[tex] - 16x = - 80[/tex]
Divided sides by -16
[tex] \frac{ - 16}{ - 16}x = \frac{ - 80}{ - 16} \\ [/tex]
[tex]x = 5[/tex]
And we're done...♥️♥️♥️♥️♥️
During spring break, a class of 14 children went to Walt Disney World in Florida. The price for each child’s ticket was $75, while each adult ticket was $85. If the total amount spent on tickets was $1,475, how many adults went on the trip?
Answer:
5 adults went on the trip.
Step-by-step explanation:
There are 14 children ($75 each) and the total was $1475. We need to find out how many adults were there ($85 each)
c is for children and a is for adults
equation: $75c+ $85a = $1475
$75(14)+ $85a= $1475
$1050 + $85a = $1475
-1050 -1050
$85a = $425
85a/85 = 425/85
a = 5
5 adults went on the trip. Hope this helps! :)
There were 5 adults that went on the trip.
What is unitary method ?Unitary method is finding the value for a single unit.
According to the given question During spring break, a class of 14 children went to Walt Disney World in Florida the price for each child’s ticket was 75 dollars.
So, Cost of tickets of 14 children is
= (14 × 75) dollars.
= 1050 dollars.
Total amount spent on tickets for children and adults is 1475 dollars.
∴ Total amount spent for tickets for the adults is
= ( 1475 - 1050 ) dollars.
= 425 dollars.
Given price of one ticket for adult is 85 dollars, So for 425 dollars the no. of tickets will be
= 425/85 dollars.
= 5 tickets which states there were 5 adults.
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explain how the digit 5 in the number 484.5 and 635.82 are different
Answer:
The decimal point.
Explanation:
in 484.5 the 5 is behind the decimal point. Meaning that it isn't quite a full number.
In 635.82 the 5 is in front of the decimal point. Meaning that this is a whole number.
In digit 484.5, 5 represents the 5 tenth and in digit 635.82, 5 presents 5 ones.
What is place value?Place value is the estimation of a digit's value based on where it appears in a number
For instance, in digit 27, there are, 2 tens, and 7 ones.
The given digits are 484.5 and 635.82,
In the digit 484.5 the place value of 5 is 0.5 or 5 tenth,
In the digit 635.82 the place value of 5 is 5 or 5 ones.
Therefore, in digit 484.5, 5 represents the 5 tenth and in digit 635.82, 5 presents 5 ones.
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7. Which is better? 500 people giving you $200 each or 200 people
giving you $500 each? Explain.
Answer:
both will give you the same amount of money, $100,000, so I would consider the fact that I'd rather only have 200 people give me money then 500. So I would say 200 people giving me $500 would be the best option
4 (3q-2) = 4q + 2q
Show your work
Answer:
8/6 or 1 1/3
Step-by-step explanation:
Step 1:
4 ( 3q - 2 ) = 4q + 2q Equation
Step 2:
12q - 8 = 4q + 2q Multiply
Step 3:
12q - 8 = 6q Combine Like Terms
Step 4:
12q = 6q + 8 Add 8 on both sides
Step 5:
6q = 8 Subtract 6q on both sides
Step 6:
q = 8 ÷ 6 Divide
Answer:
q = 8/6 or 1 1/3
Hope This Helps :)
Answer:
Hi there! The answer is q=4/3.
Step-by-step explanation:
First—Distrubute the 4 on each side of 3q-2. You should get 12q-8 on the left side of the equation.
Second— Combine like terms. You should see the 4q+2q obviously. Since they have the same letters, they should be combined Into 6q.
as a result you should have 12q-8 on the left side and 6q on the right side.
Switch 6q’s place with -8. But make sure you change the signs of negative and positives as you switch.
Now you should have 12q-6q=8.
Combine like terms again which will be 12q-6q Which will become 6q.
Now you should have 6q=8. divide 6 to both sides of the equation.
Since 6/6 = 1, there should be no coefficients stuck on the q.
when 8 is divided by 6, you should get 8/6.
WAIT YOU ARE NOT FINISHED YET!! YOU HAVE ONE MORE STEP AND YOU WILL HAVE ANSWER.
simplify 8/6 top and bottom divided by 2 each, then you should have 4/3.
Comment if you are confused!! :)
What do I do on this question
Answer:
the ratio is 2:11
Step-by-step explanation:
I already wrote this in a comment, but I'm writing it here because the other person's answer was deleted.
when all the measurements of the ingredients are added together, that makes 11.
according to the recipe, there's 2 cups of mixed nuts.
so the ratio is 2 cups of mixed nuts to 11 cups of granola.
A glider begins its flight 7/10 mile above the ground. After 45 minutes, it is 2/5 mile above the ground. Find the change in height of the glider. If it continues to descend at this rate, how long does the entire descent last?
The change in height ___ is
mile(s).
The entire descent lasts ___ hour(s).
Answer:
Answer One: 3 miles. Answer Two: 105.
Step-by-step explanation:
Answer One: Due to it being 7/10s we have to get 2/5 to a tenth. We multiply 2 and 5 by 2 to get 4/10s subtract 7/10s to 4/10s getting 3/10s which is equal to 45 minutes. So that means 4/10s is equal to an hour. The change in height is 3/10s. Answer Two: It begins it's flight at 7/10s above ground so after 45 minutes it's now at 4/10s due to 45 minutes equaling 3/10s, you need another hour to reach the ground so add 45 minutes to 60 minutes to get 105.
A food bank sends a truck with 400 pounds of food to each of five local food pantries every week, and receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 pounds of food on hand at the begining of July , how much will it have six weeks later?
Answer:
6,400
Step-by-step explanation:
The calculation is shown below:-
But before that find the total number of pound in five local bonds
= 400 × 5
= 2,000
Now the amount at six week later is
= Food pounds + 3 × number of pounds + 3 × suplus shipment
= 10,000 + 3 × 2,000 - 3 × 3,200
= 10,000 + 6,000 - 9,600
= 6,400
Therefore according to the given situation the correct answer is 6,400
There are 6 m spaces help
Answer with step-by-step explanation:
If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.
7.5 cm = 1/16 m
9 cm = 3/40 m
6 cm = 1/20 m
3.5 cm = 7/240 m
Hope this helped!
solve for l:
p = 2(l +w)
Answer:
p=2/1
Step-by-step explanation:
Hope this helps ;)
How many solutions exist for the given equation?
3x + 13 = 3(x + 6) + 1
zero
one
two
infinitely many
Answer:
Zero Solutions
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+13=3(x+6)+1
3x+13=(3)(x)+(3)(6)+1(Distribute)
3x+13=3x+18+1
3x+13=(3x)+(18+1)(Combine Like Terms)
3x+13=3x+19
3x+13=3x+19
Step 2: Subtract 3x from both sides.
3x+13−3x=3x+19−3x
13=19
Step 3: Subtract 13 from both sides.
13−13=19−13
0=6
Answer:
There are no solutions.
Which system is independent and inconsistent? x-y+Z = 2 O x-y-Z=2 (x+y+Z = 2 x-y+z= 2 O X+y-Z=3 X-y-z=4 2x+2y + 2z=4 -X-y-Z=-2 X+y+z=2 x-y-Z = 2 X+Y-Z=3 -X+y+Z=4
Answer: D
Step-by-step explanation:
what is 8+4*5+5-9+2+45-12+95463/8+34/2=?
Answer:
12008.875
Step-by-step explanation:
Why in the world did I have nearly 800 points worth of questions deleted? Every single one of them were right! What do I do now?
Answer:
read your username :)
Step-by-step explanation:
highest to lowest
-0.6 , 0.38, -0.41, 0.09, 0.7
Answer:0.38 0.09 0.7 -0.6 -0.41
Step-by-step explanation:
at is the equation in slope-intercept form for a line that goes through the points (- 2, 16) and (2, - 8)
Answer:
y=-6x+4
Step-by-step explanation:
The function 1=21.55 cos m-7 +43.75models the average high temperature in degrees Fahrenheit each month b throughout the year in Anchorage, Alaska, where m 1 for January and m 12 for December. Approximate y how many nmonths is the average high temperature above freezing (32 F)?
Answer:
8
Step-by-step explanation:
The number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
What is a function?A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.
For the given situation,
The function is [tex]t=21.55 cos(\frac{\pi }{6}(m-7) )+43.75[/tex]
The temperature for months are calculated using the function t.
Here m = 1 refers January,
m = 2 refers February and so on.
Now substitute m = 1 for January,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-6) )+43.75[/tex]
⇒ [tex]t=22.2[/tex]
For February m = 2,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-5) )+43.75[/tex]
⇒ [tex]t=25.08[/tex]
For march m = 3,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-4) )+43.75[/tex]
⇒ [tex]t=32.9[/tex]
For April m = 4,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For May m = 5,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For June m = 6,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(6-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For July m = 7,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(7-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(0) )+43.75[/tex]
⇒ [tex]t=65.3[/tex]
For August m = 8,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(8-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For September m = 9,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(9-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For October m = 10,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(10-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For November m = 11,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(11-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4) )+43.75[/tex]
⇒ [tex]t=32.975[/tex]
For December m = 12,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(12-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5) )+43.75[/tex]
⇒ [tex]t=25.087[/tex]
Thus from the above temperatures of each month, the temperature for three months are less than 32°F.
Hence we can conclude that the number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
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Help pls
10 - 3x = 22
Answer:
its 7
Step-by-step explanation:
1/a+1/b=1/x solve for x
Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex] = [tex]\frac{1}{x}[/tex] ( express the sum on the left as a single fraction )
[tex]\frac{b+a}{ab}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )
x(b + a) = ab ← divide both sides by (b + a)
x = [tex]\frac{ab}{b+a}[/tex]
Factor the Greatest Common Factor 6x+12
Answer:
6 is the greatest common factor
Step-by-step explanation:
6 goes into 6 once evenly
6 goes into 12 twice evenly
6(x + 2)
I swear I'm not dumb I just cbf rn. I feel like sleeping can someone help??
Use compositions to verify that g and g^-1 are in fact inverses.
g(x): 1/x+2
g^-1(x): 1/x - 2
Answer:
as written there, they are not inverses
proof by counter example: since g(1) = 3 , but g^-1(3) = -5/3 != 1
Step-by-step explanation:
g(g^-1(x)) == x if they are indeed inverses
1/(1/x -2) + 2 = x/(1-2x) + 2 != x so, they are not inverses
7/16 times 2 PLEASE ANSWER SIMPLIFY AND ANSWER HAS TO BE A SIMPLIFIED FRACTION PLS PLS PLS MAKE IT A MIXED NUMBER
Answer:
[tex]\frac{14}{16}[/tex] simplified to [tex]\frac{7}{8\\}[/tex]
Step-by-step explanation:
[tex]\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}[/tex]
The temperature at the base of the mountain was 14°F. The temperature at the summit was 16°F lower
than the base. What was the temperature at the summit?
Answer:
-2°F
Step-by-step explanation:
12-16=-2
y = a(x - 2)(x + 4)
In the quadratic equation above, a is a nonzero
constant. The graph of the equation in the wy-plane
is a parabola with vertex (c,d). Which of the
following is equal to d ?
A) -9a
B) -8a
C) -5a
D) -24
Answer:
D
Step-by-step explanation:
It just is
Solve
- 5 3/4 - 3 1/2 = ???
Answer:
-9 1/4
Step-by-step explanation:
- 5 3/4 - 3 1/2
= -23/4 - 7/2
= -23/4 - 14/4
= -37/4
= - 9 1/4
Answer:
-9 1/4 and as a decimal its (Decimal: -9.25)
Step-by-step explanation:
Hopefully i helped <3
20 adults and 15 children are going to attend a musical evening. The organizers have arranged the tables in such a way that there is equal number of adults and children on each table and no one is left over. What is the GREATEST number of tables that the organizer can set up ?
Answer:
5 tables
Step-by-step explanation:
if four adults and three children are seated at each table, there can be a total of 5 tables.
Estimate the product. Then find the exact product.
7.9(10.1)
estimated product = 80, exact product = 7.97
estimated product = 80, exact product = 79.79
estimated product = 80, exact product = 797
estimated product = 80, exact product = 7,979
Answer:
79.79
Step-by-step explanation:
CAN ANYONE PLZZZ HELP ME? I WILL MARK THE FIRST AND THE RIGHT ANSWER THE BRAINLIST!!!
Answer:
The answer would be 17.
Step-by-step explanation:
A supermarket offers 8 bags of pretzels for $10. What is the cost of 1 bags of pretzels?
Answer:
$1.25
Step-by-step explanation:
Answer:
$1.25
Step-by-step explanation:
If 8 bags are $10, 1 bag will be 10/8.
10/8=1.25
1 bag of pretzels costs $1.25.
Hope this helps!! Have a great day C:
Maria makes $6.00 an hour plus 5% commission for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday? Explain your answer.
Answer:
21
Step-by-step explanation:it's 22222222211111211111112211
