Step-by-step explanation:
[tex] \frac{56}{4 } = \frac{x}{1} [/tex]
[tex]cross \: multiply[/tex]
[tex]4x = 56[/tex]
[tex]divide \: both \: sides \: by \: 4[/tex]
[tex] \frac{4x}{4} = \frac{56}{4} [/tex]
[tex]x = 14[/tex]
Therefore 1 balloon would make 14 grams float.
PLEASE MARK BRAINLIEST.
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
sara had 51 stickers and her dad had 13 stickers how many are in all
Answer:
64
Step-by-step explanation:
Answer:
64!
Step-by-step explanation:
(50 + 10) + (1 + 3)
(60) (4)
60 + 4 = 64!
Will mark brainlist plz anwser
Answer:
1,740 is the width.
Each student at school is given 7 folders on the first day of school. The number of folders
provided to students could be expressed as 7n (where n = number of students)
a) If there are 120 students in the school, the number of folders would be ___x__=____folders.
PLEASE HURRRY!!!!!!!!!!!!!
22+2y
hope it helps you ❣❣Mark me as brainliest
Answer: 11 + (2 + Y) type that in and submit
Which one is for inverse tangent?
Answer:
A
Step-by-step explanation:
i looked at my chart
Answer:
A
Step-by-step explanation:
A farmhouse shelters 15 animals. Some are goats and some are ducks. Altogether there are 42 legs. How many of each animal are there? Use the variable g to represent goats Use the variable d to represent ducks
Part A: Create a system of equations that can model this scenario.
Part B: Solve the system of equations Algebraically
Answer:g+d=152
g+2d=30
4g+2d=42
4g+2d-(2g+2d)=42-30
4g+2d-2g-2d =12 2g. =12
g=6
d+6=15
d=15-6
d=9
6 goats and 9 ducks
The number of animals are 6 goats and 9 ducks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Number of farmhouse shelters=15
Total number of legs=42
Now,
Part A:
Let's use g to represent the number of goats and d to represent the number of ducks in the farmhouse.
We know that there are 15 animals in total, so:
g + d = 15
We also know that goats have 4 legs and ducks have 2 legs, and there are a total of 42 legs:
4g + 2d = 42
Part B:
We can solve this system of equations algebraically by using substitution or elimination.
Substitution Method:
Solve for one variable in terms of the other in one equation, and substitute into the other equation.
Solve for the remaining variable.
From the first equation, we know that:
g = 15 - d
Substitute g = 15 - d into the second equation:
4g + 2d = 42
4(15 - d) + 2d = 42
60 - 4d + 2d = 42
-2d = -18
d = 9
So there are 9 ducks in the farmhouse.
To find the number of goats, substitute d = 9 into g = 15 - d:
g = 15 - 9
g = 6
Therefore, by the unitary method the answer will be 6 goats and 9 ducks
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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the equations in the triangle consist of (2x +1) and (5x +5)
Will Give Brainliest if Correct
Answer:
35
Step-by-step explanation:
Law of cosines
c^2=a^2+b^2-2ab(cos(A))
14^2=11^2+8^2-2(11)(8)Cos(A)
A=93.5833
Law of Sines
Sin(A)/a=Sin(B)/a
Sin(93.5833)/11=Sin(B)/8
B=34.7719
In AMNP, what is sin M?
12
P
M
5
13
N
Answer:
A
Step-by-step explanation:
triangle ez ez and yes i am smart big brain
Please help!!!!!
Billy and Susie were saving up to buy the new Xbox. Billy got $50 for his birthday and saved $20 each week. Susie already had $25 and saved $40 each week. Write a system of equations to describe this situation.
Answer:
50+ 20x= y
25+ 40x= y
Explanation:
For Billy and Susie, the starting values are $50 and $25. You simply add that to the money saved per week ($20 and $40).
x= number of weeks
A family decided to add a garage onto the side of their house as shown in the picture below. Let x represent the increase in feet of the garage length. The total area can be represented by the expression 20(x + 45). Write the expanded form of this expression to represent the total area of the house and the garage.
Answer:
75
Step-by-step explanation:
87+79=75
Jayla and Hailey were paying a dinner check, but they were not sure how much they should tip for their bill of $25.50. If a 12% tip is standard, about how much should they leave for the server?
Answer:
tip total $4
tip per person $2
total (bill plus tip) $29.
total each person $15
Step-by-step explanation:
Triangle ABC is shown below.
What is the length of line segment AC?
07
A
09
2x
3x - 7
O 14
18
B
4x - 10
с
Answer:
14
Step-by-step explanation:
3x-7=2x(isosceles triangle)
x=7
AC=3(7)-7=21-7=14
The length of the side AC in the given triangle is 14 units.
What is a triangle?A polygon with three sides, angle and vertex is called a triangle.
Given is a triangle ABC, with sides, AB = 2x, AC = 3x-7 and BC = 4x-10,
We need to find the length of AC,
According to the figure, ∠B ≅ ∠C, therefore, according to the theorem of triangles, that sides opposite to congruent angles are congruent,
Therefore, AC = AB
2x = 3x-7
x = 7
AC = 3(7)-7
AC = 14
Hence, the length of the side AC in the given triangle is 14 units.
Learn more about triangle, click;
https://brainly.com/question/2773823
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the perimeter of a rectangle is 32 feet. the length is 3x the width. what is the length? what is the width.
Answer:
The length is 8
The width is 8
Answer:
Step-by-step explanation:
this is about algebra, and my calculus prof. says that all people struggle with algebra, so work on it :D
P = 32 ( the total )
use the formula
P = 2L + 2W
but we are told that L =3W also sooo put that into L
P = 2(3W ) + 2w
32 = 6W + 2W
32 = 8W
4 = W
so width is 4
and length is 12
:)
The block of ice used to weigh 152 pounds, but
now it only weighs 26.2 pounds.
Answer:
The block of ice probably melted. Is this a question or a statement?
Step-by-step explanation:
Circles C and D overlap. The distance from point C to point D is 7 centimeters. What is the sum of the areas of circle C and circle D? 7Pi units squared 14Pi units squared 49Pi units squared 98Pi units squared
Answer:
98π cm²
Step-by-step explanation:
A circle is a plane figure. A circle is the locus of a point such that its distance from a given point is always constant.
We can see that both circle C and circle D are equal with a radius of 7 cm.
Area of circle C = π* radius² = π * 7² = 49π cm²
Area of circle D = π* radius² = π * 7² = 49π cm²
The sum of the areas of circle C and circle D = Area of circle C + Area of circle D = 49π + 49π = 98π cm²
Answer:
c
Step-by-step explanation:
(I’m marking brainliest) plzzz help me out!!!
Answer:
14, 16, 18, 20
Step-by-step explanation:
For the given cost function C ( x ) = 19600 + 500 x + x 2 , First, find the average cost function. Use it to find: a) The production level that will minimize the average cost
Answer:
The answer is "140".
Step-by-step explanation:
Calculating the average cost:
[tex]= \frac{C(x)}{x}\\\\ = \frac{19600+500x+x^2}{x} \\\\ = \frac{19600}{x}+500 +x\\\\[/tex]
To minimize average cost we have to find x for wich A'(x)=0
[tex]A(x) = \frac{19600}{x}+500 +x \\\\A'(x) = -\frac{19600}{x^2}+1 \\\\0= -\frac{19600}{x^2}+1 \\\\\frac{19600}{x^2}=1 \\\\19600=x^2 \\\\x=140[/tex]
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answer:
wait can we have the graph
Step-by-step explanation:
Answer:
Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
If you are given a quadratic equation explain how you would know whether or not the roots are imaginary
Answer:
depends what u get in the roots whether the number is [tex]\sqrt{9} or \sqrt{-9}[/tex]
if it is square root -9 its gonna be 3i compared to just 3
Leo's age is 21 less than 2 because of his sisters age. If her sister is 23 years old how old is Leo
PLEASE HELP!!! Pleaseee!
Answer:
a
Step-by-step explanation:
Factor 30-20 using gcf
Answer: 10
Step-by-step explanation:
ILL GIVE BRAINLIST FOR THE FIRST TO GET #6 RIGHT!!
Plsssssss help i need an answer look in the pic below
Answer:
A. 120 cm²Step-by-step explanation:
10 cm x 12 cm = 120 cm²
1) Carl had nine gallons of gasoline in his motorbike. After driving 115 miles, he has three gallons
left. What is Jamie's rate of change in miles per gallon?
Answer:
asc
Step-by-step explanation:
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answer:
Step-by-step explanation:
f(x) = 2x^2 − 6x + 3 for x = −1