Solve for z
-153=-19z
For the following right triangle, find the side length x. Round your answer to the nearest hundredth. Side 15 bottom x 25 upper
Answer:
x = 20
Step-by-step explanation:
To do this question, you can use the pythagorean theorem. c is your hypotenuse, a is the unknown side length and b is the known side length.
a^2+b^2=c^2
x^2+15^2=25^2
x^2=225=625
x^2=400
(x^2)^(1/2)=400^(1/2)
x = 20
Match the real-world problem to its constant of proportionality.
$18.36 for 3 pizzas [box]
$4.17 for 3 pounds of bananas [box]
$16.48 for 4 pounds of potatoes [box]
2 cups of flour to make 24 cookies [box]
Place in the box 12 4.12 6.12 1.39
Answer:
6.12
1.39
4.12
12
Step-by-step explanation:
If y ∝ x, then y = kx.
So, the constant of proportionality is given by [tex]k = \frac{y}{x}[/tex]
Case 1:
$18.36 for 3 pizzas
Therefore, the constant of proportionality is [tex]\frac{18.36}{3} = 6.12[/tex]
Case 2:
$4.17 for 3 pounds of bananas.
Hence, the constant of proportionality is [tex]\frac{4.17}{3} = 1.39[/tex]
Case 3:
$16.48 for 4 pounds of potatoes.
Hence, the constant of proportionality is [tex]\frac{16.48}{4} = 4.12[/tex]
Case 4:
2 cups of flour to make 24 cookies.
Hence, the constant of proportionality is [tex]\frac{24}{2} = 12[/tex] (Answer)
80 foot roll of fence. to fit in backyard the width must be 15 feet long. how long can he make the other side in feet if he wants to use the entire roll?
Answer:
65 feet.
Step-by-step explanation:
80 feet roll of the fence is there.
It fits in the backyard the width must be 15 feet long.
So, there will be remaining (80 - 15 ) = 65 feet of fence.
If he wants to use the entire roll to fence the other side of the area then he can do it for more 65 feet length. (Answer)
A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $105. The total cost to rent 5 chairs and 3 tables is $33. What is the cost to rent each chair and each table?
The cost to rent one chair is $1.5 and one table is $8.5
Step-by-step explanation:
Let,
x be the cost of one chair
y be the cost of one table
According to given statement;
2x+12y=105 Eqn 1
5x+3y=33 Eqn 2
Multiplying Eqn 2 by 4;
[tex]4(5x+3y=33)\\20x+12y=132\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 1 from Eqn 3;
[tex](20x+12y)-(2x+12y)=132-105\\20x+12y-2x-12y=27\\18x=27[/tex]
Dividing both sides by 18
[tex]\frac{18x}{18}=\frac{27}{18}\\x=1.5[/tex]
Putting x=1.5 in Eqn 1
[tex]2(1.5)+12y=105\\3+12y=105\\12y=105-3\\12y=102\\[/tex]
Dividing both sides by 12
[tex]\frac{12y}{12}=\frac{102}{12}\\y=8.5[/tex]
The cost to rent one chair is $1.5 and one table is $8.5
Keywords: linear equations, subtraction
Learn more about linear equations at:
brainly.com/question/5500978brainly.com/question/5496711#LearnwithBrainly
Final answer:
Using a system of linear equations, we determine that the cost to rent each chair is $3 and the cost to rent each table is $6 from the party rental company.
Explanation:
To determine the cost to rent each chair and each table from the party rental company, we need to solve a system of linear equations based on the information provided:
The total cost to rent 2 chairs and 12 tables is $105.
The total cost to rent 5 chairs and 3 tables is $33.
Let's let c represent the cost of renting one chair and t represent the cost of renting one table. We can write the following system of equations:
2c + 12t = $105
5c + 3t = $33
By solving this system, we find that the cost to rent each chair (c) is $3 and the cost to rent each table (t) is $6.
Which segment is a median of triangle GFH
Answer:
The segment GT is a median of triangle GFH
Step-by-step explanation:
we know that
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
The angle bisector of a triangle is a line segment that bisects one of the vertex angles of a triangle.
In this problem
SH represent a line segment that bisects the vertex angle H of triangle GFH, so represent an angle bisector.
GT represent a median of triangle GFH, because the point T is the midpoint of segment FH (FT=TH)
therefore
The segment GT is a median of triangle GFH
2/67 = 18/x
..............................................................................................................................................................
Answer:
{ } should be the answer glad i could help
Step-by-step explanation: could i get marked as brainliest on this it took up alot of my time
The solution of the given proportionality is x = 603
The given proportionality is,
2/67 = 18/x
Since we know that,
Proportion is mostly discussed using ratios and fractions. A fraction is written as a/b, whereas a ratio is expressed as a:b, and a percentage says that two ratios are equal.
In this case, a and b can be any two numbers. The ratio and proportion are important foundations for understanding numerous ideas in mathematics and science.
Now proceeding the expression,
⇒ 18/x = 2/67
Taking reciprocal both sides we get,
⇒ x/18 = 67/2
Multiply 18 both sides we get,
⇒ x = (67x18)/2
= 67x9
= 603
Hence,
x = 603
To learn more about proportionality visit:
https://brainly.com/question/17793140
#SPJ6
what are the solutions of x²-4x+5=0?
Answer:
x=2+i, x=2-i
Step-by-step explanation:
x^2-4x+5=0
Apply the quadratic formula.
There are are no real solutions for this equation.
What is a quadratic equation?An equation whose highest degree is 2, is called a quadratic equation.
How to solve a quadratic equation?We can solve a quadratic equation by two ways:
Factorization- If the quadratic expression is factorizable then we can factorize it and equate it to 0. Then we can apply the concept that when product of two or more expressions is 0 then at least one of the expression or both must be 0By Shreedhar Acharya formula- A quadratic equation of the [tex]ax^{2} +bx+c=0[/tex] form can be solved by the formula given below:[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
or
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
This [tex]\sqrt{b^{2}-4ac }[/tex] is called discriminant.If the discriminant is negative, then the equation have no real solution.How to find the solutions of x²-4x+5=0?Comparing with the standard equation [tex]ax^{2} +bx+c=0[/tex],
a = 1b = -4c = 5How to check the discriminant?∴ Discriminant = [tex]\sqrt{b^{2}-4ac }[/tex] = [tex]\sqrt{-4}[/tex]
Here, the discriminant is negative, so there are no real solutions.There are imaginary solutions.Find out more about 'Quadratic Equation' here: brainly.com/question/1214333
#SPJ2
Find the next three terms of the geometric sequence 4, 10, 25...
Answer:
The answers are 31, 46, 52
Step-by-step explanation:
The sequence is 4+6=10, 10+15= 25, 25+6=31, 31+15=46, 46+6=52
8. What is the length, to the nearest tenth, of the line segment that joins points (4, -1) and
(7,5)?
For this case we have that by definition, the distance between two points is given by:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]
We have to:
[tex](x_ {1}, y_ {1}): (4, -1)\\(x_ {2}, y_ {2}): (7,5)[/tex]
Substituting:
[tex]d = \sqrt {(7-4) ^ 2 + (5 - (- 1)) ^ 2}\\d = \sqrt {(7-4) ^ 2 + (5 + 1) ^ 2}\\d = \sqrt {(3) ^ 2 + (6) ^ 2}\\d = \sqrt {9 + 36}\\d = \sqrt {45}\\d = 6,708[/tex]
We round:
[tex]d = 6.7[/tex]
Answer:
[tex]d = 6.7[/tex]
2. Ryan gets a raise. He now earns $9 an hour. Ryan decides to
start saving for a car. He works 9 hours a week
Part A
How many hours does Ryan need to work to earn
enough money to buy the car as well as pay for the
taxes, title, and plates as shown? Draw bar diagrams
to help write and solve equations.
Part 8
About how many weeks will Ryan need to work to buy the car and pay
for the taxes, title, and plates? Explain.
Part
How many actual weeks does Ryan need to work to buy the car and pay
for the taxes, title, and plates? Show your computations. Explain why your
solution is reasonable.
Answer:
9 hours at 9 dollars an hour is 81 dollars so therefore he needs to work 9 weeks in order to raise the money.
Step-by-step explanation:
Without the total cost of the car and additional fees, we cannot accurately calculate the number of hours or weeks Ryan needs to work. However, the process involves dividing the total cost by his hourly or weekly wage and interpreting the results.
Explanation:In order to answer these questions, we first need to know the total cost of the car including the taxes, title, and plates. We are given that Ryan earns $9 per hour and works about 9 hours a week. However, without the total cost of the car and other fees, we cannot accurately calculate how many hours or weeks Ryan needs to work to afford the car.
Part A: Once we have the total cost, we could draw a bar diagram partitioning it into units of $9 (one hour's wage). This would visually represent the number of hours Ryan needs to work.
Part B & C: For these parts, we would also need to know the total cost. Once we have it, we divide the total cost by Ryan's weekly wage ($9/hour x 9 hours = $81/week) to get the number of weeks he needs to work. If the result is a fraction, we would round it up to the next whole number for Part B, as Ryan cannot work a fraction of a week. This provides an estimate. For Part C, we would be more precise by exactly computing the number of weeks and explaining why our solution is reasonable.
Learn more about Wage and saving calculations here:https://brainly.com/question/35706347
#SPJ3
I will give 100 points to whoever has the best answer
1. Seiji and Gavin both worked hard over the summer. Together they earned a total of $525. Gavin earned $25 more than Seiji.
(a) Write a system of equations for the situation. Use s for the amount Seiji earned and g for the amount Gavin earned.
(b) Graph the equations of the system on the graph
(c) Use your graph to estimate how much each person earned, and explain your results.
Answer:
a)
[tex]\left\{\begin{matrix}g=525-s\\ g=s+25\end{matrix}\right.[/tex]
c)
Gavin earned $275
Seiji earned $250
Step-by-step explanation:
a) Denoting s as the earning of Seiji and g the earnings of Gavin, we know they together earned $525. This forms the equation
s+g=525, or equivalently
[tex]g=525-s[/tex]
We also know that Gavin earned $25 more than Seiji. It can be written as
[tex]g=s+25[/tex]
Combining both equations we get the system
[tex]\left\{\begin{matrix}g=525-s\\ g=s+25\end{matrix}\right.[/tex]
b) The graph is shown below
c) Both functions have one point in common. It's the solution of the system. We can conclude that
Gavin earned $275
Seiji earned $250
Find all points having an x coordinate of 5 whose distance from the point (2,2) is 5.
Answer:
(5,6) , (5,-2)
Step-by-step explanation:
Let the required point be P(5,y).
Its distance from (2,2) is 5 units.
So, [tex](5-2)^{2}[/tex] + [tex](y-2)^{2}[/tex] = 25.
So, [tex]3^{2}[/tex] + [tex](y-2)^{2}[/tex] = 25.
9 + [tex](y-2)^{2}[/tex] = 25.
[tex](y-2)^{2}[/tex] = 16
Two cases are possible for now
case 1 : y-2 = 4 .
y = 6
required point will be (5,6)
case 2 : y - 2 = -4.
y = -2.
required point will be (5,-2).
Two points are possible : (5,6) , (5,-2).
Review (Monday)
Date:
2. Mrs. Henry purchased 14 gallons of gas
for $34.72. How much did each gallon cost?
Answer:
2.48
Step-by-step explanation:
For each gallon she got she paid $2.48. I know this by doing 34.72 divided by 14 which got me the answer of $2.48.
Simplify . 16x3y2/36xy2z3
[tex] \frac{16 {x}^{3} {y}^{2} }{36x {y}^{2} {z}^{3} } = \frac{4 {x}^{2} }{9 {z}^{3} } \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ - a} = \frac{1}{ {x}^{a} } [/tex]
The measure of ZABC is 130º. Find
the value of x.
(6x+40)°
Answer:
x = 15
Step-by-step explanation:
If ZABC = 130º
ZABC = (6x+40)° = 130º
This equation can be rearranged to solve for x by isolating it (moving everything over to the other side).
(6x+40)° = 130º
Solve it without the degrees sign because it looks confusing.
6x+40 = 130
6x+40 - 40 = 130 - 40 (subtract 40 from both sides)
6x = 90
6x/6 = 90/6 (divide both sides by 6)
x = 15
Therefore x is 15. The degrees symbol is already included outside the bracket.
36, 17, 22, 43, 11, 56, 17,71
Range:
Answer:
Range = highest value - lowest value
= 71-11
= 60
Hope this helps!
Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multiplied the sum by 3, it would equal 12. Which equation could Stephanie use to find the number, x?
Answer:
The equation for the statement is ( x + 9 ) × 3 = 12 , and the value of x is - 5 .
Step-by-step explanation:
Given as :
Let The number picked by Amy = x
Amy told to Stephanie
she add 9 to the number and multiply the sum by 3 it would be 12
So, According to statement
( x + 9 ) × 3 = 12
Or, 3 x + ( 9×3 ) = 12
Or, 3 x + 27 = 12
or, 3 x = 12 - 27
or, 3 x = - 15
∴ x = - [tex]\frac{15}{3}[/tex]
I.e x = - 5
Hence The equation for the statement is ( x + 9 ) × 3 = 12 , and the value of x is - 5 . Answer
A carnival charges $1.50 per ride after an entrance fee. You paid a total of $30
after 12 rides. (a)Write an equation that gives the total cost as a function of the
number of rides. (b) Find the total cost for 19 rides.
Answer:
I didn't really understand but I hope this helps sorry if it doesn't!!
Step-by-step explanation:
r = number of rides
1.50r
1.50×12=18
1.50×19=28.50
12 rides = $18
19 rides = $28.50
and if you need the entrance fee:
30-18=12
so it would probably be $12.
and for the total ig fo the last one it would be:
28.50+12=40.50
so $40.50
Again I didn't really understand the question but I hope this helps!!
I need help ASAP i will mark you are whatever and give thanks but pls help me
i cant see the whole problem
Answer:
64.28 m
Step-by-step explanation:
In the attached file
39 times 49 times 81
Answer:
154,791
Step-by-step explanation:
Answer:
39 times 49 times 81 = 154791
Find y when x is -3
y=6x+8
Answer:
-10
Step-by-step explanation:
y=6x+8
y=6(-3)+8
y=-18+8
y=-10
HELP ME RIGHT NOW
thank you
Answer:
no
Step-by-step explanation:
it would not make a a circle
Answer:
No! :)
Step-by-step explanation:
It wouldn't create a circle, Hope this helps xx
What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tenth)
Answer:
6.9 foot.
Step-by-step explanation:
Given: Length of lamp post= 12-foot.
The angle of elevation of the sun is 60°.
∴ The length of Lamp post, which is opposite is 12-foot.
Now, finding the length of shadow cast by foot lamp.
Length of shadow is adjacent.
∴ We know the formula for [tex]Tan\theta[/tex]= [tex]\frac{Opposite}{adjacent}[/tex]
Next, putting the value in the formula.
⇒ [tex]Tan 60° = \frac{12}{adjacent}[/tex]
Cross multiplying both side and using the value of Tan 60°
∴ Adjacent= [tex]\frac{12}{\sqrt{3} } = 6.92[/tex] ≅ 6.9 (nearest tenth value)
6.9 is the length of shadow cast by a 12-foot lamp post.
Answer:6.9
Step-by-step explanation:
usatestprep
The signs show the costs of different games at a math festival. How much would it cost n people to play Decimal Decisions and Ratio Rage?
Answer:
$21.70-3.4n
Step-by-step explanation:
Decimal Decisions: 12.70-n+9
Ratio rage: n÷4
Expression: 12.70-n+9+n/4
Combine 12.70 and 9= 21.70
Bring down the rest of the expression.
21.70-n+n/4
Combine -n and n/4= -4n/4÷1n/4= 3/n
So, the answer is $21.70-3.4n
To determine the cost for n people to play Decimal Decisions and Ratio Rage, we need the cost per person for each game.
Explanation:To find out how much it would cost n people to play Decimal Decisions and Ratio Rage, we need to know the cost per person for each game. However, the cost for these games is not provided in the question. Can you please provide the cost for each game so that I can help you calculate the total cost?
what s y-4=-(x+9) in standard form -this is a alge"bruh" question
Answer:
y = -9x + 4 ?
Step-by-step explanation:
y-4 I=I -(x+9)
y-4 I=I -9x
+4 I I +4
-------------------
y = -9x+4
Solve the system using elimination.
7x - 5y = 26
2x+4y= 2
Answer:
x=3, y=-1. (3, -1).
Step-by-step explanation:
7x-5y=26
2x+4y=2
--------------
simplify 2x+4y=2 into x+2y=1
-------------
7x-5y=26
x+2y=1
-----------------
x=1-2y
7(1-2y)-5y=26
7-14y-5y=26
7-19y=26
19y=7-26
19y=-19
y=-19/19
y=-1
x+2(-1)=1
x-2=1
x=1+2
x=3
Answer: x=-1,y=0
Step-by-step explanation:
7x - 5y = 26 multiplied by factor of 2 becoming 14x-10y=52
2x+4y= 2 multiplied by factor of 7 becoming 14x+28y=14
now solve by elimination
14x+28y=14
-(14x-10y=52)
--------------------
38x=-38
x=-1
to find y plug in x to an equation
2(1)+4y= 2
y=0
harrison predicted that the actual quotient for 57,872 divided by 305 will be less than the estimate 60,000 divided by 300 equals 200. Is harrison correct? Explain how harrison arrived at his prediction (without dividing the actual numbers)
Harrison's prediction that the actual quotient for 57872 divided by 305 would be less than his estimate of 200 is correct. This is because the divisor (305) is larger than in the estimate (300), and also because the dividend (57872) is smaller than in the estimate (60000), leading to a smaller quotient.
Explanation:Harrison predicted that the actual quotient for 57872 divided by 305 would be less than his estimate of 60,000 divided by 300 which equals 200. To understand Harrison's prediction, we have to look at the numbers involved. When you are dividing two numbers, the quotient decreases as the divisor (the number you are dividing by) increases, given that the dividend (the number being divided) remains the same. In this case, 305 is larger than 300, so if the dividend were the same, the quotient for our original problem would indeed be smaller. However, the dividend in our original problem (57872) is smaller than the dividend in the estimate (60000). So we have a smaller number being divided by a slightly larger one, and this will also lead to a smaller quotient. Therefore, Harrison's prediction is correct.
Learn more about Estimation in Division here:https://brainly.com/question/31535032
#SPJ2
I need help with this problem
Answer:
c. 106 million
Step-by-step explanation:
A = number of people in the sample that use public transportation 5 or more days per week
A = 2,067,153
B = number of people total in the sample
B = 4,295,280
C = proportion of those in the sample that use public transportation 5 or more days per week
C = A/B
C = (2,067,153)/(4,295,280)
C = 0.48126 approximately
Multiply this value by the figure 220 million to compute the estimated number of people who use public transportation 5 or more days per week
C*(220 million) = 0.48126*(220 million) = (0.48126*220) million = 105.8772 million = 106 million
The lower half of a square pyramid is made of granite and the top half is made of limestone. Explain how you could find the surface area of the exposed granite.
Answer:
Area of the surface area of the lower half made of exposed granite = 1/4 (Perimeter of the base * Slant length)
Step-by-step explanation:
1. Let's review the data provided to us for solving the question:
Lower half of a square pyramid is made of granite
Top half of a square pyramid is made of limestone
2. Let's explain how we could find the surface area of the exposed granite.
First of all, let's remember what is the area of a square pyramid:
Area of square pyramid = Base area + Surface area of the four sides
Normally, we need to know the length of the square base and the slant length. And now let's replace in the formula:
Area of square pyramid = Length of the side of the square² + 1/2 (4 * Length of the side of the square * Slant length)
For calculating the surface area of the lower half made of exposed granite, we need to don't consider the base area and just the half of the surface area of the four sides, so the formula is:
Area of the surface area of the lower half made of exposed granite = 1/2 [1/2 (4 * Length of the side of the square * Slant length)]
Area of the surface area of the lower half made of exposed granite = 1/4 (4 * Length of the side of the square * Slant length)
Area of the surface area of the lower half made of exposed granite = 1/4 (4 * Length of the side of the square * Slant length)
Area of the surface area of the lower half made of exposed granite = 1/4 (Perimeter of the base * Slant length)
If we want to know the surface area of the lower half made of limestone, we can use the same formula:
Area of the surface area of the lower half made of limestone = 1/4 (Perimeter of the base * Slant length)
Answer:
Find the surface area of the entire square pyramid. Find the surface area of the exposed sides of the square pyramid made from limestone. Subtract the surface area of the square pyramid made from limestone from the surface area of the entire square pyramid.
Step-by-step explanation:
edg.