Answer:
[tex]\frac{23}{32}\ hours[/tex]
Step-by-step explanation:
step 1
Find out the number of hours worked by April on her math project
Multiply 1 1/8 by 5 3/4
so
[tex]1\frac{1}{8} (5\frac{3}{4})[/tex]
Convert mixed number to an improper fraction
[tex]1\frac{1}{8}=1+\frac{1}{8}=\frac{1*8+1}{8}=\frac{9}{8}[/tex]
[tex]5\frac{3}{4}=5+\frac{3}{4}=\frac{5*4+3}{4}=\frac{23}{4}[/tex]
substitute
[tex]\frac{9}{8} (\frac{23}{4})=\frac{207}{32}\ hours[/tex]
Convert to mixed number
[tex]\frac{207}{32}=\frac{192}{32} +\frac{15}{32} =6\frac{15}{32}\ hours[/tex]
step 2
How many more hours did April work?
Subtract the hours worked by Carl from the hours worked by April
[tex]\frac{207}{32}-\frac{23}{4}=\frac{207-8*23}{32}=\frac{23}{32}\ h[/tex]
Albert $1000 earned 1.2% annual interest compounded monthly
$500 lost 2% over the course of the 10 years
$500 grew compounded continuously at rate of 0.8% annually
What is the balance of Albert’s $2000 after 10 years?
Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
__
For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
__
The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
__
The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
This really doesn’t make sense to me... Please explain and tell me the answer
Answer:
d)
Step-by-step explanation:
the answer would be d) because complementary angles equal 90 and, it said that angles d) and a) are complementary. well it would be false since d=125 and obviously angle a) would also be 125 since they are vertical angles
| 2.) Are the two expressions below equal?
4a + 4a + 3a and 7a + 3a
Please help
Answer:
21a
Step-by-step explanation:
yes they are equal.. all you need is just to add all the number to get your answer!
Answer:
21a
Step-by-step explanation:
because ,
4a+4a+3a =11a
and 7a+3a=10a
and they are equal so what you need is that
just to add them and for maths (and) means addition ..... so therefore the answer is 21a
airline fairs for a flight from dallas to austin at $30 for first class and $ 25 for tourist class. the flight had 52 passengers who paid $1360, how many tourist class and first class passengers are there?
There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.
Let's define the number of first class passengers as x and the number of tourist class passengers as y.
We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360
We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12
So, there are 12 first class passengers.
Using y = 52 - x, we find:
y = 52 - 12 = 40
Thus, there are 40 tourist class passengers.
What is the difference between the lowest
temperature and the highest?
Time Temperature
Midnight. -6°C
4 am - 8°C
8 am -4°C
noon 7°C
3 pm 6°C
7 pm -2°C
Answer:
14
Step-by-step explanation:
highest temperature = 6°c
lowest temperature = -8°c
difference = 6-(-8)
14
The difference between the lowest temperature of -8°C and the highest temperature of 7°C is 15°C.
Explanation:The difference between the lowest temperature and the highest temperature is found by subtracting the lowest temperature from the highest temperature listed in the data. According to the given temperatures, the lowest temperature is -8°C at 4 am and the highest temperature is 7°C at noon. To find the difference, we calculate 7°C - (-8°C), which equals 15°C. Thus, the temperature range is 15°C.
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I have my friends answer but I need to show working out?
Answer:
42
Step-by-step explanation:
You change 1/2 to 3/6
1/2=3/6
Then, you take 3-1=2 to find the difference
Next, as you found out that 2 units equals to 14, you take 14÷2=7
As there are 6 units, you take 7×6=42
Thus, the answer 42
Answer:
42
Step-by-step explanation:
Let total no. of trees be 'X'
Lemon are (1/6) of X = X/6
Orange are (1/2) of X = X/2
Difference is 14
X/2 - X/6 = 14
Lcm is 6
(3X-X)/6 = 14
2X = 14×6
X = 42
which of the following is equivalent to log9w
what do you meanAnswer:
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Did the 2020 edge quiz
PLEASE HELP ME!!!
Ms. Grady has 150 pictures in an album. Of these pictures, 48 show her friends, 24 show her family, and 78 show
only Ms. Grady. Ms. Grady is in of the pictures that show her friends and of the pictures that show her family.
Based on this information, which statement is true?
a. The probability of randomly selecting a picture that shows Ms. Grady is 76%.
The probability of randomly selecting a picture that shows Ms. Grady with her friends is greater than the
probability of randomly selecting a picture that shows Ms. Grady with her family.
The probability of randomly selecting a picture that does not show Ms. Grady is 52%.
d. The probability of randomly selecting a picture that shows Ms. Grady with her family is 3 times the
probability of randomly selecting a picture that shows only her friends.
Answer:
B
Step-by-step explanation:
the others wouldn't make seans
According to the graph, what is the value of the constant in the equation
below?
Height = Constant . Width
• (6, 15)
Height
10-
(3,9)
6+
(2,6)
2 to (0.5, 1.5)
-
4
6
14 16 18 20
8 10 12
Width
Answer:
The value of the constant is 3
Step-by-step explanation:
Let
y ----> the height
x ----> the width
we have
[tex]y=kx[/tex]
This is the equation of a linear direct variation
The equation of the line passes through the origin
we have the points
(0.5,1.5), (2,6) and (3,9)
see the attached figure to better understand the problem
Find the value of the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
For (0.5,1.5) ----> [tex]k=\frac{1.5}{0.5}=3[/tex]
For (2,6) ----> [tex]k=\frac{6}{2}=3[/tex]
For (3,9) ----> [tex]k=\frac{9}{3}=3[/tex]
therefore
The value of k is equal to 3
The linear equation is
[tex]y=3x[/tex]
or
[tex]Height=3Width[/tex]
Answer:
I had done this on A P E X and it said it was 80
a line passed through the point (8,9) and has a slope of -3/4. write an equation in slope intercept form.
Answer:
y = -3/4x + 3
Step-by-step explanation:
y - 9 = -3/4 (x-8)
y-9 = -3/4x -6
y = -3/4x - 6 + 9
y = -3/4x + 3
The equation of the line that passed through the point (8,9) and has a slope of -3/4 in slope-intercept form is [tex]y= -\frac{3}{4}x + 13[/tex]
The point-slope form of the equation of a line passing through the points (x₁, y₁) and with a slope m is given as:
y - y₁ = m(x - x₁)
For the line that passed through the point (8, 9) and has a slope of -3/4
x₁ = 8, y₁ = 9, and m = -3/4
Substitute these values into the equation y - y₁ = m(x - x₁)
[tex]y-9=\frac{-3}{4}(x - x_1)[/tex]
Express the equation above in the form y = mx + c
[tex]y-9=-\frac{3}{4}(x - 8)\\\\y-9= -\frac{3}{4}x + 6\\\\y= -\frac{3}{4}x + 6+9\\\\y= -\frac{3}{4}x + 13[/tex]
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Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.
G1 = the first card drawn is green
G2 = the second card drawn is green
a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =
d. Are G1 and G2 independent?
a. P(G1 and G2) = 0.154 b. P(At least 1 green) = 0.592 c. P(G2|G1) = 19/49
d. G1 and G2 are not independent
Let's assume we are drawing cards from a deck without replacement.
There are two possibilities for the first card drawn (G1):
The first card drawn is green (G1).
The first card drawn is not green (Non-G1, which means it's either red or blue).
a. P(G1 and G2) = P(G1) * P(G2|G1)
Since we are drawing without replacement, after drawing a green card for G1, there is one less green card in the deck. Therefore:
P(G1) = Number of green cards / Total number of cards = 20/50 = 2/5
P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49
So, P(G1 and G2) = (2/5) * (19/49) ≈ 0.154
b. P(At least 1 green) = 1 - P(no green cards) = 1 - P(non-G1 and non-G2)
P(non-G1) = Number of non-green cards / Total number of cards = 30/50 = 3/5
P(non-G2|non-G1) = Number of non-green cards remaining / Total number of cards remaining = 29/49
P(no green cards) = P(non-G1) * P(non-G2|non-G1) = (3/5) * (29/49)
So, P(At least 1 green) = 1 - P(no green cards) = 1 - (3/5) * (29/49) ≈ 0.592
c. P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49
d. No, G1 and G2 are not independent because the outcome of drawing the first green card (G1) affects the probability of drawing a green card in the second draw (G2). The conditional probability P(G2|G1) is not equal to the unconditional probability P(G2).
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The value of the probabilities are: a) P(G1 and G2) =0.3182, b) P(At least 1 green) = 0.8485,c) P(G2|G1) = 0.5455 and d) G1 and G2 dependent.
Given:
Total number of cards = 7 (green) + 5 (yellow)
= 12 cards
a. Since the cards are drawn without replacement, the probability can be calculated as:
P(G1 and G2) = P(G1) * P(G2|G1)
P(G1) = Number of green cards / Total number of cards
= 7 / 12
or, P(G2|G1) = Number of remaining green cards / Total remaining cards
=6/11
So, P(G1 and G2) = (7 / 12) * (6 / 11)
= 0.3182
b. P(At least 1 green) = 1 - P(Both yellow)
P(Both yellow) = P(Yellow1) * P(Yellow2|Yellow1)
P(Yellow1) = Number of yellow cards / Total number of cards
= 5 / 12
P(Yellow2|Yellow1) = remaining yellow cards / Total remaining cards
= 4 / 11
So, P(Both yellow) = (5 / 12) * (4 / 11)
= 0.1515
Therefore,
P(At least 1 green) = 1 - 0.1515
= 0.8485
c. Since one green card has already been drawn, there are now 6 green cards and 11 cards in total remaining:
P(G2|G1) = Number of green cards / Total remaining cards
= 6 / 11
= 0.5455
d. In this case, G2|G1 is not equal to the overall probability of G2.
This indicates that the events are dependent, as the probability of drawing a green card for the second draw changes based on the outcome of the first draw.
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what type of function is f(x)3^(-2x)
Answer:
exponential function
Step-by-step explanation:
If bob washed the car in 6 minutes and jack washed it in 8 minutes how long did it take them together
Answer:
14 minutes
Step-by-step explanation:
8 + 6 = 14
First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial: 1. 7 x 4 + 5 x 2 + x − 9 2. 7 x 6 − 4 x 3 + 1 /x
Final answer:
The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.
Explanation:
First, let's state the degree and identify the term with the greatest degree.
The polynomial 7x^4 + 5x^2 + x - 9 has a degree of 4. The monomial with the greatest degree is 7x^4. The polynomial 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent (1/x). Polynomials can only have non-negative integer exponents.So, in summary:
1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.
2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.
2/3xd=10/9 what is d
Answer:d=5/3x
Step-by-step explanation:
Let's solve for d.
(2/3x)(d)=10/9
Step 1: Divide both sides by (2x)/3.
2/3dx / 2x/3=10/9 / 2x/3
d=5/3x
To find the value of d in the equation 2/3 * d = 10/9, multiply both sides by the reciprocal of 2/3. The value of d is 5/3 or approximately 1.67.
Explanation:To solve the equation 2/3 * d = 10/9 for d, we can start by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us:
d = (10/9) * (3/2) = 30/18 = 5/3
Therefore, d = 5/3 or d ≈ 1.67.
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-5x = -2x - 3
What dose x equal
Answer:1
Step-by-step explanation:
-5x=-2x-3
-5x+2x=-3
-3x=-3
X=1
Answer:
X=3/7
Step-by-step explanation:
which could be the function graphed below
Answer: A on Edge 2020
Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me
Answer:
a
Step-by-step explanation:
add: (3x^2-5x+6)+(-4x^2-8x+9)
A. -x^2-13x+15
B. 7x^2-13x+15
C. -x^2-13x+3
D. 7x^2+3x-3
Answer:
A. -x^2-13x+15
Step-by-step explanation:
-4x^2 + 3x^2 = -x^2
-8x + -5x = -13x
6 + 9 = 15
-x^2-13x+15
3.) Slopes of parallel/perpendicular lines
FIND THE SLOPE OF THE GIVEN LINE
b.) What is the slope of the line parallel to the line in Part A above? How do you know? What is the relationship between lines that are parallel?
c.) What is the slope of the line perpendicular to the line in Part A above? How do you know? What is the relationship between lines that are perpendicular?
1. Slope of given line = -1/2
2. Slope of line parallel to given line = -1/2
3. Slope of line perpendicular to given line = 2
Step-by-step explanation:
1. Slope of Given line:
We can see that there are two points on the line(highlighted by dots)
Let the two points be (x1,y1) and (x2,y2)
Then
(x1,y1) = (2,2)
(x2,y2) = (-2,4)
The formula for slope is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{4-2}{-2-2}\\m = \frac{2}{-4}\\m = -\frac{1}{2}[/tex]
Hence, the slope of given line is -1/2
2. Slope of line parallel to given line
Let [tex]m_1[/tex] be the slope of the line parallel to given line.
The slopes of two parallel lines are equal as they change at same rate with respect to x-axis.
So,
[tex]m = m_1\\-\frac{1}{2} = m_1[/tex]
Hence,
The slope of line parallel to given line will also be -1/2
3. Slope of line perpendicular to given line:
Let m_2 be the slope of line perpendicular to given line
The slope of line perpendicular to a given line is the negative reciprocal of the slope of first line or simple it can be put like " The product of slopes of two perpendicular lines is -1"
So,
[tex]m.m_2 = -1\\-\frac{1}{2}.m_2 = -1\\m_2 = -1 * -2\\m_2 =2[/tex]
Hence,
The slope of line perpendicular to given line is: 2
Keywords: slope, parallel lines
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Solve using substitution:
y = -3x + 5
5x - 4y = -3
Answer:
x = 1 y = 2
Step-by-step explanation:
5x - 4y = -3
5x - 4 (-3x + 5) = -3
5x + 12x - 20 = -3
17x - 20 + 20 = -3 + 20
17x = 17 ÷ 17
x = 1
y = -3x + 5
y = -3 (1) + 5
y = -3 + 5
y = 2
What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
O y=2x-2
y=. 2x+ 2
Oy=2x+2
Answer:
y = 2x + 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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts
m = [tex]\frac{2-0}{0+1}[/tex] = 2
Note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = 2x + 2 ← equation of line
How much food can this container hold? Express your answer in terms of pi
Answer:
the container can hold 84.82 inches of food.
Step-by-step explanation:
radius = 3 in
height = 9 in
Volume of a cone = 1/3πr²h
= 1/3π(3)²(9)
= 27π in³
= 84.82 in
I hope this help!
brainliest is appreciated... :}
Answer:
It’s 27 if your talking about I-ready
Step-by-step explanation:
A person standing d = 144 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is a = 13°, while the angle of elevation to the top of the mirror is b = 12°. Find the vertical dimension of the mirror. (Round your answer to the nearest whole number.)
Answer:
13.42
Step-by-step explanation:
Heather won 33 super bouncy balls playing basketball at the county fair. At school she gave two to every student in her math class. She only has 5 remaining. How many students are in her class?
Ok, first subtract five so we have a more straight number to work with, 28, then divide 28 by 2 to get 14, so there are 14 students in her class.
Hope this helps, if not, comment below please!!!
Answer:
The answer is 14.
Step-by-step explanation
33-5=28
28/2=14
The coffee cups can hold 7/9 of a pint of liquid. If Emily puts 2/3 of s pint of coffee into a cup, how much milk can a customer add?
1/9 pints of milk can be added by a customer
Step-by-step explanation:
We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee
Given
Total Capacity of a cup = 7/9 pints
Coffee to be added in a cup = 2/3 pints
So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.
So,
[tex]Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}[/tex]
Hence,
1/9 pints of milk can be added by a customer
Keywords: Fractions, addition
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Amount of milk add by customer is 1/9 pint of liquid
Given that;
Holding capacity of cup = 7/9 pint of liquid
Liquid fill by Emily = 2/3 pint of liquid
Find:
Amount of milk add by customer
Computation:
Amount of milk add by customer = Holding capacity of cup - Liquid fill by Emily
[tex]Amount\ of\ milk\ add\ by\ customer = \frac{7}{9} - \frac{2}{3}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{7-6}{9}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{1}{9}\\\\[/tex]
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Torique calculates that a weekend is 48 hours long and that he sleeps for 16 hours each weekend, 1/3 of the weekend. What fraction of each weekend does Tyrique spend awake? What percent represents that fraction?
Final answer:
Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.
Explanation:
Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.
Total hours in a weekend: 48 hours
Sleeping hours: 16 hours
Awake hours: 48 hours - 16 hours = 32 hours
Now, we convert 32 hours to a fraction of the weekend.
Awake fraction: 32 hours / 48 hours = 2/3 of the weekend
Next, we convert this fraction to a percentage.
Awake percentage: (2/3) × 100 = 66.67%
Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.
PLEASE HELPPPP WITH THIS
Answer:The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
slope = y2-y1/x2-x1
1 -3 . 3 1
(1 - (-3))/(3-1)
4/2
2
Slope = 2
y = mx + b
y = 2x -5
4m is greater or less then 400 dm
Answer:
greater
Step-by-step explanation:
What is 70% of 38, please show work
Answer: 26.6
Step-by-step explanation: To solve this problem, let's ignore the first 2 words which are "what is."
So, we can really change the problem to say 70% of 38.
To find 70% of 38, first write 70% as a decimal by moving the decimal point 2 places to the left to get .70.
Next, the word "of" means multiply, so we have (.70)(38) which is 26.6.
So 70% of 38 is 26.6.
What is the simplest form for 28 out of 32
Answer:
7/8 decimal form: 0.875
Step-by-step explanation:
28 4
---- ÷ ---- = 7/8
32 4