Answer:
There were 135 adults that were served.
Step-by-step explanation:
Let's use c for child's cost and a for adult's cost.
The total amount is 1347.50. With this, we can create an equation to solve for adults.
a + c = 250
3.50c + 7a = 1347.50
Using system of equations, we can plug in values to get our answer.
c = 250 - a
3.50(250 - a) + 7a =
875 - 3.5a + 7a =
3.5a = 472.5
135 = a
115 = c (when you plug a into the equations)
There were 135 adults that were served.
Answer:
135
Step-by-step explanation:
x = number of child's plate
y= number of adult's plate
x+y=250 => 1
3.50x+7y=1347.50 => 2
Multiplying equation 1 by 3.50,
3.50x+3.50y=875 =>
Subtracting equation 3 from equation 2,
3.50x +7y - 3.50x - 3.50y = 1347.50 - 875
3.50y = 472.50
y= 135
Solve for x. 0 = 2x² + 3x + 5
Answer: No real solutions.
Step-by-step explanation:
Which angles are vertical angles?
Answer:
<DCA and <BCF
Step-by-step explanation:
The vertically opposite angles are the angles <DCA and <BCF. These angles are always equal.
When two lines cross, two angles that are vertical two one another are equal. They are know as vertically opposite angles. When two straight lines cross each other, four angles are produced. The two vertically opposite have the same values.0.52 X 2.1 =
Help i don’t understand
Answer:
1.092
Step-by-step explanation:
2 2/6 + 3 2/6?? help pls im dumb
Answer:
5 4/6
Step-by-step explanation:
You have to add the whole numbers then add the numerators of the fraction since the denominators are the same.
3. A parking fee at SM Lucena costs P25.00 for the first two hours and an extra P5.00
for each hour of extension. If you park for more than twelve hours, you instead
pay a flat rate of P100.00. Represent your parking fee using the function pit)
where t is the number of hours you parked in the mall.
Answer:
(Fill in the missing terms to show the
25 if
p(t) =} (25 + 5t) if
ift > 12
piecewise function of the problem)
Answer:
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Step-by-step explanation:
Given
1. When time is not more than 12 hours.
Base amount = P25
Additional = P5 per hour
2. When time is more than 12 hours
Fee = P100 one time payment
Represent (1) as a function of t.
p(t) = Base Amount + Additional * t
p(t) = 25 + 5 * t
P(t) = 25 + 5t --- when t ≤ 12
Represent (2) as a function
P(t) = 100 ---- when t > 12
So, the complete function is
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Describe the transformation
A) reflection across the y-axis
B) reflection across the x-axis
C) translation 4 units to the right
D) reflection across the line y=x
Option A is correct answer, reflection across y axis
Answer:
A
Step-by-step explanation:
Round 7,954 to the place named.
Answer:
8.0
Step-by-step explanation:
Answer:
8.0, 7.95, 8.0
Step-by-step explanation:
I don't know how I'm supposed to explain this but um. Yeah those are the answers
In a Petri dish a certain type of bacterium doubles in number every 40 minutes,there were originally 64,or 2^6,bacteria in the dish after 20 minutes,the number of bacteria has doubled 3 times,multiplying by 2^3.Now the population of bacteria is 2^6•2^3. Expressed as a power,how many bacteria are in the Petri dish after 120
Answer:
[tex]Population = 2^{24}[/tex]
Step-by-step explanation:
Given
[tex]Initial = 2^{6}[/tex]
Increment = doubles every 40 minutes
Required
Determine the population after 120 minutes
First, we need to determine the fraction of 120 to 40
[tex]Fraction = \frac{120}{40}[/tex]
[tex]Fraction = \frac{3}{1}[/tex]
[tex]Fraction = 3[/tex]
If for every 40 minutes, we have:
[tex]Population = 2^6*2^6[/tex]
We'll have:
[tex]Population = 2^6 * 2^{6 * 3}[/tex] at the 120the minute
[tex]Population = 2^6 * 2^{18}[/tex]
Apply law of indices
[tex]Population = 2^{6+18}[/tex]
[tex]Population = 2^{24}[/tex]
Answer:
its 2-9
Step-by-step explanation:
Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.
Answer:
six[6] snack packs.
Step-by-step explanation:
Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.
In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the Greatest Common Factor.
STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.
The factors of 18 = 1, 2, 3, 6, 9 and 18.
The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.
For the three lists, the greatest factor common to them is 6.
Therefore, The greatest number of snack packs Jane can make is six[6] snack packs
A company that makes hair care products had 6,000 people try a new shampoo of the 6.000
people, 12 had a mild allergic reaction. What percent of the people had a mild allergic reaction
Using the percentage concept, it is found that 0.2% of the people had a mild allergic reaction.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, 12 out of 6000 people had a reaction, hence:
[tex]P = \frac{12}{6000} \times 100\% = 0.2\%[/tex]
0.2% of the people had a mild allergic reaction.
More can be learned about the percentage concept at https://brainly.com/question/10491646
4x2 - 9y2 – 20x + 25
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=2x−5 and b=3y
.
(2x−5+3y)(2x−5−3y)
Step-by-step explanation:
hope this helps
The formula for profit is
P = R - C.
a. Solve the formula for R.
b. Use the new formula to find the value of R given that
P = $350 and C = $520.
Answer:
a) R=P+C
b) $870
Step-by-step explanation:
a)
since P=R-C we can do the following to solve the equation for R:
P=R-C
P+C=R-C+C (add C to both sides to get R by itself)
P+C=R
b) P=350 C=520
since R=P+C,
R=350+520
R=870
Answer:
Use the new formula to find the value of R given that
PLEASE HELP! WILL MARK BRAINLIEST
Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!
Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? (1 point)
x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right
Answer:
A number line with a closed circle on 6 and shaded to the right.
Step-by-step explanation:
Answer:a number line with a closed circle on 6 and shading to the right
Step-by-step explanation:I think I’m right! Good luck
Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its place value. I've made up a song to help you remember this. What is the rule that this is referring to? Write the rule below.
Answer:
The value of every digit in a decimal figure is given by its position in that figure.
Step-by-step explanation:
The Rule:
The value of every digit in a decimal figure is given by its position in that figure.
For the figure 8.888, from left to right,
The first 8 is in units
The second 8 is in tenth (this means 8/10 = 0.8)
The third 8 is in hundreth (this means 8/100 = 0.08)
The fourth 8 is in thousandth (this means 8/1000 = 0.008)
The sum of the place values of the digits after the decimal point = 0.888
when the unit 8 is added, you then get 8.888
help me please, it’s urgent. i know how to solve this but how does the equation go?
Answer:
Equation:
10x-5= 4x+25
And x=5
A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
The unit price are:
$0.285 for the 10.5 ounce package
$0.272 for the 29.3 ounce package.
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Step-by-step explanation:
From the question:
A 10.5-ounce package costs $2.99.
The unit price = 1 ounce.
10.5 ounce = $2.99
1 ounce = x
10.5 ounce × x = 1 ounce × $2.99
x = 1 ounce × $2.99/10.5 ounce
x = $0.2847619048
The unit price = $0.2847619048
Approximately = $0.285
A 29.3-ounce package costs $7.98.
The unit price = 1 ounce.
29.3 ounce = $7.98
1 ounce = x
29.3 ounce × x = 1 ounce × $7.98
x = 1 ounce × $7.98/29.3 ounce
x = $0.2723549488
The unit price = $0.2723549488
Approximately = $0.272
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Answer: i did this test
Step-by-step explanation:
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
From Jacksonville to Washington is 711 miles. By bus it takes 3 hours more to travel to Washington than it takes by train. The train from Jacksonville to Washington travels at 79 mph, while the bus travels at 59.25 mph. Find the time it takes to travel to Washington by train, and by bus.
Answer:
Train =9 hours
Bus =12 hours
Step-by-step explanation:
Find attached the solution
Let the time taken by train be x
So the time taken by bus = 3+x
Speed of train =79 mph
Speed of bus = 59.25mph
Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When he filled the tank, he recorded the mileage as 24,033 miles. It cost him $83.38 to fill his completely empty gas tank. Then If gas cost $3.79 per gallon, how many gallons of gas can his tank hold? Then When he got to their destination there was exactly ¼ that amount of gas left in the tank. The new mileage on the truck was 24,297 miles. Determine the gas mileage, in miles per gallon, for the trip. How many gallons were used? How many miles were driven? How many miles per gallon did his truck get?
Step-by-step explanation:
Given data
initial mileage=24,033 miles.
cost to fill tank=$83.38
cost per gallon= $3.79
1. capacity of tank=83.38/3.79=22 gallons
remianing gas= 1/4*22= 5.5gal
gas used= 22-5.5= 16.5gal
new mileage= 24,297 miles.
mile covered= 24,297 miles.-24,033 miles.
=264miles
miles per gallon is =264/16.5
=16miles per gallon
Lines Project Journal
need help for number 3
Answer:
Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.
Example:
Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).
First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.
We have: |-2-(-7)| = |5| = 5.
Then repeat with the y-coordinates.
We have: |8-(-5)| = |13| = 13.
NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.
Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:
[tex]5^{2}[/tex] + [tex]13^{2}[/tex] = 25 + 169 = 194
Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:
[tex]\sqrt(194)[/tex] = 13.93
By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.
The general formula for distance between two points is the following: [tex]\sqrt{x^2+y^{2}[/tex] , where x and y are the change in x and y between the two points.
State the range of the relation. {(3,-2),(4,-3),(5,-4),(6,0)} *
Answer:
range { -4,-3,-2,0}
Step-by-step explanation:
The range is the output values
range { -4,-3,-2,0}
Six less than 2/3 of a
number is eighteen.
Answer:
36
Step-by-step explanation:
i think
Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?
Answer:
18.3
Step-by-step explanation:
384.3 divided by 21
A 20 gallon tank is full. How many gallons are in the tank?
Answer:
20???
Step-by-step explanation:
A 24-ounce bag of name brand of cereal is $1.19. How much is it per ounce? Round to the nearest cent.
Answer:
It would be around 5 cents an ounce
Step-by-step explanation:
0.04958333333 would be the answer but you have to round to the nearest cent so the correct and proper answer would be .05 cents per ounce
Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...
Answer:
djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont
fill in the missing number in the table for the equation y= -3 + 2
y = -3x + 2?
Plug in the value x = 6.
y = -3(6) + 2
y = -18 + 2
y = -16
Hope this helps
Find the area of the rectangle contained within the following four lines
x =1, x = -2 , y= -3, y=2
How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION
Answer:
should be 15 hope I helped you out.
Step-by-step explanation:
Answer:
15 sq unit
Step-by-step explanation:
Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.
the length of the said rectangle will be l = 1 + (-2)
and the breath b = 2 + (-3)
Area= lxb = 15 sq.unit
-2 = ( 4 + z ) / -2
I need help answer fast