A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?
9514 1404 393
Answer:
375 hamburgers
Step-by-step explanation:
Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...
h +(h +63) = 813
2h = 813 -63 = 750
h = 750/2 = 375
375 hamburgers were sold on Saturday.
_____
Additional comment
In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.
Going through (-2,2) and (2,-2) Write the equation of lines with the following through
Answer:
Step-by-step explanation:
Seems like your question might be missing some parts.
If Not, Then
a line through the given points would have the form
y = mx + b
where m is the slope and b the y intercept
m = Δy/Δx = (-2 - 2) / (2 - (-2)) = -1
y = (-1)x + b
y = -x + b
now plugging in either point to find b
2 = -(-2) + b
b = 0
y = -x + 0
y = -x
Answer:
Step-by-step explanation:
(-2 - 2)/(2 + 2) = -4/4= -1
y - 2 = -(x + 2)
y - 2 = -x - 2
y = -x
Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements
in either Set A or Set B is 75, how many elements do Sets A and B have in common?
B u A = 48
B = 45
The part of set B not included in A is B - A∩B = 45 - 7 = 38
Since B u A = 48, A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).
------
Alternatively, the inclusion-exclusion principle may be used: A + B - (A ∩ B) = A u B
A + 45 - 7 = 48
A = 48 - 45 + 7
A = 10
NOTE that I'm using A and B to indicate the number of elements in each set, respectively.
More formally, one would write |A| and |B| to indicate the cardinality (number of elements) of the set.
Juan wants to buy a video game for $63. He saves $12 every Friday. Part A. Create an equation to represent Juan's total savings, y, in dollars, after x Fridays. y
Answer:
Answer in explanation.
Step-by-step explanation:
An equation to represent Juan's total savings y, in dollars, after x Fridays will be;
⇒ y = 12x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Juan wants to buy a video game for $63.
And, He saves $12 every Friday.
Now,
Let total dollars after x Friday = y
And, He saves $12 every Friday.
So, We can formulate;
⇒ Total money (y) = 12x
⇒ y = 12x
Thus, An equation to represent Juan's total savings y, in dollars, after x Fridays will be;
⇒ y = 12x
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I need help with a pre calc/ law of sines question
Answer:
The c will equal 2.56
Step-by-step explanation:
The A will equal 42.48 degrees
The B will equal 96.92 degrees
Mia, jade, and Amelia sell car wash tickets. Jade sells 8 more tickets then Mia. Amelia sells twice as many tickets as Mia. The friends sell a total of 296 tickets. How many tickets does each friend sell?
Answer:
Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.
Step-by-step explanation:
You can solve this question by coming up with equations for each friend and then substituting them into the equation M + J + A = 296
Jade sells 8 more tickets than Mia, so Jade's equation for how many tickets she sold is the amount of tickets that Mia sold + 8:
J = M + 8
Amelia sells twice as many tickets as Mia, so her equation is the amount of tickets Mia sold * 2:
A = 2 * M
Now we can substitute these equations into the overall one.
M + (M + 8) + (2M) = 296
Now we can combine like terms and solve for M.
2M + 8 + 2M = 296
4M + 8 = 296
4M = 288
M = 72
We now have the amount of tickets Mia sold, so we can insert this number into the equations for Amelia and Jade.
J = M + 8
J = 72 + 8
J = 80
A = M * 2
A = 72 * 2
A = 144
So Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.
The solution is Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of tickets sold by Mia , Jade and Amelia be M , J and A respectively
Total number of tickets = 296
So , M + J + A = 296 be equation (1)
Now , Jade sells 8 more tickets then Mia
So , J = M + 8 be equation (2)
Subtracting 8 on both sides , we get
M = J - 8 equation (3)
Now , Amelia sells twice as many tickets as Mia
So , A = 2M be equation (4)
Substituting the value of J and A in equation (1) , we get
M + ( M + 8 ) + 2 M = 296
4M + 8 = 296
Subtracting 8 from both sides , we get
4M = 288
Divide by 4 on both sides , we get
M = 72
The number of tickets sold by Mia = 72
Substituting the value of M in equation (2) and equation (4) , we get
J = M + 8
J = 80
The number of tickets sold by Jade = 80
A = 2M
A = 144
The number of tickets sold by Amelia = 144
Hence , The number of tickets sold by Mia is 72 tickets, Jade is 80 tickets, and Amelia is 144 tickets
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Write the ratio as a ratio of whole numbers using fractional notation.
45 days to 24 days
The ratio of 45 days to 24 days can be written in fractional form as
(Type the ratio as a simplified fraction.)
Answer:
15:8=15/8
Step-by-step explanation:
45:24=45/24
15/8=15:8
slope=1/3 y intercept=-1
Answer:
3y=1 i hope it helps!
Step-by-step explanation:
Approximately 19% of physics majors in the US are women. To test whether your college differs significantly from the national average, you take a random sample of 50 physics majors at your college and find that 11 are female. Calculate the appropriate test statistic to determine whether your college differs significantly from the national rate
Testing the hypothesis, it is found that the appropriate test statistic is z = 0.54.
At the null hypothesis, it is tested if the proportion of women physics majors in your college is the same as the national average of 19%, that is:
[tex]H_0: p = 0.19[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.19[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.19, n = 50, \overline{p} = \frac{11}{50} = 0.22[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.22 - 0.19}{\sqrt{\frac{0.19(0.81)}{50}}}[/tex]
[tex]z = 0.54[/tex]
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How do you know whether two quantities x and y are proportional?
Answer:
I did this question for my little brother. and the answer is A. I think.
How many numbers are prime between 40 and 50?
Step-by-step explanation:
Correct answer:
(The primes between 40 and 50 are 41, 43, and 47 - three.
2. In the formula I = P x r x t, what does r stand for? a. Rate: the percent that interest is paid annually as a decimal b. Ratio: the size of the interest interval compared to time c. Return: how much money you end up earning d. Reserves: how much money you have in the investment
Answer:
I will answer this soon I don't remember
Answer:
A. Rate: the percent that interest is paid annually as a decimal
Step-by-step explanation:
Edge 2022 got the answer right :)
Calculations with Percent - Item 35698
Question 7
Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Complete the model.
25%
75%
Number of baskets with 12 piece of
fruit:
Number of baskets with 15 pieces of fruit:
60 fruit baskets
The number of baskets with 12 piece of fruit is 15.
The number of baskets with 15 pieces of fruit is 45.
Percentage is the fraction out of a number expressed as a number out of hundred. The sign used to represent percentages is %.
In order to determine the number of baskets that have 12 pieces of fruits and 15 pieces of fruits, multiply the given percentages by the total number of fruit baskets.
Number of baskets with 12 piece of fruit: 25% x 60 = 0.25 x 60 = 15
Number of baskets with 15 pieces of fruit: 75% x 60 = 0.75 x 60 = 45
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If Noah has 527,300,000 and Margho has 106,570,000. How much do they have in all?
Can someone help me pls?
Answer:
633,870,000
Step-by-step explanation:
Add it together either on a calculator of a sheet of paper.
Which of the following is a solution to the system of two equations y = 3x – 1 and y = 2x + 3?
please
Please help! Cant figure this one out!
Answer:
20.5
Step-by-step explanation:
Given that shapes are similar:
45 = 2x + 4 subtract 4 from both sides
41 = 2x divide both sides by 2
20.5 = x
the following points lies in the solution set of the system of inequalities shown graphed below?
A. (1, 0)
B. (2, 2)
C. (-4, 0)
D. (2, -4)
Will mark as brain list if answered correctly
Answer:
The answer is 3
Step-by-step explanation:
I am sure.
Answer: i think it is 3
Step-by-step explanation:
On the unit circle, where 0 less-than pi, when is tangent theta undefined?
Theta = pi and Theta = 2 pi
sine theta = cosine theta
Pi = StartFraction pi Over 2 EndFraction and Pi = StartFraction 3 pi Over 2 EndFraction
sin theta = StartFraction 1 Over cosine theta EndFraction
Answer:
Option 3
Step-by-step explanation:
As tanθ = sinθ/cosθ, tanθ will have a problem when cosθ goes to zero.
cosθ is at 0 when θ = π/2 and at 3π/2
Answer:
c
Step-by-step explanation:
c
6=2(y+2) what is the value of y in the equation
Answer: the value of y is 1
Step-by-step explanation: 6=2 x 1+2
Hey everyone! I need some help with this one.
What is the range of this relation?
Answer:
ok so first lets look for the highest y value which is 4
the lowest one is -4
so -4<x>4
The answer is c
Hope This Helps!!!
i need help! i will be giving brainliest if you actually show the work and dont troll :)
Answer:
you do 215 times $0.25 you get $53.75 you take that away from $3272.30 you get $3218.55 then you divide that by 215 you get $14.97 so the answer is she makes $14.97 on one pair of earrings.
Step-by-step explanation:
Plz mark brainliest
A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.
Answer:
radius: 1460 micircumference: 9174 miStep-by-step explanation:
If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...
82.6°/360° = 413/1800 ≈ 0.229444...(repeating)
The relation between the given distance and the circumference is ...
0.294444C = 2105 mi
C = 2105 mi/0.294444 ≈ 9174 mi
The radius of the spherical planet is this divided by 2π:
r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi
The radius of the planet is about 1460 miles; the circumference is about 9174 miles.
What is the slope of the line? The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. O-3 O- 3 Prism vs. Pyramid 1 10 M 9 8 3 Prism Volume (cubic units) 6 5 3 1 2 3 4 5 6 7 8 9 10 Duramid Valuma louhin rinite! Save and Exit Nect Submit Mark this and retum
Answer:
3
Step-by-step explanation:
y=3x
The homeowners association for a residential community is selecting a committee of 7. There are 24 candidates for positions. How many possible committees can be formed?
Answer: 168
Step-by-step explanation:
Times the two numbers together to get the combinations.
24x7=168
Possible number of committees formed is equals to 3.
What is number?
" Number is defined as the arithmetic value which represents the count of any given quantity."
According to the question,
Total number of candidates for positions = 24
Number of candidate selected for 1 committee = 7
Total possible number of committees = [tex]\frac{24}{7}[/tex]
= 3.428
≈ 3 committees (approximate)
As one committee is formed by 7 candidates , it can not be in decimals or fractions.
Hence, possible number of committees formed is equals to 3.
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Alvin’s family used 18.5 gallons of gas to drive 518 miles. How many miles did they drive per gallon of gas?
Please help me
Answer:
the answer is 1.2
Step-by-step explanation:
The number of miles Alvin’s family drive per gallon of gas is 28 miles.
Given that, Alvin’s family used 18.5 gallons of gas to drive 518 miles.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of miles drive per gallon of gas = Total number of miles ÷ Total number of gallons
= 518 ÷ 18.5
= 28 miles
Hence, the number of miles Alvin’s family drive per gallon of gas is 28 miles.
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In a sequence of four numbers, the difference between each number is 7.
The sum of the four numbers is 6.
What are the numbers in the sequence?
You must show all your working.
Answer:
Step-by-step explanation:
Let x be the lowest number of the four
x + (x + 7) + (x + 14) + (x + 21) = 6
4x + 42 = 6
4x = -36
x = -9
-9 + 7 = - 2
-9 + 14 = 5
-9 + 21 = 12
-9. -2, 5, 12
help with this i dont understand please
Answer:
see explanation
Step-by-step explanation:
The rule explains what happens to the input value in order to obtain the output.
input = 4 , then divide by 4
4 ÷ 4 = 1 , then add 2
1 + 2 = 3
---------------------------------------
input = 6 , divide by 4
6 ÷ 4 = 1,5 . now add 2
1.5 + 2 = 3.5
-----------------------------------------
input = 8 , divide by 4
8 ÷ 4 = 2 , now add 2
2 + 2 = 4
-------------------------------------------
input = 10 , divide by 4
10 ÷ 4 = 2.5 , now add 2
2.5 + 2 = 4.5
--------------------------------------------
input | 0 | 2 | 4 | 6 | 8 | 10
------------------------------------------
output| 0 | 2.5 | 3 | 3.5 | 4 | 4.5
Answer:
Ok, Dear This is the most easy question.
Focus with me , Ill tell you the answer and explain it
First answer :3
Secound answer:3.5
Third answer:4
Last one :4.5
Step-by-step explanation:
So Baisicly,
First answer : We Devide 4 by 4 so its equal to 1 and then we add 2 then its equal to 3.
Secound answer: We divide 6 by 4 so it becomes 1.5 and then add 2 so itll become 3.5.
Thid answer: We divide 4 by 8 and so it becomes equal to 2 and then we add 2 so its 4.
Last one: We divide 4 by 10 and so it becomes 2.5 and then we add 2 so itll become 4.5.
Given that f(x) = x2 + 8x – 5 and b = f(4), what is the value of -b? (Use only the digits 0-9 and the negative sign if necessary to enter the value.)
If 1 + 2 = 1, 2 + 3 = 2, 3 + 4 = 3, 4 + 5 = 4, … 50 + 51 = 50 and 51 +
1 = 51, then what is the sum of 1, 2, 3, … , 51?
Answer: 1326
Step-by-step explanation: There is no factorial for addition however the formula n (n+1)/2 works for this where n is the last number of your addition (in this case 51).
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