Answer:
the approximately sales tax rate is 7%
true or false? the opposite and adjacent sides stay the same no matter which angle you are looking at.
Answer:
true
Step-by-step explanation:
At New years you decide to join a gym to lose all those calories gained during winter break and youre comparing two different gyms. The first gym, gym A has a 12$ initiation fee and then costs 10$ per month. The second gym , gym B has a 20$ initiation fee and then costs 6$ per month. Create an equation that aims to find when these two gyms will cost the same amount of money
Given:
For gym A, initiation fee = $12 and cost = $10 per month.
For gym B, initiation fee = $20 and cost = $6 per month.
To find:
The equation that aims to find when these two gyms will cost the same amount of money,
Solution:
Let the number of months be x.
Cost function = Initiation fee + (cost)(x)
Cost function for gym A is
[tex]f(x)=12+10x[/tex]
Cost function for gym B is
[tex]g(x)=20+6x[/tex]
Cost of these two gyms are equal if f(x)=g(x).
[tex]12+10x=20+6x[/tex]
Therefore, the required equation is [tex]12+10x=20+6x[/tex].
On solving this equation, we get
[tex]10x-6x=20-12[/tex]
[tex]4x=8[/tex]
[tex]x=2[/tex]
Hence, after 2 months the cost of these two gyms are same.
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet
Answer:
A. 4 feet per minute
B. 24 feet
Step-by-step explanation:
Given that: distance = 10 feet
time = 2 1/2 minutes = 2.5 minutes
A. The descent rate is the speed with which an object descends with respect to a reference point or plane.
Speed is the rate of the distance moved to time taken.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{10}{2.5}[/tex]
= 4 feet/minute
Andy's descent is 4 feet/minute.
B. If he continues at this rate, his distance in relation to sea level after 6 minutes would be;
speed = [tex]\frac{distance}{time}[/tex]
4 = [tex]\frac{distance}{6}[/tex]
distance = 4 x 6
= 24 feet
Thus, Andy would be at 24 feet in relation to sea level after 6 minutes.
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.
Answer:
Inequality 1) y≤110−x; shade down
Inequality 2) y≥80− -2/3x; shade up
Possible solution: (40,60)
*The drama club could sell 40 student tickets and 60 adult tickets.
Step-by-step explanation:
Hope I helped ;)
Solution is image 1.
One possible solution is = (0, 100).
Given that:
x represents the number of student tickets sold and
y represents the number of adult tickets sold.
According to the question:
[tex]x+y\le110\\7x+10.50y\ge840[/tex]
Using a graphing calculator the graph is: image 1.
One possible solution is = (0, 100).
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Bananas cost $1.15 per pound. Jose bought 2.4 pounds of bananas. How much did it cost?
Answer:
$ 2.76
Step-by-step explanation:
Hi there !
1 pd ........... $1.15
2.4pd .........$ x
x = 2.4×1.15/1
= $ 2.76
Good luck !
Answer:
Bananas cost $1.15 per pound
Cost of 2.4 pounds of bananas
= $(2.4×1.15)=$2.76
$2.76 is the right answer.
How many solutions does the equation x^2 = 9 have? How do you know?
Answer:
I'm pretty sure it's 2
Step-by-step explanation:
x^2=9
Step 1: Take the square root.
x=±√9
x=3 or x=−3
Determine the value of x. images attached.
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
We use cosine to find the value of x
That's
[tex] \cos(45) = \frac{1}{x} \\ x \cos(45) = 1 \\ x = \frac{1}{ \cos(45) } \\ \\ \\ \boxed{ x = \sqrt{2} }[/tex]
Hope this helps you
Hope this helps you
help find missing angle??
Ok one quiestion Where do you think I live! 44 points if correct
Answer:
In America on the west coast
Step-by-step explanation:
help i need help with pre-algebra
Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is covered with an irrigation arm of 370 ft?
The land that is covered with an irrigation arm of 370 ft is
Answer:
The land that is covered with an irrigation arm of 370 ft is [tex]430,084\ ft^2[/tex]
Step-by-step explanation:
Area of the circle
Being r the radius of a circle, its area can be calculated as follows:
[tex]A=\pi\cdot r^2[/tex]
The irrigation arm acts as the radius of the irrigation circle, thus r=370 ft. The land covered is the area under the irrigation arm, thus:
[tex]A=\pi\cdot 370^2[/tex]
[tex]A=430,084\ ft^2[/tex]
The land that is covered with an irrigation arm of 370 ft is [tex]430,084\ ft^2[/tex]
Urvi solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. StartFraction 14 divided by StartFraction 2 Over 7 EndFraction. StartFraction 1 Over 14 EndFraction times StartFraction 2 Over 7 EndFraction = StartFraction 2 Over 98 EndFraction or StartFraction 1 Over 49 EndFraction Which is the most accurate description of Urvi's work? Urvi solved the problem correctly. Urvi multiplied the dividend by the divisor instead of finding the reciprocal. Urvi multiplied the denominators instead of finding a common denominator. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Given:
The equation is
[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]
To find:
The correct description of Urvi's work.
Solution:
We have,
[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]
Using the rule "multiply by the reciprocal", we get
[tex]\dfrac{14}{\dfrac{2}{7}}=14\times \dfrac{7}{2}[/tex]
[tex]\dfrac{14}{\dfrac{2}{7}}=\dfrac{98}{2}[/tex]
[tex]\dfrac{14}{\dfrac{2}{7}}=49[/tex]
Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
Is 5x+13 a equation or expression?
PLEASE HELP MEE ASAP!
Answer:
Step-by-step explanation:
1/6
i bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle to make my daughters halloween costume. how much yarn did i buy?
Answer:
3 5/24 yards of yarn.
The required yard of yarn purchased is given as 3 5/24 yards.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle.
Total yarn = 1 / 3 + 2 1/4 + 5/8
= 1/3 + 2 + 1/4 + 5/8
= 2 + 1/3 + 1/4 + 5/8
= 2 + [8 + 6 + 15] /24
= 2 + 29/24
= 2 + 1 + 5/24
= 3 5/24 yards of yarn
Thus, the required yard of yarn purchased is given as 3 5/24 yards.
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The area of a recalangle that is 8 feet long and 4 feet wide is
a 12 sq ft
b22 sq ft
c 32 sq ft
d 36 sq ft
Answer:
C is the answer! You're welcome
Answer:
C is your answer
Step-by-step explanation:
8 x 4 = 32 sq ft
Hope this helps! :)
3 90 Which is the best estimate of 7 A 2 B 6 C 12 D 24
Answer:
C 12 is the best estimate
Step-by-step explanation:
whats 0 divide by 0 heilpoudjcbjdfvhckdbcu k hybhlxbc jhvwdgv
Answer:
Its undefined lol
Step-by-step explanation:
Answer: Any number divided by 0 is undefined.
Step-by-step explanation: Think about it. How would you split something into 0 groups? That makes no sense; therefore you have an undefined value. This is true of all numbers.
The last part is function but need help asap
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
at the beginning of grade 6 the number of advanced math to the number of regluar math students was 3:8 however after taking placement tests students were moved around chaning the ratio of the number of advanced math students to the number of regluar math students was 4:7 how many student students started in reglaur math and advanced math if there were 92 students in advanced math after the placement test. Please tell me how to do this on a tape diagram
Answer:
There were 69 students in advanced math and 184 students in regular math before the placement tests
Step-by-step explanation:
The correct question
At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the number of advanced math students to the number of regular math students to 4:7. How many students started in regular math and advanced math if there were 92 students in advanced math after the placement tests?
Let
x ----> the number of advanced math students
y ----> the number of regular math students
we know that
At the beginning of grade 6
----> equation A
After taking placement tests
----> equation B
----> equation C
Remember that
The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests
step 1
Find out the total number of students after taking placement tests
we have
----> equation B
----> equation C
substitute the value of x in equation B and solve for y
The total number of students after taking placement tests is
step 2
Find out how many students started in regular math and advanced math
we have that
At the beginning of grade 6
----> equation A
-----> equation D
Solve the system of equations by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (69,184)
see the attached figure
therefore
There were 69 students in advanced math and 184 students in regular math before the placement tests
Answer:
:o
Step-by-step explanation:
A bottle of water is 2/3
full. You drink 1/4
of the water. Use a model to find the portion of the bottle of water that you drink.
Answer:
1/6
Step-by-step explanation:
Total quantity of water = 2/3
Total quantity drank = 1/4
The portion of the water that you drank = 1/4 of 2/3
= 1/4 × 2/3
= 1*2 / 4*3
= 2 / 12
= 1 / 6
The portion of the water that you drank = 1/6
This means you drank one - sixth of the water in the bottle
is 77.65488319 rational or irrational
Answer:
rationale
Step-by-step explanation:
step by step instructions
Answer:
Irrational
Step-by-step explanation:
The decimal doesn't terminate.
pleaseeeeeeeeeeeeeeeee solve this
Answer:
360 degrees
Step-by-step explanation:
We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as the exterior angles of the given triangles, their sum will be 360 degrees as well.
Solve for g. C = d/g
Answer:
I believe that g=dc
Step-by-step explanation:
You swap positions with g and c along with their sign of operation.
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
Which statement are true based on the diagram? Select 2 options
Answer:
Points J, K and Q are collinear
and
There is only one line that can be drawn through points L and P
The true statements are:
Points J, K and Q are collinear.
And, there is only one line that can be drawn through points L and P.
What is collinear Points?
Collinear points are the points that lie on the same straight line or in a single line.
How many lines can pass through two given points?Only one straight line can pass through the two points.
According to the question
We have a diagram in which there are eight points and four lines.
From the given diagram we can see that points J, K and Q lie on the same straight line.
Therefore, points J, K and Q are collinear.
As we know that, only one straight line can pass through the two points.
Therefore, from two points L and P only one straight line can be drawn.
Hence, statements second and fifth are correct.
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A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.
Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)
so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..
Step-by-step explanation:
How do you write 8.43 × 10^-4 in standard form?
Answer:
0.000843
Step-by-step explanation:
simplify the expression:
8.43 × 0.0001
now simplify:
0.000843
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Anna walks her dog at a constant rate of 12 blocks in 8 minutes. Complete the table to show the total time it takes to walk 12, 24, 36, and 48 blocks.
12=8 minutes
24=16 minutes
36=24 minutes
48=32 minutes
Answer:
8 min in 12, 16 in 24, 24 in 36, and 32 in 48
Step-by-step explanation:
First of all, we know that 12 blocks is done 8 minutes. and we see the 12, 24, 36, and 48 are all multiples of 12, so that pattern is adding 12. That means we shall continue the pattern with multiples of 8. So, for every 24 blocks, it will take 16 minutes, and in 36 blocks, it will take 24 minutes, and so on. I hope this helps and I hope it's right, and if it isn't I apologize.