Answer:Steven used 9 $0.02 stamps and 6 $0.10 stamps
Step-by-step explanation:
let number of $0.02 stamp be =x
let number of $0.10 stamp be =y
so that the number of stamps used can be expressed as
x+y=15
and the total price of stamps used equaling $0.78 be expressed as
0.02x + 0.10y =0.78
Solving
x+y=15----1
0.02x + 0.10y =0.78---2
from equation 1 , x =15-y, putting the value of x into equation 2
0.02(15-y) + 0.10y =0.78
0.3 -0.02y + 0.10y = 0.78
0.3 + 0.08y=0.78
0.08y=0.78-0.3
y=0.48/0.08 =6
y =6 stamps
Putting bthe value of y =6 into equation 1
x+6=15
x=15-6 =9
Steven used 9 $0.02 stamps and 6 $0.10 stamps
A scale drawing of Mike's rectangular room is 2 inches by 5 inches. The scale is 1 inch = 4 feet.
Enter the area, in square feet. of Mike's room.
Answer:
160ft sq
Step-by-step explanation:
2x4=8
5×4=20
20x8=160
What is the area of the circle? I need help please!
Answer: 78.5
Step-by-step explanation:
Use the spinner to find the theoretical probability of spinning a 1 and then a 2. Round answer to the nearest hundredth. A spinner is divided into 9 equal sections. Starting from the top right and moving clockwise direction, the regions are labeled 1,2,3,4,5,6,7,8, and 9. The spinner pointed at near the boundary line of 3.
Answer:
1/18
Step-by-step explanation:
yur welcome
A number of dimes and quarters are worth $2.55. If the number od dimes and quarters were interchanged the resulting new amount would be $2.70. How many of each kind of coin were there before the interchange?
Answer:
8 dimes
7 quarters
Step-by-step explanation:
Let number of
Dimes = x ; quarters = y
10x + 25y = 255 ___(1)
25x + 10y = 270 ___(2)
From (1)
10x = 255 - 25y
x = (255 - 25y) / 10
x = 25.5 - 2.5y
Put x = 25.5 - 2.5y in (2)
25(25.5 - 2.5y) + 10y = 270
637.5 - 62.5y + 10y = 270
-52.5y = - 367.5
y = 367.5 / 52.5
y = 7
x = 25.5 - 2.5(7)
x = 25.5 - 17.5
x = 8
This graph represents the distance a train traveled over a 20-hour time period. Approximately
how far has the train traveled after 1 hour? After 4 hours?
1: After 1 hour 50 miles, after 4 hours 150 miles
2: After 1 hour 20 miles, after 4 hours 100 miles
3: After 1 hour 25 miles, after 4 hours 100 miles
4:After 1 hour 25 miles, after 4 hours 150 miles
Find the solution to the system
of equations.
PLEASE HELP ASAP RNNNN
Answer:
Step-by-step explanation: b I think
I need help with this.
Answer:
(3z+15) cm
Step-by-step explanation:
Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.
Anastasia has been accepted into a 4- year University as an architect student. She was offered a scholarship of $17,800 per year. The cost per year is $17,400 in tuition and fees, $10,350 for room and board, and 850 for books. What would the cost be after attending school for four years?
Answer:
256,800 I believe
Step-by-step explanation:
you add up all the numbers and multiply by 4
ASAP PLEASE HELP!!!!
2 Question 9
Help I’ll give Brainly est
Answer:
it c
Step-by-step explanation:
What are the solutions for 4x^2+81=36x
What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK
Answer:
z=7
Step-by-step explanation:
3z+5=4z-2
5=4z-2-3z
5=z-2
5+2=z
7=z
z=7
What is the length of the missing side? 7 and 12
Answer: 9.75
Step-by-step explanation:
if the missing side is the leg of the triangle. 13.89 if missing side is the hypotenuse
Emmy baked 18 cookies with 3 scoops of flour. With 4 scoops of flour, how many cookies can Emmy bake? Assume the relationship is directly proportional.
Step-by-step explanation:
For 3 scoops = 18 cookies
Lets use the unitary method,
So for 1 scoop, how many cookies?
So, 18 /3 = 6
So, 1 scoop = 6 cookies
So for 4 scoops we will multiply by 6 (as 1 scoop = 6 cookies)
So, 4 x 6 = 24
So, 24 cookies can be made if we add 4 scoops of flour
4 scoops = 24 cookies
Please, help! Help! Help!
Answer:
HOW DO I ANSWER THIS
Step-by-step explanation:
A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DEF for the bases of the other prism.
(a)Is △ABC similar to △DEF? Explain.
(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? SHOW YOUR WORK FOR BRAINLIEST!!
Answer:
a)
Verify is the corresponding sides have same ratio:
AB / DE = 50/60 = 5/6 BC / EF = 20/24 = 5/6Since the ratios are same, the triangles are similar
b)
If one dimension is same, the base areas will make difference by the square of the scale factor:
(6/5)² = 1.44 timesCan someone please help me with this math problem please:):)
Answer:
y = 126° + 29° = 155°
Step-by-step explanation:
I think this may be a solution:
126°+29°=155°
So, y=155°
Please help I will give brainlyest!!!
If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object?
Answer:
cylinder
Step-by-step explanation:
Answer
cylinder!!
Step-by-step explanation:
so the points "(1, 1), (1, 4), (3, 4) and (3, 1)" they are all positive so this makes this easier tbh so it looks like this once u put them on a grah
. .
. .
its a rectangle then it says to rotate on y = 1 which u look at the graph u just put this rectangle on its side like this
. .
. .
so then look at the answer options
A.) Cone
B.)Cylinder
C.)Sphere
D.)Pyramid
so it CANT be A bc 1 its a rectangle and if it was a cone it would have 3 points, not 4, bc it would be a triangle
It can be B bc on a graph it will be 2D and a Cylinder has 4 points on a graph(in 2D) which the problem is telling you to make something 2D into something 3D...and is a rectangle in 2D
It CANT be a C bc in 2D it would be a circle and straight up, a square isnt a circle, and the points on the problem is a square ant there would be so many points to put down if it was a circle
It CANT be a D bc once again this would be a triangle and that would have 3 points, or maybe 5(if your looking overhead of the Pyramid where u can see all 4 corners, like a square then the middle point) so a square has all equal sides, rectagle does not, it has 2 and 2 equal sides. 2 sides being small and paralell, and 2 long sides being parallel.
:) have a good day
btw answer is
cylinder!!The graph of a quadratic function is shown below. An equation that represent the function could be. Explain how you got your answer
Answer:
option 4
Step-by-step explanation:
option 2 and 4 are the more closest options but option 2 is a graph function between the negative numbers, so the answer is option 4.
how do the two examples differ in their approach to similar subject matter? A example 2 presents the steps for proper tongue care in a detached way, while example 1, reminds us that the tongue is an organ that we rarely take as seriously as we should
Answer:
It's B
Step-by-step explanation:
Kensington charges $20 per hour, h, teaching music lessons. Last year, Kensington earned $37,705, including tips, t. Given this information, which of the following equations can be used
the amount Kensington made in tips last year?
Of=37705 + 20h
O t = 37705 - 20h
Ot=37705h + 20
O = 37705h - 20
Answer:B-t=37705-20h
Step-by-step explanation:The answer is B because you need to get rid of all of the money she made working so you subtract 20 by how ever many hours she has worked
Answer:
Second option : t = 37705 - 20h
Step-by-step explanation:
I took the test
On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5). What is the area of triangle GHJ? 5 square units 6 square units 7 square units 12 square units
Answer:
B: 6 units
Step-by-step explanation:
just took the test
The area of triangle GHJ is 6 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the area of triangle GHJ, we can use the formula:
Area = (1/2) x base x height
where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.
We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.
In this case,
We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).
To find the height of the triangle,
We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.
Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.
Also,
The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.
The area of triangle GHJ is:
Area = (1/2) x base x height
Area = (1/2) x 3 x 4
Area = 6 square units
Thus,
The area of triangle GHJ is 6 square units.
Learn more about triangles here:
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What is the difference of the two expressions?
(
3
7
+ 9) − (
2
7
− 3)
Answer:
22
Step-by-step explanation:
Simplify the expression
May someone please help me with this?
What is the measure of angle CBD? ° What is the length of segment CD? cm Which trigonometric ratio can be used to compare BC to CD using angle CBD? What is the approximate length of BC? cm What is the approximate length of BD? cm
Answer:
Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1. For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.
2. Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.
3. The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).
4. The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.
5. The approximate length of BC can be determined as,
Tan(54°)=CD/BC
BC = CD/Tan(54°)
BC = 8.719 cm
6. The approximate length of BD can be determined using the Pythgorus theorem,
BD² = CD² + BC²
BD = 10.5835 cm
Learn more about Trigonometric functions:
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I need help btw i am in middle school
NAHHHHHH THATS 4TH GRADE MATH HOLLL UP
Answer:
1 is 2/5 youre correct
2 is 1/3
3 is 2/3
4 is 3/5
hope this help
Consider the following polynomial:
-2a^3b^2+5ab^5+7b4+8
What is the degree, leading coefficient, constant, and leading term of this polynomial?
*(Can you please show or tell me step by step on how u got there, please)
Answer:
degree: 5
leading coef: 5
constant: 8
leading term: 5ab^5
Step-by-step explanation:
degree is highest exponent leading coef is number in the term w highest exp, constant is the number with no variables attached and leading term is term w highest exp
Find the out put, y, when the input, x, is 30.
y= 14 - 0.5x
Answer:
-1
Step-by-step explanation:
Just substitute 30 for x in y = 14 - 0.5x:
y = 14 - 0.5(30) = 14 - 15 = -1
How do I solve 3x-5>0 ? Can someone explain please
Answer:
Find my Answer attached.
Step-by-step explanation:
9514 1404 393
Answer:
x > 5/3
Step-by-step explanation:
In general, inequalities are solved the same way that equations are: undo what is done to the variable. (Whatever you do to one side of the inequality, you must also do to the other side.)
If you were to evaluate this inequality for some value of x, you would ...
multiply by 3subtract 5When solving for x, you undo these operations in reverse order. You undo the "subtract 5" by doing "add 5" to both sides of the inequality:
3x -5 +5 > 0 +5
3x > 5
You undo the "multiply by 3" by doing "divide by 3" to both sides of the inequality:
(3x)/3 > 5/3
x > 5/3 . . . . . . . the solution
__
Additional comment
The only difference between solving an equation and solving an inequality is that multiplication or division by a negative number reverses the comparison symbol.
Consider -1 > -2. When this is multiplied by -1, it becomes 1 < 2, with the comparison reversed.
__
As you can see, as long as multiplication and division are with positive numbers, the actual comparison symbol doesn't matter:
3x -5 > 0 ⇒ x > 5/3
3x -5 = 0 ⇒ x = 5/3
3x -5 < 0 ⇒ x < 5/3