Answer:
n>37
Move all all terms not containing n to the side of the inequality.
A skating rink changes one admission price for adults and a different admission price for children. The total admission price for a group of 4 adults and 10 children is $57. The total admission price for a group of 3 adults and 7 children is $41. What are the admission prices for an adult and for a adult?
Given:
The total admission price for a group of 4 adults and 10 children is $57.
The total admission price for a group of 3 adults and 7 children is $41.
To find:
The admission prices for an adult and for a children.
Solution:
Let the price of an adult be x and price of children be y.
According to the question,
[tex]4x+10y=57[/tex] ...(i)
[tex]3x+7y=41[/tex] ...(ii)
Multiply equation (i) by 3.
[tex]12x+30y=171[/tex] ...(iii)
Multiply equation (i) by 4.
[tex]12x+28y=164[/tex] ...(iv)
Subtract (iv) from (iii).
[tex]12x+30y-12x-28y=171-164[/tex]
[tex]2y=7[/tex]
Divide both sides by 2.
[tex]y=3.5[/tex]
Put y=3.5 in (i).
[tex]4x+10(3.5)=57[/tex]
[tex]4x+35=57[/tex]
[tex]4x=57-35[/tex]
[tex]4x=22[/tex]
Divide both sides by 4.
[tex]x=5.5[/tex]
Therefore, the price for an adult is $5.5 and price for a child is $3.5.
what’s the value for x
Answer:
53
Step-by-step explanation:
move 82 down next to (2x-8)
if 82+2x-8 is 180, x is 53
Answer:
2x-8=98
2x=106
×=53 is the right answer
Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent?
The y-intercept represents when she starts riding her bike while the x-intercept is the the time it takes her to get to her school.
How to Interpret x and y intercepts?The complete question shows us a table with time travelled being on the x-axis while distance remaining is on the y-axis.
We see from the table that at 0 minutes travelled, the distance remaining is 5500 ft. Thus, the y-intercept represents when she starts riding her bike at 0 minutes and 5500 ft left to cover.
We see also from the table that after 8 minutes covered, she has 0 ft left to travel. Thus, the x-intercept is the the time it takes her to get to her school which is 8 minutes.
Read more about Intercepts at; https://brainly.com/question/3951754
#SPJ2
Solve for x
9(x-1)=81
x=
Answer:
x=10
Step-by-step explanation:
[tex]9x-9=81\\9x=90\\x=10[/tex]
What is the solution to
2x + 8 < 3x - 4?
A) X < 12
B) X > 12/5
C) X > 12
D) X < 12/5
Answer:
A
Step-by-step explanation:
Answer:
The answer is choices C.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+8<3x−4
Step 1: Subtract 3x from both sides.
2x+8−3x<3x−4−3x
−x+8<−4
Step 2: Subtract 8 from both sides.
−x+8−8<−4−8
−x<−12
Step 3: Divide both sides by -1.
−x/-1<−12/-1
x>12
Given the following function, find f(-5), f(0), and f(3).
f(x)=x? + 3
f(-5)=
f(0) =
f(3) =
Answer:
f(-5)= -2
f(0) = 3
f(3) = 6
Step-by-step explanation:
f(x) = x + 3
f(-5) = -5 + 3
= -2
f(0) = 0 + 3
=3
f(3) = 3 + 3
=6
Can somebody help me out with this ??? please .
Answer:
Step-by-step explanation:
you have alternate angles, which are equal
6z-91=71
6z=71+91=162
z=162/6=27
z=27
y=180-27=153
find the area of Rhombus if its diagonals measure 18 cm and 21 cm
Answer:
189 cm²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × product of diagonals
= [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²
What is the range of y = x + 20?
BRAINLIEST. The formula Tn = 200 – 6n²
15 is what % of 60:(
Answer:
25%
Step-by-step explanation:
4. Find the volume for a sphere with a radius of 7 cm. Round to the nearest whole number. (1 point)
O 307 cm 3
O 1,436 cm3
O 1,020 cm 3
0615 cm
5. Find the radius of a sphere with a surface area of 804 cm (1 point)
9 cm
O 8 cm
O 64 cm
204 cm
Answer:
about 1437
about 2144
Step-by-step explanation:
i looked it up on google :)
Answer:
8
Step-by-step explanation:
what is 4.5+1.5k=18-3k
Answer: k = 3
Step-by-step explanation:
1
Combine multiplied terms into a single fraction
4
.
5
+
1
.
5
Answer:
Thr33
Step-by-step explanation:
3
What is correct?
Screenshot below
I will give out 11 points
HELP ASAP!! WILL MARK BRAINLIEST!!!
Varsha wants to stay in Bolandia City for four nights and has a choice of four hotels. She will stay at the same hotel for all four nights. She requires internet access throughout her stay and breakfast each morning.
Which hotel is the cheapest.
Need steps.
Answer:
First of all i just did this in school! <3 And second of all I WILL HELPP!!
Step-by-step explanation:
its luxuryyyyy!!!!!!!!!
-4x + 7y = 18
4x - y = -3
solve using either the substitution or elimination method
pls show solving steps
will mark brainliest
Answer:
Step-by-step explanation:
Subtract 7y7y from both sides.
-4x=18-7y−4x=18−7y
2 Divide both sides by -4−4.
x=-\frac{18-7y}{4}x=−
4
18−7y
PLEASE HELP!!!!!!!!!
Identify the type for each triangle.
(Please do not answer if you do not know so the right people get the points)
Answer:
1. isosceles
2. obtuse
3. isosceles
4. right triangle
5. right isosceles triangle
6. obtuse isosceles triangle
let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3x + 5 - x²Rewrite: (f - g)(x) = -x² + 3x + 5Given that triangle RST is isosceles, find the value of ZS
Answer:
120°
Step-by-step explanation:
[tex]m\angle S = 180\degree - 2\times 30\degree \\\\
m\angle S = 180\degree - 60\degree \\\\
\huge\purple {\boxed{m\angle S = 120\degree}} [/tex]
Identify the solution that has grouped the like terms correctly.
-2+6y+m-2y+8-4m
Answer:
C
Step-by-step explanation:
The terms with the same variable are like terms.
Question 4 (10 points)
Which sentence is written in third-person point of view? (10 points)
a
Once a small crowd of protesters, we were now an angry mob.
b
Our small crowd of protesters was now an angry mob.
c
The small crowd of protesters had turned into an angry mob.
d
Your small crowd of protesters has now become an angry mob.
Answer:
C, "The small crowd of protesters had turned into an angry mob".
Step-by-step explanation:
A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".
Answer:
c. The small crowd of protesters had turned into an angry mob.
Point of view is a way the voice sounds.
1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)
2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)
3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.
1st: My friends and I can't wait until Christmas.
2nd: You and your friends can't wait until Christmas.
3rd: Macy and her friends can't wait until Christmas.
What is the number of terms in this expression?
+4.6
Enter your answer in the box.
Answer:
joe mama
Step-by-step explanation:
I don't understand.
Answer:
symmetric is the answerAnswer:
the second choice took the test
On Thursday, 300 adults and children attended a show. The ratio of adults to children was 4 to 1. How many children attended the show?
Answer:
plz make it brainlisted
Step-by-step explanation:
Since the total is 300 and the ratio is 4:1,
Let us suppose the number of adults be 4x and children be x;
According to the question,
4x+x=300
or,5x=300
or,x=(300/5)
or,x=60
So, 60 students attended the show.
Answer:
75
Step-by-step explanation:
4:1 children meaning 1/4 of the population of 300 is 75
what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters
Answer:
We conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmStep-by-step explanation:
Given
The length of one of the side or edge of a regular octahedron = a = 4 cm
To determine
The volume of a regular octahedron = V
Using the formula to determine the volume of a regular octahedron
[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]
substituting a = 4 in the volume equation
[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]
[tex]V=\frac{64\sqrt{2}}{3}[/tex] ∵ 4³ = 64
[tex]\:\:V\:\approx \:30.17[/tex] cm
Therefore, we conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmA triangle has points: A (2,1); B (3, -3); C (-1, 0). If dilated by a scale factor of 1/2, what is point A prime?
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]
So the percentage increase was 41.2%
thank yaal for answerin ;)
Answer:
B is the answer
Step-by-step explanation:
Rigid motion they don't change shape or size just move around.
A major arc will have a measure that is
A. less than 180°
B. equal to 180°
C. greater than 180°
9514 1404 393
Answer:
C. greater than 180°
Step-by-step explanation:
Arcs are classified as "major" or "minor" depending on whether they are more or less than half a circle. A major arc is more than half a circle so is greater than 180°.
The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.
Answer:
$19.2
Step-by-step explanation:
The school mascot is rectangular in nature.
Perimeter P = 2(L+W)
L is the length = 4feet
W is the width = 12 feet
Perimeter = 2(4+12)
Perimeter = 2(16)
Perimeter = 32 feet
Convert to inches
12in = 1feet
x = 32 feet
Cross multiply
x = 12 * 32
x = 384in
Hence the perimeter of the school mascot is 384in
If it is to be completely framed using a single row of square tiles each 2inches on an edge
2 inches = 1 tiles
384inches = y tiles
Cross multiply
2y = 384
y = 384/2
y = 192 tiles
The number of tiles needed is 192 tiles
Get the cost of 192tiles
If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2
Hence the cost of the tiles needed is $19.2