The museum decided to showcase an amazing collection of glass figurines in 9 different rooms. The director of the exhibit plans to place the same number of figurines in the each room. What fraction of the collection will appear in 7 of the rooms?
Let there are x glass figurinesin room. as museum decided to showcase in total 9 different room as total number of glass figurines are:
[tex]9 \times x = 9x[/tex]
Determine the number of glass figurines in 7 rooms.
[tex]7 \times x = 7x[/tex]
The total collections is of 9x glass figurines.
In 7 rooms the collections appear is 7x.
Determine the fraction of collection that will appear in 7 rooms.
[tex] \frac{7x}{9x} = \frac{7}{9} [/tex]
So, the answer is 7/9.
Taking As x
_________
9 different room as total number of glass figurines are:
[tex]9 \times x = 9x[/tex]
The number of glass figurines in 7 rooms
[tex]7 \times x = 7x[/tex]
_________________
Total Collection Of 9 glasses figurines= 9x
7 room collection = 7x
_________________
Fraction of collection of 7 rooms by 9 glasses figurines
[tex] \huge \frac{7x}{9x} \\ \\ \\ \\ \huge = \frac{7}{9} [/tex]
So the fraction is [tex] \frac{7}{9}[/tex]
Hope This Helps You ❤️Write the square roots of 49 i in ascending order of the angle.
Answer:
The square roots of 49·i in ascending order are;
1) -7·(cos(45°) + i·sin(45°))
2) 7·(cos(45°) + i·sin(45°))
Step-by-step explanation:
The square root of complex numbers 49·i is found as follows;
x + y·i = r·(cosθ + i·sinθ)
Where;
r = √(x² + y²)
θ = arctan(y/x)
Therefore;
49·i = 0 + 49·i
Therefore, we have;
r = √(0² + 49²) = 49
θ = arctan(49/0) → 90°
Therefore, we have;
49·i = 49·(cos(90°) + i·sin(90°)
By De Moivre's formula, we have;
[tex]r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )[/tex]
Therefore;
√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))
∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))
√(49·i) = ± 7·(cos(45°) + i·sin(45°))
The square roots of 49·i in ascending order are;
√(49·i) = - 7·(cos(45°) + i·sin(45°)) and 7·(cos(45°) + i·sin(45°))
for brainiest:):):):):):):):)
Answer:
Step-by-step explanation:
original price = 20
Given f(x) = 1/3(4 – x)^2 ,
what is the value of f(16)?
Answer:
48
Step-by-step explanation:
Plug in 16 to the function:
f(16)=1/3(4-16)^2
=1/3(-12)^2
=144(1/3)
=48
A restaurant sells 96 breakfast meals a day. If
75% of the breakfast meals are pancakes, how
many orders of pancakes does the restaurant
sell each day?
Answer:
72 pancakes
Step-by-step explanation:
The question basically asks you to:
Find 75% of 96
We can do this, by competing:
[tex]\frac{75}{100}[/tex] x 96 = [tex]\frac{3}{4}[/tex] x 96 = 3 x 24 = 72
Hope this helps.
Which figure is described below?
The points in a plane equidistant
from the endpoints of PQ.
A. ray
B. plane
C. 2 circles
D. line
Answer:
It’s a line
Step-by-step explanation:
The figure that is described below is D. A line
What is a Line?This refers to the one-dimensional figure that has a length but does not have any width.
Hence, we can see that from the described figure, it is said that the points in a plane are equidistant from the endpoints of PQ, this shows that a line is being described because it is one-dimensional.
Read more about lines in a plane here:
https://brainly.com/question/1655368
#SPJ6
A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 61 feet tall. Which equation could
be used to find x, the average number of feet the tree grew each month?
A. 5x + 16 = 61
B.16x + 5 = 61
C. 61x + 5 = 16
D. 16x + 61 = 5
Answer:
B
Step-by-step explanation:
PLEASE HELP ME
A student bought 24 pencils for every 16 markers. The number of pencils bought is directly proportional to the number of markers.
What is the constant of proportionality that relates the number of pencils to the number of markers?
5/3
2/3
3/2
3/5
Please help me. I don’t understand matrices
Answer:
A. [tex]\orange {\begin{bmatrix} 4 & 11 \\ 3 & 0 \end{bmatrix}} [/tex]
Step-by-step explanation:
[tex] A= \begin{bmatrix} 5 & - 8 \\ 3 & 0\end{bmatrix} \: and \: B= \begin{bmatrix} 2 & - 9 \\ 1 & 0\end{bmatrix} [/tex]
[tex]\therefore 2A= 2\begin{bmatrix} 5 & - 8 \\ 3 & 0\end{bmatrix} \: and \: \: 3B= 3\begin{bmatrix} 2 & - 9 \\ 1 & 0\end{bmatrix} [/tex]
[tex]\therefore 2A= \begin{bmatrix} 10 & - 16 \\ 6 & 0 \end{bmatrix} \: and \: \: 3B= \begin{bmatrix} 6 & - 27 \\ 3 & 0\end{bmatrix} [/tex]
[tex]\therefore 2A-3B= \begin{bmatrix} 10 & - 16 \\ 6 & 0 \end{bmatrix} - \begin{bmatrix} 6 & - 27 \\ 3 & 0 \end{bmatrix} [/tex]
[tex]\therefore 2A-3B= \begin{bmatrix} 10-6 & - 16-(-27) \\ 6-3 & 0-0 \end{bmatrix} [/tex]
[tex]\therefore 2A-3B= \begin{bmatrix} 4 & - 16+27 \\ 3 & 0 \end{bmatrix} [/tex]
[tex]\huge \red {\therefore 2A-3B= \begin{bmatrix} 4 & 11 \\ 3 & 0 \end{bmatrix}} [/tex]
1. If a basketball player makes 9 baskets in 12 tries, what is her ratio of baskets to tries, in lowest terms?
2. At the next game, the player has the same ratio of baskets to tries. If she tries 20 times, how many baskets should she make?
3. At the third game, she still has the same ratio of baskets to tries, This time she makes 12 baskets. How many times did she probably try?
Answer:
1. 3:4
Step-by-step explanation:
The ratio of baskets to tries is 3/4, 15 basket was made in 20 tries and 12 basket in 16 tries
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1) . If a basketball player makes 9 baskets in 12 tries, hence:
Ratio of baskets to tries = 9/12 = 3/4
2) For 20 tries:
Number of basket = (3/4) * 20 = 15
3) For 12 basket:
Number of tries = 12 / (3/4) = 16
The ratio of baskets to tries is 3/4, 15 basket was made in 20 tries and 12 basket in 16 tries
Find out more on equation at: https://brainly.com/question/2972832
HELPPPPPPPPPPPP MEHHHHHHHHHHHHHHHHHHHHHHHHH PLZZZZZZZZZZZZZZZZ GRADES GO OUT TOMMORROW AND I NEED THIS SO I CAN GET MY GRADE UP FROM A D+ PLZZZZZZZZ MY PARENTS WILL MURDER ME
Answer:
Call child abuse
Step-by-step explanation:
so you dont die kid
Answer:
2,3
4,3
3,3
4,5
5,4
6,7
8,8
8,9
Today, everything at a store is on sale. The store offers a 20% discount. Write an expression that shows the discount price of an item that costs x dollars.
Answer:
0.8x dollars
Step-by-step explanation:
Answer:
Step-by-step explanation:
80%*x = 0.8x
The two lines graphed on the coordinate grid each represent an
equation.
7.
6
5
4
2
6514
2
1
3
-
Which ordered pair represents a solution to both equations?
A.
(-4, 3)
B. (-3,-4)
C. (-4,-3)
D. (4, -3)
Need
9514 1404 393
Answer:
C. (-4, -3)
Step-by-step explanation:
The point where the lines cross is the solution to both equations. That point is in the third quadrant, where both coordinate values are negative.
The x-coordinate of the point is listed first, so the solution is ...
(x, y) = (-4, -3)
Mrs. Valdez created a scatter plot that showed the number of days a student was absent compared to the student's grade average in class.
Answer:
I believe it's the last one... "The association is linear based on the overall pattern"
If y=x+2 then what is the slope and the y intercept?
Answer:
y-intercept is (0, 2) and the slope is 1
Pls answer quickly I need this is ten min
Answer:
65
Step-by-step explanation:
taht is the answer, 65
Write the equation of the line that passes through (5.-9) and (2.5).
Answer:
y = -14/3x + 43/3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-9) / 2 - 5
14 / -3
- 14/3
y = -14/3x + b
5 = -14/3(2) + b
5 = -28/3 + b
43/3 = b
y = -14/3x + 43/3
For the data set below, which of the
following measures is greatest?
(2, 2 , 2 , 4 , 6, 8 , 12 ,20)
A . Mean
B . Median
C . Range
D . Mode
Erik states that the two cones below have the same volume because of Cavalieri’s principle. 2 cones are shown. The first cone has a radius of r, a slant length of c, and a height of b. The second cone has a radius of r, a height of a, and a slant length of b. Is Erik’s statement correct? Why or why not? Yes, the solids are both cones and appear to have the same volumes. Yes, the area of the bases and the heights of the cones are the same, so the volumes are equal. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.
Answer:
D. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.
Step-by-step explanation:
Correct on Edge.
Answer:
The person above me is correct but the option is C.
PLEASE HELP ME ASAP
Answer:
Look below
Step-by-step explanation:
(a)
The Pythagorean Theorem is a^2+b^2=c^2. In this case. a=10, b=y, and c=2+y.
So, [tex](2+y)^{2}=10^{2}+y^{2}[/tex].
(b)
Using the equation (2+y)^2=10^2+y^2, solve for y.
(2+y)^2=10^2+y^2Square it, 4+4y+y^2=100+y^2Subtract y^2, 4+4y=100Subtract 4, 4y=96Divide by 4, [tex]y=24[/tex].351 students in 27 classes _____ students in each class
Answer:
13
Step-by-step explanation:
351 divided by 27 = 13
The Alps in Europe are an example of folded mountains. How do folded mountains form? O A. Magma rises to Earth's surface at a plate boundary. O B. Continental plates slip past each other. O O C. A block of crust tilts between two faults. о O D. Crust buckles due to pressure of colliding plates.
help plz
Answer:
its D
Step-by-step explanation:
Your salary is $105,000 per year.
6. What is your gross monthly income?
Answer:
You gross monthly income is $8,750
Step-by-step explanation:
All you have to do is divide 105,000 by 12 months.
105,000 / 12 = 8,750
So, the answer is 8,750 dollars.
Hope this helps! :)
What is the value of x in the equation below?
One-third (12 x minus 24) = 16
2
6
8
10
Answer:
X=2
Step-by-step explanation:
Using distributive property: 1/3(12x-24)=16
4x- 8=16
Using oposite oporations on both sides:
4x-8=16
4x+8=16-8
4x=8
8/4=2
x=2
can I have brainliest please
Answer:
a
Step-by-step explanation:
Find the value of y,
96
66
Answer:
the answer is y=48
Step-by-step explanation:
you divide the arc by 2 if it's an inscribed angle
Answer: 48
Step-by-step explanation: 96/2
A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the
triangle? Explain your reasoning.
Answer:5 and 3
Step-by-step explanation:
you can multiply 5x3 to get 15
Is (4, 3) a solution of the graphed inequality?
find the measure of angle b (imagine below)
Answer:97 °
Step-by-step explanation:
83° & b° are a supplementary angle, meaning that they equal 180°. So:
83 + b = 180
b = 97°
I need help with this ASAP. Can you tell me what goes in what box.
Answer:
answers
Step-by-step explanation:
2 and 3rd
Choose the inequality that represents the following graph.
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The arrow is pointing to the right which means its greater than, and the circle is open so it doesn't include 4