Answer:
tan−1(10/0.8)
Step-by-step explanation:
Two families went to Rollercoaster World. The Garcia family paid $170 for 3 children and 2 adults. The McGruder family paid $360 for 4 children and 6 adults.
If x is the price of a child’s ticket in dollars and y is the price of an adult’s ticket in dollars, write a system of equations the models this situation.
Answer:
3x +2y =170 ---equation 1
4x +6y =360 ---equation 2
Price of child 's ticket =$30
price of an adult’s ticket =$40
Step-by-step explanation:
Let x represent the price of a child’s ticket in dollars
and y represent the price of an adult’s ticket in dollars
Such that
3 children and 2 adults for the cost of $170 be represented as
3x +2y =170 ---equation 1
4 children and 6 adults for the cost of $360 be represented as
4x +6y =360 ---equation 2
3x +2y =170 ---equation 1
4x +6y =360 ---equation 2
bY Elimination method Multiplying equation 1 by 4 and equation 2 by 3
12x+8y =680---equation 3
12x +18y =1080---equation 4
Subtracting equation 3 from 4
10 y=400
y =400/10
y=40
Puting the value of y=40 in equation 1 to foind x
3x +2y =170
3x+2 x 40= 170
3x+80 =170
3x=170-80
3x=90
x=90/3=30
Price of child 's ticket =$30
price of an adult’s ticket =$40
2 points
7) My savings account increases in value by 4% every year. I started with
$10,000. Which of the following equations can be used to represent the
value of my account over time. *
f(x) = 10000(0.04)^x
f(x) = 10000(1 -0.04)^x
Of(x) = 10000(1.04)^x
O f(x) = 10000(0.96)*x
Answer: 10000(1.04)^x
Step-by-step explanation: every year your interest increases 4%
And you get multiplier 1.04. After first year you have 10400 and next year you multiply it by 1.04 again.
Complete the equation of the line through (-10.-7) and (5.9).
15 POINTS PLEASE
Answer:
y=16/15x-11/3
Step-by-step explanation:
(9--7)/(5--10)
slope = 16/15
y=16/15(x)+b
-9=(16/15)(-5)+b
b=-11/3
PLEASE HELP MATH URGENT!!!! THX
Answer:
80
Step-by-step explanation:
Matthew and Lizbeth are college students. Matthew has $87 in his bank account. He spends $45 on groceries. He deposits $30 into his account. Then he spends $112 on books for school. Lizbeth has $41 in her bank account. She deposits $50 into her account. Lizbeth says that if she spends $130 on books she will have a greater debt than Matthew. Show are explain why Lizbeth's thinking is correct or incorrect. Enter your work or explanation in the box provided.
Answer:
$365
Step-by-step explanation:
did the math
Omar deposited $4000 into an account with 3.3% interest, compounded semiannually. Assuming that no withdrawals are made, how much will he have in the account after 5 years? Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
4711.22
Step-by-step explanation:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=4000(1+\frac{0.033}{2}) ^{2*5}\\\\A=4711.22[/tex]
True or False: Cold air is more dense than warm air, causing it to sink and hover near the ground.
Group of answer choices
False
True
Answer:
True! :)
Step-by-step explanation:
Jane takes a survey of 100 random students to determine what color of eyes they have. The results are shown in the chart.
Based on the outcome of the survey, enter the number of students expected to have green eyes if there are 20 students in her class.
Answer: 3 students
Step-by-step explanation:
15% of 20
Answer:
i don't what it is but i'm going to work it out and give you the answerStep-by-step explanation
The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?
Answer:
length=4 1/4
Step-by-step explanation:
1 3/4 + 2 1/2convert 2 1/2 into 2/4 since 2 is half of 4 add the converted number and 1 3/4 fractions2/4 and 3/4 added will make 1 1/4add 1 1/4, 2 and 1 and it will equal 4 1/4A rectangle has an area of 54 square inches and a length of 6 in what is the width in inches of the rectangle?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Areas and Volumes.
We know that, Area of a Rectangle = length * Width.
Since,here Length = 6 inch and Area = 54 square inches,
==> Width = Area / length
==> Width = 54/6
=> Width = 9 inches.
Hence the width of the rectangle is 9 inches.
Find the slope of a line that passes through the points (8, 7) and (-8,
-1).
Answer:
m = 1/2
Step-by-step explanation:
Can anyone help me I will really appreciate it.
Answer:
-9 = Yes
8 = Yes
-8 = Yes
9 = No
( 3 + 1/2/) x 14= Thanks for the assistance......
Answer:
49
Step-by-step explanation:
3+1/2= 3.5
3.5 x 14= 49
hope I helped. :)
the bill comes out to 65.35 an the sales tax is 7.7% what is the total amount of the bill
Answer:
$70.38
Step-by-step explanation:
7.7% = 0.077
Since you are adding 7.7 percent to $65.35, you add a 1 to the decimal form of 7.7%, then multiply.
65.35 x 1.077 = 70.38
Answer:
The bill will come out to be $73.80
Step-by-step explanation:
Take the bill and divide it by the tax and you'll get 8.4
Add 8.4 to 65.35 and you'll get 73.80
Find the sample size required to achieve the given margin of error with SD = 51.02 and z - score = 1.96. Round your answer to the nearest whole number. margin of error = 2
Answer:
The sample size required is 2500.
Step-by-step explanation:
z-score:
In function of the margin of error M, the z-score is given by:
[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}} = \frac{M\sqrt{n}}{\sigma}[/tex]
In this question, we have that:
[tex]\sigma = 51.02, M = 2, Z = 1.96[/tex]
So
[tex]Z = \frac{M\sqrt{n}}{\sigma}[/tex]
[tex]1.96 = \frac{2\sqrt{n}}{51.02}[/tex]
[tex]2\sqrt{n} = 51.02*1.96[/tex]
[tex]\sqrt{n} = \frac{51.02*1.96}{2}[/tex]
[tex](\sqrt{n})^2 = (\frac{51.02*1.96}{2})^2[/tex]
[tex]n = 2500[/tex]
The sample size required is 2500.
Help pls! Need by 2 pm est time. Just do number 2 pls
7
Step-by-step explanation:
10.9-3.7 = 7.2
Therefore, 7 is the best estimate.
Write as a square of a binomial
4.8xy+36y^2+0.16x^2
Answer:
(6y+0.4x)^2
Step-by-step explanation:
Question 6 of 10
Which of the following appear in the diagram below?
Check all that apply.
zd
ОА. Иму
B. Y
I C. ZXYZ
OD. ZYXZ
SUBMIT
PREVIOUS
Answer:
83 dz
Step-by-step explanation:
yeahlets bbzkalaamN
can i get some help plz? God bless ❤️
Answer:
Step-by-step explanation:
a, i took this quiz a while ago
What is the slope of a line perpendicular to the line whose equation is
X+ 3y = –15. Fully simplify your answer.
PLEASEE help 10 points?
Answer:
3
Step-by-step explanation:
Which number line can be used to find the distance between (4, -1) and (8, -1)?
Answer:
I am not sure, but I believe it is the last one. Sorry if it's not right.
Answer:
The first number line
Step-by-step explanation:
Hey There!
The answer is the first number line because the y values in the given coordinates are the same so all we have to do is plot the x values (4 and 8) and we can find the distance between the two points. The first number line has 4 and 8 on it therefore that is the answer.
57. J(0,5), K(0, 0), L(-2, 0), P(4,8), Q(4,3), R(6, 3)
and
59. J(-6, -3), K(1, 5), L(2, -2), P(2, -11), Q(5, -4), R(10, -10)
Answer:
what you need
Step-by-step explanation:
sbbrma asks dmahh aos. Dan doss TNT saobe Dan dndjd f fjdhej f coapshf f xkslshd d xls HD x jams fnf
What are the sides of the triangle? What is the total length of the side of the big square?
Answer:
The sides of the the triangle is 7. The total of the the triangle is 24.
Step-by-step explanation:
I count how many triangle there is and is 7. I count all of the side of the triangle and it's 24.
look at the picture nd hurry please it needs to be done by 3 I have to do reading too!
Answer:
First one
Step-by-step explanation:
Even numbers
2 is tossed 10 times
4 is tossed 10 times
6 is tossed 9 times
10 + 10 + 9 = 29
Odd numbers
1 is tossed 8 times
3 is tossed 6 times
5 is toosed 7 times
8 + 6 + 7 = 21
I need help with this question
Ok yall please read the directions. 73 POINTS IF U ANSWER THE Q.
Answer: In their sleevies
Step-by-step explanation:
Hey! I'd show step by step work, but your pages are cut off and therefore I cannot properly read everything
Answer:
little late but wanted the points
Step-by-step explanation:
gimme points
What do I do for this
Answer:
its 7 or B.
Step-by-step explanation:
7 is the number being repeated the most (dunno if that makes sense so the mode is the most common number in a data set.)
-3 - 4x - 2(1 + 3x) = 1 - 2x + 2
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityDistributive Property
Algebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
-3 - 4x - 2(1 + 3x) = 1 - 2x + 2
Step 2: Solve for x
[Addition] Combine like terms: -3 - 4x - 2(1 + 3x) = -2x + 3[Addition Property of Equality] Add 3 on both sides: -4x - 2(1 + 3x) = -2x + 6[Addition Property of Equality] Add 4x on both sides: -2(1 + 3x) = 2x + 6Factor GCF: -2(1 + 3x) = 2(x + 3)[Division Property of Equality] Divide -2 on both sides: 1 + 3x = -(x + 3)[Distributive Property] Distribute negative: 1 + 3x = -x - 3[Addition Property of Equality] Add x on both sides: 1 + 4x = -3[Subtraction Property of Equality] Subtract 1 on both sides: 4x = -4[Division Property of Equality] Divide 4 on both sides: x = -1I need help please with number 5 and 6
Answer: #5 = -3 #6 = 0, there is no x
Step-by-step explanation: #5 - first you have to turn it into slope-intercept form. So, 3y+12=-9x will become y= -3x -4 because you divide all sides by 3 and you transpose 12 so it becomes negative... then you will pick out you slope which is the number in front of x so slope = -3
#6 - the slope is zero because there is no x in that equation.
Which ones are correct?
Answer:
a and c
Step-by-step explanation: