Answer:
[tex]-2\frac{-1}{2}[/tex]
Step-by-step explanation:
To distribute the -6, multiply every numerator by -6, this gets you
-6/4+12/3-30/6
To put these together, they all need to have a common denominator. We can make all of the denomiators 12 by multiplying the numerator by whatever we multiply the denominators by to get 12.
-18/12+48/12-60/12
This gets you -30/12
To make this a proper fraction, divide -30 by 12 and put the whole number to the left of the fraction (-2), making a mixed number. The remainder stays a fraction which is -6/12. This reduces down to -1/2. Put -2 and -1/2 together to get [tex]-2\frac{-1}{2}[/tex]
Three families bought food at a baseball game. The Davis family spent $16.50 on 3 hot dogs, 2 drinks, and 1 pretzel. The Ruiz family spent $26 on 4 hot dogs, 4 drinks, and 2 pretzels. the Cho family spent $13.75 on 2 hot dogs, 1 drink, and 3 pretzels. What is the price of one pretzel?
Answer:
Price of one pretzel = $1.5
Step-by-step explanation:
Let the price of a hot dog = [tex]x[/tex]
Let the price of a drink = [tex]y[/tex]
Let the price of a pretzel = [tex]z[/tex]
As per the given question statement:
[tex]3x+2y+z=\$16.50..... (1)\\4x+4y+2z=\$26........ (2)\\2x+y+3z=\$13.75..... (3)[/tex]
To find:
The price of one pretzel, i.e. [tex]z=?[/tex]
Multiplying (3) with 2 and subtracting (1) from it:
[tex]x+5z=11[/tex] ..... (4)
Multiplying (3) with 4 and subtracting (2) from it:
[tex]4x+10z=29[/tex] ..... (5)
Multiplying (4) with 4 and subtracting (5) from it:
[tex]10z=15\\\Rightarrow z =\bold{1.5}[/tex]
The price of one pretzel is $1.50.
Calculation of the price:Let the price of a hot dog = x
Let the price of a drink = y
Let the price of a pretzel = z
So,
The equations are
3x + 2y + z = $16.50 .....(1)
4x + 4y + 2z = $26..........(2)
2x + y + 3z = $13.75........(3)
Now
Here we Multiplying (3) with 2 and subtracting (1) from it:
So, it gives x + 5z = 11 ......(4)
Now
Multiplying (3) with 4 and subtracting (2) from it:
So, 4x + 10z = 29...(5)
Now
Multiplying (4) with 4 and subtracting (5) from it:
So, 10z = 15
x = 1.5
Therefore, The price of one pretzel is $1.50.
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SOMEONE HELP ME PLSS!! IT DUE TODAY!!
I think its D I hope you do good on your test! Good luck!
PLZ HELP WILL GIVE BRAINLIEST
Divide 6 / 1/4 =
giving brainliest
Answer:
24
Step-by-step explanation:
i showed my work
Answer:
Here we will show you how to calculate 6 divided by 1/4. We will give you the answer in fraction form and in decimal form.
Here is 6 divided by 1/4 displayed mathematically in colors:
6
÷
1
4
The numbers in 6 divided by 1/4 are labeled below:
6 = whole number
1 = numerator
4 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 4
1
=
24
1
Thus, the answer to 6 divided by 1/4 in fraction form is:
24
1
To make the answer to 6 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
24 / 1 = 24
The answer is rounded to the nearest two decimal points if necessary.
24/1 is an improper fraction and should be written as 24.
Step-by-step explanation:
For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total
of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?
Answer:
30 adult tickets,50 kids ticketsStep-by-step explanation:
Given
Cost of adult ticket = $8.50Cost of kids ticket = $7.00Number of tickets = 80Total cost = $605Let the adult ticket be a and kids be k
We got equations
a + k = 808.5a + 7k = 605From the first equation we get
k = 80 -aSubstituting k in the second equation
8.5a + 7(80 - a) = 6058.5a - 7a + 560= 6051.5a = 45a = 45/1.5a = 30Then finding k
k = 80 - 30 = 50Lin ran 2 ⅔ miles in ⅖ of an hour. Noah ran 8 ⅔ miles in 4/3 of an hour.
Who ran faster, Noah or Lin?
How far would Lin run in 1 hour?
How far did Noah run in 1 hour?
How long would it take Lin to run 1 mile at that rate?
How long would it take Noah to run 1 mile at that rate?
Thirty pounds of lemon drops are to be mixed with cherry chews to make a mixture that will sell for $1.60 per pound. How much (in Ib) of the more expensive candy should be used? See the table.
Find f(7) given f(x) = 5x+ x + 2
Answer:
44
Step-by-step explanation:
hi! we can plug in 7 for each x in this equation.
f(7)=5(7)+7+2
=35+7+2
=35+9
=44
Gilberto needs to purchase baseballs and bats for his youth baseball league. He'll need at least 15 pieces of equipment, but he only has $435 to spend. Baseballs cost $20 each and bats cost $35 each. If Gilberto wants to purchase the most amount of equipment and still stay within his budget, which combination of baseballs and bats is optimal? (2 points)
a (20, 1)
b (13, 5)
c (13, 2)
d (10, 5)
Answer: A) (20, 1)
Step-by-step explanation: Largest number
If g(x) = 1-3/4x; Find -5 * g(4) - 1
-2•f(-6) - 7•g(-7)
Can someone please help me
Answer:
Your answer is: 12f + 49g
Simplify each term.
Step-by-step explanation:
Hope this helped : )
Find the midpoint of the segment with the given endpoints. (-1,3) and (-3,-9)
Answer:
( -2,-3) is the midpoint
Step-by-step explanation:
To find the x coordinates of the midpoint, add the x coordinates of the endpoints and divide by 2
( -1+-3)/2 = -4/2 =-2
To find the y coordinates of the midpoint, add the y coordinates of the endpoints and divide by 2
( 3+-9)/2 = -6/2 =-3
( -2,-3) is the midpoint
question pictured. 15 pooints
Answer:
imagine
Step-by-step explanation:
lol there no picture but lets say its invisible
Trey’s grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture.
What is the area of a picture with side lengths that are 12 inches? Use the formula A= s^2, where s is the length of one side.
A. 12in.^2
B. 144in.^2
C. 24in.^2
D. 288in.^2
Answer:
B, 144in.^2 :)
Step-by-step explanation:
The area of a picture with side lengths that are 12 inches is 144 inches²
It should be noted that a square has four sides that are equal. In this case, we've been given the side of one of the lengths to be 12 inches.
Therefore, the square of the sides will be 12 inches multiplied by 12 inches. This will then be:
Area of a square = side ²
Area = 12 inches × 12 inches
Area = 144 inches²
Therefore, the area of a picture with side lengths that are 12 inches is 144 inches ²
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The circumference of a circular region is shown. What type of number best describes the diameter of the
circle. Complete the explanation.
л mi
"
numbers best describes the situation.
TI
The diameter is = = 1 mile, so the set of integer
TI
real
irrational
integer
whole
Calculate the product 78.93 x 32.45
Answer:
The answer is 2 561,2785 !!!
The required value is 2,556.2785 which is determined by the multiplication operation.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The numbers are given in the question, as follows:
78.93 and 32.45
To calculate the product of 78.93 and 32.45, you can use the standard multiplication algorithm.
78.93 x 32.45
Apply the multiplication operation, and we get
2,556.2785
Thus, the required value is 2,556.2785.
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Can y’all help me pls
Answer:
Step-by-step explanation:
boiii this look are as a mf
Katie deposited $1,000 in the bank for 7years. She earned a simple interest rate of 2.5%. How much interest did she earn? Round your answer to the nearest cent.
Answer:
$188.69
Step-by-step explanation:
1000 x 1.07^7 = $1188.69
1188.69-1000 = $188.69
Answer:
i will say $188.69
Step-by-step explanation:
hope i helped u and hope to get a Brainliest
byee :)
How do you do the second part of the problem?
Answer:
8
Step-by-step explanation:
According to the Alternating Series Estimation Theorem:
│aₙ₊₁│≤ ε
1 / (4 (n + 1)⁴) ≤ 0.00005
4 (n + 1)⁴ ≥ 20000
(n + 1)⁴ ≥ 5000
n + 1 ≥ 8.41
n ≥ 7.41
n must be an integer, so n ≥ 8.
What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP
Answer:
-5
Step-by-step explanation:
-4x +10 =5(x +11)
-4x +10 =5x +55
-4x - 5x =55 - 10
-9x =45
x=-45 :9
x=-5
guys whats 1 + 1?
im rly confused plz help
Serious Answer:
It's 2, you can use the calculator
Joke Answer:
Uhh it's 11 !
solve for n
-53 + n = -28
Answer:
25
Step-by-step explanation:
-53 + n= -28
-53 + 53 + n = -28 + 53
n = 25
Answer: -81
Step-by-step explanation: -53 + n = -28
= n = -53/-28
= -81 as you should put the sign of the bigger no.
please mark as brainliest
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make pillows and 3 yards to make curtains how much fabric is remaining
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
Please mark as brainliest.
10 times the quotient of 6 and 3
Answer:
20
Step-by-step explanation:
because first you do 6/3 because thats what quotient means which equals to 2 and then you do 10*2 which gives you 20
Circle YES or NO The terms -5x and 5x are like terms.
Answer:
YES
Step-by-step explanation:
Answer:
yes!
Step-by-step explanation:
x are still the same term whether they are negative or not! Good Luck!
Anna has 1 more than half the number of pets her friend does. Anna has 3 pets.
Answer:
Anna's friend has 4 pets.
Step-by-step explanation:
Anna has 3 pets.
3-1=2
2x2=4
What is the least common multiple of 4 and 12?
Answer:
The lcm (least common multiple) of 4 and 12 is 12.
Step-by-step explanation:
Find the prime factorization of 4
4 = 2 × 2
Find the prime factorization of 12
12 = 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3
LCM = 12
The Least common multiple of 4 and 12 is 12.
I hope this helps!
1.
Subtract 24 from the product
of 12 and 8. 24
Answer:
12 multiplied by 8.24=98.88
Subtract 24 from 98.88=74.88
Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Calculate how much interest she will pay over the 5 years?
How much will Leah have to pay back in total
Answer:
She will pay $7,500 interest over the 5 years
She will have to pay back $17,500 in total
Step-by-step explanation:
Let us revise the rule of the simple interest
I = Prt and A = P(1 + rt) , where:
A = Total Accrued Amount (principal + interest) P = Principal Amount I = Interest Amount r = Rate of Interest per year in decimalt = Time Period involved in months or years∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
∴ P = 10,000
∴ t = 5
∴ r = 15% = [tex]\frac{15}{100}[/tex] = 0.15
→ Substitute them in the first rule to find the interest
∵ I = 10,000(0.15)(5)
∴ I = 7,500
∴ She will pay $7,500 interest over the 5 years
→ Let us find A
∵ A = 10,000(1 + 0.15×5)
∴ A = 17,500
∴ She will have to pay back $17,500 in total
To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $53.95 , a hat costs $17.95 , and a pair of cleats costs $29.95 . What is the total cost for a team of 12 players?
Answer:
1222.2
explanation:
53.95 x 12 = 647.40
17.95 x 12 = 215.40
29.95 x 12 = 359.40
647.40 + 359.40 + 215.40 = 1222.2
The total cost for a team of 12 players as per given cost of different equipment's is equal to $1222.20.
To calculate the total cost for a team of 12 players,
Add up the costs of the required equipment for each player.
The equipment includes a glove, a hat, and a pair of cleats.
Cost of one glove = $53.95
Cost of one hat = $17.95
Cost of one pair of cleats = $29.95
Now, we need to calculate the total cost for each player by adding the costs of all three items:
Total cost per player = Cost of glove + Cost of hat + Cost of cleats
Total cost per player = $53.95 + $17.95 + $29.95
Total cost per player = $101.85
Finally, to find the total cost for a team of 12 players, multiply the total cost per player by the number of players:
Total cost for the team of 12 players = Total cost per player × Number of players
Total cost for the team of 12 players = $101.85 × 12
Total cost for the team of 12 players = $1222.20
Therefore, the total cost for a team of 12 players is $1222.20.
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