Answer:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)
And the amount spent can be represented as:
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]
And
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
[tex]0.75c + 1.10h = 4.55[/tex]
Hence, the equations are:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Solving for c and h
Make c the subject in [tex]c + h = 5[/tex]
[tex]c = 5 - h[/tex]
Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]
[tex]0.75(5- h) + 1.10h = 4.55[/tex]
[tex]3.75- 0.75h + 1.10h = 4.55[/tex]
[tex]3.75 +0.35h = 4.55[/tex]
Collect Like Terms
[tex]0.35h = 4.55 - 3.75[/tex]
[tex]0.35h = 0.8[/tex]
Solve for h
[tex]h = 0.8/0.35[/tex]
[tex]h = 2.28571428571[/tex]
[tex]h =2[/tex] -- approximated
Recall that:
[tex]c = 5 - h[/tex]
[tex]c = 5 - 2[/tex]
[tex]c =3[/tex]
What is 2+2? xd noob
Answer:
4
Step-by-step explanation:
You can count on your fingers if you need to or use a calculator.
Answer:
2+2 is 4
Step-by-step explanation:
. Line / is shown on the graph below. If
another line is drawn, perpendicular to
line I, what must be its slope?
y
A. -3
B. 3
C. 0
D. undefined
The slope of the perpendicular line is -3, which is option A.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The given equation of the line is I: y = (1/3)x.
To find the slope of a line perpendicular to I, we need to take the negative reciprocal of the slope of I.
The slope of I is 1/3, so the slope of a line perpendicular to I is:
-1 / (1/3) = -3
Therefore, the slope of the perpendicular line is -3, which is option A.
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The complete question:
If another line is drawn, perpendicular to line I = y= 1/3x, what must be its slope?
A. -3
B. 3
C. 0
D. undefined
(Timed) Solve the system of equations work shown
Substitution Method
For x:
[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]
For y:
[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]
Solution:
[tex](14, 15.5)[/tex]
Graphing Method
According to this graph, the solution will be [tex](14, 15.5)[/tex].
Please help! Thanks!
Answer:
G.) 6
Step-by-step explanation:
The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.
HELPPPPPPPPP MEEEEE STARVINGGGGG
Actually help me with the screenshot though LOL
Answer: i think A, but might not be sry
Step-by-step explanation:
URGENT LOTS OF POINTS
Answer:
+2
Step-by-step explanation:
Answer:
its +2
Step-by-step explanation:
PLZ THANK FIVE STARE AND GIVE BRAINLIEST.
What’s the domain and range of a horizontal line?
What’s the domain and range of a vertical line?
The horizontal line has infinite domains but a range that has only one value.
The vertical line has a domain is the -intercept, and its range is "all real numbers."
Given that,
The horizontal and vertical lines.
Since we know that,
Linear functions always have infinite domains and ranges.
The exception is when the graph is a horizontal line.
This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.
And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;
Hence its domain is the -intercept, and its range is "all real numbers."
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marlin is the first mate on a very successful fishing charter boat. last year marlin total income was $41,906. which equation could marlin use to determine the amount he made tips, t, he was paid $27 for every hour, h , he works
A. 27h - t =41906
B. 27h + t =41906
C. 41906h + 27 = t
D. 41906h - 20= t
I am selling raffle tickets. It cost $155 to print the tickets and I want to make at least a $2,500 profit how much money do I need to raise to cover the cost of the printing and meet my goal
Answer:
Step-by-step explanation:
You need $2500 plus the amount to print the tickets. So 2500+155= $2655.
$155 will break even and then the $2500 will be the profit.
what is the value of x in the
triangle?
Answer:
x = 75°
Step-by-step explanation:
Sum of angles in a triangle: 180°
So,
50°+55°+x=180°
105°+ x = 180°
Subtract 105° from both sides
x = 75°
Order these lengths in order from least to greatest.
0.65 m
0.6 m
0.52 m
0.55 m
0.545 m
Answer:0.52, 0.545, 0.55, 0.6, 0.65
Source:trust me bro
Answer:
O.52 m, 0.545 m, 0.55 m, 0.6 m, 0.65m. :)
Step-by-step explanation:
what is the solution to the following system of equations?
4x + 2y = 18
x − y = 3
Answer:
the top one
Step-by-step explanation:
Quadrilateral JKLM is a kite as such KM is a perpendicular bisector of J L at point P given that KP =4" JL equals 12" and AML equals 20" was the length of the permenter of the quad JKlM?
Answer:
40 + 4√13
Step-by-step explanation:
A kite is a quadrilateral (has four sides) with two pairs of equal adjacent sides. The longer diagonal of a kite bisects the shorter diagonal.
Since in kite JKLM, diagonal KM bisects JL, hence KM is the longer diagonal.
JP = LP
JL = 12
JL = JP + LP
12 = JP + LP
2JP = 12 (LP = JP)
JP = 6
We can find JK using Pythagoras theorem, hence:
JK² = JP² + KP²
JK² = 4² + 6²
JK² = 16 + 36
JK² = 52
JK = √52 = 2√13
JK = KL = 2√13
ML = JM = 20
Perimeter of kite = JK + KL + ML + JM = 20 + 20 + 2√13 + 2√13
Perimeter of kite = 40 + 4√13
Select three ratios that are equivalent to 8 : 5
Answer:
16:10, 24:15, 32:20, etc.
Step-by-step explanation:
Nancy has $200 and spends $10 each week. Which function rule describes the situation?
Answer:
f(d) = 200 – 10d
Step-by-step explanation:
I just looked it up sorry if its wrong lol
Answer:
f(d)=200-10d
Step-by-step explanation:
Because she is spending money every week, That means he money is decreasing.
30% of $40 is blank money
Answer:
12
Step-by-step explanation:
30% is 0.3, 40 x 0.3 . is 12 :DD
What is the answer to this equation -14=d/15
Answer:
d=-210
Step-by-step explanation:
multiply 15 to both sides
-14*15 =-210
the 15 on the side with d cancels
Now you have d=-210
Hope this helps!
8x+5=61 immma workk out fo yall
-5 -5
8x =56
Answer:
x = 7
Step-by-step explanation:
8x + 5 = 61
8x = 56
x = 7
Which expression is equivalent to -44
PLease asap 12 points please dont just take them
Answer:
|44|
Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)
Step-by-step explanation:
-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative
Answer:
One equation is -22+-22
CAN SOMEONE PLEASE HELP ME ON NUMBER 3
Answer:
36
Step-by-step explanation:
Simplify the expression 3.8 - 5.1n - 4n + 5
Answer:
8.8-9.1n
Step-by-step explanation:
Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.
Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years
9514 1404 393
Answer:
$241.81
Step-by-step explanation:
The interest is given by the formula ...
I = Prt
Filling in the values and doing the arithmetic, we have ...
I = $2650×0.0365×2.5
I = $241.81
The simple interest paid is $241.81.
The graph of is shown on the grid.
Which ordered pair is in the solution set of ?
Answer:
where's the graph rn ?
Step-by-step explanation:
is this question complete?
6x+4y=42 -3x+3y=-6 by elimination
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.
x=5
y=2
Answer: (5, 3)
Step-by-step explanation:
Solve by Addition/Elimination
6x + 4y = 42 −3x + 3y = −6
Multiply each equation by the value that makes the coefficients of x opposite.
6x + 4y = 42
(2) ⋅ (−3x + 3y) = (2) (−6)
Simplify (2) ⋅ (−3x + 3y).
6x + 4y = 42
−6x + 6y = (2) (−6)
Multiply 2 by −6. 6x + 4y = 42
−6x + 6y = −12
Add the two equations together to e liminate x from the system.
6x + 4y = 42
±6x + 6y = −12
1 0y= 30
Divide each term in 10y = 30 by 10.
10y = 30
10 10
Cancel the common factor of 10.
y = 30/10
Divide 30 by 10.
y = 3
Substitute the value found for y into one of the original equations, then solve for x.
Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42
Multiply 4 by 3.
6x + 12 = 42
Move all terms not containing x to the right side of the equation.
6x = 30
Divide each term by 6 and simplify.
x = 5
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
how do i solve this problem?
Answer:
You can use a^2+b^2=c^2;
Step-by-step explanation:
42^2+78^2=(6x-1+10x+5)^2
Answer:
3.5
Step-by-step explanation:
Triangles always equal to 180
42 + 78 + 16x + 4 = 180
124 + 16x = 180
56 = 16x
3.5 = x
What is the value of x?
Answer:
5
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c² plug in the info you have
a²+12²=13² (c is always the side opposite from the right angle)
Solve for a
a²+144=169
-144 -144
a²=25 take the square root of both sides
√a²=√25
a=5
anyone question 8 pleaseeeeeeeeeee
Answer:
$200 and $450
Step-by-step explanation:
We can start by assigning variables to our unknowns.
Our unknowns are the price for a DVD player and the price for a television.
x= price of a television
y= price of a DVD player
Next, let's translate the given information into a system of equations.
two televisions and three DVD players for $1750
2x+3y=1750
four televisions and one DVD player for $1250
4x+y=1250
Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.
First, from the second equation, we subtract 4x from both sides.
4x+y-4x=1250-4x
y=1250-4x
Now we plug 1250-4x for y in the first equation.
2x+3y=1750
2x+3(1250-4x)=1750
Distribute.
2x+3*1250-3*4x=1750
Simplify.
2x+3750-12x=1750
Combine like terms.
-10x+3750=1750
Subtract 3750 from both sides
-10x+3750-3750=1750-3750
-10x=-2000
Divide both sides by -10
x=200
A television costs $200.
Now using that, we can plug that into one of the original equations. I'll use the second one.
4x+y=1250
4(200)+y=1250
800+y=1250
Subtract 800 from both sides.
y=450
A DVD player costs $450
You can plug those values back into the other equation (the first one) to double-check if you'd like as well.
can a pentagon have interior angles that measure 120°, 105°, 65°, and 95°? explain.
Answer:
No
Step-by-step explanation:
because firstly, pentagon is five sided figure and secondly, the sum of interior angled of a pentagon is 540°
No, the given angles can not be the measure of the pentagon angles.
What is the pentagon?A pentagon is a polygon having five sides connected to each other to form a closed figure. The sum of the angles of the pentagon is equal to 540 degrees.
Given angles are 120°, 105°, 65°, and 95°. Here as we know that the pentagon is a polygon having five sides. The number of angles formed by all the sides of the pentagon is also five.
Here we have only four angles that are 120°, 105°, 65°, and 95°. But to form a pentagon there must be five angles and the sum of the angles should be 540 degrees.
Therefore, the given angles can not be the measure of the pentagon angles.
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WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?
Answer: 104
Step-by-step explanation:
I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.
Find h. (system of equations)
Step-by-step explanation:
xtan45° = (x+600)tan30°
x(tan45°-tan30°) = 600tan30°
x = 819.62m.
Therefore h = xtan45° = x = 819.62m.
