Choose the mixed number that has not been reduced to simplest form. 4 2/5, 5 5/6, 5 7/12, 7 14/18
7 14/18
Step-by-step explanation:
Supposed two angles are supplementary and one of them measures 31 degree what is The measure of the other angle
We will see that if the angles are supplementary, the measure of the other angle is 149°.
How to get the measure of the other angle?Two angles A and B are supplementary if their measures add up to 180°, so we must have:
A + B = 180°
In this case, we know that one of the angles measures 31°, let's say:
A = 31°
Replacing that we get:
31° + B = 180°
Solving for B, we get:
B = 180° - 31° = 149°
We conclude that the measure of the other angle is 149°.
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Lisa paid $43.95 for 16.1 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?
EVERY ANSWER THAT EXPLAINS, I WILL GIVE 5 STARS AND THANKS
Answer:
$2.37
Step-by-step explanation:
43.95 ÷ 16.1 = 2.37
=$2.37
Rodney bought a shirt for $34.50 and a pair of pants for 29.95 the sales tax rate is 7.5% what amount did he pay for sales tax on his purchase
Rodney paid approximately $4.84 in sales tax for his purchase of a shirt and a pair of pants. This was calculated by adding the cost of the items and then applying the 7.5% sales tax rate.
Explanation:To calculate the amount of sales tax Rodney paid on his purchase, we first need to find the total cost of the items he bought. Rodney bought a shirt for $34.50 and a pair of pants for $29.95. We add these two amounts together to get the total.
$34.50 + $29.95 = $64.45
Next, we convert the sales tax rate to decimal form, which is 7.5% or 0.075, and multiply it by the total cost of the items.
0.075 × $64.45 = $4.83375
Finally, round this number to the nearest cent to find the sales tax Rodney needs to pay. Therefore, Rodney pays approximately $4.84 in sales tax.
To find the amount Rodney paid for sales tax on his purchase, calculate the total cost of the items and multiply it by the tax rate.
Explanation:To find the amount Rodney paid for sales tax on his purchase, we first need to calculate the total cost of the items he bought. The cost of the shirt is $34.50 and the cost of the pants is $29.95. So, the total cost is $34.50 + $29.95 = $64.45.
Next, we need to find the amount of sales tax. The sales tax rate is 7.5%. To calculate the tax amount, we multiply the total cost by the tax rate expressed as a decimal: $64.45 x 0.075 = $4.84.
Therefore, Rodney paid $4.84 for sales tax on his purchase.
Which value is equivalent to 8 multiplied by 4 multiplied by 2 whole over 8 multiplied by 7, the whole raised to the power of 2 multiplied by 8 to the power of 0 over 7 to the power of negative 3, whole to the power of 3 multiplied by 7 to the power of negative 9?
a 64 over 49
b 8 over 49
c 16 over 7
d 512 over 7
Derrick surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:
Hamburgers
Spaghetti
Pizza
Sample #1
43
13
44
Sample #2
41
20
39
Which of the following inferences can be made based on the data?
Pizza is the most preferred lunch.
Spaghetti is two times more popular than pizza.
Hamburgers and pizza are preferred almost equally.
Spaghetti is two times more popular than hamburgers.
hamburgers = 43 + 41 = 84
spaghetti = 13 + 20 = 33
pizza = 44 +39 = 83
since 83 & 84 are close the answer is:
Hamburgers and pizza are preferred almost equally.
Answer:
Hamburgers and pizza are preferred almost equally.
Step-by-step explanation:
What's the answer to question 10 and 11
Evaluate (2-5i)(p+q)i when p=2 and q=5i
a. 29i
b. 29i-20
c. -21i
d. 29
Answer:
Answer:
The value of the (2 – 5i)(p + q)i is 29i .
Option (a) is correct .
Step-by-step explanation:
As the expression given in the question.
= (2 - 5i) (p + q)i
Simplify the above
= (2 - 5i) (pi + qi)
= 2pi + 2qi - 5pi²- 5qi²
As i² = -1
Put in the above
= 2pi + 2qi + 5p +5q
= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i
= 4i + 10i² + 10 + 25i
As i² = -1
= 4i - 10 + 10 + 25i
= 29i
Thus the value of the (2 – 5i)(p + q)i is 29i .
Option (a) is correct .
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
on edge:)
What is 400,000 13,000 1104 ones in standard form
find the angle whose cosine is .4203
The angle is approximately 65.09 degrees or 1.106 radians.
To find the angle whose cosine is 0.4203, we can use the inverse cosine function, denoted as [tex]cos^{-1}[/tex]or arccos.
Ensure your calculator is in degree mode.Input 0.4203 into your calculator.Use the arccos function to find the angle.The result will be:
[tex]cos^{-1}[/tex](0.4203) ≈ 65.09°
This means the angle whose cosine is 0.4203 is approximately 65.09 degrees or 1.106 radians.
Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.
How many acres does she harvest per hour?
use proportions:
8 3/4 / 5/6 = x /1
8 3/4 = 35/4
x = 35/4 * 6/5
x = 210/20 = 10 1/2 acres in one hour
If a person starts investing $100 per month starting at age 21, and that money earns a 7% return every year, how much will this person have when turning 70 years old?
do Dollar markdowns represent price increases to the original selling price.
No, dollar markdowns do not represent price increases to the original selling price.
In retail, a markdown refers to a reduction in the price of an item from its original selling price. When a dollar markdown occurs, it means that the price of the item has been decreased by a specific dollar amount. This reduction is typically implemented to stimulate sales, clear out excess inventory, or attract customers.
For example, if an item originally priced at $50 is marked down by $10, the new selling price would be $40. Therefore, dollar markdowns signify a decrease in the selling price relative to the original price, rather than an increase. They are a common strategy used by retailers to adjust pricing to match market demand and drive sales.
Which table represents a function?
how many 2ps are worth two 5ps?
(4+m)+2ni=9+14i solve for n and m
simplify -44.288- 31.6 divided by -3.1(6-1.2)
Answer:
the answer is D. 5.1
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Identify two composite numbers that each have 8 as a factor
Theos mom bought an eight-pack of juiceboxes at the store for $4. Find the unit rate for the juice boxes.
Shade in the grid to represent the ratio. Then find the missing number.
which is equal to 300
Delia relative long jump length was recorded as 0. What does this mean
When we say about an object relative to something, this only means that we are comparing an object’s characteristic to that of our reference. So in this case, I think we are referencing Delia’s jump to someone else. Say our reference has a long jump length of 5 meters, since Delia’s relative long jump length is 0, this means that relative to the reference there is no difference. Therefore, Delia’s jump length is also 5 meters.
A wallet contains the same number of pennies, nickels, and dimes. The coins total $1.44. How many of each type of coin does the wallet contain?
System of equations contains more than one equation with unknown variables. The wallet contain 9 pennies, 45 nickels and 90 dimes
System of equationSystem of equations contains more than one equation with unknown variables
A wallet contains the same number of pennies, nickels, and dimes with a total of $1.44
The sum of the coins in terms of pennies is :
x + 5x + 10x = 144
16x = 144
x = 144/16
x = 9
Hence the wallet contain 9 pennies, 45 nickels and 90 dimes
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A farm has75 acres of wheat the farmer can harvest the wheat from 12 acres per day in how many days will all of the fields be harvest y=mx+b
Rewrite the expression in terms of ln 5 and ln 6. ln(4500)
The expression ln(4500) can be rewritten in terms of ln 5 and ln 6 by using the properties of logarithms and prime factorization. The final expression is ln(4500) = 3 * ln(5) + 5 * ln(6).
Explanation:To rewrite the expression ln(4500) in terms of ln 5 and ln 6, we first need to break down 4500 into its prime factors. Starting off, we know 4500 = 5 * 5 * 5 * 3 * 2 * 2 * 2 * 2 * 2. Applying the properties of logarithms, ln a * b = ln a + ln b, the expression then becomes:
ln(4500) = 3* ln(5) + ln(3) + 5* ln(2).
Now, we have ln3 and ln2 terms instead of the desired ln5 and ln6 terms. To convert ln(2) and ln(3) to ln(5) and ln(6), we note that 6 = 2 * 3. Thus, ln(6) = ln(2) + ln(3). Replacing ln2 and ln3 with ln6 in our expression gives:
ln(4500) = 3 * ln(5) + 5 * ln(6).
So, ln(4500) can be expressed in terms of ln5 and ln6 as 3 * ln(5) + 5 * ln(6).
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Jan has 3 1/3 feet of rope to use on a camping trip. Assume 1 foot = 30.48 centimeters. What is the best estimate of the centimeters of rope Jan has?
A. 9 cm
B. 12 cm
C. 90 cm
D. 160 cm
Answer:
the correct Answer is definitely 90cm correct me If I am wrong!!
Madison deposited $18 in a savings account that earns 2.5% simple interest. Which graph represent this scenario
Answer:
Please find the attachment for the required graph.
Step-by-step explanation:
We have been given that Madison deposited $18 in a savings account that earns 2.5% simple interest.
The graph of the given situation would be a linear function.
We know that simple interest formula is in form [tex]A=P+Prt[/tex], where,
A = Final amount,
P = Principal amount,
r = Interest rate in decimal form,
t = Time in years.
Let us convert given interest rate in decimal form.
[tex]r=\frac{2.5}{100}=0.025[/tex]
Substitute the given values in above formula:
[tex]A=18+18*0.025*t[/tex]
[tex]A=18+0.45t[/tex]
The equation representing the given scenario would be [tex]y=18+0.45x[/tex].
Mill has $500.00. He gives 50% of it to Jill. He gives 20% of it to Phil. He keeps the rest. How much does each person get?
In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the directed line segment from K to N in a ratio of 1:2. Point M partitions the directed line segment from L to N in a ratio of 3:1. What are the coordinates of point M? Round to the nearest tenth, if necessary. (–1.3, –0.3) (2.5, 1) (5.7, 2.2) (7, 2.5)
its c .i just took it
The coordinates of point M are approximately (5.7, 2.2).
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
To find the coordinates of point M, we need to first find the coordinates of point L.
Since point L partitions the directed line segment from K to N in a ratio of 1:2, we can use the midpoint formula to find its coordinates:
L = [(1/3)(8 - 6) + (-6), (1/3)(3 - (-2)) + (-2)]
L = (-4, 1)
Next, we need to find the coordinates of point M, which partitions the directed line segment from L to N in a ratio of 3:1. We can use the same formula:
M = [(3/4)(8) + (1/4)(-4), (3/4)(3) + (1/4)(1)]
M = (5.5, 2)
Rounding to the nearest tenth, we get M ≈ (5.7, 2.2).
Therefore, the coordinates of point M are approximately (5.7, 2.2).
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Complete the coordinate proof of the theorem.
Answer:
Step-by-step explanation:
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