Answer: -73.485 is the answer.
206) A recipe for cupcakes calls for 3-
3
10
200
7
sugar. Julio accidentally put in 4-
10
How many extra cups did he put in?
cups of
cups.
Julio accidentally put in an extra 1/10 cup of sugar.
To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).
The difference can be calculated as follows:
Actual amount - Required amount = Extra amount
= 4/10 - 3/10
= 1/10
Therefore, Julio accidentally put in an extra 1/10 cup of sugar.
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The tent shown is a triangular prism. What is the amount of space inside the tent?
A.What is the length of the tent, to the nearest foot, from the front to the back?
B. What formula will find the space inside the tent ? what is the space inside the tent?
The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.
What is the volume of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
The volume of a right triangular prism = ( height × Base Area)
A. The length of the tent to the nearest foot, from the front to the back
= 15 + 6 + 15+ 6
= 42 ft
B. Given that the tent is in the shape of a triangular prism the volume of the prism will be given by:
The volume of a right triangular prism = ( height × Base Area)
height = √(36 - 9)
= √27
The volume of a right triangular prism = √27 × 157.2
= 816.83
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A parent is using a garden hose to fill up a small inflatable pool for her young child. The
pool has a capacity of 90 gallons. She turns the water off after 5 minutes, but leaves the
hose in the pool for another 3 minutes before putting it away.
In this situation, the relationship between the gallons of water in the pool and the 8
minutes since the parent started filling the pool can be seen as a function.
1. In that function, which variable is independent? Which one is dependent?
Answer:
The independent is the 90 gallons and the dependent is the 8 minutes.
Hope this helps!
Step-by-step explanation:
which of the following sampling strategies makes it difficult to discern what sub-population the sample represents?
Convenience sampling represents the sub-population of the sample strategies.
Convenience sampling is defined as a type of non-probability sampling that involves the sample being drawn from that part of the population that is close to hand and is a type of sampling that is most useful for pilot testing.
Convenience sampling can be used by almost anyone and has been around for generations. One of the reasons that it is most often used is due to the numerous advantages it provides
Expedited data collection, Ease of research, Ready availability, Cost-effectiveness.
Bias, Power is the disadvantages of convenience sampling.
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Please help me thank you
Answer:
The missing number is 30
Step-by-step explanation:
When you look at the chart and see that it starts at 6 and then goes to 12,18, and 24 you are simply adding 6 each time to get the next number.
Tessa and her grandmother are decorating Tessa's Quinceanera dress using two types of beads. They plan to use a total of 900 beads arranged in the pattern shown. How many of each type of bead do they need
Using proportions, it is found that they need 750 white beads and 150 red beads.
What is a proportion?A proportion is a fraction of a total amount.
Researching the problem on the internet, it is found that the pattern states the following:
\(\frac{5}{6}\) of the beads are white.\(\frac{1}{6}\) of the pattern is red.Hence:
\(\frac{5}{6} \times 900 = 750\)
\(\frac{1}{6} \times 900 = 150\)
They need 750 white beads and 150 red beads.
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Write the phrase as an algebraic expression.
Two less than seven times a number c is written as
.
Answer: 7c-2
Step-by-step explanation:
You are mailing a package that weighs 5 pounds, and sending it first class. The post office charges $0.44 for the first ounce, and charges $0.20 for each additional ounce. How much is the total cost to mail this package?
Step-by-step explanation:
The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain after 1000
years?
Answer:
258.65 mg will be remain after 1000 years
Step-by-step explanation:
This problem can be solved several ways, I prefer the natural log approach for reasons I won’t go into here:
Activity final = Activity initial e^-kt, where
k = the decay constant, = ln2/half life = 0.693/1590, = 0.000436/year
t = the decay time, in the same time base as k
The problem can be worked in units of activity, mass, or number of atoms.
400 x e^-0.000436 x 1000 = 400 x e^-.436 = 258.65 mg
you can check this by estimating. There is about 2/3 of a half life, so there should be more than 200 mg, which would be the value at one half life.
A boat can travel 10 miles against a current in the same time that it can travel 40 miles with the current period the right of the current is 3 mph. Find the right of the boat in Stillwater
Answer:
5 mph
Explanation:
Let the rate (speed) of the boat in still water = x
The speed of the current = 3 mph
Thus:
• The speed against the current = (x-3) mph
,• The speed with the current = (x+3) mph
\(\begin{gathered} Speed=\frac{Distance}{Time} \\ TS=D \\ \implies Time=\frac{Distance}{Speed} \end{gathered}\)Since the time it took on both trips is the same, we have that:
\(\frac{10}{x-3}=\frac{40}{x+3}\)So, we solve the equation for x:
\(\begin{gathered} \text{ Cross multiply} \\ 10\left(x+3\right)=40\left(x-3\right) \\ Open\text{ the bracket} \\ 10x+30=40x-120 \\ 30+120=40x-10x \\ 150=30x \\ \text{ Divide both sides by 30} \\ \frac{150}{30}=\frac{30x}{30} \\ x=5\;mph \end{gathered}\)The rate of the boat in still water is 5 mph.
. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
Easy math help picture below problem 4
Answer: is 126 degrees
Step-by-step explanation:
12. Hayden and Jamie completed 20 math problems together. Jamie
completed 2 more than twice the number that Hayden completed. Let
p represent the number of math problems Hayden completed. Write an
equation that can be used to find the number of math problems that
Jamle completed
Answer:
No of problems Jamle completed = 2p-2
Step-by-step explanation:
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Answer:
2p-2
Step-by-step explanation:
Solve for x. 6/-4.5=8/4x
Answer: x = -3/2 , x = -1 1/2 , x = -1.5
Step-by-step explanation:
6/-4.5 = 8/4x
first determine the defined range --> x ≠ 0
cancel out the common factor 4 --> 6/-4.5 = 2/x
the convert the decimal into a fraction --> 6/-9/2 = 2/x
now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x
then simplify the complex fraction --> -4/3 = 2/x
simplify the equation using cross-multiplication --> -4x=6
divide both side of the equation by -4 --> x = -3/2 , x ≠ 0
lastly, check if the solution is in the defined range --> x = -3/2
solution : x = -3/2
Alternative form: x = -1 1/2 , x = -1.5 (simplified)
Rob collects data about how many customers enter and leave a store every hour. He records a positive number for additional customers entering the store each hour and a negative number for customers leaving the store each hour. Drag and drop the correct choices into the boxes to complete the answers to the questions.
1) 3:00 to 4:00
The absolute value of the number of people leaving is greater than the absolute value of the number of people entering.2) 103
From 1:00 to 2:00, a total of 14 more people entered, meaning there were 99 people.From 2:00 to 3:00, a total of 8 more people entered, meaning there were 107 people.From 3:00 to 4:00, a total of 4 people left, meaning there were 103 people.The required solution is 4:00 to 5:00 and 87 customers.
It is required to fill in the blanks.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
According to question , Initially, there were 75 customers.
From 1:00 to 2:00, a total of 30 more people entered, meaning there were
75 + 30 - 12
= 93 people.
From 2:00 to 3:00, a total of 14 more people entered, meaning there were
93 + 14 - 8
= 99 people.
From 3:00 to 4:00, a total of 18 people entered, meaning there were
99 + 18 - 30
= 87 people.
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.
Therefore, the required solution is 4:00 to 5:00 and 87 customers.
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O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
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Hurry please !!!
The graph of g(x) is a translation of y = V.
Which equation represents g(x)?
ly
g(x) = - 4
5
4
g(x) = 3/X+4
3
27
900)
O g(x) = 5x +1.5
1
g(x) = -1.5
-10 -3 -6 -21
2
6
810
X
Answer:
The translation corresponds to : \(g(x)=\sqrt[3]{x-4}\)
which is the first option in your list of possible answers
Step-by-step explanation:
Notice that this new function's graph responds to a horizontal translation to the right of the original graph of \(f(x)=\sqrt[3]{x}\). Notice that the crossing of the x-axis, which for f(x) is at the origin (0, 0), has now moved to the point (4,0), which means a translation to the right in exactly 4 units.
Recall that horizontal translations are performed by subtracting from the independent variable (x) , the number of units you move (in this case 4)
Therefore the new function should look like:
\(g(x)=\sqrt[3]{x-4}\)
The answer is A.
did the test
find the value of x.
Answer:
x=136°
Step-by-step explanation:
according to the question
44+x=180
x=180-44
x=136
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
A bag of marbles has 12 green marbles, 5 red marbles, 8 blue marbles and 7 yellow marbles. What is the probability of randomly selecting a blue marble?
Probability = # of desired options / # of total options
Our desired option is blue and there are 9 blue marbles in the bag.
There are 32 total marbles (options) in the bag.
P(blue) = 9 / 32 = 0.28125 = 28.125%
Hope this helps!
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⇒For m=2 and n=-3 in the equation 3m-4n In the place of m plug in 2 and in the place of n plug in -3 and simplify.
\(=3(2)-4(-3)\\=6+12\\=18\)
Option C is the answer.
Here is a pattern made from sticks with a triangle what is n
A total of 100 people went to the
movies. A ticket cost $4 for adults and
$2 for children. The total sales
amounted to $276. How many children
and adults attended the movies?
Using a system of equations, the number of children and adults who attended the movies is as follows:
Children = 62Adults = 38.What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also known as simultaneous equations.
The total number of people who went to the movies = 100
The unit cost of adult tickets = $4
The unit cost of children tickets = $2
The total sales = $276
Let the number of children who attended the movies = x
Let the number of adults who attended the movies = y
Equations:x + y = 100 ... Equation 1
2x + 4y = 276 ... Equation 2
Multiply Equation 1 by 2:
2x + 2y = 200 ... Equation 3
Subtraction Equation 3 from Equation 2:
2x + 4y = 276
-
2x + 2y = 200
2y = 76
y = 38
Substitute y = 19 in equation 1:
x + y = 100
x + 38 = 100
x = 62
Check in Equation 2:
2x + 4y = 276
2(62) + 4(38) = 276
124 + 152 = 276
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please help me with this math problem i’ll give you brainlist
Answer:
b 25 i think
Step-by-step explanation:
A rental car company charges 23.95 per day to rent a car and $0.08 for every mile driven. Nathan wants to rent a car, knowing that:He plans to drive 400 miles.He has at most $440 to spend.Which inequality can be used to determine x, the maximum number of days Nathan can afford to rent for while staying within his budget?
Answer
Explanation
The total charge on the car = (Charge based on number of days) + (Charge based on the number of miles)
Charge based on number of days = (23.95) (x) = (23.95x) dollars
Charge based on the number of miles = (0.08) (400) = 32 dollars
(The total charge on the car) ≤ 440
23.95x + 32 ≤ 440
23.95x + 32 - 32 ≤ 440 - 32
23.95x ≤ 408
Divide both sides by 23.95
(23.95x/23.95) ≤ (408/23.95)
x ≤ 17.04
Hope this Helps!!!
What number line represents the solution for the inequality -1\2x>4
Answer:
Step-by-step explanation:
-1\2x>4
-x> 8
x < -8
The one without a shaded knob starting from -8 on the x-axis; projecting leftward.
Use a calculator to solve for x in the equation 2e3x = 400. Round your answer to three decimals.
Question 8 options:
A)
6.397
B)
1.766
C)
5.991
D)
5.298
The value of the expression is 1.766.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given the expression,
2\(e^{3x}\) = 400
divide by 2 into both sides
\(e^{3x}\) = 400/2
\(e^{3x}\) = 200
converting the expression in form of a log,
ln(\(e^{3x}\))= ln(200)
log(aⁿ) = n log(a)
3x ln(e) = ln(200) [ln(e) = 1 and ln(200) = 5.2931]
3x = 5.2931
x = 1.766
Hence Option B is correct.
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SQUARE
If PR = 4x+15 and SQ =47, find the value of x.
Р
Q
T
S
R
Answer:
x = 8
Step-by-step explanation:
The diagonals of a square (or any rectangle) are the same length.
PR = SQ
4x +15 = 47
4x = 32 . . . . . . subtract 15
x = 8 . . . . . . . divide by 4
x + 2 = - 19..............
Answer: -21
Step-by-step explanation:
\(x+2=-19\\\\What\ value\ of\ x\ will\ make\ the\ left\ side\ equal\ to\ -19?\\\\Well,\ if\ we\ subtract\ 2\ from\ both\ sides,\ we\ get\ our\ answer...\\\\x+2-2=-19-2\\\\The\ 2\ and-2\ on\ the\ left\ cancel\ out\ leaving\ us\ with\\\\\boxed{x=-21}\)
We can check our work by plugging back in -21 for x and getting -19 = -19
Please Help! Simplify the expression. [(7−3)⋅2+6]⋅3
Answer:
42
Step-by-step explanation:
[ ( 7 - 3 ) * 2 + 6 ] * 3
= [ 4 * 2 + 6 ] * 3
= [ 8 + 6 ] * 3
= 14 * 3
= 42