She earned a total of $44 from doing chores for her neighbors.
What is amount?Amount is a numerical quantity that is used to measure, count, or indicate the size, magnitude, or extent of something. It can be used to refer to a variety of things, including money, people, time, temperature, and even abstract concepts. Amounts are often expressed as a numerical value, but may also be expressed as a word or phrase.
Alice earned $44 doing chores for her neighbors. She spent $15 on a book, leaving her with $29. She then spent half of that, or $14.50, on the necklace, leaving her with $14.50. Therefore, she earned a total of $44 from doing chores for her neighbors.
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What is five percent of $97.25
Answer: 4.8625
Step-by-step explanation:
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 1, 2−√3
The polynomial function is [tex]f(x) = x^3+(\sqrt3-3)x^2+(2-3\sqrt3)x+2\sqrt3[/tex].
What is standard polynomial function?The standard polynomial is given by:
f(x) = a(x-p)(x-q)(x-r) ...
Where a is the leading coefficient and p and q are the zeros.
Here We are given that the zeros are x = 1,2,and −√3.
Now leading Coefficient a = 1, p=1 , q=2 and r=−√3
Then the function is,
=> f(x) = 1(x-1)(x-2)(x-(−√3))
=> f(x)=(x-1)(x-2)(x+√3)
=> f(x)=[tex](x^2-2x-x+2)(x+\sqrt3)[/tex]
=> [tex]f(x)=x^2-3x+2(x+\sqrt3)[/tex]
=>[tex]f(x)=x^3+\sqrt3 x^2-3x^2-3\sqrt3 x+2x+2\sqrt3[/tex]
=> [tex]f(x) = x^3+(\sqrt3-3)x^2+(2-3\sqrt3)x+2\sqrt3[/tex]
Hence the polynomial function is [tex]f(x) = x^3+(\sqrt3-3)x^2+(2-3\sqrt3)x+2\sqrt3[/tex].
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: b
Step-by-step explanation:
Find the difference. Write your answer in scientific notation. ( 8.4 × 1 0 3 ) − ( 6.4 × 1 0 2 ) (8.4×10 3 )−(6.4×10 2 )
The difference is 7.76 × 10³ in scientific notation.
What is scientific notation?
Scientific notation is a way of expressing a number as a number between 1 and to multiplied by a power of 10.
We can perform the subtraction in the usual way, using the fact that the numbers are already in scientific notation:
(8.4 × 10³) − (6.4 × 10²) = 8.4 × 1000 − 6.4 × 100
= 8400 − 640
= 7760
To write this in scientific notation, we can express the result as a number between 1 and 10 multiplied by an appropriate power of 10. In this case, we can write:
7760 = 7.76 × 10³
Therefore, the difference is 7.76 × 10³ in scientific notation.
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2/3 mile in 1/4 hour how many miles in one hour
Answer:
8/3
Step-by-step explanation:
To find how many miles are in one hour, we need to scale up the distance covered in 1/4 hour to the distance covered in 1 hour.
We can start by finding the distance covered in 1 hour:
2/3 mile in 1/4 hour = (2/3) ÷ (1/4) = 8/3 miles in 1 hour
Therefore, the ball covers 8/3 miles in one hour.
Answer:
8/3 miles an hour
Step-by-step explanation:
Because you can travel 2/3 in 1/4 (or 0.25) of an hour, that means you can travel 4 times that distance in 1 hour, assuming the velocity is constant.
To find this then, we simply multiply 2/3 by 4 (2/3*4/1) to get our final answer of 8/3 miles an hour.
| ² + (AD)² = (2x)²
(AD)² = | x² − x²
x=²
√3
(AD)² =
AD =
The length of AD is 3 units.
How can we solve?We begin from the equation:
| ² + (AD)² = (2x)²
An equation is described as a formula that expresses the equality of two expressions, by connecting them with the equals sign.
Next step we take is simplifying the right-hand side by squaring 2x:
| ² + (AD)² = 4x²
Substituting x=√3, we get:
| ² + (AD)² = 4(√3)²
| ² + (AD)² = 4(3)
| ² + (AD)² = 12
(AD)² = 12 - ²
(AD)² = 12 - 3
(AD)² = 9
AD = √9
AD = 3 units
Therefore, the length of AD is 3 units.
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Use the compound interest formula, A ( t ) = P ( 1 + r n ) n t . An account is opened with an intial deposit of $5,500 and earns 3.6% interest compounded semi-annually. Round all answers to the nearest dollar. a . What will the account be worth in 15 years?
The aacrued amount in the account in 15 years to the nearest dollar is $9,393.
What is the accrued amount in the account in 15 years?The formula accrued amount in a compounded interest is expressed as;
A = P( 1 + r/n )^( n × t )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $5,500Compounded semi annually n = 2Time t = 15 yearsInterest rate r = 3.6%Accrued amount A = ?First,lets convert R as a percent to r as a decimal
r = R/100
r = 3.6/100
r = 0.036
Now, plug in the values
A = P( 1 + r/n )^( n × t )
A = $5,500( 1 + 0.036/2 )^( 2 × 15 )
A = $5,500(1 + 0.018)^(30)
A = $5,500(1.018)^(30)
A = $9,393
Therefore, the accrued amount is $9,393.
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About 7.5 gallons of water full up 1 cubic foot of space.how many gallons of water will fill a goldfish pool shaped like the prism shown
Answer:V=L times W times H*V=volume W=width H=heightand you don't actually have to write times you can do the symbol.
Example- if I had a rectangular prism of the width is 5 cubes, the length 8 cubes, and the height 7 cubes(following how many gallons are in a cube 7.5) I would then use my formula. V=LWH- 8 times 7= 56 56 times 5=280 280 times 7.5= 2100V=2100 (that is your answer reply If you didn't mean the volume or you don't get it)
hope it helps :)
Step-by-step explanation:
There are 28 apples in a basket the ratio to red to green is 3:1 how many apples are green and how many’s red
There are 21 green apples and 7 red apples
How to calculate the number of green and red apple?There are 28 apples in a basket
The ratio of red to green is 3:1
The first step is to calculate the total ratio, this can be achieved by adding the number of red to green apple
= 3+1
Total ratio= 4
The next step is to divide the total number of apples which is 28 by 4
= 28/4
= 7
The number of green apples can be calculated as follows
= 7 × 3
= 21
The number of red apples can be calculated as follows
= 7 × 1
= 7
Hence there are 21 green apples and 7 red apples
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Two types of coffee. P and Q. are blended in the ratio 3: 13 by weight to form a standard blend X. A second standard blend. Y. is formed by blending type P coffee. type Q coffee and type R coffee in the ratio 1: 7: 12 by weight. Calculate (a) the weight of each type of coffee in 800 g of X: (b) the weights of type P coffee and type R coffee in 800 g of Y: (c) the ratio of the three types of coffee in a third standard blend Z. formed by mixing equal weights of X and Y: (d) the weight of type P coffee in 800 g of Z.
If two types of coffee. P and Q. are blended in the ratio 3: 13 by weight to form a standard blend X. The weight of type P coffee in 800g of X is 3x = 150g, and the weight of type Q coffee is 13x = 650g.
How to find the weight of type P coffee?(a) Let the weight of P coffee in 3 parts of X be 3x, and the weight of Q coffee in 13 parts of X be 13x. Then, the total weight of X is 16x.
We know that the ratio of P to Q coffee in X is 3:13, so the total weight of P coffee in X is 3x, and the total weight of Q coffee in X is 13x. Therefore, the weight of each type of coffee in 800 g of X is:
P coffee = (3/16) * 800 g = 150 g
Q coffee = (13/16) * 800 g = 650 g
(b) Let the weight of P coffee in blend Y be x, the weight of Q coffee be 7x, and the weight of R coffee be 12x.
We know that the ratio of P to Q to R coffee in Y is 1:7:12, so the total weight of P coffee in Y is x, the total weight of Q coffee in Y is 7x, and the total weight of R coffee in Y is 12x. Therefore, the weights of type P coffee and type R coffee in 800 g of Y are:
P coffee = (1/20) * 800 g = 40 g
R coffee = (12/20) * 800 g = 480 g
(c) To form blend Z, we mix equal weights of X and Y. Therefore, the total weight of Z is 800 g + 800 g = 1600 g.
The weight of P coffee in Z is (150 g + 40 g)/2 = 95 g.
The weight of Q coffee in Z is (650 g + 7/20 * 800 g)/2 = 465 g.
The weight of R coffee in Z is (12/20 * 800 g + 480 g)/2 = 480 g.
Therefore, the ratio of P to Q to R coffee in blend Z is 95: 465: 480.
(d) The weight of P coffee in 800 g of Z is (19/324) * 800 g = 47 g.
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From question #1, What is the total cost for 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears?
The total cost for 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears is $11.32. The solution has been obtained by using linear equation.
What is a linear equation?
One is the linear equation's degree. In linear equations with exponents greater than 1, it is clear that there are no variables. A straight line is produced by the graph's equation.
We are given that the price of grapes, g, is $2.19 per pound. The price of bananas, b, is $0.59 per pound. The price of pears, p, is $1.49 per pound.
From this, we get an equation as
Total Cost = 2.19g + 0.59b + 1.49p
Now, the total cost for 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears will be
⇒Total Cost = 2.19(3) + 0.59(3) + 1.49(2)
⇒Total Cost = 6.57 + 1.77 + 2.98
⇒Total Cost = $11.32
Hence, the total cost for 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears is $11.32.
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Question: The price of grapes, g, is $2.19 per pound. The price of bananas, b, is $0.59 per pound. The price of pears, p, is $1.49 per pound.
What is the total cost for 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears?
Graph y = x^5 and y = x^6
Answer: (look at attached file)
Step-by-step explanation:
what are the zeros of the function f(x)=(x^2-13x+40)(x^2-2x+3)
Step-by-step explanation:
To find the zeros of the function f(x), we need to find the values of x that make f(x) equal to zero.
f(x) = (x^2 - 13x + 40)(x^2 - 2x + 3)
Setting f(x) equal to zero, we can use the zero product property to solve for x:
(x^2 - 13x + 40)(x^2 - 2x + 3) = 0
Either (x^2 - 13x + 40) = 0 or (x^2 - 2x + 3) = 0.
Solving for the first equation, we can use the quadratic formula:
x = [13 ± √(13^2 - 4(1)(40))] / 2(1)
x = [13 ± √(169 - 160)] / 2
x = [13 ± √9] / 2
So, the solutions for the first quadratic equation are x = 8 and x = 5.
Solving for the second equation, we can again use the quadratic formula:
x = [2 ± √(2^2 - 4(1)(3))] / 2(1)
x = [2 ± √4] / 2
So, the solutions for the second quadratic equation are x = 1 and x = 2.
Therefore, the zeros of the function f(x) are x = 8, x = 5, x = 1, and x = 2.
The radius r of a sphere is increasing at a rate of 6 inches per minute. (a) find the rate of change of the volume when r = 10 inches.
3. A regular pentagon is shown. What is tho area of the pentagen?
Answer:281.92 cm
Step-by-step explanation:
ok so we have a triangle and the area of a triangle is bh/2 so 12.8x8.81/2= 56.384 and since we have 5 of these 56.384x5=281.92Cm
Imagine the country is made up of 100 households. The federal government needs to collect $800,000 in income taxes to be able to function. The population consists of 6 groups: Group A: 20 households that earn $12,000 each Group B: 20 households that earn $29,000 each Group C: 20 households that earn $50,000 each Group D: 20 households that earn $79,000 each Group E: 15 households that earn $129,000 each Group F: 5 households that earn $295,000 each This scenario is roughly proportional to the actual United States population and tax needs. We are going to determine new income tax rates. The first proposal we’ll consider is a flat tax – one where every income group is taxed at the same percentage tax rate. 1) Determine the total income for the population (all 100 people together)
The total income for the 100 households in the country, where the federal government needs to collect $800,000 in income taxes, is $6,810,000.
How is the total income determined?The total number for the 100 households is computed using the mathematical operations of multiplication and addition.
Multiplication operation involves multiplying the number of households in each group by the income earned by the group.
Addition operation involves summing the groups' household total income.
The population of the imagined country = 100 households
The expected revenue in income taxes = $800,000
The number of groups in the population = 6
Group Number of Households Income Total Income
Group A 20 $12,000 $240,000 (20 x $12,000)
Group B 20 $29,000 $580,000 (20 x $29,000)
Group C 20 $50,000 $1,000,000 (20 x $50,000)
Group D 20 $79,000 $1,580,000 (20 x $79,000)
Group E 15 $129,000 $1,935,000 (15 x $129,000)
Group F 5 $295,000 $1,475,000 (5 x $295,000)
Total income = 100 $6,810,000
Thus, using mathematical operations, the total income for the 6 groups of 100 households in the country is $6,810,000.
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Least Common Denominator of 11/6 and 7/10
Answer:
30
Step-by-step explanation:
Simplify using the distributive property 7(n+2)
Answer:
7n + 14
Step-by-step explanation:
Multiply the number outside the parentheses by each quantity in the parentheses.
7(n + 2) = 7 × n + 7 × 2 = 7n + 14
Answer:
Step-by-step explanation:
distribute the 7 to the n.
then distribute the 7 to the 2.
=7n+14
name two fractions that are equivalent to 3/4
Answer:
6/8 and 12/16
Step-by-step explanation:
multiply both the denominator and numerator by the same number and you will get an equivalent fraction
Help with math problems
The scatter plot shows negative correlation because as the plotted value of x increases, the values of y generally decreases.
How to construct and plot the data in a scatter plot?In this scenario, the x-values would be plotted on the x-axis (x-coordinate) of the scatter plot while the y-values would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the line of best fit is given by
y = -0.441x + 6.085
In conclusion, we can reasonably infer and logically deduce that the scatter plot most likely indicates an inverse relationship between the x-values and y-values.
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Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.
The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.
Which statements are true about Initial Me and Monogram Mania?
Select each correct answer.
Based on the graph, it seems that choosing Company A may be the most popular option among residents.
What is a bar graph?
A bar graph, also called a bar chart, is a kind of data visualization that uses rectangular bars to represent data. Each bar's height or length corresponds to the value it stands for. Bar graphs are frequently used to compare and present various data sets or to demonstrate how data has changed over time.
The vertical axis (y-axis) in a conventional bar graph indicates the values or quantities being measured, while the horizontal axis (x-axis) represents the categories or variables being compared. Each bar in the graph represents a separate category or variable, and they are arranged along the x-axis. Each bar's height or length denotes the value or amount related to that category or variable.
Depending on the volume and complexity of the data being presented, bar graphs can be simple or complex. They can be applied to emphasize patterns or trends in the data, demonstrate changes over time, or compare data across several groups or categories. Among the many disciplines that employ bar graphs for data analysis are business, economics, social sciences, and natural sciences.
Based on the given graph, it appears that Patrick is responsible for choosing the company his local community will use for waste disposal. The graph shows the percentage of residents who prefer each of the four companies, labeled A, B, C, and D.
It seems that Company A is the most popular choice, with approximately 40% of residents preferring it. Company B is the second most popular choice, with approximately 30% of residents preferring it. Company C is the least popular choice, with only about 10% of residents preferring it. Company D falls in between Company B and Company C, with approximately 20% of residents preferring it.
Patrick's decision will ultimately depend on various factors, including the cost, reputation, and reliability of each company, as well as the specific needs and preferences of the community. However, based on the graph, it seems that choosing Company A may be the most popular option among residents.
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HELP
A spinner has 3 equal sections colored blue, orange, and red. Determine the sample space for spinning the spinner two times.
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Blue Red
Red Orange
Red Red
Orange Blue
Orange Red
Orange Orange
Orange Blue
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Red Blue
Red Orange
Orange Blue
Orange Red
Orange Orange
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Red Blue
Red Orange
Red Red
Orange Blue
Orange Red
Orange Orange
Spin 1 Spin 2
Blue Orange
Blue Red
Red Blue
Red Orange
Orange Blue
Orange Red
We can see that there are 9 possible outcomes for spinning the spinner two times.
By pairing each potential result for the first spin with each potential result for the second spin, we can list all the outcomes and establish the sample space for spinning the spinner twice. Since there are three possible results for each spin, spinning the spinner twice has a total of 3 x 3 = 9 outcomes.
Making a table that displays every scenario is one technique to list the sample space:
Spin 1 Spin 2
Blue Blue
Blue Orange
Blue Red
Red Blue
Red Orange
Red Red
Orange Blue
Orange Orange
Orange Red
Listing all the potential pairs of outcomes is another way to list the sample space:
Blue, Blue, Blue, Orange, Blue, Red, Red, Blue, Orange, Red, and Orange, Red; Blue, Blue, Blue, Orange, Blue, Red; and Orange, Blue, Orange, Orange, Red
In either case, we can see that spinning the spinner twice can result in 9 different results.
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A store owner purchases boxes of frames to sell in the store. The expression 15/+10
represents the total cost of f frames.
Which expression also represents the total cost of /frames?
A 5(3/+2)
B 5(3/+10)
C 5(10/+5)
D 5(10/+10)
DA
00
OD
Option A is correct, 5(3f+2) expression also represents the total cost of frames.
What is Expression?An expression is combination of variables, numbers and operators.
The expression 15f+10 represents the total cost of f frames.
We need to find the equivalent expression which represents the total cost of frames.
Equivalent expressions are expressions that work the same even though they look different.
Let us find the GCF of 15 and 10, which is 5 to factor out the expression.
5(3f+2)
Hence, 5(3f+2) expression also represents the total cost of frames.
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In rectangle ABCD, AC = 7x - 15 and BD = 2x + 25.
Find the lengths of the diagonals of ABCD.
HEEELLLPPP!!!
Whoever answers first gets brainliest!!!
The value of x is 4/3
What is the perimeter of a figure?The perimeter of a figure is the total sum of the length of all its external sides or boundary.
Given that the rectangle and triangle have the same perimeter, then;
perimeter of the rectangle = 2 (length + width)
= 2[(x + 3) + (x -2)}
= 2(x + 1)
= 2x + 2
perimeter of the triangle = (2x - 2) + (2x - 3) + (x + 3)
= 5x - 2
So that,
perimeter of rectangle = perimeter of triangle
2x + 2 = 5x - 2
2 + 2 = 5x - 2x
4 = 3x
x = 4/3
The value of x is 4/3.
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Help me
Im really really really struggling in math
Answer:
A, B, D
Step-by-step explanation:
for y = 3x + 2
for (#,#), the first number is x and the second number is y
A. if x = -2
y = 3(-2) + 2 = -6 + 2 = -4
which is corresponding to the number -4
so A is true
B. if x = -1
y = 3(-1) + 2 = -3 + 2 = -1
so B is true
C. If x = 3
y = 3(3) + 2 = 9 + 2 = 11
so C is false
D. if x = 2
y = 3(2) + 2 = 6 + 2 = 8
so D is true
Answer:
These are three possible solutions to the equation:
(0,2), (1,5), 2,8
The answer is D
Step-by-step explanation:
look at the pictures
the cost 2 apples and a banana is $2.80. Two apples and 2 bananas is $3.20 find the cost of buying an apple and a banana
Answer:
$1.60
Step-by-step explanation:
2a + b = 2.8
2a + 2b = 3.2
3.2 - 2.8 = 0.4
0.4 is one banana
2.8 - 0.4 = 2.4
2.4 = 2a
1.2 is one apple
1.2 + 0.4 = 1.6
Budgeting is a way to keep track of spending.
O False
O True
Answer:
True
Step-by-step explanation:
Having a budget keeps your spending in check and makes sure that your savings are on track for the future. Budgeting can help you set long-term financial goals, keep you from overspending, help shut down risky spending habits, and more.
On a recent fishing trip , Marty hooked a fish 12 feet directly under his boat . At the same time, he saw and eagle flying 50 feet above the boat. Which number sentence accurately compares these distances above and below the boat ?
Answer:
-12 +50
Step-by-step explanation:
Helping in the name of Jesus.
What is w, m, and n? please show your work and/or explain
Answer:
w = 102
m = 78
n = 58
Step-by-step explanation:
∠m is an exterior angle of the triangle on the left
exterior angle = sum of alternate interior angles
m° = 36° + 42°
m = 78
m and w are supplementary angles
m + w = 180
78 + w = 180
w = 180 - 78
w = 102
w is an exterior angle of the triangle on the right
w = n + 44
102 = n + 44
102-44 = n
n = 58