Answer:
X= 1984
Step-by-step explanation:
f(x) = 2000(X – 1980) + 10,000
Where,
f(x)= per capita income
x= year
Find x when f(x)= $18,000
f(x) = 2000(X – 1980) + 10,000
18,000 = 2000(X - 1980) + 10,000
18,000 = 2000X - 3,960,000 + 10,000
18,000 = 2000X - 3,950,000
Add 3,950,000 to both sides
18,000 + 3,950,000 = 2000X
3,968,000 = 2000X
Divide both sides by 2000
X= 3,968,000 / 2000
= 1984
X= 1984
Therefore, the per capita income was $18,000 in the year 1984
The cost of a ticket to a soccer game is $6. There are y people in a group who want to go to the game.
Which of the following expressions describes the total amount of money the group will need to go to the soccer game?
6−y
6y
y + 6
(6)(6)
Answer:
6y
Step-by-step explanation:
uhhhh
Solve the equation. Then check your solution.
4-(3a + 4) = 7
a. -7.4
b. -6
C.
3
d. -3
Answer:
a = -7/3
Step-by-step explanation:
4 - (3a + 4) = 7
4 - 3a - 4 = 7
-3a = 7
a = -7/3
12. The cost of a scooter is 5685 more than the cost of a T.V. If the cost of the TV is 22643, find the total cost of scooter and T.V.
Answer:
bro u just add them together
Step-by-step explanation:
5685+22643=28,328
The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. What are the two
numbers?
A. 12 and 4
В.15 and 7
C. 20 and 12
D. 23 and 15
How much time has passed from the first clock to the second clock?
Point O is on line segment NP. Given NP = 3x, NO = 2x, and OP = 8,
determine the numerical length of NO.
Answer:
[tex]NO = 16\ units[/tex]
Step-by-step explanation:
Given
[tex]NP = 3x[/tex]
[tex]NO = 2x[/tex]
[tex]OP = 8[/tex]
Required
Determine NO
Since O is a segment on NP, we have that
[tex]NP = NO + OP[/tex]
Substitute values for these parameters
[tex]3x = 2x + 8[/tex]
Collect Like Terms
[tex]3x - 2x = 8[/tex]
[tex]x = 8[/tex]
Substitute 8 for x in [tex]NO = 2x[/tex]
[tex]NO = 2 * 8[/tex]
[tex]NO = 16\ units[/tex]
Find the product.
(4x - 3y) (2x + y)
Answer:
8x^2 - 2xy + 3y^2
Step-by-step explanation:
Use the FOIL method
8x^2 + 4xy - 6xy + 3y^2
8x^2 - 2xy + 3y^2
Write and solve the equation that represents the sentence below. The product of 18 and a number is 109.8. Which statements are correct? Check all that apply. It can be solved by using the division property of equality. It can be solved by using the multiplication property of equality. The equation should be StartFraction x Over 18 EndFraction = 109.8.
Answer:
a
Step-by-step explanation:
Answer:
a to a
Step-by-step explanation:
2. Which of the following correctly compares the two parts of the function in
Item 1, over the intervals [0, 7] and [8, 11]?
A)Benito made an extra $25 after selling 7 shirts.
B)Benito spent $1 after selling 50 shirts.
C)The price of one shirt increases from $10 to $15.
D)Benito's profit per shirt increases from $10 to $15.
Answer:did you get the answer to this yet ?
Step-by-step explanation:
Oab.......................
Answer:
ok....…....…...…..…..……..…
Step-by-step explanation:
Answer:
Bsjxjxoa
Step-by-step explanation:
Jskzjakd, own, ks
h/15 = 10 What does h equal??
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{h = 150}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{h}{15} = 10}[/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{h = 10 \times 15 }}[/tex]
Multiply the numbers : 10 and 15
[tex] \dashrightarrow{ \sf{h = 150}}[/tex]
Hope I helped!
Best regards! :D
help me solve 4x - 3 < 7
Answer:
x< 2 1/2Step-by-step explanation:
[tex]4x - 3 < 7[/tex]
Add 3 to both sides of the equation
[tex]4x - 3 + 3 < 7 + 3 \\ 4x < 7 + 3 \\ 4x < 10[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} < \frac{10}{4} [/tex]
Simplify
[tex]x < \frac{5}{2} [/tex]
The solution to the inequality is x < 5/2.
What is an inequality?In Mathematics and Geometry, an inequality is a relation that compares two (2) or more numerical data, number, and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than or equal to (≤).Less than (<).Greater than or equal to (≥).In this scenario and exercise, we would determine the solution set to the given inequality for x in parts as follows;
4x - 3 < 7
By adding 3 to both sides of the inequality, we have:
4x - 3 + 3 < 7 + 3
4x < 10
x < 10/4
x < 5/2.
Read more on inequality here: brainly.com/question/30665021
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Which one of these numbers is not like the others? 21, 15, 6, 16, 27
Answer:
15
Step-by-step explanation:
Find the prime number. 15 is a prime, and the others aren't.
15 is a prime number the other ones aren't
Find the distance between the points C(−6, 5)
and D(−3, 1)
.
Answer: Distance = 5
Solve the equation for x.
(2x + 8) = –16
A)
-18
B)
-24
D
-28
D)
-36
Answer:
X = -12
Step-by-step explanation:
2x + 8 = - 16
2x = - 24
x = - 12
Why should we care about gender inequality? HELP HELP HELLLPPP!!!
Answer:
Because we're not awful human beings, its not fair for men to be better than women
Step-by-step explanation:
What fraction is equivalent to the repeating decimal number 1.5?
The diameter of a circular tray is 28cm. Find the area of the tray. Take[Pi=22/7]
Answer:
616 cm²
Step-by-step explanation:
Area of circle:
A = πr² = 1/4πd²Since d = 28 cm and π = 22/7, the area is:
1/4*22/7*28² = 616 cm²how do you solve these 2 task cards?
Answer:
DECIMAL TASK #30
$81.15
Step-by-step explanation:
12.95 x 2 = 25.9
or
12.95 + 12.95 = 25.9
and then
9.75 x 3 = 29.25
or
9.75 + 9.75 + 9.75 = 29.25
and then
the 26 from the popcorn and drinks
25.9 + 29.25 + 26 = 81.15
Can anybody answer this for range?
Answer:
The answer is (2, 4)
Step-by-step explanation:
I hope this helps!
what is the value of m?
Answer:
4) M=5
Step-by-step explanation:
When multiplying exponents, you add them. When raising an exponent to another power, you multiply them.
(x^5*x²)³=(x^7)³=x^21
CAN SOMEONE PLS HELP ME ON THIS ONE.....
Answer:
Years 3-4 and the percentage change was by 8%. Please vote Brainliest!
Step-by-step explanation:
Answer:
C the greatest growth was between 3 and 4 and about 8%
Step-by-step explanation:
The two parallelograms in the graph below are similar. Which sequence of transformations proves that the parallelograms are similar? A rotation 270° clockwise about the origin followed by a dilation with scale factor 5 A rotation 270° clockwise about the origin followed by a dilation with scale factor A rotation 90° clockwise about the origin followed by a dilation with scale factor A rotation 180° clockwise about the origin followed by a dilation with scale factor 5
Answer:
A rotation 90 degrees clockwise about the origin followed by a dilation with scale factor A
Step-by-step explanation:
The rotation is going clockwise, so that already eliminates the first, second, and third answer, leaving answer C
Find the distance between these points. round to the nearest hundreth. Points:(-8,-2) and (6,-1)
distance formula
sq root of (x2−x1)^2+(y2−y1)^2
sq root of (6−(−8))^2+((−1)−(−2))^2
simplify, its easier than it looks
sq root of 197
14.03566884
round to nearest hundreth
14.04
Which expressions below equal a rational number? Select all that apply
Answer:
2/3 + 4/5
√3 - √3 ( = 0)
√49 - √1
Step-by-step explanation:
Expressions representing a rational numbers are B , D and E
What are rational numbers?A number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
What are irrational numbers?Irrational number, any real number that cannot be expressed as the quotient of two integers.
How to find which expressions given equal a rational number?Firstly, we know that π is an irrational number .
So π x √4 = 2π
2π is an irrational number and so option A cannot represent a rational number.
2/3 + 4/3 = 6/3 = 2
Since 2 is a rational number, we can say option b represents a rational number[tex]\sqrt{36} + \sqrt{5}[/tex]
= 6 + [tex]\sqrt{5}[/tex]
We, know that [tex]\sqrt{5}[/tex] is an irrational number , So option C cannot represent a rational number.[tex]\sqrt{3} - \sqrt{3} = 0[/tex]
0 is a rational numberSo, option D represents a rational number.
[tex](\sqrt{49} )(\sqrt{1} ) \\= 7[/tex]
7 is a rational number and so option E represents a rational number.Find more about "Rational Numbers " here: https://brainly.com/question/1535013
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Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a prize. Determine the number of ways that the prizes can be distributed if all 3 prizes are a $10 gift card.
Answer:
the number of ways in which the prizes are allocated is 67,525
Step-by-step explanation:
Given that
Number of customers = 75
Number of prizes = 3
And, the value of gift card = $10
Based on the above information,
The number of ways in which the prizes are allocated is shown below:
[tex]=^{75} C_3[/tex]
= [tex]\frac{75!}{(3!\times(75-3)!}[/tex]
After solving this the number of ways that came is 67,525
hence, the number of ways in which the prizes are allocated is 67,525
Please answer question 17 a and b.Please ASAP I'll mark as brainliest the answer that explained well and step by step .THANKS pleaseeeee hurry
Consider the function f(x) = x2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = StartRoot x minus 331 EndRoot . Which statement describes whether Chivonne is correct? The expression for f–1(x) is correct, but the domain restriction is not. The domain restriction is correct, but the expression for f–1(x) is not. Both the expression for f–1(x) and the domain restriction are correct. Neither the domain restriction nor the expression for f–1(x) is correct.
Answer:
The correct option is;
The domain restriction is correct but the expression for f⁻¹(x) is not
Step-by-step explanation:
The expression for the function is given as follows;
f(x) = x² - 331
The inverse function suggested = f⁻¹(x) = √(x-331)
The domain restriction is x ≥ 0
The inverse function if given as follows;
y = x² - 331 (Interchange x and y to get)
x = y² - 331
x + 331 = y²
y = ±√(x + 331)
Given that the domain restriction has been put as x ≥ 0, we select the + case to give;
f⁻¹(x) = √(x + 331)
Therefore, the domain restriction is correct but the expression for f⁻¹(x) is not.
Answer: B
The domain restriction is correct, but the expression for f–1(x) is not.
Step-by-step explanation:
The diagonal of a square is 10m long. What is the length of the side of the square?(Give your answer to the nearest cm)
Answer: 7 cm
Step-by-step explanation: The formula for this type of question is; √2×d÷2 where d stands for the diagonal so, √2×10÷2 = 7.071067812, to the nearest cm is 7cm.
Answer:
7 cm
Step-by-step explanation:
The diagonal divides the square into 2 right triangles.
Using Pythagoras' identity with the diagonal as the hypotenuse.
let x be the side of the square, then
x² + x² = 10²
2x² = 100 ( divide both sides by 2 )
x² = 50 ( take the square root of both sides )
x = [tex]\sqrt{50}[/tex] ≈ 7 cm ( to the nearest cm )
PLEASE HELP ME!!. The local store where Tim shops charges 7% sales tax for clothing. Complete the table by figuring the cost of jeans after sales tax is applied. The first row has been done for you
Step-by-step explanation:
for 1 jeans
7% tax=7/100×25.68
=1.7976
So 1.7976$ is charged on one jeans.
7% tax for 2 jeans =2×1.7976
=3.5952$
Total price=3.5952+25.68
=29.2752
7% tax for 3 jeans=3×1.7976
=5.3928
Total price=5.3928+25.68
=31.0728
Hope this answer will help you
Answer:
$51.36
$77.04
Step-by-step explanation:
Multiply the cost of the number of pairs of jeans by the sales tax amount, 7%.
cost of 2 pairs: 48 + 7/100 x 48 = $51.36
cost of 3 pairs: 72 + 7/100 x 72 = $77.04