Using a system of equations, it is found that the cost of a paint set is of $19.50.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: cost of a paint set.Variable y: cost of a sketchbook.Variable z: cost of a brush.Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:
x + y + z = 32.50.
The sketchbook cost half the cost of the paint set, hence:
y = 0.5x.
The brush cost one third of the sketchbook, hence:
z = 0.3333(0.5x) = 0.1667x.
Then, to solve for x:
x + y + z = 32.50
x + 0.5x + 0.1667x = 32.50
x = 32.50/1.6667
x = 19.50.
The cost of a paint set is of $19.50.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
I need help. Find the ratio of the trig function.
Answer:
tanΘ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
tanΘ = [tex]\frac{opposite}{adjacent}[/tex]
the opposite side requires to be found.
let the opposite side be x then using Pythagoras' identity in the right triangle
x² + 12² = 20²
x² + 144 = 400 ( subtract 144 from both sides )
x² = 256 ( take square root of both sides )
x = [tex]\sqrt{256}[/tex] = 16
then
tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]
Find the outer perimeter of this figure.
Round your answer to the nearest hundredth.
Use 3.14 to approximate .
12.2 ft.
10 ft.
6 ft.
14 ft.
P = [?] ft.
Answer:
61.90
Step-by-step explanation:
12.2+14+14+6=46.2
of semi circle
circumference of semi circle = [tex]\pi[/tex]d
[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]
semi circle so divide by 2 = 5[tex]\pi[/tex]
5[tex]\pi[/tex] = 15.7
46.2 + 15.7 = 61.9
Please help, I am bad at Trig
Answer:
the correct answer is A, thats when cos of ttheta is
The blue dot is at what value on the number line?
Answer:
I believe it would be -20 because the number line values skip by 2 or 3 each skip.
Find x. A) 3 B) 3.75 C) 4.25 D) 5
Answer: B
Step-by-step explanation:
By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.
ABCD is a parallelogram. Determine the measure of ∠B.
The measure of the ∠B of given parallelogram is 362 - 42x
In the above question, a figure which is known as Parallelogram is given, where the following angles are given :
Measure of ∠A = 6x + 14
Measure of ∠C = 9x - 7
Measure of ∠D = 17x + 5
We need to find, the measure of the ∠B
From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B
Now,
∠A + ∠B + ∠C + ∠D = 360
16x + 14 + ∠B + 9x - 7 + 17x + 5 = 360
∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)
∠B + 42x = 360 - (-2)
∠B = 362 - 42x
Hence, the measure of the ∠B is 362 - 42x
To learn more about, parallelogram here
https://brainly.com/question/1563728
#SPJ1
Answer:
56 degrees
Step-by-step explanation:
Just did the Imagine Math
g(x) = x² + x
Evaluate g (a)
Reviewing for up and coming final please help
Answer:
g(a) = a² + a
Step-by-step explanation:
g(x) = x² + x
put x = a
:- g(a) = a² + a
[tex]g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)[/tex]
2. Determine the principal that will earn $294 in 5 years at 6% per annum simple interest.
Answer:
state the formula which is S.I =P×T×R
inserts a digit to make numbers that are divisable by 24 if its possiable 38_36
Answer:
168
Step-by-step explanation:
this net can be folded to make a square pyramid. what is the surface area of the pyramid
Answer:
[tex]85in^2[/tex]
Step-by-step explanation:
to find the surface area we need to find the followng areas:
area of the square area of a triangle and multiply it by 4 (because there are 4 triangles)And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
[tex]a_{square}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]
thus the area of the square is:
[tex]a_{square}=(5in)^2[/tex]
[tex]a_{square}=25in^2[/tex]
Area of the triangles:
the are of 1 triangle is given by
[tex]a_{triangle} =\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)
and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]
thus, the area of 1 triangle is:
[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]
[tex]a_{triangle} =\frac{30in^2}{2}[/tex]
[tex]a_{triangle} =15in^2[/tex]
the area of the 4 triangles is (we multiply by 4):
[tex]a_{4-triangles}=4(15in^2)[/tex]
[tex]a_{4-triangles}=60in^2[/tex]
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
[tex]Surface=25in^2+60in^2[/tex]
[tex]Surface=85in^2[/tex]
x^2+9=0? I need to find the solutions
Answer:
[tex]x=\pm 3i[/tex]
Step-by-step explanation:
[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]
Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).
pls answer the question i am mark in brainlist
Answer:
x = -2
Step-by-step explanation:
Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]
1. Cross-multiply
(x + 3)(x + 8) = (x + 5)(x + 4)
2. Distribute
⟹ (x + 3)(x + 8) = (x + 5)(x + 4)
⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)
⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20
3. Combine like terms
⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20
⟹ x² + 11x + 24 = x² + 9x + 20
4. Subtract x² from both sides
⟹ x² - x² + 11x + 24 = x² - x² + 9x + 20
⟹ 11x + 24 = 9x + 20
5. Subtract 24 from both sides
⟹ 11x + 24 - 24 = 9x + 20 - 24
⟹ 11x = 9x - 4
6. Subtract 9x from both sides
⟹ 11x = 9x - 4
⟹ 11x - 9x = 9x - 9x - 4
⟹ 2x = -4
7. Divide both sides by 2 to isolate the variable
⟹ 2x ÷ 2 = -4 ÷ 2
⟹ x = -2
1. A rectangular pool is 8 yards long, 6 yards wide, and 5 feet deep. Convert the measurements of the length and width to feet.
Answer:
19
Step-by-step explanation:
Look at ivan’s check register. ivan spent $158.29 on groceries. he then transferred $250 to his savings account. a check register. a is the amount debited for groceries. d is the amount debited for a transfer. the letter represents where the amount of $158.29 should be written. the letter represents where the amount of $250 should be written.
The letter A represents where the amount of $158.29 should be written.
The letter D represents where the amount of $250 should be written.
What is a Cash Register?This refers to the automated machine that is used to handle cash transactions and also for making calculations.
Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.
However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.
Read more about check registers here:
https://brainly.com/question/27155313
#SPJ4
Answer:
A and D
Edge 2022
Find the area of the triangle
PLEASE HELP WILL GIVE BRAINLEST! What is the amplitude of the function graphed below?
Answer:
The amplitude is the highest point that the curve reached
Which is in your case = 2
A rectangle has an area of 48
48
square feet and a length of 12
12
feet.
Which answer choice shows the correct way to find
w
, the width of the rectangle?
CLEAR CHECK
12×==484 feet 12×w = 48 w = 4 feet
48−==1236 feet 48−w = 12 w = 36 feet
12×48==576 feet 12×48 = w w = 576 feet
2+24==4812 feet
Identify the terms, coefficients, and constants in the expression 20x+13.
Answer: coeficient is 20 and the constant which is 13
Step-by-step explanation:
1. Which of the following measures would NOT produce a triangle? Choose all that apply.
three sides: 3 cm, 5 cm, and 7 cm
three sides: 5 cm, 7 cm, and 9 cm
three sides: 5 cm, 9 cm, and 15 cm
three sides: 3 cm, 5 cm, and 10 cm
Answer:
I believe the answers are :
5 cm, 9cm, and 15 cm
3 cm, 5 cm, and 10 cm
Step-by-step explanation:
When 2 sides that are not the hypotenuse are added and are less than the hypotentuse, a triangle cannot be formed.
x2 + 3x + 1 = 5. know the answer but need to understand how?
Answer:
[tex]x=-4,\: x=1[/tex]
Step-by-step explanation:
[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]
Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.
5x + 12= 6x - 36
I’m bored
Answer:
x = 48
Step-by-step explanation:
5x + 12 = 6x - 36 ( subtract 6x from both sides )
- x + 12 = - 36 ( subtract 12 from both sides )
- x = - 48 ( multiply both sides by - 1 )
x = 48
Step-by-step explanation:
______________________5x + 12 = 6x - 36
5x + 12 - 6x = - 36
- x = - 36 - 12
- x = - 48
Now change the sign of both side of the equation...
x = - ( - 48)
x = 48...
______________________A triangle has sides with lengths of 25 kilometers, 60 kilometers, and 61 kilometers. Is it a
right triangle?
yes
no
pls help me find all missing sides and angles. ;-;
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180° , then
∠ BAC + 51° + 90° = 180°
∠ BAC + 141° = 180° ( subtract 141° from both sides )
∠ BAC = 39°
using the tangent ratio in the right triangle
tan51° = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{12.8}[/tex] ( multiply both sides by 12.8 )
12.8 × tan51° = AC , then
AC ≈ 15.8 ( to 1 dec. place )
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12.8}{AB}[/tex] ( multiply both sides by AB )
AB × cos51° = 12.8 ( divide both sides by cos51° )
AB = [tex]\frac{12.8}{cos51}[/tex] ≈ 20.3 ( to 1 dec. place )
Write'15 cubed' as a power.
Answer:
[tex]15^{3}[/tex]
Step-by-step explanation:
[tex]15^{3} =(15)(15)(15)=3375[/tex]
Hope this helps
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT!!!!
Answer: It should be 4 11/15 gallons.
Step-by-step explanation:
I multiplied both of the amounts.
Graph the parabola.
y=(x+1)^2-3
Answer:
tap on the picture to see.Step-by-step explanation:
that should help
Answer:
I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2
Step-by-step explanation:
Hope this helps! ;-)
how do I answer this question
Answer:
x = 4
Step-by-step explanation:
-x + 6 = 0.5x
1.5x = 6
x = 4
which company would cost the most to serve 300 students
Answer:
Company "A"
Step-by-step explanation:
its the highest line on the graph from the 300 point.
i cant find the height to the area!!! THE SHAPE IS A TRIANGLE
area is 21.9
the base is 6
and the height is x
Answer:
x = 7.3
Step-by-step explanation:
area = base × height / 2
21.9 = 6 × x / 2
43.8 = 6x
x = 7.3
Answer:
7.3
Step-by-step explanation:
The formula to find the area of a triangle is (1/2)(a)h = A.
Replace the variable h (height) with x.
Isolate the x variable (height) in order to find the height value.
(1/2)(6)x = 21.9
3x = 21.9
x = 21.9/3
x = 7.3
I need help with this problem
Answer:
a = -4
Step-by-step explanation:
(a + 2)/2 = - 1
a+2 = -1 * 2
a = - 2 - 2
a = -4
Answer:
-2.5
Step-by-step explanation:
soo your objective is to make a alone
first remove the denominator
a+2 / 2 = -1
a + 2 = -1/2
now minus 2 to both sides
a = -1/2 - 2
a = -2 1/2
