Answer:
Robert can feed 13 cats.
Step-by-step explanation:
To solve this we simply divide.
3.38 divided by 0.26 = 13
Therefore Robert can feed 13 cats.
The trampoline park charges a $8 for kids and $4 for adults. Your extended family is going there to celebrate your birthday. Your family has at most $190 dollars to spend on entrance fees. You can invite at most 35 people. What are some possible combinations of adults and kids who could go to your party? Write a system of equations for this situation.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of kids and y represent the number of adults that can be invited to the park.
Since the family has at most $190 to spend, hence:
8x + 4y ≤ 190 (1)
Also, the maximum number of invites is 35 people. This is represented by the equation:
x + y ≤ 35 (2)
Graphing equation 1 and equation 2 using geogebra online graphing
We have the solution as:
(0, 35), (23.75, 0) and (12.5, 22.5)
Since the number of people must be a whole number, the possible solutions are:
0 children and 35 adults or 23 children and 0 adults or 12 children and 22 adults
Pls help. What is the appropriate congruent for these triangles
Answer:
ASA
Step-by-step explanation:
In given triangle
Line BC = Line QR
Angle ABC = Angle PQR
Angle ACB = Angle PRQ
Computation:
Angle ABC = Angle PQR (Angle)
Line BC = Line QR (Side)
Angle ACB = Angle PRQ (Angle)
So,
ΔABC ≅ ΔPQR
By Angle Side Angle property
ASA
Solve ay+b = cx for y
Answer:
y=cx-b/a
Step-by-step explanation:
ay+b=cx
ay=cx-b
y=cx-b/a
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x+10y=800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?
55
60
130
150
Answer:
60
Step-by-step explanation:
Substitute 50 for y in the formula
5x+10y=800
5x+10*50=800
5x+500=800
5x=800-500
5x=300
x=300/5
x=60
Answer:
60
Step-by-step explanation:
5x+10y = 800
5x+10(50) = 800
5x+500 = 800
5x = 800-500
5x = 300
x = 300/5
x = 60
60 small vehicles were washed in total.
proof: 5x+10y = 800
5(60) +10(50) =800
300 + 500 = 800
800 = 800
Hope this helps uwu
What are the solutions of the equation (5x − 2)(x + 6) = 0?
A. 0.4, −6
B. no real solution
C. −0.4, 6
D. 2.5, −6
Answer:
A. 0.4 , -6
Step-by-step explanation:
equate each of them to 0
5x - 2 =0 , x + 6 = 0
5x = 2 , x = 0 - 6
x = 2/5 , x = -6
x = 0.4 , x = -6
3k is an example of?
Answer:
3k would be an example of a veriable.Solve the following equation:
[tex]x + \sqrt{x+3} = 3 + 3\sqrt{1-x}[/tex]
Answer:
[tex]x+\sqrt{x+3}=3+3\sqrt{1-x}[/tex]
[tex]Remove~ Square ~root[/tex]
[tex]-36x^3+252x^2-540x+324=[/tex]
[tex]x^4-32x^3+286x^2-480x+225[/tex]
[tex]Now ~\mathrm{Switch\:sides}[/tex]
[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18=x+3[/tex]
[tex]\mathrm{Subtract\:}x^2-15x\mathrm{\:from\:both\:sides}[/tex]
[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18-\left(x^2-15x\right)=[/tex]
[tex]x+3-\left(x^2-15x\right)[/tex]
[tex]New ~Simplify[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18=-x^2+16x+3[/tex]
[tex]Subtract ~18~ from ~ both~ sides[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18-18=-x^2+16x+3-18[/tex]
[tex]Simplify[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}=-x^2+16x-15[/tex]
[tex]Now~ factor:[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}(-x+3)[/tex]
[tex]6\sqrt{-x+1}\left(-x+3\right)=-x^2+16x-15[/tex]
[tex]Solve~~-36x^{3}+252x^{2} -540x+324=x^{4} -32x^{3} +286x^{2} -480x+225=[/tex]
[tex]x=1,\:x=-3[/tex]
-----------------------hope it helps..have a nice day/nightFind sin
A. 3/5
B.4/5
C.1
D.5/4
Answer:
Sin < A is 4 / 5
Step-by-step explanation:
sin = Opposite side / Hypotenuse side
sin = 8 / 10
sin = 4 / 5
Which of the following mapping diagrams does not represent a function?
Answer:
C
Step-by-step explanation:
C => 7 is mapped into both 8 and 12, and in a function, this is not allowed
Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)
a. 40
b. 50
c. 60
d. 140
Answer:
ans: option D
Step-by-step explanation:
exterior angle of triangle is equal to sum of opposite interior angle I.e
angle ACD= angle CAB + angle ABC
Answer:
d
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ACD is an exterior angle of the triangle, then
∠ ACD = 80° + 60° = 140° → d
If f(x) = -x2 + 6x- 1 and g(x) = 3x2- 4x-1, find (f - g)(x).
Answer:
[tex](f-g)(x)=-4x^2+10x[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(-x^2+6x-1)-(3x^2-4x-1)[/tex]
Distribute:
[tex]=-x^2+6x-1+(-3x^2+4x+1)[/tex]
Rearrange:
[tex]=(-x^2-3x^2)+(6x+4x)+(-1+1)[/tex]
Combine like terms. Hence:
[tex](f-g)(x)=-4x^2+10x[/tex]
Find the equation of the line parallel to y = 2/3x-7
passing through A(6,-1).
Answer:
y = 2/3x - 5
Step-by-step explanation:
If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:
y + 1 = 2/3 (x - 6)
y + 1 = 2/3x - 4
y = 2/3x - 5
Name a pair of adjacent angles and a pair of vertical angles in the figure
Answer:
Adjacent: <ABC and <CBD
Vertical: <ABC and <EBD
Step-by-step explanation:
Adjacent angles: Angles that share one ray.
Vertical Angles: Opposite angles created by the intersection of two lines.
Hope this helps!!
Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.
Answer:
x
=
7
2
,
−
8
3
Step-by-step explanation:
Answer:
o9
[tex]x = - 44 \div 5[/tex]
hope to help you
What’s the answer?????
Answer:
19.3
Step-by-step explanation:
d=m/v
d=2316/120
d=19.3 g/cm^3
Answer:
19.3g/cm^3
Step-by-step explanation:
i think of a number, multiply it by 3, add 4 and square the answer
Answer:
(3x + 4)²
Step-by-step explanation:
Let the unknown number be x.
(3x + 4)²
Lori is president of a book club. She has a message to get out to her book club members. On Monday, she called one member and asked that member to call to other members by noon the next day and repeat the message. How many calls were made by Friday afternoon?
Please help me!
Answer:
how many members are in the club??
Which of the following is an arithmetic sequence with a common difference of +3?
A) 17, 14, 11, 8, ...
B) 1, 3, 9, 12, ...
C) 4, 7, 10, 13, ...
D) 12, 15, 19, 24, ...
My best friend gave me an Bicycle for free and it is fire and so i want to give him something to what should i give him??
Answer:
Something that's in your budget.
pls telll/pls tell pls tell pls tell
Answer: 2
Step-by-step explanation:
Given
The polynomial is [tex]x^4+x^3-2x^2+x+1[/tex] is divided by [tex]x-1[/tex]
According to the remainder theroem
[tex]\Rightarrow x-1=0\\\Rightarrow x=1[/tex]
Put [tex]x=1[/tex] in the polynomial to get the remainder
[tex]\Rightarrow 1+1-2+1+1\\\Rightarrow 2[/tex]
So, we get the remainder 2.
HELPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE! asap
Answer:
209.25 ft²
Step-by-step explanation:
2.7cm * 5 = 13.5 ft
3.1cm * 5 = 15.5 ft
Area
a = 13.5 * 15.5
a = 209.25 ft²
Answer:
8.37cm
Step-by-step explanation:
2.7cm×3.1cm=8.37cm
Area rectangle is length by width
An isosceles triangle has an angle that measures 120°. Which other angles could be in that isosceles triangle? Choose all that apply. 75, 50, 30, 25
Answer:
30.
Step-by-step explanation:
The 120 degree has to be the vertex angle.
The other 2 angles in the triangle will be congruent as the triangle is isosceles.
These 2 are both = (180-120) / 2
= 60/2
= 30 degrees.
Write the equation of the line passing through the points (-2,8) and (-8,2).
Answer:
y=-4x
Step-by-step explanation:
First, out it into y=mx+b. Then find the slope(m). insert slope and one set of coordinates into equation and solve for y-intercept (b). Then you have your answer.
Answer:
y = 1x + 10
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 8 / -8 - (-2)
-6/ -6
1
y = 1x + b
2 = 1(-8) + b
2 = -8 + b
10 = b
can anyone help me please
Answer:
orange :P
Step-by-step explanation:
volume = a x a x a = 15 x 15 x 15 =3375 cubic mm
Answer:
3375 cm (so the 3375 with the 3 in the corner)
DONT PUT THE ONE WITH THE 2 IN THE CORNER. Put the one with the 3 in the corner. I have made this mistake too many time lol.
Work:
Given, side of a cube =15 cm
Volume of a cube = Length x Width x Height
A cubes length, width, and height are the same.
15×15×15=3375 cm squared
whats 9 plus 6 times 2?
What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
Answer:
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
Step-by-step explanation:
[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
Find the area of triangle JKL made from 1 cm squares. Don’t just do that fake link plzzzzzz
The area of the triangle is 6 square units
Area of a triangleThe formula for calculating the area of a triangle is expressed as:
A = 0.5 * breadth * heightFrom the given triangle, the length of the diagonal of each square is expressed as:
[tex]l=\sqrt{1^2+1^2} \\l=\sqrt{2}[/tex]
Height of the triangle = √2 + √2 = 2√2
Base of the rectangle = √2 + √2 + √2= 3√2
Get the area of the triangleArea of the triangle= 0.5 * 2√2 * 3√2
Area of the triangle 3(2)
Area of the triangle = 6 square units
Hence the area of the triangle is 6 square units
Learn more on area of triangle here; https://brainly.com/question/17335144
what do you call a line that intrrsects two parallel lines
Answer:
TransversalStep-by-step explanation:
A transversal is a line that passes through two lines in the same plane at two distinct points.
Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel.
Eight angles of a transversal.
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 3 milliliters of compound B. If a chemist wants to make 656 milliliters of the drug, how many milliliters of compound A are needed?
=====================================================
Explanation:
The ratio of A to B is 5:3
Multiply both parts by x to get 5x:3x
We need 5x parts of A and 3x parts of B
Adding those parts should get us 656 mL total
A+B = total
5x+3x = 656
8x = 656
x = 656/8
x = 82
Therefore, we need 5x = 5*82 = 410 mL of compound A
Also, we need 3x = 3*82 = 246 mL of compound B
In total, we have A+B = 410+246 = 656 mL which helps confirm the answer.
-----------
Side note: The ratio 410:246 reduces to 5:3 after dividing both parts by 82.