Answer:
Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]
Step-by-step explanation:
Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].
To find: amount of money each student paid in terms of [tex]W[/tex]
Solution:
Cost of each present [tex]=\$W[/tex]
Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]
Cost of a card [tex]=\$200[/tex]
Therefore,
Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card
[tex]=\$3W+\$200[/tex]
One diagonal of the kite is three times as long as the other diagonal. If the area of the kite is 48 square meters, what is the length of each diagonal?
Given:
One diagonal of the kite is three times as long as the other diagonal.
The area of the kite is 48 square meters.
To find:
The length of each diagonal.
Solution:
We know that, the area of the kite is:
[tex]A=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.
It is given that, one diagonal of the kite is three times as long as the other diagonal.
Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:
[tex]A=\dfrac{3d_2d_2}{2}[/tex]
[tex]A=\dfrac{3d_2^2}{2}[/tex]
The area of the kite is 48 square meters.
[tex]\dfrac{3d_2^2}{2}=48[/tex]
[tex]3d_2^2=2(48)[/tex]
[tex]d_2^2=\dfrac{96}{3}[/tex]
[tex]d_2^2=32[/tex]
Taking square root on both sides, we get
[tex]d_2=\sqrt{32}[/tex] [It is only positive because side length cannot be negative]
[tex]d_2=4\sqrt{2}[/tex]
Now,
[tex]d_1=3d_2[/tex]
[tex]d_1=3(4\sqrt{2})[/tex]
[tex]d_1=12\sqrt{2}[/tex]
Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.
¿Como resuelvo esta equación? Necesito ayuda.
2x·(1-x)= x-6
Answer:
x=-3/2 x=2
Step-by-step explanation:
2x(1-x)=x-6
2x-2x^2=x-6
subtract x from both sides
add 6 to both sides
x-2x^2+6=0
reorganize
-2x^2+x+6=0
factor
2x+3=0
x-2=0
solve both
2x+3=0
2x=-3
x=-3/2
now the other one
x-2=0
x=2
Sorry, I don't speak spanish.
A gift box has dimensions of: 8 1 2 inches, 5 1 2 inches, and 2 1 2 inches, respectively. how many cubes with side lengths of 1 2 inches would be needed to fill the gift box?
Number of 1/2-inch cubes length-wise = 8 1/2 ÷ 1/2 = 17
Number of 1/2-inch cubes width-wise = 5 1/2 ÷ 1/2 = 11
Number of 1/2-inch cubes height-wise = 2 1/2 ÷ 1/2 = 5
Number of 1/2-inch cubes = 17 x 11 x 5 = 935
------------------------------------------------------------
Answer: 935 1/2-inch cubes are needed.
------------------------------------------------------------
Ali, Ben and Cathy share an amount of money in the ratio 6 : 9 : 10 What fraction of the money does Ben get?
there are 6+9+10=25 equal parts, so Ben has 9/25 of the total.
A survey of 100 high school students provided this frequency table on how to show students to get to school
Answer:
4/10
Step-by-step explanation:
40 students drive
There are 100 students
40/100 = 4/10
Answer:
2/5
Step-by-step explanation:
HELPPPPP PLZ ITS 6TH GRADE MATH
20b−2b+3b+x
Answer:
21b+x
Step-by-step explanation:
Answer:21b+x
Step-by-step explanation:
i got u
Find the length of the missing side.
a= in
b= in
c= in
80
Step-by-step explanation:
you take the square root of 82 squared minus 18 squared
Is x+y is an algebraic expression?
1. Yes
2. No
3. Cannot be identified
4. None of these
I will mark the brainiest for the correct answer!!
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
Answer:
Hey!
The X Value is 3, while the Y value is 6. In other words, it looks like this:
3, 6
Step-by-step explanation:
Hey!
The X Value is 3, while the Y value is 6. In other words, it looks like this:
3, 6
Answer:
(0.5,1.5)
Step-by-step explanation:
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
Gary’s soccer team plays 12 games in a season. Each game is 45 minutes long. His older brother, Hector, plays the same number of games, but each of his games lasts twice as long. How many minutes does Hector’s team play each season? Write and solve equations.
Answer:
1080 minutes
Step-by-step explanation:
12x45: garys team
45x2=90 : hector's team
12x90=1080
CONGRUENT FIGURES
EACH SET OF SHAPES ARE CONGRUENT. FOR CACH SIDE OR
ANGLE LISTED BELOW CACH BLANK. WRITE THE
CORRESPONDING SIDE OR ANGLE TO CREATE YOUR CODE. Plz for the love of God help me this is so so over due
Answer:
p-o
u-t
e-l
s-d
r-w
b-z
a-n
Step-by-step explanation:
Find a formula for the nth term
of the arithmetic sequence.
First term 2.5
Common difference -0.2
An = [? ]n +
CAN SOMEONE PLEASE HELP ME I REALLY NEED HELP I HAVE TWO MINUTES LEFT!!
Answer:
d is the ans
Step-by-step explanation:
D is the answer
Consider this right triangle determine whether each equation is correct. Select yes or no for each equation
Answer:
where is the question?
Step-by-step explanation:
I don't see anything If he then " consider this right triangle determine whether each equation is correct select yes or no for each equation"
Please help and also include an explanation so I know how you got the answer.
Answer:
x = 15
Step-by-step explanation:
We know that 4x° + 8x° make a straight angle of 180°.
4x° + 8x° = 180°
12x° = 180°
12x = 180
x = 180/12 = 15
Answer:
x=15
Step-by-step explanation:
I gotcha bro
The line C is straight and straight lines are 180°
so 180° = 4x + 8x = 12x ----> 180 = 12x ---> then divide both sides by 12
180/12 = 15 and 12x/12 = x
so 15 = x or x = 15
Help me please! I need to get this done to go outside :(
Answer:
98ft.
Step-by-step explanation:
Question is asking for the total square feet of laminate wood to cover the entire retail store. Add all the sides together to get your answer.
Si tuvieras que formar un cuadrado de 196 baldosas cuadradas iguales, ¿Cuantas deberías poner en cada fila?
Answer:
Respuesta. entonces como respuesta deben colocarse 14 filas por 14 columnas de baldosas para que quede un cuadrado. SALUDOS!
How many ounces are in 1 pint?
find the standard deviation of: 141, 116, 117, 135, 126, 121
Answer:
Please see photos for simplified result
Step-by-step explanation:
Assist me, it’s a word problem, are their any smart people? NO LINKS OR I WILL REPORT
Answer:
vertex: (-2,7)
Focus: (-2, [tex]\frac{27}{4}[/tex])
Axis of symmetry: x = -2
Directrix: y = [tex]\frac{29}{4}[/tex]
Step-by-step explanation:
simplify the expression below. (x^25)^-5/(x^-3)^48
What is the ratio for sin A?
3/4
3/5
4/5
4/3
What is the area of triangle ABC in the simplest terms?
please answer fast! calculate the value of x. C is center of the circle. (attached image)
find the measurement indicated in the parallelogram
Answer:
m(∠W) = 114°
Step-by-step explanation:
By the property of a parallelogram,
"Opposite angles of a parallelogram are equal in measure"
By this property,
m(∠W) = m(∠U)
9x + 15 = 4 + 10x
15 - 4 = 10x - 9x
x = 11
Therefore, m(∠W) = 9x + 15
= 9(11) + 15
= 99 + 15
= 114°
Measure of angle W is 114°.
Huilan's age is two times Thomas's age. The sum of their ages is 21 . What is Thomas's age?
Answer:
Thomas age is 7
Step-by-step explanation:
X + 2x =21
3x=21
x=7
Place the numbers 40 and 100 into the proportion. (Whole)(percents) ----------- (Part) what goes where?
Answer:
Step-by-step explanation:
Hard to tell how the question should read.
40/100 = 40%
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Proportion means writing in fraction form as numerator and denominator.
40/100 = 40%
The proportion of 40 and 100 is 40%.
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have.
40 and 100.
Proportion means writing in fraction form as numerator and denominator.
So,
If we write 40/100 we get 40%.
This means 40 out of 100.
Thus,
40/100 = 40%
The proportion of 40 and 100 is 40%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ5
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
А. The lines intersect at one point.
В. The lines are parallel
C. The lines are the same line.
D. The lines cannot be graphed.