Answer:
x = 3
y = 0
Step-by-step explanation:
4(3) + 7(0) = 12
-8(3) - 14(0) = -24
Amanda, Bruno and Carla collected bottle caps for charity. Amanda collected (4f – 3) bottle caps. Bruno collects twice as many bottle caps as Amanda. Carla collects 3(5 + 2f) bottles. How many bottles did they collect altogether in terms of f ?
Answer:
18f - 6 bottles
Step-by-step explanation:
Amanda, Bruno and Carla collected bottle caps for charity. Amanda collected (4f – 3) bottle caps. Bruno collects twice as many bottle caps as Amanda. Carla collects 3(5 + 2f) bottles. How many bottles did they collect altogether in terms of f ?
From the question
Amanda collected (4f – 3) bottle caps. Bruno collects twice as many bottle caps as Amanda.
= 2(4f - 3)
= 8f - 6 bottle caps
Carla collects 3(5 + 2f) bottles.
= 15 + 6f bottles
The number of bottles they collected altogether in terms of f is calculated as:
(4f – 3) bottle + 8f - 6 bottle + 15 + 6f bottle
4f - 3 + 8f - 6 + 15 + 6f
= 18f - 6
Which of the following statements must be true based on the diagram below? Answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
3rd one
Step-by-step explanation:
In Cyprus City there are 12,000 adults. 7,500 of the adults in the town are registered voters. In a poll to predict who will be the next mayor, a statistician asks 500 registered voters who they plan on voting for mayor. How many people are in the population of registered voters? And how many people are in the sample taken by that statistician?
Answer:
Step-by-step explanation:
12
a farmer has sheep and hen .the sheep and hen together have 100heads and 356 legs .how many sheep and hens does the farmer have?
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
ABCD is a kite with AD=AB
A= 116°
B=2x°
D=(5x-147)°
Find the size of the smallest angle of the kite.
Answer:
55.86
Step-by-step explanation:
(5x-147)+2x+116=360
7x-31=360
+31 +31
7x=391
x=55.86
A system has an infinite number of solutions. one equation is 3x-3y=8. Which could be the other equation in the system of equations?
Answer:
[tex]6x-6y-16=0[/tex]
Step-by-step explanation:
Consider the following system of equations:
[tex]a_1x+b_1y+c_1=0\\\\a_2x+b_2y+c_2=0[/tex]
The system of equations has infinite solutions if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
One equation is [tex]3x-3y=8[/tex]
[tex]3x-3y-8=0[/tex]
Take another equation as [tex]6x-6y-16=0[/tex]
So, the two equations are [tex]3x-3y-8=0[/tex] and [tex]6x-6y-16=0[/tex]
[tex]a_1=3,b_1=-3,c_1=-8,a_2=6,b_2=-6,c_2=-16[/tex]
[tex]\frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2}\\ \frac{b_1}{b_2}=\frac{-3}{-6}=\frac{1}{2}\\ \frac{c_1}{c_2}=\frac{-8}{-16}=\frac{1}{2}[/tex]
So,
[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
Therefore, another equation can be [tex]6x-6y-16=0[/tex]
PLEASE HELP IF POSSIBLE :)
Answer:
telephone pole height = 480ft
Step-by-step explanation:
Assume that the shadow that an object casts is proportional to the height of the object. Then one can form the ratio:
[tex](shadow : height)[/tex]
Making the assumption that this ratio is proportional for all objects in this given scenario, then one can say that the ratio of the height of the man and his shadow is equal to the ratio of the height of the telephone pole and its shadow:
(man's height) : (man's shadow) = (pole's height) : ( pole's shadow)
Substitute:
6ft : 4ft 6in = (telephone pole hiehgt) : 30ft
Convert to inches (since it is all in the same unit now, one's doesn't need to write the unit anymore):
72 : 54 = (telephone pole height) : 360
Simplify:
4 : 3 = (telephone pole height) : 360
Now solve, use cross products:
3(telephone pole height) = 1440
Inverse operations,
3(telephone pole height) = 1440
/3 /3
telephone pole height = 480
PLEASE HELP ME! Which rule explains why this triangle is congruent?( A) SAS (B).ASA ( C.) AAS (D) triangles can not be proven to be congruent.
Answer:
AAS
Step-by-step explanation:
Angle K is congruent to Angle N (given), Angle H is congruent to itself (reflexive property), and side JH is congruent to side MH (given).
Ben and Blake both love to collect baseball cards. The ratio of cards that Ben has compared to the number that Blake has is 2:3. If Blake buys 500 more cards, he will have 3800 cards. How many cards does Ben currently own?
Answer:
2200 baseball cards
Step-by-step explanation:
FILL THIS OUTTTTT PLZZZZ
Answer:
3.5
Step-by-step explanation:
3.5 + 3.5 = 7
HELPEOEODODOEKEKEL PLEASE
Answer:
Lily earns $225
y represents the amount that Lily earns
x represents the painting's price
Step-by-step explanation:
PLS ANSWER WILL GIVE BRAINLIEST
Answer:
$50
Step-by-step explanation:
Answer:50
Step-by-step explanation:
Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 12 units above the vertex of the graph of g(x) .
Which pair of functions could have been used to create the graphs of g(x) and h(x)?
h(x)=(x+12)2 and g(x)=x2
h(x)=x2−12 and g(x)=x2
h(x)=x2+12 and g(x)=x2
h(x)=(x−12)2 and g(x)=x2
Answer:
h(x) = x^2 + 12 and g(x) = x^2
Step-by-step explanation:
In this case there is a positive, vertical translation of 12 units up.
The original g(x) = x^2 has its vertex at (0, 0), whereas h(x) has its vertex at (0, 12). The function h(x) is found by adding 12 to g(x) = x^2:
h(x) = x^2 + 12
The third answer choice is the correct one: h(x) = x^2 + 12 and g(x) = x^2
Please help me! Anything is appreciated!
Brian ate 2/3 of a pizza. His friend, Joseph, ate 1/4 of what was left. How much pizza did Joseph eat?
Answer:
1/12
Steps:
1 - 2/3 = 1/3
1/3 / 4 = 1/3 × 1/4 = 1/12
can someone please help me with this? I'll mark brainliest for the right answer
Answer: SHE MADE ANOTHER QUESTION!
Step-by-step explanation:
Dante is mailing a box with a length of nine 1/2 inches a width of 8 inches and a height of 6 inches what is the volume of the box
Answer:
456 in³
Step-by-step explanation:
To find the volume of the box, use the volume formula, V = lwh
Plug in the length, width, and height:
V = lwh
V = (9.5)(8)(6)
V = 456
So, the volume of the box is 456 in³
I do not understand this may I get help?
Answer:
b
Step-by-step explanation:
the y axis is the axis going up and down, so the reflection would be on the other side of the axis.
HURRYY I ONLY HAVE 15 MINS!!! Find (a) the perimeter and (b) the area of the figure. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.
Answer:
I only know the area sorry it is 7.065 ft2
Answer:
Perimeter: 7.712
Area: 3.534
Step-by-step explanation:
A= [tex]\pi*r^{2}/2\\[/tex]
L=[tex]\pi *r/2\\[/tex]
what is the y intercept of y = 12 - 6x/4
Answer:
(0,12)
Step-by-step explanation:
Answer:
(0,12)
Step-by-step explanation:
Use y=mx+b to answer the equation
Someone please help me?
Answer:
31.7 degrees (A)
Step-by-step explanation:
90 degrees (the whole angle) - 58.3 degrees = 31.7 degrees
the angles are complementary
they add up to 90 degrees
brainliest plz
Answer:
31.7
Step-by-step explanation:
pls mark brainliest
58.3 + 31.7 is 90
PLEASE HELP ASAP
BRAINLIEST
HAVE 10 MINUTES
Marcus has 3/4 of and 8-piece pizza left over from last night. He eats 1/3 of the left over pizza for a snack. How much of the original pizza is left after his snack?
Answer:
1/3 of the pizza remains.
Step-by-step explanation:
Matthew eats 1/3 of 1/2 of the pizza, which is (1/3)*(1/2) = 1/6 of the pizza. The amount of pizza left is
1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3
1/3 of the pizza remains.
Please help me I need to get this turned in now!!
Answer:
(25. 12) unitStep-by-step explanation:
The radius of the circle is ( r = 4) so
[tex]p = 2\pi \times r \\ p = 2(3.14)(4) \\ p = 25.12[/tex]
what are solid shapes
Answer:formele solide sun obiectele care sunt tari dexemple piatra telefonul cubul ele sunt solide
Step-by-step explanaton:
DEFINITION-;
three dimensional figure have Length breadth and height and which have a fixed shape and accupies shapes are called solids
the line segment which to focus in solid meet is called its when three or more faces of a solid meet at one point with point is known as vertex
TYPES
CUBOID
a solid bounded by six rectangular play spaces is called a cuboid
ELEMENT OF CUBOID
it has 6 faces it has 8 vertex it has 12 edge2 CUBE
a solid cube whose all three dimension Length breadth and height are equal called cube
element of cube
it has 6 faces 8 vertex and 12
3 PRISM
a Prism is a solid whose side faces are rectangle and in the identical polygon in parallel planes
4 PYRAMID
a pyramid is a solid whose base is a flat plane rectilinear figure which may be triangular square rectangular or polygonal the side face of a pyramid are Triangles having a common vertex
5 CONE
it is a solid with a circular base and all is other purpose meet it common point known as vertex
6 CYLINDER
it is a solid with two circular base also if the cross section of prism is circle then is known as cylinder
How do you simplify X^-7?
Answer:
below
Step-by-step explanation:
Rewrite the expression using the negative exponent rule
b ^− n =1/ b^ n . 1 x^ 7
Algebra 2
Please help!
Will give brainliest if it’s correct!
Determine an equation for the pictured graph. Write your answer in factored form.
Remember to start with f(x) = a (x – ri)(x - 52)...
8
7
2
y =
An equation for the pictured graph and the equation for the pictured graph in factored form is: y = rs - r - s + 1.
Let's assume the equation for the graph in factored form is: y = a(x - r)(x - s), where 'a' is a constant and 'r' and 's' are the roots of the equation (x-intercepts of the graph). Since we are given that the graph passes through the points (0, -2) and (1, 0), we can use this information to find the values of 'r' and 's.'
Using the point (0, -2):
When x = 0, y = -2.
We can substitute these values into the equation:
-2 = a(0 - r)(0 - s)
Simplifying, we get: -2 = a(-r)(-s) or -2 = ars.
Using the point (1, 0):
When x = 1, y = 0.
Substituting these values into the equation:
0 = a(1 - r)(1 - s)
Simplifying, we get: 0 = a(1 - r)(1 - s).
Now, we have two equations:
-2 = ars (Equation 1)
0 = a(1 - r)(1 - s) (Equation 2)
From Equation 1, we can solve for 'a' in terms of r and s:
a = -2 / rs.
Now, substitute this value of 'a' into Equation 2:
0 = (-2 / rs)(1 - r)(1 - s).
To make further progress, we can divide both sides by -2:
0 = (1 / rs)(1 - r)(1 - s).
Next, to eliminate the fractions, multiply both sides by rs:
0 = (1 - r)(1 - s).
Finally, expand the right side of the equation:
0 = 1 - s - r + rs.
The equation for the pictured graph in factored form is:
y = rs - r - s + 1.
To know more about graph here
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pls help i beg u pls
point(3,2) lies on the line given by the equation 5x-y=20.Find m.
Answer:
Slope of the line 'm' = 5
Step-by-step explanation:
Step(i):-
Given that the straight line
5 x - y = 20
⇒ 5x - 20 = y
y = 5 x - 20
Step(ii):-
The equation of the straight line having to slope 'm'
y = m x + c
given that the straight line
y = 5x +20
comparing y = m x + c
Slope of the line 'm' = 5