Answer:
Bill Gates is 5'10"
David and Jillian are playing a board game together. Jillian wants to trade her wool cards for David's ore cards. The double number line shows that David will trade 3 more cards to Jillian for 6 wool cards. Based on the ratio shown in the double number line, how many wool cards does Jillian need to trade for 4 more cards?
10z^2 -2z-2
10z
2
−2z−2
Two solutions were found :
z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i
z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i
Step-by-step explanation:
On opening night of the play "The Music Man" at the Lewiston Civic Theater, 946 tickets were sold. The total receipts for the performance was $10,588. Children tickets cost $10 apiece, adult tickets cost $14 aplece, and senior citizen tickets
cost $6 apiece. If the combined number of children and adult tickets exceeded twice the number of senior citizen tickets by 334, determine how many tickets of each typo were sold.
There were children tickets, adult tickets, and senior citizen tickets sold.
Answer:
The number of tickets sold are
Children = 256
Adults = 486
senior citizen = 204
Step-by-step explanation:
let
x = children ticket = $10 per piece
y = adult ticket = $14 per piece
z = senior citizen = $6 per piece
x + y + z = 946 ( total tickets sold ) ---------- ( 1 )
Total receipt for performance
10x + 14y + 6z = $10588 --------------- ( 2 )
since the combined number of children and Adult tickets exceeded twice the number of senior citizen tickets by 334
x + y - 2z = 334 --------- ( 3 )
substract equation 3 from equation 1
3z = ( 946 - 334 ) = 612 therefore Z = 204
next we multiply equation (1) by 14
14x + 14y + 14z = 13244 ---------- ( 4 )
substract equation (2) from ( 4 )
4x + 8z = 2656
= 4x + 8(204) = 2656
= 4x = 2656 - 1632
therefore : x = 256
back to equation 1
256 + y + 204 = 946
y = 946 - ( 256 + 204 ) = 486
Hence the number of tickets sold are
Children = 256
Adults = 486
senior citizen = 204
simplify (1.2a-0.1b)^2-2ab
Answer:
2.3 I think okay wrong or right
Which expression is equivalent to (4 + 6i)2? –20 + 48i 8 + 12i 16 – 36i 20 + 48i
========================================
Work Shown:
x = (4+6i)^2
x = (4+6i)(4+6i)
x = y(4+6i) ...... let y = 4+6i
x = 4(y)+6i(y) ..... distribute
x = 4(4+6i)+6i(4+6i) .... plug in y = 4+6i
x = 16+24i+24i+36i^2 ..... distribute again
x = 16+24i+24i+36(-1) .... use the fact that i^2 = -1
x = 16+24i+24i-36
x = 16-36+24i+24i
x = -20+48i
Answer:
A -20+28i
Step-by-step explanation:
What is the most efficient first step to isolate the variable term on one side of this equation?
-9x = 4x + 5
O Subtract 5 from both sides.
O Add 5 to both sides.
X Subtract 9x from both sides.
O Add 4x to both sides.
Done
Intro
Answer: Add 4x to both sides.
Step-by-step explanation:
30 POINTS please help I really need help :(((((((
During photosynthesis, plants take in carbon dioxide causing its concentration in the atmosphere to ___________.
a) increase
b) decrease
If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.
Group of answer choices
True
False
Answer:
A
False
Step-by-step explanation:
Answer:
1) increase
explanation: In most plants, the uptake of CO2 through photosynthesis is reduced by a side reaction called photorespiration. The research group has now found that the CO2 increase in the atmosphere over the 20th century has shifted the balance between photosynthesis and photorespiration toward photosynthesis.
2) think its false
what is the solution to this addition problem? 1/5 + 1/6
Answer:
11/30 or 0.36
Step-by-step explanation:
Answer:
11/30
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(1/5, 1/6) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(1/5×6/6)+(1/6×5/5)=?
Complete the multiplication and the equation becomes
630+530=?
The two fractions now have like denominators so you can add the numerators.
6+5/30=11/30
The fraction cannot be simplified, final answer 11/30
what is 2 2/3 4/5 and why?
Answer:
52 / 15 =3 7/15 ≈3.467
Step by step
2 2/3+4/5 =52/15 then you simplify 52/15 = 3 7/15
If m∠A = 76° and m∠B = 50°, Find m∠ACD.
Answer:
54
Step-by-step explanation:
the sum of all angles of a triangle must equal 180.
180 - 76 - 50 = 54
Answer:
54
the sum of all angles of a triangle must equal 180.
180 - 76 - 50 = 54
In the figure below, lines w and z are parallel. What is the value of x
Answer:
U should do like this...
The quotient of 5÷6/8 is greater than, less than, or equal to the quotient of 4÷3/8
Answer:
5/ 6/8 < 4/ 3/8, is less than
Step-by-step explanation:
6/8=.75
5/.75=6.6
3/8=.38
4/.38=10.5
A set of tyres normally costs £500
In a sale there is a 30% discount.
Work out the sale price of the set of tyres.
Answer:
the tires cost 350 with the discount
Step-by-step explanation:
Find the length of the leg x Enter the exact value, not a decimal approximation
Answer:
[tex] x = \sqrt{189} [/tex]
Step-by-step explanation:
Use pythagorean theorem to solve for x.
Thus:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 6
b = x = ?
c = 15
Plug in the values into the equation
[tex] 6^2 + x^2 = 15^2 [/tex]
[tex] 36 + x^2 = 225 [/tex]
Subtract 36 from each side
[tex] x^2 = 225 - 36 [/tex]
[tex] x^2 = 189 [/tex]
Take the square root of both sides
[tex] x = \sqrt{189} [/tex]
A husband works for 6 straight days and then has a day off. His wife works for 5 straight days and then has a day off. If the husband and wife are both off from work on the same day, in how many days will they both be off from work again?
Answer:
6?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The sum of twelve and four times a number is 36. What is the number?
Answer:
8
Step-by-step explanation:
12 +4x = 36
Then solve the linear eqn
Factor the following expression: -9y - 3
Answer:
-3(3y+1)
Step-by-step explanation:
sorry if wrong
The problem has been started for you.
9 StartLongDivisionSymbol 780 EndLongDivisionSymbol minus 72 = 60. 60 minus 54 = a remainder of 6 and a quotient of 86.blank.
What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87
Answer:
its to find the quotient, start by dividing 25 into 1658
Step-by-step explanation:
for the following question its 66.32 and 66 8/25 (hope this helps bud)
Answer:
C. 86.^6
Step-by-step explanation: That the answer or whateva
roy wants to buy a new television for $300.
Answer:
Thats it?
Step-by-step explanation:
Answer:
No answer...
Step-by-step explanation:
Ok so roy has 300$ and nothing else?
Tonya wraps 2 presents in 3 minutes. At this rate, how many presents with Tonya wrap in 15 minutes?
Answer:
10! because 3 to get 15 is 5 and 2×5 is 10
Answer:
10 presents
Step-by-step explanation:
3 x 5 = 15, and 2 x 5 =10
You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How much of the 70% mixture will you need to add to obtain the desired solution?
175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If v is the amount of the 70% solution that you use, then that amount contains 0.7v mL of alcohol.
Mixing these two yields a total volume of 175 mL + v, and it contains 43.75 mL + 0.7v alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7v) / (175 mL + v) = 0.45
Solve for v :
43.75 mL + 0.7v = 0.45 (175 mL + v)
43.75 mL + 0.7v = 78.75 mL + 0.45v
0.25v = 35 mL
v = 140 mL
There is an error in the diagram. Choose the statement that best describes what is wrong.
A. The exterior angle of a triangle cannot be obtuse.
B. The exterior angle of a triangle must be greater than each remote interior angle.
C. The exterior angle of a triangle must be greater than all of the interior angles of the triangle.
D. The exterior angle of a triangle must be equal to a remote interior angle of the triangle.
Answer:
the first one is right and other are wrong
A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy. Jina wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is caramel and the second candy is taffy? Do not round your intermediate computations. Round your final answer to three decimal places.
11/18 = 0.61111111 (continuing)
3/18 = 0.166666 (continuing)
4/18 = 0.222222(continuing)
caramel = 0.2222222 x taffy = 0.6111111111
probability = 0.1358024691358, 0.136.
13.6%
The probability that the first candy selected is caramel and the second candy is taffy is 0.175
What is probability?Probablity is the likelihood or chance that an event will occur.
Probability = expected/total
If a box has 18 candies in it, the total outcome will be 18
If the probability that the first candy selected is caramel is 4/18
If the probability that the second candy selected is randy is 11/18
Pr(caramel and randy) = 4/18 * 11/18
Pr(caramel and randy) = 2/9* 11/18
Pr(caramel and randy) = 11/63
Hence the probability that the first candy selected is caramel and the second candy is taffy is 0.175
Learn more on probability here: https://brainly.com/question/25870256
#SPJ2
a. Definite integral can be used to calculate percentage rate of change of the function
b. Lorenz curves are special curves used to capture demand elasticity
c. Integration by parts formula is the fundamental formula used to conduct marginal analysis
d. Definite integral can be used to calculate area under a curve in a given interval
Answer:
d. Definite integral can be used to calculate area under a curve in a given interval
General Formulas and Concepts:
Calculus
Integration
IntegralsArea of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
We know that by definition, an integral is an antiderivative.
Also by definition, an integral is also the area under the curve. This can be extended to area between 2 curves.
We have a formula specifically to find an area under a curve (region), as listed above.
∴ our answer is D.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
nicky bought 3 bags of flamin hot cheetos for a certain amount of money and a can soda for $1.50. all together he paid $5.25. How much did each bag of hot cheetos cost?
Answer:
each bag of hot cheetos cost $1.25
PLEASE HELP
Which equation represents a function that is nonlinear?
y = 5x
y = 37
y = x*2 - 25
y = 2/3x + 67
1,500 divided by 8 step by step
Answer:
1500 divided by 8 = 187.5
Step-by-step explanation:
1,500 divided by 8 is equal to 187, with the remainder of 4.
To divide 1,500 by 8 step by step, we can follow the long division method.
We start by dividing the first digit of the dividend (1) by the divisor (8). Since 1 is smaller than 8, we move to the next digit of the dividend.
We bring down the next digit of the dividend (5) and divide 15 by 8. The quotient is 1, and the remainder is 7.
8 ) 1,500 ( 187R4
- 8
_____
70
- 64
_____
60
- 56
_____
4
Quotient = 187
Remainder = 4
Therefore, 1,500 divided by 8 is equal to 187, with the remainder of 4.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ6
A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60m away from the flagpole, and the top of the building line up. If the flagpole is 35m tall, and Marquis is 170m from the building, how tall is the building?
Answer:
99.166666666666666666666; 595/6; 99 1/6; 99
Step-by-step explanation:
THE FORMULA IS (x)/(170)=(35)/(60)
solve for x
copy the formula in bold and paste it to math w]y:
(x)/(170)=(35)/(60)
choose the option to solve for x and 99.666666666666∞ is the answer.
Write an equation in slope intercept form for a line with a slope of 4 and a y-intercept of (0,-3)
Answer:
y = 4x - 3
General Formulas and Concepts:
Algebra
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 4
y-intercept b = -3
Step 2: Write linear function
y = 4x - 3
ane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following:
The amount of the finance charge?
The amount of the finance charge rebate if the loan were to be paid after the 10th payment?
Answer:
Jane must pay $ 5,947.2 over 12 months. Of that amount, $ 637.2 will correspond to interest generated by the loan, which will be paid in 12 installments of $ 495.6.
Step-by-step explanation:
Jane Windsor acquired a ski boat for $ 5,900, paying a down payment of 10% and financing the remainder of the price at an annual interest rate of 12%.
Thus, since 5,900 x 0.1 is equal to 590, the financed amount arises from the subtraction between 5,900 minus 590, which yields a financed amount of $ 5,310.
Therefore, the amount to be paid monthly arises from the following calculation:
5,310 x 1.12 = Amount with interest
5,947.2 = Amount with interest
5,947.2 - 5,310 = Interest
637.2 = Interest
5,947.2 / 12 = Monthly payments
495.6 = Monthly payments
Therefore, Jane must pay $ 5,947.2 over 12 months. Of that amount, $ 637.2 will correspond to interest generated by the loan, which will be paid in 12 installments of $ 495.6.