Given :
The admission tickets to an exhibition at $5 for an adult and $2 for a child.
A family of 3 adults and 4 children visited the exhibition.
To Find :
What would be the charge if $50 note was used to buy the tickets.
Solution :
Charge of 3 adult ticket is, A = $( 5 × 3 ) = $15 .
Charge of 4 children ticket is, C = $( 4 × 2 ) = $8 .
Total amount to pay is :
T = $( 15 + 8 )
T = $23
Therefore, they get $( 50 - 23 ) = $27 change.
State whether the triangles are similar. If they are, write a similarity statement and the postulate or theorem you used.
Given: m∠R = 29° and m∠T = 29°
Answer: Correct option: B. ΔQRS ≈ ΔUTV, SAS
Step-by-step explanation:
IN the given triangles (ΔQRS and ΔUTV),
m∠R = 29° and m∠T = 29° (given)
[tex]\dfrac{QR}{UT}=\dfrac{16}{8}=2\\\\\dfrac{SR}{VT}=\dfrac{64}{32}=2\\\\\therefore\dfrac{QR}{UT}=\dfrac{SR}{VT}[/tex]
By SAS similarity rule , ΔQRS ≈ ΔUTV .
Correct option: B. ΔQRS ≈ ΔUTV, SAS
The SAS similarity theorem says that if 2 sides in a triangle are proportional to 2 sides in another triangle and the included angle in both are congruent, then the 2 triangles are similar.
6. Moira has a canvas that is 8 inches by 10 inches. She wants to paint a line diagonally from the top left corner to the bottom right corner. Approximately how long will the diagonal line be? show work
Answer:
12.8in
Step-by-step explanation:
Pythagorean theorem
8^2 + 10^2 = c^2
64 + 100 = 164 = c^2
C= 12.8in
Answer:
from fithagorh the line =
[tex] \sqrt{10 ^{2} + 8 ^{2} } = \sqrt{164} = 12.961 \: inch[/tex]
example of 12 hours and 50 minutes add 8 hours 46 minutes step by step yarr please urgent tommorow is my paper
Answer:
21:36
Step-by-step explanation:
add the hours
add the minutes
if minutes are 60 or more
subtract 60 form minutes
and add 1 to hours
complete the equation of the line whose y-intercept is (0,5) and slope is -9
y= ???
1 1/2k + 1/2 (18 + 16k)
help pls
Answer:
[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]
I don't understand. Please Help Me!
Answer:
what
Step-by-step explanation:
how do I write the expression using exponents.8⋅w⋅w⋅w⋅w
Answer:
8w^4
Step-by-step explanation:
hope this helps!
Find the area of the composite figure. Write just the answer in the blank.
Answer: 297 yd
Step-by-step explanation:
You need to find the area of the rectangle and triangle then add both areas together to find the total area of the composite figure.
Area of rectangle: 12 x 18 = 216
Area of triangle: 81
A = 1/2bh
A = 1/2 x 18 x 9
A = 81
Total area of composite figure: 216 + 81 = 297
What is the equation of the line that passes through the point (2, -2) and has a
slope of -1/2?
Answer:
Step-by-step explanation:
use the point-slope formula [y-y1 =m(x-x1) ] with the given info
for the point P=(x1,y1) =(2,-2) and the slople m = -1/2
plug those into the formula
y-(-2)= -1/2(x-2)
y+2= -1/2x + 1
y= -1/2x+1 - 2
y = -1/2x - 1
:) got it?
these are hard untill you get the idea of the two formulas
point-slope: y-y1 = m(x-x1) and
slope-intercept: y= mx+b
memorizing those will help a lot
7% of what length is 200 feet
Answer:
Roughly 2857.14
Step-by-step explanation:
Answer:
2857.14285714 feet.
Step-by-step explanation:
If we put your question into an equation, we get:
7/100 * n = 200
We multiply both sides by 100 to get rid of the fraction, and get:
7n = 20000
Then, to find n, we divide both sides by 7.
Therefore,
n = 2857.14285714.
please helppppp. i don’t get it and the teacher doesn’t explain it.
Answer:
1. 22
2. 12
3. Sorry, I'm unable to solve for 3.
4. 5
Step-by-step explanation:
AB is congruent to AD so let's solve the equation:
[tex] \: \: \: \: \: \: \: \: \: \: \: 8x - 2 = 6x + 4 \\ \frac{ - 6x \: \: \: \: \: \: \: \: \: \: \: = - 6x}{2x - 2 = 4} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 2 = + 2}{ \frac{2x}{2} = \frac{6}{2} } \\ x = 3[/tex]
☆Now we plug in for AD.
[tex]AD \\ 6x + 4 \\ 6(3) + 4 \\ 18 + 4 \\ 22[/tex]
---------------
m<CED is on a right angle, that angle equal 90 degrees.
[tex]7x + 6 = 90 \\ \frac{ \: \: \: \: \: \: - 6 = - 6}{ \frac{7x}{7} = \frac{84}{7} } \\ x = 12[/tex]
-----------
#4. You can do the Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {4}^{2} + {3}^{2} = {c}^{2} \\ {16} + 9 = {c}^{2} \\ \sqrt{25} = {c}^{2} \\ 5 = c[/tex]
------------
The number line represents −4 1/2+3 1/4. What is the sum?
Answer:
C
Step-by-step explanation:
Rbrberbrb
Answer: Its c
=- 1 1/4
Find the slope intercept equation of the line
Answer:
I know that the y-intercept is 5
Step-by-step explanation:
because the line goes through 5
Answer:
y = -4/5x + 5
Step-by-step explanation:
You need the equation y = mx + b
the y intercept is 5 which is b
You just need to pick any point on the line and use those coordinates to plug into the equation for x and y to solve for the slope (m)
I will use point (5, 1)
So plugging in that coordinate and the value for b in the equation
y = mx + b is (1) = m(5) + 5
Solve for m m= -4/5
so plug m and b back into the equation y = mx + b
is
y = -4/5x + 5
R IN Complete the following statement. The quotient of 5 = A is equal to the quotient of A +5. А. B C D E O== 0 1 NEXT QUESTION O ASK FOR HELP
A=5 and 0=5A is there answer
A cone has a radius of 6 inches and a Hight 11 inches what is the volume of the cone.
Answer:
about 414.69
Step-by-step explanation:
Use the equation πr^2(h /3)
r = radius
h = height
You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$13.25
$14.68
$21.74
$25.69
Answer:
21.74
Step-by-step explanation:
15 is ______% of 400 part, percent, whole?
Answer:
15 is 3.75% of 400
Step-by-step explanation:
Hi there!
First we divide 15 by 400 to get 0.0375.
To find the percentage, more the decimal point two spaces to the right.
This would become 3.75
That’s your percentage!
Hope this helped!
PLEASE HELP ASAP I WILL GIVE YOU THANKS BRAINIEST.
Answer:
subtracting 2 from 5 is not possible in first step
so. D. subtract 5 and 3 is the correct option
Step-by-step explanation:
2 can't be subtracted from 5 here because 2 is multiplied by (x- 7)
Evaluate the expression: −(8 − 12) + 60 + (−4)2
Answer:
Step-by-step explanation:
here you go mate
step 1
−(8 − 12) + 60 + (-4)2 Equation/Question
step 2
−(8 − 12) + 60 + (-4)2 simplify
-(-4)+60+(-4)(2)
4+60+(-4)(2)
64+(-8)
answer
56
The value of the given expression −(8 − 12) + 60 + (−4)² will be 80.
What is the arithmetic operator?Arithmetic operators are operators in mathematics where basic four operators involve. Addition, multiplication, division, and subtraction.
Addition = addition of two or more numbers or variable
For example =3 + 4
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example =8 - 9
Division = divide any two numbers or variable called division.
For example 7/3
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 4.
Given,
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
Hence "The value of the given expression −(8 − 12) + 60 + (−4)² will be 80".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ5
Write 270g as a fraction of 1.5kg
Answer:
9:50
Step-by-step explanation:
270/1500
divided by 10
27/150
divided by 3
9:50
Based on the graph, if Joe earned $400, how many hours did he work?
3x3z−6z for z=5 solve pllllsslssss
Pls help urgently extra points and mark brainlist
Answer:
You got it right it is the second option
Step-by-step explanation:
I'm trying to level up and need 3 more brainliest so if possible can you mark me brainliest if not that's ok! :)
Answer: the last one
Step-by-step explanation:
what is the answer for 4+3x=-56
Answer:
x=-20
Step-by-step explanation:
3x=-56-4
3x=-60
x=-20
What is greater 0.5 , 0.41 , or 3/5
Answer: 3/5
Step-by-step explanation:
If you turn 3/5 into a decimal, you’ll see that it would be 0.6 so this is greater than the other two
Stephen gathered data about the average rainfall in two cities. He organized his data in the showing graph.
Answer: B and R
Step-by-step explanation:
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS! .
Answer:
D.) 12
Step-by-step explanation:
16x - 3(4x + 5) = 2x + 9
16x - 12x - 15 = 2x + 9
4x - 2x = 15 + 9
2x = 24
2x/2 = 24/2
x = 12
Check:
16x - 3(4x + 5) = 2x + 9
16(12) - 3(4(12) + 5) = 2(12) + 9
192 - 3(48 + 5) = 2(12) + 9
192 - 3(53) = 24 + 9
192 - 159 = 33
33 = 33
Write an equivalent expression 2x + 10
Answer: 2 (x+5)
Step-by-step explanation:
Answer:
x+5
Step-by-step explanation:
If x=3y substitute the value of x into expression simplify 3x+6
Answer:
(3y)3+6
Step-by-step explanation:
solve the inequality
x + 0.7 > -0.3
Answer:
x=4.23606797,−0.2360679
Step-by-step explanation:
sorry if im wrong