Given:
Monthly fees for the local pool are $8 per month and $2 per visit.
Hector pays $34 in pool fees total for the month.
To find:
The number of times he visit the pool.
Solution:
We have,
Monthly fee of pool = $8
Additional fee = $2 per visit
Let Hector visit x times.
Additional fee for x times = $2x
Total fee = Monthly fee + Additional fee
[tex]34=8+2x[/tex]
[tex]34-8=2x[/tex]
[tex]26=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{26}{2}=x[/tex]
[tex]13=x[/tex]
Therefore, Hector visit the pool 13 times.
PLEASE HELP
Find the slope of the line passing through
the points (-3,-3) and (5. 5) using the
slope formula.
Answer:
slope = 1
Step-by-step explanation:
-3 | -3
5 | 5
_____
8 | 8
8/8= 1
Can somebody good at math help me with these please I would really appreciate it
Answer:
1) The discount is $4.05
The sale price is $18.45
2) The discount is $10
The sale price is $30
3) The discount is $2.6
The sale price is $23.4
Step-by-step explanation:
1) What is the discount and sale price for a haircut that originally cost $22.50 with an 18% discount.
Actual Price= $22.50
Discount = 18%
Finding discount:
[tex]18\%\:of\:22.50\\=\frac{18}{100}\times 22.50\\=4.05[/tex]
So, the discount is $4.05
Finding Sale Price
The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]
Putting values and finding sale price:
[tex]Sale\:Price=22.50-4.05\\Sale\:Price=18.45[/tex]
The sale price is $18.45
2) What is the discount and sale price for a sweatshirt that originally priced $40.00 with an 25% discount.
Actual Price= $40.00
Discount = 25%
Finding discount:
[tex]25\%\:of\:40.00\\=\frac{25}{100}\times 40.00\\=10[/tex]
So, the discount is $10
Finding Sale Price
The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]
Putting values and finding sale price:
[tex]Sale\:Price=40.00-10\\Sale\:Price=30[/tex]
The sale price is $30
2) What is the discount and sale price for a large pizza that originally cost $26.00 with an 10% discount.
Actual Price= $26.00
Discount = 10%
Finding discount:
[tex]10\%\:of\:26.00\\=\frac{10}{100}\times 26.00\\=2.6[/tex]
So, the discount is $2.6
Finding Sale Price
The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]
Putting values and finding sale price:
[tex]Sale\:Price=26.00-2.6\\Sale\:Price=23.4[/tex]
The sale price is $23.4
Plzzzzzz I need help
Answer:
going in the order top to bottom
i)
2
2
2
2 and 2
ii)
2 and 2
2
2
2 and 2
iii)
2
2
2 and 2
2 and 2
Step-by-step explanation:
you have to find out what number you times to get the number they have given you (eg: you have to get 4 and they have given you the number 2, 2 times what makes 4? the answer is 2)
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Expanded: 4x^2+20x+25
When simplified it changes back, (2x+5)^2
Step-by-step explanation:
Answer:
4x² + 20x + 25
Step-by-step explanation:
Given
(2x + 5)²
= (2x + 5)(2x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 5) + 5(2x + 5) ← distribute both parenthesis
= 4x² + 10x + 10x + 25 ← collect like terms
= 4x² + 20x + 25
Select the expression equivalent to 4(x - 7) + 8. A 4x - 47 + 8 B 4(x - 15) С 4x - 7 + 8 D 4x - 28 + 8
Step-by-step explanation:
4(x - 7) + 8
= (4)(x) + (4)(-7) + 8
= 4x - 28 + 8. (D)
Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm
Answer:
This other side of the triangle is equal to about 11.7 cm
Step-by-step explanation:
In order to find out the third side of the triangle we will just use the Pythagoras Theorem.
[tex]c^{2} =a^{2} + b^{2}[/tex]
Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...
[tex]c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\[/tex]
[tex]b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\[/tex]
And so b ≈ 11.66190
what function is the sequence 5, 10, 15, 20, 25, 30
Answer:
a[tex]n[/tex]=5n
Step-by-step explanation:
14 + 3 = 50 - 6
Please let me know quick with solving steps!
Answer:
Can you show me a picture, that would help.
hi please help me , if u dont mind
Answer:
C or B
Step-by-step explanation:
Answer: i believe it would be B
Step-by-step explanation: Basically the graph points keep moving up.
7x - 2 < 10 innequality
Answer:
x < 12/7
Step-by-step explanation:
if a 6-kg bowling ball is rolled down the bowling lane with a velocity of 3.5m/s what is the momentum of the ball. show can you please use the formula p=M x V. And can you show me how to do it.
Answer:
Hello, and I would like to help you. Would you mind if I just gave you the answer? If you would like me to explain say so in thec h a t
if you just want the answer tell me in c h a t I can always edit my answer.
Step-by-step explanation:
Lucky is making bread. Lucky took 4 hours to knead the dough. The dough was made up of 8 kilograms of flour. How long will it take Lucky to knead 40 kilograms of flour?
Answer: 20 hours
In 1 hour it would make 2 kilograms so 40/2 is 20
Answer: 20 hours
Step-by-step explanation:
Multiply the 4 hours and 8 kg by 5 individually and you’ll get 40kg and 20 hours
Help please!
Write an inequality that represents the situation. A cat weighs less than 8 pounds.
w is a place holder for the cat's weight. It's some positive real number.
To describe all weights less than 8, we simply write w < 8.
For example, let's say the cat weighs 5 pounds. This would mean w = 5. In other words, 5 replaces w and we go from w < 8 to 5 < 8. This is a true inequality because 5 is smaller than 8.
Something like 10 < 8 is false because 10 is not less than 8. So w = 10 is not a solution to w < 8.
Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure LaTeX: \frac{5}{6}5 6 meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?
Answer:
Example 1
A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 80 feet of wire fencing to enclose 3 sides, and will put the 4th side against the backyard fence. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length
L.
In a scenario like this involving geometry, it is often helpful to draw a picture. It might also be helpful to introduce a temporary variable,
W, to represent the side of fencing parallel to the 4th side or backyard fence.
Since we know we only have 80 feet of fence available, we know that
L + W + L = 80, or more simply, 2L + W = 80. This allows us to represent the width, W, in terms of L: W = 80 – 2L
Now we are ready to write an equation for the area the fence encloses. We know the area of a rectangle is length multiplied by width, so
A = LW = L(80 – 2L)
A(L) = 80L – 2L2
This formula represents the area of the fence in terms of the variable length
L.
Example 2
Returning to our backyard farmer from the beginning of the section, what dimensions should she make her garden to maximize the enclosed area?
Earlier we determined the area she could enclose with 80 feet of fencing on three sides was given by the equation
A(L) = 80L – 2L2. Notice that quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.
In finding the vertex, we take care since the equation is not written in standard polynomial form with decreasing powers. But we know that
a is the coefficient on the squared term, so a = -2, b = 80, and c = 0.
Finding the vertex:
h
=
−
80
2
(
−
2
)
=
20
,
k
=
A
(
20
)
=
80
(
20
)
−
2
(
20
)
2
=
800
The maximum value of the function is an area of 800 square feet, which occurs when
L = 20 feet. When the shorter sides are 20 feet, that leaves 40 feet of fencing for the longer side. To maximize the area, she should enclose the garden so the two shorter sides have length 20 feet, and the longer side parallel to the existing fence has length 40 feet.
Example 3
A ball is thrown upwards from the top of a 40 foot high building at a speed of 80 feet per second. The ball’s height above ground can be modeled by the equation
H(t) = –16t2 + 80t + 40.
What is the maximum height of the ball?
When does the ball hit the ground?
To find the maximum height of the ball, we would need to know the vertex of the quadratic.
h
=
−
80
2
(
−
16
)
=
80
32
=
5
2
,
k
=
H
(
5
2
)
=
−
16
(
5
2
)
2
+
80
(
5
2
)
+
40
=
140
The ball reaches a maximum height of 140 feet after 2.5 seconds.
To find when the ball hits the ground, we need to determine when the height is zero—when
H(t) = 0. While we could do this using the transformation form of the quadratic, we can also use the quadratic formula:
t
=
−
80
±
√
80
2
−
4
(
−
16
)
(
40
)
2
(
−
16
)
=
−
80
s
q
r
t
8960
−
32
Since the square root does not simplify nicely, we can use a calculator to approximate the values of the solutions:
t
=
−
80
−
s
q
r
t
8960
−
32
a
p
p
r
o
x
5.458
The second answer is outside the reasonable domain of our model, so we conclude the ball will hit the ground after about 5.458 seconds.Step-by-step explanation:
Which statements are true about the function f(x) = –|x| – 2? Check all that apply.
The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.
Answer:
a c d f
Step-by-step explanation:
Answer:
its (c) and (d)
Step-by-step explanation:
Plz help it due In 20 mins
Answer:
Slope of line A= -1/3
B=-1
C= -5/4
Step-by-step explanation:
Use: slope m= y-y1/ x-x1
If I work at a store for $9/hour and get paid every week. How much would I make for 3 months?
Answer:
You'll be making approximately $4,320.00 after 3 months. Approximately because I assumed you have an 8-hour shift, 5 working days and 4 weeks in a month. If there are other cases like 6 working days, just replace 5 with 6 and recompute.
Step-by-step explanation:
[tex] \frac{9 \: dollars}{hour} \times \frac{8hours}{day} \times \frac{5days}{week} \times \frac{4weeks}{month} \times 3months \: = 4320 \: dollars[/tex]
Find the area of a circle with radius, r = 5.69m.
Give your answer rounded to 2 DP.
Answer:
101.66
Step-by-step explanation:
area is pi times radius times radius
pi times 5.69 times 5.69 is 101.660954
please give me a brainliest!!!<3
12 m
15 m
8 m
5 m
5 m
45 because 12+15+8+5+5=45
really simple math question, pls help
Answer:
Quadrilateral
Step-by-step explanation:
No sides are parallel so it's not a trapezoid
Help I need the answer
Answer:
Step-by-step explanation:
The graphy has got a negative slope.. running down hill.. and by 4
sooo... the last choice looks good
Put the following list of numbers in order from smallest to largest.
1. first 28.3
2. second 28.15
3. third 27.068
4. fourth 29.94
5. fifth 28.08
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .
Answer:
75 degrees
Step-by-step explanation:
I hope this helps you out!
Answer:
Step-by-step explanation:
105 degree angle
hope it helps
MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)
Answer:
b
Step-by-step explanation:
the first graph: use the points (0,1) and (4,2) to get a slope of 1/4
function b's slope is 3/4, clearly greater. so B
The scale factor from the large triangle to the small triangle is 3:1 What is the length of side x of the smaller triangle?
Answer:
10 i guess
cause
8*3=24
3*10=30
Step-by-step explanation:
Since the scale factor of the large to small triangle is 3 : 1, the side lengths of the small triangle are 1/3 of the big triangle side lengths. (such as 8 compared to 24)
Therefore 3x = 30 and x = 10.
Find the square root of 1010001 base two,leaving ur answer in base
Answer:
1001 in base 2.
Step-by-step explanation:
1010001
= 1 + 2^4 + 2^6
= 1 + 16 + 64
= 17 + 64
= 81 in base ten.
Square root of this is 9
In base 2 this is 1001
Caroline works 18 hours a week at a restaurant and earns $8.25 per hour. She also earns tips, which are 15% of her food sales. In one week, she earned $263.25.
Write an equation to find x, her total food sales for that week.
8.25 (FILL IN THE ANSWER) + (FILL IN THE ANSWER)x = 263.25
A. 0.15
B. 0.18
C. 8.25
D. 15
E. 18
Answer:
she earns 14.28 per hour and 6.75 each time.
Step-by-step explanation:
Find the slope of the graph below* Help me out ty
Answer:
-1
Step-by-step explanation:
When the line is slanting down it means its negative.
It takes 2/23 sacks of sugar to fill a canister. Each sack contains 3/4 pound of sugar. What expression can be used to solve for the number of pounds of sugar it takes to fill the canister?
Given:
1 canister = [tex]\dfrac{2}{23}[/tex] sacks of sugar
1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.
To find:
The expression that can be used to solve for the number of pounds of sugar it takes to fill the canister?
Solution:
We have,
1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.
So,
[tex]\dfrac{2}{23}[/tex] sack = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.
1 canister = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.
1 canister = [tex]\dfrac{3}{46}[/tex] pounds of sugar.
Therefore, the expression [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] is used to solve for the number of pounds of sugar it takes to fill the canister.
what is the power to 2
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.