Answer:
15 hamburgers were sold and 30 hotdogs were sold.
The systems of equations are x + y = 45 and 4x + 5y = 195.
Step-by-step explanation:
Let's make two equations.
x + y = 45
This represents the total of hotdogs and hamburgers sold
4x + 5y = 195
This represents the amount of money made for each food.
These are systems of equations, when you use 2 equations to solve a problem. I will use the strategy, Elimination for the following systems of equations. Anyways the goal is to multiply a number to x + y = 45 to cancel out one of the variables in 4x + 5y = 195. In other words, when we add these equations, the sum of the xs or ys will equal 0.
Let's multiply -5 to both x and y.
Now we have -5x -5y = -225 + 4x + 5y= 195
We will end up with -x = -30. This means that x = 30.
Now that we know x = 30, we can plug in 30 as x in one of the equations. I will plug in 30 into x + y = 45. 30 + y = 45.
Solve for y in 30 + y = 45, so y=15.
This means 15 hamburgers were sold and 30 hotdogs were sold.
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much flour is used for 1 cup of sugar
Answer:
2.5
Step-by-step explanation:
If the ratio is 5:2, then you just have to divide 5 / 2.
5 / 2 = 2.5
Answer:
If 5 cups of flour= 2 cups of sugar
1 cup=1×2/5
=2/5
Step-by-step explanation:
If you spend 540 minutes per year waiting in lines, how many hours is this?
Answer:
540 minutes in hours =540/60
=9 hours
The time 540 minutes in hours will be 9 hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the time is 540 minutes. The value of time in hours will be calculated as,
The time of 60 minutes is equal to 1 hour. So divide the time 540 minutes by 60 minutes.
Time = 540 / 60
Time = 9 hours
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9 - 5k = 12 - (6k + 7)
help
Answer:
k = 10
Step-by-step explanation:
9 - 5k = 12 - (6k + 7)
open the parenthesis
9 - 5k = 12 - 6k - 7
add 6k to both sides of the equation
9 - 5k + 6k = 12 - 6k - 7 + 6k
combine like terms
9 + k = 19
subtract 9 from both sides of the equation
9 + k - 9 = 19 - 9
k = 10
how can you work with anybody annoying you white your working at home on a test?
Please include an explanation.
"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.
Answer:
a = 730.43
Step-by-step explanation:
The formula for this type of problem is [ a = kb²/c³ ].
We are given a = 171, b = 8 and c = 9.
Solve for k.
171 = k(8)²/(9)³
k = 1947.80
Solve for a since we found k using b = 9 and c = 6.
a = (1947.80)(9)²/6³
a = 730.425
Round to the nearest hundredth.
730.425 → 730.43
Best of Luck!
Answer:
730.42
Step-by-step explanation:
a varies directly with the square of b, and inversely with the cube of c. Therefore:
a = k b² / c³
where k is the constant of proportionality.
a = 171 when b = 8 and c = 9. So the value of k is:
171 = k (8)² / (9)³
k ≈ 1947.8
So the value of a when b = 9 and c = 6 is:
a = 1947.8 (9)² / (6)³
a ≈ 730.42
long division help :)
I’m confused
Answer:
the answer is 27
i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0
this is my statement and i did this on paper and got this right!
Answer:
27
Step-by-step explanation:
See photo below
6.333 x 10^2
HHHEEEEELLLLLLLPPPPP!
Answer:
See Below
Step-by-step explanation:
6.333 x 10^2
10^2 = 100
since there is 2 zeros, move the decimal to the right twice.
633.3
Divide. Round your answer to the nearest whole number.
5,481 - 0.605
Answer:
Step-by-step explanation:
It matters what the order is when you do the rounding.
5481 = 5500
0.605 = 1
The rounded answer is 5500 / 1 = 5500
However if you do the question and then round you get a much closer answer.
5481 ÷ 0.605 = 10712
Is 2|12 true or false
Answer:
true
Step-by-step explanation:
Because it is
PLEASE HELP
Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
Answer:
Use a^2 + b^2 = c^2 and substitute
18^2 + 24^2 = c^2
Solve what we know
324 + 576 = c^2
324 + 576 = 900
Square root 900 to get C
sqrt of 900 equals 30
So, yes he can fit the baseball bat in his suitcase
What is the equation of this line? (shown in picture)
A. Y = -1/4x
B. Y = 4x
C. Y = -4x
D. Y = 1/4x
The answer is B. Hope this helped.
state which of the following sets of ordered pairs represents a function. Please pick the best option
Set A: (5, 2), (4, 3), (3, 4), (2, 5) Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a. Set C
b. Set B
c. Set A
d. Set A and Set B
I would really appreciate it if you could help me out!
Answer:
set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range
Solve 6y + 2x = 14 for x.
What is 797 rounded to the nearest ten?
Answer: 800
Step-by-step explanation:
Is <1 and <7 supplementary
The cost of a pair of shoes was reduced from $60 to $45.
By what percent did the cost of the pair of shoes decrease?
A 2.5%
B 25%
C 30%
D 35%
Answer:
B. 25%
Step-by-step explanation:
25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.
The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The initial cost of a pair of shoes = $60
Final cost of a pair of shoes = $45
Change in cost = 60 - 45 = 15
The percentage change = change / initial value
Percentage = 15/60
⇒ 0.25 × 100 = 25%
Hence "The cost of a pair of shoes has been reduced by 25%".
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The greatest comen factor of 21, 30,49
Evaluate the distance from -4 to 8.
Answer:
12
Step-by-step explanation:
-4 + 4 = 0
0 + 8 = 8
4 + 8 = 12
A grocery store sells a bag of 5 oranges for $3.00. What is the cost of oranges, in dollars per orange? On the double number line below, fill in the given values, then use multiplication or division to find the missing value
Answer:
0.6
Step-by-step explanation:
5:3
x:1
3x=5
x=0.6
Can someone help ? Thankssss
Answer:
im not sure but I think is c
Evaluate 4m+23+n/p−3, when m=7, n=2, and p=8.
Answer:
48 1/4
Step-by-step explanation:
plug in the values of m,n,p
4*7+23+2/8-3
= 28+23+1/4-3
= 28+23-3+1/4
= 28+20+1/4
= 48 1/4
2. What is the quotient if you divide 15 1/3 by 18/23
There are 150 people in a school dance. The ratio of adult to students is 2: 3. How
many adults are in the dance ?
Answer:
60 adults
Step-by-step explanation:
There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!
A can of fruit contains 411 grams. One gram is approximately 0.035 ounces. About how many ounces does the can contain?
Answer:
14.385 ounces
Step-by-step explanation:
Converting grams to ounces:
1g ----- 0.035 ounces
411g ----- ?
Since we multiply 411 to the left hand side, multiply the left hand side by 411 too.
411g
= 0.035(411) ounces
= 14.385 ounces
Thus, the can contains 14.385 ounces of fruit.
Determine whether the following graph represents a function.
PLZ HELP!! the picture is above
Answer:
yes it is a function
Step-by-step explanation:
You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 7,200 J
B. 60 J
C. 14,400 J
D. 29 J
This is for apex i need help asap
Hello, if someone can help me with this question that would be great!
Answer:
y = -5x+0
or y = -5
because the gradient is -5 and the y intercept is 0
Which point is on the line that passes through point Z and is perpendicular to line AB? (–4, 1) (1, –2 ) (2, 0) (4, 4)
Answer:
the answer is (-4,1)
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
Use the Slope Formula to find the slope of the line with points (1,-4) and (-3,3)
Answer:
-7/4
Step-by-step explanation:
Since we have two points we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 3 - -4)/( -3 -1)
( 3+4) / ( -3 -1)
7/-4
-7/4
If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?
3
3.2
4
4.6
Answer:
4 is the correct answer.
Step-by-step explanation:
If you're taking FLVS math then this is the right answer, I got it correct on my test.
The required measure of EF is 4. Option c is correct.
ΔABC ≅ ΔEDF
A(−1, 1), B(2, 4), and C(3, 1).
In congruent geometry, the shapes that are so identical. Can be coincide to themselves.
Here,
ΔABC ≅ ΔEDF
SO, AC = EF
EF = [tex]\sqrt{(3+1)^2+(1-1)^2 }[/tex]
EF = 4
Thus, the required measure of EF is 4.
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