Answer:
A) x >(Greater-than-or-equal-to) 2236
Step-by-step explanation:
The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236) which is option a.
What is Inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
a ≠ b says that a is not equal to b
a < b says that a is less than b
a > b says that a is greater than b
(those two are known as strict inequality)
a ≤ b means that a is less than or equal to b
a ≥ b means that a is greater than or equal to b
According to question
Their savings are $2764
and they need $5000
so inequality is (2764 + x) ≥ 5000
On solving
2764 + x ≥ 5000
x ≥ 5000 - 2764
x ≥ 2236
Hence, The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236).
Learn more about Inequality:
https://brainly.com/question/20383699
#SPJ2
A game room had a floor that is 100 feet by 20 feet. A scale drawing of the on the grid paper used a scale of 4units:5 feet. What are the dimensions of the scale drawing?
Answer:
80 units by 16 units
Step-by-step explanation:
4 units : 5 feet
X units : 20 feet
Y units: 100 feet
X/20 = 4/5
X = 20 × 4/5
X = 16
Y/100 = 4/5
Y = 100 × 4/5
Y = 80
There are 43 students in a classroom with 5
tables. If 8 students can sit at a table, how
many students cannot sit down at tables?
5
Answer:
3
Step-by-step explanation:
8 x 5 = 40
43 - 40 = 3
The number of students who cannot sit at tables based on the given conditions in a classroom setting are 3.
The number of students who cannot sit at tables can be calculated as follows:
Number of students per table = 8
Total number of students = 43
Total number of students that can be accommodated by tables = 5 tables x 8 students = 40 students
Number of students who cannot sit at tables = Total number of students - Total number accommodated by tables = 43 - 40 = 3 students
Find 3 consecutive integers whose sum is 105.
Answer:
34 + 35 + 36 = 105
Step-by-step explanation:
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 105
3X + 3 = 105
3X + 3 - 3 = 105 - 3
3X = 102
3X/3 = 102/3
X = 34
Which means that the first number is 34, the second number is 34 + 1 and the third number is 34 + 2. Therefore, three consecutive integers that add up to 105 are 34, 35, and 36.
34 + 35 + 36 = 105
We know our answer is correct because 34 + 35 + 36 equals 105 as displayed above.
The date of death for a widow was 2019. If the estate was valued at $2,186,000 and the estate was taxed at 40 percent, what was the heir's tax liability? Use Exhibit 19-6 for Estate Exemption.
Answer:
Value of tax liability will be zero
Step-by-step explanation:
Given:
Total estate value = $2,186,000
Estate tax = 40 %
Find:
Heir's tax liability = ?
Computation:
Total taxable estate = Total estate value - Estate Exemption
Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption is 11.4 million.
We know that Estate Exemption is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.
Which expression is equivalent to 16a + 24b? (EE1.3)
4(4a + 20b)
8(2a + 3b)
4a(4 + 6b)
8ab(2 + 3)
Final answer:
The equivalent expression to 16a + 24b is 8(2a + 3b) by factoring out the greatest common factor of 8 from both terms.
Explanation:
The expression equivalent to 16a + 24b is 8(2a + 3b). To find this, we can factor out the greatest common factor from the terms in the original expression. Both 16a and 24b have a common factor of 8, which when factored out leaves us with 2a and 3b, respectively, yielding the expression 8(2a + 3b).
The cut wedge represents one-eighth of the cheese. A. Find the surface area of the cheese before it is cut in terms of π ,rounded to the nearest whole number, and as a decimal, round to the nearest tenth. The surface area of the cheese before it is cut is π , or about in.2 2 . B. Find the surface area of the remaining cheese after the wedge is removed. Round the estimated portion of the answer to the nearest whole number. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same? Response - correct The surface area decreased.
Answer:
A. The surface area of the cheese is 24·π in.² or 75.40 in.²
B. The surface area of the remaining cheese after the wedge is removed is about 72 in.²
2. The surface area decreased
Step-by-step explanation:
From the figure attached to a similar question, we have;
Radius, r of cheese = 3 in.
Height, h of the cheese = 1 in.
A. The surface area of the cheese is equal to the area of two circles, one on top and the other underneath added to the surface area of the sides which is equivalent to the surface area of a cylinder given by the relation
Surface area of the cheese = 2×π×r² + 2×π×r×h
∴ Surface area of the cheese = 2×π×3² + 2×π×3×1 = 24·π in.²
Surface area of the cheese = 24·π = 75.398 ≈ 75.40 in.² to the nearest 10th
B. The surface area of the remaining cheese after the wedge is removed is found by first subtracting the cut wedge from the total surface area as follow
Outer surface area of cut wedge = 24·π÷8 = 3·π
New outer surface area = Total surface area - Removed outer surface area
∴ New outer surface area = 24·π - 3·π = 21·π
New total surface area = New outer surface area + Area of newly exposed segment
Area of newly exposed segment = 3 × 1 × 2 = 6 in.²
∴ New total surface area = (21·π + 6) in.² = 71.9734 in.² ≈ 72 in.²
The surface area of the remaining cheese after the wedge is removed is about 72 in.²
2. The surface area decreased.
Answer:
A. The surface area of the cheese is 24·π in.² or 75.4 in.² B. The surface area of the remaining cheese after the wedge is removed is about 72 in.² 2. The surface area decreased
Step-by-step explanation:
It's 75.4 instead of 75.40, thank me please.
The volume of a cube is 2727 cubic units. What is the length of one side of the cube?
3m2 units
379 units
27m2 units
27nº units
Answer:
Step-by-step explanation:
27m2 units
Simplify 12 1/3b + 6 2/3 - 10 2/3b
Answer:
1 2/3b + 6 2/3
Step-by-step explanation:
[tex]12\frac{1}{3}b+6\frac{2}{3}-10\frac{2}{3}b[/tex]
Combine like terms:
[tex]1\frac{2}{3}b+6\frac{2}{3}[/tex]
Since you cannot do any more combination or simplification, you are done. Hope this helps!
The simplified form of the given expression is (26-b)/3.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is [tex]12\frac{1}{3}b+6\frac{2}{3}-10\frac{2}{3}b[/tex].
Here, [tex]12\frac{1}{3}b-10\frac{2}{3}b+6\frac{2}{3}[/tex]
= (36+b)/3 - (30+2b)/3 +20/3
= (36-30+b-2b)/3 +20/3
= (6-b)/3+20/3
= (6-b+20)/3
= (26-b)/3
Therefore, the simplified form of the given expression is (26-b)/3.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
Before compairing the price of the different plans, fill in the blanks below for the per minute price, and then add the monthly fee and find the real per minute price.
Plan A - 250 anytime minutes for $30 per month
100min 250min 500min
30$ monthly fee ______ ______ ______
45 cent additional minutes ______ ______ ______
Price per minute ______ ______ ______
Answer:3
Step-by-step explanation:
Find the midpoint of the line segment with endpoints (6,1) and (4,-5)
Answer:
(5, -2)
Step-by-step explanation:
(6+4)/2 , (1-5)/×
10/2 , -4/2
5 , -2
Let R1 and R2 are the remainders when the polynomials x^3 + 2x^2 − 5ax − 7 and x^3 + ax^2 − 12x + 6 are divided by x + 1 and x − 2 respectively. If R1+R2 = 6, find the value of a.
Answer:
2.44
Step-by-step explanation:
Given: x³ + 2x² - 5ax - 7 and x³ + ax² - 12x + 6
Also, R1 + R2 = 6
in order to find the value of a:
Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6
Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).
Then,
R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6
R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10
Now,
R1 + R2 = 6
5a - 6 + 4a - 10 = 6
9a = 22
a=2.44
Therefore, Value of a is 2.44
A theatre sells two types of tickets to their plays; children’s tickets and adult tickets. For today’s performance they have sold a total of 1180tickets. Also, the have sold 80 more adult tickets than children’s tickets. How many adult tickets have they sold?
Answer:
630
Step-by-step explanation:
Let the number of adult tickets be a.
Let the number of children tickets be c.
For that day's performance, they have sold a total of 1180 tickets. That means that:
a + c = 1180 _____________ (1)
Also, they have sold 80 more adult tickets than children’s tickets.
This means that:
a = c + 80 ______________(2)
Putting (2) in (1):
c + 80 + c = 1180
2c + 80 = 1180
Collecting like terms:
2c = 1180 - 80
2c = 1100
c = 1100 / 2 = 550
From (2):
a = 550 + 80
a = 630
They sold 630 adult tickets.
Final answer:
The theatre has sold 630 adult tickets after solving a system of equations based on the given conditions of total tickets sold and the difference between adult and children's tickets.
Explanation:
The student is presented with a problem where a theatre sells two types of tickets: children's and adult's tickets. For a particular performance, a total of 1180 tickets were sold, and there are 80 more adult tickets sold than children's tickets. We can let 'x' represent the number of children's tickets sold, and thus 'x + 80' will represent the number of adult tickets sold. According to the information given:
x + (x + 80) = 1180
Solving for 'x' we get:
2x + 80 = 1180
2x = 1100
x = 550
Now, to find the number of adult tickets sold, we add 80 to the number of children's tickets.
x + 80 = 550 + 80
x + 80 = 630
Therefore, the theatre has sold 630 adult tickets.
NEED HELP ASAP IM ALREADY FAILING ‼️‼️‼️The table below shows the number of miles Alan biked over time. Alan biked at a constant speed. Find the rate of change.
Circletown's limits form a perfectly circular shape. It has a population of 20000 and a population density of 480 people per square kilometer.
What is Circletown's radius?
Answer:
r = 3.64 km
Step-by-step explanation:
Given the following information:
population of the town: 20000 people population density : 480 people per square kilometer=> The area of the town is:
= Total population / population density per square kilometer
[tex]A = \dfrac{20000}{480}[/tex]
[tex]A = 41.667\ km^2[/tex]
As we know, the formula used to find the area of a circle is:
A = π[tex]r^{2}[/tex]
In this situation, we already knew the area of the town
<=> A = π[tex]r^{2}[/tex] = 41.776
<=> [tex]r^{2}[/tex] = 41.776 / 3.14
<=> r = 3.64 km
So the radius of the town is 3.64 km
Answer:
3.64
Step-by-step explanation:
What is 8/15÷2/5?What so u think is the best answer for this problem??
Answer:
1 1/3
Step-by-step explanation:
Solve. Change the division sign into a multiplication, and flip the second fraction:
(8/15)/(2/5) = (8/15) x (5/2)
Multiply across:
(8 x 5)/(15 x 2) = (40)/(30)
Simplify. Divide common factors:
(40/30)/(10/10) = 4/3
4/3 or 1 1/3 is your answer.
~
Answer:
1⅓
Step-by-step explanation:
8/15 ÷ 2/5
8/15 × 5/2
(8×5)/(15×2)
4/3
1⅓
What is the 18th partial sum of this geometric series 200, 100, 50
Answer:
515
Step-by-step explanation:
6 people sharing 40 lbs of gold evenly. How many do they get? Then subtract 1 2/3 from the result of the problem above & simplify completely. Please help cause it's not accepting what I have
Answer: 6
Step-by-step explanation:
Given Data:
Number of people = 6
Amount of Gold to be shared = 40lbs
Subtract 2/3 from your answer.
Therefore
If six people are to share 40lbs of gold evenly
= 40lbs / 6
Divide through by 2
= 20lbs / 3
= 20lbs / 3 - 2/3
= 18/3
= 6
Each person would get approximately 6lbs of gold
Answer:
1. Each individual gets [tex]6\frac{2}{3}lb[/tex] of gold
2. After subtracting by [tex]1\frac{2}{3}[/tex] , the result is 5
Step-by-step explanation:
Given
Size of Gold = 40 lbs
Number of people = 6
Required
1. Proportion of each individual
2. Subtract [tex]1\frac{2}{3}[/tex] from each proportion
1. Proportion of each individual
To calculate how many each individuals get (in other words, the proportion of each individual), we simply divide the total size of gold by the number of people
Mathematically,
[tex]Proportion = \frac{Total}{People}[/tex]
[tex]Proportion = \frac{40}{6}[/tex]
Reduce fraction to lowest term by dividing numerator and denominator by 2
[tex]Proportion = \frac{20}{3}[/tex]
Convert to mixed fraction
[tex]Proportion = 6\frac{2}{3}[/tex]
Hence each individual gets [tex]6\frac{2}{3}lb[/tex] of gold
2. Subtract [tex]1\frac{2}{3}[/tex] from each proportion
This is represented by
[tex]6\frac{2}{3} - 1\frac{2}{3}[/tex]
Convert both fractions to improper fractions
= [tex]\frac{20}{3} - \frac{5}{3}[/tex]
Find LCM of both fractions
= [tex]\frac{20 - 5}{3}[/tex]
Subtract
= [tex]\frac{15}{3}[/tex]
= 5
Hence, after subtracting by [tex]1\frac{2}{3}[/tex] , the result is 5
A state park has a normally distributed daytime temperatures in the month of June. The mean temperature is 75 Fahrenheit and then standard deviation of 7. What is the probability the temperature is above 82F?
Answer:
0.16
Step-by-step explanation:
This probability is the area under the standard normal curve to the right of 82. Note that 82 is ONE standard deviation above the mean: 75 + 7 = 82.
According to the Empirical Rule, 68% of data lies within one standard deviation of the mean. In other words, 34% lies between the mean and one standard deviation above the mean. The remaining area under the standard normal curve is thus (100% - 68%), or 32%. Half of that is 16%.
The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.
Alternatively, use a calculator with built-in statistical functions. In this case the desired result is found by executing the following command:
normcdf(82, 10000, 75, 7). The desired result is 0.1587, or approximately 0.16.
WILL GIVE BRAINLIST PLZZZ HELPPP
Milton got a paperweight like the one shown below. He needs to fill it with sand to give it weight.
If a = 3 inches, what is the volume of the paperweight?
A.
54 cubic inches
B.
81 cubic inches
C.
108 cubic inches
D.
126 cubic inches
Answer:
B. 81 cubic inches
Step-by-step explanation:
Since this is an irregular 3 dimensional object, I will cut it into a 3 by 3 by 3 cube and a 6 by 3 by 3 rectangular prism.
Solving for the cube:
3*3*3=
9*3=
27 units or in this case inches³
Solving for the rectangular prism:
6*3*3=
18*3=
54 units or in this case inches³
To get the total volume, we need to add the cube and rectangular prism's volume together:
54+27=81 inches³
Our answer is B. 81 cubic inches.
The difference of the square of a number and 18 is equal to 3 times that number. Find
the positive solution.
Answer:
6.
Step-by-step explanation:
To solve this, you can set up an equation as such:
x²-18= 3x
Now, rearrange this to make it an equation in standard form:
x²-3x-18=0.
Simply turn this equation into factored form:
(x-6)(x+3)= 0.
The only positive solution here is x=6.
The problem is about a quadratic equation where a number's square, minus 18 equals 3 times the number. This equation is solved by factoring to get two potential solutions, -3 and 6. The positive solution is 6.
Explanation:The subject matter of this question is quadratic equations in Mathematics. We are to find a number where the difference between the square of the number and 18 is equal to 3 times the number.
We first turn this into a quadratic equation:x2 - 3x - 18 = 0. Then we solve using a technique such as factoring which results to (x - 6)(x + 3) = 0. Giving the solutions x = 6 and x = -3.
Since you asked for the positive solution, x = 6 is the correct answer.
Learn more about Quadratic Equations here:https://brainly.com/question/34196754
#SPJ3
A trapezoid has base lengths of 4 and 19 feet, with an area of 115 square feet.What is the height of the trapezoid? *
Your answer
Answer:
10 ft
Step-by-step explanation:
area of trapezoid = (B + b)h/2
where B and b are the lengths of the bases, and h is the height.
A = (B + b)h/2
115 = (19 + 4)h/2
230 = 23h
23h = 230
h = 10
Answer: 10 ft
The height of the trapezoid with base lengths of 4 and 19 feet and an area of 115 square feet is 10 feet.
What is a Trapezoid?A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.
[tex]\rm{ Area\ of\ trapezoid = \dfrac{1}{2} \times Height \times(Sum\ of\ parallel\ sides)[/tex]
The area of a trapezoid is given as half the product of the sum of the parallel sides and the height of the trapezoid.
The length of the parallel sides of the trapezoid is 4 and 19 feet, while the area of the trapezoid is 115 square feet. Therefore, the height of the trapezoid is,
115 ft² = 0.5 × (4 ft + 19 ft ) × height
115 ft² = 0.5 × 23 ft × height
height = (115 ft²)/ (0.5 × 23 ft)
height = 10 feet
Hence, the height of the trapezoid is 10 feet.
Learn more about Trapezoid:
https://brainly.com/question/8643562
#SPJ2
PLEASE PLEASE PLEASE HELP
LOTS OF POINTS
Find the area of the shaded segment of the circle.
Answer:
Around 55.9
Step-by-step explanation:
The first step is to find the area of segment of the circle. Since the segment is a 90 degree angle and a total circle is 360, it is a quarter of the area of a circle. Therefore, you can find its area with the formula [tex]\frac{1}{4}\pi r^2=49\pi[/tex]. Now, you can find the area of the triangle inside. Since all of the radii in a circle are the same length, the triangle has two sides of length 14. Using the triangle area formula, you get an area of 14*14/2=98 square centimeters. [tex]49\pi-98\approx 55.9[/tex] square centimeters. Hope this helps!
Mr. Valdez puts $10,000 in a retirement account and does not make any deposits or withdrawals. The table below shows the amount of money in the account after x years.
A 2-column table with 5 rows. The first column is labeled years with entries 0, 10, 20, 30, 40. The second column is labeled amount (dollar sign) with entries 10,000; 16,000; 27,000; 43,000; 70,000.
What values, rounded to the nearest hundredth, complete the exponential regression equation that models the data?
f(x) =
(
)x
Answer:
The answer on edge. is f(x) = 9,974.73 ( 1.05 )x
Step-by-step explanation
Your Welcome ツ
The value that complete the regression equation is f(x) = 9,974.73 ( 1.05)^x.
How to solve for the value
We have the exponential equation as
[tex]y=ab^{x}[/tex]
a is the initial rate
b is the rate
x is 0
y = 10000
When substituted the rate is given as
f(x) = 9,974.73 ( 1.05 )x
Read more on exponential equation here:
https://brainly.com/question/2456547
#SPJ2
Subtract: (x^2 + 6x - 8) - (-3x^2 + 2x - 9)
A. 4x^2 + 4x + 1
B. -2x^2 + 4x + 1
C. 4x^2 + 4x + 17
D. 4x^2 + 8x + 17
What is the length of segment GH?
On a coordinate plane, line G H has points (0, negative 3), (8, 1).
Answer:
4 sqrt(5)
8.94427191
Step-by-step explanation:
We want to find the length ( or distance) between the two points
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (8-0)^2 + (1 - -3)^2)
= sqrt( (8)^2 + (4^2)
= sqrt( 64+16)
sqrt( 80)
sqrt(16) sqrt(5)
4 sqrt(5)
8.94427191
Answer:
4sqrt(5)
Step-by-step explanation:
Length² = (-3-1)² + (0-8)²
Length² = 16 + 64
Length² = 80
Length = 4sqrt(5)
sqrt: square root
Fidelity Investments is selling a real estate income mutual fund for $10.94 per share. The fund charges a load of 2.5%. What is the offer price?
Answer:
Step-by-step explanation:
The fidelity investment mutual funds is $10.92 per share.
The fund charges 2.5%.
So, if 2.5% is charged,
Then, 2.5% of the share is
2.5% of $10.92 = 2.5 / 100 × $10.92
2.5% of $10.92 = $0.273
Then, total offer price is 0.273 + 10.92
Therefore, total offer is $11.193
Final answer:
The offer price of the real estate income mutual fund from Fidelity Investments is $11.2135 per share.
Explanation:
The offer price of the real estate income mutual fund from Fidelity Investments can be calculated by adding the load to the selling price per share. In this case, the load is 2.5% of $10.94 per share. To find the load amount, multiply 2.5% by $10.94, which is equal to $0.2735. Then, add the load amount to the selling price per share: $10.94 + $0.2735 = $11.2135.
What is the value of
Answer:
61°
Step-by-step explanation:
∠SPQ is a straight line, so it equals to 180°.
∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.
180° - 119° = 61°, so ∠QPR = 61°
Answer:
61 degrees
Step-by-step explanation:
Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.
Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.
(180-119)
Then we would just get the sum, which in this case, is 61 degrees.
How many different pairings (2 teams playing each other) are possible for the first round of the 64 teams in the NCAA Basketball Tournament?
(without seeding)
Select the best answer from the choices provided.
A. 2016
B. 32
C. 4096
D. 128
Answer:
A
Step-by-step explanation:
To calculate this, we shall be selecting 2 each from a total of 64
This is a combination question and our required answer is 64C2
Mathematically, if we are to select r from n items , the combination can be computed as follows;
nCr = n!/(n-r)!r!
Thus, we have 64C2 as ; 64!(64-2)!2! = 64!/62!2!
= (64 * 63 * 62!)/62!2! = (64 * 63)/2 = 32 * 63 = 2,016 pairings
Quita bought a jacket priced at $88. The sales tax rate on the jacket was 7.5%. How much was the sales tax in dollars and cents on this jacket?
Need help !!!
Answer:
i think the answer is 3.3
Step-by-step explanation:
Final answer:
Quita paid $6.60 in sales tax for an $88 jacket.
Explanation:
To calculate the sales tax Quita had to pay for her jacket, we need to follow a simple two-step process.
First, we will calculate the amount of tax by converting the percentage to a decimal and then multiplying it by the price of the jacket.
Since the tax rate is 7.5%, we convert this to a decimal which gives us 0.075.
Then, we multiply this decimal by the price of the jacket:
Amount of sales tax = price × rate of sales tax
$88.00 × 0.075 = $6.60
So, the sales tax on the jacket priced at $88 is $6.60.
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per
year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to
the nearest penny.)
- 10/1 151
Answer:
[tex]y=18(1.15)^x[/tex]
Step-by-step explanation:
The initial value of the poster =$18
Its value increases by 15% each year.
We can model this using the exponential growth function.
[tex]y(x)=y_0\cdot r^x $ where y_0$ is the initial value and r is the growth factor.[/tex]
Growth Factor, r=1+0.15=1.15
Therefore:
[tex]y(x)=18(1.15)^x[/tex]
After 1 year, when x=1
[tex]y(1)=18(1.15)^1=\$20.70[/tex]
This is true.
Therefore, the model is valid and its value, y after x years will be:
[tex]y=18(1.15)^x[/tex]
Answer:
it is A
Step-by-step explanation:
JUST GOT 100% 0N MY QUIZ