The gym option costs less per class for six classes(Option B), and the gym option costs less per class for seven (Option D).
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Here we're specified that:
For high school classes:
one-time fee of $20 plus $10 per class.For local gym:
she can join for $50 and take classes for $5 per class.For 6 classes:
High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 6 = $(20+60) = $80
(since $20 dollar is one time cost, and $10 was price for each class)
Similarly, joining local gym's $50 cost is one time, and rest of $5 is price for each class.
Local gym : $50 + $(5+5+5+5+5+5) = $20 + $5 × 6 = $(20+30) = $50
For 7 classes:
High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 7 = $(20+70) = $90
Local gym : $50 + $(5+5+5+5+5+5+5) = $20 + $5 × 7 = $(20+35) = $55
Thus, the statements which are true about the average cost for the two options is given by: Option B: The gym option costs less per class for six classes., Option D: The gym option costs less per class for seven classes.
Learn more about forming equations here:
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Pleaseeeeee helppp!!!!! Will mark brainliest!!
Answer:
the first one (3x-2)(2x-3)
y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points
Answer:
I think you are incorrect
Step-by-step explanation:
this was the answer i got 121
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
30-60-90 triangles and 45-45-90 triangles
What are the ratios that correspond?
My math teacher says its x, √3x, 2x and x, x, √2x. But I’ve seen others do it x, x √3, 2x and x, x, x √2
Which is correct? Thank you
My math teacher did it the same way so I would go with your teacher's way
Please help me with algebra question will mark brainliest to first person with a real answer
Answer:
367/90
Step-by-step explanation:
As [tex]4.\bar{7}=4\frac{7}{9}[/tex], this means that [tex]0.4\bar{7}=4\frac{7}{90}=\frac{367}{90}[/tex], 1/10th of 4.7 repeated.
The number of students in sixth grade is 1.03 times the number of students in seventh grade. What percent is equivalent to 1.03?
Solve the equation -4x^3=32
Answer:
-2
Step-by-step explanation:
-4x^3 = 32
x^3 = -8
take the cube root of both sides.
x = -2
[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]
A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?
~Denki~
Answer:
the length of "AC" should be the same as it was before it was reflected over the y-axis.
(there is no picture so i cant get as specific as intended)
hope this helps :D
This shows how to copy the triangle, cut the copy into pieces, and form a rectangle.
What is the area of the rectangle?
( ) square millimeters
What is the area of the triangle?
( )square millimeters
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
What is an area?The area is the amount of space occupied by a two dimensional shape or object.
Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²
Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
Find out more on area at: https://brainly.com/question/25292087
a contractor hires 150 men to pave Philip Goldson highway in 30 days. How many men will he hire to do the same work in 20 days?
Answer:
225 men
This conversion leads to the answer:
30 days → 150 men1 days → (150 *30) men1 days → 4500 men20 days → (4500/20) men20 days → 225 menAlexa can follow the sidewalk from the library to the school or she can travel across the grass
directly. Which route is longer?"
Sidewalk-78m
13m
The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.
How to calculate the distance?From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.
In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.
Learn more about distance on:
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What’s the scale factor? Quick
This is on ixl and I have to get at least a 90
Answer:
4
Step-by-step explanation:
We start with the smaller shape. We look at each coordinate and we multiply by 4. That will give us the coordinates for the bigger shape.
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
See picture for full problem. Please and thank you so very much!
Answer:
Step-by-step explanation:
PLS HELP OFFERING BRAINLIEST+20 POINTS! I RLLLLLLLLLYYYYYYY NEED HELP!
Answer:
c and d
Step-by-step explanation:
hope it helps bud
Choose the correct problem for the fraction 12/13
A. 13 ÷ 12
B. 12 ÷ 13
C. 12 x 13
D. 12 ÷ 10
Answer:
B. 12 ÷ 13
Explanation:
13 ÷ 12 = 13/1212 ÷ 13 = 12/13 12 x 13 = 156 12 ÷ 10 = 12/10 = 6/5Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)
Answer:
purple
Step-by-step explanation:
Tanya's father travels every week for business. He has traveled around the
world many times. Over the past 10 years, he has accumulated approximately
460,000 frequent flyer miles. How is that number expressed in scientific
notation?
A. 4.6 × 103
B. 4.6 × 10 4
C. 4.6 × 10 5
D. 46 × 10 5
The correct answer would be: 4.6 x 10^5
Select all the expressions whose value is larger than 100.
a. 120% of 100
b. 50% of 150
c. 150% of 50
d. 20% of 800
e. 200% of 30
f. 500% of 400
g. 1% of 1,000
Answer: A, D, F
Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000
G: 10
What is the solution of the inequality shown
below?
x-1 < -10
Answer:
x<-9
Step-by-step explanation:
x−1<−10
Add 1 to both sides.
x<−10+1
Add −10 and 1 to get −9.
x<−9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hoped this helped :)
Answer:
x < -9
Step-by-step explanation:
Bring like terms to one side⇒ x - 1 < -10
⇒ x < -10 + 1
⇒ x < -9
The solution is x < -9 or x is less than negative 9What is the vertex of the graph of the function f(x) = x² + 8x - 2?
(-4,18)
(0,-2)
(-8, -2)
(-4,-18)
Answer:
(4, -18)
Step-by-step explanation:
First Use this formula for the x -axis -b/2a
-8/2(1) is -4
Then plug in -4 to the equation
(-4)^2+8(-4)-2 = -18
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
15.8 :D
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
9^2 + 13^2 = c^2
81 + 169 = c^2
250 = c^2
Now we need to find the square root!!
[tex]\sqrt{250}[/tex] = 15.8 :)
Have an amazing day!!
Please rate and mark brainliest!!!
Manuel starts with $30. He earns $8.00 per hour plus an additional
bonus of $12 each day. He spends $8.00 for lunch. If he has $94 at
the end of the day, how many hours did he work?
Answer:
He worked about 5.5 hours
Step-by-step explanation:
Im pretty sure
Answer:
7.5 hours
Step-by-step explanation:
h=hours
30+8h +12-8 =94
8h+34=94
8h =60
h= 7.5
The difference of x and a number is 6. What is the other number?
Answer:
Answer: The other number is y = x + 6.
Step-by-step explanation:
What is the measure of the unknown angle?
A 72°
B 74°
C 76°
D 79°
Answer:
C. 76 degrees.
Step-by-step explanation:
n = 180 - 104
= 76.
Answer:
C
Step-by-step explanation:
a straight line is 180 degrees
so we can say that n is equal to 180 - 104
n is equal to 76 degrees
Does anybody know this ?
Answer:
0, 1, 2, 3, 4
Step-by-step explanation:
Multiply each x value by 1/3 then add 2. Since the numerator is 1, you would multipy by one and divide by the denominator of 3, so you really need to divide each x value by 3 then add 2.
-6:
-6/3 = -2
-2 + 2 = 0
-3:
-3/3 = -1
-1 + 2 = 1
0:
0/3 = 0
0 + 2 = 2
3:
3/3 = 1
1 +2 = 3
6:
6/3 = 2
2 + 2 =4
perform the indicated operation 7/2x-2/3x
Answer:
Ans: n−√5
Step-by-step explanation:
Question 6 of 10
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
5
(2,-2)
O A. y-2 = 3(x+2)
O B. y + 2 = -3(x - 2)
O C. y2 = -3(x+2)
O D. y + 2 = 3(x-2)
The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Point-slope form of an equation of a lineFrom the question, we are to determine the point-slope form of the given line
The point-slope form of an equation of a straight line is written as
[tex]y-y_{1}=m(x-x_{1})[/tex]
Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line
From the given information,
m = -3
And in the diagram,
One of the points on the line is (2, -2)
Therefore, we can write that
x₁ = 2 and y₁ = -2
Substituting into the point-slope form of an equation of a line,
We get
y - (-2) = -3(x - 2)
This becomes
y + 2 = -3(x - 2)
Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231
The diagram for the question is attached below.
You find an apartment which charges 925 a month rent. each year the rent increases by 6% a. write a sequence that represents the rent paid each year for the first 5 years.
Answer:
In the first 5 years, 138,750$ worth of rent will already have been paid.
Step-by-step explanation:
Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.
Water is pouring into a conical vessel of diameter 5.2m and slant height 6.8m (as shown in the adjoining figure), at the rate of 1.8 m per minute. How long will it take to fill the vessel?
Answer:
31.6m
Step-by-step explanation:
First, find area of the vessel [ (πr2h)/3 ]
Radius = 5.2/2= 2.6
Using Pythagorean theorem, find the height of the cone:
[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38
Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] = 56.88 [tex]cm^{3}[/tex]
Do cross multiplication using ratios:
1.8 = 1
56.88 = [tex]x[/tex]
[tex]\frac{56.88}{1.8}[/tex]= 31.6
a) write 2 2/3 as an improper fraction in its simplest form.
B) work out 2 2/3 x5 give your anwser as an improper
fraction in its simplest form.
Step-by-step explanation:
a) write 2 2/3 as an improper fraction in its simplest form....
[tex] = 2 \frac{2}{3} \\ [/tex]
[tex] = \frac{2 \times 3 + 2}{ 2} \\ [/tex]
[tex] = \frac{8}{2} \\ [/tex]
[tex] = \frac{8 \div 2}{2 \div 2} \\ [/tex]
[tex] = \frac{4}{1} = 4 \\ [/tex]
B) Work out 2 2/3 x5 give your anwser as an improper...
[tex] = 2 \frac{2}{3} \times 5 \\ [/tex]
[tex] = \frac{2 \times 3 + 2}{3} \times 5 \\ [/tex]
[tex] = \frac{8}{3} \times 5 \\ [/tex]
[tex] = \frac{40}{3} \\ [/tex]
Hi please help with an explanation as well, I’ll reward branliest!!!
Answer:
1. B = 6 m²
2. h = 2 m
3. V = 12 m³
Step-by-step explanation:
the base is a right triangle
Then
[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]
____________
The height of the prism is the length of the segment that join the base to its opposite face
Then
h = 2m (given)
___________
The volume of the prism :
[tex]V=B\times h=6\times 2=12 m^3[/tex]