd - d(2c - 4) - 4d \\ = - 3cd - 2cd + 4d - 4d \\ = - 5cd[/tex]
Hope this helps...
Good luck on your assignment..
in the interval 0 x 360 find the values of x for which cos x =0.7252
Answer:
[tex]x_1 = 43.5145\°[/tex]
[tex]x_2 = 316.4855\°[/tex]
Step-by-step explanation:
We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).
Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.
The value of x can be calculated using:
[tex]x = arccos(0.7252)[/tex]
Using this function in a calculator (you may find it as: [tex]cos^{-1}(x)[/tex]), we have that:
[tex]x_1 = 43.5145\°[/tex]
So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:
[tex]x_2 = 360\° - 43.5145\° = 316.4855\°[/tex]
So the values of x are:
[tex]x_1 = 43.5145\°[/tex]
[tex]x_2 = 316.4855\°[/tex]
When a number is added to n plus StartFraction 1 Over 5 EndFraction n equals 24. Of itself, the result is 24. The equation that models this problem is n + n plus StartFraction 1 Over 5 EndFraction n equals 24.N = 24. What is the value n? n = 18 n = 20 n = 21n equals 23 and StartFraction Over 5 EndFraction 5 n = 23n equals 23 and StartFraction Over 5 EndFraction 5
Answer: n = 20
Step-by-step explanation:
Given that the problem goes thus:
When a number, n is added to 1/5 n of itself, the outcome obtained is 24.
Mathematically,
n + 1/5 of n = 24
n + (1/5n) = 24
1n + 1/5n = 24
(5n + 1n) / 5 = 24
6n / 5 = 24
6n = 24 × 5
6n = 120
n = 120 / 6
n = 20
Answer:
B on edg, n=20
Step-by-step explanation:
A father is 38 years old, his sons are 13 and 5 years old, and his daughter is 8 years old. In how many years will the father be the same age as his children put together?
Answer: 6
Step-by-step explanation:
38+x= 13+5+8+x
38+x=26+x
38-26=2x
12=2x
x=6
A computer game usually sells for $40. Niko bought it when it went on sale for 25% off. The sales tax was 6%. How much did Niko pay for the game?
Answer:
$12.40
Step-by-step explanation:
Answer:
$31.80
Step-by-step explanation:
First, find the sale price.
Normally you pay for 100% of the price. Since it is 25% off, you only pay for 75% of the price. (100%-25%=75%)
Therefore, we can multiply 75% and $40
75% * $40
Convert 75% to a decimal by dividing 75 by 100 or moving the decimal place 2 spots to the left.
75/100=0.75
75.0 --> 7.5 --> 0.75
0.75* $40
Multiply
$30
Now, find the price with tax.
You have to pay for 100% of the price, plus an additional 6% for the tax. Therefore, you are actually paying for 106% of the price (100% + 6% = 106%)
Therefore, we can multiply 106% and $30
106% * $30
Convert 106% to a decimal by dividing 106 by 100 or moving the decimal place 2 spots to the left.
106/100=1.06
106.0 --> 10.6 --> 1.06
1.06 * $30
Multiply
$31.8
Niko paid $31.80 for the game.
A triangle is drawn on a coordinate plane. Point A is at (2,6), Point B is at (4,10), and Point C is at (8,5). What is the midpoint of side AB
Hope is a single taxpayer who earns $45,000 per year in taxable income working as a salesperson. She has $200 in long-term capital gains on an investment that cost her $4,250 to purchase. Compute the tax on her investment to determine the after-tax return on investment (ROI).
A. 3%
B. 4%
C. 5%
D. 7%
E. 8%
Answer:
B. 4%
Step-by-step explanation:
Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.
Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings
her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%
Answer: 4%
Step-by-step explanation:
Question 1: Explain how the letter x (or any letter) is used when writing expressions, and give an example. How are expressions different than equations?
Question 2: Identify the parts (include: terms, coefficients, variables and constants) of the following expression and translate it into a verbal expression:
2(3x – 2y) + 7
Question 3: Identify the like terms, explain how you know they are like terms, and simplify the expressions:
10y + 3x + 10 +x -2y
3x – y + 4x + 6 – 2y
Question 4: Explain how to evaluate the expression 8x2 + 25y, when x = 3 and y = 2
Question 5: Explain how to write an equivalent expression for the expression
3(4x + 2y) + 5x.
Be sure to explain which properties you used. What method can you use to prove the 2 expressions are equivalent?
Answer:
Question 1:
The letter x or any letter used when writing an expression is representative of unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea
Question 2:
The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7
Question 3:
In the first expression, the like terms are;
10y and (-2y),
3x and x
In the second expression, the like terms are;
-y and -2y
3x and 4x
The first expression simplifies to 8y + 4x + 10
The second expression simplifies to 7x - 3y + 6
Question 4:
The expression is evaluated as 122
Question 5:
The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y
To prove when x = 1 and y = 2 we have;
3(4×1 + 2×2) + 5×1 is 29
17×1 + 6×2 is 29 which are equivalent in value
Step-by-step explanation:
Question 1:
The letter x or any letter used when writing an expression is representative of unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea
Example;
If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours = 24·x
An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints
An equation is a statement that two expressions are equal
Question 2:
The given expression is 2(3x - 2y) + 7
The parts are;
The coefficient of (3x - 2y) = 2
The constant term = 7
The variables are x and y
Which gives
The coefficient of the variable x = 6
The coefficient of the variable y = -4
The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7
or
The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7
or
The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;
Six times (variable) x minus four times (variable) y plus the constant 7
Question 3:
The expressions are;
10y + 3x + 10 + x - 2y..........................(1)
3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)
In the first expression, the like terms are;
10y and (-2y),
3x and x
In the second expression, the like terms are;
-y and -2y
3x and 4x
They are like terms because they can be simply added together to simplify the expressions as follows
10y + 3x + 10 + x - 2y gives 10y - 2y + 3x + x 10 to give 8y + 4x + 10
Also
3x - y + 4x + 6 - 2y gives 3x+ 4x - y - 2y + 6 to give 7x - 3y + 6
Question 4:
The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)
The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122
Question 5:
To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;
3×4x + 3×2y + 4x which is 12x + 6y + 4x
We combine like terms;
12x + 5x + 6y which is 17x + 6y
To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2
3(4×1 + 2×2) + 5×1 is 29
17×1 + 6×2 is 29
Help!!!!! please!!!!!
Answer: D) 192.5
Step-by-step explanation:
First, calculate the area of one face, in this case the right triangle. The area of a triangle is 1/2bh(17.5 here) Then multiply this area by the length(11 here). 17.5 * 11 = 192.5
Answer:
D. 192.5cm^3
Step-by-step explanation:
Well the formula to find the volume of a triangular prism is pretty long so if you would like to know it you can search it up.
Well we still have to find one side of the small triangle so we use the Pythagorean Theorum formula which is [tex]a^2+b^2=c^2[/tex].
So we have a and b which are 7 and 5 and using the in the formula we get 74
Now we have 74 = c^2.
So we find the square root of 74 which is about 9 rounded to the nearest whole number.
Now that we have c we plug it in the formula and get 191.54.
aso the answer is D. 192.5cm^3.
The tent in the picture below is half a cylinder with diameter 8 feet.
The Lateral Surface Area of the tent rounded to the nearest square
foot is S= square ft. Enter only a number as your answer.
Answer:
201 square feet
Step-by-step explanation:
First, find the area of the whole cylinder using A=bh, where h = 8 and b = 4π² = 16π. Then, divide it by two since it is a half cylinder
Answer:
101
Step-by-step explanation:
L= 2[tex]\pi rh[/tex]
=2[tex]\pi (4)(8) = 201\\\\[/tex]
Divde by 2 since it is half of a cylinder
201/2=101
The half life of uranium-232 is 68.9 years.
a) If you have a 100 gram sample, how much would be left after 250 years?
b) If you have a 100 gram sample, how long would it take for there to be 12.5 grams remaining?
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected?
Answer:
5.
Step-by-step explanation:
If the first 4 picked are of different colours then the fifth sock must be a match. for one of the four.
Acellus
If P = (3,2), find the image
of P under the following rotation.
180° counterclockwise about the origin
([?], []).
Enter the number that belongs in
the green box
Enter
Answer:
(-3, -2) is the image of P(3, 2).
Step-by-step explanation:
Given: a point P with coordinates (3, 2).
To find: Image of point P after 180° counterclockwise about the origin.
Solution:
Let us have a look at the coordinates and try to learn how a coordinate is written.
(3, 2) means x coordinate or value on x axis = 3 and
y coordinate or value on y axis = 2
Please have a look at the attached image to understand how the point P is plotted on xy axis.
Point P(3, 2) lies in 1st quadrant.
When a counterclockwise rotation is given the point will move from 1st quadrant to 2nd quadrant to 3rd quadrant to 4th quadrant.
A 90° rotation will cause the point to move to 2nd quadrant from 1st quadrant.
Another 90° rotation will cause the point to move to 3rd quadrant from 2nd quadrant.
So, the image of point P will lie in the 3rd quadrant where both x and y coordinates are negative.
Hence, the image will be P'(-3, -2).
Answer:
( -3 , -2 )
Step-by-step explanation:
which function has the greatest rate of exponential growth?
A) h(t) = (1 + 0.18)^t/6
B) k(t) = (3/8)^t
C) f(t) = 1.36^t
D) g(t) = 0.86^t
Answer:
C
Step-by-step explanation:
Here, we want to find which of the expressions have the greatest rate of exponential growth.
The easiest way to go about this is have a substitution for the term t;
Let’s say t = 6
Thus;
h(t) = 1.18^1 = 1.18
K(t) = 0.375^6 = 0.002780914307
f(t) = 1.36^6 = 6.327518887936
g(t) = 0.86^6 = 0.404567235136
Another way to find this is to express each as a sum of 1
f(t) = (1+ 0.36)^t
g(t) = (1-0.14)^t
k(t) = (1-0.625)^t
We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value
Simplify 2a(b + a) - 2b(b - a)
Answer:
[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]Step-by-step explanation:
[tex]2a(b + a) - 2b(b - a)[/tex]
Expand by distributing terms:
[tex]2ab + 2 {a}^{2} - (2 {b}^{2} - 2ba)[/tex]
Remove parentheses:
[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]
Collect like terms:
[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]
Simplify:
[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
degree 4, x=-1, x=1/5 are both zeros with multiplicity 2. What is the expression for the plynomial p(x) with these numbers?
Answer:
p(x) = (x + 1)²(5x - 1)²
Step-by-step explanation:
Since we are given the 2 zeroes, we put them into binomial form:
(x + 1)(5x - 1)
We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:
(x + 1)²(5x - 1)²
When we multiply it out, we should get a polynomial with a degree of 4.
Find the slope of the line.
Answer:
3/4
Step-by-step explanation:
Rise over run is the formula for slope. Just count your way up until you meet a point on the same line. Then just count towards that point.
Hope this helps! <3
ASAP Josh and Leon have £73 in total. They each spend £5. Josh now has 25% more than Leon. How much more money did Josh have than Leon at the start?
Answer:
£7
Step-by-step explanation:
Let's call Josh's money 'J' and Leon's money 'L'.
Then, we can write the following system of equations:
[tex]J + L = 73[/tex]
[tex](J - 5) = 1.25(L - 5)[/tex]
From the first equation, we have:
[tex]J = 73 - L[/tex]
Using this value of 'J' in the second equation, we have:
[tex](73 - L - 5) = 1.25(L - 5)[/tex]
[tex]68 - L = 1.25L - 6.25[/tex]
[tex]2.25L = 74.25[/tex]
[tex]L = 33[/tex]
[tex]J = 73 - L = 73 - 33 = 40[/tex]
At the start Josh has £40 and Leon has £33, so the difference is:
[tex]J - L = 40 - 33 = 7[/tex]
Robbie scores 78 in his test, Adam scores 54. By how much percentage% is Robbie's score better than Adam's? Please give a step-by-step explanation, thanks
Answer:
44%
Step-by-step explanation:
1% of 54 is 0.54
78/0.54=144.444444
-100% b/c that's the base
44% better
Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. Which of the following represents a conditional
probability?
Answer:b the probabilty that it contains nuts and is white
Step-by-step explanation:im sorry if this is wrong but its the only one that makes sense to me
Conditional probability is represented by probability that the candy is blue
What is Conditional probability?The concept of the conditional probability formula is one of the quintessential concepts in probability theory. The conditional probability formula gives the measure of the probability of an event, say B given that another event, say A has occurred.
The Bayes' theorem is used to determine the conditional probability of event A, given that event B has occurred, by knowing the conditional probability of event B, given that event A has occurred, also the individual probabilities of events A and B.
: In case P(B)=0, the conditional probability of P(A | B) is undefined. (the event B did not occur)
Given:
Some red, white, and blue candies were placed in a bowl.
Some contain nuts, and some do not
Here we are only focusing on the red candy which shows we have reduce the sample space.
Learn more about conditional probability here:
https://brainly.com/question/13044823
#SPJ5
The surface area of a cube is 78 cm^2. What is the volume of the cube, rounded to
the nearest tenth of a cm^3?
Answer:
46.87
Step-by-step explanation:
V=*(A^3/2
)/36
V=*(46.87^3/2
)/36
How many one-half cubes with dimensions of 1/2x1x1 fit in a unit cube? 1
2
4
6
Answer:
Option 2
Step-by-step explanation:
A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm
While a unit cube has a volume of 1 cubic cm
So,
2 cubes of these dimensions can fit into a unit cube.
Answer:
2
Step-by-step explanation:
volume of the unit cube:
V = 1 * 1 * 1 = 1
volume of the half-cube:
V = 1/2 * 1 * 1 = 1/2
number of half cubs that fit in unit cube:
1/(1/2) = 2
Answer: 2
What is the measure of angle D?
Answer:
52
Step-by-step explanation:
Since the sum of interior angles in a quadrilateral is 360°, you have to subrtact all those numbers from 360° in order to get angle D. What I mean is:
360 - (128+126+54)
360 - 308
52
Answer:
52°
Step-by-step explanation:
The trapezoid is a closed figure, meaning all the angles must equal 360°.
1. Set up the equation
128° + 126° + 54° + ∠D = 360°
2. Solve for ∠D
360 - 128- 126- 54 = 52
∠D = 52°
You can also solve this by knowing that in a trapezoid:
∠A + ∠D = 180° and ∠B + ∠C = 180°
1. Set up the equation
128 + ∠D = 180°
2. Solve
180 - 128 = 52
∠D = 52°
Why is the sell price always higher than the buy price?
Answer:
Sell price is not always higher than the buy price.
When there is profit, sell price is higher than the buy price.
When there is loss, sell price is lower than the buy price.
Step-by-step explanation:
Answer:
Currency numeric Value is always worth different in another country
Step-by-step explanation:
When talking about Currency you have to understand that the United Nations has not set up a universal currency yet, so countries are still using the currency that they started using hundreds of years ago.
In the example of exchanging Yen to USD. In numeric value 1 Yen is worth about $0.0093 USD.
Whereas USD to Yen the exchange rate is 1 USD is about 106.99 Yen. Because of the United States value to the 1 dollar bill.
Consider the graph shown.
What is the slope-intercept form of the equation of the line?
Plz help
Answer:
y = [tex]\frac{2}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)
m = [tex]\frac{4-2}{3-0}[/tex] = [tex]\frac{2}{3}[/tex]
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = [tex]\frac{2}{3}[/tex] x + 2 ← equation of line
Can someone help me with this question please
Please! Someone help me! You will get a BRAINLIEST if you get this correct!
Answer:
Yes because 9x2+6x=0 when x=-2/3Answer:
option 4
Step-by-step explanation:
Simplify the equation,
9x² + 6x = 3x ( 3x + 2)
9x² + 3x = 3x*(3x + 1)
9x² + 9x + 2 =9x² + 3x + 6x + 2*1
= 3x(3x + 1) + 2(3x + 1)
= (3x+ 1)(3x +2 )
[tex]\frac{10}{9x^{2}+6x}-\frac{1}{9x\frac{}{}+3x}=\frac{10}{3x(3x+2)}-\frac{1}{3x(3x+1)}\\\\=\frac{10(3x+1)}{3x(3x+1)(3x+2)}-\frac{1(3x+2)}{3x(3x+1)(3x+2))}\\\\=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\\\frac{5}{9x^{2}+9x+2}= \frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\frac{5}{(3x+1)(3x+2)}=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\[/tex]
Both sides (3x+1)(3x+2) will get cancelled
[tex]5=\frac{10(3x+1)-(3x+2)}{3x}\\[/tex]
Cross multiply,
5(3x) =10(3x+1)-(3x+2)
When x = -2/3, LHS = 5(3x) = [tex]5*3*\frac{-2}{3}[/tex]
= -10
When x= -2/3, RHS = 10(3x+1)-(3x+2)
= [tex]10(3*\frac{-2}{3}+1)-(3*\frac{-2}{3}+2)\\[/tex]
= 10(-2+1) - (-2+2)
= 10 * (-1) -0
= -10
LHS = RHS
So, -2/3 is a solution