An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his 6 nephews and rented five pairs of ice skates.
He was charged $32. Juanita paid admission fees for her seven grandchildren and rented 5 pairs of ice skates. She was charged $35.25. What is the admission fee?
What is the rental fee for a pair of skates?
Answer:
if we let admission fee per child to be a and the rental fee for the skates to be s.
Then john 6a + 5s =32
Juanita 7a + 5s = 35.25
Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.
6a + 5s = 32
7a + 5s = 35.25
we get -a + 0s = -3.25 therefore a= 3.25
Then we can solve for s by substituting a in either of the two equations
6 (3.25) + 5s =32
19.5 + 5s =32
5s = 12.5
s = 12.5/5
s = 2.5
Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.
Step-by-step explanation:
plss help me with this:(((((
The answer for the first question is A
The answer the second question is D
Step-by-step explanation:
so, let's look at the options.
A. (x+3)/x = 3
that hurts already by just looking at it.
but let's check anyway :
x + 3 = 3x
3 = 2x
and that is only true for one value of x (3/2), but not in general.
so, this is wrong.
B. (x²+5)/5 = x² + 1
x² + 5 = 5x² + 5
x² = 5x²
that is only true for one value of x (0), but not in general.
so, this is wrong.
C. (2x+7)/(2x+9) = 7/9
9(2x+7) = 7(2x+9)
18x + 63 = 14x + 63
4x = 0
that is only true for one value of x (0), but not in general.
so, this is wrong.
D. (-5x - 10)/(x+2) = -5
-5x - 10 = -5(x + 2) = -5x - 10
now this is true in all cases, so this is correct.
make simple :
(a² - 4a + 4) / (a² - 4)
with a little bit of experience you see right away that
a² - 4a + 4 = (a - 2)²
as we know from the generic squaring
(a - b)² = a² - 2ab + b² : a perfect fit.
and
(a² - 4) = (a + 2)(a - 2)
as we know from the generic factor multiplying
(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.
so, the given expression is actually
(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))
and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :
(a - 2) / (a + 2)
and that is answer A
helpp pleaseeeeeeeeee
i need help, I need to find the answer to my math problem, The question is "what is 2+2" im struggling, Please help ASAP. Thank You.
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Thx for the points:) have a nice day
I do this do y'all can get extra point and complete challenges!
What is 3 + 3
Answer:
6
Step-by-step explanation:
3 + 3 = 6
Answer:
6 hehe
Step-by-step explanation:
Jane has 125 pairs of shoes if she's worn 20% of her shoes how many pairs has she worn
How do i find the slope-intercept form for 6x=8y+10
Answer:
y = 3/4x - 5/4
Step-by-step explanation:
6x=8y+10
Well you must first get your equation set up into the form called "Slope intercept."
6x=8y+10
Add 8y on both of your sides because your y is suppose to be alone.
8y + 6x = 10
Subtract 6x on both sides since it is in fact the opposite of addition.
8y = 6x + 10
Now, you will divide by 8 on both sides. When doing this your y will be alone.
y= 6/8x + 10/8
Note: You can leave it like this but you want to probably simplify.
y = 3/4x + 5/2
or
y = 3/4x - 5/4
(Hope this helps can I pls have brainlist (crown)☺️)
In a population of 128 people, 45 have curly hair, 66 have straight hair, and 17 have no hair. What is the probability of randomly choosing someone with curly hair or no hair?
Keenan worked at an ice cream shop. One day, he counted the first 8
flavors requested. Here are the results:
Ice Cream Flavors
Count
Flavor
peach
3
o
vanilla
chocolate
1
coffee
4
Supposing these trends continue, how many of the next 6 requests will
be for coffee?
Answer:
2
Step-by-step explanation:
correct me if i'm wrong
la la la
Joe is making a rectangular frame in woodshop class. The length of the frame is 2 inches
longer than the width of the frame. The perimeter of the frame is 24 inches. Write an
equation that could be used to determine w, the width in feet, of the frame.
Answer: The width is 5.
Step-by-step explanation:
'(2+w)+(2+w)+2w=24
4+4w=24
W=5
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
6) Slope = -3, y-intercept = 3
7) Slope = -4, y-intercept = 5
Answer:
6) y= -3x+3
7) y= -4x+5
Step-by-step explanation:
can someone help me please
Answer:
Step-by-step explanation:
One
The exterior angles of a triangle add up to 360. You know two of them. Therefore you can find w.
125 + 90 + w = 360 Combine like terms on the left
215 + w = 360 Subtract 215 from both sides
w = 360 - 215 Combine
w = 145
Two.
The polygon has 4 exterior angles. They too should add up to 360.
88 + x + 108 + 115 = 360 Combine the left had side
x + 311 = 360 Subtract 311 from both sides
x = 360 - 311 Combine
x = 49
What have you learned? You should notice that all polygons have exterior angles that add up to 360
HELP GIVING BRAINLIEST (NO LINKS) 50 POINTS
Expression A: 2(x + 1)
Expression B: 2x + 2
which statement does not show that these expressions are equivalent
A.subsitiuting any value of x makes the expressions equivalent
B. Both expressions involve addition
C. The expressions name the same number regardless of the value of x
D. 2(x +1) can be rewritten as 2x + 2 using the distributive property
Answer:
B. Both expressions involve additionStep-by-step explanation:
A. Substituting any value of x makes the expressions equivalent
FalseB. Both expressions involve addition
True. Both expressions involve multiplication tooC. The expressions name the same number regardless of the value of x
FalseD. 2(x +1) can be rewritten as 2x + 2 using the distributive property
FalseThe surface area of a cylinder is 1 m2. What could its radius and its height be?
Step-by-step explanation:
2.5m is the answer god bless you make me bfai list
The required height would be 2 meters in the given cylinder.
What is the surface area of a cylinder?A cylinder's surface area is defined as the amount of specific relevance by the horizontal plane of the cylinder's bases and the curved surface of the cylinder. The overall surface area of the cylinder includes the area of the cylinder's two circular bases as well as the area of the curving surface.
The surface area of the cylinder is: A = 2πr(r+h)
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
The surface area of a cylinder is 50.24 m² and its radius is 2 m.
⇒ A = 2πr(r+h)
Here A = 50.24 m² and r = 2 m
⇒ 50.24 = 2(3.14)(2)(2+h)
⇒ 50.24 = (12.56)(2+h)
⇒ 50.24 /(12.56) = (2+h)
⇒ 4 - 2 = h
Therefore, the required height would be 2 meters in the given cylinder.
Learn more about the surface area of a cylinder here :
https://brainly.com/question/14827013
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The question seems to be incomplete the correct question would be
The surface area of a cylinder is 50.24 m² and its radius is 2 m. What could its height be?
Please help me with this geometry work, its very confusing! Picture provided! Please help ASAP
i’m not sure how to do this question could some help me as soon as possible
Answer: 729
Step-by-step explanation:
i don’t get the question which makes it harder for me to answer
Answer:
See below:
Step-by-step explanation:
As there doesn't appear to be a full question, I guess you want me to tell you the definition of complementary.
Complementary and Supplementary angles are when angles make up 90 degrees or 180 degrees respectively, the order being:
+ Supplementary Angles are angles that add up to 180 degrees
+ Complementary Angles are angles that add up to 90 degrees.
So in this context, it means that the sum of the degrees of angles 9 and 10 are equal to 90 degrees.
Cheers!
Can someone please tell me how to subtract 1 3/8 by 3/4
Please help!
Answer:
2 1/8
Step-by-step explanation:
In order to subtract two fractions with unlike denominators, you have to bring them to THE SAME denominator. You can do that by multiplying both the numerator and denominator of 3/4 by 2 (so it can have a denominator of 8) to get 6/8. Then, simply add 1 3/8 and 6/8 by combining the numerators and keeping the denominators the same. You should get 1 9/8 which is, as a mixed number, 2 1/8
Katie has 4 1/2 ponds of flour. She uses 3/4 of it to bake brownies. How much flour does she need to make brownies? Basically I need to know if I divide or multiple?
Answer:
1/3 and you divide
Step-by-step explanation:
41/2 = 9/2
3/4 ÷ 9/2
3/4 ×2/9 = 6/18
6/18 = 1/3
Answer:
Step-by-step explanation:
Okay. 4 and 1/2 simplifies to the improper fraction, 9/2. And 3/4 of it would mean we MULTIPLY it by the total, 9/2 pounds. (Whenever we see OF, we know that the operation is multiplication.) I think that you can do the rest from here, but I'll include a solution at the bottom if you still need help.
...
(9/2)*(3/4)=(9*3)/(2*4)=27/8=3 and 3/8 pounds of flour used to make brownies.
Hope this helps! Good luck! :)
En una panadería, con 80 kg de harina hacen 120 kg de pan. ¿Cuántos kilos de harina serían necesarios para hacer 360 Kg de pan?
Answer:
240 kg
multiplica 360 con 80 y luego dividelo por 120. Que equivale a 240, o divide 120 por 80 que te da 1.5 y multiplicalo por 240 que equivale a el total 360 Kg
[tex](3a^{3} -7b^{3} )^{2}=[/tex]
Answer:
Step-by-step explanation:
1.02 = _____ hundredths
how many 2/3's are in 4/5
Step-by-step explanation:
4/5 + 2/3 = 2215 = 1 715 ≅ 1.4666667. Spelled result in words is twenty-two fifteenths (or one and seven fifteenths).
Answer:
5/10's
Step-by-step explanation:
Trust me bro
Mallika and Kishore have the same numbser o marbles. To have 100 marbles they must pool their marbles together and then gset 30 more. " which equation represents the above relationship?
Number of marbles with Mallika = x
Number of marbles with Kishore = x (same number of marbles)
To get 100 marbles = x + x + 30
=》x + x + 30 = 100
2x + 30 = 100
2x = 100 - 30
2x = 70
x = 70/2
x = 35
■ Final answer =》Mallika & Kishore both have 35 marbles each.
■ Equation =》2x + 30 = 100
■ Equation type =》Linear equation in 1 variable
______
Hope it helps ⚜
The equation for the given situation will be;
⇒ 2x + 30 = 100
Where, 'x' is represent the number of marbles.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Mallika and Kishore have the same number of marbles.
And, To have 100 marbles they must pool their marbles together and then get 30 more.
Now,
Since, Mallika and Kishore have the same number of marbles.
Hence, Let the number of marbles = x
So, We can formulate;
⇒ x + x + 30 = 100
⇒ 2x + 30 = 100
⇒ 2x = 100 - 30
⇒ 2x = 70
⇒ x = 35
Thus, Number of marbles each have = 35
And, The equation for the given situation will be;
⇒ 2x + 30 = 100
Where, 'x' is represent the number of marbles.
Learn more about the mathematical expression visit:
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Does the following relationship represent a function?
A. Yes
B. No
Compounds A and B are used in an experiment. The equation y=1200(12)x represents the remaining amount of compound A, in grams, after x minutes. The table shows the remaining amount of compound B. Time (min) Grams of B 1 750 2 375 3 187. 5 What is the positive difference in the initial amount of each compound? Enter your answer in the box. G.
Answer:
Yamete Kodasai
Step-by-step explanation:
Thankyou sa pnts
As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:
3 traditional country songs
6 traditional rock songs
4 hip-hop rap songs
5 contemporary country songs'
1 Latin rap song
3 traditional pop songs
What is the probability that the player will select some rap music next?
Answer:
the probability will be 18.18%
140 grams of almonds cost $3.5. Mechael needs almonds for the dish she is preparing. How much she has to pay for 500 grams of almonds cost?
Answer:
$12.5
Step-by-step explanation:
140 divided by 7 is 20, since 20 is a factor of 500, it will make it easier. Since we divided the 140 grams by 7, we also have to divide the $3.5 by 7, which will get you$0.5. 20 times 25 is 500, so you will also time the $0.5 by 25 which will get you $12.5
Hi i need the answer to this asap please
2 divided by 3
please explain how you got answer like show work
please do not answer in decimal form or the answer from go ogle
and please dont just answer for points
A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0. 4 hours. James thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2. 5 hours. Which of the following is the most restrictive level that would validate his claim? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.
Answer:
1%
Step-by-step explanation:
0.4X2.5=1
Find the values of m for which the equation
x^2 +2mx + 9 = 0 has no real roots
Answer:
Interval notation for m: (-3,3)
Inequality notation: -3<m<3
In words: Anything between -3 and 3 without including either -3 or 3.
Step-by-step explanation:
If we want no real roots then b^2-4ac must be less than 0.
a=1
b=2m
c=9
These values were found by comparing your equation to ax^2+bx+c=0.
b^2-4ac<0 is what we are trying to satisfy
(2m)^2-4(1)(9)<0
4m^2-36<0
Divide both sides by 4:
m^2-9<0
Add 9 on both sides:
m^2<9
m^2<9 when m<3 and m>-3.
Interval notation (-3,3).