If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
here, we have,
The total number of hot dogs and sodas sold is 104 and the number of sodas sold was 3 times the number of hot dogs sold.
We have to form an equation first.
let the number of hot dogs sold be x.
Number of sodas will be 3x.
According to question :
x+3x=104
4x=104
x=26
Put the value of x in 3x to get the number of sodas sold.
=3x
=3*26
=78
Hence If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.
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What is The least common denominator of 11/12, 7/9, and 2/3
Answer:
261?
Step-by-step explanation:
LCD = 261
Equivalent Fractions with the LCD
11/29 = 99/261
7/9 = 203/261
2/3 = 174/261
how many units apart are (-1,4) and (2,-1)
Answer:
Those points are [tex]\sqrt{34}[/tex] units apart.
what is 550 x 34 ?????
Answer:
18,700
Step-by-step explanation:
Answer:
18,700
Step-by-step explanation:
i hope this helps
Use the ordered pairs shown in the table below.
X:20,30,40,50
Y:30,45,60,75
which equation represents the data in the table?
A: y=1.5y
B:x=1/3y
C:x=1.5y
D:y=2/3x
Answer:
A.
Step-by-step explanation:
if you multiply 20 times 1.5 you get 30. If you multiply 30 times 1.5 you get 45. If you multiply 40 times 1.5 you get 60. If you multiply 50 times 1.5 you get 75 . meaning that y equals 1.5
Complete the following statement about the Empirical Rule.
According to the Empiricalâ Rule, if a distribution isâ bell-shaped, then approximately _______________ of the data will lie within 1 standard deviation of theâ mean; approximately ____________ 95% 99.7% 68% of the data will lie within 2 standard deviations of theâ mean; approximately ______________ 68% 95% 99.7% of the data will lie within 3 standard deviations of the mean.
Answer:
1. 68%
2. 95%
3. 99.7
Step-by-step explanation:
Standard deviation of mean will be 68%, 95%, and 99.73% respectively.
What is Empirical Rule?A statistical rule known as the empirical rule, which is also known as the three-sigma rule or the 68-95-99.7 rule, states that almost all observed data for a normal distribution will be within three standard deviations of the mean or average.
Given according to the empirical rule, 68% of observations will fall within the first standard deviation (µ ± σ), 95% will fall within the first two standard deviations (µ ± 2σ), and 99.7% will fall within the first three standard deviations(µ ± 3σ) .
Hence SD of mean will be 68%, 95%, and 99.73%
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A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x <10 represent the situation.
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answer:
There are infinite solutions because there is always another number between any two numbers.
Step-by-step explanation:
5 3/4 x 2 1/6 ayuda por favor
Find the midpoint of the line segment with these endpoints: (-3,-8), (9,3)
Answer:
Step-by-step explanation:
(3,-5/2)
The midpoint of the line segment with these endpoints (-3, -8) and (9, 3) will be (0, 0.5).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoints of the line segment are given below.
(-3, -8) and (9, 3)
The midpoint of the line segment is calculated as,
(x, y) = [(-3 + 3) / 2, (-8 + 9)/ 2]
(x, y) = (0/2, 1/2)
(x, y) = (0, 0.5)
The midpoint of the line fragment with these endpoints (- 3, - 8) and (9, 3) will be (0, 0.5).
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If $700 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is Ant 700(1.03)^t.
Required:
a. Find the average rate of change per year of the total amount in the account for the first four years of the investment (from t= 0 to t= 4).
b. Find the average rate of change per year of the total amount in the account for the second four years of the investment (from t=4 to t=8)
c. Estimate the instantaneous rate of change for t =4.
d. The average rate of change per year of the total amount in the account for the first years of the investment â(from t= 0 to t=4â) is ___________â$
e. The average rate of change per year of the total amount in the account for the second years of the investment â(from t= 0 to t=4â) is_____________ â$
f. The instantaneous rate of change for t=4 is about â$_____________
Answer:
21.96 ; 24.72
Step-by-step explanation:
Given that :
Give the equation:
A(t) = 700(1.03)^t
A.)
Average rate of change over the first 4 years ;
(t=0 to t=4)
At t = 0
A(0) = 700(1.03)^0 = 700
A(1) = 700(1.03)^1 = 721
A(2) = 700(1.03)^2 = 742.63
A(3) = 700(1.03)^3 = 764. 9089
A(4) = 700(1.03)^4 = 787.856167
[(721 - 700) + (742.63 - 721) + (764.9089 - 742.63) + (787.856167 - 764.9089)] / 4
= 87.856167 / 4
= 21.96404175
= 21.96
Over the 2nd 4 years :
A(4) = 700(1.03)^4 = 787.856167
A(5) = 700(1.03)^5 = 811.49185201
A(6) = 700(1.03)^6 = 835.8366075703
A(7) = 700(1.03)^7 = 860.911705797409
A(8) = 700(1.03)^8 = 886.73905697133127
[(811.49185201 - 787.856167) + (835.8366075703 - 811.49185201) + (860.911705797409 - 835.8366075703) + (886.73905697133127 - 860.911705797409)] / 4
= 98.88288997133127 / 4
= 24.72
HELP ME PLZZZZZZ
ALL OF THEM
thx for the help :)
1. 9/4
2.67/8
3.17/6
4.9/2
5.16/3
6.127/12
7.37/4
8.31/6
9.40/6
10.73/7
11.34/3
12.41/2
AM I RIGHT? I will mark BRAINLIEST
Answer:
3
Step-by-step explanation:
The scale factor is actually 3 broski
Answer:
no, its 1/3!!
Step-by-step explanation:
27 x 1/3 = 9
21 x 1/3 = 7
PLEASE HELP I WILL GIVE BRAINLEST!!
Answer:
8 1/8
Step-by-step explanation:
I used a calculator....
(hope this helps :P)
NEED HEPL ASAP. If mZPOQ = 19, and mZQOR = 31
and mZROS = 15, what is mZPOS?
Answer:
65
Step-by-step explanation:
just to sum all the given measurements:
19+31+15=65.
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A rocking horse has a weight limit of 60 pounds.
What percentage of the weight limit is 33 pounds?
What percentage of the weight limit is 114 pounds?
What weight is 95% of the limit?
please answer asap with explanation qwq
Answer:
1. 55%
2. 190%
Step-by-step explanation:
1a. set up an expression.
33/60 = x/100
33 out of 60 is the 33 pounds out of the 60 weight limit. The x is what you're solving for, and the 100 is the given percent, because the percent is always going to be out of 100%.
1b. do cross multiplication; so do 33*100, which equals 3300
1c. divide; 3300 divided by 60, which equals 55.
For the second problem, do the same thing. your expression should be 114/60 = x/100
Find the missing value
Answer:i think it would be 349
Step-by-step explanation:
Add the 3 numbers that you know.
Multiply the mean of 73 by 5 (numbers you have).
Add the numbers you are given.
Subtract the sum you have from the total sum to find your missing number.
Order of operations. Need to find the unknown number. Help?
8 + 2 x 5 = m
9 - 7 + 2 = k
7 x 8 - 6 = g
16 + 4 divide 2 = s
12 - 6 divide 2 = y
36 divide 6 + 13 = f
Answer:
m = 18
k = 4
g = 50
s = 18
y = 9
f = 19
Step-by-step explanation:
Which equation is not a polynomial.
A.-sqrt(2)
B.-3x^2+xy-2y^2
C.x^/y +3xy -2y^2/x
D.sqrt(2a^2)-4xy-2x^2y^2
E.5x^-2 +x^-1 y-2
An experiment consists of first rolling a die and then tossing a coin. (a) List the sample space. {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (3, T), (4, H), (4, T)} {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} (b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.)
Answer:
(a)
[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]
(b)
[tex]P(A) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
The above sample space
A = Event of an occurrence of 3 or 4 then a head
(a): List out the sample space:
The rolls of the dice come first, followed by the toss of the coin.
So, the sample space are:
[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]
The number of the sample space is:
[tex]n(S) = 12[/tex]
(b): Find P(A)
First, we list out the outcomes of event A
[tex]A = \{(3,H),(4,H)\}[/tex]
The number of outcome is:
[tex]n(A) = 2[/tex]
The probability of A is then calculated as:
[tex]P(A) = \frac{n(A)}{n(S)}[/tex]
[tex]P(A) = \frac{2}{12}[/tex]
Simplify fraction
[tex]P(A) = \frac{1}{6}[/tex]
The point is (8,9) is a solution to this system
Answer:
False
Step-by-step explanation:
I got that they intercepted at (10.857,0.4286)
y=1/2x-5
y=-3x+33
Plz, Help me! I will give a point if you help answer! with 5 star rating, Thanks, and Brainliest!
Answer:
-4/10+(-7/10)= -1 1/10(the bottom left one)
Step-by-step explanation:
starts from 0 and subtract 4/10. From there you subtract 7/10 more.
2) The sum of 5x and 2x is at least 14
A.
5x + 2x > 14
B.
5x + 2x < 14
C.
5x + 2x ≤ 14
D.
5x + 2x ≥ 14
Answer:
b
Step-by-step explanation:
if it is less than 14 then the big side of the arrow would be facing the 14
Answer:
Step-by-step explanation:
5x + 2x > 14= x>2
5x + 2x < 14= x<2
5x + 2x ≤ 14= x≤2
5x + 2x ≥ 14= x≥2
Lauren has a purse full of dimes and quarters. She has 25 less dimes than quarters. If she has a total of $10.45, which system of equations would she write to find the number of dimes, d and quarters, q?
Answer:
D(0.10) + Q(0.25) = 10.45
Q = D + 25 (or Q - D = 25)
Step-by-step explanation:
D = number of dimes
Q = number of quarters
D(0.10) + Q(0.25) = 10.45
Q = D - 25 (or D - Q = 25)
We multiply the number of dimes she has by $0.10, because that is the worth of each dime, and we multiply the number of quarters she has by $0.25 because that is the worth of each quarter. We then set that equal to $10.45, the overall value of her coins.
Because she has 25 less dimes than quarters, the number of dimes she has should be 25 less than the number of quarters she has. So the number of quarters she has should be equal to the number of dimes she has plus 25.
math nation section 7
which question do you need help with?
Answer:
I don't understand the ques?
Step-by-step explanation:
HELP NOWWWWW PLEASEEEEE
How many 1/3's are in 1 and 2/3?
Answer:
5 thirds
Step-by-step explanation:
Make 1 2/3 into a improper fraction. Now you have 5/3. 5/3-(1/3*5)=0
Therefore, 5x1/3=5/3=1 2/3
Answer:
This guy is wrong. 1 2/3 is equal to 5/3. But that is not the answer(like that dummy above said)
The Question is asking "How many 1/3's are in 1 2/3" (5/3)
The answer is 5, not 5/3's.
(11 - 3) x [ 15 + (10 - 5)] write 3 steps using pemdas
Answer:
160
Step-by-step explanation:
Find the rate of change in a table
Answer:
excuss me where the picture
Step-by-step explanation:
In Part C, you determined that the proper ratio of packages of buns, packages of patties, and jars of pickles is 3:2:4. If you want to feed at least 420 people, but also maintain the proper ratio, what minimum number of packages of buns, packages of patties, and jars of pickles do you need, respectively
Answer:
packages of buns = 1,260
packages of patties = 840
Jars of pickles = 1,680
Step-by-step explanation:
packages of buns = 3
packages of patties = 2
Jars of pickles = 4
Number of people = 420
Each person of the 420 people gets packages of buns, packages of patties, and jars of pickles in the ratio 3:2:4
packages of buns needed for 420 people = 3 × 420
= 1,260
packages of patties needed for 420 people = 2 × 420
= 840
Jars of pickles needed for 420 people = 4 × 420
= 1,680
packages of buns = 1,260
packages of patties = 840
Jars of pickles = 1,680
To feed at least 420 people minimum number of packages of buns, packages of patties, and jars of pickles needed is 1,260, 840, 1,680 respectively.
divide 49 ÷ 8 = and show your work
Answer:
6
Step-by-step explanation:
Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (6) by the divisor 8 . Subtract 48 from 48 . The result of division of 48÷8 48 ÷ 8 is 6
The required, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.
To divide 49 by 8, you can use long division to find the quotient.
Determine how many times the divisor (8) can fit into the new number (49). In this case, 8 goes into 49 six times. Subtract the result (48) from the number you brought down (49). 49 - 48 = 1. Write the result (1) below the line.
6
_______
8 | 49
- 48 (8 times 6)
______
1 (Remaining 1 after subtracting)
Therefore, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.
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What would the economic situation of the country be if its income from overseas is more than its expenses?
A.
GNP would be higher than GDP
B.
GDP would be higher than GNP
C.
no effect on GNP or GDP
D.
GDP and GNP would be the same
Answer:
gnp would be higher than gdp
6. For a trip to the beach, Kelly drove for 5/6 hour and Joshua drove for 2/5 hour. How much longer did Kelly drive than Joshua? Find the exact amount.
The number of hours Kelly drove longer than Joshua is 13/30 hours.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The number of hours driven by Kelly.
= 5/6 hours
The number of hours driven by Joshua.
= 2/5 hours
Now,
The difference between the number of hours driven by Kelly and Joshua.
= 5/6 - 2/5
= (25 - 12)/30
= 13/30
Thus,
Kelly drove 13/30 hours longer.
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