b = juice bottle price
\(\stackrel{\textit{one bag of popcorn}}{3.47} + \stackrel{\textit{10 juice bottles}}{10b} = \stackrel{\textit{before tax}}{23.47} \\\\\\ 10b = 23.47-3.47\implies 10b = 20\implies b=\cfrac{20}{10}\implies \stackrel{\textit{two bucks}}{b = 2}\)
Can someone help me please
Paul's budget for food is 30% of the budget he has for rent.
If his budget for food is $225, what is his budget for rent?
Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.
What are fractions?Fractions are representation of quantities as a part of a certain quantity.
Written as a/b, read as a by b, and functions as a divided by b, represents a fraction showing a parts of b equal parts.
a is called the numerator, and b is called the denominator.
What are percentages?Percentages are modified fractions where the whole quantity is represented by 100.
To convert a fraction into percentages we multiply it by 100, while to convert percentages to fraction divided by 100.
How to solve the question?In the question, we are given that Paul's budget for food is 30% of the budget he has for rent.
We are asked if his budget for food is $225, what is his budget for rent.
We assume Paul's budget for rent to be $x.
We know that Paul's food's budget is 30 percent of his rent.
Hence, Paul's food budget = 30% of x.
or, Paul's budget for food = 30/100 * x {To convert percentages to fraction divided by 100}
But, we know that Paul's food budget is $225. Thus, we can show that:
225 = 30/100 * x,
or, x = (225*100)/30 = 750.
Thus, Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.
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9. If point Q is reflected across x = 1, what are the coordinates of its reflection image?
The coordinates of reflection image are (-1, -2).
What is point reflection?
A particular kind of Euclidean space isometry is known as a point reflection in geometry. A thing is said to have point symmetry if it is invariant under a point reflection; if it is invariant under a point reflection through its center, it is said to have central symmetry or to be centrally symmetric.
Given:
point Q is reflected across x = 1.
From graph the point Q is (3, -2).
We have to find the coordinates of its reflection image.
x = 1 is a vertical line passing through all points with an x- coordinate of 1.
(3, - 2) is 2 units to the right of x = 1 ( 3 - 1 ), thus
The reflection is 2 units to the left of x = 1 ( 1 - 2 = - 1 )
Q(3, - 2 ) → Q'(- 1, - 2 )
This is because the x-coordinate goes 2 units left to the line x = 1 and the y-coordinate remains the same.
Hence, the coordinates of reflection image are (-1, -2).
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You and your family go camping.
Your campsite is square. The area
of your campsite is 900 square
feet. What is the perimeter of the
campsite?
Answer:
The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.
Step-by-step explanation:
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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What is another way to write 4^6?
6+6+6+6
4+4+4+4+4+4
4×4×4×4×4×4
6×6×6×6
Hello there!
Another way to write 4^6 is 4×4×4×4×4×4.
Because 4^6 means 4 times 4 times 4 times 4 times 4 times 4.
I hope this helps you!
~Just a joyful teen
\(*SilentNature*\)
\((GraceRosalia)\)
Answer:
4,000,000
is this powers of ten? plz tell me
29. Assertion :7√5, √2+21 are the irrational number. Reason: every integer is an rational number 30.
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.
An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.
In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.
Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.
The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.
In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.
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What is the equation of the line?
Answer:
So first y intercept
SO the first part where the line hits the Y axis is 2
So the y intercept is 2 Which leaves 2 choices .
Now from that y-intercept or from any point, find the slope by just rising or running till you reach a point which in this case would be
Y=1/2x+2
-2(x + 27) = -34
Well I need a hole lot of help
Answer: x=-2
Step-by-step explanation: Distribute then add -54 to both sides bam then divide by -2
Answer:
X= -10 | Hope this helped! :')
Steps for answer!
1. Divide both sides by -2.
x+27=-34/-2
2. Two negatives make a positive.
x+27=34/2
3. Simplify 34/2 to 17.
x+27=17
4. Subtract 27 from both sides.
x=17-27
5. Simplify 17-27 to -10.
x=-10
---------------------
Checking answer:
−2(x+27)=−34
1. Let x=−10.
−2×(−10+27)=−34
2. Simplify -10+27 to 17.
−2×17=−34
3. Simplify -2 x 17 to -34.
-34=-34
Done by NeighborhoodDealer.
21. Insert one digit in each box to complete
the subtraction problem. You will not use
the same digit twice.
4, x 8 x
- x, 8 8 9=
The complete subtraction problem is given by the image at the end of the answer.
How to complete the subtraction problem?In this problem, we have to complete the subtraction problem given on the image at the end of the answer.
The subtraction starts from the last decimal digit, hence:
2 - 0 = 2.
Then, from the first decimal digit, we have that:
x - 8 = 3.
x = 11.
A single digit cannot be written as 11, hence it will be written as 1 plus 10 taken from the unit digit of the integer part.
Then the subtraction at the unit digit of the integer part will be of:
3 - 9 = ... (3 because one was taken for the decimal part).
Hence one is taken from the tenths digit, and the equivalent subtraction is:
13 - 9 = 4.
Hence these terms become known:
The units digit on the subtraction will be of 4, as calculated above.The tenths digit on the top term will be of 3, as after one was taken the subtraction by 0 had a result of 2.Thus the complete problem is:
34.12 - 9.8 = 24.32.
Missing InformationThe boxes are given by the image at the end of the answer.
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Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
15(2x -10) + 4x= -3(15x + 4)
The value of x in the equation 15(2x - 10) + 4x = -3(15x + 4) is 1.7
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators.
Given the equation:
15(2x - 10) + 4x = -3(15x + 4)
Solving the parenthesis:
30x - 150 + 4x = -45x - 12
Collect like terms:
30x + 4x + 45x = -12 + 150
79x = 138
Dividing both sides by 79:
x = 1.7
The value of x is 1.7
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Find the quotient and express the answer in scientific notation. 302 ÷ (9.1 x 10^4 )
The quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)
How to find the quotientDividing 302 by 9.1 gives:
302 ÷ 9.1 ≈ 33.1868131868
Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:
33.1868131868 ≈ 3.31868131868 x\(10^1\)
Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)
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A flagpole is at the top of a building. 300 feet from the base of the building, the angle of elevation of the top of the pole is 32 degrees and the angle of elevation of the bottom of the pole is 30 degrees. Determine the length of the flagpole (to the nearest foot).
Answer: We can use tangent here to find the length of the flagpole
First, find the length of the building + the flag pole
tan 32 = x/300
x=300tan32=187.460805573
(length of building + flagpole)
find length of building
tan 30 = x/300
x=173.205080757
subtract
187.460805573-173.205080757=14.255724816
round, length of flagpole = 14 feet
The length of the flagpole is 14.26 feet.
What is ratio formula of tangent ?
In a triangle, if A be the adjacent side of the angle C & B be the opposite, then tan C = Opposite side/ Adjacent side = B/A
What is the required flagpole length ?
Let, Length of building + length of flagpole = x
Distance from the base of the building = 300 feet
Then, tan32° = x/300
⇒ x = 300 tan32°
⇒ x = 187.46
Now, let, length of the building = y
Then, tan30° = y/300
⇒ y = 300 tan30°
⇒ y = 173.2
So, length of the flagpole = 187.46-173.2 =14.26 feet
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Suppose I deposit $500 into my bank account that earns 3% interest per year. Is the total amount in my bank account per year a linear relationship? Hint: use a table of values and look at the rate of change. Also, keep in mind that once you earn interest, the next year you will earn interest not only on your original investment but on the new amount.
Answer:
The total amount in your bank account per year is not a linear relationship, it's compound interest.
Step-by-step explanation:
The total amount in your bank account per year is not a linear relationship because it is not a straight line. Linear relationships are defined by an equation in the form of y = mx + b, where m is the slope of the line, x is the independent variable and y is the dependent variable, and b is the y-intercept.
In this case, the total amount in your bank account per year is not a straight line, it is a curve. The total amount in your bank account will increase as a function of time, but the rate of increase is not constant as it is with linear relationships.
The amount of money in your account will increase over time as the interest is compounded. The interest is calculated on the principal + accumulated interest, so the growth rate of the account is not constant, it increases as the balance grows.
For example, the first year you will earn $5000.03 = $15 in interest, and the second year you will earn $5150.03 = $15.45 in interest, the next year the interest will be $530.45*0.03 = $15.91 and so on.
hi I'm Danica and it's sixth grade I would really like if you look over this problem and tell me the answer!!!!!!!!!!!!!!!!!!(asap but take your time if you have to)
Explanation:
Coordinate of A (1, 2)
A translation of c units to the right is written as: f(x -c) = (x + c, y)
A translation of c units to the left is written as: f(x + c) = (x - c, y)
A translation of d units to up is written as: f(x) + d = (x, y+d)
A translation of d units to down is written as: f(x) - c = (x, y -d)
If the point A is translated 3 units to the right:
(x, y) to (x+3, y)
Then translated 2 units up:
(x, y) to (x+3, y + 2)
Algebraic transformation is (x+3, y + 2) Option (B)
Find ordered pairs y=-7x+8
The ordered pairs for the equation y = -7x + 8 are (0, 8), (1, 1), and (-1, 15).
What are the ordered pairs for the equation y?To find ordered pairs for the equation y = -7x + 8, we can substitute different values of x and solve for y.
Let's choose three values of x:
When x = 0, y = -7(0) + 8 = 8. So one ordered pair is (0, 8).
When x = 1, y = -7(1) + 8 = 1. So another ordered pair is (1, 1).
When x = -1, y = -7(-1) + 8 = 15. So another ordered pair is (-1, 15).
Therefore, the ordered pairs are (0, 8), (1, 1), and (-1, 15).
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The equation a(s) = 37.5s - 1.5s2 models the function
represented in the table. Fill in the blank to complete the
restricted domain of the function. D = {0 ≤s ≤
The restricted domain of the function is 0≤s≤25
The equation is a(s) = 37.5s - 1.5s² models the function represented in the table
a(s) = s(37.5 - 1.5s)
The critical points are s=0 or
37.5 - 1.5s
37.5 = 1.5s
s=25
As area can not be negative, the area should be positive
s< 0 and s>25
Therefore, restricted domain is 0≤s≤25
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ASAP PLS HELPPP ILL MARK BRAINLIEST
Answer:
Midpoint: (7, 7.5)
Hello there! :)
The formula for finding the midpoint is:
M=(\(\frac{x1+x2}{2} ,\frac{y2-y1}{2}\))
Plug in the numbers:
M=(\(\frac{10+4}{2}, \frac{6+9}{2}\))
M=(\(\frac{14}{2} ,\frac{15}{2}\))
M=\((7,7.5)\)
Hope it helps
Can I please have Brainliest? Thanks! :)
\(*GraceRosalia*\)
what is the linear equation that has a y-intercept of -4 and a x-intercept of -5
The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
Equation of a lineThe equation of a line in slope intercept form is expressed y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:
Slope = y₂-y₁/x₂-x₁
Slope = 4/-5
Slope = -4/5
Determine the equation
y = -4/5x + (-4)
y = -4/5x - 4
Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
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What is the value of log6 49?
Round your answer to two places.
Answer: 2.17
Step-by-step explanation: To get the answer you count the first two numbers on the Decimal Form, starting behind the period.
(2.17206626)
There is a straight road between town A and town B of length 130 km.
Maxi travels from town A to town B.
Pippa travels from town B to town A.
Both travel at a constant speed of 40 km/h.
Maxi leaves 30 minutes before Pippa.
Work out how far from town A they will be when they pass each other
They will be when they pass each other at 44 4/9 mins.
This is a classic question on Speed, time, & distance.
1. When time traveled in each segment is constant, then average speed is simple mean of speeds.
2. When distance traveled in each segment is constant, then average speed is reciprocal of simple mean of reciprocal of speeds. It is basically called Harmonic mean.
So this question falls in the category of 2.
=> So, average speed = Reciprocal of mean of reciprocals of 40 & 50.
=> Average speed = Reciprocal of mean of 1/40 & 1/50.
=> Average speed = Reciprocal of (1/40 + 1/50)/2
= Reciprocal of (5+4)/400
= 44 4/9 mins
Hence, they will be when they pass each other at 44 4/9 mins.
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John has $55. He buy 6 books. Each book cost the same amount . He now has 10
Answer:Answer: $7.50
Step-by-step explanation:
$55-$10=$45 45/6=7.5
Step-by-step explanation:
Can y'all help me with this puzzle question?
Answer:
I would say B go with ur best bet
A closet in the shape of a rectangular prism is 2 feet deep, 5 feet wide, and 7 feet tall. What is the volume of the closet in cubic feet?
Answer:
70 cm
Step-by-step explanation:
Answer:
70 cubic feet
Step-by-step explanation:
First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:
2*5=10
Next multiply 10 by the 7 feet tall. You can write this like:
10*7=70
70 cubic feet is the answer
which statement is true of the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2
The statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
Given, two functions y = -2f(x) = 1/x
To determine whether the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true or false, we need to find the value of Y for both functions when x = -2.
Substituting x = -2 in the functions we get:I would ask y = -2(-2) = 4f(-2) = 1/(-2) = -1/2Therefore, the Y value of the function I would ask is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2. Hence, the given statement is true.
Therefore, the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
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what is √ 169 please answer fast and the correct answer please
Answer:
Step-by-step explanation:
Answer:13
Step-by-step explanation:
By eating one egg one cupcake and one slice of pizza a child consumes 303 mg of cholesterol. if the child eats three cupcakes in four slices of pizza he or she takes in 93 mg of cholesterol. by eating two eggs in 1 cup cake a child consumes 569 mg of cholesterol. how much cholesterol is in each item?
The amount of cholesterol that is in each is given as c = 19, E = 275 and P = 9
How to solve for the cholesterolWe have to define the variables as:
E + C + P = 303
3C + 4P = 93,
we have to make pizza, P the subject
4P = 93 - 3C,
P = (93 - 3C) / 4
2E + C = 569,
2E = 569 - C
E = (567-C) / 2
We have to form the equation
(569-C)/2 + C + (93-3C)/4 = 303
We have to multiply the equation by 4
(569-C)2 + 4C + 93-3C = 1212
1138 - 2c + 4c + 93 - 3c = 1212
-C = 1212- 93 -1138
-c = -19
hence c = 19 mg for 1 cupcake
E = (569- 19)/2
275 for 1 egg
P = (93-3C)/4
P = 93 - 57 / 4
= 36 / 4
= 9 for one pizza
Hence we would have c = 19, E = 275 and P = 9
19 + 275 + 9 = 303 (proves it to be correct)
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19+274 + 7 = 300 mg
a patio furniture set sells for $935 on installment plan, which includes finance charge the payment plan calls for 15 percent down and the balance in 12 equal paymnets. the ampount of the payment is
The monthly payment for the patio furniture will be $66.23
Cost of the patio furniture = $935
Since there's a 15% down payment, then the amount that the buyer will pay will be:
= 15% × $935
= 0.15 × $935
= $140.25
Therefore, the amount that is left to pay will be:
= $935 - $140.25
= $794.75
Since the balance will be paid for 12 months, the monthly payment will be:
= $794.75 / 12
= $66.23
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Answer:
$66.23
Step-by-step explanation:
See tutor response above
Sadie is selecting two pieces of paper at random from the stack of colored paper in her closet. The stack contains several sheets of each of the standard colors- red, orange, yellow, green, blue, and violet.
All of the following are possible outcomes for Sadie's selection, except:_________.
a. Green, violet
b. Blue, black
c. Orange, yellow
d. Red, red
Answer:blue black
Step-by-step explanation: