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:
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Please help me! Please and thank you!
Answer:
4m+0.50
Step-by-step explanation:
What is the simplified form of 6√x•6√x•6√x•6√x
Answer:
The correct answer is
[tex]1296 { x}^{2} [/tex]
HELP I NEED HELP ASAP
FIND THE SLOPE AND Y-INTERCEPT OF THE TABLE.
good night all ✨
[tex] {\boxed{\tt 1.}} \: \: \tt 24 + 5 \times 14 \div 2 = [/tex]
[tex]{\boxed{2.}} \: \: \: \tt 200 \div 4 \times 6 = [/tex]
must accompany "step by step"! :)
Answer:
1. 24+5*14/2=
step 1. 24+5=29
step 2: 14/2=7
step 3: 29*7=59!
2. 200/4*6=
step 1: 4*6= 24
step 2: 25/200= 300!
Step-by-step explanation:
hope this helps did step by step explanation! brainliest?
1. 24+(5×14)÷2
=24+70÷2
=24+35
=59
2. 200÷4×6
=50×6
=300
I have two questions. Both need written in standard form. Please show your work!!
1.) What is : y= 1/5x + 1/3 in standard form?
2.) What is : y= 2/7x - 1/3 in standard form?
Answer:
1) 3x - 15y = 5
2) 6x - 21y = 7
Step-by-step explanation:
standard form: Ax + By = C
1) y = 1/5x + 1/3
multiply each side by 15 to eliminate fractions: 15y = 3x + 5
final form: 3x - 15y = -5
2) y = 2/7x - 1/3
multiply each side by 21 to eliminate fractions: 21y = 6x - 7
final form: 6x - 21y = 7
50 points!True or false? Will mark brainliest
Answer:
true
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2√3
Step-by-step explanation:
The sides of a 30-60-90 triangle are always in the ratio 1:√3:2.
The length of the side opposite the 90° angle is 4, so the length of the side opposite the 30° angle is 2 and the length of the side opposite the 60° angle is 2√3.
x = 2√3
Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
Graph the line that passes through the points (-1, -6) and (-8, 8) and determine the equation of the line.
Answer:
Step-by-step explanation:
need answer ASAP 30 points
a line intersects the point (-3, -7) and has a slope of -3. what is the slope-intercept equation for this line?
y= -3x + ?
The price of an item has been reduced by 60% the original price was $20 what is the price of the item now
Answer:
6
Step-by-step explanation:
20 times 0.3 is 6
Answer:
reduced by 20% so that means it is going to be 20% cheaper. You need to take off 20% of $60
20% is 0.2
of in math ALWAYS means multiply
0.2 X 60 = 12
You get 12 off
60 - 12 = 48
the new price is $48.00
Here is another way. You get 20 % off and that leaves 80% that you have to pay.
80% of 60
= 0.8 x 60
= 48
You pay $48.00
Step-by-step explanation:
A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of 564 km/h. Another jet leaves the airport one half hour later traveling at 744 km/h in the same direction. Use an equation to find how long the second jet will take to overtake the first.
A.
2 1/15 h
B.
1 17/30 h
C.
− 1 17/30 h
It's on Gradpoint
Answer:
1 hour/ 34 minutes
Step-by-step explanation:
Pleas help
Giving Brainiest
Stay Safe And Healhy
When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?
Answer:
The answer is 1/36
Step-by-step explanation:
Step one:
Given data
sample space= $1, $2,$5,$10,$20,$50
sample size= 6
Required
The probability of choosing 20 and 10 dollar bill
Step two
The probability is
1/6*1/6= 1/36
Expression of "three fifths of a number b subtracted from thrice the same number" into mathematical symbol
Answer:
3b - [tex]\frac{3}{5}[/tex] b
Step-by-step explanation:
Let the number be "b"
So the expression would be:
3b - [tex]\frac{3}{5}[/tex] b
Help me please! ASAP thank you :)
Answer:
7
Step-by-step explanation:
7+2=9
7 puzzles
7 puzzles
Gonzalo is trying to find the unit price On a 6-pack of orange juice on sale for $6.99. His sister says that at that price, each bottle of orange juice would cost over $1.05. Is she correct?
Answer:
Yes
Step-by-step explanation:
Unit prices come from dividing the price, $6.99, by the amount of product, 6,
6.99 ÷ 6 = 1.165
Now, because you cannot have more than two digits in the cents part, you would round that up to $1.17 which is over $1.05 dollars per bottle.
OK I KNOW I HAVE ASK MORE THAN ONE QUESTION BUT PLZ HELP You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for MEDICARE TAX for this pay period was $
Blank.
Find the value of x. Round to
the nearest tenth.
10
X
500
Answer:
88.16
Step-by-step explanation:
You will have to use tan to solve it
The value of x round to the nearest tenth is,
⇒ x = 85
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Base of height = 500
Angle = 10°
Now, We can formulate;
⇒ tan 10° = x / 500
⇒ 0.17 = x / 500
⇒ x = 85
Thus, The value of x round to the nearest tenth is,
⇒ x = 85
Learn more about the triangle visit;
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plssss help ASAPPP!!!!!!!
Answer:
12
Step-by-step explanation:
you have to times 2 x 6 to find your x
I'm not for sure tho but I hope it's right
The cost of a jacket was originally 40$ It was on sale for 20% how much did they save
Answer:
$9
Step-by-step explanation:
In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!
Answer: They saved $8
Step-by-step explanation:
0.20 × $40 = $8.00
Which equation shows the relationship between x and y?
Answer:
d
Step-by-step explanation:
Answer:
D. y = -3x
Step-by-step explanation:
plug x into the equation:
y = -3(-4) = 12 (s0 when x = -4, y = 12)
y = -3(-3) = 9
y = -3(-2) = 6
y = -3(-1) = 3
Plz, HELP! Heather earned 750$ at a summer job and deposited it in a bank. The savings account paid 3% simple annual interest. What is the balance in her account at the end of four years? Please Answer correctly and explain your answer. :D
Answer: 844.131607
Step-by-step explanation:
750/100=7.5
7.5 is 1%
22.5 is 3%
YEAR 1 (750+22.5) 772.5
772.5/100
7.725 is 1%
23.175 is 3%
YEAR 2 (23.175+772.5) 795.675
795.675/100
7.95675 is 1%
23.87025 is 3%
YEAR 3 (23.87025+795.675) 819.54525
819.54525/100
8.1954525 is 1%
24.5863575 is 3%
YEAR 4 (24.5863575+819.54525) 844.131607
:D Done! Please give me brainliest! It took alot of time for me to do this!
Not to great at angles! Someone help plz
Answer:
6) A
7) A
8) I can't see which angle is A
9) 70
10)45
Step-by-step explanation:
HURRY PLEASE WILL MARK BRAINLIEST PLEASE ANSWER 3 & 4!!!!!!
Answer:
Step-by-step explanation:
3. 6 in squared (a)
4. 25 cm squared (d)
ols mark brainliest if it helped!!!
Plz I need the answer
please solve this on a paper will be given brainliest
Answer:
[tex]x=2,\\x=-2,\\x=\sqrt{3},\\x=-\sqrt{3}[/tex]
Step-by-step explanation:
This is a quadratic in disguise. Let [tex]n=x^2[/tex]. We can rewrite the problem as a quadratic to solve:
[tex]n^2-7n+12=0,\\(n-3)(n-4)=0,\\n=3,\: n=4[/tex].
Now plug in these values of [tex]n[/tex] to solve:
[tex]\begin{cases}x^2=4, \:x=\pm 2\\\\x^2=3, x=\pm\sqrt{3}\end{cases}[/tex].
Therefore, our solutions are [tex]x=\pm 2, \:x=\pm\sqrt{3}[/tex].
QUICK WRITE A SHORT FICTION SOTRY 10 SENTENCES LONG IT CAN BE ABOUT ANYTHING
Answer:
One day Bob asked him mom if she could buy him a Ps5. She replied "No Bob, if you really want it you have to buy it yourself. And don't you already have that PlayStation 2 your grandma gave you?" After Bob heard that he ran out of the house to go find a job. He ran up to Mc Donald's and saw that they don't hire 15 year old's. Sadly he walked away. Then he ran up to Burger King they don't hire 15 year old's either. Then h realized he could deliver newspaper on his bike. So he went home told his mom and she was happy when he told her his idea. The next morning he set out to his new job. As he got there he realized he didn't eat breakfast but that was fine he wasn't hungry he was to happy to think about anything else but that new Ps5. He got the newspapers and started going. After he delivered 27 newspapers it started getting dark so he went home. The next day went just like the first but he actually ate breakfast. Weeks went by throwing newspapers cycling, throwing newspapers cycling, throwing newspapers cycling. After 3 months he got his paycheck, just enough for the Ps5! Happily he went to the bank cashed it out and biked to target. He parked his bike ran into target into the electronics aisle scanning for the new Ps5. Then the worker asked him politely "What are you looking for?" "A Ps5." He responded quickly. "Oh.." The worker said "Were sold out..."
Step-by-step explanation:
May I have brainiest pls I'm trying to level up!
</3 PureBeauty
Kim drives 156 miles from rotherman to London she drives the average speed of 60 miles per hour
Answer:
2 hours and 36 minutes
Step-by-step explanation:
156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London