Answer:
System of Equations is given as:
c = 2h - 1...... Equation 1
1.8c + 3h = 288.60....Equation 2
Step-by-step explanation:
Let us represent
The number of Cold lunch = c
The number of Hot lunch = h
The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought.
Hence:
c = 2h - 1
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches.
Hence:
$1.80 × c + $3.00 × h = $288.60
1.8c + 3h = 288.60....Equation 2
The system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year is given as:
c = 2h - 1...... Equation 1
1.8c + 3h = 288.60....Equation 2
The system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]
Let h represents hot lunch, and c represents cold lunch.
So, we have:
[tex]\mathbf{1.80c +3.00h = 288.60}[/tex]
[tex]\mathbf{c = 2h - 1}[/tex]
Substitute [tex]\mathbf{c = 2h - 1}[/tex] in [tex]\mathbf{1.80c +3.00h = 288.60}[/tex]
[tex]\mathbf{1.80(2h -1) +3.00h = 288.60}[/tex]
Expand
[tex]\mathbf{3.60h -1.80 +3.00h = 288.60}[/tex]
Collect like terms
[tex]\mathbf{3.60h +3.00h = 288.60 + 1.80}[/tex]
[tex]\mathbf{6.60h = 290.4}[/tex]
Divide both sides by 6.60
[tex]\mathbf{h = 44}[/tex]
Substitute 44 for h in [tex]\mathbf{c = 2h - 1}[/tex]
[tex]\mathbf{c = 2(44) - 1}[/tex]
[tex]\mathbf{c = 83}[/tex]
Hence, the system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]
Read more about simultaneous equations at:
https://brainly.com/question/16763389
The function g(x) is graphed on the coordinate grid. What is the domain of g(x)?
Answer:
x[tex]\geq[/tex]5
Step-by-step explanation:
The domain is the function defined on your x-axis.
It starts from 5 and includes 5
so the domain is x[tex]\geq[/tex]5
PLEASE HELP!!!!! 25 POINTS!!!!!!
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
In the parallelogram, every two opposite sides are equal in lengthsIn the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
A total of 30 mothers baked cakes for a bake sale. Each mother baked 2 cakes. The bake sale
director found 35% of the cakes were chocolate. How many chocolate cakes were made for the bake
sale?
Daniel and Lisa are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Daniel sold 5 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $74. Lisa sold 1 roll of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $58. Find the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper
Answer:
P = 4 & H = 18
Step-by-step explanation:
Daniel : 5 plain paper + 3 holiday paper = 74, 5P + 3H = 74 . Lisa : 1 plain paper + 3 holiday paper = 58, P + 3H = 58 . Solving two equations, P = 4 & H = 18
The question and possible answer are in the picture thank you!
Answer:
pretty sure its the first one
Step-by-step explanation:
On average, 15% of the patients a certain emergency room receives are uninsured. Let N be the number of patients the emergency room receives until it receives the first uninsured patient of the day. Assume the insurance status of the patients is independent. Find the probability that it takes at least 6 patients until the emergency room receives the first uninsured patient. You may round your answer to the nearest hundredth.
Answer: 0.44
Step-by-step explanation:
please answer this due in 30 mins giving brainlist out
Answer:
2/-2
Step-by-step explanation:
X-axis is first and Y-axis
Answer:
Slope: [tex]m=-\frac{1}{2}[/tex]
y-intercept: [tex](0,-1)[/tex]
Equation: [tex]y=-\frac{1}{2}x-1[/tex]
Step-by-step explanation:
Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](-2, 0)[/tex] and [tex](2,-2)[/tex] as given in the problem, we have slope of this line to be:
[tex]m=\frac{-2-0}{2-(-2)}=\frac{-2}{4}=-\frac{1}{2}[/tex].
Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:
[tex]0=-\frac{1}{2}(-2)+b, \\ b=-1[/tex]
Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=-\frac{1}{2}x-1$}[/tex].
The y-intercept occurs when [tex]x=0[/tex]:
[tex]y=-\frac{1}{2}(0)-1, \\\\y=1[/tex]
Thus, the y-intercept is
[tex](0, -1)[/tex]
The following system of linear equations has
-3x + 7y = 10
3x + 7y = -8
Which expression is equivalent to the expression -3 (4r - 2) -2r?
Answer:
-14r + 6
Step-by-step explanation:
-12r + 6 - 2r
X^2+2x+1=4 complete the square
Answer:
[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]
x= 1 or x= -3 is the right answer.You earn 4x+12 points after completing x levels of a Vedio game and then lose 2x-5 points. Write an expression that represents the total number of points you have now
Ella buys 5 packs of muffins. She uses a coupon and saves $3 off the total. Which expression represents her total cost?
A. 5m -3
B. 5 -3m
C.5+3
D. 5m + 3
Answer:
The answer is A. 5m - 3
Step-by-step explanation:
Ella bought 5 packs of muffins but since we don't know how many muffins are in each pack, we put a variable in place so it's 5m. Since she saved $3 off the total, that means you would subtract 3 from the total, so the problem would be 5m - 3
wayne's country has a sales tax rate of 5%. How much does mike's car cost before tax if the total cost of the car plus tax is 13,032.60?
A percentage is a way to describe a part of a whole. The cost of the car is $12,412.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that Wayne's country has a sales tax rate of 5%. The total cost of the car plus tax is $13,032.60. Therefore, the total cost of the car can be written as,
The total cost of the car = Cost of the car + Tax on the car
$13,032.60 = Cost of the car + 5% of the cost of the car
Let the cost of the car be represented by x.
$13,032.60 = x + 5% of the x
$13,032.60 = x + 0.05
$13,032.60 = 1.05x
x = $13,032.60 / 1.05
x = $12,412
Hence, the cost of the car is $12,412.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
p(x) = -2x – 2; Find p(-3)
helppppppppppppppppppppp due in 2hrs
plz wacth for more questions
Answer: 9 = 6t
how many t's are there in the model? there are 6 ts. 6t makes 9, so 9 is equal to 6t.
ps. the equation could also be 6t = 9 but its basically the same thing (:
2
1
Put a ring around all the numbers that are exactly divisible by 9
3
56
• 72 93 146
198
Answer:
56, 72, and 198.
Step-by-step explanation:
Hope this helped! :)
Answer the question............
Hey there!
The answer to your first question is 4.5 inches by 6 inches.
We can solve this by doing 3 x 1.5 and 4 x 1.5, which equals 4.5 and 6.
The answer to the second part is 27 inches²
The formula for area is length times width, so you can do 4.5 x 6
The answer to the third part is Ralph is incorrect because he probably found the area of the original dimensions, and then multiplied it by 1.5. You have to find the actual dimensions first, and then find the area.
Hope this helps. Good luck, have a great day, and let me know if there's more.
Janice earns $17.60 an hour plus double overtime for weekend work. Last week, she worked her regular 30 hours plus 12 weekend hours. What was her total pay?
Answer:
17.60 X 30 =528
17.60 x 2 = 35.20
35.20 X 12= 422.40
528+422.40= 950.40
The equation kx² + px + 5 = 0 has repeated real roots. Find k in terms of p
Answer:
k= -50/p
Step-by-step explanation:
Answer is worked out in the photo above.
3. Bond energy is the energy
a. absorbed as a molecule forms.
b. change as atoms get closer together.
C. required to break a chemical bond and form separate, neutral
atoms.
d. of two covalently bonded atoms.
what does the solution to the system c,p reprent in this situation 5c+4p=18.40
2c+4p=11.20
Answer:
4 and 4/15=c. 2 and 2/15=p.
Step-by-step explanation:
I am younger than 12 i dont have much experience; done 2 or 3 problems like this...
first lets make it simpler...
2c+4p=11.20 is the same as c+2p=5.6
then subtract one from the other and you get 4c+2p=12.8
simplify again 2c+p=6.4
so the ratio of c to p is 2:1. Multiply 6.4 by 2/3 to get what c is... 64/15
64/15 is 4 and 4/15. then divide by 2 to get what p is so 64/15÷2=32/15 which is 2 and 2/15.
1
What California law did the U.S. Supreme Court recently overturn?
A
a law that required minors to stop playing violent video games
B
a law that made it a criminal offense to sell violent video games
С
a law that banned violent video games from all stores in California
D
a law that barred stores from selling violent video games to minors
Why do you think the Court ruled differently in New York Times Co. v. United States (1971) than it did in Schenck v. United States (1919)? Consider differences in the ideological composition of the Court and public opinion towards the wars.
Answer:
The case reached the Supreme Court in June 1971. The Supreme Court has, at times, ruled that the government can restrict speech that presents a “clear and present danger.”
Please help... please
These are from the same question
Answer:
a. 25%
b. 6.5%
c. 20%
Step-by-step explanation:
What is the equation of a line that is parallel to 2x +3y = 3 and passes through the point (3, -4) ?
Answer:
2x + 3y = -6
Step-by-step explanation:
The equation of the new line will be identical to that of the given line except that the constant term will differ.
Start with the given 2x + 3y = 3 and replace x with 3 and y with -4. We get:
2(3) + 3(-4) = C, and C = 6 - 12 = -6
The equation of the new line is therefore 2x + 3y = -6
what is the surface area in a square of a cube with a side of 7 inches Long
Answer:
294
Step-by-step explanation:
7*7=49
49*6=294
$1400 is divided between two accounts. One account pays $3%$ interest, while the other pays $4%$. At the end of the interest period, the interest earned was $50. How much was invested in each account?
Answer:
$60
Step-by-step explanation:
one of them got $40 and the other one $20
Simplify the expression
10m+4(7+10m)
Answer: 50m+28 :)
Step-by-step explanation:
10m+4(7+10m)
Distribute:
10m+(4)(7)+(4)(10m)
=10m+28+40m
Combine like Terms:
10m+28+40m
(10m+40m)+(28)
50m+28
Therefore, the answer is 50m+28
Answer:
5 0 + 2 8
Step-by-step explanation:
10m+4(10m+7)
10m+40m+28
50m+28
hope this helps ! </3 ~ Alyssa. xoxo
Need help ??????????????
Answer: the answer is the first one ,the third one , and the fourth
Step-by-step explanation:5x5 25
15x15 225
