Answers
Related Questions
Using Angle Relationships to Solve Equations
Answers
Answer:
8. x=19
9. 42
10. 23
Step-by-step explanation:
8.
x+x+4+3x-9 =90
5x-5=90
x= 19
9.
x=19
x+4= 23
19+23=42
10.
x+4=23
Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 100 grams, how long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?
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Answer:
19.3 years
Step-by-step explanation:
Given that the initial mass of a sample of Element X is 100 grams,
The formula is given as:
N(t) = No × (1/2) ^t/t½
Element X is a radioactive isotope such that every 30 years, its mass decreases by half.
N(t) = Mass after time (t)
No = Initial mass = 100 grams
t½ = Half life = 30 grams
N(t) = 100 × (1/2) ^t/30
How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?
This means we are to find the time
N(t) = 100 × (1/2) ^t/30
N(t) = 64 grams
64 = 100(1/2)^t/30
Divide both sides by 100
64/100 = 100(1/2)^t/30/100
0.64 = (1/2)^t/30
Take the Log of both sides
log 0.64 = log (1/2)^t/30
log 0.64 = t/30(1/2)
t = 19.315685693242 years
Approximately = 19.3 years
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 9 students, requires 1 chaperone, and costs $100 to rent. Since there are 756 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 756 students. Since only 70 parents have volunteered to serve as chaperones, the officers must plan to use at most 70 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
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Number of buses needed = 7
Number of vans needed = 24
The equation of a line in slope intercept form that is perpendicular to y=-1/3 x +5 and goes through the point (-1,3)
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Answer:
y = 3x + 6
Step-by-step explanation:
The general equation of a line is;
y = mx + b
where m is the slope and b is the y intercept
The slope of the first line is -1/3
when two lines are perpendicular, the product of their slopes is equal to -1
Thus;
-1/3 * m2 = -1
-m2 = -3
m2 = 3
So the equation of the second line is;
y = 3x + b
To get b, we substitute the coordinates of the point (-1,3)
We substitute -1 for x and 3 for y
so, we have;
3 = 3(-1) + b
3 = -3 + b
b = 3 + 3
b = 6
So we have the second equation as;
y = 3x + 6
HELP ASAP PLEASE DONT GUESS MY GRADE IS ON THE LINE jim and joan miller are customers applying for a mortgage jim and Joan Miller are borrowing 120,000 at 6.5% per annum compounded monthly for 30 years to purchase a home their monthly payment is determined to be 758.48 •a recursive formula for their balance after each monthly payment has been made •a determination of Jim and Joan balance after the first payment •determine when the balance will be below 75,000 •determine when the balance will be paid off •determine the interest expense when the loan is paid
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Step-by-step explanation:
So, the account is at 0 initially; after the 1st payment made to the statement, the only balance it'd have, is the first payment amount, so namely, what's the monthly amortized cost.
Ex.: the picture
So let's do the same!
pymt: 120,000 [0.049/12/1 - (1 + 0.049/12) -12 x 20]
Hope this helped!
4 The rate of compound interest is 7.5%. How long will it take for an investment of $4500 to
be worth more than $7000?
Please use the compound interest formula for IGCSE:
[tex]p(1 + \frac{r}{100} ) {}^{t} [/tex]
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What is the area of a regular hexagon with perimeter of 90 ft?
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Answer:
A=584.57
Step-by-step explanation:
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Triangle A B C with a perimeter of 82 inches is shown. Sides A B and B C have lengths of 24 inches. Point D is the midpoint on side A C.
Which best describes the resulting three-dimensional figure?
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Answer:
A,B and B,C
Step-by-step explanation:
The three demincanal she would be a triangle and they have small sides so that would be your answer.
Maisiereceives a weekly paycheck from her boss she spent half of this week paycheck on food and spent and additional 5.00 on a taxi . If she didn't spend any additional money and finished the week with 41 how much is Masie weekly paycheck
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Answer:
If she didn't spend any additional money and finished the week with 41 how much is Masie weekly paycheck. 1. See answer.
Find the area of this shape
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Answer:
433 m²
Step-by-step explanation:
Find the side length of the square first.
Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.
[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]
=[tex] \sqrt{51.84} [/tex]
= 7.2 m
Therefore the side of the square is
7.2 ×2
= 14.4 m
The area of the square
= 14.4²
= 207.36 m²
You are able to find the area if of the 2 triangles.
(7.2 × 9.6)÷2 ×2
= 69.12 m²
The height of the pentagon
= 25.4 - 7.2
= 18.2 m
The area of the pentagon
= (10+7.2) × 18.2 ÷ 2
= 156.52 m²
Add up the areas of the 3 polygons.
The area of the shape
= 207.36 + 69.12 + 156.52
= 433 m²
The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $3900 every night to cover all expenses. Let d represent the number of adult tickets sold at $8.50. Let s represent the number of student tickets sold at $5.50 each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $3900? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $3900 did ticket sales fall?
yeah
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Answer:
$137.00
Step-by-step explanation:
add all the money then add the 600 to the money u get.
please describe the difference between the slope and the y-intercept. Please also describe how we can use the slope and y-intercept to graph.
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Answer:
The slope is basically the rate of change in which it describes how steep the line is. The y-intercept is a point in the graph in which a point crosses the y axis.
The slope and the y-intercept is connected with the formula y=mx+b, where b is the y intercept and mx is the slope. With this equation, you can graph by first putting your y-intercept (b) in the graph, remember that the y-intercept has x as 0, for example (0,4) or (0,12). After that, all you have to do to complete the line is to use the slope by plugging the x to the slope and adding the y-intercept.
Now you might have a little idea of what is the slope and y-intercept, and might still be confused on certain things, so ill give an example.
ex) you are given the formula y=2x+4 and you are asked to graph it
step 1) you take the b, which is 4 and put it in the graph, knowing the the point is (0,4) because b is the y-intercept, which means that x=0.
step 2) take a random x point on the xaxis and plug it in the formula, then you add the b (4), lets say x=2
so it will become 2(2) +4 = 6, so when x=2, y is 6.
Now you have found 2 points, (0,4) and (2,6), all you have to do is plug it in the graph.
The graph is drawn below.
If you have anymore questions, don't hesitate to message me.
Hope that answers your question, good luck in your test
ps. Math becomes waaaay harder
Step-by-step explanation:
Evaluate: cos ω, if tan ω = - 4/3 and sin ω > 0
Answers
Answer:
-3/5
Step-by-step explanation:
tan = opp/adj using pathagorean the hypt is 5
cos = 3/5
tan is negative in quad 2 and 4
sin is positive in quad 1 and 2
so because tan is negative and sine is positive the cosine is negative
-3/5
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25
Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25
4x + 3y = 7.25
3x - 4y = 7.25
(3 + 4)x = 7.25
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Answer:
p + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
pls mark me brainless
find the solution of given expression,
[tex] \sqrt{72 \times 2} [/tex]
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Answer:
Solution given:
[tex] \sqrt{72 \times 2} [/tex]
[tex] \sqrt{144} [/tex]
[tex] \sqrt{12²} [/tex]
±12 is a required answer m
PLSS HELP ME ITS TIMED ILL MARK BRAINLIEST
Answers
Answer:
56 times 52 times 76 divide by 4 = ? times 3 dont forget to add cm cubed at the end
Step-by-step explanation:
18) Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? OA) 10 cm, 9 cm, 3 cm OB) 3 cm, 5 cm, 10 cm OC) 15 cm, 10 cm, 7 cm OD 10 cm, 10 cm, 10 cm
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Answer:b am pretty sure
Step-by-step explanation:
What is the volume of the prisim?
This prism measures 3 units by 4 units by 2 units.
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Answer:
24
Step-by-step explanation:
3*4*2=24
3*4*2=24
What is the area of the polygon? Show your work!
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Answer:
6+6=12 cm
4+4=8 cm
6+6= 12 cm
Add all together and it equals 32
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
I LOVE DOING THESE
4x6=24
24x0.5=12
12x4=48
4x4=16
48+16=64
jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children.
Based on the data in this bar graph, which movie received 20% of the total votes? How do you know?
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Answer: 191 students and ninety seven 10th graders were surveyed
Step-by-step explanation:
The
Black
for this set of data is 23.
11 27 14 34 16
17
A mean
B median
c) mode
D)Range
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Answer:
D
Step-by-step explanation:
Add 11,27,14,34,16, and 17 then divide by 7
Choose the mixed number that is equivalent to $ 1.32.
1 32 /100
3 12/100
1 32/10
32/100
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Answer:
1.32/100
Step-by-step explanation:
Address input parameters and values. Input parameters and values: The decimal number = 1.32Write it as a fraction ; 1.32/1Multiply 100 to both numerator and denominator(1.32×100)/(1×100) = 132/100
It can be written as 132%= 132/100 or 132/100
4. To simplify 132/100 to its lowest terms, find LCM for the 132 and 100
4 is LCM for 132 and 100.
5. Divide numerator and denominator by 4
132/100=(132/4)/(100/4)=33/25.
33/25 is a simplest fraction for the decimal point number 1.32.
Answer:
132/100
Step-by-step explanation:
When you multiply by 10,100,1000.... you add zero. For example:132×10=1320 132×100=13200When you devide by 10,100,1000 you decrease the number starting from the right to left. For example: 132/10=13,2 132/100=1,32. NOTE it depends on the number of zeros.what is root 3 × 2 root 3
Answers
Answer:
3
Step-by-step explanation:
The principal, real, root of:
[tex]\sqrt[2]{3}[/tex]
=1.73205081
All roots:
1.73205081
−1.73205081
3 is not a perfect square
what is 1+2+3+4+5+6+7+8+9
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Answer:
45
Step-by-step explanation:
The answer to 1+2+3+4+5+6+7+8+9 is 45
EXPLANATION
It wasent that hard really just use a calculator
A teacher is making worksheets for the next unit. He can create 3 worksheets in an hour and has 10 worksheets already created from the previous year. Which of the following lengths of time worked will not be long enough for the teacher to have created 27 worksheets. * Check All That Are True*
6 hours, 10 hours, 8 hours, 2 hours, 4 hours
Answers
Answer:
2 hours, 4 hours
Step-by-step explanation:
So lets go over what we know.
There are already 10 worksheets created.
Every 1 hour 3 more are made.
27 worksheets need to be made.
Ok, the first thing we can do is subtract the amount of worksheets needed by the amount we laready have:
27-10
=
17
Now, lets divide the amount of worksheets we still need, by how many we make each hour:
17/3
=
Well, 3 goes into 15, 5 times. Then 2 is left. So we know it takes 5 2/3 hours to create all 27 worksheets.
Looking at the answers, 6 hours, 8 hours, and 10 hours would work. However 2 hours and 4 hours would not work.
Hope this helps! ;)
PLEASE HELP ME I PROMISE A BRAINLIEST AND 5 STARS AND TY IF RIGHT PLEASE IM CONFUSED C: NO LINKS OR REPORT RIGHT AWAY >:(
please find the probability of what would happen for the 3 questions marked with black and has independent on them c:
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Answer:
Total number of candies:
6 + 3 + 5 + 2 = 16Q1
P(2 red) = 3/16*3/16 = 9/256Q2
P(a yellow and a blue) = 2/16 * 6/16 = 3/64Q3
P(2 greens and a red) = 5/16 * 5/16 * 3/16 = 75/4096ILL MARK BRAINLIEST TO FIRST PERSON TO ANSWER CORRECTLY
Which One Doesn't Belong? Determine which equation from the four below doesn't belong and justify your answer. Could there be a different answer?
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Answer:
what on the planet is the question
Alguien me ayuda tiene que ser sobre Bosques tropicales secos
Cantidad de especies
Superficie aprovechada
Área en peligro
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Answer:
asd
Step-by-step explanation:
asddffffffff
Can someone help me with this? (8x+5)+(−x 2−8)
Answers
Answer:40=6
Step-by-step explanation:
Answer:
[tex]-x^{2} + 8x - 3[/tex]
Step-by-step explanation:
Determine the center and radius of the following circle equation:
x² + y2 + 20x – 14y + 133 = 0
Answers
Centre ( - 10 , 7 )
Radius -> 4 unit