Answer: 3x+14
Step-by-step explanation:
Evaluate 4.2x+3−1.2x+11
Subtract the terms 3x+3+11
Solution 3x+14
John had k dollars to begin with. He just spent 34 dollars. Using k, write an expression for the number of dollars he has left.
Answer: k-34
Step-by-step explanation:
k is the front of the expression because it’s what he started with in his situation
to spend money you use - for subtraction
bc its an expression i’m assuming that’s it lol
when 5,708,100,000 is written in scientific notation, the decimal number will be multiplied by which power of 10
Answer:
9th power of 10
Step-by-step explanation:
To find the power of 10 in scientific notation. keep moving the decimal point to the left until you have only one digit to the left of the decimal point. Count the number of places you have moved the decimal point to the left and that is the exponent of 10 in scientific notation
5,708,100,000 does not have a decimal point but you can imagine a d.p at the end of the number
To get only one digit to the left of the d.p, you have to move it 9 places to the left until you get 5.7081
Therefore in scientific notation it is 5.7081 x 10⁹
The power is 9
Find the total price, including tax of a $15.99 hat with 6% tax
Show Work!
The total price of the hat including the tax is $ 16.9494 .
How to calculate percentage and how is it determined?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
Mathematically, Percentage formula = (Value/Total value) × 100
Given, cost price of hat (total value) = $ 15.99
Percentage tax imposed on the hat = 6%
Now, using the formula established in the literature above, we have:
Percentage = (Value/Total Value)×100
⇒ Value = (Percentage × Total Value)/100 = (6×15.99)/100 = $ 0.9594
Therefore, the total price of hat = Cost Price + Value = $ (15.99 + 0.9594) = $ 16.9494
Thus, the total price of the hat including the tax is $ 16.9494 .
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Estimation A car takes 55.2 seconds to travel 1 mile. How long does it take the car to travel 3.6 miles? First round to the nearest whole number to find the estimated answer. Then find the exact answer.
After performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.
What are mathematical operations?An operation is any mathematical operation that converts zero or more discrete input values into discrete output values.The number of operands affects how complex the operation is.Numerical inputs are converted into numeric outputs in the four mathematical operations (i.e., another number).These include addition, subtraction, division, and multiplication.So, in seconds the car would take to travel 3.6 miles:
The car takes to travel 1 mile: 55.2 secondsThen, calculate as follows to get in how many seconds the car will travel 3.6 miles:
55.2 × 3.6 = 198.72Rounding off: 199 secondsTherefore, after performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.
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you are renting a tent for an upcoming camping trip. tents r us charges a non refundable fee of 30$ and 5$ per night that u rent the tent. the function rule for renting the tent for n nights is? if you plan to rent the tent for 8 nights you will have to pay?
The function rule for renting the tent for n nights is t(n) = 30 + 5n.
The amount of money I have to pay if I rent the tent for 8 nights is $ 70.
Given that:-
Non-refundable fee charged by tents r us to reserve the tent = $ 30
Additional fee charged per night by tents r us = $ 5
We have to find the function rule for renting the tent for n nights and the amount of money I have to pay if I rent the tent for 8 nights.
We know that,
Function rule for renting the tent for n nights = Non-refundable fee + charge per night
Hence, we can write,
t(n) = 30 + 5n
Using the formula, putting n = 8, we get
t(8) = 30 + 5*8 = 30 +40 = $ 70.
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The point (10, y) lies on the line
y=-3x + 4. Find y
[tex](\stackrel{x}{10}~~,~~\stackrel{y}{y})\hspace{5em}\stackrel{\textit{substituting in the equation}}{y~~ = ~~3(\stackrel{x}{10})+4}\implies y=34[/tex]
Answer:
Step-by-step explanation:I am pretty sure the answer is supposed to be 2 for x
In 3–5 sentences, explain why the moon appears to be less bright than the sun despite its very close distance to Earth. PLEASE HELP A GIRL OUT THIS IS A VERY IMPORTANT TEST I DO NOT WANT TO FAIL
Answer:
Based on scientific observations and findings, the reasons the moon appears to be less bright than the sun despite its very close distance to earth are the following:
Moon doesn't produce its light but rather takes or reflects the light from the Sun.Moon only reflects about 12 percent maximum of lights that shines on it from the sun.Externally, Moon is made of dark-colored soil often referred to as lunar soil. This is unlike the Sun which is made of hydrogen and helium, whose atoms are very light.Also, Sun is about 400 times bigger than the Moon.
Hence, in this case, it is concluded that there are many reasons the moon appears to be less bright than the sun despite its very close distance to earth.
Step-by-step explanation:
Jan wants to create the perpendicular bisector of line segment AB.
She places her compass on point A and opens it with the width equal to the length of the line segment AB. She makes arcs above and below the line segment.
What could be Jan's next step to create the perpendicular bisector of line segment AB?
A. place the compass on the approximate midpoint and draw intersecting arcs
B. connect each arc with point B using a straightedge
C. connect the two arcs using a straight edge
D. place the compass on point B and complete the same steps that she did for point A
Next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by
D. put the compass on point B and complete the same steps that she did for point A.
As given in the question,
To draw the perpendicular bisector of given line segment AB
Required steps:
First put the compass on point A and take the measure of the width equal to the length of the line segment AB and draw arcs above and below the given line segment.Now ,put your the compass on point B and repeat the same steps as you have used to draw arc from point A.Join both the arcs using a straight line.line segment draw on the arc to join them is known as perpendicular bisector.Therefore, next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by :
D. put the compass on point B and complete the same steps that she did for point A.
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What is the answer asp
Answer:
d
Step-by-step explanation:
using the tangent ratio in the right triangle
tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then
∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )
20 POINTS FOR THIS NEED ASAP
Answer: Square feet
Step-by-step explanation: Well, in the 3 options given, ounces aren't used for distance which is what it is calculating, and for bigger terms, you wouldn't use inches, so the only logical answer is square feet.
22
Select the correct answer.
Consider the graph of the function f(z)= 10⁰
-5 -4 -3 -2
F
5
4
3-
2-
-2-
-3-
T
3 4
What is the range of function gif g (z)= -2 f(z) + 1?
O A. (0,00)
OB.
(-00, 2)
O C.
(-00, 1)
OD. (-2,00)
The range of function g would be c. (-∞, 1).
The requried range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]. Option C is correct.
What is the range?The range is the set of values that come out to an outcome for a certain mathematical operation.
Here,
First find the function g(x),
So,
g(x) = -2(10ˣ) + 1
To calculate the range of the function g(x) = -2(10ˣ) + 1, we need to determine the set of all possible output values that the function can produce.
Notice that the function f(x) is a linear function of the form y = mx + b, where m = -2 and b = 1. Since the exponent function, 10ˣ is always positive, the value of -2(10ˣ) is always negative, and adding 1 to a negative number results in a range of all real numbers less than or equal to 1.
Therefore, the range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]
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Line A contains points (0, 3) and (3, 1) and Line B contains points (-1, 4) and (-7, 5). Explain if these lines are parallel, perpendicular, or
neither. Show all your work.
The lines are neither parallel or perpendicular
When do we say two lines are parallel or perpendicular or neither?
Two lines are said to be parallel if they have same slope, two lines are perpendicular if the product of the slopes are -1.
Slope of lines with coordinates (a,b), (c,d) can be given by [tex]\frac{d-b}{c-a}[/tex].
We are line A which contains point (0,3) and (3,1)
Slope of line A can be given by [tex]\frac{1-3}{3-0}[/tex]
Slope of line A = [tex]\frac{-2}{3}[/tex]
We are line B which contains point (-1,4) and (-7,5)
Slope of line B can be given by [tex]\frac{5-4}{-7+1}[/tex]
Slope of line B = [tex]\frac{-1}{6}[/tex]
Slope of line A and line B are different
Also the product of slopes line A and Line B is also not equal to -1
Hence the lines are neither parallel not perpendicular.
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An animal shelter had 7 cats , 8 dogs and 5 rabbits available for adoption. what is the ratio of rabbits to total animals at the shelter
Answer:
1:4
Step-by-step explanation:
There is 7+8+5 = 20 animals total rabbits are 5
5:20 is the same as 1:4
The angle of depression from a window 10m above the ground to a coin on the ground is 15°. a. Find the distance of the coin from the base of the building.
b. How far is the coin from the window.
The distance of the coin from the base of building is 37.3 m.
What is angle of depression?An angle of depression is stated to be formed by a horizontal line and the line that connects an item and the observer's eye. It is mostly used to determine the distance between the two objects when we are aware of the angles and height of an object above the ground.
Following is a list of the fundamental trigonometric ratio formulae, and both have the same formula for the angle of depression:
sin x = hypotenuse/perpendicular
base/hypotenuse = cos x
tan x = base/perpendicular
Let x serve as a representation of the distance from the coin to the building's base. When we use the necessary trigonometric function, we get:
Tan θ = perpendicular/base
Tan 15 = 10/x
0.2680 = 10/x
x = 10/0.2680
x = 37.3134
x = 37.3 m
The distance of the coin from the base of the building is 37.3 m.
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Last quarter, Stamford Paper Company shipped a total of 937,362 reams of paper. They shipped 190,122 reams of colored paper. About how many reams of white paper did the company ship? Choose the better estimate.
The quantity of white paper shipped by the company is 7,47,240 reams.
Here, we are given that last quarter, Stamford Paper Company shipped a total of 937,362 reams of paper.
Further, we are also given that they shipped 190,122 reams of colored paper.
Let us assume that there are only two types of papers that the company ships, these are- colored and white.
Thus-
colored paper + white paper = total paper shipped
Let the reams of white paper shipped be x
Substituting the values given in the question we get-
190,122 + x = 937,362
subtracting 190,122 from both sides we get-
x = 937,362 - 190,122
x = 7,47,240
Thus, the quantity of white paper shipped by the company is 7,47,240 reams.
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Which postulate proves the two triangles are congruent?
A. ASA
B. SAS
C. HL
D. SSA
If yall can help me with this, tysm
Answer:
m<1 = 37
m<2 = 68
m<3 = 68
m<4 = 143
m<5 = 75
Answer:
Angle 1 = 37° (alternate angles)
Angle 2 = Angle 3 (alternate angles)
Angle 2 and 3 = 180 - 112
= 68° (sum of angles on a straight line)
Angle 4 = 180 - 37
= 143° (sum of angles on a straight line)
Angle 5 can be found using more than one method. I'm just going to show two here.
Method 1:
Angle 2 + Angle 5 + Angle 1 = 180° (sum of angles on a straight line)
68 + Angle 5 + 37 = 180
Angle 5 = 180 - 68 - 37
= 75°
Method 2:
Angle 5 + Angle 3 + 37 = 180° (sum of angles in a triangle)
Angle 5 + 68 + 37 = 180
Angle 5 = 180 - 68 - 37
= 75°
Find the volume of the oblique cylinder below. Round your answer to the nearest tenth if necessary.
The volume of the oblique cylinder is 1,538. 6 cubic units
How to determine the volumeIt is important to note that the formula for determining the volume of an oblique cylinder is expressed as;
V = πr²h
Where;
v is the volume of the oblique cylinderπ takes the value 3. 14r is the radius of the oblique cylinderh is the height of the oblique cylinderNow, let's substitute the values into the formula
Volume, v = 3. 14 ×(7)² × 10
find the square of the value
Volume, v = 3. 14 × 49 × 10
Multiply the values
Volume, v = 1,538. 6 cubic units
Hence, the volume is 1,538. 6 cubic units
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Answer: 2010.6 units^3
Step-by-step explanation:
volume=πr2
=π multiply 8^2 multiply 10
=π times 64 times 10
=2010.619298
therefore 2010.6 units^3 is the answer
PLEASE HELP ASAP ITS GEOMETRY
Answer:
I don't realy know
Step-by-step explanation:
I think it's B
write 6/9 in lowest terms
Answer: 2/3
Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.
GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.
Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.
Factors of numerator (6): 1, 2, 3, 6
Factors of Denominator (9): 1, 3, 9
both numbers have a common factor of 3 which is the greatestSteps to Calculate:
1. Find the GCF
2. Divide numerator and denominator by GCF
6/3 = 2
9/3 = 3
Therefore, the lowest term would be 2/3
mel drives a bus 39 weeks in a year
she drives the bus an average of 298 miles each week
work out an estimate for the total number of miles mel drives the bus in one year
The total number of miles Mel drives the buses in one year is 11,622.
Solution:-
= 39 x 298 = 11,622
The distance can also be calculated in miles if you know the speed and time it will take to travel a certain distance. Just multiply the speed by the time. If the car is going 64 mph and he drives for 2 hours, he has traveled 130 miles. A conventional car can drive him 200,000 miles. Some well-maintained vehicles have over 300,000 total miles.
Currently, the average age of a US car is about 12 years. Choosing a well-made make and model can extend the life of your vehicle. A used car with a low annual average can be considered to have good mileage. Simply divide the mileage by the age of the car to get an annual average.
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Jenny has a bank account that pays 2.13% simple interest. The balance is $3000. When will the account grow to $3,800? Round to the nearest tenth of a year.
It will take 12.51 years for a Jenny's balance of 3000 to grow to 3800
Balance in Jenny's account = $3000
Rate of interest = 2.13%
Required amount = 3800
Simple interest is a quick and simple technique to compute interest on money. Interest is always applied to the initial principal amount and is calculated at the same rate for each time cycle.
The formula for simple interest is given:
Simple interest = P*R*T/100
where P = principal amount invested
R = rate of interest
T = time period in years
Substituting the values in the formula we get:
Amount = P*R*T/100 + P
3800 = 3000*2.13*T/100 + 3000
800 = 63.9T
T = 12.51
So, it will take 12.51 years
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Roland needs 8 8 sheets of fabric that are each 45 4 5 yard long. use the drop-down menus to complete the equation. clear check 8 8 sheets 4 4 yards per sheet = = yards 5 5
Roland needs a 32/5 part sheet of fabric.
Given that,
Roland needs 8 sheets of fabric that are each 4/5 yard long.
We have to determine the length of the sheet of fabric required.
Complete the equation.
According to the question,
To complete the equation following all the steps given below.
Roland needs 8 sheets of fabric that are each 4/5 yard long.
Then,
(a/b)(c/d)
(8/1) (4/5)
32/5
Hence, Roland needs a 32/5 part sheet.
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which is true about parallel lines? they always intersect at the origin. they have equal slopes. they meet at a angle. the product of their slopes is always 0.
Answer:
They have equal slopes.
Step-by-step explanation:
Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching.
6. The graph of a function contains the points (2, 11), (-1,5), (-3,21)
and (x, y). Which of the following could be (x, y)?
A. (-2, 11)
B. (2,5)
C. (-3, 15)
D. (-1,9)
Answer: c
Step-by-step explanation:
yes
joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively. years later when the partnership was worth $1.6 million, thea decided to go to graduate school and sells her part of the partnership to joe.
To buy thea's share, Joe would need $ 533,333.33.
After buying thea's portion, Joe will own 41.6%.
Given, joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively.
Total ratio is = 1+4+7 = 12
hence joe = 1/12
thea = 4/12
taylor = 7/12
therefore share of each person:
1/12 × 1,600,000 = 133,333.33 -- Joe's share
4/12 × 1,600,000 = 533,333.33 -- thea's share
7/12 × 1,600,000 = 933,333.33 -- taylors share
total = 1,599,999.99 rounds to 1,600,000.00 or 1.6 mil
to buy thea's share, Joe would need $ 533,333.33.
after buying thea's portion, Joe will own :
(1/12 + 4/12) = 5/12 = 0.416 = 41.6%
Joe would require $533,333.33 to purchase Thea's portion.
Joe will hold 41.6% after purchasing Thea's share.
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A monster cookie recipe calls for 2 cups of chocolate chips, 1 cup of nuts and 3 cups of oatmeal. Mary has 9 cups each of oatmeal, chocolate chips, and nuts. If Mary repeats this exact recipe as many times as possible, how many cups of chocolate chips will she use?
A. 2 cups
B. 4 cups
C. 6 cups
D. 8 cups
Answer:4
Step-by-step explanation: because you only have 9 cups of chocolate chips in total and the recipe calls for 2 per times you make the recipe, so if you add the amount of times you can make the recipe, you have one cup left over, and 4 times 2 equals 8.
Answer: B
Step-by-step explanation:
If 4 inches of rain fell in 3 hours, how much rain fell on average each hour? (HURRY PLEASE).
Answer:
4/3 inches per hour
Step-by-step explanation:
take the number of inches and divide by the time to find the rate
4 inches / 3 hours
1.333333 inches per hour
4/3 inches per hour
PLS HELP
ITS FROM CPM CC3 3.1.3
23-(17-3x4)^2+6
Andre drew a plan of his courtyard at a scale of 1 inch to 5 feet. On his
drawing, one side of the courtyard is 2.75 inches. What is the actual
measurement of that side of the courtyard?
A. 2.72 feet
B. 13.75 feet
C. 21.82 feet
D. 62.75 feet
2.75 in
Scale
linch
5 feet
the measurement of that side of the courtyard is 13.75feet
