Answer:
x = 2
y = 5
Step-by-step explanation:
We can say:
7 corresponds to y
(3 + 7.5) corresponds to 7.5
Plus, we can write a ratio
[tex] \frac{7}{y} = \frac{3 + 7.5}{7.5} [/tex]
[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]
Cross multiplying, we can solve for "y",
[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]
[tex] \frac{7}{y} = 7 \times 7.5[/tex]
y = 5
Again, using similarly, we can say:
(x + 5) corresponds to 5
(3 + 7.5 = 10.5) corresponds to 7.5
We can write a ratio:
[tex] \frac{x + 5}{5} = \frac{10.5}{7.5} [/tex]
Cross multiplying and with the help of a but algebra, we can solve for "x", shown below:
7.5( x + 5) = 5 x 10.5
7.5x + 37.5 = 52.5
7.5x = 15
x = 2
4.62 +3-3.6z =
Answer plssss
Answer:
z = 2.12
Step-by-step explanation:
4.62 +3 - 3.6z = 0
7.62 - 3.6z = 0
-3.6z = -7.62
z = 2.12
m<3+m<5=180 true or false
Answer:
False.
Step-by-step explanation:
what is the solution to the system of equations x-y=5 and 3x+7y=-5
Answer:
Step-by-step explanation:
3(x-y)-3x-7y=3(5)-(-5)
3x-3y-3x-7y=15+5
-10y=20
y=-2, since x-y=5
x-(-2)=5
x+2=5
x=3
So the solution is the point (3,-2)
What is the image of the point (-7,-8)(−7,−8) after a rotation of 270^{\circ}270 ∘ counterclockwise about the origin?
The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
What is counterclockwise ?
Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.
According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:
(x', y') = (-y, x)
where (x, y) is the original point and (x', y') is the new point after the rotation
Plugging in the values from the given point, we get:
(x', y') = (-(-8), -7)
Simplifying this expression, we get:
(x', y') = (8, -7)
Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
To know more about counterclockwise visit:
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A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
If one figure is translated, rotated and dilated to create its image, the two figures will be __________ .
Group of answer choices
translation
congruent
similar
opposite
PLEASE ANSWER ASAP
Find the area of the triangle 4ft 1ft 8ft please answer need help ASAP thank you ☺️
Answer:
16
Step-by-step explanation:
Answer: 16 ft
Step-by-step explanation:
1/2 = divided by 2)
sameyalingareddy avatar
Area of A Triangle formula: b*h*1/2
4/2=2. 2*8=16
A wheel is made of a circular rim and 8 spokes as shown.
The length of each spoke is 37cm
WORK OUT THE TOTAL LENGTH OF THE RIM AND SPOKES.
Answer:
528.6
Step-by-step explanation:
find the circumference of the circle using:
πd: 22/7*74
add the length of the 4 strokes: 37*8
add the two:
Answer:
528.48cm
Step-by-step explanation:
Total length of all the spokes
37cm*8 = 296cm
Length of the circular rim
2πr = Circumference
2(37)π = 74π
74π = 232.48cm
Overall Length
232.48cm + 296cm = 528.48cm
help! parallel, perpendicular, or neither?
Answer:
parallel
Step-by-step explanation:
Because a is pependicular to k
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-6
Step-by-step explanation:
find the greatest Common factor Of the Monomials 14p^2, 21pq and 35q2 is?
Please Help :(
Answer: the greatest common factor is 7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Select all the expressions that are equal to 1/2. ( --- is a minus sign just so you know)
O 18/20 --- 4/10
O 1/8 + 2/3
O 4/12 + 1/6
O 7/8 ---1/4
O 12/15 ---3/5
Answer:
first one, and third one
the system of equations y=-3x+2 and y=2x-6 is shown on the graph below.
Answer:C
Step-by-step explanation:
4w2 + 3W
- 1
5w - 2
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Question:
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Step-by-step explanation:
Given
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Required
Determine an expression for the area
Area is calculated as:
[tex]Area = Length *Width[/tex]
[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]
Expand
[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]
Collect like terms
[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck
Jenny's great-grandmother is 86 years old. Jenny is 11 years old. What percent of Jenny's great-grandmother's age is Jenny's age
Answer:
12.79%
Step-by-step explanation:
Let :
Great grand mother = 86 years
Jenny = 11 years
Let the percentage = x
x % of great grandmother's age = Jenny's age
x% * 86 = 11
x/ 100 * 86 = 11
86x / 100 = 11
86x = 100 * 11
86x = 1100
x = 1100/86
x = 12.79
x = 12.79%
A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.
9514 1404 393
Answer:
3r +5c = 60
6r +4c = 80
Step-by-step explanation:
There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.
Let r and c represent the costs of a record and a CD, respectively.
3r +5c = 60 . . . . . . . the value of the first purchase
6r +4c = 80 . . . . . . . the value of the second purchase
These equations comprise a linear system describing an aspect of the situation.
_____
Comment on the question
The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).
GEOMETRY HELP WILL MARK BRAINLIEST!!!!
Answer:
x = 20°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
x + 160 = 180
x = 20°
Please help me!!!! I will give brainliest!
Hey there!
The correct answer is 40 customers.
To solve this we can set up the following equation:
36 = .9x
(How I like to remember this is "36 = 90% of what")
Now, we solve. Divide both sides by .9:
40 = x
Have a terrificly amazing day! :D
Write an inequality for the statement the temperature is greater than 100°F
Pls help im already failing and i really dont understand this
Answer:
B. 9.99 + 1.29n [tex]\leq[/tex] 50
Step-by-step explanation:
The inequality of [tex]\leq[/tex] means less than or equal to. Her limit is $50. She has already spent $9.99. Therefore if $1.29 is the cost each song, then n is the number of songs she can afford below the cost of $50.
5 1 point > 키 Angles x and y are complementary in the diagram shown. 1 2 Z X 3 35° у 4 What is the measure, in degrees, of angle z? 5 Type your answer... 5
Answer:
∠z = 55°
Step-by-step explanation:
90° - 35° = 55°
Write a unit rate for the situation. Situation: 150 students in 6 classrooms Unit rate: __ students per classroom
how do you find the range of 0.3 0.9 0.2 0 0.7 0.9 0.4
Add or Subtract to simplify
Answer:
3. - 8n² -8n + 3
Step-by-step explanation:
(4n^4 - 8n +4) - (8n² + 4n^4 +1)
Firstly, open the brackets.
= 4n^4 - 8n +4 - 8n² - 4n^4 - 1
Now, group like terms.
= 4n^4 - 4n^4 - 8n² -8n - 1 + 4
4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4
= - 8n² -8n - 1 + 4
= - 8n² -8n + 3
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Answer:
384 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
The volume of the rhombus is
V = Base × height
where,
B = D₁D₂ ÷ 2
= (6)(8) ÷ 2
= 24 units squared
Now the volume of the prism is
V = (24)(16)
= 384 cubic units
Answer:
384 cubic units
Step-by-step explanation:
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
help please !!!! (will give brainliest)
Above are Joe’s bank account records. What is Joe’s ending balance? Please help
Answer:
$425
Step-by-step explanation:
475 - 50 = 425
What expression could be used to evaluate 9/10-1/6